{"data":[{"name":"Protein-protein interaction","means":[[32.969587908261964,29.6292694095442,26.189738765365405,22.756669081136728,18.55282513755853,23.220472094788544,20.870742225130197,23.64604216667285,24.761047735997398,22.202226551218512,25.348824936891088,27.807228095985174,22.727079400840395,22.893619003405536,26.29372682309672,25.329173869785517,20.917112603593786,23.13831808096845,22.448222047796623,22.688723113181563,24.7187676538478,26.166147937177016,26.596419706990375,24.586523806961008,21.609915239290526,19.978760575297255,17.562832418796084,17.016487616417713,20.69226970018359,22.91400201094164,28.573769961987736,28.242278822322433,32.76908590019632,33.98629135002596,29.91613611016517,26.433288285046174,25.27441001113008,21.646318188813147,18.715860123593316,21.277428131579327,17.596352904073544,21.465209880499533,24.286603832171238,21.940386919356456,22.573629599475346,20.03860884957051,22.988825039843782,23.388296741350963,18.93060577964121,21.088024717005382,24.80857029022918,25.288786411338084,27.644372355777314,23.746755727539806,29.413186801817183,31.554199030621913,28.39564623036982,29.287158080155073,33.73123607097823,33.17656213693346,30.581494559504435,34.29007254602495,34.21824396093766,35.51157257411719,31.544905881312275,28.9244819723208,28.6247831031519,27.680955681422528,26.554863961970888,27.78209704204216,27.459365617240636,31.01682411271122,31.6384712258628,31.697455174439845,31.57144951040927,36.36813298228974,32.51884181819631,36.286942251794514,33.323544097533144,31.874769065500253,30.297076001005333,27.19673709018001,27.07709597827226,24.883091262261438,20.934255859489674,22.70746386575354,24.63591509802931,28.321423169153288,28.23282227287582,33.84133619372457,32.76325907485521,36.932202705349006,35.45537741415211,34.9065818152222,31.338747093315583,34.11789356253645,30.947467984185,31.68878077796381,30.377047952097985,33.54332643884569,30.185060654277894,29.61538671405336,27.132503865026525,25.75450630028826,24.21732096559641,21.930911630772563,24.47578669844025,21.923452079063736,21.276192579246707,22.636688478328047,20.591504012428,17.40269581464932,18.297527629151585,14.260650901932665,16.32112680983909,13.179898962706417,14.933943897075993,12.613031227177082,18.04693298991489,19.602301923204656,18.79766570175197,18.45565025706197,14.8710100679417,14.866561582995772,16.552984955233395,12.578221758391097,17.556506702802483,14.596685053978792,16.124025699554817,17.25199598817401,15.929398316977776,19.404277522094283,16.35846994015798,18.657816668940452,12.964287553569415,11.032952544489326,10.221551421545524,6.8981232659849026,6.074448737465925,6.587887770993537,6.611384447656275,9.435842738668141,11.88071504495902,10.364752033425711,12.978292453191015,15.538426218315655,13.720747560192166,17.042159103913615,18.067770775660726,20.595798471990058,23.347446895725724,26.980622700682517,30.720787251293338,34.48091434469723,33.48505474610146,30.764762426021363,27.054418876767844,25.667134952141122,23.669306975532336,20.903805142984535,15.696129444560265,17.105765351077814,11.190907815616724,14.56219258615301,11.551583100345347,6.177614056825991,9.27350596316176,9.591786472517365,8.992775767619435,5.137880498158303,7.540748912530547,6.952248710069595,11.700410472096916,15.246452575521543,18.364863101828185,22.022138517234296,22.734675870589385,26.677899599585285,22.833400581075338,23.5841134928615,18.601031196182028,19.068771157738343,20.19363031203113,20.92780077174194,18.846476357349804,21.44640455068502,21.61650565992897,22.389468254679716,18.55536847243254,17.327349759059995,15.14458142222546,15.802671239518517,16.61115642794892,15.616518421261748,17.24114341182156,18.963083526061922,16.76952196596496,20.610260417167698,21.604566631096073,21.960415825016018,26.637104217296205,27.303001561144026,23.83984758371342,25.577461676234112,29.737123573148743,28.255929420276342,25.524116562555996,29.930510790013518,33.37490651276026,30.189999981767514,31.396871028390496,35.10980616660992,34.465624692742274,32.586808592758096,35.82777301685209,33.3193525933051,38.446682077004176,34.798655622159316,34.07294962482743,37.892050563555266,39.78520815572689,45.08755022878454,43.765631461628,42.679601449018776,39.89378590822308,40.624920970956076,37.031956684271535,38.97840046448515,39.116958943368445,33.257269611768834,33.51965005224818,35.85308758319498,32.798982237022805,29.42296091433086,29.908779775913477,30.99244218733401,28.421281413362703,23.65011196294253,25.161925097375924,25.546535395808437,29.369760753410546,31.909734817291007,33.53975016796074,38.0073155996971,34.80174609655625,31.253684297764092,36.0910597267374,37.04808840207222,32.43606947366713,33.10090906671309,37.22059230157347,36.602142628517505,34.287360573141434,38.52257800228109,40.574859201670236,38.26791005658106,38.70398018913016,41.790355346380345,39.332159786104526,39.86395642025275,36.744550164543895,38.94170528719957,39.95352141022654,34.49467264054307,34.5765498462307,36.93861150533468,35.201983058476166,30.84901114100594,35.18699804888406,36.11452021315276,31.134994450365824,29.6977843549884,34.628236444631874,34.69486136185109,31.14922917200841,28.690326695461437,32.102007979972186,30.356955168606408,33.50651406565611,29.4163653639614,28.482336237444752,27.24530935039117,26.328695924032427,24.295714998401195,24.631977892971243,22.05760963743485,23.901593174847783,20.028091484228494,19.625621076162812,17.446678361853902,22.383398894372025,24.816454119853102,28.611117790305567,28.645896942842402,24.997704219759076,28.510865802681497,31.577132327389183,27.86410035549333,27.93137250970813,32.5382060241951,34.91685677815789,34.74326510467014,36.02303151073441,35.929258881417105],[29.635487367218712,26.280983507474104,22.952682952212307,19.412606806915534,15.483216552811122,20.489128884515342,18.56483800092594,21.78703350028882,22.955290780670953,20.882312409735295,24.28555283236019,26.820833114139546,22.200851815338346,22.178943839770362,26.093301059942707,25.409369705793512,21.231452266990534,24.030536441843765,23.85135101651508,24.484853842440362,26.844135894655288,28.706967440097905,29.16947281503168,27.310031762982447,24.29260652512944,22.18034672673388,19.64778192443203,18.397924105238403,21.771490519064105,23.570437962962693,29.241467612485895,28.692929548302768,33.260807151894696,34.95260894779046,30.98967051597558,27.721935451057462,26.37830027405414,23.436469274946937,20.811934654571978,23.87262979945455,20.406872596261422,23.978348696812052,27.086636763678364,25.016117040300934,25.783315030203227,23.343822730557296,26.415345616809063,26.755146580816856,22.26161303579147,24.554550133850917,28.152041041076014,28.522261329076006,30.76791060535744,26.70207523631727,32.18619907737474,34.59718791087593,31.425134002306905,31.947301458999597,36.50680949487434,36.21066288549219,33.36120947453675,36.800580185931416,36.41132920038517,37.85124901417395,34.06144525953786,31.18610818421883,30.497709872112864,29.14647625646821,27.776388103788452,28.47202556780742,28.100558056630437,31.63335609841148,32.44406784987138,33.01175399393409,32.8030312330719,37.95680437907632,34.33079524615321,37.996889620303776,35.206504137087485,34.081667693803624,32.2654107683518,29.429835207129432,28.809907395365293,26.888854791778996,23.083813063094844,24.50753675194252,26.680401253547654,29.9209662490388,29.97082001969378,35.29059974340722,34.059015234000505,38.186407631390004,36.35230915376597,35.50396903690065,31.622581776804537,34.16345054685473,30.68700701793868,31.605855251195596,29.954529792127744,32.8359009838681,30.13194716833671,29.21851596306842,27.407895377424143,25.568989067337487,24.566549243393265,21.572303778110783,24.025062746276163,21.344934315737003,19.974998341734477,21.491616370095844,18.902070707536065,16.286361393083872,16.79264078911553,13.137062632985797,15.64528270146771,12.732405808534029,15.358541873464493,13.439219766875771,19.36062843633003,20.356715015543912,19.055731560876183,18.113579458696517,14.110835940735164,13.536326675603954,14.660943910142832,10.614512978596112,15.264546958082823,12.829923365242436,14.56049082937089,16.706158886070217,14.885148596037688,18.899703045010334,16.57386621975765,19.029226137003562,13.19567918879279,10.671134285282541,8.48949183348525,5.481653712036869,4.6057278356637905,7.273769383464147,8.278996288710688,12.198542465769519,14.026502214020514,12.036009008022905,15.06425932207924,16.804756336264415,14.414736435386553,17.11547947749167,17.714361478061864,19.574996347996322,22.122254181988684,25.56928470346247,29.462807045757103,32.86171353928317,32.2660861485274,29.87726443512345,26.331930874969668,24.972215205319984,23.50789957156184,20.640009744008584,16.01625251170741,18.20653573609698,12.653625754877746,16.59471761756957,14.032282027074334,9.220890817314126,11.498125887596602,12.045042666508648,10.208885961148985,6.364333947464381,8.362979603751164,8.015116311894698,13.230669662870792,16.57388139009855,19.615644142830504,22.891775436285396,23.50652701274491,27.739584779809075,24.34477030225699,24.92537864220932,20.30376769645228,19.722914875275954,21.340439982815155,22.37575959629286,20.80832525841999,23.861325726815345,24.266522533400224,25.301632629259394,21.709342224769582,20.315626432285512,17.893582490096286,17.93232236571893,18.442280834990363,16.838532115349743,17.89392918884577,19.006158059913894,16.034649850696052,19.6436643223949,19.913482949241356,20.27676565557941,24.771536133351656,25.381881456146772,21.687551357982766,23.13005132451662,27.366429009741353,25.674604996683353,22.541974282218124,27.092298306078963,30.667753947075134,27.142063915824863,28.22590445352557,32.01356103073828,31.352529217414553,29.252561512629846,32.48843989117471,30.00485069680845,35.269614426642605,31.67651520034359,31.108308293763475,34.98944142075129,37.155598893308124,42.39347837922716,41.31283386187246,40.43386547849935,37.872816625277416,38.88641703080348,35.45222027336808,37.65352803374398,37.49428411641364,31.498998436968314,32.2047827933252,34.60726650836495,31.232184956381293,28.006437673777064,28.986160785683754,29.75638369394266,26.77651809145596,22.559431477212847,23.4273755199254,24.420022579694525,28.25142287419696,30.388790618041718,32.28836536167631,36.60671649451475,33.555396122349045,29.75259463911831,34.26709580142923,35.350678513926134,30.63072147203687,30.93030609657947,34.997839247877266,34.29770898740934,31.728463322530875,36.011971551730895,38.0127629428236,35.50272931165485,35.859254719904406,39.049082150386475,36.61021293904148,37.40842677732813,34.504911026435536,36.82885207365685,37.491732420669464,31.91861503737381,32.38765842201945,34.59023434412533,32.61665711033529,28.478752644702826,33.0859055572557,33.674432110778255,28.526319594088456,27.52696739041541,32.52981034180931,32.26794387561585,28.56859247730522,25.788224638877015,29.31075753584512,27.28188416756609,30.347537127270563,26.07968510235929,25.263512324136038,23.88582482263287,22.845386728960804,20.952712172646066,21.47890809922766,19.097059787127442,21.144801940714917,17.187225729397642,17.39087061688006,14.965086768190588,19.6591118389501,22.676839176448553,26.391814116347135,26.622667624014454,22.614116488635233,25.807612405191158,29.046446663843188,25.438984617975017,24.99855267237327,29.624457133070162,32.17607210297005,32.092447186872526,33.501819696153696,33.57984951698754],[26.342586089289206,23.068147348169287,20.241621817212536,16.136768313859154,13.332582077048844,18.436322108995686,17.168050037319233,21.045939972968917,21.851350720271704,20.281155434552957,23.81568368872951,26.6342760434979,22.668408893449428,22.0224049769691,26.520221581350643,26.36683083220192,22.41551200997398,25.625242700887103,25.689420595810322,26.981226775945963,29.457662985174743,31.82677101965058,32.11883382137664,30.30867894169744,27.45407151021201,24.824309634590584,22.51411391159616,20.69982553664755,23.84852385356573,25.400969556423387,30.685148748488,30.26052453585421,34.752683550748664,36.863389558535474,33.15437291472103,30.025149994448906,28.80660494953267,26.400768980169616,24.142048593702423,27.790503703049936,24.266768105366733,27.304288872854347,30.730093172445436,28.840161992548392,29.49087232353551,27.089233492894696,30.271378295371957,30.79422764821099,26.401488742087714,28.934657981487945,32.48543850170834,32.95566490184973,35.04660890363764,30.83993280371787,36.22349742765305,38.70333397165481,35.362365519789044,35.645668995888634,40.30927215369172,40.07632217825459,36.885771013533095,40.02166290965892,39.35747017444575,40.69519994674699,37.12246767446201,34.148800936458436,32.80597244152701,31.168492075487666,29.288817750590116,29.476734068651258,28.859489330793316,32.18729097925126,33.42502213374296,34.52286246429645,34.50169110676182,40.04213161386983,36.84075660992591,40.49624497087491,38.027933262127725,37.31217351356499,35.49797863218153,33.04220445117177,32.158782331309915,30.614901729549274,26.881845005547813,27.831419070863767,29.937865897035945,32.827252335895096,32.69827537528059,37.71450505552372,36.131610135865316,40.04564595284534,37.86105165183813,36.81047194093505,32.61739188117107,34.74653571747422,30.945603372779132,32.394042356145384,30.50499478181596,33.22309885552571,31.37390405390127,30.381350207077297,29.33100895877956,27.282862994446155,27.085601861254585,23.457165714198354,25.886207526198334,23.236091931191446,21.00950365117117,22.528547092505963,19.194952848182922,17.306164068029126,16.89553225459105,13.862559426778132,16.190040061179154,13.49993195951721,16.724922450101076,14.954722757510165,20.993548657373672,21.645624797310504,19.667053675412777,18.254730967215263,13.803735810344856,12.947902636891257,13.603371456337257,10.441030075858874,14.538992056431159,13.386533191862576,15.482459643794057,18.765305184211705,16.61742577377516,21.044816914327484,19.535914875480877,21.990693405858416,16.318379135894844,13.3182696279816,10.087231189254151,7.911694637735804,6.431321838375425,10.219193763757387,10.867010351168396,15.457587847459255,16.91295535989156,14.937007905595394,18.399447134304875,19.44856441677567,16.672197687654958,18.782289209562435,19.18088009690228,20.033939447871568,22.50306491906494,25.371807015828992,29.570089957500684,32.24894032981543,32.06997688130117,30.259369531105442,26.89876979595901,25.869368049133424,24.88186109519249,22.34317246623199,18.53288139303836,21.045198459125015,16.0147621165604,20.314523609328123,18.338993341248045,13.79375179532324,15.911927953422104,16.34713095566532,13.99759602242264,10.5714480496034,12.282165076270356,11.937404116574438,17.0901151615453,20.103121190142975,22.86533622421712,25.746901979384003,25.99079863730795,30.593302249701395,27.686012084610415,28.274031977463395,24.094874797087087,22.72077107802108,24.872774745802054,26.167511524809594,24.91237555865035,28.189512853593108,28.582270575171812,29.812518001622514,26.201826032326434,24.87124357484977,22.40496133988823,22.183460004798327,22.517368546148788,20.56182933350759,21.138229496597777,21.618875530463594,18.010277815652348,21.187779867442945,20.477825159621485,20.858666219389043,24.92146549379992,25.398287612044882,21.438383590236473,22.36002162966239,26.613693494370214,24.527196146833155,20.695262097011295,25.455806717904192,29.193159261319327,24.969045090215708,25.79450203561807,29.707488026306773,28.9209578649921,26.304695046830286,29.559815780381346,27.178348631935854,32.752956035805305,29.237511733997952,29.101608656167528,33.0785637398468,35.72664139036449,40.7834965735751,40.1528988502091,39.685464679510716,37.511299544439275,38.95255431066909,35.80801242541838,38.32074503946378,37.71379588667719,31.62555453244267,32.959896872976145,35.35334762574191,31.55884730763922,28.65510135651479,30.23757575510386,30.4634988979162,27.007557496702745,23.73949249243927,23.76449722430852,25.621536731618036,29.362547275514164,30.91052968519726,33.1321437015667,37.167022891605896,34.32966486673722,30.276542088381575,34.240169289609206,35.43179548776901,30.602231075436976,30.382922434281074,34.25127894940802,33.35652094068933,30.43141085439927,34.79589793433997,36.62024812167593,33.70256040428456,34.008236538182054,37.39251985096905,35.04729154770944,36.33304133909549,33.837879480621496,36.3512017719567,36.41366074928116,30.711276141013446,31.84557093694562,33.718868083285685,31.34993509127629,27.668848967337794,32.594640329333515,32.54419366110958,27.188894612257155,26.964311719810325,31.916459415825802,31.03958562472964,27.119829323186988,23.800845337944835,27.28046416093081,24.651209004781574,27.674388697277315,23.083016165176826,22.73415679427079,21.009663232337513,19.508697643288194,18.097267046307675,18.955411044206596,17.216310705471873,19.779960274664045,15.874350708953768,17.2419372121088,14.41260310009713,18.325069112923586,22.249899270677908,25.751565648144332,26.096773601431376,21.609154549810306,24.2308180375592,27.602950586614,24.027281882658567,22.73168279201637,27.43687548122595,30.148449282926258,30.109562427377803,31.622274068966075,31.972870999630345],[22.61105602477506,19.287233878000986,15.904396963586269,12.509466451134639,8.21027462316179,13.233291401980068,11.831165210103334,15.456950340918196,17.061567607237635,16.20360772320498,19.951269163691066,22.12585112379574,18.63618417665882,18.902587114424353,23.31077084030597,22.893800241669105,19.70876273335884,23.570273178443017,24.91421857097536,25.779018562529888,28.987616789199762,31.451573362837582,32.35369672661586,31.184958872262058,27.814261727134017,24.970051869247445,21.890049789342786,19.310405707749563,21.50225281560038,22.034762878440485,27.73274098498836,26.370977249039864,30.870036986751394,33.507368229266966,29.817107574659683,27.28438860342038,25.36782056064725,24.197014265747892,22.377761712142554,26.266316702854716,23.671636030948147,26.603130573091704,30.127314990087815,28.9477491923662,30.433558293236864,28.552523570995962,31.897335277222844,31.542762624778316,27.009325125545036,29.652742236656607,32.59518691001367,32.628362575686445,34.39707843235333,29.931715909709865,34.71063661568446,37.862515500756444,34.82262543537101,34.26385697201743,38.98566178082101,39.56681981082012,36.221179043814935,38.93231833638568,37.772794150971286,39.84647720284521,36.551689112108114,32.99068460092741,31.944567091685006,29.625179915378546,28.367556334852065,27.8596807069809,27.837818168652294,31.408819326462798,32.03097317049396,33.580998804441435,32.697019510031325,38.29085594551674,35.00567763741887,38.17566742835478,35.70060564098659,35.26302562245233,32.809386914177956,30.66476298400453,28.91365666984259,27.779509030252925,24.48429319926917,24.99375352986249,27.70497827579895,29.740309427547302,30.349178229923144,34.8066718086665,33.54601550814749,37.63699885832232,35.12833147106756,33.56419770552916,29.259235606634608,31.42214701805087,27.573465761576372,28.29899242954281,25.96130924847486,28.053562239102586,26.57772353226946,24.955709002157096,24.50600082538957,21.923939259072952,22.26795375991632,18.140322118500915,20.64529300774254,18.351814009146104,15.673819098908787,16.801082478795124,13.180295338044116,11.63372451823412,11.295330093905221,9.079530243755569,12.63789915449982,11.26747024027256,15.163434059372705,15.09577304523805,21.131291351564347,20.443766287268602,18.793558381210538,16.53891145938724,12.954371981342865,10.597581240771149,9.651514937749049,5.462154403316201,8.491194171988637,7.546132219130968,10.036116346494001,13.940214437140286,12.596918662010127,17.211198966084886,16.6231062460858,18.18553852340047,13.21839026369772,9.476429957824132,6.935154883409648,5.415152156637653,5.96777544999902,9.44483004339095,12.95281873337644,17.301202117633267,17.376335124805795,14.424425299691931,17.35369352908675,17.17972133515155,14.058009507536596,14.895670029734614,14.367415782081562,14.80188561289796,16.706157214238573,19.76230708947341,23.722180022010406,26.58130898777258,26.640617027155738,24.77781001761252,21.70540924620778,20.354662602174013,20.0376825952153,17.154879509633922,14.2891526644248,17.77624396421488,13.880547352953746,18.293480023769327,17.218199303708026,14.34142990490654,15.674971817079962,17.58944927995594,14.76287723258031,11.402174276208006,11.363548727146888,10.37450519963333,14.747193632533069,16.98722843493471,19.366381998714694,21.556188339396677,21.858786947878823,26.456704825327964,24.243293190734672,24.554876845863145,21.19963523291987,18.570525819696453,21.564071151490346,23.476108277341485,22.708655102832715,26.457930524157142,26.98383310620743,28.969041534352666,25.96782436683156,24.650400905184792,22.146372421355018,20.93769992822509,21.55285851072912,19.22007884767401,19.438537773699323,19.86437225589062,15.606974946000182,18.093296282793776,17.060422105001415,16.304677408193175,20.606939056650138,20.313425542426312,16.268533741673693,18.08586810301533,22.0054313315236,19.472025222306762,16.595637905775725,21.395039396063392,24.395543649354515,20.443117823680684,21.905169159085094,25.60556363115187,24.44342401246911,22.563310037539786,26.202781873039243,24.122801925344582,29.278716632016764,26.859565989366562,25.949871229976164,29.633019413995896,32.47760227537614,37.62088054067272,36.90911457767544,35.816526215736154,33.64837700463464,34.92130183085831,31.47962582041925,34.46173548421928,34.238105338583644,27.967672426693557,29.260197582710408,32.377689173323624,28.80403815154579,25.628569468053502,27.55571089873205,28.56991600678414,24.99755610620881,21.5203497779654,20.6202015964026,21.657135083536335,25.360686349136547,26.411438164883805,28.252299775848424,32.073894558300395,28.960673249069714,25.11147607947259,29.02969590831596,29.841976780707018,24.921519634571215,25.038537142918845,28.74608838850429,27.72075491062683,25.097063831541497,29.653531696318936,31.323938175490984,28.515878226156655,29.22868260039193,32.62732197097554,30.506735829431992,31.64872837982007,29.01145374158909,31.882833854401238,32.21754534457905,26.48100483040847,27.729110394018235,30.13194761693475,27.87985346886528,24.238881986210657,29.570719246501962,30.025382758407858,24.700145969328908,24.575484882001955,29.919404560722842,29.458130380714138,25.65030991129291,22.231950039153478,26.598651446207636,24.188242871316103,26.2791951966666,21.51781147407608,20.05921294093806,17.784707718263846,17.688101276632068,16.274373158467217,17.94775609331313,15.670775399025526,16.94140339338992,11.9068119688997,12.80593176829127,8.963511052508771,12.948812230788118,16.412169581134386,20.02176819329989,20.075299211746703,15.70568522372139,18.77020416015347,21.926589992701434,18.289945028828225,17.635463381520466,22.329550366172885,24.840421543175847,24.806291713951722,26.33790002448588,26.59993180028247],[18.45669308978764,15.339678085658377,13.124709956785136,8.259965510979825,7.219987582897078,11.520431571425036,11.504707647471433,15.993149723794422,16.665769722030344,16.616581071687946,20.26994032767729,22.85502409556214,20.471810204638196,19.68021863367207,24.67866121878384,25.059732543467007,22.231047691786472,26.309523452775874,27.712045964601028,29.39737750168903,32.5410176095188,35.55180031678624,36.137763278065435,34.94897665548249,31.89038843885786,28.561828619375564,25.942364516657896,22.992621371959878,24.991190900447002,25.393460997673646,30.262294929077086,29.298332372764094,33.542791295578745,36.56800509859626,33.309381844571675,30.907517717841912,29.373216449241305,28.62290196097878,27.18848426624283,31.633239347503782,28.762287940849145,31.07998427596624,34.91493226255907,33.81880858642961,35.02407016861871,33.12387622145571,36.56940784378223,36.537530400961664,32.15110173237772,35.05078195251934,38.06565773768208,38.314005117258006,39.966528016711266,35.383919239186085,40.144055021718536,43.209722244544956,39.906679024697006,39.223726168302576,44.022468958965234,44.52521556403879,40.80211908376873,43.17761707643284,41.77308130950728,43.57931810510732,40.54559516789931,37.010108938974554,35.13354800454184,32.61330886202421,30.674329476118142,29.616034753507723,29.214549718775924,32.39472014265782,33.61372044942784,35.75751628540817,35.242691634074205,41.218429536379894,38.53981395199081,41.72672775399686,39.709156036522465,39.7463492401199,37.476356997472884,35.79161933354147,33.98615156832107,33.26818151886177,29.989570850808924,30.003352638581752,32.40256405977832,34.14977554064009,34.347561415015626,38.43041554877875,36.67628103174918,40.375865455406604,37.50403105814416,35.78980534333768,31.20040005536317,32.726201743171686,28.5456904957908,30.11370428798301,27.612143034133876,29.52430646561771,29.257658526071722,27.791071138365012,28.26029496875129,25.73393796077764,27.063041696498875,22.538143199133653,24.949157390909576,22.87375914589612,19.416286577649316,20.361691201689787,16.03987314575492,15.564566193089467,13.771108199860613,12.714267707150878,15.122724607343407,14.061037011263585,18.094526148595012,17.959596489715352,23.741308065847516,22.841044025877956,20.426191326794463,17.81195010558045,14.00570416426538,11.676554730415635,10.181759783537668,8.892559817645646,10.293369522739797,11.800436310619457,14.335956036829018,18.946142500254407,17.402911677499393,22.034051807392068,22.108575886822948,23.67762260245843,19.01869195700479,15.32351614733992,12.324663142689712,11.36400890339121,10.652629879109508,14.348136240587882,16.627917243073078,21.40394507452898,21.403520843144644,18.81660178505498,22.15803451504995,21.55769747744194,18.323049437231088,18.683363610450765,18.20875916587748,17.244485080683308,19.034358092081415,20.866269013974957,25.185841490375587,26.753675562751386,27.354133685166676,26.467473049731037,23.74160898891037,23.079095357138392,23.25943587932229,21.206841741856106,19.35458329557972,22.622484615358847,19.209739269208686,23.758148914397125,23.09696198032382,19.90864117347538,21.530084750522995,22.994892190702643,20.035806926037086,16.79832989687886,17.210172788149574,16.332495618346282,20.698491059662988,22.711212340782847,24.730311406351834,26.54665970350995,26.2924536362324,31.212129432262333,29.500061115294184,29.9337489514774,27.000588704239615,23.989767076594916,27.314732757064284,29.329619323455155,28.694589306551855,32.45792845307763,32.85067885407004,34.91276080180555,31.678888616545777,30.54406859352865,28.042925409588104,26.910987185542666,27.38507907827859,24.927229282832577,24.856563976287582,24.74550796149,20.20497975519895,22.18285139186087,20.106055703124348,19.45313266636644,22.876013632263508,22.36415620297496,18.203948827209086,19.150241834538082,22.833958541007313,19.699386560508255,15.882009657823975,20.828579673441023,23.87527506372686,18.76744680669952,19.825833852131804,23.641804983420126,22.130855483522108,19.37420883608516,23.143458021109062,21.378728107045582,26.976521685344625,24.91008947169946,24.694572313894472,28.418432394615095,32.01006583883336,36.78230185050226,36.76844902286146,36.27741366126584,34.72606516371111,36.56541704273659,33.59059041062565,36.91638447428926,36.11156330334818,29.89081405505792,31.964527150215126,34.97135530138863,30.959278054507184,28.306353439918468,30.877036890111306,31.168872830306398,27.125448178606185,24.948585477927328,23.135082039440523,25.21650447505126,28.652073474050006,28.90737237833629,31.090259438548852,34.409467364227986,31.64198067137693,27.625099077395287,30.619397410132933,31.502455719085763,26.577489625532838,25.95744242018875,29.182251467223768,27.820047810465795,24.743018662056986,29.364725481255377,30.65172422476665,27.171760410906998,27.901989422372964,31.595878721379364,29.718326891740194,31.626206013011362,29.68622047649304,32.80082615446115,32.23292222425144,26.43794804464966,28.696202538444172,30.562417772777973,27.770054352141962,24.967864064558498,30.59349360941853,30.11359504535333,24.644759252857895,25.671187996688328,30.756776223252277,29.428733682720242,25.424592031435655,21.296455635217107,25.472778342835504,22.186109182505806,24.043170733896773,18.789579602201748,18.103995088089142,15.030739883641342,14.291700276138913,14.022530882424258,16.38299972288985,15.346438082748005,17.24191577725844,12.697483152625367,15.321486175368802,11.388045252610372,13.247331958661036,17.90546410074806,20.930597315551182,21.000978440128456,16.140476696381924,18.068957465291952,21.225456923003794,17.646313355646964,15.48704749778417,20.291566649871946,22.93842279975617,22.939827731951873,24.59768159384623,25.361654681236967],[22.605959117983588,19.872062420283548,17.80545824405907,12.801855660110318,10.869589758748697,12.799874334119734,10.578584173679696,14.437617484767578,13.998951188142492,12.190631097233405,15.650150803752096,18.80129032724606,15.438244943642617,14.136158558257117,19.055263442130293,19.49865590125111,16.15757408494476,20.001986669262696,21.191467595703024,23.137777626470587,26.215439515940087,29.47195014035391,29.976467999823825,28.971325134543594,25.981309688519936,22.367501196763417,19.94732305888658,16.847207572743187,18.974141356391904,19.88409452466154,24.36336689709059,24.13317441423369,28.36117997223876,31.006849730439928,27.833870672791114,25.107214489814442,24.195507671225783,23.04312554962218,21.83880288395268,26.879232180800088,23.680923363576422,25.29421946642228,29.362241607137054,28.49747353842721,29.69332442898288,28.103076718748557,31.726812778382108,31.602151467954297,27.467516050539263,30.90910425875165,33.618515657432724,34.190301462007284,35.4816395113185,30.687751107728545,35.428817724521146,38.25025809020425,34.628187286880284,33.83686829944641,38.67595238403162,39.06506751912551,34.99736207221617,37.14198685987269,35.69365433026356,37.27122831965425,34.356969926789155,30.883424320683414,28.67430856135038,26.211439840126744,24.106470065307732,23.19701521839382,22.73779250564289,26.00422247078199,27.188388469592926,29.202633868320827,28.861006355623434,34.869935098010224,32.34329535700522,35.70700955707029,33.87721328571506,34.09710012507373,32.26782502950932,30.923551535500433,29.650012614113525,29.335216293070562,25.79485609233208,25.267264302385602,27.027813730333257,28.9794087926686,28.528452680933476,32.72607228240412,30.66483891176026,34.241438959844864,31.509883711439837,30.110632393522973,25.609622144650857,27.261503658024782,23.203779283195246,25.187560933187154,23.237499257536708,26.162973063889073,25.138045198477066,24.87415823872982,24.55246320726507,23.273112518220046,24.934636742090266,21.17632682942542,24.589270378819837,23.181410986382172,20.50870614405732,20.4618968871361,16.36492594271621,13.950826627556173,11.360001074170633,8.900489518611572,9.585048781148819,7.883179073126973,11.741892157369902,11.725056589090812,17.280743564169544,16.301213703827415,13.845551536668111,11.375325441252942,7.442983435171596,5.34766663697627,5.658705798585456,5.802597844283334,10.4583328363683,11.440919551679785,14.94168981342881,18.517376223806725,18.600165434433716,23.054318360699984,22.314700475283605,23.001422829711604,18.397545595627406,14.016632008179299,13.263815825666542,9.831111284502269,7.412746422844238,10.029736810858788,12.047808942732646,16.6120739435554,15.781030192600854,13.389259721750665,16.899185777348727,16.056612372882647,12.933008688482758,13.784994011817139,14.458954299783512,13.89050521053396,17.10846774096559,18.74362788117828,23.583403236786328,25.456058413037745,24.903325646531112,23.697335522794912,20.302825535828696,20.334960427599363,19.30198624452527,18.405612797536786,16.053489002889737,18.025615783744215,14.84211282702496,19.427581329672776,19.853666953492187,17.125471709219024,19.870374682211533,21.83166321635071,19.90238648990284,15.954747664969771,16.314252897362998,14.01865711191528,17.942151562490817,19.622759726890262,21.114927094394528,23.19346431819815,22.104622000645538,27.468685397373825,25.647105164608835,26.76534290574784,24.036266563067155,21.83732098211606,25.721852496201265,27.952692707607746,26.430349411909802,29.798083028426802,29.292957099164738,31.824123556059575,27.93580662335372,27.739603721756996,25.780109340771286,25.131904045892444,26.484592082100484,24.639685604189754,25.335354858043818,26.201333103520703,22.104945431539416,24.543413402063706,23.45049042470617,22.11490721063159,26.3546804868525,25.31081858888721,21.235073591676283,23.452725770428046,26.950916250409836,23.59581023360974,20.990210703585625,25.896928572065466,28.20830243719006,23.49584124541468,25.199884593137213,28.78863646747729,26.718871232002897,24.606403373877377,28.77847601662895,27.309251050523315,32.6159654858121,31.096518280915035,30.44894287352001,33.99688493777734,37.48110461490932,42.39077224061384,42.11280885858604,41.03052265975552,39.16959831924211,40.543896684026485,37.04747814479228,40.38659062379191,40.24291857601568,33.929004935294934,35.34849374410942,38.740173002732355,35.161632122692644,32.02102908966694,34.07144968061096,35.169608135183864,31.495000905578884,28.16728417738876,26.98120363727664,27.721404779380915,31.347988916160613,31.97019720888512,33.42878546704918,36.881886879613795,33.41208733044839,29.974533188569914,33.55694724767413,33.72899827079367,28.698836481323326,29.117154056872554,32.17553807102069,30.568924477479275,28.22059518999452,33.139013023077545,34.14667573550406,30.75368136532559,32.24708538926223,35.95381693091296,34.34253478942542,35.91869384334781,33.58614548111526,36.90791272079877,36.95583735233535,31.186751071537536,33.07178465202803,35.510615161877794,33.01639800615436,29.864717094608217,35.473014259619966,35.62790659348375,30.229582290949892,30.68275565973756,35.995349598631506,35.163765107618346,31.242762336208255,27.36753321573767,31.658418665513377,28.5931400836131,30.48005831830376,25.262005862846085,24.2039620985125,20.916593226698893,20.737912550845305,20.375905388924544,22.633897780794417,21.100709245719973,22.5557454483397,17.356720548192115,18.696297724219733,14.049054949797219,16.715564603086563,19.95604995760458,23.404555369078917,22.2225579542771,18.00183325471995,21.232440047195954,23.52997455238677,18.7996329844918,18.46323328239744,23.5675251696158,25.292605413240928,24.6688718045901,25.726212313550054,26.013811003016365],[20.236778168773238,17.98603494253946,16.715285837495642,11.490757966692394,11.023224286066478,10.549251902811532,8.42529737353143,12.269345744632345,10.779802420320983,9.531473431111973,12.820020697592911,16.117185589925956,13.895615702819747,12.01746721597079,17.218276404529195,18.2341026246598,15.740023593660649,19.866500934705616,21.74466978682019,24.046550192528965,27.329343991254927,30.971181447226684,31.5380971157495,30.917982054468023,27.993454167741028,24.034863418677833,21.720456953056605,18.124658689770953,19.427406555852855,19.727343563799778,23.445545403246825,23.237855091306567,27.139273895122155,30.219144286968337,27.502155481301184,25.20508624367708,24.420838575310334,24.1903788955761,23.602130442216847,29.061705192195767,26.174085176564958,27.101791207281618,31.337698586219766,30.94886582734598,32.32034521105486,31.067529286545017,34.76754662288962,34.42867011483955,30.491547410160408,34.16144717801337,36.51566450385768,37.090947714971065,38.04437113660897,33.11535798706986,37.449425920471995,40.4259719118967,36.76803169959391,35.47359202251756,40.3099558920932,41.01022590236957,36.606959337850334,38.20268179906386,36.33487868822958,38.01681929459928,35.52743402109592,31.865353362117993,29.187944137912694,26.28298950169542,24.03885587492102,22.333151711106257,21.936007166397967,24.951881656824064,26.19349412109166,28.856673614945407,28.35823193005298,34.56721794925177,32.54901870780946,35.639020533971426,34.2365683650092,34.99291722894258,33.12843407108012,32.387833813644036,30.81538852460807,31.09836389651396,27.82556680503926,26.632367098836628,28.249877645395962,29.541542251772746,29.009642905579735,32.544478592496205,30.23744215593763,33.499722776138086,30.390043852823577,28.69500262741413,24.0126484793915,25.149387253802992,20.88746283322907,23.274545856112194,21.15623258905436,23.890597731205744,23.841170003040524,23.796185801137185,24.271049165616454,23.213569942751747,25.9066022389502,22.012413452929042,25.573758816587542,24.71247778218999,21.6962114306763,21.029564836950154,16.63047009518691,14.686244607693526,10.938446636023942,9.916933209590127,9.526734217674214,9.278486026137774,12.83904306397115,13.81172752360695,18.494901156998615,16.594544173053556,13.90667196354766,10.808802481759436,8.13517408604173,5.549240579799935,4.2852848839204265,7.760172040614493,10.537832006205557,13.00290969533281,16.615163531479272,20.370579510790353,21.0583084492867,25.396346386066043,25.211484916753722,25.33050272263203,21.356396814478906,16.843752559456412,16.515239230656523,13.529800123444435,11.505842243376604,13.564934427056627,15.71927918547257,19.997684599768263,18.46052868920972,16.120857254418752,19.343477183592977,17.605668751981778,14.573049664009694,14.34388548143202,14.824367842796251,12.969452432007419,16.11639510622733,16.6035228323403,21.696215084426374,22.67195244766737,22.22523503020989,21.72034583768713,18.62712682016216,19.34318198903588,18.71216052940274,18.744042860114735,17.63765762090867,19.463479105300426,17.463125903577,21.859928364519543,23.093829848058,21.004273884329326,23.665942155764117,25.93706159326877,23.946760772720218,20.061937873094696,20.08254698726778,17.58254874584799,20.910669240344838,21.97792284472958,22.86417545744226,24.323579560567993,22.66540964071269,28.19451449016173,27.10187806478886,28.31562172882232,26.37936055075348,23.653444170040174,28.123119079260036,30.677922544445316,29.27413196067267,32.701389748791286,31.985860136255457,34.94001705735134,31.120756569978834,31.198518189833386,29.370336258458916,28.47960645847,29.997140936389883,28.088076951574966,28.640558389156688,29.39929442495501,25.091263481556464,27.063462784319313,25.57429899635146,23.691750776422573,27.625600931472437,25.965764127753364,21.97624489076754,24.401852986132806,27.41290762698583,23.508803687108664,21.361703946496213,26.12689253861266,27.749209539745472,22.743643022812485,24.693592927427616,28.02190910574522,25.35058752161894,23.389386083333576,27.858234633758652,26.921617631455256,32.020426010272956,31.489662975437998,30.772794793164785,34.05267974593155,37.980410137330246,42.668489989627446,42.69901860933583,41.51725140370852,39.96293927091627,41.437088023793,37.97754041819963,41.69468294921958,41.57724257194874,35.27898622965375,36.91980829867705,40.62415606690543,37.058829326502185,34.01043070674944,36.38924876767503,37.60896313277593,33.784534335748155,30.817124860332594,28.970047837540502,29.564660535993973,32.998095738316096,33.02418348247575,34.260379853478426,37.2736283310786,33.72405145155649,30.546112265050503,33.630576936524236,33.40562310630048,28.405864771837944,28.869973371202608,31.377478106499055,29.40668350784297,27.257098849673476,32.309981252099924,32.83947819309737,29.13821148685797,31.14030925133951,34.97917081270456,33.780856322085704,35.633035331981546,33.59079337136245,37.245659412861684,37.06434930294056,31.379005352389427,33.76833817699201,36.262771635805635,33.64647563396809,30.971210319859683,36.80447210843793,36.833922443540054,31.500508050783345,32.45353598590843,37.75951688880167,36.77953976966918,32.892881206349585,28.764534550577217,33.24141462070289,29.93546849836219,31.246237613357124,25.867558688771993,24.679534551712745,20.745352884896036,21.073519734072917,21.35130430804071,24.15325779222679,22.96446015725933,24.043942454400817,18.734906967236636,20.335245253692836,15.33818996023363,16.76682122331332,19.7863092522333,22.884144225864517,21.087682449848373,17.059407865898713,20.092474180249102,21.768288993519725,16.67436274514407,16.46738991523733,21.560371434468887,22.76338289802024,21.86762799234479,22.69787844387267,23.111409709745807],[23.027085312052954,21.227005396825106,20.676627538739652,15.151599950633896,15.576171629279067,14.416451382902366,12.264126305766082,15.456253704094323,12.644058586693454,10.470424248765998,12.746443223671651,16.750473953433506,14.640082212105101,11.279022041340912,16.409139181286772,18.13001921750965,15.488212200901073,19.02356215134332,20.30201635731583,23.39166465544659,26.244563605641805,30.273920231892536,30.409326839521462,29.778128455429215,27.330696302702275,23.083955057571746,21.53458507911774,18.061108896968094,19.466159653987283,20.31984143499303,22.83212280745756,23.74995839160615,27.29626475295036,30.074286753789487,27.77515620308468,25.25103235923722,25.350249753455003,24.7591019798793,24.4365659350159,30.256924709357182,26.92084766964195,27.055862100346022,31.45202283271975,31.102771505349857,32.07982913384272,30.95050662845451,34.677405137166474,34.65049229292833,31.0964013916435,35.0849809434897,37.383196701292064,38.33910998126638,39.08613528329822,34.13363054777087,38.50629689085261,41.0722053388602,37.06943065900002,35.874843816916446,40.67102347474363,41.038907504187804,36.3163552737017,37.62768753936926,35.747076297931976,36.86730508065099,34.61271370236285,31.25599202961497,27.782568479767015,25.063909589927867,22.078778938878973,20.307401309888053,19.357597832920323,21.922819544055628,23.80721401645298,26.641194907369783,26.82933712589413,33.16087026229772,31.73895824309708,35.028773325096374,34.07699002794082,35.1424646106463,33.8836346603464,33.52538572634375,32.508400816998794,33.08366896501663,29.642985189254375,28.07942521158336,28.93722997546402,30.39472493050992,29.01033092364283,32.447525147292914,29.575861275730414,32.340502616353945,29.2610339482813,27.91745835883045,23.318398676705673,24.017369144606413,19.805215308978063,23.302209464775054,21.774774458049407,25.18556488090208,25.184954170431343,26.16661875186796,26.393919013439216,26.229267802925825,29.179748258860588,25.720430839978967,29.574037254291476,28.91756353449362,26.124422925117994,25.220604672093526,20.949941209941603,18.565125581740034,14.58962991512257,13.198708618159888,11.08271279874945,10.378507508903546,12.82402220273739,13.329903120805245,16.98221602162634,15.320954426234502,12.075366607157225,9.459775781766764,7.185071821921897,6.655551495036803,7.599191307716702,11.648690967801505,15.025882135331669,17.29669104638252,20.992914744813962,24.415041514925978,25.33164732583374,29.639363458017645,29.103808112189643,29.126915991294528,25.056812225652997,20.50453594423749,20.459965513483198,16.84453810867929,14.005133212262995,15.536325939536137,16.309308613308847,20.265390939920877,18.543945980186127,16.967359499470614,20.314004685788994,18.649576110651886,16.032453509629747,16.236856203459674,17.57058098102222,15.746171714453869,19.420281979882212,19.19320437924807,24.450454459636717,24.857778377951256,23.89551288327765,23.758587560192343,20.53930825887912,22.042346074549844,20.771500416134053,21.831412110956013,20.58622622967683,21.361999761698314,19.499023331053728,23.705077640640177,25.36197699271311,23.114205462879507,26.409796536028853,28.44624228885324,26.938936309809677,22.86890685244848,23.26078900100721,20.4713265229299,23.72863529029115,24.752854626298877,25.35597578914763,26.949823982252276,24.68264343577053,30.393907600170536,29.29163513326012,30.946326190299825,29.08290976673305,26.96256720800426,31.494823748713678,34.00956395821034,32.14879541135796,35.24914622104662,34.00681341982208,37.01259090036987,32.687368347001055,33.31825208143665,31.78903303180707,31.357756978654816,33.138530403735025,31.523735794100872,32.36867953657697,33.36746608851535,29.234131073228873,31.43436724793435,30.09472914826577,28.28527794392426,32.27170509359539,30.58012242308279,26.612891364218147,29.016174681443648,32.00570358942159,28.016618153248405,25.791384249537575,30.5457728606744,32.09152861611717,26.895029297846843,28.751281572763926,32.02744019378307,29.149112729853407,26.993561667617282,31.47075251085256,30.715706297196533,35.891184562219244,35.44151182821168,34.98433761311006,38.26496612082293,42.342413231258085,46.92329456320542,47.114619180554655,46.04497681246285,44.56632134163923,46.073415068753015,42.614086235203466,46.33609986178325,46.214341292316554,39.91530861140007,41.54490237841982,45.21200082384578,41.615194679983034,38.571345017863166,40.867086568336525,42.016373287271406,38.195961892372715,35.17100430403341,33.517312249044075,34.104252121083356,37.57517378379688,37.65112000195103,38.79897777360144,41.76514053462222,38.109403729867815,35.07588970943744,38.12491506491085,37.72219673813098,32.7551630981584,33.32010788613856,35.618018672229134,33.48920591439428,31.45897346433462,36.532069621294184,36.82683459477724,32.94817330985604,35.15942527770599,39.05860312236807,38.02249584408056,40.022731879662,38.09468527188999,41.809494628889375,41.51804679037309,35.85277090539168,38.367962851945336,40.792008620465694,38.09475010768834,35.518145418258584,41.352037607858016,41.21814644835952,35.846459729158724,36.894847656152315,42.14426679312887,40.98402901679198,37.03301437314952,32.80479319434305,37.04867708430571,33.496492972513536,34.95383317757659,29.5143085890866,28.72190036419164,24.681671494271434,24.63613493120421,25.209365549012986,27.95307048175512,27.03889288015128,28.435771702184244,23.25589994871607,24.936349795495573,19.96357622203298,21.344043870362384,24.251983833285884,27.2618121910056,25.11870387267159,21.344280565858668,24.287098458447787,25.603412288375377,20.322607418299658,20.210199290549884,25.180891099579217,25.98468949773025,24.82659760389672,25.313719741505672,25.73115749300656],[24.16611401974395,22.475733929256325,21.553660507991932,16.817781989683112,16.225003165285727,13.868802495802944,10.711258158398186,12.628782034614439,9.326460752130538,6.0300104197896625,8.046320269292018,12.139219360088273,9.898653610156138,6.468655182158582,11.68146636975776,13.379055011883024,11.299096105323184,15.1432911975779,17.42165219994173,20.190833687068807,23.467479415808434,27.53473469067151,28.08686088737949,28.004887574727928,25.29142570743642,20.98938866658801,19.091627725527523,15.191555051134573,15.681108600056922,15.967049030309818,18.297657983694965,19.007210269097722,22.47188054213064,25.410446359782153,23.236855971941516,21.03710026265174,21.08328236735167,21.228459455391867,21.43399186877459,27.44649364143861,24.682310141061574,24.353775039516414,28.751119760270175,28.97775648842969,30.45097739098242,29.81044359197886,33.5648599644099,32.95137180261563,29.55341376568494,33.66673224546254,35.408450230465476,36.22888050108912,36.59807240699795,31.558024664703282,35.41930255807273,38.2234687677324,34.36667045758152,32.618261673307565,37.36570727531587,38.19309922864437,33.33358397603949,34.246093477072186,32.03432948241106,33.5738993574623,31.5890989649006,27.90858659793423,24.602004275014668,21.418169187490644,18.974911859190605,16.678318237477097,16.347643175372554,19.22898295956887,20.377162659169652,23.450433305941896,22.954898844342424,29.275275646697704,27.853235591212716,30.837425303200703,29.98624129385429,31.327468104247274,29.909792705960392,29.976582747628004,28.744147778257638,29.807223460493756,26.657281085183325,24.536984597370772,25.338906851140383,26.253649247493428,25.011740994268937,28.026159592455507,25.24276303620737,28.07302990924168,24.83519296530913,23.261673237183572,18.598969642825452,19.419775324117587,15.180496821499066,18.430638065254534,16.95407257089051,20.62864610273215,20.466601211318885,21.907086009345857,22.108687880803213,22.52035197321173,25.978840883232625,22.9478943695794,27.12748282074142,27.099109908888586,24.67544948362156,23.063866157452747,19.158332710553523,16.284168403721623,12.008247029132828,11.040560004293729,7.690468688278313,8.442449194132962,10.298432293299772,12.354158869381486,15.218567803225893,12.3265468823048,9.6569349499698,6.307520948489602,6.569933204250202,5.40479199009507,6.0814028016959165,11.014001921351394,14.023407302847792,16.230850178957066,19.953060478099633,22.715487173260716,24.69771870019901,28.62243289525102,28.168784578561414,27.37248975106685,24.044693332165718,19.462683424708064,20.6895147265616,16.94006844018853,14.567087331211255,15.04409533108263,16.776578087621573,20.064143148912848,17.36845200361793,15.555668205179595,18.229207984892334,15.67757053794899,13.33074770725853,12.687139725827729,14.181536962534052,12.096593969473025,16.118450312175977,15.525458051416926,20.777126326038793,21.41655686370446,19.81631587895398,19.49270994803889,16.131926558270443,18.08166556536842,16.499738897558867,18.434607370948108,17.86981482832939,18.13791841994539,17.529036614118727,21.307077657538887,23.905102072894852,22.773882435553833,25.945772006585752,28.612635283584343,27.357402114552094,23.327383567081554,23.122010105802595,19.838233122116844,22.11414466155407,22.419671595230984,22.362594972988287,23.51371294553945,20.759239533009502,26.490562499562476,25.87607229139704,27.702723303153615,26.5801297128398,24.382389105942597,29.354094321550978,32.13857552604025,30.190993945299592,33.186845222272765,31.63262583873391,35.130263526953755,31.009108955806216,31.999796800564745,30.754896496089025,30.10711065912789,32.28381745206778,30.854085204468543,31.82767804017867,33.1526555848622,29.178333379010688,31.162288467581313,30.1629959119676,27.728719794863803,31.909928853314877,29.72585382398852,26.016283598002577,29.181650205129724,31.81477444636896,27.728114045359327,26.536941116775886,31.09366166816914,31.96020596258528,27.324955593269603,29.6829314704875,32.68175907494438,29.539908555983224,28.1565677978989,32.8245247258199,32.25122226281059,36.98330420911494,37.14144655184098,36.11866698578356,39.14418389373862,43.10510341776743,47.765228633438745,47.72159537996677,46.085645258724696,44.45481604934109,45.618553570570214,41.857544746834385,45.68746537963475,46.0547855767966,39.78761120607554,41.04558688393277,45.09780223815489,41.87851115713448,38.588498626057316,40.72301496790786,42.519110873784456,38.91590223817463,35.41192189352238,33.727663162953846,33.38709884274864,36.76890989594066,36.79025693056509,37.381286845483494,40.21462162990095,36.20069960836427,33.67763977009117,36.873538370583645,35.95001469582387,31.08089032576734,32.301202012760925,34.36865712563353,32.13971862566632,30.705202281556176,35.83828087382736,35.95489636206716,32.3404593854701,35.02272552551228,38.81176483731593,37.988824694548406,39.663320732684824,37.50085637705177,41.35653533687029,41.52700944166476,35.999284567263,38.27385793942102,41.139880141330536,38.716693107831986,36.02255173641545,41.853100372286704,42.26368122290109,37.04224415630986,37.80263391447738,43.21211818174833,42.51675424869355,38.71260894387424,34.676935044478974,39.288933952003056,36.065596651833715,37.195424814622314,31.830857222048742,30.37848523322374,26.255482175760104,27.017816177716526,27.362019347842825,30.23585756941411,28.8664680343781,29.58172262259929,24.030401835083698,24.971292753229843,19.834902201808692,21.20156016822448,22.997980983559145,26.01956599285633,23.16504392652554,20.11111999657881,23.680313243704887,24.365858310502244,18.743321502766364,20.00419445912961,24.820145974882593,25.021795435135942,23.587554947892347,23.71564392232793,23.714479286967475],[21.684240285158754,20.545845656972617,20.20513054519547,16.136600581826954,16.360040932153773,12.069882733124775,9.48708824074451,10.481845460661079,6.03913064216378,4.905595065013836,6.085976720235897,9.592442902695872,9.886097078840614,7.150429151340239,11.720894567418576,13.733749005660428,13.386195120489369,17.39761533648997,20.62156541549233,23.125671118752766,26.67104848057747,30.745202883125028,31.578225889064882,31.87593896047901,29.06892020724555,24.79992833742532,22.69981517228504,18.58510737455566,18.079532050344433,17.228671780754294,19.00349629396032,19.00090088362836,21.98671518713145,25.597150991930196,23.89971874538659,22.53256134227017,22.206457637680284,23.639003384251737,24.30903497073105,30.25761974017434,28.133366474705852,27.63691635880798,31.941056385764554,32.587801733485065,34.391964743906655,33.98075686709498,37.710759866544535,36.762278724594466,33.39811035382026,37.444042544006805,38.88044064010388,39.47609163857281,39.636632184667945,34.59122390775867,37.92877547534033,41.076229588145054,37.461382000672096,35.17830620850805,39.832452142549556,41.164574641635966,36.246773870386754,36.69632429311397,34.07303880575458,36.0123279977847,34.43244591652113,30.496669692143577,27.257997928731612,23.614774780437543,21.599223325056837,18.481939007578724,18.595980670810256,21.13962396297448,21.911961910110413,25.5742438713899,24.49690680424382,30.720436125643943,29.645032289603577,32.05772918964001,31.501123037304453,33.253257481704274,31.48393034711076,32.00127607394717,30.153363013586837,31.653213571215804,28.980297135507595,26.48257162593754,27.542928646726825,27.556548342850608,26.784442854417566,28.893451948025966,26.243806619780557,28.832374197492552,25.17844543482656,23.023471693916164,18.283611495145244,18.491377328900853,14.125769854418387,17.161332553000907,15.148823799684042,17.98100724736248,19.293366078392797,20.447061984555962,21.83063233695629,22.042689690801392,26.387523054993576,23.139366155967107,27.13799533978961,27.57105941146786,24.823698265947478,22.762589662509832,18.81127837008296,16.83812814903682,12.13510401389485,12.913825862947851,10.206169757504725,12.278821625626183,14.151272706517728,16.85545057616931,19.31003727082355,15.731970356099477,13.565529796952303,10.181829120737829,11.290912173839478,9.421890862301558,8.048933072690886,13.252121465796984,14.1983797587892,17.362192135673965,20.837422422334445,23.757094695542257,26.058236883354212,29.785089182152316,30.010881549737718,28.80221331156387,26.148541649145994,21.650262899698728,22.91352631197312,19.899772177739766,18.19254672808648,18.83229810877995,21.258313898927174,24.532285324457835,21.62978755313245,19.54919264566716,21.801785382321793,18.638834743232508,16.375214654728993,14.512624088374501,15.114856635286861,11.77027258322095,14.909996814096136,12.963451875206339,18.12365495484923,17.681005031753653,16.421567570624504,17.025129101142646,14.419184346199424,16.865677555288272,16.28246460968771,18.692409767620088,19.55714414590462,20.273030018297682,20.649580348146273,24.199943171891952,27.09320179423927,26.477629234655147,29.182753672858226,32.14503587015444,30.5550014688785,26.69976529618353,26.102654159334815,22.95359095485519,24.820483045882114,24.641560292743826,24.19162150006361,24.564952122288556,21.67460121538634,27.191050155423802,27.420057320883984,29.022166216321413,28.68135676278838,25.712499897246225,31.03856794657723,34.08041045560276,32.54603402354297,35.73448489438767,34.32854490087306,38.112556349077714,34.41711252292376,35.291781790413104,33.988540448639796,32.882878340731466,34.99876135586786,33.360564529158545,34.03237280247382,35.10673001906391,30.919754295632394,32.354957903577414,30.96308742956704,28.066793859160672,31.814145398813803,29.094017145510115,25.637568150951488,28.92585602419955,30.98028744943794,26.548985652463177,26.003923174542635,30.204783347368586,30.3054697985576,25.73931624311832,28.329546756329183,30.919203957613785,27.323076309621246,26.37313880154315,31.151456558871523,31.08478814125824,35.35907077642304,36.51772287208616,35.29540262360107,37.95167119604813,42.1923311135679,46.59842972227119,46.78036734141727,44.97965476710016,43.64401373678508,44.85578760351495,41.17910417673167,45.333964423461694,45.74461327033792,39.596614237275894,41.039647000257546,45.36873575464511,42.23198741335136,39.07162309264285,41.52056457533851,43.45179859760752,39.758982790527455,36.65192413309325,34.31496387426271,33.82822017529271,36.931958530583685,36.34021604064761,36.705828616419836,39.0315840489343,35.04998552824197,32.83248268215501,35.446294940803845,34.15355954704229,29.462042865818685,30.710086226751613,32.177060379417,29.6663978503839,28.539641871272618,33.64108670268175,33.29978015142577,29.562495311961396,32.70354210534907,36.48756887976393,36.08539478062691,37.91126345293134,36.03588136881754,40.13295468643805,40.14905889788546,34.84706604271761,37.491398799079896,40.41248623112979,37.97820186793334,35.755205180907375,41.67932448577799,42.06590326838165,37.03627588523843,38.18297705451997,43.52977928273015,42.81000366406382,39.13770919426506,35.0159224432168,39.8192336869073,36.57357632361632,37.06944996762985,31.750699952997323,30.012913872820597,25.53671244512554,26.945411782931263,27.67602998543836,30.928867597020997,29.741698204906495,29.949533404503974,24.456218834891498,25.49325322984598,20.34824686561792,20.56938902654284,21.910327846724403,24.416864631961577,21.082195367127,18.521781710584985,21.730598971004504,21.675564473734266,16.04483760126165,17.67540817979047,22.076079744836345,21.635959108949685,19.95614677877976,19.793330341746312,19.862904172226884],[24.86919923159375,24.00129329481044,23.811076146360005,19.904632772605204,20.033956267969,15.532505921025935,12.795548954592514,12.804242773702333,8.057908329599508,6.101784633178096,4.7255733377309745,8.439422859576789,9.411880430587594,5.878194996156557,9.337485390160507,12.022209226122625,12.448095230641092,15.852798634985266,19.252638325044703,21.963518693358548,25.359284034765274,29.606797212953914,30.396278550335353,31.030096182869173,28.45308313487938,24.120196076320003,22.393179997946138,18.33953912697493,17.261970235346144,16.345247681335024,16.754690545336285,17.46260246844096,19.884685031628067,23.37462264045484,22.227452712651626,21.067912017181385,21.349318140276825,23.05453102756307,24.21457303954207,30.30359478745909,28.297961440057147,27.053636611714385,31.33741890411535,32.341550310498214,34.1467902808566,34.0916041724003,37.77983758025749,36.710937779138376,33.731598735144466,37.95116900725466,39.031929260612635,39.772236152242904,39.59221832942952,34.57041436300551,37.56208758273302,40.548262172011555,36.8614484323256,34.33044785534502,38.845049240351926,40.237450728185394,35.09774291249379,35.05860678799896,32.220218384208245,34.0237592449178,32.85222410756536,28.99259433812621,25.367896850708213,21.60491922385125,19.52841536683893,15.93310314194603,16.139155355685837,18.33858904549744,19.00448026963144,23.004993230689582,21.930736806795203,28.10505124560727,27.567427680288585,29.811618728290828,29.713913477563587,31.877558203650473,30.448275249459243,31.507341941404047,29.910732690478795,31.86460479237032,29.32978821432599,26.341005492207223,26.843019473452014,26.559180265590204,25.320385408082515,26.907846153195614,23.938452622073523,26.07369120893349,22.313692896514457,20.22441759205651,15.600205150969161,15.305756512880539,10.999546405596039,14.891400646910666,13.499723248847005,16.92223931816067,18.301093448934527,20.51123765386098,21.723578994897895,22.878881155930795,27.532863369062685,24.8626444415963,29.07419054249161,29.897425061960647,27.50033232675972,25.07102450409112,21.490413070596787,19.140761873482653,14.570691403105952,15.199297497538039,11.545218142459735,13.766565492179781,14.582788647769142,17.556421567909105,18.782498826491913,14.824946477487462,12.9868126121227,10.11489805608103,12.587336242391187,11.558244446116293,11.060474777899325,16.164485075363146,17.409845370714518,20.25686779915616,23.70266379029809,26.11606426538848,28.911230618098116,32.42710384161706,32.480904707531884,30.89132120915634,28.534815095029224,24.089521757873477,25.915676615385134,22.58159401105685,20.69426488711551,20.74810288631379,22.82840675417128,25.55917678095232,22.22591791417656,20.535985860788074,22.414528376264208,18.98700124483343,17.266901903668504,15.323680849421923,16.416862428006805,13.259510261145566,16.565617961982475,14.041978918677096,18.900870555697665,18.125188049800094,16.065655740403578,16.915072548549155,14.376037963011159,17.583689864364807,16.458609723322134,19.929972407828537,21.023969424136574,20.860631113226965,21.931495010368344,25.032998274863836,28.51943018080649,28.314388976223857,31.24542314626455,34.31525053268366,33.086389897408395,29.185529365024497,28.553121638260038,25.127388923946523,26.521603488206452,26.000668511845145,25.073787873879873,25.259518174900073,21.807836312199374,27.24485308274052,27.779507200713258,29.699644285046556,29.80915461179214,27.218849897827393,32.67178363091013,35.770474719733436,33.95890374941375,36.86540449905009,35.018417311040075,39.029423325067626,35.2057514267513,36.55412770944262,35.56505120602142,34.62504721876262,37.03508483727284,35.65344140945633,36.53526496799074,37.87493103456301,33.87711935594456,35.353116934038646,34.20673097451001,31.141754441804974,34.98248612348445,32.090101625416835,28.795215338081686,32.33844400018263,34.24362772307728,29.807713760690152,29.61028016385776,33.70905094375992,33.5142773872281,29.164164328349234,31.865428550297025,34.299171861477156,30.55526043330282,29.83477914442683,34.62684331742134,34.70222029875736,38.80980632040597,40.219107630963244,38.902624190550775,41.44806861247071,45.679188399086705,50.051691618822474,50.20390871844456,48.212457486415026,46.84504046388676,47.903448345184636,44.10556534517014,48.278122415358105,48.9149237487021,42.80911756481929,44.06068411781518,48.516861939289655,45.54482744430849,42.28492236114821,44.59373082154164,46.7663627716467,43.183984052909075,39.83306686166783,37.62383994594631,36.74220163589487,39.80951327998948,39.246050778556565,39.30241030244156,41.521481006982825,37.348527161446256,35.486988015938635,38.132800716183404,36.504065885562575,31.960557506972915,33.5576696301786,34.78656462675477,32.1880225284893,31.435634435791815,36.4903166970345,35.94106953222528,32.30453361437487,35.72423155043686,39.437704791961956,39.22129006867776,40.950206681050965,39.03747059595672,43.187786518438834,43.36630633038281,38.174309710765165,40.73820481314873,43.80149665607885,41.46243125466342,39.228060526434334,45.11805889160273,45.661804919603426,40.68419418843418,41.73141892376299,47.10937656923353,46.5026451721793,42.85916498770485,38.77804565440612,43.60396692360804,40.375559565748944,40.8471189973051,35.53862227057678,33.7535296532104,29.254828236788242,30.73381945741874,31.474274540949946,34.716029438861966,33.46552431016053,33.597573208683066,28.04352568608531,28.82407634818319,23.694230023276884,23.994334072638342,24.829571435357217,27.251758651292537,23.518097243565943,21.50865838371297,24.849207386252793,24.342886111941393,18.723962280074957,20.916429450486206,25.029126162020408,24.10165758042849,22.20208087216504,21.624245262564187,21.463757053796577],[27.299944963714992,26.46757939569051,26.567163092444858,22.008005100859805,22.571113767522327,18.732332510465653,16.12708762105082,16.837990509890144,12.193751820437472,9.65246467637706,8.47503947313184,12.37538991117201,12.415989776303899,7.795579903290217,10.915739288420374,14.023654842081253,13.611012076572157,16.198677145013924,18.530730881667072,22.004509920048502,24.820196574674494,29.33105423617436,29.60315397545902,30.038930741448883,27.952717097350543,23.467012082635865,22.49045665150849,18.77367899948877,18.27206930663813,18.307481617621843,17.861555470821287,19.84184294851165,22.04845633355327,24.924677194207558,23.99450070937903,22.34004017902862,23.439159314507005,24.26201847943052,25.329024589874265,31.56340130540397,28.95974300839549,27.30652256111561,31.68392343855499,32.47361017366727,33.785638563604174,33.67078079970526,37.34489393002214,36.712025872552324,33.984677982216986,38.37500217219128,39.621669609904856,40.7114028372204,40.54082200112962,35.554291154271894,38.82383236124922,41.340543278428854,37.32459079178953,35.160482518914776,39.6451263998346,40.53209305417408,35.22262310124453,35.15410281120331,32.50909490552672,33.61325367656875,32.50405205810985,29.076910108606754,24.733548147750785,21.401815935033248,18.417166943811978,15.042748812302408,14.402754485356954,16.034509110874414,17.66615212739304,21.687484793850814,21.60991850540939,27.867855483391914,27.811340932049525,30.42990036926414,30.62482406321011,32.840278012437196,32.04043758561691,33.128761599438505,32.17650363819264,34.0406095357499,31.193898738316793,28.256548005382076,28.153629057905313,28.4024258148337,26.3366398042624,28.174576531152237,24.686566781482178,26.357844546157658,22.82902130708693,21.36374342797614,17.01880064949957,16.394566443522503,12.420328396065214,17.417138283674305,16.798281056431488,20.742481915077022,21.670334119126558,24.429523045899945,25.079453170370307,26.60840814844181,30.917834666889938,28.393189423053713,32.70594726788355,33.27698377926381,30.927833958145904,28.762277475465453,25.06461457504716,22.399436987174262,17.915411696403627,17.685644235675856,13.565983675891239,14.754811699533553,15.02922062502541,17.177249904618662,17.715110447388017,14.408605370899554,12.036529742271226,9.978137399841216,12.280880683902026,12.443148115591233,13.120289228477773,18.201919723412473,20.45179546453376,23.052095497580193,26.675740644528176,29.170194402327787,31.64411287759392,35.3716105183663,35.03244408311179,33.7667382182393,30.90918729931371,26.382899716116427,27.933837671023507,24.137891710686993,21.61385568480539,21.675377950495,22.66673533201635,25.274405991699222,22.12462058076344,21.05437831768313,23.233704573544912,20.30120576994485,18.76323885760579,17.71782503297148,19.46440226388344,16.86958457668889,20.56338334948298,18.360532873065758,23.23962871127616,22.395370070525196,20.244889936316078,21.068452182986473,18.343588858977412,21.552101563394938,19.867638089277726,23.359307926396305,23.678882420829748,22.9785959156879,23.45934196839351,26.617229603051285,29.98708515436845,29.264052304338193,32.68140027495209,35.38423574831548,34.42208587477744,30.35865530829984,30.170013383180187,26.695557769908355,28.463005706374744,28.27906605151064,27.521841251217683,28.16589486721972,24.587587928295005,30.131478769686414,30.245153845548923,32.43904792381349,32.13055156135295,30.129505254767853,35.378090638292164,38.303598561547815,36.13496616862111,38.82621780704275,36.704267457711914,40.5242079979695,36.22492023001148,37.852155896469434,36.98055881012773,36.486984748802264,38.9513040226137,37.72479947146379,38.80904321987199,40.251546275175045,36.314267928296424,38.137055799895656,37.04787414727027,34.319533248449076,38.2883678063275,35.67422659116219,32.18174570502485,35.4612343921425,37.66432224107172,33.26881030737649,32.48639933990745,36.800202287302845,37.0112891733604,32.30651712357314,34.75618091411197,37.38835455997485,33.72246559140452,32.51876462086905,37.259288817735005,37.241081150325456,41.67830956566023,42.6919663000926,41.72994221702702,44.47411347549212,48.77753892936181,53.154899581553686,53.41373045913606,51.69854071350465,50.33586209352765,51.51689142380379,47.77423175930284,51.847455101330496,52.31766945429186,46.12975825703763,47.4536254065318,51.71943095641203,48.570719584937386,45.33142156889917,47.579588576690455,49.49229122566827,45.841741298721956,42.47578695597058,40.528810908294275,39.98045428676632,43.20019435043047,42.84986984559161,43.11294810492356,45.5066990672962,41.37334336011799,39.31189710829184,42.06993379823341,40.627016682488815,35.99577796338571,37.40830321931414,38.78784158544251,36.21187429240739,35.21199029511332,40.29257157147635,39.801703648869626,35.99629111986645,39.25100727554673,43.0537116906901,42.73962899472155,44.628242616102696,42.76769231506055,46.860491647515666,46.86822426459575,41.5440769493278,44.17418043976155,47.06200499247329,44.57680051475726,42.28620669788004,48.20129363062615,48.49615645647494,43.362317650611786,44.45640377561314,49.81334425407812,48.97057352442787,45.1895030870865,40.986932433956426,45.5730941210348,42.105608868113606,42.908113093960836,37.49499283867122,36.16018360366396,31.675863974118837,32.58345387789378,33.43950814237697,36.556282094997165,35.50975501296673,36.137043441862424,30.65688771955664,31.712184536400247,26.543347346320484,27.174063545616935,28.538117981639587,31.099990442198386,27.597646537714724,25.233315993397703,28.444618868728988,28.228187325349435,22.62551195074845,24.212440992253363,28.48807366507683,27.76609219905936,25.9091821705446,25.378647257361077,25.38904595396153],[22.27977955489533,21.93458880154728,22.733021235014196,18.634291944196168,20.302194289459123,15.38260968227778,13.890172535617985,14.683459267863734,9.937875114549726,9.905628097312952,9.396620870196454,12.36009576171436,14.191381534072267,10.80288719918592,14.313127346759256,17.07138961836422,17.35583228910224,20.726335827537998,23.68345366658432,26.716708707955867,29.920816173466424,34.27069738893008,34.81450334532452,35.20894950402527,32.80504307356604,28.382814644143277,26.842871166643732,22.85025701792917,22.17183891285475,21.36198909490863,21.701161489088463,22.37553437425822,24.587487667327522,28.20874928274044,27.23905105560692,26.135928235224654,26.352187482105396,27.978000117672202,28.934247401523564,35.01860200558213,32.77052931707929,31.734638011664973,36.08101381019223,36.84650521690386,38.41410201989624,38.09834596747974,41.817969781732266,41.060614698740764,37.9509399562686,42.14165885915414,43.524163232879516,44.30093761501261,44.30061399607729,39.26983498315035,42.46215775030806,45.424985609213856,41.66410290559628,39.29340407120751,43.84156891173103,45.09596640103841,39.94186840746371,39.94943308784845,37.14847960265803,38.72955720329937,37.579052153378726,33.8590655342163,29.96336921205879,26.35791083058787,23.85493923846393,20.29805833599324,20.03113355780255,21.687625247621,23.000026046647484,27.160626497668254,26.527170692617677,32.69320473966833,32.45061644289127,34.6957397931166,34.73619288999466,36.930282403756415,35.50556466376694,36.47211486960414,34.76362490590743,36.56666374816986,33.96694707810631,31.190344792754107,31.82942071446529,31.597038556441447,30.373976009373223,31.87974750499683,28.821429062275083,30.66999276746838,26.852269638350442,24.750631994880724,20.2645440909814,19.429586671505675,15.321299884423015,19.335134965953884,17.712176478117254,20.246202359906782,22.650398522966075,24.259406161043508,26.126666385210104,26.658983341922863,31.393373204401456,28.18533519397294,32.074055056592975,32.635926745229916,29.688786677957264,27.573103911802583,23.571986448796547,22.05301203613841,17.32290459424878,18.30137679440072,15.410496603835693,17.171620492093144,18.605987274142503,20.950023821750104,22.630209959325228,19.17876152885627,16.79705634558098,13.962302043999122,15.246792658685813,14.124373576088761,13.140788413446623,18.360663532786177,18.978247487916338,22.491100457007523,25.895694224494658,29.002539577820436,31.157925512765217,34.93262347701351,35.30860037914441,34.134399104412964,31.484321015813297,26.97543077013764,27.903699191586952,24.943668939033472,22.970535716922413,23.793569869883886,25.582970680266516,28.842244702099144,25.975231167488566,24.284953685818564,26.611589317625313,23.477663702505186,21.431904896754414,19.656795287623265,20.351997885582172,16.803508785784256,19.48458936092734,16.59721985989732,21.32651739132029,19.419398845051575,18.38873613122102,20.101668980200706,18.191844447737527,21.173125873000835,20.81404759358888,23.732789359481583,24.904571619653197,25.35351330767039,25.84923282372044,29.32622128945661,32.32938274688171,31.51219893595339,34.39834083930411,37.19034282894451,35.58479667792679,31.66909115105033,31.274516504698926,28.179705133482404,30.177849353686018,29.988427527622346,29.396782035516328,29.60417136333618,26.43865833020788,31.850618629775838,32.3865635134845,34.0959346953161,33.97854786817893,31.01793316002723,36.39846267874916,39.46338597651039,37.89755465409001,41.02637896385882,39.45371926462711,43.28184431732696,39.417676885311906,40.48186512716891,39.23534952055079,38.23065622543199,40.340642642740775,38.6822146875591,39.3093410963817,40.25654654598176,35.95356369394053,37.29003457519786,35.58977410616717,32.72658764480689,36.13353652101933,33.28184817975064,29.905558061073492,32.88011107531323,34.68373072935942,30.045069965081314,29.38909911403767,33.40159719912453,33.2169751122473,28.349098764666795,30.762891785617708,33.103787522724694,29.17886495568225,28.05726080875188,32.77079283433388,33.15796979763324,37.29571294163498,39.01795055986923,38.090874418479125,40.56819474309644,45.170151222917504,49.24449188381787,49.830823528463036,48.25106213445555,47.27094423091834,48.694773735009534,45.23186505800828,49.56444670236751,49.78546571768036,43.72000783452289,45.45055834306385,49.77828027206107,46.51323098638237,43.55244710842137,46.233714326157305,47.93812110351669,44.08456843962687,41.40510900296992,38.76554446603556,38.58824217461282,41.569337222765974,40.61806457727989,41.017795198139694,42.99009269800809,39.15894756936311,37.042845711998375,39.123017536830744,37.69277236947976,33.1824787238499,34.18119202084222,35.137126462118424,32.388056363903125,31.30626239658039,36.2819024174722,35.4867939584801,31.444266972475308,34.825227508027616,38.65689900988985,38.6166007374213,40.812955331465325,39.3711865620352,43.59526112450386,43.195470742466256,38.04904397913349,41.15389247657682,43.84946638429482,41.23151649826807,39.48274801216126,45.467522778554695,45.47674952772732,40.5014461233684,42.11884767325266,47.31472848198665,46.248748820472834,42.566333776311254,38.23032639891865,42.85942926221613,39.29355851132887,39.542661344905206,34.202539004936256,32.81766809932183,28.079141434661768,29.343405867046933,30.638326261350354,34.067087147245516,33.369527649808965,33.729222925867305,28.508744191059396,29.995393183352384,24.91844930625742,24.46500427610589,26.00137034577184,28.053147115026455,24.625339270594488,22.268196764084937,24.73575118383919,24.222201442353118,18.94293893568877,20.019773409009524,23.9124730503949,22.972634496975054,21.104012261850325,20.591701088925348,21.019581257737144],[22.437601662455354,21.961076243454965,22.115843347777517,18.93388005809256,19.518661400619667,13.966842527724499,11.947431362904554,11.277951290756251,6.425227230249067,7.139955970778673,5.8800414989653005,7.740575700053528,10.805626013331427,8.849842987461258,11.597187286020384,13.898618389634114,15.220752252810819,18.8605582252062,22.75492733182208,25.064222571087186,28.690582094159886,32.78106529983532,33.822167624541066,34.58166224968467,31.81787685061844,27.597043787393954,25.536320226314167,21.376799169834104,19.924445669602044,18.23560033884961,18.851086047491336,18.557454270159386,20.70967224321179,24.736743060461762,23.75912788003512,23.22153720428631,22.903329892320098,25.430329649291544,26.68077481851878,32.56610509953603,31.016615699118724,30.02459650691162,34.19368686206977,35.34538392829761,37.40779415509924,37.36527449655211,41.04041529995054,39.755008277500345,36.6361102095391,40.70582669253308,41.69422412169883,42.184383993100994,41.99037865744482,36.99200012753585,39.699410792453506,43.0134752624315,39.586821088078764,36.76843289054868,41.229320308560084,42.9976990270433,37.96894082260571,37.8048564386158,34.77485096588827,36.97205805838642,35.92603944082042,31.86502745989668,28.589217528153412,24.609841232505815,23.006364857337644,19.196382340369745,19.73565809318106,21.82280954763355,22.13997947633298,26.277477295341242,24.71024275505001,30.665960113307253,30.12045472244772,31.926236662505453,31.833917403936212,34.09151239343029,32.23039602122566,33.38373621552742,31.211364200156297,33.28522584633919,31.09755548214798,28.084488578035128,29.034376997010966,28.17874738140424,27.577593841993785,28.641927760623787,26.03374161847026,28.162444410714876,24.20269756718087,21.623574481911483,17.090754346408833,16.515564133649132,12.39283998784264,15.31267184555431,13.212419433796352,15.359584951153577,18.083316732895998,19.55607435321062,21.806659511175937,22.419686554501798,27.549643575504167,24.590572662610228,28.49237692252883,29.54242636339346,26.862814250927055,24.248064571898027,20.6768884837282,19.18663577620234,14.581059122058148,16.32886517254249,13.602958608238339,16.34564247233383,17.6601046467178,20.86495691769921,22.475769956848165,18.349441086061326,16.731242595441554,13.638817817262328,15.738790426509585,13.989047466348698,12.348991344285539,17.28942091310754,17.094605660760845,20.508002102185568,23.668462371021022,26.261841209932772,29.100334850250807,32.4635107785287,33.072572737527636,31.313404024046395,29.39937360491863,25.07670569457887,26.74612834652162,24.05270341555141,22.685030984393343,23.035529321902658,25.724709677193612,28.669472625534514,25.391027213932567,23.343800583474078,25.082480230705404,21.42290087702773,19.56046909039137,16.94339292973101,17.18243001558243,13.301097690287138,15.579046101730043,12.16350182789108,16.70358971474763,14.969874111084703,13.529084281109741,15.227200247890563,13.560061609988688,16.775041293873905,16.737350397025182,20.038837720532655,22.064110368462963,22.56481618606295,24.008484086547078,27.08578086116666,30.502230826020075,30.520044300100064,33.01018489835484,36.25003739140954,34.66566270329654,30.93371701300488,30.030666240150907,26.82444860321171,28.0780701928406,27.34343135391599,26.32958008605727,25.994649133901476,22.757211752151363,27.90765282637026,28.97195392532909,30.55589462789535,31.088293956673155,27.826097322500576,33.41107528963879,36.648933812989696,35.2742565542407,38.40350570729888,36.86373123686211,40.97381338952097,37.56035473530317,38.61782228383245,37.47254489698129,36.132334621024256,38.37501335781152,36.763792130301205,37.34619884676137,38.410872417391616,34.24879094374012,35.283995679655035,33.80972339023442,30.48122440082708,33.91052616061817,30.690767929850594,27.633493101728863,31.161842503659184,32.614153415939526,28.010892954444945,28.289172280611208,32.0418526813543,31.29529716657975,27.099392627880096,29.92627225193404,32.01432324882392,28.02165123236728,27.680769049805868,32.460155501419216,32.88488559306543,36.57822302165693,38.693950099496355,37.21805029832972,39.46006519992365,43.83905402476786,47.996387755741154,48.3027853473001,46.214764123260046,45.083086424964435,46.19093706128076,42.514792119124024,46.89725574282092,47.52092630818341,41.555847811184485,42.97082952668723,47.57751170502,44.66649979055295,41.552707003378046,44.10859733673554,46.32409385099234,42.68819112465586,39.71170220074418,37.00876202682309,36.10299786137282,38.926288857462744,37.890192015242114,37.83751094780324,39.65643052832142,35.605329529454465,33.92996046280288,36.07697011645042,34.24809673647023,29.888078004825136,31.41792255597884,32.19886515567249,29.43683119552706,28.89381752618758,33.84677758773757,32.986459205160834,29.313318041028413,33.00281437107851,36.664180812032725,36.74253585396985,38.56314251757779,36.89103246064767,41.16858265583276,41.21476027250683,36.24474427734166,39.05566920028634,42.11429441173842,39.790999408652084,37.93105213657661,43.828174992481685,44.34550342429504,39.56514884092358,40.887606591378244,46.16637111865006,45.553511468997996,42.048609062467314,37.963274261159775,42.89808335828309,39.72305010803939,39.71074017098168,34.521474453232365,32.50763360329391,27.86383458209407,29.828473408234046,30.787053443247256,34.246006820591205,33.1173810190059,32.85413117118779,27.452132449562132,28.305493006317196,23.30645249204388,22.7618349265521,23.279987143583764,25.242305024241166,21.303646641683905,19.6952453830448,22.62492221166689,21.58960915454915,16.195570139377292,18.590404050198973,22.230861014453712,20.84940413123364,18.829364285843635,18.060182447319878,17.98595131076588],[25.785059504261334,25.82694591454496,26.60835602613137,23.31435875942267,24.507884967073014,18.86514629863647,17.143867565000686,16.375247234321268,11.615199718595465,11.754278379360192,9.36952461032996,10.838683382155876,14.372477514292353,11.684721881510125,13.056938894955644,16.010880635489183,17.842462277036343,20.59678989200425,24.19934710774867,26.945775647416525,30.1657653009523,34.48210996788739,35.265329985383254,36.247256797610426,33.919376780209916,29.612254999034946,28.164582078203395,24.200189877754948,22.50032514347639,21.00368217962298,19.88899789483026,20.59823345048885,21.800111675982834,25.56423706529649,25.441738397034666,25.134704359543512,25.59086548397765,28.18247215446883,29.81006764551238,35.81926539822618,34.1833463891692,32.45332224612034,36.6056824017696,37.986436748799996,39.8442252583031,40.04491928161844,43.67279709256629,42.4844163542376,39.76317979430815,44.01722627820235,44.79791321103853,45.51719767233565,45.04170531070071,40.09539527714781,42.5478854816908,45.58019757640803,42.00767469429096,39.06390598592269,43.33921810145244,45.02540859620455,39.749263110770016,39.025245492824176,35.81078572642433,37.609863365612334,37.09676040040883,33.30742453280849,29.397638197815898,25.499820723988293,23.544857130541114,19.33939065072713,19.630919729112282,20.800078989479122,21.416628608872024,25.972282423041133,24.793606453440827,30.5408674057388,30.92053924479037,32.513962834912235,33.115041157800526,35.86314019368214,34.51134678995179,36.22684953097535,34.398524208921565,36.8580562689625,34.743677984874395,31.352980558560787,31.661041717047823,30.588182863371674,29.353701425649184,29.739718335838955,26.679561195220373,27.93408668819642,23.90535363519061,21.52916629268343,17.484743473266985,15.786557399419367,12.26221885505628,16.310665733676434,15.127708853052074,17.404589737367267,20.620885028420265,23.03065206317809,25.254311450145163,26.620292288334397,31.962960757424337,29.383529511014892,33.3510775586531,34.603574006288085,32.03049687384546,29.280628805951107,25.84994944055796,24.263486307166787,19.70736667837953,21.177163488788953,17.841341421155946,20.288464888069342,20.91119721683131,23.91407021156422,24.467018119270143,20.395596327003556,18.806678955216082,16.359161538543518,18.97462364234304,17.99968982684563,17.053408744621457,22.15737450499952,22.314203087068687,25.677730083834945,28.877432102404935,31.337514157519436,34.28874776863256,37.62746390240002,38.12876094643886,36.25548282469087,34.37369614397621,30.023196778659713,31.764948571345556,28.798142447386425,27.07249015853542,27.249472909909183,29.314672929657334,31.97804845975212,28.538948114372023,26.963834389890774,28.615322634263975,24.955175937580766,23.47685374971056,21.08766112701659,21.76142747418732,18.100096945225474,20.386104396351126,16.554788688823916,20.494211001630294,17.84087281056438,16.067103319949222,18.44550277407745,17.225858743772537,20.960323451279233,20.59601997382452,24.59571703627365,26.646926549309008,26.482273054405578,28.176936114088623,31.01636317042477,34.76005962069633,34.78808106695224,37.58342879862813,40.74433489409578,39.38216561143445,35.54094367537035,34.79741372342805,31.44543865319587,32.620191231441915,31.784299811174083,30.502635977861974,30.091451506712264,26.434272221342447,31.437321416840593,32.7379903533219,34.590827941540056,35.39029224730708,32.463591425109065,38.08738995067586,41.329848236048655,39.71718056799223,42.62199488131872,40.70919409542526,44.927819506651176,41.28434152225346,42.74363850770379,41.81562140593553,40.694140020033565,43.10540147562416,41.64863901554706,42.36533433336538,43.537361119768185,39.418053892017454,40.5108507482094,39.03560244228092,35.70462056177425,39.06267434867021,35.75803102054594,32.77908340221755,36.23790786239135,37.56265644567241,32.887888192428065,33.15842403283076,36.81807028371509,35.86585395828711,31.59839066728386,34.33380017411128,36.24746347955184,32.062364400731724,31.67177721108261,36.384632521379565,37.08499710787691,40.663677835811036,43.11552529209569,41.79859552825645,43.92346373550155,48.477086438543495,52.44047881113668,52.951567335589495,50.91310450254388,49.94391952151918,51.08720981975999,47.464999183157126,51.9198810869766,52.550112561856814,46.63974345151038,48.09794040121627,52.73974097333278,49.826635993155975,46.753501458250994,49.332724721611214,51.528343850970685,47.856838911939725,44.936243437568756,42.21187426570529,41.30593393341173,44.083405859160926,42.936432857104336,42.76572581265984,44.37252298070964,40.314687867427494,38.86101690905294,40.778583303892226,38.73272127354768,34.56729851805162,36.12448654776154,36.541419934925685,33.64328785202944,33.29657135623843,38.11891255324268,36.92178502107601,33.16692749739922,37.072766545567205,40.701826831375115,41.0560728710534,43.02379786206135,41.56379055446695,45.90656709896241,45.80924430003077,40.97112711072457,43.96366760308841,46.95467075275284,44.57265821209841,42.92232114595191,48.83299472361338,49.20978334521455,44.45372312672545,45.952905003331914,51.17885056449962,50.41819292703972,46.89418193596386,42.700634707784275,47.527004690807814,44.16156147449355,44.083415363382514,38.87011074730707,37.08459288703277,32.31946307301425,34.12896500542844,35.36465485872056,38.87779322125773,37.97173223663022,37.84531986896795,32.526287265653146,33.51342879471485,28.510234239425152,27.831170896522284,28.32634909125205,30.068467697697436,25.987184430231107,24.66624653557006,27.285766698225384,25.892042892530156,20.789045305654977,23.011050285128583,26.250568412934946,24.426957456876817,22.263872173798344,21.10795292001817,21.132346848762577],[24.878257466434995,25.177029197346467,26.50760409674234,22.941378387602086,24.945672414972986,19.39872641450316,18.216919149355707,18.139878132979696,13.378781996124122,13.793798717423478,12.053641345744884,13.960515457840728,17.1288116794434,13.980765566908712,16.00187216431912,19.054378405363675,20.352717225154368,23.143701422920515,26.29697187361467,29.37777360532026,32.425822598961574,36.858001738484724,37.398110682233735,38.146442808685876,35.96892010528874,31.557414145598507,30.296777973654365,26.371926436675313,25.101408260140822,23.941203812351958,22.960438209293294,23.896999968775592,25.204944003296493,28.870762088167563,28.693035425769185,28.14722696257032,28.68839541673148,30.912366965992426,32.329783327819314,38.42275850286202,36.45579911080416,34.84237138974141,39.09360721196985,40.23495609383455,41.85321362653769,41.84883831253811,45.51252425326688,44.612521485818014,41.81251662140043,46.09540085187231,47.138423633312556,47.956663482743956,47.63564506263483,42.657971206108336,45.38687851916649,48.31268925462317,44.5973340347896,41.88072355202808,46.22444975286778,47.68099384439872,42.36769409716073,41.77515583106247,38.67843000726485,40.2011200088434,39.607082714994476,35.96568923890741,31.789926578040205,28.080876388095515,25.67656823034115,21.639835367054403,21.48690898692737,22.389049461062395,23.589917343831928,28.14145719844679,27.446831861273534,33.279206237524456,33.78212883844775,35.56994473967375,36.19386888154112,38.87710682057207,37.63612955959773,39.19263213344245,37.45663919224132,39.73305312488251,37.43073196373989,34.22311687034359,34.53331062789242,33.737193082579516,32.34155034761248,32.95569368733178,29.74664446886393,30.890390837076243,26.93130973628437,24.74120863700079,20.722445859166832,18.949424463514056,15.463031568846418,19.747610149557794,18.53045469350729,20.63400841084015,23.964521755462986,26.08959082261908,28.390433320415582,29.429170489247138,34.65353835269089,31.75472323197399,35.615144668340655,36.59546017834139,33.72998138653275,31.260489701306554,27.526058131648668,26.198906207308415,21.521236045036083,22.87540051464896,19.727897793808374,21.77431185399153,22.683156266990363,25.239415031958053,26.04516762331465,22.35174926827358,20.321480270309404,17.892742104028198,19.886759061981596,19.028984625065068,18.102900255932344,23.306946886806347,23.497431291803668,27.106955874480686,30.37413972943483,33.25031374901924,35.75629654004814,39.326485844029925,39.869934010750065,38.341448281120535,36.10347437517444,31.661180992414973,32.86517919567927,29.95266283781297,28.031205355178184,28.610731907641032,30.333192740618237,33.2912989946399,30.147669378573866,28.650269098097382,30.661162937605685,27.257035508702067,25.56194164262736,23.472984446669628,24.14775500463929,20.426093426370823,22.691635546244598,18.976737870601436,23.032407103603138,20.044457137600688,18.868948458594506,21.423677364047432,20.231002676905444,23.742303516580364,23.536756663755646,27.1577637526729,28.938682280412984,29.01873688122237,30.18168786316707,33.31834042704608,36.74573906814111,36.28734930434279,39.18388406915589,42.10991071269687,40.59714687232369,36.69582532365048,36.18771368839845,32.9857151005831,34.61781029068048,34.085157516330554,33.08338748339522,32.88304330861403,29.37559854803873,34.51153691324962,35.59424894519817,37.40116609480246,37.86723663185049,34.879375051853735,40.4253482164033,43.60572652666977,42.02369581637429,45.03548098319552,43.23089425484559,47.28960611370735,43.481535673963414,44.81682145090528,43.746385885433064,42.70022490216819,44.95474985496311,43.37117028519107,44.006035798215215,44.99480026747769,40.71616867747964,41.85501379584023,40.10861011485691,37.001229175017166,40.1980613907915,37.034794400361555,33.92212477156026,36.9971868051861,38.39789164965474,33.65157089160305,33.46415492781605,37.15778923502693,36.394541771893465,31.743346484373678,34.229824442552726,36.17590630403868,31.966414186402126,31.189716626493542,35.81804852477635,36.62577224776049,40.33342816065545,42.77467198635967,41.78047396436365,43.946456802738844,48.69972647410669,52.51408769879091,53.28138555554098,51.57059726616472,50.79633888505994,52.181938804438595,48.75780657660813,53.251604095868366,53.58877212185623,47.66347420884767,49.4024620742637,53.900674544388025,50.763058632831545,47.851698888586306,50.60881310300448,52.462987114757944,48.624245767649946,46.046562480773794,43.18822661980291,42.77597376568067,45.57766180569806,44.32184794689918,44.43701948719845,46.016077446955116,42.16192739562791,40.45046542953274,42.146853318141446,40.32487706049574,36.11268142218685,37.26680871747886,37.655564294823606,34.71759613601487,34.060818033320096,38.85104000613694,37.59491812042581,33.576563419693855,37.34645884403392,41.065436104483716,41.442134616360136,43.70405789119455,42.49538409761718,46.83964760011405,46.378956702357144,41.508355791129226,44.78884075649195,47.519657164202115,44.943147493352576,43.51042614116066,49.474040188462155,49.48728607930121,44.68173428862206,46.48101774908124,51.603527110077074,50.52908581518265,46.94466297037522,42.59332624804957,47.23541875434255,43.63652856252393,43.54988128254081,38.30667801769274,36.869833746904895,32.017761543807154,33.52981477520173,35.063453486455664,38.61668964121815,38.04661470980353,38.19049400018785,33.06501910340114,34.489240688550844,29.489162595067903,28.586739926080295,29.646741297699684,31.29640651380062,27.50978792723324,25.807458653035532,27.974924201471005,26.76492794106437,21.83662858498518,23.2476976910497,26.455735964302658,24.787883709849016,22.706395162030276,21.681436081758488,22.097061549159623],[20.50736213716562,21.05504554718116,22.61592203892359,19.767132197485275,22.125066374754937,16.00987035789196,15.65192622217556,15.460954284098106,11.271737586566575,13.362396865893865,12.434817024515752,13.571649846781343,17.34815556634061,15.197925182729001,17.738094595271832,20.260552599506358,21.68845943628342,25.14124756252083,28.748654271740552,31.382894928241935,34.8232737062972,39.05276888544549,39.893878381334076,40.56567198481551,38.002157366971495,33.67618401250421,31.848214233824326,27.727777995301714,26.43376378165604,24.760789283616088,24.86785696053594,24.66459895875891,26.28837431644227,30.432179117162786,29.895417347874126,29.600126751626426,29.33227225543377,31.990499904862283,33.21483003229202,39.10500849437315,37.44597851966433,36.457141041139046,40.665969434976205,41.738008852637506,43.6266619781594,43.44827815815265,47.147476859721486,46.07952396715348,42.919871639151296,46.993010758386646,48.141360640611396,48.65620426819122,48.52135954699178,43.5277705492501,46.24545904552973,49.560426400015096,46.0964256971421,43.281023738810894,47.70912059061971,49.45628639964117,44.35578075869716,44.0255815456006,40.90799772552116,42.91968587260878,42.08181674955297,38.14180728432279,34.527487280691076,30.62076678499851,28.66253560148418,24.694884127100316,24.87189836126935,26.294212547298418,27.117490920733104,31.544235964038442,30.32168144067114,36.16933733539053,36.13428734256848,37.76478224724247,37.99538850349184,40.45307700472203,38.62955186224231,39.90119381259452,37.58033715373797,39.67593692772037,37.556317508038106,34.597897474565116,35.5804974071506,34.56000514774777,33.9389040456413,34.60793313521191,31.8871703197597,33.51968737109178,29.457963313648285,26.833797240474347,22.62122437126306,21.265500543546242,17.58855880016494,20.685952897393438,18.607059485226355,19.57154603795993,23.600468896027184,24.585649733801677,27.62975990302453,27.770772307749173,33.094105656954866,29.741152846921775,33.20277040072832,34.152434261502904,30.959850581874115,28.569723838167718,24.774272550377187,24.29120314690569,19.712245686304982,21.850496195967278,19.690095560053688,22.083027697295886,23.72838792177347,26.487927263031516,28.218917774949304,24.38691989212041,22.382176214231297,19.40044253101236,20.829478657824605,19.13390064282825,17.198208556576837,22.088535090292325,21.07052495029776,25.101037562850788,28.070883057110358,31.232017751316132,33.52735102324796,37.00823124792417,38.059505832329315,36.5796001675383,34.590726237032584,30.28913106782842,31.159793610510725,28.931789619399378,27.550416898104174,28.523642855108626,30.951294208200437,34.28647851775236,31.318669326226317,29.318846679097586,31.35920599042778,27.859353630268856,25.823334364105826,23.291646520536244,23.19416410689211,19.03474894643697,20.44498011148721,16.535546746599202,20.325568870645917,16.84290770217514,16.73690913772931,19.644907427662016,19.0018039097172,22.027954710284277,22.79244288964823,25.72990148732824,28.02931354102853,28.975351480826344,30.117203659745744,33.41994256331661,36.523780447132545,36.10982340036317,38.516067176859224,41.545576752815684,39.60050745918676,35.89986069750625,35.16071290846099,32.26813672860002,33.94535006209197,33.39715085410291,32.56094910729661,32.08461419938783,29.041333116060603,34.01119608892328,35.28898888271369,36.67277396350266,37.217526078172014,33.56649370325012,39.10012544275314,42.33868661510731,41.24645970399986,44.56315666315216,43.237222818518816,47.25966177969911,43.86596456589635,44.720029410245466,43.375550439346455,41.92404339099298,43.89940975337294,42.02737486334441,42.322227159605596,42.9690407951842,38.528235299382715,39.27412356860473,37.18842692812107,33.980198347186295,36.75606939569954,33.451375416240346,30.51551488873401,33.41799902953361,34.48643817568133,29.676419634569864,29.754140910674916,33.13742617461381,32.047303677492714,27.496361222041884,30.019311103994696,31.714186255248503,27.39526774765363,26.878413009033274,31.45800490701643,32.48974015834802,35.87556890115315,38.78926358299936,37.673508987660796,39.61434403179076,44.44454617563075,48.094240142553915,48.970640637390325,47.26056610028335,46.68479190529838,48.16507548998027,44.91785001264251,49.532249098107634,49.75776561693602,43.973320380344845,45.90903786346705,50.437360603918684,47.308969126367195,44.57994259146519,47.56898267387183,49.35403935742006,45.466305859144214,43.30758573129256,40.025549056385586,39.75814392129283,42.34929333687718,40.7193461484437,40.8976836505562,42.204738752110536,38.58486412156296,36.856015319925234,38.12110284965263,36.33750366271456,32.246613305707406,33.14829730510754,33.28938258697977,30.29514403101101,29.62190343739772,34.30301712699715,32.91227042258196,28.836742812589033,32.666210863702744,36.3533935164471,36.872483041777876,39.23053767177422,38.238010227499196,42.62051336369725,41.9919390126334,37.2914003092989,40.769022428791004,43.418527018710876,40.84453805224833,39.72723353826346,45.65355988634658,45.60412454644992,40.985910700981954,43.0161753261986,48.008772572091324,46.922095088647815,43.477982150275515,39.16650865186694,43.87864771562862,40.38976630995031,39.89029232578692,34.80157636306429,33.154118462706904,28.258889710419737,30.190177208791514,31.85316103265539,35.54866631228908,35.074559460432674,34.88118439713557,29.985083550472957,31.528279095427543,26.744287954497366,25.132757494624432,26.128816911714374,27.393677559278622,23.734138153829146,22.146948199557205,23.80651880540383,22.377269345161785,17.818718127855252,19.022131989565132,21.844369564474132,20.03029409881019,17.983090823165863,17.02702647819869,17.772097288440758],[22.795515160848506,23.971902572952,25.99527071578104,23.780846642134208,26.394028485825707,19.975948747675766,19.94844960510422,19.159772237965715,15.305140261605386,17.614108292898873,16.09347925727809,16.38501762257778,20.970412510883158,19.099234237601348,20.73280016183094,23.29705001571837,25.401559760174123,28.519981447391917,32.30559507774075,34.88650874911311,38.26450419556919,42.49987469863674,43.39355159901334,44.316071412751356,41.856894537216526,37.55975540193068,35.844280676148955,31.75227737534503,30.053993120813757,28.06721437970348,27.392796119622243,27.157586042959846,28.071847142689393,32.283030427861256,32.326333864203264,32.53017904324815,32.35611115152768,35.52774693885548,37.054561814813724,42.887759860031366,41.50455092710438,40.199328075949445,44.31442147450519,45.65827157707115,47.63233801319835,47.65611114051554,51.318494463999905,50.11143914948473,47.124177966538234,51.2237115922285,52.12734288823635,52.612640868083574,52.260668304481406,47.320739546694405,49.653792039823486,53.014208246510975,49.651350994987126,46.54687798382301,50.80699288851977,52.77900548925117,47.61419695094129,46.85762401231255,43.513405926570606,45.575397500392356,45.13573519176056,41.21765916906233,37.52515581047302,33.53438377494569,31.75003242197209,27.50356585206213,27.8132322466991,28.773289873698467,29.426091202264836,34.056750134592114,32.69198747264369,38.19698138611731,38.64678381867154,39.84608244554641,40.466488419244875,43.25535611563514,41.46441421088336,43.14397923227302,40.69097082948647,43.11335038426014,41.28122032950573,38.05724923075453,38.9100884648824,37.402354805407946,36.81646416581024,36.76380001391811,34.07261323937044,35.21490833356363,31.08219480636233,28.332217223440285,24.579581211527277,22.61493231931205,19.564898194288507,22.446041970630407,20.58940194076908,20.815595586384404,25.69368085892258,26.816887493809677,30.3249302615357,30.686773165565327,36.34961015896157,33.201529039046804,36.500863278268135,37.77659678305352,34.624524352978696,32.00644315298379,28.49209515307734,28.309528145494216,23.877328134456892,26.31756082718469,24.10689648399394,26.68948542108994,28.08286665650971,30.99666095788081,32.27687401037024,28.27880830242106,26.493822898922613,23.698994769741752,25.489057318757823,23.890118849167553,21.947009997887616,26.769048437110595,25.34390960049969,29.4296539128604,32.20968037080464,35.207337049107,37.70756626747874,40.979211021875784,42.25944910127384,40.521876881974954,38.91469620729616,34.713873789653704,35.72051729423614,33.63936121511697,32.36051804748646,33.22551989961781,35.69521373140988,38.887650927658434,35.75330946997551,33.816861162118286,35.645461714062705,31.95437899608948,30.12009024320612,27.339797944909304,27.123276845221067,22.87349818991165,23.79761812083365,19.375212328198113,22.30412704945286,17.826500093446036,17.91984609110594,21.54942674483617,21.67735061518295,24.918382030545285,25.969827835354515,29.260306493650315,32.073871033429654,32.88246809290227,34.492246603127,37.56456228795647,40.916105012668034,40.76851367372123,43.09815486891596,46.2389940335457,44.28722737086853,40.63667015101632,39.78203414159158,36.87123459935553,38.28683065903063,37.4828326356645,36.37061010842538,35.52687474927671,32.34346581198257,36.99175724402028,38.74268629612319,40.10493875480988,41.12670005764641,37.35213660973027,42.96991550605904,46.29418494952888,45.29597893668911,48.56883731802089,47.16134211022811,51.346687629041924,48.08809273470946,49.056064590428534,47.79675410507565,46.23848341384598,48.263160158065446,46.39864817355722,46.629552640609866,47.233672702341785,42.80221798388279,43.30363165092419,41.1226301078885,37.733843998781296,40.199522122179815,36.64603525980701,34.02497360299279,36.91560831808108,37.541293668456596,32.71541745435518,33.24169380586866,36.213779451385015,34.54728205232013,30.320303882123834,32.84340129797835,34.074315505722524,29.571562907347406,29.44524009434184,33.808085096635956,35.264787402220776,38.1101606681649,41.75918304104681,40.58087815894504,42.15176202345474,47.08578862181808,50.403861990797594,51.47762144047057,49.6737393359159,49.35576714290619,50.81769514073163,47.6906749725645,52.44002657459392,52.7334885008116,47.164400668288515,49.14486378851436,53.79093954031417,50.795550438136104,48.18060079910279,51.26953371488317,53.147219949823345,49.284889532945385,47.330674739633096,43.79582158576883,43.374848554040774,45.73715825319292,43.76348884937163,43.706111447525124,44.563946844382066,41.03849762579762,39.69401671065287,40.471646134509264,38.36476381126367,34.663448700471506,35.61559174781441,35.149867645056226,32.02534222995702,31.76642628568296,36.12915313378791,34.27260893845061,30.29946582634323,34.42929453541139,37.92402402433103,38.88076775776137,41.298064484282094,40.60719455812656,45.05047244311793,44.31684119044531,39.985590080992395,43.63159283365455,46.25203987922459,43.74237676209405,43.00625548126083,48.84055566808279,48.76883966957352,44.39344401291987,46.624337157409016,51.4747712984169,50.37666637857813,47.08008512875927,42.80323690193576,47.4868646827348,44.01953621802681,43.13871267573896,38.23788755787443,36.539172791529175,31.632363861463215,33.80652171962251,35.6760037188365,39.45471366545106,39.122108842686984,38.693173530074425,33.99578052606135,35.500003655769376,30.890009296581095,28.829685619253514,29.404201173939686,30.196770390601667,26.369026217566223,25.426192139471205,26.645700180938316,24.583997320690106,20.67652165546968,22.038648888618713,23.99725945290383,21.519268860202857,19.399812740880915,17.99918244579597,18.789345052104334],[22.095297213595625,23.821728849104193,26.105117273457022,25.103795241214936,27.812635117990915,21.096199720387506,21.7790285485982,20.432994323043324,17.579391109480056,20.82885839278582,19.52673459218958,18.817033403130043,23.967918900714512,22.996233818277744,24.367439851738318,26.493111208430463,29.03955812895365,32.34434429523894,36.54080324614329,38.70173657283788,42.315988197503145,46.35336880528218,47.53305495394609,48.580431261357504,45.88846809076984,41.719069366021714,39.65378765839098,35.49155646389149,33.51736770327923,30.996960996484383,30.659065961714322,29.560635324449457,30.25184954312438,34.75756053256284,34.87118042445153,35.57943442659418,34.85345630218377,38.641246929620905,40.214750863143934,45.76863988348549,44.85806249842865,43.81658378310562,47.7880498324734,49.27368963046863,51.529711213377404,51.583618042160445,55.22299591679646,53.757294386696174,50.64282653196862,54.56553231453892,55.337263822413334,55.54865335655666,55.17881471960105,50.31018678648433,52.32378067058068,56.004501623144996,52.95040231810783,49.583047215977096,53.75423414986293,56.114980056533504,51.120162953751944,50.296086955876206,46.815593753968834,49.30672998179153,48.92786387666302,44.80852223014757,41.56214531916654,37.40039220807556,36.10443725465236,31.79031951043903,32.434561505586025,33.544584580078755,33.77600629084934,38.37630777332695,36.507978425288684,41.75339909842448,42.04575046391445,42.833625609051666,43.36503593768991,46.149774417005744,43.933803273167406,45.64612841627544,42.67630948165662,45.15796164068128,43.71073794651194,40.532689204484775,41.799907491248945,39.80895482467479,39.86649490654009,39.40136724141143,37.17013691725524,38.40369640080835,34.226487521711945,31.132541264609518,27.609197110813103,25.71257486255598,22.9839438815845,24.74533004933367,22.49190212949044,21.33080302236798,27.03865390156092,27.314987477029526,31.58702311126526,31.41652856023502,37.24892414008917,34.020862877825294,36.81393673768365,38.32324974308143,35.07753586396051,32.37657187664291,29.203656768554776,29.838070518081135,25.788836273983318,28.891691930359546,27.3636738727314,30.267391144875557,31.923728175924293,35.08475216080059,36.67533064233525,32.48373407534376,30.91743878981099,27.921873853128837,29.61989639942334,27.572623290099862,25.058143259929153,29.42837757341149,26.92906263501953,31.153536754345758,33.47724256638867,36.41425074126764,38.928939723975716,41.86700243028795,43.6736463898852,41.75637110116627,40.70491301324143,36.78325758203603,37.725186432474494,36.27211139968863,35.50564230255116,36.48043594410983,39.49628189702319,42.775786360798406,39.64135169391319,37.404265030036996,39.03852632094352,35.18725133591172,33.307849481808475,30.10033319678711,29.26652323474878,24.844733014798994,24.75141636585594,20.09992820185997,21.918742414085088,16.598689522635144,17.760598093176668,21.899175842679345,22.991168302317956,25.835865338755166,27.755417102046685,30.681820466476854,34.181898790267276,35.48126741996765,37.420205194271496,40.3645221379054,43.63881909031725,43.7916315754282,45.65722521215957,48.960799715605546,46.73630594506349,43.33015112899574,42.191316366039885,39.51419591143671,40.6802790832372,39.65806848344658,38.46640510872554,37.15552668643437,34.29681158950525,38.473251583465014,40.68226279678489,41.68133818449544,43.119167931222336,38.83242486110077,44.40535792050593,47.79460704948632,47.24879594604974,50.67093814555893,49.578186961142656,53.82712573016449,51.037022876821645,51.725020654889235,50.35480897435895,48.419310237057765,50.26694090316732,48.23382989289342,48.17138022789345,48.51089751183396,44.06318992317453,44.06380448035317,41.64900990845641,38.06438630113065,39.94574141626308,36.130533647102055,33.994336575348,36.75988081299098,36.73852762870568,31.99103578816199,33.194770416442715,35.50886064699849,33.09530622490007,29.45385333297977,32.00939446851885,32.61268633686565,28.003053823520503,28.559323201154847,32.60538175974864,34.50985516550131,36.54849884720486,41.10231347709969,39.69123509768302,40.74397199402489,45.68619198341734,48.61356267348132,49.84049587426439,47.88685821464479,47.884948098371744,49.32914981056555,46.43105937613877,51.31594304664317,51.63986331070015,46.426033460116216,48.50326550618942,53.24221814164163,50.44786849530678,48.05799261886475,51.32478558855542,53.278018026701474,49.48665224198774,47.954944978073684,43.98518748250362,43.45390666586276,45.43078925703263,42.94754505919971,42.69716865441525,42.9712059628185,39.732841873706455,38.75415167617622,38.822151158898805,36.47885080907719,33.28896485640926,34.13818741172698,32.981155528584715,29.784645439220473,29.94950947086224,33.85599212266539,31.544612988283433,27.78336263276899,32.16333395894286,35.37212507947747,36.78852173552752,39.206704606683545,38.88443206558007,43.336182955283405,42.49103242118535,38.677875818579864,42.47500318909766,45.038312636209554,42.676107958554006,42.44238560737369,48.07332257017047,48.039542311843086,44.079568085536714,46.52636216993205,51.129978122327195,50.120310230876186,47.11029874034204,43.007189789627986,47.711460879352636,44.476296444909686,42.99948522983815,38.464379821651455,36.482751079125315,31.693040783636274,34.41293474177308,36.39117758910435,40.24710473144095,39.9969477192847,39.06292177599921,34.75066495800816,36.16809963599156,31.981551537517262,29.168880703877893,29.21198057596292,29.306765368903896,25.541262927265787,25.333447353704095,25.837562763027428,23.104606650337875,20.26049662664104,21.702228109507548,22.497478749082966,19.38022034248413,17.363547428932755,15.693232312102957,16.69702557481608],[22.399352548277133,24.458319553029238,27.401200212237285,25.96609612278623,29.497727383140223,23.110680263994272,24.10315765534272,23.5286099228147,20.367466078596888,23.327998724047152,22.212958898236664,22.251696119786423,26.97244331306856,25.28999207973139,27.1010574339693,29.554915768465825,31.64303450192593,34.893948789252335,38.65550089655237,41.24499043520058,44.65007193901304,48.880631895336805,49.76316197819373,50.60534067730545,48.12493167863996,43.810687553398616,42.02579878827656,37.90003067675669,36.29904976622215,34.19813651632073,33.71108942192395,33.16805961892563,33.968945694284805,38.306114201872646,38.41863012512822,38.78873880040878,38.370703100933234,41.70007306380054,43.13026705090007,48.88101437748027,47.54361105510296,46.46359182271967,50.58210724296303,51.8509055554052,53.81990012185036,53.706620524642474,57.38909396680685,56.246639911554745,53.11459766490711,57.1344897654415,58.16255125893743,58.55300962605123,58.3031729223699,53.36954913392225,55.70433674288508,59.19729127004679,55.90741368121898,52.782048884969015,57.04385281993139,59.10102325017079,53.9813917888142,53.23430017812527,49.853359687978504,51.97078089998477,51.552982016795404,47.61138805896963,43.94610450910461,39.95521450226226,38.13918814939665,33.90164358812407,34.12484070251313,34.935366098492985,35.727648648270964,40.393400889584804,39.06108402174543,44.473241711153776,44.99553327291164,46.05425056495422,46.69678019008662,49.49019580244365,47.52430025951477,49.1482629261862,46.42551351890095,48.77092992340479,47.04359669401599,43.96088272877966,45.06100107504595,43.42030711187625,43.08861217784804,42.8826534431695,40.324468538076275,41.37640674879795,37.23023742866746,34.387237487024066,30.786868256278265,28.717597652978977,25.86158166358312,28.38069560985984,26.32728973031637,25.692604305468787,31.128751034358693,31.573964738303577,35.61532594367138,35.408382369147255,41.08344320522055,37.624412155276474,40.45437946461805,41.64119035585551,38.1605952071929,35.77116818540437,32.25541570844447,32.873754341467595,28.62906764444995,31.39867599133005,29.755044284773632,32.25865977541046,34.01021809500802,36.761940109147204,38.396213502539005,34.51784397641001,32.574569013945066,29.67979120193578,31.000847622637412,29.20991848034487,26.923266128261563,31.463295069745254,29.320385235047212,33.6823756908694,36.17167845508477,39.49197364837839,41.57035138268568,44.80055092355653,46.51043395549344,44.96704339286116,43.44045652637603,39.36934906999653,39.82616746315441,38.26986948955137,37.191664933078094,38.473022265717844,41.02033532215255,44.509236163497,41.60842889776249,39.54083965144337,41.52123935976265,37.89873311499795,35.87893970671954,33.0352812215185,32.441760919722334,28.047023704037812,28.316147649681582,23.901453208792002,26.166251801727288,21.019325606905742,22.203620962936,26.196117789786427,26.91120708121585,29.760076462231392,31.443302701631605,34.25026664890841,37.30363860640456,38.60905685078155,40.038923346167614,43.26476540158395,46.32086806911158,45.962132721538346,48.05256706744907,51.08904308904852,48.79667865138357,45.28143509519019,44.44179393119334,41.840200372485846,43.47460845638473,42.771146860984594,41.822347138682446,40.82872990651445,37.945334680086525,42.39953480639214,44.302814007690166,45.39639481345991,46.43897313751065,42.26140958425475,47.780179351152555,51.09574482173293,50.445691963975754,53.91664040905537,52.80925827620472,56.91609274823093,53.83063937921683,54.50741409971791,53.04398066280712,51.28459264742022,53.039355197407026,50.93435951590801,50.867131481964016,51.08562984604077,46.498666580987994,46.65567815396814,44.016094574012996,40.739586561356816,42.54225801758272,38.973325634440634,36.62223572814609,38.945322040063544,39.116342391263025,34.34108861767651,34.87416983538159,37.28184300169167,35.23729159743413,31.098003014501863,33.27114063584539,33.958702435204216,29.410192872580907,29.359535555262983,33.22370371021301,35.23522033730646,37.47428878680249,41.9047397395299,40.965567530539566,42.10633251673407,47.26595871666732,50.00117598550352,51.54899332293646,50.05331302087494,50.261454175963806,51.99195191271191,49.31913477292421,54.19288249446828,54.16582519395469,48.919463955067535,51.29043943827781,55.82058190351875,52.75007613996797,50.52609430948092,53.941931848415756,55.48531626837162,51.51171131947404,50.30250783762265,46.29013448840564,46.32462251807861,48.389943515742885,45.898086834445394,46.00011127388021,46.34260685579138,43.30838637860551,41.99223463097651,41.93433696141774,39.915642175943496,36.62906742017676,37.02245673169746,35.953980524543276,32.782627630660976,32.49793044197526,36.342240227427915,34.042368191839785,29.98491457420806,34.061281482954705,37.36195404351472,38.75152706981596,41.52638675918868,41.48323455030537,45.884992363955,44.60040853411165,40.732437952263076,44.826762559748346,47.049033648161895,44.445039721461775,44.42383211941705,50.09795327525344,49.603847046580725,45.56697002208139,48.33450923099965,52.8112277511465,51.40310230416228,48.3063378757403,44.01868334771254,48.44062685717053,44.904899771242874,43.48034767360037,38.928491662911895,37.45924934420214,32.618784331049106,34.858093894749004,37.18088617755088,41.029400989866325,41.183747936500325,40.65378390722063,36.555228083901326,38.45121917824245,34.226476151295955,31.373256100805243,32.13320003377099,32.27075617389069,28.89159797148345,28.120602475501656,28.240621566508555,25.92112321711789,23.16959884924094,23.606584392773883,24.473920199246564,21.763928727489013,19.951116124123104,18.58844553772395,19.92947657565437],[24.388783155748836,26.785129955538757,29.832040567530616,29.112870089062643,32.5854756859616,26.075515959604203,27.291122460037656,26.288767516999815,23.562806688216043,26.815910860931943,25.57380098441431,25.038682193250914,30.138993775319978,28.883641595432557,30.29727952718761,32.576011419130026,35.05857238418034,38.25973974815958,42.26525158825767,44.641459473224046,48.12592604667208,52.26416350621492,53.299821288638334,54.30402276565495,51.75535380212672,47.512682687281774,45.61499602640232,41.47113968512256,39.598974512820774,37.18016176902807,36.55811660135222,35.66812891240253,36.123459427596806,40.55214856340669,40.901951464841716,41.65595675228895,41.055157773086755,44.81201266975231,46.38058496616058,51.98322955286287,50.96348510665002,49.86211214636797,53.876243893339904,55.32220122985208,57.45762657352969,57.45089681639505,61.10937051921637,59.782678083317265,56.671159797710274,60.628388544906,61.483774230471305,61.74317753306461,61.387888518149175,56.51376015172573,58.54596010154032,62.18718481082837,59.07904344368038,55.72578489294461,59.870172732367216,62.18854686810976,57.1255451181946,56.181635828987005,52.66199134554093,54.98888626965226,54.75126289640813,50.733799171833475,47.250969070959066,43.16178423657681,41.638485600423344,37.2857974284988,37.71546878925501,38.460015686536394,38.976792124632304,43.67595902705105,42.06149530584746,47.20908115546303,47.831530532698274,48.545060052247365,49.29068756254291,52.19749216782741,50.07341485684395,51.868733483014836,48.897345355017215,51.39302937975911,49.9457043097179,46.77935079497889,47.98895323979506,45.96800598093863,45.9163449626848,45.26972409712546,42.935923664155005,43.84780700260183,39.692793308475025,36.69041702711333,33.38139745712601,31.179074669717277,28.686526354753973,30.66400687825468,28.58197674447674,27.225275607604328,33.12194462970625,33.309888880512645,37.73836524275675,37.43794189428067,43.25331462459479,39.90097761712774,42.457185826572115,43.87527972038699,40.43651031315962,37.92774924779231,34.71474289746386,35.69319195756885,31.673504794283296,34.76057121191152,33.31205898773425,36.02848863310042,37.763918162420424,40.707013497822025,42.28404723853095,38.24009212277619,36.48546229790406,33.56732155974232,35.03956921748631,33.107256976472115,30.628482073303626,34.989194058665454,32.3622675532557,36.72882541079936,38.9646192476131,42.13412784302562,44.33051204790031,47.30864456672563,49.296186723965135,47.55643607765554,46.42896025563875,42.52272223722877,43.06826501898324,41.78639125513109,40.94941317579515,42.182669742648535,44.98597282300042,48.42678599628353,45.43133457506862,43.26436929611749,45.06284123987566,41.29450418021488,39.349574674485666,36.25027591321958,35.403897561968755,30.96020320691391,30.726029073011848,26.147777184501674,27.656817784366698,22.09560061118163,23.63546047615678,27.89723159487903,29.19211029161904,31.935885093467867,33.990757204901506,36.78934320012164,40.27532459525168,41.68393035806091,43.44548748117107,46.5075978465793,49.65148899900916,49.557018806488024,51.431160842318384,54.59577611003699,52.21717917098866,48.82374082005583,47.80823398702707,45.27229418737387,46.66653141785305,45.75941744100767,44.657831209328705,43.34044783779984,40.53723835334309,44.649892016044724,46.91211218987521,47.85463888710405,49.262936289700654,44.86831708428761,50.381277025540555,53.74810696012983,53.311532926120535,56.804070959831705,55.782022226135275,59.98471720320357,57.15571817752232,57.77746767899145,56.32016246572552,54.369275947655844,56.085948830750944,53.93648087467556,53.738873761334006,53.8571394441335,49.30446148494325,49.165180002104066,46.4444584664682,43.02212955414507,44.47101205849391,40.72329013344483,38.73190291001613,41.01669247703511,40.7366262014256,36.07005296272736,37.093298264130304,39.03215309151289,36.45118884164689,32.81889219061237,34.98700907294092,35.1941073926951,30.639136016083437,31.085527484918302,34.63557851820159,36.96740817330379,38.56414816735279,43.64277298872501,42.55378708694149,43.28896516559222,48.41320691107098,50.80775460382239,52.47602973170408,50.85664052836505,51.29979823134691,52.97609906021688,50.46334562115366,55.406975143638306,55.45016482658907,50.49406938061306,52.87712585320432,57.47842784577479,54.59266732164771,52.50867549560027,55.99840215659554,57.639443866935316,53.74735483233018,52.76074210247005,48.5136576438012,48.387992614579,50.18428694560231,47.37170932725031,47.266297563340046,47.16538798597461,44.31619004931622,43.353762871310025,42.80979677118468,40.56285302800922,37.72207474993333,38.121022987483414,36.51622227367343,33.334120578255316,33.444194884566976,36.86259477921861,34.200297064516604,30.418626665651555,34.642186180508354,37.64318380603165,39.4147940540017,42.14562466779115,42.37912949925914,46.750784753733576,45.418405628337766,41.99614661540418,46.14567702193726,48.331150386682125,45.86771827984684,46.19765090441695,51.68717462844529,51.242254383188765,47.5275161391868,50.409509389140254,54.700840061634686,53.37091411213003,50.488208761423685,46.34312040615558,50.74610214881468,47.37490383490711,45.56079143196925,41.29544459487436,39.66418534068271,34.95235126366391,37.50615246164657,39.87867702813811,43.7453522332029,43.939789007158964,43.08924978635357,39.229858427075904,41.00494519109137,37.037809208897976,33.8123265108232,34.139218833318225,33.83185668196078,30.46253015979166,30.262684217506276,29.99967334261599,27.22273730430196,25.194726972311514,25.80231115968232,25.864802453941817,22.732700274746428,21.03528118673771,19.48802464605976,20.760557390088195],[25.64879634257736,28.417644094189512,31.984821515664215,31.343562811448646,35.39838447809054,29.18226224376207,30.781048721968435,30.19427119248913,27.52723371301206,30.786563341595826,29.74494872441406,29.49562774914253,34.41059367504835,32.892884749432106,34.57910332894339,36.96942210556253,39.21426867704378,42.44377048765334,46.23504717266943,48.810404346654565,52.208856592962306,56.434952855294554,57.32366421755551,58.19211425908113,55.732605206188886,51.42015913008717,49.626362481062515,45.49181057602379,43.83707388539756,41.588032086773,40.99534225811628,40.26598428178162,40.78204923499076,45.16852987862975,45.5038929231205,46.12678968807888,45.58682006983367,49.15709601967059,50.6153134731505,56.28352609713566,55.06743978518907,54.03673670144968,58.124694035865524,59.43054246637152,61.424626735794284,61.285153459932985,64.96871977628257,63.822624099897304,60.64864900968035,64.61936686566551,65.65158674634131,65.96205614817124,65.7097058605933,60.80488723457835,63.00799333872916,66.60313683843046,63.40394432434117,60.1723808872782,64.36965423866054,66.5620235911251,61.457979687927946,60.5745435990406,57.10047560702187,59.26752299707221,58.99920926118499,55.05551740333779,51.39078183147955,47.38525420470645,45.60687917657436,41.310101786472586,41.51900946413904,42.104501656802256,42.92470049759203,47.64794943814793,46.297952704299774,51.51097355742791,52.23609192453282,53.05475301585422,53.83763347530087,56.73320486127641,54.66588071497399,56.38056085469446,53.44397030288442,55.83390013522145,54.276685107777894,51.2134775981172,52.43137857498478,50.55532782747591,50.40216561978931,49.86731384911509,47.422481076678324,48.25202243190584,44.112988167647565,41.20592431023043,37.874637252687236,35.60680736823906,33.06735886804996,35.29333717163484,33.22881865366588,31.926028926520043,37.794690235587495,37.855238452328685,42.30275397529715,41.80315317033519,47.51539013229793,43.95924366956508,46.375692412219166,47.591914208577606,43.954873802201625,41.6932371570872,38.34006435472044,39.537106555652734,35.50742134514402,38.511963389559455,37.18360170829767,39.682123896619295,41.56727377923896,44.262120838658376,45.9806996111714,42.130467548316254,40.157315737169625,37.25947478723747,38.411195290557885,36.54704609887868,34.09226753257167,38.40864097169069,35.76421685871427,40.23054534567081,42.43778264004112,45.87383069361797,47.705507325274496,50.795595420504796,52.86733432849513,51.38736130254623,50.05443686967095,46.1368262395697,46.269184733914386,45.117228316200546,44.20439530462618,45.70645962373927,48.30536986269234,51.93346665675216,49.13561978435483,47.00772525825935,49.01640165558134,45.387501201707394,43.3179331109773,40.37988323672203,39.53827758733609,35.08544871924377,34.85036095684772,30.42769601320464,31.987507240858854,26.434858446488512,28.23281239194419,32.46368752917299,33.70365543253223,36.32506552674948,38.43453332070095,41.01564069438077,44.3397653612094,45.90684807308169,47.35730221266749,50.60133646617402,53.53125309661256,53.118593177815285,55.01284538552304,58.000811259033206,55.480556151985816,52.09656236316721,51.235114402295125,48.84928295940996,50.53674261664972,49.82267561837083,48.899939937211705,47.70043925720433,44.98890930735314,49.181184528060555,51.325813980084654,52.22507023840128,53.43195564210024,48.97050440446683,54.40649226755541,57.7228755680503,57.35704074297769,60.93383133963527,60.01351419376389,64.11066507040674,61.19791626644664,61.70814407104111,60.135012428127794,58.20576969598107,59.77896651071789,57.517679598845646,57.21580212845499,57.13949233661947,52.48891076576789,52.310736134636755,49.34191981839859,46.14254095422822,47.312422493009564,43.7254332420751,41.74095248905104,43.58561471572034,43.24616875720586,38.65809780804893,39.33781436904281,41.08497427780348,38.598043534131875,34.834132846633395,36.63289461446548,36.665944541110896,32.25080092721513,32.418403357575706,35.57076472698676,38.123782081416564,39.534857286601884,44.77594213517273,44.03758983907715,44.63371410697561,49.88524805798847,51.91258992376256,53.922101387118126,52.68187553264108,53.43276474063471,55.344332056608074,53.141733497709986,58.08366356842188,57.82300063274647,53.01422067165227,55.6699173519776,60.08652351716848,57.05274449551681,55.212802417816,58.872329851097376,60.17176893281552,56.17355860806564,55.62697229990292,51.2219601653953,51.54163504029769,53.266673742118414,50.29212374802247,50.42598098756555,50.18194600647354,47.63855396620828,46.51855225971472,45.62753217524769,43.61097849351511,40.89725234042637,40.867869904053606,39.12633929170974,36.00476115742205,35.874244094907716,39.000032974768565,36.23599075862481,32.37243695960328,36.305533924657254,39.207985149564244,41.101553621596665,44.1080528889837,44.72547423858429,48.9980101764454,47.24432231804483,44.02164891635515,48.433019852755216,50.266884609846926,47.67513562806834,48.37849501746515,53.769329665787595,52.93075840421586,49.351835446345,52.56546879848104,56.609966503323946,54.96877651140199,52.15149856630669,47.961469039664685,52.06493544669262,48.55960729888391,46.58053403567526,42.518919627482624,41.258028595616985,36.64484147708431,38.93451425754863,41.59633181786109,45.42344437572961,45.99222678532255,45.313849222016074,41.81912819146983,43.93484565931795,40.11972303980752,36.67200485858999,37.39715807385366,36.91084199324888,33.93006321314576,33.50946167805605,32.73099020566153,30.14389290185024,28.552222833491726,28.412456268245958,28.152042593954697,25.2631341990712,23.83237916980138,22.527045955913298,24.006937945864678],[26.421267500677978,29.257864756208885,32.63452031643958,32.62145970037395,36.3539474439926,29.98908771916008,31.660619699852855,30.618164206212676,28.370074211723725,31.91697658658622,30.818929430774062,30.036348002055703,35.23709613277007,34.2212747538334,35.61034852376177,37.757991445089495,40.33900962995527,43.60573795887979,47.70160662713428,49.97762041437824,53.52455883180135,57.608388204253714,58.71675681764444,59.736003191785954,57.12644761620127,52.9121105529119,50.910514988538125,46.743909961358135,44.827223071639374,42.24637682346289,41.73457951539407,40.55425138199982,40.882411962377404,45.382028208270775,45.80094220573448,46.75452903921407,45.943714758256945,49.91180471916033,51.467902475221564,56.94712355565885,56.08589781243697,55.12132324689976,59.089650344249954,60.558706749233046,62.770001178399355,62.730629982728196,66.38810837238688,65.00954125150817,61.821277515225844,65.69262414863228,66.54345147600112,66.68442240303808,66.35157403580155,61.51622605194699,63.43022012175284,67.20682598658775,64.22575703019577,60.781771417073415,64.88083237197813,67.35280533174918,62.35746091810974,61.373328650642186,57.797238493679096,60.25745751030866,60.06923432472744,55.99619434284162,52.63744554088542,48.50680131054936,47.097592412926026,42.7237827454298,43.20664939468718,43.922457537358746,44.37781352009521,49.08280003324182,47.354647022774415,52.370442978548546,53.004069201399204,53.53222237351048,54.28327510753783,57.199348694478466,54.9065338951426,56.70545273274633,53.503156629672745,55.988190563921194,54.7077773897584,51.60869609773432,53.00333550006571,50.79363105038398,50.99945040597752,50.156368780079355,48.001188480248906,48.87256256917326,44.72563339009608,41.6293057290698,38.471389926354135,36.251736894772904,33.92449481414709,35.536815125512334,33.35409048622015,31.43243421173751,37.588818960046794,37.334809523591666,42.083855209087204,41.454297913039866,47.241946893449494,43.80978803644305,45.98476242175424,47.42896784894694,43.89501074673689,41.495985593366456,38.464144749380246,39.93864167052197,36.15081548024578,39.46400149154282,38.35751575125789,41.112012497826996,43.00706916541841,45.9551699468392,47.703612975914005,43.646866640079814,41.89802840688777,38.91244596525676,40.23284415219121,38.156238017583156,35.47195372812877,39.58913624907595,36.488786277474134,40.907746955907854,42.86944662684636,46.088181698312034,48.10253840164646,50.914262397337026,53.21906920815229,51.510034458984094,50.60309940347263,46.86655893720262,47.18810587475194,46.288585007200965,45.66400286940309,47.057043127877286,50.014810633741774,53.570263354172376,50.65281983268239,48.373322834594404,50.16224718427857,46.3819143664583,44.37948264400436,41.16973058903962,40.05958088121798,35.58863701125568,34.894042203586295,30.38770272070924,31.315161521394757,25.58432140729423,27.652814932957643,31.99496971000135,33.69238776409983,36.158551594875405,38.60517210439423,41.121384582661605,44.84396255344616,46.53258467673141,48.32303723062369,51.382263965636916,54.3946095774634,54.31504420092222,55.9585362614482,59.117850168417874,56.541932230825765,53.29404434705756,52.207770954202914,49.86807243820436,51.25554058709045,50.32158798602937,49.25425996998396,47.75186449656666,45.162904748345184,49.02197053491379,51.47145064394559,52.203624362509714,53.74954844541767,49.09306691107435,54.50467212262996,57.86295814436962,57.7040080336464,61.294205038350434,60.478942273506256,64.6624083496819,62.05284863444238,62.48664563280484,60.92757053975216,58.794253736541556,60.343379416318,58.06288704278072,57.65568009869607,57.532135410132874,52.96069596804742,52.51454705449622,49.562028380229016,46.179433752288205,47.10881660599447,43.34244612510384,41.689467760571546,43.6299572128225,42.91156346936058,38.43858574869712,39.67411644955639,41.05455924292428,38.084005488770806,34.86586109412625,36.7873190746648,36.45874380346393,32.04820220827258,32.7795445529032,35.77707128738273,38.49179524261915,39.37729559977004,45.092558799569076,44.06500868576209,44.34305626111943,49.46549130736652,51.32845722183579,53.28800729004236,51.7966510995781,52.638214937694386,54.40889916174848,52.260291947905934,57.235789520898926,57.13749160635126,52.562921997881766,55.1255194864048,59.64304309082344,56.84229853995315,55.0554835376876,58.710413970409796,60.208588860027106,56.34395483519659,55.85483323904499,51.30558663429679,51.338388125594925,52.832948903281796,49.642319492218185,49.531099598515844,48.953175045613406,46.50879550854764,45.73240658449008,44.53229797942293,42.28476601336718,39.93575390615343,40.02873857365576,37.89640517878443,34.791153080951275,35.06756107352705,37.88407235644492,34.88223975854752,31.34510001431123,35.44648698622089,38.08536235880033,40.245581158941114,43.08130230789611,43.800311167899,48.04288160458727,46.41226670619657,43.53829689244236,47.866002078218415,49.78291243720904,47.38705063280008,48.25919063165058,53.484822475527416,52.853030043520974,49.539507867165284,52.70724170833515,56.6545170963635,55.22633307590747,52.599131398987986,48.59002482558566,52.78829365236232,49.52802132784755,47.263172331184215,43.411447098665704,41.83577853484221,37.34526025421492,40.03159726750499,42.584135478974886,46.4202603447081,46.859524278942835,45.809682202110096,42.42236201013017,44.293222699772805,40.6923419469128,37.00828826967077,37.225652906668905,36.415168148641634,33.38498030950543,33.504355529184146,32.567505348488474,29.584487723083235,28.50006995621089,28.738339805589355,27.915398274751773,24.66247216490415,23.29561470393929,21.838191140904765,23.18306863616644],[24.259308530361857,27.251508451421678,30.66185167592637,31.28100484903094,35.01663882592139,28.818049371436523,30.88229851987088,29.84941607445181,28.16778927521299,32.08942373300095,31.353846063165072,30.399111092691772,35.52350247725969,34.86757344519924,36.49973524424916,38.40856374831418,40.90270546097049,44.42811556973181,48.653938117557786,50.72592270445197,54.44099089518082,58.40661938537182,59.65086943265807,60.59150492570073,57.78883844800282,53.63849916437594,51.3773675306602,47.172353817799234,45.32304250025018,42.606840942473006,42.678707459856184,41.03512880853137,41.61090132125501,46.26071905149014,46.400779589351586,47.37637273596912,46.186974775234845,50.229061164181985,51.63089986724977,56.93886265154954,56.213330172361914,55.60893341311774,59.53539089698543,60.91881914195862,63.24129462685006,63.08772106159534,66.74145496161057,65.30061354184892,61.9319310302618,65.65181612169992,66.57899811670586,66.5559171290637,66.35842052728918,61.555352254238535,63.498514178563056,67.45020425881387,64.60992297602775,61.1853366871688,65.32961815761426,67.90641986652365,63.059794666852305,62.29340326306166,58.76543960859275,61.454462406883515,61.0658187989699,56.85735565863935,53.79207188447625,49.600356155222684,48.356213803094796,44.06448213761417,44.653287864791906,45.6764713368086,46.01263575082537,50.63505362565011,48.70462186216554,53.79776460549759,54.07077455744415,54.60953640032113,55.082673194453555,57.802619563200224,55.224270497452935,56.78965749675086,53.33658496905822,55.639934887748005,54.4446082393428,51.56148828700429,53.29385195257369,51.07341490243096,51.651696752047656,50.97370372115386,49.05960891199941,50.26037607052185,46.09464906463394,42.85319948166533,39.55009866198884,37.632651127911046,35.13334231646275,36.312494432087426,33.804183461918306,31.48069377372974,37.66291491133411,36.78272945694395,41.74141378515315,40.603036563060904,46.233843478193684,42.62300643591151,44.460390130794465,45.82254810506471,42.1938466005803,39.95942359272649,37.043870286379224,38.97060292622514,35.446202256256726,38.978170659014566,38.36640791976575,41.163620595145076,43.3367730356721,46.307634541716546,48.47490233466361,44.415041016557005,42.67389191252372,39.511543904072425,40.570661422221185,38.21746118581431,35.23463785363511,38.994974318290595,35.40463172333468,39.82914583412178,41.51934145503267,44.79336277534347,46.59645608133231,49.26939409355205,51.82851115919785,50.209589200852456,49.458548421027196,45.91252514908267,46.026316969186404,45.53601979984637,45.208224385884826,46.75877710324616,49.99721849089157,53.68345074114602,50.90190937813834,48.41871160923746,50.206842273591015,46.47092704275779,44.33987035694819,41.039850643412414,39.60641459116896,35.13936499039385,34.01751520432652,29.73105793809535,30.34714381423765,24.706734649921888,27.349640751059297,31.582363125048648,33.46404134449791,35.52124588172292,38.36045349263032,40.390038599835634,44.231322843576706,46.327428931179384,48.02456064304916,51.12197471801477,53.883868578249206,53.81260322718545,55.159036066587504,58.31210421980513,55.53943134418851,52.47363453588506,51.28802661753125,49.178665413124946,50.57216871990665,49.6713674005422,48.743368895415784,47.16013623253815,44.901976778461425,48.61141898386086,51.06498261163429,51.546112858235055,53.0578608236426,48.142612764257,53.40608705382698,56.72256535263135,56.8486521531738,60.56396173007714,60.04013458650802,64.12841804714623,61.77178347147283,61.91839073025234,60.22118154273474,57.8986111942218,59.24967452981468,56.83717384430954,56.23160544297865,55.89457346370975,51.3309133289792,50.64251846590956,47.54005221966591,44.20411436121652,44.77796849452759,41.037308414145734,39.60666422514592,41.31480341462722,40.33103747776492,36.006556453069116,37.42072441339581,38.43973259756778,35.25464250066798,32.33139967634787,34.15640093871639,33.53380622220334,29.223069961532747,30.22409811529626,32.95152253088927,35.81991058559858,36.303582621283326,42.33167037648019,41.23381164307618,41.27392250938641,46.34622748702777,48.00887478635454,50.04022718613316,48.58245386091761,49.589294712143946,51.40903533119438,49.458655764980605,54.429160547809325,54.23619259192997,49.87113145630808,52.53380123825656,56.978619337550604,54.236135760592475,52.627208218383224,56.37318646353798,57.78621484847637,53.965769353309035,53.785908145584315,49.054331699210564,49.19899048439164,50.50100390113755,47.10522198631917,47.05388011038074,46.26529584409628,44.09211065331727,43.32613821318611,41.77644998996313,39.632312745527194,37.507320499524845,37.35607122716021,35.01600786561486,31.980449489338625,32.26823183929794,34.789384382014504,31.688352929191016,28.25880606545949,32.26687450099545,34.74821784816019,37.042650850841895,39.90625359712179,40.84023603761437,45.000692684530094,43.24129349191311,40.62984850300215,45.01470949615335,46.80360628683863,44.47070416529067,45.60298636491761,50.66093826551361,49.98806434022929,46.914557861338665,50.18520305224173,53.9392982678607,52.53254464176327,50.07614505383698,46.208148839537024,50.34715535804868,47.26065752307555,44.72303004487535,41.13236419873485,39.45129478550603,35.1410940404682,38.03682289688272,40.58939189825883,44.38625545577435,44.88299311183969,43.62011643747974,40.55323143134264,42.433299880789875,39.153457615415206,35.149243701964714,35.28974866990545,34.1623185469054,31.449303410074748,31.71613067532092,30.323037665573505,27.275905522500235,26.84865250235217,26.826944267742775,25.435090055973927,22.184224688306458,21.081291353690617,19.818913887228824,21.316292221783094],[21.43969608595765,24.36744472025929,27.96193813392113,28.010651352766235,32.06039197274946,25.964564303692274,28.043332843541297,27.48880041782914,25.49472699828375,29.272508100526384,28.7276277295433,28.277159002701286,33.08965861710026,32.04383890861792,34.095090252222796,36.17190434879335,38.28136673220152,41.88345273457773,45.86131639141351,48.162109758675705,51.799229263861974,55.87023307161755,56.94595384443578,57.703061086773914,54.97297703870661,50.74093765245134,48.587959740822654,44.39014599655493,42.8326935455069,40.41561800736515,40.63727344764733,39.30229118883361,40.202884120826646,44.80016648998902,44.72388569938205,45.33599374121834,44.30201313798077,47.9394192989296,49.18592956038458,54.654169462361295,53.59203683560006,53.041609441040684,57.08764631302838,58.27321249292453,60.41758002554649,60.12679359349074,63.815950228385475,62.58493290401159,59.164128970551765,62.945983970898,64.0848170520786,64.19221549724409,64.12173115410322,59.24403362460375,61.518676815308226,65.33612177244281,62.30246860914687,59.11149097583787,63.388293951263876,65.69874672055487,60.785099780349725,60.21789272775216,56.81880006498265,59.290829851526865,58.72600281503159,54.59241987838526,51.32420408662239,47.22829404082919,45.67281471474671,41.489900035250876,41.855398991598356,42.907746781353886,43.54713359203224,48.15310846393478,46.51911672928347,51.87579554102034,52.08009195784904,52.95289655541415,53.34007748814195,55.96058611244713,53.524146571253254,54.91196192232674,51.672423940937406,53.814564683332975,52.330935280042404,49.547675694648035,51.203857604085314,49.35213631354657,49.66855973783235,49.410631515816625,47.26669801494305,48.579436779642386,44.404370708876634,41.29955231949627,37.71945616596054,35.888457889337985,33.0587206910407,34.73604043817443,32.215660826999866,30.472274793346518,36.34411525746989,35.63699089265271,40.31326043051812,39.180739102118096,44.70532323401246,40.89789424944006,42.9650071664725,44.05766745917277,40.28892237067063,38.21889689014093,34.94290735366132,36.654827487964525,32.906425804816294,36.18970859056246,35.487624399869254,38.05797317824402,40.319718055156244,43.06406839709218,45.35777026248395,41.487244519702394,39.52543002168515,36.36818029667886,37.182362317349394,34.92927072602765,32.06371406750769,35.954434491438484,32.70535337295279,37.20607160297788,39.12144781719127,42.6505948176436,44.2397360749079,47.202720381522084,49.55037056094623,48.185184887702434,47.0013463100547,43.28656840790868,43.18270825465198,42.50686777773184,41.963269672708144,43.65750161926318,46.64177305350104,50.44106071498723,47.8057278203063,45.400952290711885,47.414505853363565,43.836429193009096,41.587715716893854,38.531098875885704,37.286839634423444,32.81590073000783,32.0937356457396,27.931127919727345,29.240401608495585,23.812783445071048,26.30018136709288,30.38644229902113,31.78603818206885,33.914618669364444,36.49146206795074,38.465430401172156,41.90945865730762,43.99352756378748,45.31028367062448,48.62085210047798,51.23977079415916,50.8359784827729,52.37485894420873,55.36908779592019,52.61289523551191,49.435157696467975,48.4450617043416,46.323696260344995,48.02831533579155,47.36582841907106,46.62866156426585,45.36050076390017,43.05112201657602,47.11508957138716,49.221897823718294,49.82635258215781,50.95115032852385,46.177282821187326,51.45359866957297,54.72516390781939,54.680914084777875,58.41814725707148,57.85151108763618,61.83070466246333,59.21214666828164,59.36731616224095,57.620982863477785,55.46785860661125,56.81050081331487,54.393569884134216,53.87162582617637,53.56372737985793,48.906176829635854,48.47691757586213,45.346579672589414,42.1865560775767,43.02397008197619,39.46284112086313,37.66205978094843,39.29126555770472,38.725426031154164,34.24193305707003,35.09031837943177,36.53007362665936,33.8678091635381,30.31243219410185,32.06761712438672,31.878631913559463,27.49906984964563,27.92097447541748,30.9269812096577,33.59795054366228,34.714310461506756,40.21569463396059,39.36193113969909,39.78982706674991,45.01019812683212,46.95495365131274,48.97525876565131,47.744187963487484,48.59727369119744,50.56038569335487,48.50866022789524,53.45039148121719,53.09662540690847,48.434272163764454,51.18925933152459,55.54380101380792,52.547931678214695,50.85724011668813,54.607782298129926,55.8331634724312,51.87184106794218,51.606826284045404,47.014452014696715,47.45357449141579,49.01290429696754,45.859828937005446,46.08887896194268,45.71039794902774,43.40492651011818,42.22183258957537,41.05612951450378,39.185298007560576,36.59513517953414,36.310920271754576,34.459142019191326,31.38547454953554,31.18460960892779,34.1404494392359,31.34874976657508,27.486303405601326,31.356589088307032,34.205501224600525,36.15080326860141,39.192216245497875,39.951107250068006,44.17378881044183,42.32149622109629,39.25237866928537,43.719371611036486,45.465528519845975,42.9171884647853,43.81341175413865,49.087507616018804,48.23962073769268,44.84270795054378,48.13354494505716,52.03660628896141,50.444558065770785,47.76929168063628,43.70471732199917,47.81789945641771,44.49667964597293,42.26003003203755,38.396670549836315,36.96131215542703,32.48065203690473,35.05066873758778,37.687105135895564,41.504068149685644,42.08695042930762,41.165218766185994,37.95375931776098,40.07933759641608,36.579631024705094,32.776914150858865,33.45719443526491,32.68334707393944,30.026033429444414,29.68290544793064,28.4481974673564,25.83070633129404,24.83800123879764,24.392703409527904,23.626316972191404,20.758760467127225,19.567858177044428,18.48136371632304,20.228947776273618],[19.640369016683373,22.14264721873542,25.238034271764207,25.098958608365812,28.650295548603083,22.262604326517057,24.02881958570599,23.198427597375677,21.151902755040354,24.974437320969862,24.377612212866637,23.776845590996626,28.64678370005621,27.802865236922916,29.770974430659752,31.742320647041694,33.93820312159464,37.57284404179772,41.68777151676968,43.8382309691043,47.548681820953924,51.549561381961205,52.726847845730454,53.54927550561091,50.736499519256945,46.55766902233473,44.307380723882304,40.100392584183396,38.43532974343841,35.92841970998911,36.265576611547296,34.79794011781541,35.78206558523522,40.41223841193621,40.24176108711624,40.87045147809134,39.7687441412043,43.470977747068424,44.75529760026592,50.188597249059356,49.23106930658126,48.67278437069206,52.67707172777097,53.92629285628515,56.163248734695316,55.94642486884606,59.61798351594863,58.27021104064627,54.87559594140457,58.64893118080259,59.690358510453514,59.769562713812334,59.653878073727306,54.78429866922423,56.99748559506056,60.83768937968688,57.85055834152819,54.61565527198648,58.883193568930444,61.245515277461294,56.37133617344912,55.828800878410284,52.43576886798599,55.01522074122895,54.40742247756303,50.21784302064268,47.10137363985395,42.95923398220075,41.57503135706175,37.40027358873163,37.91609759833908,39.159376915475896,39.59327538362363,44.14230071771941,42.33163182676197,47.695195750537785,47.738316171890794,48.6102118311849,48.90091470733925,51.4740491877974,48.991764199545074,50.37388850062529,47.130937903281314,49.30624236217722,47.85296120836335,45.02605859104096,46.697169508438854,44.81656954643892,45.20291746292032,44.98781636182334,42.92016063192472,44.38348011046139,40.20654811303318,37.0477023515561,33.396658981561906,31.722443263384598,28.817585278775407,30.321489093675165,27.720993412409026,26.02674391372649,31.825518189042807,31.176615927055966,35.79207715351621,34.770217769641796,40.35542443285175,36.655177901519814,38.89191766170634,40.10256301900587,36.46588143646252,34.20533724156027,30.961426549959153,32.46078497420507,28.677534576516365,32.01535594477351,31.245169053722528,33.96792166851499,36.154112179934124,39.07095822147373,41.319257280548086,37.32947157544498,35.51263312510854,32.315012653762864,33.321585015148806,30.990742314728415,28.08377854118664,32.01677083300917,28.80448028432737,33.24955433604079,35.234660672944365,38.593039498058886,40.464626946866154,43.393985247514486,45.62987543977791,44.087721702394454,42.99522960778062,39.25401736422371,39.47246094476317,38.658516528380865,38.16030659329862,39.65527929327679,42.79833103766217,46.467622533895366,43.70096100820933,41.255717778805725,43.134311463048554,39.47367895017964,37.28966135348808,34.13270958301194,32.88627652093297,28.40847974976478,27.73180392852562,23.47075733335421,24.900148403227973,19.51854355456317,21.854135307120803,25.905328190399043,27.24489297046523,29.441726423911422,31.961593294753058,34.05394519748822,37.56517760354473,39.55375814201595,41.047390297858364,44.2541399564249,47.01159603074545,46.819897490847886,48.36499391969662,51.489189716043036,48.853108074113244,45.64685011163281,44.55001063243914,42.29924918528212,43.81229644983112,43.03458377724368,42.196859307926054,40.894408592511425,38.52634110504214,42.60052943068823,44.72154053655885,45.37170304465734,46.576346963638464,41.867320657314046,47.21597928589147,50.52494946740524,50.39581148363904,54.076114603211224,53.43304405087093,57.47498092549008,54.88630722218675,55.1213803046161,53.455712910118365,51.30709852194965,52.77113717970717,50.44403660774057,50.02810975124612,49.90031079016461,45.302061477456974,44.96207513992979,42.0509833425244,38.711080884064636,39.876732208052196,36.1936413039505,34.29285529734398,36.3357367070151,35.92635564708309,31.313395262428582,32.376021868289676,34.110186141624936,31.476180475157292,27.893102598838013,30.017741007027517,30.117185667978063,25.574390293388177,26.15075696916717,29.639872292036742,32.024361380962176,33.48747501106451,38.68179117292139,37.53109437392352,38.195655261662296,43.32060568901971,45.69879644797919,47.37666992851984,45.82454946556057,46.33540585124429,48.10582820548376,45.72586407309632,50.66892576581428,50.567528297436404,45.6843963083845,48.20355961359755,52.719430117659925,49.80140408407161,47.85396425456642,51.451223675055545,52.960012954796404,49.061228192744316,48.35704035950983,43.93749716738779,44.023878226596665,45.714134240229995,42.76673395795871,42.840053003795695,42.70112559383548,40.069445429611825,38.92317819128372,38.18343742838396,36.159689834443746,33.317674436035915,33.411325902035735,31.817259352271456,28.66487352771442,28.5756579100986,31.948648536597496,29.340165915892353,25.44615913434383,29.584182790253823,32.62715610891634,34.35691057390472,37.16441461094646,37.49526916583172,41.83731264238516,40.38001982073413,36.99364874962965,41.225506094748546,43.31127232648021,40.837220232747235,41.30446147226082,46.73306748944874,46.23226150620915,42.6216705546462,45.5920911778775,49.77685248365893,48.44578931287532,45.65392741296739,41.587576824431814,45.99283591341935,42.75196178814191,40.75390307310909,36.62536062009647,34.87092010381861,30.247412530152648,33.01535830091776,35.37839275608252,39.24113752429965,39.472636519856486,38.454861904101335,34.84747703352748,36.703698999943555,33.00500434534528,29.436570471395537,29.85877908902538,29.335623870001733,26.311242565589232,26.028264812259142,25.322656731052117,22.60313893745699,21.043759408004583,21.23482390543469,20.947113151586894,17.901386030405085,16.403681885064877,15.119010224641327,16.828958712374018],[17.51719991886173,19.86387928290439,23.173824365314097,22.26482658845502,26.255575683317726,20.128104730124203,21.925000459387586,21.823964642801066,19.395195559538323,22.958900198325523,22.671262124722325,22.802989521053906,27.14084367075052,25.7663099539329,28.308507120794037,30.47637360686287,32.125931915773954,35.84266838219772,39.6040209681189,42.04246171279608,45.63759897835027,49.756051424106836,50.71615252493278,51.29898640512103,48.58473258021483,44.31172812487478,42.20552429724204,38.025473095746946,36.76258352118786,34.66568528043551,35.20460806587223,34.1398450419725,35.513617696313304,40.02276555707659,39.59058457010927,39.76257552415359,38.85585039000723,42.01867092315831,43.08909842789026,48.69017062393585,47.31505787174678,46.844139097917115,50.98307432880076,51.97256597188045,53.97742391512816,53.57787328379951,57.2843342469599,56.20882742230872,52.75012210512591,56.58303348252538,57.89589498952017,58.12387034799341,58.1747746997043,53.23457131195634,55.84661759833563,59.515737927687816,56.30897437039143,53.3741577516727,57.78438848708244,59.8204139542957,54.8848734825686,54.58883659049065,51.368018437847674,53.671562665003414,52.85165152116596,48.77213594409356,45.41631503836384,41.41993779010743,39.63973673259697,35.63422011975277,35.84792391948297,37.11751408540902,37.950733443895714,42.45045871717193,41.0326780366449,46.680850504046774,46.64487527920383,47.91338340532792,48.09986317383986,50.53506018946249,48.23203694692874,49.382594842630645,46.409981907546666,48.36298496952193,46.56669508357352,43.89571489862045,45.47504205820788,44.06220178301111,44.13318610865516,44.43145733207863,42.104620956637305,43.686330325202185,39.53778985768184,36.58381647531457,32.640444014696044,31.09773544321402,27.818987061069635,29.937195832442395,27.37034235115651,26.433014189443867,31.716795088310736,31.25846037292925,35.46436844288787,34.42779035489745,39.79417727108475,35.873482727103756,38.329336080910146,39.17800567271657,35.38775795660416,33.39367650776153,29.737322377980036,30.978617996124978,26.956566473899922,29.92669798777386,29.068654304878315,31.45345738169214,33.77116629652563,36.36093482159895,38.79421436848155,35.08019779110898,32.963777491048425,29.78123875115418,30.41666549012168,28.223890480762087,25.483590937397867,29.557160847522756,26.814429999395237,31.324906214325036,33.565704256160615,37.23927083756446,38.78545102687264,42.05088243728154,44.03500670193887,42.841042612655556,41.21366372577166,37.292387530307934,37.18633046679462,36.16716451546153,35.39502587370835,37.10116989482689,39.90265878272261,43.732864958175675,41.17928630976566,38.836573040196136,41.01272874492842,37.58446969522763,35.246705378774564,32.4402573620002,31.440859088972402,27.0166738352038,26.862600009353987,22.892904677395535,25.159451851328757,20.27236104984258,22.341090614263415,26.063569230499525,26.761684290868587,28.977411359789613,31.14051529583237,33.095263640422345,36.05745038115299,38.04484444545172,39.01764151304504,42.49281804284736,45.03054040175903,44.3980694601187,46.16555604894676,49.06759014270529,46.43805676456142,43.11015414473018,42.272080253744434,40.039444243209466,41.96253134253093,41.50374970683077,40.92923546793651,40.02969510722314,37.64360040900727,42.10340192876249,43.783267133964586,44.56062937155749,45.27196300486486,40.752987368241655,46.0616646744016,49.28844206094892,48.978483049712096,52.6789363663504,52.00869618422221,55.892465778737574,53.005970843948155,53.22802819370885,51.491596785670595,49.54738414152508,50.97311349135453,48.63114635213047,48.296453343106386,48.17485357136701,43.48154769018285,43.44169718438937,40.48678820707876,37.417137544431284,38.83895961131209,35.4348038782548,33.12493360138292,34.987508464934976,35.065051940390795,30.353297683689117,30.67087929187122,32.86099522776766,30.89687496473953,26.625152052981004,28.579678851311492,29.16899679682058,24.679267382524497,24.505640551812036,28.211553766032175,30.339067481774567,32.48722235321047,37.022561998140155,36.20682926307856,37.28178656663093,42.521414053147616,45.12922376269635,46.82584986775684,45.58856955991706,45.97421696566477,47.91717032384338,45.501064018751066,50.36548041906416,50.043120585934744,44.89838031556315,47.536674561360975,51.88877008677147,48.69091840111645,46.70132278619928,50.30467360207296,51.54233792510081,47.493670824382846,46.75791831914095,42.51000730437241,42.99764446127075,44.954001117304834,42.28514308735617,42.70858090960281,42.999636696755516,40.30856586347895,38.687644466323746,38.33147813276362,36.68065805384534,33.39744604469505,33.27069494555208,32.233765052559946,29.129911780166005,28.4535758209109,32.18520166754994,29.959271398837704,25.700078911239196,29.517535063446417,32.87234207752282,34.20853560886004,37.20060670712166,37.39397878991316,41.7247075314578,40.122906035039804,36.30893652262664,40.61169823480192,42.57500726409111,39.87224098417211,40.11775714710989,45.722460064771916,44.97846427975346,41.05345553192165,44.06437907036364,48.35189756302896,46.78344660704541,43.77123355402262,39.50414307711075,43.812137005946326,40.30889018901023,38.66120660406135,34.27265528045942,32.86896399193942,28.106759975729425,30.411368454251303,32.882681080376045,36.73478571172622,37.10747162027361,36.52736552021064,32.82212507544942,35.00210459830551,31.08898291477041,27.79445614581168,28.935306893924214,28.8274970637943,26.002982140826095,24.934118495873182,24.383120455080356,22.31200269636484,20.138831905578186,19.669543220881277,20.186449670855577,17.80907034384907,16.32249640906502,15.429864053673253,17.35853800361901],[16.736925942999694,18.38987958756913,21.107777186330935,19.53991758403269,23.08532192264064,16.803529473801525,18.117617651324824,18.078940514654843,15.265987394632363,18.662644858739164,18.430057730827393,18.82779258586422,22.93152612484262,21.460238617091033,24.17352450912479,26.347303271397504,27.83392478966016,31.593206307954173,35.32622060338362,37.759562501968425,41.361928535408296,45.47334799006101,46.43049441575533,46.98995029092591,44.25518229581547,39.98616954219703,37.8717912851545,33.69412422339149,32.488466970696344,30.505257078969933,31.188224066321816,30.23302982633283,31.837933617435645,36.28254559664242,35.6722272608045,35.65382166743614,34.814295340218884,37.79044832735552,38.82737771322749,44.48407003726389,43.02367122776087,42.535695695332066,46.69554676178348,47.65556054477163,49.646732642932676,49.26142199796011,52.97076362235666,51.89374609132276,48.4565349026326,52.323950614465126,53.63702352181206,53.91612094081944,53.97065226036945,49.00866532240348,51.713629789660835,55.3133767944259,52.048481646765296,49.19086005793933,53.639442226916714,55.584510559635426,50.646195138159406,50.44910987014224,47.30256337990917,49.57143343127512,48.64529786919777,44.57165613671574,41.237141780345645,37.26533788670708,35.47183040700033,31.544657895264617,31.770371729269737,33.223430832694156,34.025756148862875,38.444532301256935,37.03897103668678,42.79745208498749,42.60534498273561,44.03597315186628,44.11427156217649,46.46389967133016,44.226701136797246,45.30301367665073,42.479512683224826,44.39276942848122,42.47378097025064,39.798585952026926,41.30810959124472,40.07057936937738,40.03061149550344,40.57251589774596,38.19035206771287,39.934217864464465,35.81595434842507,32.92999691017804,28.816112290139205,27.48098847121819,23.980696093928987,26.25189080778569,23.6816130694123,23.253116525755615,28.126237804411847,27.91017646267965,31.79421599599913,30.94513102569471,36.261760177023305,32.40560185569991,35.15924671229534,35.981392233963426,32.30895399512429,30.22850171448841,26.442447117836483,27.24657258344529,23.047728265236135,25.852205839845297,24.790988822999708,27.184263582598483,29.442216382011324,32.07547580282107,34.48940228354369,30.764140685255164,28.663748769557184,25.457428519096776,26.178100233669205,23.999483578945316,21.33983255582588,25.594119712225066,23.217334545023686,27.666323369789943,30.127095014536845,33.7247221604809,35.45063931149492,38.81962913541721,40.54291232224397,39.30338200708457,37.53204069315959,33.4907733211118,33.62078256125867,32.30473306591038,31.41548343475761,32.97162055583461,35.75759088284381,39.502513437925266,36.87757247152909,34.562118699523204,36.72612973582904,33.30538090747286,30.984481873080764,28.245637597607214,27.413867400784472,23.024438084331116,23.260565447875088,19.35071121434804,22.192887698164338,17.767878144744124,19.353665459397096,22.790169950338324,23.054193217552175,25.39225105258773,27.243548973677004,29.322162123723704,32.074683437270174,33.8962547932733,34.83850863633947,38.31517237437981,40.93702147556096,40.34103623362007,42.24705284538721,45.19153193604499,42.7188594136418,39.29106709404457,38.46426851221637,36.072428881212346,37.96535310179958,37.51852742781328,36.93430083643921,36.18838192434199,33.696333885525654,38.339610795941475,39.838629080785125,40.74735249869339,41.33520883275515,37.01212425392719,42.380316578572085,45.60804529262013,45.10270988260816,48.73038699656078,47.93404856002052,51.82658646675909,48.820467468996924,49.155150216477395,47.49231813243776,45.66435022397337,47.2205521406,44.98470931768826,44.81516903984999,44.904777485047035,40.25630966296788,40.459295158615916,37.74944481147858,34.626176727452325,36.51061329509388,33.13345195591776,30.559477151113335,32.77676222304608,33.229847898573595,28.41760705025627,28.625091573098903,31.294184115889575,29.674034791837617,25.18781001546543,27.403554692767447,28.466540546473617,23.973442103764285,23.64586382049404,27.803158317041365,29.495228018117672,32.193263240242295,36.10176177429573,35.14469169243118,36.587608791208616,41.70628893191938,44.76752737608243,46.13756662434902,44.72557699280527,44.737088711044855,46.53674953112689,43.80857686857497,48.60317388980074,48.45097218448703,43.028570811770834,45.45110227742164,49.87234575130132,46.66438457202709,44.40869054037188,47.82984073679827,49.24331334094867,45.223377741846775,44.0135532668161,40.05600427517392,40.33118319383489,42.524286872641575,40.20749858839934,40.5995494722201,41.29493340747079,38.27505166740852,36.52955560489695,36.77030989938854,35.125061629728044,31.465637648815644,31.653034122083678,31.11109019936066,28.02041218837205,27.249963092215,31.438851431196714,29.574439932797812,25.28615462400976,29.12617868766574,32.687730136641505,33.66080548230482,36.44338365147831,36.170309981088096,40.55275086644544,39.298491363809596,35.075884497292165,39.11212189984366,41.339211912609834,38.65466554915491,38.381806673977295,44.15345658363836,43.660936470072336,39.441892975144135,42.11573217369371,46.690245373386304,45.29698452441536,42.10644726521201,37.79600178150684,42.30774053003387,38.80698115518242,37.56679888183057,32.866828135347674,31.316335666055267,26.43115144231863,28.67918790279555,30.868871309742882,34.71544039434295,34.77406816377653,34.30154165862227,30.149774238121996,32.15562956866289,27.930057178382587,25.10815708987367,26.278997063307173,26.657977718565817,23.557143418531112,22.198442750579613,22.378630271718123,20.567426243707295,17.45823021703927,17.461165078393076,18.936086902538822,16.795799003074002,15.04023236892118,14.189724114770147,15.89941260517665],[20.29513368428558,21.604915663492473,24.102744464303186,21.583705240584607,24.94890278913367,18.878261311639736,19.38508299838887,19.477340681777918,15.728620978878277,18.140664180707542,17.34130549134707,18.319056680628613,22.252787518434793,19.99955058738751,22.497785910951116,25.107254227549376,26.52975296818384,29.89550269117859,33.318090933141335,36.13255231677303,39.457468136033604,43.76266999393474,44.47278923729887,45.07432998114013,42.63670595992029,38.25718480508584,36.56740652657444,32.478025497644055,31.296094291438195,29.6642553107243,29.55276040489194,29.419777041565833,30.80167687198724,34.96541952815757,34.641208039416234,34.43700037520865,34.20699188291732,36.88823830158347,38.0803172021115,43.97922161160413,42.231313282198386,41.255160058920595,45.492548596410465,46.49817743846133,48.26783577483004,47.997443283088316,51.70658967768897,50.78742243688432,47.60347390131717,51.676661030041025,52.93782199433163,53.47632625948178,53.388847070697835,48.395649086897,51.14737741589298,54.451410222414594,50.951574826422785,48.1622313535841,52.577777582201186,54.2885176987016,49.146868305784146,48.74013477844033,45.59115321365593,47.47228481681493,46.73879138488911,42.883207550956946,39.07602284994715,35.234777372296,33.07285032406316,29.07438032166009,29.042493072974803,30.09517837715468,31.210167484626567,35.74304715867347,34.74617475295173,40.51826486514663,40.76264496147647,42.31753455315039,42.71980754829123,45.274796675232,43.48455322772564,44.80163721711963,42.41800366931829,44.502291386728736,42.39872533163639,39.48910222830152,40.48506382138903,39.41140127966539,38.76079734112487,39.25255568971088,36.466328160589775,37.82721355118844,33.74705503891946,31.142258823991803,27.12043292524935,25.426057933615027,22.00994519821476,25.166480246122678,23.134880793730407,23.576867796964894,28.117558379869564,28.850988280109068,32.23904722886582,32.1280348338813,37.49485236947137,33.93594650281651,37.123878053104974,37.978259334518285,34.51637152052185,32.31456685778007,28.44141632066926,28.48242408273904,23.98204459832417,26.236051762696842,24.345636651982524,26.53412779591001,28.3329293691618,30.828093655227875,32.62619781113026,28.986416989080528,26.79019464222359,23.89230739818186,24.9642958851124,23.338192852529335,21.33497657488398,26.092614070311132,24.71873039746074,28.97919451440105,31.809887897531404,35.268955261678,37.20086329320587,40.73691283465211,42.02740277066329,40.746908169669,38.69287686292604,34.42808199086328,34.81565026494951,32.86362019059952,31.472234897416783,32.78525881810588,35.026052552267195,38.56650030436683,35.80084978306315,33.84238279064988,36.05608568620493,32.66361086654753,30.53544316216542,28.080183875236166,27.84515353081883,23.610108337483975,24.638255622993874,20.64901359102159,23.977973692120056,19.77657642827812,20.372301012286176,23.724199387098835,23.52414662512897,26.407088442774253,27.51590192429008,30.239537235054538,32.620299213208725,33.79150377196121,34.734912554407835,38.167913200654745,41.07410474143288,40.38589320344544,42.745593200599835,45.6193996580672,43.4697816300623,39.80712656791501,39.18794295424344,36.496654990040454,38.42853157328594,38.008107670417864,37.29057833208886,36.769275687976744,33.83930485259516,38.723133016358254,40.08286917792922,41.3593505805628,41.87391807355184,38.033372152280556,43.50707704678449,46.727674169748724,45.79425933661293,49.21603672458447,48.016625617977574,51.96947659176432,48.5738302832289,49.302697930306884,47.83759091167745,46.33788166628181,48.14256905689696,46.11992198245442,46.24417379249349,46.62956931330975,42.04711486829575,42.62598879871061,40.177919697990184,37.11082571455028,39.44375711587796,36.160526437700376,33.336607593638796,35.76272721642616,36.58405570501104,31.74744068317188,31.641677412242117,34.71096098409034,33.44911985613746,28.749575903463622,30.957916626009567,32.34142733003498,27.92676028805425,27.254315624325137,31.53195925786931,32.97958525344869,36.08863426565815,39.49763803543096,38.68710401806695,40.39491443657984,45.481439916134256,48.72241374446812,50.006427178851226,48.61066451520648,48.431013594127386,50.16509142873135,47.24855343700626,51.967189705666705,51.903015629118606,46.29089481112481,48.56291114597964,52.98422663058652,49.72067889506118,47.27624563955,50.52313207721986,51.988345693256036,47.96070629391686,46.361675531551064,42.7518758320905,42.92505419153876,45.35541967230338,43.37347630877144,43.72399565248769,44.700808609868965,41.41388663663736,39.64596137328333,40.32807296450678,38.63041065970443,34.774315006891555,35.22446514600968,34.95604656229372,31.88328046179208,31.105013078325413,35.483425940252395,33.76221754562058,29.492420646915615,33.28933162105342,36.921689794753874,37.73467155609049,40.44723671625577,39.947065518281136,44.3305577902299,43.2227839472156,38.773146180638925,42.659213532574256,44.97493859325529,42.24978377386427,41.65611599965455,47.528922453000995,47.066700017862644,42.610349530989865,45.10244026806986,49.8419947833362,48.42010718113942,45.05162509946162,40.63708421240563,45.108495919005875,41.433456985208394,40.61130039314941,35.68542115469865,34.36446236038271,29.427754614393255,31.240156248132642,33.35753489338666,37.12954166089894,37.12057927131851,37.00627381483843,32.54147918961092,34.50437964003335,29.940474620746055,27.754834818127243,29.059504931883787,29.878943552877363,26.534454162931098,24.969850972434458,25.7692254546912,24.186504710350896,20.400084916992164,20.715847948962036,22.82937730970546,20.852890054626805,18.961209854455827,17.98341826178755,19.233112176237167],[22.52168115780768,23.363000513047126,25.592489798021166,22.096071570339134,25.32148946928178,19.848034810686677,19.7247392410065,20.34859112181098,16.014420286972275,17.284890754500115,16.380566973460194,18.288639243602407,21.413384546128544,18.291477440517063,20.984736343591834,23.929909454260216,24.828362776497492,27.885679529835876,30.760440844598357,33.992941758085784,37.00334750341591,41.46616066225465,41.859564701481816,42.32267984680178,40.170913369969604,35.703479420593936,34.42725522209491,30.491526433332076,29.638736071100183,28.590237281135465,28.113997948370926,28.818894191239163,30.307485775524718,34.089047262393905,33.75431852843038,33.10165430459391,33.41233569504087,35.46219844734101,36.591227658926634,42.674427525312055,40.48508696002418,39.24820698117302,43.57660367112338,44.43179366693646,45.88716542291497,45.58172332570289,49.285377231780465,48.64867312499442,45.625615308015234,49.84038367868106,51.2177901402165,52.019304579249194,51.942393122727545,46.93405741762065,49.94386121548718,52.912595997459526,49.14881563805031,46.63207806855253,51.075983517004765,52.40568937116974,47.14006956527665,46.77586692567194,43.783550177482674,45.20771095656853,44.450564235641814,40.85423130106786,36.62433169642607,33.03527021842384,30.370766098850066,26.538886991748825,26.091469598724775,26.892746702699686,28.509294925957672,32.994074029982826,32.57497261847653,38.47726556938825,38.92263694547101,40.82265586077704,41.33929012671427,43.886408833294276,42.52766395875849,43.8226137479678,41.94010893374512,43.95845013091804,41.54324607531102,38.62742065677823,39.206298829830985,38.58088754283095,37.330714181012596,38.15548582403957,34.984723309013596,36.179670820514716,32.235039136503346,30.03403241522207,25.973586920614483,24.24017074646154,20.726515929737417,24.783779752836185,23.220429308461433,24.702758477073047,28.465366133727443,29.877909141297057,32.574070253357405,32.92584622751862,38.055789143189834,34.64487645848839,38.17999636263247,38.838125732014966,35.515812491907795,33.42777313464734,29.38118856370795,28.733416439302687,24.051488165033085,25.579532189233024,23.08571813089892,24.814985252683954,26.30649019921913,28.42553753519117,29.866358759660518,26.552356093777217,24.116521425279494,21.542286175535278,22.597583997766407,21.55372912742657,20.269484153755307,25.306145357926805,25.014504336357277,29.016881286353748,32.17995057879553,35.62688741584062,37.49439470833043,41.26566392793656,42.08553622042938,40.987095835586295,38.46809151320521,34.0239346815648,34.42602215523898,31.91903209470301,30.022601018646483,31.23780349131473,32.830668293185134,36.261797461384845,33.55946647829773,31.958392084130196,34.35715562142685,31.205722417609003,29.164205090376914,27.219315657872524,27.57573471698413,23.662845737292155,25.51252153689379,21.88155387834237,25.83102735557069,22.30330697994249,22.151084358370742,25.028325337580885,24.1244403827413,27.223250909934947,27.570267375685003,30.533808298813128,32.24591858499621,32.935332942285854,33.52467618072058,37.03000800614044,39.9558450184381,38.95747810512856,41.741281911519124,44.40941666492878,42.533185004234745,38.68031269237387,38.36231277133231,35.50265595765807,37.66406855604925,37.46126799642241,36.82907931833567,36.72564891223104,33.56452006155524,38.74736965248564,39.702398700997804,41.280204064251656,41.431054029441896,38.105871885928735,43.53407231541071,46.65696076398683,45.331621242422635,48.58201076727257,47.10464969043673,50.96027861012452,47.154174135185265,48.14139419031838,46.79266881396514,45.66173776159414,47.6015268871417,45.74992169004275,46.13084579348959,46.73496948368367,42.218838199592575,43.22266649240512,40.99433921513591,38.15088551878113,40.907872256100546,37.88508005757199,34.73742071588469,37.19772485907457,38.50944938921238,33.707649916389215,33.051199240974356,36.573398357758,35.89821467675638,30.863794507553212,32.971190610468426,34.7902519853223,30.557120440540352,29.376806063864304,33.764798499801785,34.849188885309374,38.515054914327564,41.1770906990387,40.59314027749186,42.668879772191325,47.697839448047596,51.181220330098625,52.35876379202433,51.101535605278926,50.70094281343414,52.43814370017305,49.38247084027255,53.959143510444875,53.86599167236652,48.0377647682248,50.218983455607514,54.52277335658207,51.12209145271479,48.53083130162601,51.60746299295079,52.98011526050953,48.92570066415122,47.01322638148278,43.8039798773865,44.08265166306507,46.78890645964106,45.221000205299404,45.709097678620914,47.094761659211144,43.63205030190588,41.631893692237284,42.81480742625061,41.289455247514795,37.14219272950556,37.666394792491225,37.86686957488139,34.8860641308242,33.8540368372126,38.46139083011723,37.05217993433358,32.72231729308442,36.29066654454044,40.05738287603825,40.55412999878994,43.23838343081189,42.49267338630066,46.81939329104575,45.79355166651424,41.02760828152145,44.7591865194127,47.07852822036983,44.26547826907416,43.306338479613586,49.267264038803724,48.7561707516892,44.02298322143944,46.33038763638248,51.207391589003315,49.70283026630413,46.13461145062703,41.622358837317464,45.99025288009394,42.14042105655423,41.83161467784863,36.684857350062174,35.6705555444434,30.7507737421955,32.00925326634777,34.020194539286344,37.65154560997423,37.61009167138445,37.95836517456768,33.27701036306465,35.30014443587375,30.484614147565512,28.98764286613104,30.693183933422322,32.009016080028104,28.70079004630648,26.653788846984394,27.951551778797214,26.88088727394079,22.515542365353966,22.74269536280879,25.585175623418152,24.079733644022358,22.206370663192697,21.39916317073184,22.412861055707957],[28.13432643570512,29.020982116841907,30.851709281200332,27.755395460327755,30.117826361077952,24.1894466088424,23.35305686698695,22.772918703809268,18.22791160466176,19.000034401284882,16.741235712482595,17.766449240621856,21.714587618145416,18.878464619809275,19.83437474537099,22.924126130169817,24.910857004928847,27.205827212882802,30.41076969244929,33.48267885780224,36.34178422559449,40.785832666112434,41.29906476080704,42.31940469864377,40.36416802380212,36.00945578514684,34.98872264532256,31.16565480531473,29.49577839488094,28.084921002349418,26.088114339050566,27.174088510812428,27.626578630848215,31.23127505517464,31.783746964033526,31.746423776625385,32.52016177351158,35.20493360957893,36.95809412905926,42.996758289040876,41.26473389085966,39.22370662673822,43.356859245992844,44.78679815746316,46.42270400305295,46.656432459962545,50.25511129343516,49.26080546309853,46.71926029115146,51.049396954760404,51.82754050823067,52.67319378502664,52.09496473109652,47.19254530230987,49.51369811943045,52.39519768312214,48.7474382331654,45.75880545852679,49.88443960843608,51.507961980766396,46.102455974403576,44.983289242291434,41.65836047046302,43.096596688951536,43.01715333103354,39.50300765538589,35.14421862654,31.439488067893027,29.162433576967807,24.879444929838176,24.798651785898667,24.973832848943207,26.06457046107656,30.808850310480338,30.10786902002204,35.463629855111876,36.66576262309624,37.9859713550838,39.14479477678441,42.230063029571234,41.15454027427415,43.196803125288504,41.43012074754363,44.07085752607368,42.0382115609063,38.52817345525201,38.58852275299508,37.3161999046218,35.817779031396604,35.60956848698208,32.34780316603894,32.77994070203309,28.807683891112323,26.60814231336382,23.23532687952848,20.67315376363099,18.076976758216038,22.232172918108095,21.40380856456305,22.880580201776475,26.98033559211229,29.388777858762435,32.07477514012119,33.43365485637094,38.99785085957011,36.325464078358195,40.08031004327573,41.373353937643685,38.536609430358176,35.839840018819615,32.32175210345261,31.244789390275823,26.653310558973327,28.289364727041285,25.07823068766662,27.2686289960152,27.880298882677355,30.51914014750814,30.732846677662582,26.96745744467136,25.19448923941503,23.06977700675298,25.38608123722574,24.666072444508007,23.723498837374752,28.89529883952881,28.71914090297001,32.42893936980494,35.56216701702541,38.30963336913107,41.015173393240595,44.426728477129615,45.14969860181734,43.37831310457885,41.46167960611342,37.083890374050405,38.405761952758816,35.5847893777038,33.70998773584667,34.18696848352755,35.85017702549318,38.622902366802364,35.32945977188942,33.972730157456496,35.77040302853744,32.21218437055256,30.757154163119377,28.468650879408138,29.070219896784483,25.254311523280837,27.10027715506722,22.86761855591701,26.18248168150595,22.292142075446762,21.19418181181942,24.41671447600439,23.93340124597346,27.70077317175448,27.708598842994256,31.734565443117372,33.97949220686626,33.85062160708686,35.46607893178361,38.356844779915534,42.05330290293175,41.82613889095371,44.70883584865516,47.71579798096883,46.23228348206328,42.34944229237279,41.769026740934535,38.52766466777567,39.92604508904222,39.15320468173967,37.865061647372045,37.32931881320298,33.628544725918935,38.44885825834525,39.98950104449655,41.83089923074737,42.76232596516102,39.71900974887115,45.36022333214015,48.62211869255137,47.073797107349556,50.00112928292809,48.046792321196385,52.26693166447846,48.52949788320532,50.0464036036411,49.09368769430471,47.99807495107432,50.33114082698229,48.77943917780829,49.38524261542636,50.35821037897922,46.075456766245274,47.023397257864936,45.18194239509771,41.90744112254998,44.852320575942414,41.45237674329979,38.585305489007034,41.6537820537732,42.68201264795899,37.8767079275219,38.038044985529204,41.40817064872441,40.14762139420143,35.70098917924919,38.179079475702366,39.735508466733826,35.328001891354404,34.82834421272875,39.28748219586444,40.494056063893275,43.76706587370739,46.87202699817612,45.86877566625622,47.7234269875205,52.61698982467202,56.126923764902436,57.10780951780201,55.33638171786521,54.806615016666434,56.19244869506564,52.867976561461965,57.50120654755615,57.893441733094285,52.13376954229513,53.92820868347247,58.54451451058337,55.500700559129456,52.68265690503768,55.540039626976416,57.468240620648466,53.62512726833185,51.22440828871836,48.135472540693094,47.601927445276075,50.219135997066694,48.65488626753568,48.556574591723425,49.734752822301054,45.94041156751311,44.57630543031722,45.842172126816074,43.71108598428292,39.83021882318426,41.03340476559648,40.87441947824901,37.79889033622946,37.49618879362793,42.02887360099236,40.33733162444709,36.37195572535998,40.42129612021875,43.99164606848155,44.771608391774976,47.12316351902083,46.19803675997796,50.618921693110785,50.03634322371452,45.47015775128751,48.941850798202125,51.64043839630986,49.0890449438462,48.00599843561962,53.92360176294286,53.879987921181794,49.25707993166444,51.27216965474703,56.28448791252138,55.156082537003186,51.67339405874667,47.30583062940852,51.91191402433381,48.26918076162016,47.856599422380754,42.742351005883705,41.31359632692863,36.39690099496914,38.081637741551766,39.85714504791183,43.50972235192076,43.107974800625236,43.08874901101952,38.11287111760628,39.550044829994114,34.654152060016855,33.33022698006871,34.066469389393816,35.314090574109336,31.34129196346171,30.17050708488115,31.953384771398067,30.188813666379563,25.751986297549468,27.2594500756853,29.775043137545158,27.532853539396392,25.367336028359215,23.961475976400944,24.413111410194126],[27.828651811771316,28.445390350460908,30.398626740476825,26.396490978689787,29.18553455751559,24.10278793450717,23.257208545245565,23.793221370830977,19.04554822480926,19.074988438347997,17.494238065123618,19.797693313733348,22.442562340789042,18.638910334569573,20.619943599645673,23.93058787720186,24.75305749123685,27.02121165849139,29.340906152570412,32.97721763862209,35.497758932402604,40.111275861778864,40.170807781562985,40.730780630195774,39.04744350452659,34.56259746744338,33.92484587044968,30.272100370236895,29.419602737121988,28.84996985197726,27.237866252607752,29.01800596259097,30.08297707037366,33.32339208771195,33.42869443382226,32.60481662557571,33.71047158412628,35.37030617040954,36.712360979576694,42.920060173916646,40.47659465074737,38.575306331369994,42.881739845464956,43.83078171869404,44.990405983062736,44.89413982212836,48.52169082920968,48.058436171575735,45.459514158056024,49.86041392598136,51.08811979285296,52.193820271109985,51.8970709931881,46.95096356749188,49.898068763418166,52.44722996758871,48.462812767790574,46.03776111580522,50.33252981756341,51.37101741357979,45.918590351130945,45.225089712534945,42.26397243117838,43.13771897054814,42.70750752968766,39.489297925818086,34.70550328551026,31.406359965701903,28.322182009248028,24.519853015872105,23.696729828952538,23.755404267317786,25.804653733754737,30.329730666061252,30.52536920022801,36.23937406248233,37.33172266410462,39.31416848471029,40.28965705511004,43.081203592630956,42.33797707254612,43.95940813885034,42.65454222883518,44.87987293878133,42.34433393571942,39.17487615574709,39.0661500245307,38.607906291797164,36.60477280719591,37.266741797985816,33.65198382877723,34.23148809770265,30.478348736389815,28.775784580067537,25.104466964790298,22.936298544445563,19.8842322935821,24.83890295346263,24.10773781001542,26.443445786161885,29.647135439020655,32.07460112920813,34.14645863438218,35.34366080990772,40.41854302237552,37.47436579453706,41.3609835322795,42.11106754438032,39.11523182544002,36.89424182747138,32.95537941502737,31.58088625244676,26.857212428725386,27.747674241116453,24.410068459587258,25.813653486468137,26.531460066580575,28.402279568338436,28.79757180668304,25.730461685571687,23.359296379209763,21.474443168490208,23.061285498243965,22.858441827446367,22.49761876536239,27.716385903375645,28.42783343927505,32.036311704518766,35.43164770491498,38.559073267608134,40.68214492822961,44.48973580086553,44.852153738780935,43.655469787960826,40.97778154616479,36.43944596468246,37.20728391822321,34.08530160332875,31.71633226615545,32.50783779792804,33.38431095624953,36.36163013849838,33.506292738328796,32.4477318341174,34.752790475272484,31.721367329269775,30.068389427650178,28.527338149488997,29.551011455910004,26.037631956511753,28.53368815266508,24.974786183635747,29.056684527340735,25.837952325118064,24.80022731344993,27.445885425708404,26.180006507860735,29.70402449423266,29.24286525461855,32.84598200583594,34.1599809355299,34.01258849571494,34.68658330555691,37.9566000303268,41.21011479278819,40.22116567285493,43.457400919288396,46.02793851809141,44.597728885947234,40.57926591126584,40.4638389389799,37.31625966849905,39.36606379202996,39.135434182150064,38.30605568875164,38.407899301249834,34.819279848739725,40.06804635957175,40.897060207355224,42.868380542347694,43.0153533396235,40.3216544138918,45.757548036941174,48.82883260065974,47.04217819500742,49.9690566437014,48.01201116431528,51.90660698104916,47.72264433295859,49.20549083877036,48.152556226992445,47.41388678454888,49.632582204182874,48.07881113181766,48.78696512275562,49.72838237801236,45.38802727021095,46.73275068687066,44.83932715090636,42.04035121648819,45.176909954417425,42.22698027684216,38.95822115350924,41.6357482665851,43.19821555115,38.43824583557097,37.66121999008774,41.42944336156554,40.95752884461722,35.90578971278716,38.03550841927443,40.03594420806327,35.86792988429544,34.56721198765894,39.00074764011633,39.90302386262845,43.796145863236504,46.093559384589724,45.57398761358798,47.82028204739706,52.77162725499746,56.400228540623836,57.4675255732849,56.15843452547382,55.573677104988306,57.19667764063791,53.95651631543604,58.441284939574075,58.492804373115014,52.5428848624623,54.51783459804629,58.82742262741348,55.44970853409355,52.677499857396086,55.52897798552912,57.010378615907065,53.019552660863184,50.69437593197544,47.872247425643934,47.94683197978377,50.8269902254406,49.57890753576297,49.95147713735892,51.54770009446813,47.84111301979731,45.92186781381291,47.47950402748337,45.84584085188572,41.61257126328892,42.430094518069296,42.79415032656311,39.83379048905184,38.90383708847802,43.61338408905967,42.27791164609902,38.02556386586888,41.61994960640435,45.39996202064928,45.81070053239753,48.380955873061495,47.42969456735501,51.745242200036905,50.90849108237688,46.01157549465312,49.55245728368181,51.98414311105259,49.19318591168667,47.948564729016134,53.94047548254327,53.52692467822136,48.64124256803947,50.71790582569315,55.7196310574921,54.256288006953724,50.5739230886059,46.04680598561522,50.35835922472886,46.433831510449636,46.488943507581766,41.2261574085587,40.358304779717585,35.4896165753316,36.429734869923415,38.293207639122066,41.78414166986195,41.62689497985863,42.236437960735564,37.33526501707231,39.19146411542518,34.193143785251245,33.30137340270802,34.93776114706279,36.56228663503001,33.04647928726529,31.01479329455821,32.796065681384206,31.796577053753822,27.082352716658235,27.690428190670083,30.81789135048006,29.309348459526174,27.337738603247818,26.379733310897493,27.060602684383163],[32.358776633245775,33.00454688262052,34.86207279063056,30.85582632815795,33.35629087935393,28.25575777471557,27.07785517944197,27.251649050200726,22.403582162996354,21.951574677159645,19.793240413156486,21.87636667008351,24.534649546288485,20.67091990017406,21.697652205684207,25.122597230982247,26.24727280351973,27.82084815809122,29.899526429936596,33.64043212332838,35.80271946154949,40.438406825694344,40.345797445760326,41.13496748788058,39.79817373542982,35.39723464658902,35.18754618763133,31.76871782688639,30.671007104381793,30.216004973447152,27.559174268640827,29.96220988293036,30.431059846989378,33.27863233424592,33.93250565072042,33.2551908282844,34.884384759028244,36.55284256724234,38.1831479764433,44.37202036999255,41.97423971014867,39.50351534473042,43.69026294489983,44.86380636141971,45.91063542857234,46.09125702725597,49.61493277572221,49.140540938093906,46.93105146208666,51.42518180613427,52.38710439278866,53.65087243255004,53.08795504056211,48.240168956326784,50.90981180767383,53.202641908308586,49.170107412752884,46.65356092090764,50.729327064816594,51.70670693070398,46.14523747115718,45.01215325407204,41.97509561472921,42.52547485473912,42.53221975388282,39.58998199730152,34.502332195695274,31.38350513782946,28.24412012606706,24.39242276393077,23.48580679578059,22.810634207344666,24.91543031115954,29.473622548222767,29.953016513138344,35.26122803471742,37.007374723950434,38.79768292221155,40.25321979928319,43.340361003690475,43.01506378664734,45.037160416348506,44.047643535093705,46.555050046093825,44.11176286444534,40.66402179795424,40.06117925612032,39.464814000092076,37.02592772015862,37.21989758309983,33.38200490510647,33.30652736666115,29.715865288885787,28.331893344845284,25.222404220630942,22.567190564419732,20.227961258493924,25.488365245709574,25.396826559238324,27.985984749137387,31.0501938006276,34.15667031082037,35.98046365126182,37.80648853185577,42.96809342848467,40.43633184939491,44.48332359832823,45.45639039702715,42.712769279536026,40.278465592959286,36.54311673357033,34.83920602005489,30.169287799420356,30.877161426129675,27.083131039341893,28.463837684230278,28.582029851790185,30.450557999278374,29.946384942122908,26.939630632298663,24.871280811362077,23.511443544865898,25.642459858544623,25.869180829921923,25.92354119843566,31.168186956508965,32.207369202093965,35.60102475096308,39.04187993632902,41.85308782076152,44.290097659730904,47.99601387694508,48.172521062955994,46.7492296085612,44.20229691413131,39.67492226254189,40.81451927476599,37.41062719022558,34.88899116539644,35.30551620066938,35.875381760207134,38.42115779875299,35.362066317479076,34.64521599480551,36.699889365939114,33.64018108668347,32.35812351334988,30.900275040482782,32.23369398971659,28.928789170583876,31.5888016561018,27.896220682517338,31.75680822680408,28.504686446377008,26.954417969446006,29.61585482778671,28.40081231294099,32.23232805901203,31.391582522178332,35.51937003406558,36.843795528002246,36.11494917105867,37.12881974254131,40.07950864035414,43.67635408720209,42.91831829908854,46.35071678477523,48.95602171267084,47.823260729099765,43.753580361125024,43.65107654603206,40.308310713970606,42.08117952578972,41.6711516719551,40.56633671531889,40.61008637579749,36.71035476849468,41.811920762583135,42.77815158855739,44.980998988921804,45.37520311483839,43.032558874882575,48.50668731976007,51.58622005362202,49.55265313882183,52.23260910520884,49.92682999159359,53.93118879202438,49.61781219252273,51.47828001515432,50.6782581987988,50.119311465073466,52.555165498745055,51.21177131000389,52.10553362615315,53.269268411828776,49.065180522963,50.50452594923196,48.82130036957983,45.92274936505389,49.209015350958126,46.17124711311954,42.956184724223874,45.84657916191897,47.38685112001404,42.63121481942277,42.038355239713276,45.8174610715586,45.22025142393844,40.31015509245656,42.528576722994764,44.48223553048446,40.26216076071219,39.10165631172023,43.548483101896544,44.47518761421053,48.30594667679386,50.66857251226339,50.081901891142344,52.29942675195746,57.21915876598247,60.86519989813013,61.88229673332122,60.43136979777984,59.78277658978189,61.28379715193924,57.925335179621214,62.405840782385155,62.63167243043126,56.67248642852742,58.48674958182304,62.88465379792259,59.6104894962943,56.72934013306345,59.45379800138297,61.11355397472171,57.19774746078422,54.62366359202991,51.953078245622486,51.74636342672269,54.647011177899365,53.48428621918031,53.64898989315271,55.22555951679885,51.359353757137235,49.66471402186207,51.323902084001986,49.47193262846631,45.315095330379414,46.39734604981838,46.666370585335684,43.67354353106877,42.9858954295871,47.68312807871018,46.24917615705175,42.105236208115045,45.85496768576464,49.5802086495453,50.08138751704318,52.55417388006751,51.527899076941175,55.87234481506212,55.18567930177745,50.323544650739706,53.76639165302729,56.320587694554604,53.59637787709361,52.267506570922215,58.25708585114876,57.97445854003157,53.07967863947534,55.03542869162059,60.09869544659874,58.726131746587626,55.032969735618806,50.529460380441726,54.86414665652333,50.95072005234047,51.06907480792507,45.790782036335635,44.88770315559728,40.025052590131196,40.973514829804245,42.76881936114522,46.22476712409857,45.97012235963898,46.571598276002526,41.54940539554349,43.21174112579854,38.15279578653195,37.457337035507656,38.81050056910697,40.4752641328156,36.720467037464964,34.95678875051504,36.95474718497532,35.756732492385986,30.978337262977305,31.98889696338378,35.04905014439104,33.306322315078354,31.231977813862326,30.055190989581483,30.52820823229365],[33.658989719080864,34.78711778799466,37.075356416040286,33.56367906852952,36.44875302247268,30.90931508312523,30.161440734388222,30.0256321550495,25.3475315669567,25.570717708130694,23.29897327546186,24.763174797423225,28.162276812139307,24.705940208856,25.442208257657995,28.769964305368834,30.394141028979085,32.022042975834914,34.40138687954887,37.970061124181136,40.21508907453364,44.800744900735566,44.82425518310832,45.76659032600335,44.39529424185143,40.02874195800638,39.70956297214592,36.210286549272695,34.82836455318682,33.9878049755073,31.134738155080438,33.17967808138419,33.24868983340833,36.27526915820288,37.26094084559883,37.007651947372096,38.4668410840862,40.630317604516904,42.4132276805647,48.54973886858782,46.40807035998132,43.902124969176676,48.02796222964275,49.37027219651555,50.549784144353374,50.81095327917823,54.32917155137941,53.72294642771453,51.515989286185714,55.98556304387649,56.82624664016776,57.994096345666016,57.333772800346445,52.498462866044314,54.90980586499816,57.34242089621464,53.43699352339978,50.68164047429108,54.663429781571786,55.8782047037355,50.319123610839604,48.92939551853189,45.716725251159026,46.420483891758956,46.67603508029196,43.67567627107212,38.689212397112996,35.45466091023374,32.593404805773936,28.565990690350084,27.889546679165935,27.058439817759055,28.869348615367926,33.50590517278335,33.71614224558838,38.724238047347896,40.715744388478356,42.124748368684166,43.785517948331034,47.06713170366854,46.611420682375474,48.85575722531438,47.60476928257087,50.29997514194874,48.08383735222652,44.507182876298465,44.01040850370039,43.005510817346995,40.80066923432901,40.472928047678295,36.786666595434326,36.44508862634571,32.79157999582809,31.20203967433289,28.380302730778595,25.40180025342427,23.434445715857002,28.225545635625345,28.030419136192446,29.891118931475944,33.69122215118943,36.602008042211715,38.94427200683168,40.666662648739305,46.120922710474346,43.54466352564297,47.41075881804946,48.571724315274025,45.70553214290138,43.14866982997333,39.49197642249964,38.21083802903551,33.548562525426526,34.70882595185249,31.147104564850235,32.805101250354596,33.06337357441344,35.13067323045798,34.68555073501851,31.488918444921936,29.544755185547718,28.029416911464182,30.19352456594278,30.137423098989615,29.793232982980978,35.04035763920145,35.46404225078206,39.10939125656693,42.403172612515625,45.270584417458515,47.76562023516638,51.370391746923566,51.85268058570159,50.2900337422608,48.011375619922084,43.52821884047579,44.61886001358231,41.48919525916105,39.16641066651002,39.68602536582297,40.523311377906644,43.14993583355899,40.03113866759651,39.1711062302459,41.13637988837294,37.887380224308984,36.58734812796666,34.79837439271422,35.8266865419604,32.247083182765664,34.42813445287981,30.33217649407412,33.70306808597608,29.754891802643858,28.567543624029238,31.748769469697763,31.11457984113819,34.98861481353033,34.5978481622158,38.7877103346049,40.60157068884682,40.06516557664337,41.36661767201979,44.27239850473195,47.95033414597883,47.34187413536201,50.60700484510162,53.32144855368781,52.022979923732684,48.00624393868119,47.77256443717714,44.490522294449406,46.1607203545961,45.59164460980171,44.359018615550895,44.08786230169682,40.19728599028395,45.08968432510282,46.43284693377069,48.515174340313195,49.2396126709794,46.588266585115534,52.16339290040097,55.3386345675751,53.50033628916472,56.26524426260229,54.03501788323464,58.155676511735564,54.022962688910994,55.82242206173825,54.981415862435135,54.229677706066994,56.62128297035771,55.17302049606314,55.92107114321985,56.944763933100624,52.64638826145809,53.8263923109952,51.935469746795725,48.892154957387575,51.86672595141755,48.626741383470616,45.61717477977864,48.42790927502304,49.61385040848003,44.79429442361371,44.48516357441892,47.946380705135944,46.922661718540105,42.165237927727155,44.35852642625088,45.95940147503637,41.59185837787935,40.66635054645559,44.94433867095748,46.23041272664457,49.647399117910105,52.628950519184315,52.02976272536695,53.95152148069095,59.00753753362501,62.351667716235696,63.588770037069985,62.1321205222865,61.745949367799575,63.30106891921749,60.09173970333414,64.71678682408229,64.91637703127002,59.11942611655344,61.065011537898606,65.5501709007473,62.32246409119974,59.57902857119985,62.47558811738803,64.13876667314676,60.18074452499404,57.8982056318028,54.90105136960805,54.69454214474256,57.4060765688555,55.89211624717667,55.952682797811434,57.156907726665935,53.42666040340877,51.94460019280354,53.149625960748416,51.11783233836466,47.22709338225421,48.230762991390655,48.04315011185115,44.948088744600554,44.4729096895226,48.933778259289014,47.15491131100521,43.032828865909835,46.95465555406261,50.553219285624124,51.385486197001576,53.97377014913631,53.24418772169096,57.64769640007076,56.78425592232739,52.19993750657773,55.86337777716047,58.34114224950013,55.61987071590539,54.66236898507138,60.61286264130503,60.23359680337336,55.5284981701386,57.7429875632203,62.677877867262566,61.232032952016496,57.65388125888124,53.136078338027225,57.454465417657374,53.52601958753268,53.26911974774749,48.136732452070014,47.20157174736089,42.277927101585256,43.45402970277904,45.482763812157295,49.064070450489446,48.983093177503044,49.378111215882754,44.53138702575146,46.27393037503337,41.32439395822274,40.11709236843215,41.276179288492884,42.55726836252168,38.73939354233204,37.32443148902026,38.90032959577523,37.297742677191025,32.96259539568497,33.92569645081263,36.410900511575306,34.28273349675639,32.19786009651485,30.82410380945888,31.40135828155129],[29.63363640149186,30.865618810257462,33.42295570419225,29.93630289099311,33.27768178868484,27.826113328151674,27.522994563990903,27.803128412779877,23.26552395889722,23.956855838706648,22.237829100637807,23.923567151940464,27.276558100632595,23.81173381906173,25.40268280838449,28.67042833116533,29.94833032668918,32.142848955686674,34.60718307953534,38.17988330613142,40.67460104079392,45.278952960896966,45.35726626705646,46.040203194535984,44.428193461314194,39.96739977172473,39.35255673002426,35.67993408281391,34.59800408388543,33.738585224242264,31.776193194437273,33.3656487136803,33.98117854693836,37.33399442045351,37.82672075450704,37.37982638736159,38.427230338842136,40.49193116538048,41.98411117324861,48.15713258556398,45.8880835252464,43.88524097230378,48.13981119906781,49.226299608807224,50.42748537790399,50.39939632159945,54.00902640272428,53.500371511093896,50.95032292346269,55.3464326449817,56.4847433300354,57.549039230657534,57.15850612074508,52.23084044835816,54.95970032938399,57.57809486928609,53.66656588495831,51.05618053069041,55.25207198659151,56.44642781838383,50.9620537814698,49.98995969500158,46.873722338425196,47.77013937108286,47.62315102139324,44.42782695165245,39.60945972105206,36.269253315746674,33.32400182382154,29.372559099114905,28.647347350458634,28.337097280071095,30.276247557284947,34.89895581591545,35.01332435548575,40.42563670263281,41.887360104711775,43.53600708213539,44.787158465529195,47.80157189168502,47.021706414515826,48.881689297959355,47.389831118298886,49.797368274643986,47.45131367432993,44.154830975393004,44.07169786983788,43.26006480330269,41.37105389532587,41.518661085335616,37.96320588559049,38.16871040550882,34.3775063769685,32.56042765213098,29.227523320313164,26.644189385718857,24.03983355844225,28.673597585009222,27.924690444152187,29.556330108114995,33.50854708223066,35.78518735709712,38.36205013538492,39.47435765599901,44.827890294939614,41.82511654165293,45.5161128745501,46.41735461771545,43.26668077392779,40.96821935554743,37.08474637031621,36.1647046156549,31.462209945126865,32.75614486431002,29.63575148648085,31.219412267755807,32.013157442119116,33.96303350244343,34.28884627136741,31.148047557827674,28.878119259954914,26.97868996609795,28.566381120987696,28.200940849081128,27.525238598495324,32.700457398270366,32.82732575699854,36.68845851668614,39.931471806185726,43.157565365673534,45.26131532261019,48.99659111281639,49.65264345548657,48.377500521750164,45.90637685366029,41.41282018384318,42.0444343185664,39.19465482928743,36.97073947098813,37.89456576755029,38.88268218635709,41.919775290291476,39.05932487214067,37.949582094018815,40.19949590863623,37.043306001287704,35.39674452384859,33.60781925230301,34.37354751768198,30.614485746391715,32.62950119439564,28.664139038172518,32.228754363621256,28.218737940194693,27.608667943366214,30.824722260655587,30.156154600981687,33.73128057765147,33.69920350289106,37.3674437063229,39.11534417082378,39.12036029171854,40.01404360841807,43.247187383144656,46.55044465431111,45.62319809945995,48.7382309824738,51.34572526669609,49.76120117175426,45.79345307421867,45.61409093970611,42.55273256658636,44.562221396329214,44.219824685230215,43.287967397799484,43.1163165034972,39.52157914277712,44.57808005125051,45.74873352327298,47.62430307914727,48.05357437474782,45.09306340997862,50.60676852780315,53.75319353115154,52.13448954647773,55.1355927364121,53.23036268247554,57.21117307341233,53.14186987526717,54.5882691034697,53.49640676840644,52.61559036643997,54.77427809974129,53.117199122218686,53.681833712479786,54.45805132493868,50.01389729824821,51.11492228234221,48.96911354382213,46.08498023623085,48.85923744877117,45.74210130583158,42.67361602435926,45.171033418587754,46.37459224677665,41.55432370927998,40.97015725901135,44.38754154178371,43.512236609969285,38.55536685913353,40.573090427378645,42.188435627093625,37.877252604813755,36.730074926237926,40.91659398077701,42.236095228158426,45.701186324188434,48.642251412232625,48.21510142900231,50.14927558817594,55.28405579162177,58.538119471291814,59.911013881935546,58.69235677319915,58.43588464979999,60.17283713202795,57.14147735078652,61.775013728844876,61.72930019661266,55.95818668042735,58.127287503241966,62.4803024573306,59.10397750874743,56.51859380279712,59.57411724721386,60.971119292490556,56.91031667652119,54.96442290935019,51.80109271016959,51.98300107979976,54.66930052905132,53.04425815973106,53.36585256939075,54.567520651335236,51.046434379873645,49.30498092765298,50.33838785820402,48.56201057480156,44.61076862860509,45.262131795993504,45.129196883891275,42.05666560090513,41.29149876463849,45.721350422468255,43.99922364817342,39.71737534039916,43.450951367909454,47.10428311407881,47.879506770699,50.64421627337272,50.07480989014105,54.44094891966937,53.325665409779496,48.73198755259078,52.56572444956019,54.84137250950776,52.01025402932273,51.216969077008635,57.15893105468466,56.54384132102984,51.86141004799212,54.27690141255486,59.097490133263946,57.47202288560915,53.90527951868799,49.340679262448084,53.54641044393973,49.550692619639065,49.21764881239047,44.13686226281908,43.35806818969302,38.443027507696726,39.51532510670377,41.697607409650196,45.29575701484753,45.41837456376771,45.89318616891702,41.25599268847207,43.27868244845478,38.42489563209861,36.97261732577967,38.50312688863514,39.69756840106189,36.17937534007723,34.46823738014667,35.69650798964932,34.29865383867502,30.131363215600892,30.526125347956413,32.97690493890055,31.080860346759188,29.12697461727569,27.96868798485147,28.834134618348582],[26.177992778213785,27.65381906689362,30.361375134390418,27.45089529500756,30.92878225866557,25.100124897263505,25.231635172859896,25.294494521931156,21.09440667205669,22.615015038496814,21.125359447681518,22.32877031646927,26.210191414995666,23.303848188113314,25.116632574876146,28.14433242631065,29.68937117621524,32.367721948640565,35.35440109848652,38.59211211090871,41.472973193364666,45.970400489065256,46.353846031010185,47.071938886247096,45.09891887309304,40.65284497327265,39.56609892365048,35.67407180831059,34.426489973483434,33.11568885882501,31.76709256749495,32.57144385785911,33.33684893376732,37.10699501948546,37.4021576862545,37.208551961223336,37.70367567919727,40.21265638668559,41.660591440011906,47.73174885747554,45.76349253096169,44.13624035989663,48.38237946681193,49.51150683626741,51.002298504571755,50.9131305837818,54.57564817783298,53.84182338570933,51.03211845204775,55.30699439275153,56.44384008068739,57.26320475491147,56.95098100917503,51.98712188799467,54.629690476593645,57.58772530313035,53.878875336190646,51.09135836454161,55.35701282194837,56.85936724906033,51.49118616353539,50.648673982888525,47.434273803079265,48.80415848934263,48.50524749839138,44.99449261930728,40.59097080225568,36.96860759352749,34.41320574147592,30.319275188946115,29.951131900235005,30.14934151525192,31.666577460808348,36.34496912396393,35.89948495703635,41.40963992382593,42.465515130366526,43.94788565779875,44.9344253951049,47.8528648247238,46.61355728647228,48.35338550326889,46.405352699681394,48.77019362832863,46.603540590028,43.39127755918726,43.76732639937178,42.68938187936181,41.36846733083041,41.45953079039555,38.24448951933691,38.834075721447604,34.8613277237615,32.62632443802661,29.07938891118332,26.696849030720887,23.858254455691636,27.82018444198873,26.54517821758597,27.463480110382523,31.947535216572813,33.5876030861158,36.677639033467635,37.30389283020437,42.78557137354246,39.56698545863945,42.99677001915881,43.96423176614023,40.66178155192658,38.3442457666789,34.51556990933504,34.10589463785113,29.48453257221369,31.301316443922627,28.68806216550386,30.619006369625396,31.8271734550871,34.08896485379636,34.991001384163,31.539203914274356,29.32963075392635,26.978808970266513,28.438353379478652,27.506535133844235,26.210007311106956,31.25024740680753,30.6003191561134,34.6912758434099,37.71973470527747,41.037403390784704,43.1123445192205,46.720935774416326,47.737783345491565,46.39529130430986,44.198965446882426,39.80974036249939,40.34979609864748,37.93576315248467,36.098177937703504,37.19326261835658,38.77180182665627,42.03716853057791,39.161600305293476,37.666186353169266,39.867991668769214,36.52563408987269,34.691605884485156,32.51324474136872,32.80098300555034,28.760212162923928,30.234636245014197,26.092841117353792,29.357431467326354,24.983081855076353,24.940198761961323,28.430317520018118,28.166370493458608,31.523675240626776,32.080069993089424,35.44741045921179,37.63127123367956,38.13599930610601,39.179351499944204,42.47173910748708,45.67434329095028,44.910443612925796,47.67496766343902,50.43873123875508,48.57593957240021,44.7418300510497,44.336868513199526,41.428699608934004,43.35726312801682,42.91321712443844,42.00205717186141,41.56913345097566,38.21536020640435,43.135511070110795,44.53340989839693,46.13716392738711,46.73800843555306,43.32165865650169,48.865034442126316,52.08080931320806,50.800224566441294,53.99819672323049,52.390729042379114,56.41813855872764,52.67791900002821,53.82688101315685,52.57637249748138,51.378183948590134,53.38948754141407,51.55367489079487,51.89422224737912,52.47000208646061,47.94304091874355,48.738459700059146,46.40465673558003,43.39239177519041,45.86916311399969,42.60966593147983,39.73143041092429,42.17062915022478,43.07505040075478,38.239703684226676,37.96581164538894,41.10487623052645,39.89821699737837,35.13065644733849,37.203025481250684,38.5685219595377,34.16861720539227,33.311930706028505,37.443058645437986,38.96654957985394,42.10231164273936,45.48793085108417,44.9049343983518,46.61829418283976,51.77894660426875,54.893408545261,56.320661619702975,55.02743690216106,54.91073913446055,56.66172699611619,53.74008164524622,58.45797699102864,58.400242613502385,52.7702351545309,55.02366240593162,59.43499145029334,56.132275735023796,53.65916008700988,56.85022475573825,58.28079776746088,54.225614338567006,52.52657064411378,49.0676444024036,49.23347571524917,51.73866029117206,49.83683370054653,50.11806949839316,51.07424232633893,47.70327340290613,46.05180044273488,46.760463713686825,44.93595326019395,41.148074976499586,41.69709488224926,41.31324562003105,38.20542377371544,37.53958544985161,41.82964485435694,39.95787066228226,35.707751829705636,39.53360802585411,43.110153907817846,44.046322019276325,46.83048729215951,46.414291646440155,50.80160878024625,49.6214797967726,45.21622740463541,49.149207741448386,51.40700454787557,48.62800616850475,48.06733481707105,53.9517872950779,53.36271511180696,48.85834226584446,51.40058587139317,56.1295243735539,54.5612709275627,51.12705094423469,46.62564886368602,50.92437430073537,47.055842761447295,46.37478249419862,41.42500652918979,40.42403225362694,35.491211480013675,36.93769034812751,39.18416671559769,42.892352597514105,43.02981415293375,43.19005431388137,38.696734889646876,40.71396430803696,36.023007215881634,34.10380834892371,35.44909560268595,36.339879102934276,32.863973602207665,31.3754313982998,32.27178908063686,30.628883749211763,26.816977292539345,27.181351842674893,29.233403925628604,27.133902597645278,25.20583033906748,24.013420742589553,25.0409489965873],[24.983926355833805,26.223638037518445,29.048344773218723,25.465104029009208,29.349387607276313,24.230434720285494,24.458061571861766,25.40286992153694,21.15426555211696,22.27429131753653,21.379355112384005,23.414747799438327,26.403527855732786,22.957733296966346,25.571542518385254,28.6794902152715,29.393265367208528,32.17161139016351,34.59421768655298,38.146532020347514,40.854305654969025,45.427408849749575,45.53033904129632,45.870582377409875,44.02082555445197,39.50997835272519,38.59423260940659,34.80759515412433,34.17705396803167,33.4118369619012,32.541449557533724,33.676787804405734,34.96960029099667,38.56426434154427,38.44308310397959,37.68895314943612,38.29641713351279,40.089751577851864,41.18006786614285,47.33280391760356,44.87058021663645,43.486012664261104,47.85025980279652,48.5855610795723,49.76035731366897,49.37547620761066,53.05704003631736,52.70384819078938,49.78103982210961,54.055946826532896,55.5701646225315,56.53230475519336,56.48287984912242,51.487557832945036,54.62461567133597,57.39406547369309,53.47390474516214,51.11451260821868,55.53310909011343,56.63203529030178,51.278060886839675,50.834407783612036,47.898910443675774,48.94825987191794,48.31154693135177,44.960349188676744,40.366750832695836,37.00364057788539,33.95800027952387,30.237800118109536,29.42403470079105,29.698590992366032,31.78998826175943,36.27387333307423,36.35603582205682,42.16456913713158,42.99872998860051,44.9688039534787,45.7230964373616,48.365204330684314,47.270402441170596,48.62296916100625,46.93944790953348,48.94065421143948,46.40787772403724,43.51217657253682,43.87752959851513,43.39679852072244,41.82738343871637,42.61143854177512,39.21233444044763,40.03928350629825,36.186584008226845,34.220077555048775,30.373101000216266,28.342606650992792,25.093668396567285,29.502681461001412,28.18687936710908,29.680486076016322,33.53647817390071,35.0760920357263,37.756351048263326,38.14882124553997,43.2347731680352,39.74997871662784,43.22899089519356,43.74251283781679,40.28411464384391,38.378882820337246,34.22117066042179,33.67538827406241,28.99759582384887,30.31897787170623,27.78571448180889,29.154825928712782,30.57553859603798,32.2746147396963,33.51855727183251,30.577489095384088,27.94686241461232,25.67542888154139,26.448603764180092,25.760344679902424,24.75797092169804,29.72800591153234,29.62193760124036,33.6541807961566,36.83452908809466,40.483871495738576,42.04121820620009,45.948408878698935,46.73840400591159,45.87782206953039,43.10789497959553,38.63272641820346,38.661170698800156,36.134642311561485,34.0086994443164,35.42688261187306,36.511232406633255,40.00213663364938,37.52479600111251,36.16654419984499,38.75815518634434,35.820136568120255,33.782017072629756,32.11813107498331,32.61935809712103,28.78335698800283,30.666847210215643,27.068221245178403,30.92059233989693,27.113955121860943,27.132306667343514,30.172498516619882,29.336437126284356,32.451347680447896,32.7438520985837,35.68664339188063,37.196310160701664,37.81903931247044,38.11808142028049,41.72462279412344,44.50578730064134,43.14411861833626,46.08976395096644,48.50737744181727,46.614315137060125,42.72298424345923,42.6576763227619,39.8953714183962,42.345738431226394,42.33345838007182,41.81587439982978,41.84920581294988,38.65678238179364,43.88852877556491,44.747019406898694,46.3870331785566,46.36982964833153,43.14267813689239,48.5021276540943,51.56329533589064,50.17444542320679,53.41390313616293,51.89171314159147,55.64217444347814,51.62962854426022,52.65698739901148,51.27953783792779,50.30054558922876,52.165757925955134,50.285074027591534,50.652409766505244,51.14615569712335,46.56350004267662,47.6281864591328,45.213828045349366,42.60040480039887,45.17917039245256,42.29944207279649,39.11502699054802,41.19249980907228,42.51525450022134,37.7380531126186,36.68858680991228,40.123186866441024,39.57977695175257,34.322727506797236,36.08522010717499,37.8184751660901,33.64906234592379,32.10921704616722,36.20024325837684,37.46090555932402,41.1105469054596,43.81055012612286,43.63261275911743,45.66506766246428,50.86117673826913,54.06902704950938,55.56377384233126,54.666865942800015,54.51121111231985,56.465374819527476,53.63533666206174,58.2236537243298,57.8672724923766,52.103245402598766,54.52115134335766,58.66550147540316,55.08993051166799,52.68259698857987,55.88739365143026,56.93066767153409,52.75606248331366,51.18130493577176,47.90221419074729,48.59541343307975,51.28900825646024,49.62323927907841,50.30822848424519,51.598795471753846,48.328618094010245,46.20926411173761,47.13616887766756,45.74891717218578,41.678310549533144,41.881914028170016,41.946486918157085,38.95464603133231,37.74658428599977,42.171275382728645,40.62965114447655,36.15486479901117,39.55833844013001,43.30415471423575,43.90720404130338,46.86741305963553,46.4329822395418,50.716338602950344,49.3179242002211,44.64961289254605,48.638685419231514,50.65732185694132,47.68313046126627,47.01122238457464,52.93734723757428,52.03192372180894,47.33374431982434,49.94544697949955,54.63830934922319,52.79042584048789,49.209930958770265,44.58902698119878,48.63378861465883,44.54663887967545,44.220100924692986,39.171306993241636,38.634811871158526,33.76020264076715,34.60214456784794,36.93874957973458,40.51573105609621,40.87963065775811,41.52945653492895,37.15407161278468,39.531183465575666,34.813024684835405,33.17915300388663,35.26641400439634,36.438960776382466,33.380252232152365,31.188448227521302,32.03764948948992,31.056186732658,27.05804573142663,26.63849156704566,29.1863648852974,27.758612134421526,26.02667984313827,25.256879513301048,26.46176981435695],[21.336531015018956,23.299647719090117,26.684986768769722,24.299870836783818,28.62745089526968,23.017624425004314,24.18336269596764,24.785717463294233,21.309776327988033,23.72690828430077,23.150422314084537,24.31909343428147,28.074993269643805,25.531740616916643,28.209797962740343,30.942114955325536,32.10780281517613,35.396923947906124,38.46121619568013,41.5519422799125,44.69282152511658,49.09978347689506,49.58023309168206,50.003749263563414,47.75066572452228,43.30456361235975,41.82699303795023,37.809245026638074,36.91075516070524,35.5058166195828,35.28646716852253,35.385085305993805,36.697946423771405,40.78773356499509,40.55430547251627,40.24511079705782,40.13410208244243,42.5939753711671,43.66035043569948,49.61040960116159,47.60780729443035,46.67880345078901,50.98181108319524,51.80809840650918,53.34905823560941,52.90972631679123,56.628862424333825,55.98390283862481,52.764661562474615,56.848291830030846,58.330403112970146,58.956026720074306,58.98383601982324,53.98098265245585,56.92069705336163,60.130812752332155,56.51346494723747,53.88603421684937,58.334098398689704,59.86556087893859,54.67344117791535,54.296148795068056,51.20230400656979,52.82697525749692,52.11107153567385,48.404674935349725,44.32946054391369,40.64377543213888,38.1336039521965,34.23065135539764,33.870633178775506,34.57590306783774,36.12920065083221,40.682624499102424,40.08612336284417,45.858098397977955,46.33704771885231,47.97549085113102,48.4980822199017,51.0773230181675,49.40174483020056,50.66325472181773,48.339520050018685,50.31509518748577,48.09904790341689,45.31150727349973,46.2742313812489,45.34758065216826,44.54290748650766,45.07630279762416,42.14257828276162,43.286057577907485,39.24425624139716,36.77494349902998,32.8536172233087,30.956775796538462,27.66483534717828,31.06698989669827,29.121754842995497,29.41264407087254,34.109188522333575,34.68185226151406,38.17939744282189,37.83594820544019,43.101265490387156,39.304128187347345,42.27422927256151,42.888278673610216,39.16010262188045,37.27821543985077,33.25747176836481,33.656923507049896,29.213599654995644,31.353920702884984,29.660356505625895,31.491401836665155,33.442985327555185,35.52360958647961,37.43133587414943,34.12969768151016,31.656282387452382,28.889685554590056,29.48305124578055,28.033133314850048,26.124821473208147,30.72984008095499,29.305849808836395,33.68672588227172,36.44143546571973,40.24922772306283,41.67415244501437,45.35132285177271,46.76179198810513,45.83019970211171,43.516693912964506,39.263174986368476,39.05197583870954,37.295974355998815,35.78565028118616,37.48162085161567,39.35384378396201,43.12268156637038,40.66542092647328,38.8156612934812,41.30112468390752,38.13254318281688,35.87941034886018,33.66885808333642,33.43077451900923,29.2223311372653,30.13153582901262,26.29073764687273,29.440675373690176,24.962050527721726,26.025651992931987,29.52276953951191,29.449602476227415,32.171318109576625,33.41430478165669,35.86965915374063,38.073823341795126,39.42894276863709,39.965856937335765,43.60530406581085,46.21499317086165,45.07810878299061,47.47283954930854,50.07189860025522,47.74263706484112,44.10159751581919,43.721680200468796,41.25725349424291,43.58488746227139,43.420211886143406,42.924820512327344,42.52769717311546,39.71583955301255,44.638213439859136,45.89055699583702,47.10934271894632,47.394210627430276,43.48071884182079,48.83738200427152,51.98592637676155,51.137846169349324,54.656841577835124,53.57470332574973,57.3773599476313,53.86564463078032,54.46301319183678,52.8576836257513,51.407905908151456,53.01425513979977,50.85094251495445,50.835307116104666,50.952433966637955,46.24081468007629,46.764912337315415,43.965727209448865,41.20392782394625,43.139128384512766,40.04991585090401,37.25022031452395,39.06138290098027,39.78831904071996,35.02306842252589,34.44331627615083,37.25787540786805,36.09754408228912,31.164256742193853,32.86924506066462,34.03181086471686,29.725366171233777,28.631791076594354,32.433019313371474,34.20522620402231,37.143179947915385,40.775345084936575,40.46914328402376,42.02187562404561,47.3350381355487,50.12515645203486,51.87275549913331,50.97871840131673,51.20542035742203,53.262118207774364,50.73884171377513,55.48215508530068,55.01435504436293,49.5708783581711,52.221894837933874,56.41047943737059,52.93020246352364,50.81084009649801,54.296849778722695,55.291475581154124,51.10470571478044,50.111312598036065,46.27781299217937,47.06521832796931,49.39645965581156,47.17593348146417,47.83244474402146,48.59695553258112,45.69298204286403,43.743182783440524,43.93293641505139,42.49087855050954,38.811687086501955,38.70120671411216,38.193214198893735,35.14319938045331,34.0810538522352,38.10932753426395,36.19726385472361,31.747352838660262,35.252234472378866,38.81166329403297,39.80423672163832,42.917028488755086,42.929400347696955,47.222845351774545,45.544157519512716,41.32044636517184,45.59858037440267,47.45390422902996,44.52672038331818,44.440928779112504,50.21671707253217,49.20431839549416,44.89042346030163,47.86078430525567,52.284352512203036,50.41265996942771,47.09890689117446,42.57876137064441,46.64111120872528,42.71964551841066,41.69725077917149,36.98855804004535,36.225386143870395,31.372973545904795,32.77678815657855,35.36121615580339,39.09892225798845,39.65366081559138,39.81143279173446,35.868362705033505,38.33419143756426,34.00659568068239,31.45564143212566,33.28956402413858,33.79981782777401,30.946208776973215,29.177233455798838,29.17543897029392,27.744690722073305,24.683697215923598,23.92541713164963,25.469931151697672,23.68143323816653,22.112185967808585,21.32760222989231,22.932295474891898],[18.54430323393215,20.768566234125423,24.527434399837695,22.478971836098534,27.249371738025683,21.939740471348486,23.68509006014337,24.634532052573128,21.665995503660366,24.461932283393953,24.4052970393069,25.577023079432355,29.126950304617246,26.805045612338347,29.906547068358975,32.44855754943151,33.36124851054817,36.937847385306824,40.0021097524345,42.99041056452674,46.24795008444627,50.577486115213375,51.106786940426936,51.358921792381366,48.96223790849101,44.54692211350603,42.86607246591576,38.82178950544922,38.14105995717615,36.72586417688454,37.12833503885243,36.87858937504035,38.50171193296454,42.713027566436445,42.172652296229835,41.771748846792704,41.34411430968942,43.71840243203934,44.55306871741297,50.39505696487908,48.36881445550274,47.84294973705741,52.15454293570344,52.79606370719404,54.351009637628195,53.71095570578442,57.44243455186343,56.85668638097108,53.419907623403745,57.37267524086378,59.05169396597182,59.57196065481648,59.80176357311351,54.799182513343965,57.911154290267454,61.23886903523224,57.68043426214714,55.17056279987314,59.70582870646498,61.232502758015315,56.16090514382647,56.0583751736635,53.05850430479217,54.80561809115219,53.84819277434814,50.0572094234747,46.18251321139701,42.493015467030965,40.018927953613066,36.25918694654987,35.90215720533757,36.88003263644917,38.44474454077102,42.89562608373642,42.23204592015037,48.1267737251222,48.2767781966395,50.01811581136336,50.27119860455396,52.63651922765102,50.740270827876174,51.711635297609476,49.21422109530092,50.940756384437236,48.69179184654446,46.17494776464462,47.449503311634984,46.64547263588274,46.11053185552525,46.9196028315243,44.142872501301675,45.591371963228056,41.54145938818877,38.98301174897036,34.88261466496147,33.27501439999347,29.77061133912545,32.877792420181464,30.620785124159934,30.648617662725634,35.319286843471936,35.3196196791686,38.94936303944375,38.07372578995496,43.13325502090933,39.03896393609165,41.73018349134464,42.10806727467496,38.16811191872668,36.58261279264108,32.482016797206214,33.319866168489604,29.050696025250076,31.30688742775754,30.155471718601994,31.884050289939733,34.22018476585718,36.16494011588258,38.61018468089425,35.432992019730264,32.84829796277757,29.902765926761045,30.005100426730785,28.296823529445035,26.09577112711989,30.350853725841947,28.531915035995745,33.002882440860546,35.573072850665596,39.6319752646307,40.64931321931478,44.35015141147042,45.95641785376612,45.287927299499884,42.89854252217946,38.75999124908874,38.10696138201035,36.74332711635985,35.43528572589705,37.45368901868689,39.46770861206483,43.483315377652374,41.28505987516898,39.25869374255243,41.88343245202216,38.85562386065627,36.39353175668728,34.216500515841176,33.70627105914,29.493312468041815,30.106832965478173,26.559871199562,29.64250661512814,25.289336587101403,26.89486871353075,30.26941499822654,30.239805011601014,32.55754625420132,34.124836453871275,36.025292586062776,38.169931744241744,39.98167905114676,40.20430448134792,44.01084928667484,46.25476769945426,44.901964821502965,47.073196200447036,49.553077970271296,46.976613410199704,43.47375298007685,43.11772931177322,40.931820872670684,43.4779673612981,43.48886306987355,43.24728782408745,42.90232578476617,40.42145391951708,45.322308063943446,46.44813716919516,47.450159283350246,47.521831044295055,43.379217267486354,48.576775171183144,51.65571060697869,51.04686010612248,54.72210673582007,53.94232609383793,57.58640841210468,54.21533846631937,54.49751277966607,52.69908893071809,51.125985007078214,52.48938927932617,50.155452986715595,49.94301719214378,49.800477254811696,45.015290772390784,45.39719917664503,42.35179022307453,39.77814304373759,41.40170734963438,38.46388911257832,35.708873708614966,37.11996684196025,37.77492540950148,33.09611757323895,32.285066525779776,34.91187964507653,33.84877706635074,28.81606461414938,30.267026243061128,31.34008692964978,27.14491773096891,25.855738248335594,29.439863717381918,31.32237200184351,34.17973081878238,37.878887931338554,37.752822473757796,39.2379610558744,44.61668780879987,47.239175073527534,49.15411471192496,48.5124749920083,48.915641510977814,51.1486318403247,48.859367854811545,53.58251919830083,52.868773850733106,47.537942184249054,50.40686376134587,54.435042663305325,50.85200675741769,48.94117916653494,52.57406405961882,53.30005381042209,49.05190370627747,48.46338465985674,44.45317779222163,45.61851579392734,47.852710857156126,45.49103297980265,46.38817663508498,47.08133652004525,44.460045557712014,42.311049404062146,42.240281063577235,41.070060695135155,37.446637710994956,36.93419672939536,36.418966674467285,33.44595109828929,32.103007064445634,35.9705202391224,34.100307367734075,29.547561220647697,32.786235578244955,36.338237403763934,37.30996512833944,40.60388533837725,40.84468328917515,45.05230026614778,43.09022081521754,38.95832503059456,43.407719460566945,45.01325074299918,42.00110348740844,42.16812533988328,47.86102538513907,46.59954896358366,42.39480756371328,45.59283768319174,49.82905801404245,47.7835156659553,44.54193292088729,40.026650884654366,43.9353217615315,39.99567396895272,38.79564532990595,34.23880086557132,33.6331614555339,28.868026625378143,30.212389805748163,32.97569482644728,36.69972227097756,37.495063329446836,37.66983551446024,34.08334971890159,36.801474758409995,32.730003367251044,29.86436911800803,32.01209898029841,32.32809018019813,29.91018139867583,27.941684544985772,27.41474205300089,26.206099939144867,23.62325459445532,22.138022350122387,23.399227684909828,21.925324475219053,20.651253002793773,20.204864385061697,22.119049414011425],[21.530648194016038,24.1520682732556,28.45980840027916,26.617058068963267,31.9641446461925,27.27287742439246,29.385424396087807,30.679843841954828,27.88751655186506,30.592474016667296,30.65294609401111,31.97650462804462,35.3778026238359,32.84179984422386,36.058020092885876,38.69281793261554,39.3960841752106,42.90300028377234,45.66268682058726,48.86331498138206,51.960250332987904,56.35948245228296,56.6890391777094,56.76967020051831,54.535191260961504,50.086462338214226,48.586034564568074,44.624376469044336,44.186667521849365,42.96794438733322,43.30129791523092,43.243210249474835,44.83845665465412,48.98892236396766,48.49603830788068,47.98788060420476,47.65935454692061,49.823819763324295,50.53973352505364,56.40544226409199,54.151795128667196,53.689873487567645,58.0472543436582,58.515343455718195,59.85726792075331,59.055143480690724,62.77753160718177,62.448429734905986,58.98502544829086,62.922660334023774,64.81048349790039,65.40716368851004,65.7553820120136,60.7563595842869,64.0486370807597,67.28710067176242,63.62690226642894,61.280922547769755,65.84795940633073,67.20248606237797,62.1022307495308,62.053805705905695,59.11880659747374,60.64379264734368,59.67643138420284,56.01787663566814,51.93417840454849,48.385240342539575,45.634202005359214,41.97906753316695,41.366464161342215,42.088439449121964,43.99283715712211,48.43032383774277,48.09591478984663,53.99977615219011,54.315207389869435,56.14951471084428,56.4801522670175,58.84574993296266,57.04556317560493,57.94750092760619,55.5157051398154,57.12780623723516,54.77082203725986,52.37865537211881,53.62580515056024,52.97206461670392,52.303745788328044,53.18363000323328,50.28366215283046,51.581159508949405,47.565957819726904,45.120062919502764,41.07529194366278,39.33625494818639,35.9008847011036,39.21116870688303,37.02478727376509,37.00448694196395,41.740431477101644,41.646528203632144,45.314755170229105,44.270648839909164,49.200577672288524,44.9371157415718,47.433310394638774,47.57984565914668,43.46402901676116,42.187562232365885,38.01924587505324,39.09952568868632,34.92843036615701,37.03521288706631,36.02728859019683,37.45143921941088,39.877598575642565,41.460100796362546,43.985395296106994,41.11231004131336,38.3312499841312,35.520550592090686,35.255863318278216,33.725504597919254,31.664934167843793,35.71615504811838,33.93910885962585,38.399290959120385,40.872116706745125,45.17086759539117,45.72067284029063,49.50878849470784,51.18851040629733,50.85387939704604,48.23833392894707,44.15684476710415,42.98696173894689,41.80905122288206,40.41532171598876,42.72831211597714,44.3940190537788,48.56666535688648,46.66557881900105,44.74884569784171,47.58547595164007,44.77117547795763,42.224049285868674,40.270405344849166,39.78235335499413,35.638260629006055,36.20206617412489,32.81193514038345,35.78009536996793,31.332552764386673,33.17551965226536,36.60695097123236,36.62502621064849,38.829295060296474,40.45271445969622,42.14455514439214,44.099991943370334,46.041248668397536,45.909754105161696,49.86990211433331,51.83173797707878,50.08038606304598,52.26398719922315,54.46017510731254,51.744626872911496,48.3078587933599,48.178364285856055,46.22228076670311,49.09624494690682,49.33863939072502,49.296657566699,49.07710346451531,46.700330307427784,51.63623353755498,52.64352899812217,53.597598477420995,53.445393144694144,49.280696989668584,54.333281223524814,57.318446919607545,56.787001655668774,60.52644774665683,59.86364286490354,63.342038372473986,59.885422046276574,60.036081207546424,58.114950861780876,56.60197395579876,57.76914734088727,55.32643124564779,54.99076834844569,54.60101405374161,49.75780832181999,50.098994173041675,46.778665431737664,44.55019368705681,45.79232913787048,43.11476974179254,40.42178178249291,41.22516696954001,41.80454649774629,37.328580603166294,36.06021971838499,38.37541409800823,37.4941515006686,32.404300425863724,33.28123415007336,34.11446590905419,30.251154074764667,28.563111013272618,31.446668365772318,33.56335076643947,36.16226971512662,39.916175025332954,40.34579464378917,41.65141535173389,47.128945539556774,49.23307846990048,51.60029376679777,51.51474308409558,52.3112784492798,54.84039457615131,52.972155879891666,57.641171477936986,56.52272912048123,51.42774061069022,54.627197041992986,58.35894011714255,54.595369758339054,53.032386436339266,56.84299451479547,57.08175636249688,52.73473719999146,52.74498013790608,48.59987081090834,50.34671424102857,52.47034890777251,49.94026089837412,51.13329154383538,51.64957116868875,49.418168063131816,47.106376819569384,46.611029707524246,45.72855518460692,42.30744377971903,41.28955363039878,40.608635674556844,37.75028453400503,36.15354227154926,39.58264782053904,37.6232081998043,33.05804503578611,35.84087668127546,39.21107668343702,40.2990891720792,43.9107535692284,44.636433564037276,48.65967111513206,46.16116039252828,42.33252226409879,47.059837807043465,48.16232443676458,45.001715983808516,45.658215048826634,51.1423453005681,49.33003219845955,45.35008320598687,48.95953380632965,52.79917477562564,50.314702714052096,47.18939215489239,42.67119504196585,46.0436893923004,41.93607550708328,40.57316793895314,36.39856281963753,36.41434357025857,31.942494614283778,32.78273032734196,35.904042246242774,39.45763417526268,40.799043550834384,41.25583577135119,38.26523479405327,41.38050880258811,37.60918285816358,34.54255527556898,37.10878208766457,37.18197634880268,35.24567783929296,33.136396446753956,31.985680991685538,30.996636245278886,29.054955775908127,26.796164364211972,27.542262537404877,26.361165599065828,25.43299263306059,25.17777308564208,27.18198034848303],[17.727884829381917,20.739024904155972,24.992480659731857,24.327927021612208,29.336658259265135,24.13836611622899,26.649828014200907,27.35650249764455,25.26252213719338,28.752218199482506,28.920306676275118,29.48834502058268,33.366096074194935,31.671602262677066,34.712202859552065,36.960641335192925,38.113739636834474,41.92282206898566,45.29555179612518,47.98363084528539,51.458157306084594,55.65033932294075,56.39008363348547,56.667372391235,54.0510887670118,49.72085876425328,47.72108318118522,43.60484153589085,42.79989316206402,41.014458641574656,41.82179460062592,40.912325651067924,42.49814359271963,46.95899835780127,46.36602582427046,46.2673553827145,45.36049514768388,48.128201157251326,48.90967058362694,54.52105846090415,52.81089655483438,52.628958356596364,56.85765016098164,57.524265016158346,59.28454199924679,58.580657249096944,62.30617980041888,61.563331435689655,57.93749793990247,61.70626622338456,63.387737149271736,63.661407032809805,63.97408563579795,59.019228674772236,61.98827044164861,65.59563500883192,62.27277077858245,59.62516166053571,64.14378021030794,65.93985092074206,61.02011821013379,60.97084112278032,57.894443084054444,59.9830571466333,58.98308256878872,55.007862002530665,51.47377193734116,47.638517331303866,45.48359320546193,41.6683375285032,41.5398571950885,42.69067252174786,43.9870641807319,48.446221804669136,47.419944404325214,53.224640364807996,53.177769905976284,54.68353526896215,54.79203135165812,57.08932957720363,54.81228988462847,55.68961493051905,52.7563530214613,54.408997307946684,52.413530142070464,50.048879271743694,51.73708924551925,50.64942384979463,50.64430057843884,51.27154682265962,48.831067154123325,50.43383054346161,46.316155718087025,43.48871372843896,39.4455306119677,37.92309749776749,34.51395449689915,36.91265969364643,34.31550632999169,33.43395615971213,38.57893903159587,37.7893977603511,41.96430142333302,40.47363968214067,45.502329806398386,41.21142267531692,43.33404263392013,43.72314953659971,39.605100303711254,38.182500355598116,34.33517901338784,36.008150542543895,32.13780552777683,34.89025537373221,34.42045078737211,36.344225854931466,38.98656642116604,41.070505138460945,43.90835768379156,40.608727572483616,38.138637062920466,34.9916574653036,34.918444888877595,32.81184916792897,30.12009766512784,33.86235025371082,31.089120371282053,35.64272403741814,37.73416440374855,41.86585902339917,42.61707639647554,46.04886738203874,48.173333838898714,47.5463299386057,45.534687174145894,41.69849943807818,40.73990606176944,40.082290371491474,39.26377545317823,41.497045649197574,43.95660437168959,48.127206648050866,46.03886186698688,43.73231703719448,46.27349371757133,43.186483347197814,40.61342830132704,38.15291937821508,37.11382151938804,32.8030690987085,32.59985707380546,29.099444050577414,31.392473184979558,26.70554794894804,29.18725634013302,32.75144164482445,33.33374457279368,35.205161007216326,37.47322272116693,38.87219673717761,41.45165507058378,43.80709125356673,44.12365966400403,47.909354212057885,49.91665862880806,48.67194081584015,50.37597226220172,52.89009616987305,49.97589867512769,46.76065400956448,46.21453534721285,44.36916558606876,46.838594184490475,46.784416779609884,46.613762580937745,45.96866670758789,43.87030699731264,48.428102630598936,49.81210167126965,50.44871441684039,50.7055368889132,46.088825408502586,51.135435694343705,54.205371244609246,54.076094350550356,57.92864699686311,57.53970132687811,61.14074613860967,58.17930746568973,58.09678240955532,56.114914740069935,54.20199119490776,55.285915509007175,52.732646734916834,52.17259379453342,51.64698905046295,46.83005604840598,46.71506404170041,43.316985841994736,40.77151708649217,41.64248690639866,38.66177149213878,36.37541792231409,37.30719741049901,37.33753679568378,32.8821258168789,32.42942176622607,34.2465297853996,32.63509732961215,28.108167502433954,29.25608007998438,29.594039463144593,25.50869835966583,24.652016164597118,27.53708579926267,29.996743586599745,31.90999074630068,36.54123446672158,36.44303072239118,37.33760694739354,42.770969650933615,44.7731956486031,47.05425768161896,46.58767080231712,47.484368715434385,49.87635282814399,48.04456392002725,52.828744128476494,51.90055780407998,47.032390631453325,50.16971998140505,54.09422079367857,50.60629935704657,49.09630407237009,52.97746759729265,53.516871893597845,49.29963391938482,49.41996309481686,44.943986931061524,46.33387036947564,48.15714387053993,45.27042974815011,46.21295359850933,46.33798559820573,44.242958685117294,42.24811084718619,41.33389137041559,40.235244226523726,37.15072608766812,36.17408594169984,35.043727882437736,32.13873515097403,30.893409350765893,34.08384204890414,31.839226320004933,27.43288541692235,30.522214364210594,33.73154241730269,35.13850587957578,38.632237410567576,39.48074147832289,43.560776077371756,41.18157411654921,37.68126475249194,42.412759588707154,43.67548622116208,40.72324773045406,41.61679249855011,46.992264846078264,45.49075012996968,41.81221487500133,45.40814852293839,49.2005926138173,47.04571855824313,44.15841135878308,39.84348468857739,43.53784073888327,39.80924853727102,37.896577738930986,33.92133910235418,33.276013514610284,28.808919856352738,30.522158572921665,33.512285019776336,37.21684067344731,38.31106842206532,38.0909896189996,35.19630666684356,38.0120351506291,34.5239718737763,30.887466734128665,32.83131240451285,32.42346346676588,30.481021184310332,28.953721005592705,27.413016124483534,25.895086804629546,24.64667947215748,22.65790691407203,22.57092473377868,20.929931190861147,20.10954568666991,19.8216010690018,22.008875553090764],[21.32697511951512,24.0433013792814,27.83761945230687,26.825339467600756,31.29322454930831,25.44860694952775,27.30526699475451,27.39705743079384,24.733101017716265,27.983160241457277,27.466769228630714,27.787461251299348,32.16090047051799,30.372124286290628,32.77773420310069,35.20095755645504,36.85133209865084,40.3372151394511,43.86075425930351,46.587237453606704,49.98316146439053,54.24796195144129,55.00639544974834,55.571575971651214,53.08332554082395,48.722737014583444,46.90206418131029,42.77306348568732,41.566517561700955,39.635146451609124,39.64576652003811,38.99816573042613,40.08904964665626,44.47805696741412,44.34533440555162,44.51579052745907,43.91566427922372,46.99133633144505,48.13033289969309,53.85856398127312,52.303790093019174,51.6014504160319,55.79901732946522,56.779690911453564,58.607696030788716,58.204552505959306,61.91943736078162,61.01389959499521,57.656486465266646,61.58743050988855,62.9480434220049,63.30957693587364,63.317506906397924,58.35899694226499,60.99874531255029,64.53324731264166,61.196117417419764,58.29003111528779,62.67290514639852,64.5930038208726,59.52551599240115,59.05378456306864,55.79194837831865,57.833403366625554,57.19918818830458,53.272871334500486,49.56524800935191,45.66357496149773,43.59644893684604,39.530008228498005,39.50790342600163,40.34177160407519,41.483576277130744,46.099019154950874,45.00577572514051,50.58192266987339,50.96288283589228,52.208448125889866,52.68431862100445,55.30259004938053,53.2239430259244,54.54229851611656,51.7154754305995,53.761313158842334,51.90393996207961,49.13752879695685,50.48668200021926,49.08375046106614,48.85884758084013,48.974555516142054,46.42314341964327,47.62007140853413,43.48406454550448,40.67145474808827,36.91925100864493,34.99576506491685,31.942056799768235,34.48158458130145,32.20605037944508,31.366309452617596,36.79167117092612,36.63497478325354,40.829808587927864,39.991099134571556,45.40829020777707,41.510195925542654,43.956675622586445,44.763142308099866,40.91370885823887,39.00500297679124,35.30768477901548,36.522407102271245,32.424929823300694,35.20538320570748,34.1060661121693,36.29561187233837,38.484086780415666,40.86197383582404,43.0395107570317,39.4688871152227,37.20656342332216,34.21425498800005,34.82677797242994,32.93150409910628,30.46419044158832,34.675780316326936,32.19428962457984,36.71900733086949,39.01437126044663,42.7940184736544,44.17869130258675,47.526403688023514,49.49058737046129,48.41453255234588,46.6358797173715,42.656342780384485,42.34307225445939,41.23621042549983,40.23660630405946,42.04237105455696,44.47088987747875,48.33630466828404,45.84585354822119,43.693022185595105,45.996201400852826,42.631792175933754,40.32873544744619,37.680311029649495,36.8754317863931,32.473977010142,32.473059404465324,28.43768392848047,30.622540245825803,25.513351523694606,27.458224472221254,31.355997252629017,32.09982616476305,34.49451691625291,36.51305165470651,38.65923088852875,41.518250302869895,43.34081778372927,44.21164177945558,47.746585701011185,50.295117803747495,49.44349142559525,51.37694972275908,54.133716980736686,51.50453331566695,48.11375394675545,47.45298380715785,45.22865260062221,47.32816708372317,46.95541263864377,46.38441014915861,45.54053500901796,43.015338971830715,47.51850132056032,49.21492539635715,50.08830188478291,50.770256260591815,46.338606145786365,51.650907561224685,54.861649656317276,54.47910881253156,58.1583081093751,57.39266844289274,61.26460718398804,58.20474310301307,58.51947417301553,56.78966684255887,54.95579105736907,56.3675686640458,54.01400112319726,53.679037283022204,53.486704175211216,48.747847832695825,48.7372182381522,45.64313806945596,42.73720682825454,43.97834087035479,40.67836676573123,38.40003016339826,39.94836087976286,39.96172678487061,35.338807773925204,35.382420366173825,37.39979801446695,35.47170529491853,31.16074009245664,32.75360383600096,33.13857448705732,28.800137985343426,28.369363057024785,31.62411078064144,33.99280240945201,35.91917518402983,40.63734968616898,40.191011429195285,41.10317098912604,46.45579482602165,48.66345765083969,50.70848855493243,49.79296114174137,50.47496515204176,52.58785012646727,50.426445765752405,55.2934442989617,54.76107190761113,49.7682007533614,52.59746015585442,56.81658713901125,53.519892602619095,51.72146860828255,55.43310299847676,56.41553642513519,52.28999697924436,51.867480535638684,47.54094917361054,48.32368314513336,50.22212303482363,47.42686673296036,47.953352391846536,48.061290476553886,45.57374569104912,43.96015220609283,43.29715107305773,41.708421552371895,38.62464181913965,38.25617027236072,36.985183477971574,33.918093892521,33.20029415852648,36.59144475974902,34.17042209720457,29.940497078816176,33.55075643910201,36.737071422038284,38.276667190835525,41.48909130341972,42.046627636150376,46.288266040638455,44.33629220926039,40.77207906279639,45.28607172924807,46.948193095395204,44.14946357594873,44.74176082947769,50.24025389982016,49.14420881405493,45.35303065437813,48.65183062415025,52.71371112672084,50.85014150063398,47.89004547418376,43.57012388460602,47.55344971790569,43.87520065662091,42.11656211560324,37.918702003581906,36.94791811818542,32.29272022749895,34.23500346356268,37.000303058400455,40.79170821406326,41.52780615200348,41.16948007620386,37.75268088027732,40.18927286787145,36.34804222984341,32.98935269083182,34.36582780812877,34.11655003348461,31.47913071993922,30.3858523026893,29.508446244980124,27.491467731201155,25.665120175508253,24.774156350310324,24.96134410864624,22.660023564874958,21.354413933870593,20.4573591179709,22.27726698520027],[24.51171661869899,27.41972470793332,31.493576072266723,30.46318509818844,35.23253537064465,29.62406089365864,31.57015179843631,31.82322299175343,29.08914649651844,32.183603029584894,31.60519094749809,32.05352280930074,36.38987756082277,34.37197563465628,36.74557964405076,39.29808994162753,40.89471135118079,44.255710176123465,47.597050976268044,50.50149845697358,53.7645606130812,58.10967797520668,58.72907174422436,59.25057368864867,56.90900121637895,52.5035552138069,50.85863050716478,46.77159444154548,45.64370707007545,43.83456748520398,43.59159840096073,43.18193677063069,44.140485302211566,48.44717347655873,48.462898524058254,48.60601130767171,48.172179355607504,51.15790273200868,52.30569793476079,58.09893551441876,56.4126243290494,55.608919339786716,59.84149492512025,60.78305824073011,62.480037185213604,62.04949290538269,65.76335700709295,64.98946643597527,61.68337561185606,65.65432180348571,67.07930634747352,67.52537147909344,67.53071293912326,62.56832315605563,65.25256624426575,68.70362765619552,65.28361034705603,62.42358346555851,66.80000674966598,68.62837527252086,63.49051793787956,62.943282027909206,59.67770468392088,61.539970574176415,60.99785015043308,57.17818487401754,53.26140968015479,49.44070436833503,47.18255737871004,43.12097328433223,42.93382285147449,43.50445224708517,44.86007282349847,49.51346649514258,48.65034774410533,54.17893815918731,54.7987824962766,56.051406621824206,56.6840874739077,59.38904830234343,57.44134049599515,58.82528089493471,56.084492259540696,58.14788259572721,56.23872609156784,53.454114125485724,54.68633011258024,53.3225982779246,52.92668112348292,52.97272768499075,50.290517193716525,51.26706957075054,47.15842560205938,44.44881121697973,40.80741522069048,38.69294862465237,35.76689827907428,38.53496896552317,36.41087453000793,35.6228557320753,41.0973379760517,41.05877201452359,45.24607660568577,44.46519494552966,49.88104316987015,45.95386080631758,48.36237020130249,49.10226235998025,45.18941312660829,43.37961028716238,39.64457624768639,40.88935217546096,36.76999329690446,39.43510401650063,38.254895854644076,40.293755247049084,42.43832875274775,44.64452883095589,46.713325259077166,43.27711191678228,40.910128126064954,38.0385379681506,38.56636931468575,36.84292470775716,34.526127090282735,38.763874025517595,36.41175101085391,40.94334941131634,43.248951165785506,47.12592268017851,48.34695008730594,51.75314477599748,53.72119676173413,52.765318871100106,50.86813512399299,46.86791678293737,46.36206332784332,45.244696166234554,44.12126974967903,46.02863291088989,48.21318924077538,52.122907814262774,49.72128111290482,47.68045751929433,50.08624879822597,46.7942518439219,44.49000130230338,41.96060044689908,41.25063805142853,36.872147978994434,36.93713106606591,32.912071604144046,35.05627897734387,29.867854579049784,31.79554938071286,35.75631724976166,36.51341895417976,38.96121051543415,40.91971201244874,43.10849942856844,45.87862014824383,47.65065073121381,48.401872332785665,51.99665685250484,54.49630189136689,53.462637700086,55.480345174261714,58.113844827742994,55.459797305948975,52.04949655430819,51.51651873442784,49.3377762310452,51.5854116420251,51.29898341180698,50.76989013680441,49.97988848317776,47.408645181703776,51.94321911102166,53.621464348872635,54.53330717180878,55.15571445885485,50.75882273047504,56.049303550473084,59.23666383316764,58.82848118106113,62.516944614353115,61.72301444340848,65.55889270892683,62.395419423261814,62.72878194188814,60.97888477733244,59.20845287005947,60.57482562088957,58.196407679888985,57.840254487348666,57.568951546880214,52.79579689325085,52.79207907544156,49.58196122256141,46.81934242313295,47.90597212060159,44.706856301442706,42.45287692850524,43.74217559006737,43.714041606871454,39.17736207652123,39.00760348375345,40.88590582618834,39.016516515931535,34.690625392494816,36.00693399441375,36.25237623628797,32.07371138322802,31.454301833555252,34.347268506395935,36.8548707291569,38.61115294148207,43.406037416144756,43.242918361529384,44.03649648133967,49.44197114822955,51.33880858538401,53.63816107883304,52.991972021565225,53.89541936259515,56.145003593590886,54.191558600425886,59.04497076818173,58.33323512319881,53.46756487577571,56.44902417697215,60.54304490014012,57.168734858955546,55.530296985226656,59.32530857340085,60.09063361809066,55.913538136826816,55.75417226711116,51.367521077430446,52.39846503253115,54.24936922223942,51.36448157159688,51.995310236843395,51.982091072110855,49.66970901610255,48.02848896106769,47.1431633319647,45.64226980759727,42.69262628532432,42.117282178780385,40.713312815557984,37.696881924528704,36.91020159930907,40.049408054035,37.533907820736424,33.34068866640289,36.744416149667536,39.796674913179984,41.448297854188205,44.81252057011088,45.63555240433853,49.78943850586668,47.56955805048402,44.19616877940023,48.85193681912359,50.26967519740888,47.4044654946936,48.25497455980719,53.65182321142718,52.28176237177087,48.6085003741081,52.116988420184775,55.98526228593701,53.897583641295036,50.99399827304283,46.661440194802374,50.37415776969602,46.59309400154429,44.754106739411185,40.74169562752122,40.09354060044538,35.56170562230388,37.23584008534733,40.18985815481369,43.90826797228359,44.914939569745314,44.71464484863792,41.54472429300097,44.17180501803647,40.41659880985247,36.999446653399374,38.56398219403703,38.21272612327643,35.755279650488184,34.610351496939714,33.48563730576136,31.548757519314293,29.971999360604663,28.75999638528997,28.73437839974246,26.549112185854067,25.373312496060688,24.525298009248758,26.294007499006224],[22.29951628026819,25.463899922478753,29.772248623302225,29.295010885128015,34.28965314321062,28.995393008652584,31.41938745436139,31.86188940178543,29.64336536658173,33.07446201870119,32.9066981019497,33.29088790244126,37.48609161960711,35.731259968819906,38.42718387163765,40.78504352010535,42.207727267309764,45.83937819112825,49.24214234048625,52.00501942454066,55.40600197630834,59.66338548018355,60.36503548999738,60.75656422396377,58.251662613085934,53.88930887131736,52.02014061056798,47.905025973551545,46.924186461417946,45.05257291281646,45.38560297577369,44.59874027162283,45.82999989774029,50.269632677195766,50.00173903604461,50.10374469694451,49.3367992534076,52.307367659853234,53.2561695459699,58.919614893097076,57.278599106703446,56.853707077555946,61.082501976392294,61.87818629250174,63.63481512889488,63.038272301172384,66.76068142102658,65.98884719758294,62.470998506921184,66.3035241993125,67.88437944875294,68.1924398683651,68.38355681748772,63.42131413351011,66.23028872880015,69.82158615026752,66.49421462109385,63.70995681704567,68.15177461749143,70.01929573516809,65.01184377753906,64.71035759070503,61.51468059515728,63.544222238286586,62.78287975599447,58.85320028175047,55.165184416866204,51.312720451966264,49.14072127137438,45.17731260608949,45.03715366633886,45.88721452410851,47.201884475630486,51.78189469394033,50.78999875773768,56.43123208870468,56.71834646426636,58.03451965665136,58.40058881436129,60.906834764135965,58.71113834866247,59.83288432712321,56.89215717347798,58.74327956703634,56.850153809424036,54.30337104251512,55.85089739811391,54.54998689169579,54.462198636598046,54.731685070575125,52.23279968575405,53.51599540513489,49.38458475632339,46.560015559478664,42.75149797327218,40.90963689632952,37.787244761194906,40.23567656953712,37.81397958585845,36.732189780191604,42.19638951183576,41.59071906341534,45.931661168109265,44.63598590488739,49.84639509071013,45.681054429744606,47.77068415418672,48.330943085153635,44.26189476871497,42.715754345488975,39.00354649583103,40.69494358378507,36.80326738669884,39.616042811857085,38.939626188353,40.93782228284723,43.405771267488674,45.54619540106072,48.08338970995258,44.710680293039964,42.290357124978115,39.24794138798969,39.407301437647426,37.43286065604774,34.84078477235945,38.71363580626255,35.93838873169951,40.498023879921696,42.561642431395676,46.600907769094384,47.470428623702894,50.81578508663686,53.012761884999506,52.26228502151728,50.391757272839364,46.559525427546724,45.6928914333886,44.99969882072869,44.126845152569196,46.277951368327436,48.65596512410331,52.75382620035883,50.5611803150547,48.33792574991005,50.814904794226734,47.62613395788061,45.1542084009865,42.60770988953718,41.61521524318408,37.24734386469372,36.976044885182944,33.21931417136894,35.19792219821293,30.136681235501744,32.57364149818768,36.415328280128676,37.26473174993164,39.31931728397844,41.61345739932438,43.284429287485935,46.064785531761935,48.26271051322934,48.79609447229514,52.499307610704655,54.675038189199746,53.51954524735631,55.27016519354036,57.820144292024594,54.936352567000036,51.700815527371645,51.142319668898104,49.23747528547995,51.609983046637446,51.44215773226692,51.120346121930005,50.32711828389956,48.087861811995325,52.54507741902919,54.149714821845386,54.82646744930257,55.307483805378595,50.67302285291597,55.79649593912511,58.91892586251211,58.79174718484233,62.609819754120835,62.12448339569738,65.82212701845623,62.85016242377211,62.87673191504547,60.955878897215115,59.0448727784445,60.17858153657425,57.63078331902486,57.053428827447924,56.512163362636,51.71655691767096,51.51156988031394,48.080208455644815,45.48027237118045,46.183059866938876,43.11705642404405,41.01083565365989,41.90579591932216,41.695607825166775,37.32158202734495,37.07361568311731,38.61559788163899,36.71896563607214,32.50166264083236,33.552048449879614,33.55506648054853,29.554622212981077,28.925404325998883,31.43606812408883,34.12444330986105,35.56475668534322,40.5826010915319,40.543947696911694,41.14600925461963,46.563468900432646,48.19370964296016,50.67679645073373,50.25730398132908,51.384976198473936,53.78521647660782,52.11348450926372,56.93387475111549,55.99739782996649,51.33819888787809,54.511685566965966,58.44227621150938,55.031951112904366,53.63639414490171,57.568536546125095,58.09670705642175,53.904950071504025,54.18511172448094,49.60419490135987,50.94407102078627,52.633679498496214,49.56399641444364,50.38535809519461,50.21673744658887,48.240171526318946,46.47906033338517,45.24626391969116,43.991011997311006,41.206303147857625,40.237490540818,38.72855462521877,35.822350324214696,34.845365905000136,37.68287532264548,35.155724624158786,30.973943835423018,34.086571497243284,37.020707956424545,38.73323494566257,42.24609685310845,43.358814230769426,47.38651829093573,44.88493579054304,41.74148123254604,46.541144165029024,47.692246525075745,44.8028005712351,45.98262649352825,51.211134373245145,49.62237492044011,46.1760712703464,49.90042807274705,53.51633862846833,51.30305367885144,48.5531823659435,44.31088676450475,47.848821088659584,44.14815930704296,42.031580358986126,38.305733716027085,37.74672329424642,33.41025443488348,35.120953257086285,38.19617566901817,41.86152051085086,43.07272211076263,42.78838633778094,40.04248172828684,42.82881977068799,39.407996899886115,35.664927736741674,37.38783309655044,36.763933812985485,34.75489166332854,33.56028069409968,31.88262689269785,30.08326891094333,29.13883214694216,27.353528912899698,26.84104952117649,24.90793429723643,24.06499011728613,23.50722005825226,25.498081307048544],[23.707866804742423,27.051870451622186,31.265882574501166,31.521764741184143,36.275389755416406,30.832194056936867,33.39995439372969,33.4258353576618,31.59357815946068,35.3350822819966,35.093173646581434,34.995774985335984,39.50780011608124,38.18200826384172,40.61033267779688,42.784920485226316,44.5410195497233,48.21628822789008,51.91190711115671,54.42766517141407,57.970457672760354,62.129186849459266,63.01484734341169,63.546063002505136,60.90849751341285,56.61771467432366,54.5602258760178,50.39735028995088,49.16837178246702,46.980494733959965,47.354499963203544,46.169936797388615,47.21474203404233,51.775587911754826,51.60733088090252,52.021935629218376,51.008330287801265,54.36770707203788,55.41234172880316,60.92062952958749,59.60486817060107,59.2380646827175,63.377504523199256,64.3287856969246,66.29516799744097,65.79036930748583,69.50511218052446,68.50845750517068,64.96357873740469,68.71912281937226,70.13893254404688,70.28149466412165,70.40011211575613,65.48802511497328,68.03796819449043,71.80496755962938,68.67432083882727,65.68939394386729,70.04846504778179,72.17532653746326,67.248988783281,66.83973366986604,63.52757002250575,65.82279258454562,65.15029134691602,61.09419802011421,57.644015461569296,53.66226937514873,51.79807433226253,47.72357438369379,47.815413733023604,48.73842474932862,49.754271729479605,54.36623902958289,53.04397374146463,58.522329390525066,58.768496212890504,59.812426447603926,60.17463331260867,62.72298966035462,60.311317478692544,61.52214724576067,58.31502333655061,60.25701963870071,58.615742504370196,56.03334984524381,57.75542386330854,56.13415338173614,56.37242534468169,56.3374632293445,54.0805798699759,55.36855956463919,51.208113160446686,48.205499161307266,44.5501998814753,42.69699892260029,39.76283376174507,41.709618849273426,39.17801445880073,37.51426560376518,43.29093792524536,42.36555920052728,47.02795529359208,45.567282594721924,50.85426877804369,46.76526056110331,48.57984080709789,49.33362581224961,45.31665503409987,43.6747453935979,40.26064682504528,42.29207852707998,38.62366469901118,41.76139270675839,41.30193826894932,43.54822580384619,46.04071278740594,48.423568220910184,50.9886771715096,47.40963674410802,45.17447422845528,42.03855268798555,42.36053155140272,40.18001848459679,37.35076394236826,41.05120662572108,37.784222868140596,42.32865159289281,44.133318211548065,48.00732044115667,48.999416515361354,52.074013943612684,54.54802431300027,53.606783097134645,52.14364115559323,48.489425069321996,47.74683794152051,47.342437838610614,46.75290787115691,48.83363531386402,51.551840314486476,55.60562112531062,53.30684317396657,50.93516397551698,53.223895245707105,49.88489291863698,47.457469019717514,44.643183572757714,43.38114839932904,38.95997399026307,38.22760143111065,34.37473196112724,35.754130649729376,30.48843999581095,33.23199018545193,37.211052857723224,38.50578876071555,40.41137960381032,43.0606950760701,44.65243204104123,47.82823806692059,50.177661179912796,51.020730937594,54.57644712284367,56.81229715446664,55.94998312524391,57.44621777162844,60.15010540259083,57.17421950972673,54.07951847673151,53.309729201716074,51.47363265607334,53.58898369237577,53.22387567062124,52.77916133588808,51.690551991721115,49.57707091821172,53.72742658593548,55.63170950072995,56.132027522010475,56.93179300040155,52.06739146480156,57.166458987357196,60.33021871380137,60.46101267107729,64.29049935749,63.93407558600224,67.70607753958204,65.02203757142156,64.95376380063801,63.02767158439105,60.9060576117872,61.995001903265454,59.39498347731508,58.67421567799732,58.03133262500878,53.29273111182187,52.781891188961275,49.29834394401082,46.54637674939766,46.905343719917774,43.67889435011738,41.940023435943054,42.82643483332962,42.16504154647297,37.93801190976905,38.23658383498863,39.29506097034634,36.8613331796903,33.23594282473841,34.323592591480015,33.83320066416342,29.879798780048066,29.851815810092894,32.04129265618262,35.00372436427797,35.72936143889557,41.38766584902846,41.11313600289335,41.28703296430022,46.59895352617863,47.90543829786469,50.45547870036499,49.87829108919414,51.21987979667844,53.539790103243014,52.033925200440066,56.893003999095534,56.04114852885474,51.689254319654125,54.84654878730984,58.8372064156493,55.64041733192629,54.38002323012938,58.35744815406793,59.010056684689815,54.94068443512378,55.41201912345042,50.61886355460131,51.76369758377148,53.17948926662171,49.81532143183678,50.440101260194,49.85861126881311,48.08848920135731,46.64936389164329,44.96349023633784,43.53079432377901,41.1791947724294,40.208682764205456,38.221121537511706,35.34974608508758,34.74222379475748,37.13484963139259,34.30107222335184,30.45157508269082,33.6569527678554,36.25357691900314,38.32361081071335,41.74207241387266,43.10561472502208,47.07188394879818,44.5600918233186,41.886147030647635,46.68087637507949,47.81155766774094,45.10673710084589,46.604618609548865,51.61232012365847,50.136075548770016,47.04904907511377,50.822100058082306,54.25047007288273,52.1870987744636,49.68259430298012,45.64417536130276,49.20006807900511,45.75669037678816,43.247381246534296,39.84490405740548,39.01436172538895,34.85350083534446,36.97046833229321,39.986394026323914,43.649289917139896,44.80675577600954,44.136209347259346,41.60173675195429,44.20039780144557,41.04365099654896,36.978399666445945,38.23648686437592,37.20620320000094,35.23985539252011,34.5736804907333,32.58883965294573,30.388240158931154,30.09801307362455,28.56292089199515,27.320684672885875,25.035568466206506,24.322324106074724,23.669825276678583,25.56920285343506],[22.522572819212417,26.015324518999304,30.2984054502227,31.18437388950844,35.980395877397925,30.90945573280054,33.84928923253455,33.98028255111196,32.67612138628741,36.662569270278965,36.75578208468091,36.55837566955256,40.91873347614499,39.87731584169392,42.51642198885126,44.48685103465023,46.11555942938716,49.99305475833408,53.75007777201917,56.09858431247958,59.75857388347661,63.808044976783236,64.78474948308586,65.22083335783711,62.43493600626137,58.2139187137452,55.951293678977045,51.78685716702007,50.66300217494721,48.404213236271225,49.27562410712476,47.73733558728841,48.99330382403015,53.64785470209128,53.240096641641436,53.646980478289116,52.32369582799945,55.688741744799884,56.565110742193944,61.90393791440259,60.67938822505224,60.65174994625903,64.75468984887412,65.59460797705462,67.63091375214371,66.99764775564046,70.69990762031435,69.67816804713898,65.96811020860085,69.57058255654738,71.09661605884878,71.09311187891498,71.3671271640668,66.48725048637017,69.10067746571752,72.99906314754871,69.98668925485458,67.05791940742347,71.44964991282156,73.63478982112699,68.85083568332345,68.64899002337445,65.3985786560398,67.86464625274589,67.00830484078452,62.85745097684083,59.652515825363224,55.647885873173436,53.902766604613134,49.92466936286964,50.08345958666124,51.24650700146005,52.18718374620549,56.71622225866379,55.25413279180841,60.791196943069494,60.73720461523149,61.80566705264877,61.929951527174644,64.29435429296777,61.65076264447323,62.630143640365915,59.234216969148704,60.98389157372463,59.39639770055033,57.04013856708517,59.04990989736019,57.459292516384814,58.00236654940666,58.13373825403656,56.07291631047927,57.62472857289988,53.46395586652683,50.36596678241034,46.60778951571226,45.00198319994029,41.94376524486827,43.558424656999065,40.79039765875667,38.84468744966335,44.56424193038013,43.11413422189428,47.89256492287917,45.969631304297025,51.02916985083776,46.772910821335216,48.24117368856542,48.84839897665227,44.7405119793628,43.34510865482107,40.042518714151576,42.49300643017631,39.11127233095357,42.376126199631514,42.383787112052765,44.60328718625826,47.34518376499778,49.68575690176459,52.6315362326398,49.10487379674027,46.866975905152735,43.60724258181493,43.64418224973344,41.251139811143275,38.19904486796983,41.507001335918005,37.84549273614152,42.343797469643015,43.869556789158835,47.81674795544076,48.503947126823014,51.45142320690599,54.15235968194496,53.37444568532038,52.00931894273017,48.56559124485179,47.536182628161285,47.55322397247443,47.231689190630306,49.48788380886981,52.40197619920959,56.57885409467104,54.458199262602456,51.926553180752904,54.23230727539527,50.988777796954906,48.4452680849748,45.61127947391718,44.08360887245037,39.72584460447042,38.64952558121445,35.092397450225654,36.23232953291655,31.178308211124502,34.33795096485143,38.14986368935194,39.55019812912107,41.06562054757425,44.016279504037676,45.12274454963228,48.323620322760554,51.043894169379946,51.73094100023651,55.33165066060574,57.275914188268395,56.35812835225479,57.5700135121643,60.207533723629616,57.0379121476564,54.14273034606768,53.32172023279291,51.75141345849518,53.918884855835856,53.63299674884961,53.35941500180128,52.24055797442934,50.45562795000679,54.46635581525138,56.325747339681726,56.59134109159763,57.29904120803966,52.23066005117,57.1344738713381,60.22411106552232,60.639254109076255,64.56481042017964,64.49805462292791,68.13715137251643,65.67793675543813,65.32657068026377,63.259817000660924,60.99349582946823,61.86140780348421,59.120691790206564,58.18772007941865,57.29553615054118,52.58243570653235,51.84453386571942,48.18655691749224,45.58453645890908,45.53023369952972,42.4352733751011,40.91738820827561,41.42919973790711,40.52448664789254,36.535151329961955,36.86251110051206,37.49804220786363,34.967866131137555,31.62875664276052,32.45411349832044,31.632872892656742,27.940173388708814,28.04475113224728,29.748915284738935,32.892626042979515,33.14281400127342,39.08575025196325,38.8734293659253,38.77624489966008,44.029447278033544,45.01976867257921,47.7323543981218,47.34226142051735,48.921653913192,51.3551392591045,50.15127818732636,54.953158436667465,53.91430021804266,49.83309853190537,53.13997348592811,56.96399201731643,53.793273729246856,52.78617761458612,56.86767402559723,57.32392077876778,53.292048186393004,54.18786142997315,49.222861498077535,50.603253158741005,51.81641304347284,48.26201311763761,49.02746691722173,48.24422566861272,46.836067119663454,45.34613711870618,43.279362893816106,42.0700623642946,39.970445356955715,38.63720086573576,36.49546845397758,33.78027687342477,33.06098429204855,35.04217055782244,32.180321074251545,28.469720481291848,31.346613114183626,33.72673242677216,35.90143018697192,39.41006710205237,41.08274991960625,44.88039332332605,42.12151099105632,39.77948196744444,44.65994748181927,45.528151794597186,42.86034414854177,44.70901352651287,49.47879169196731,47.83508699760763,45.05323597211491,48.996947426851214,52.13452075126184,50.006179764357206,47.710176736759145,43.83461771000535,47.20590975263929,43.92770300881754,41.11237784223545,38.081779319368756,37.27776692942007,33.40349708532636,35.609373454005436,38.666831718497775,42.231215312502314,43.542487119798444,42.72381703802179,40.64311810075513,43.31538420792189,40.546571683230624,36.19997126183075,37.50031046046987,36.16604616124262,34.663023254885836,34.04716330514327,31.539553780944555,29.44777059909592,29.865596017371427,27.897151324231537,26.0852118779866,24.054154441982668,23.723078650578895,23.364615869405554,25.39046504772206],[26.400603025058455,29.905654391554133,34.258368731389844,35.00296937230142,39.900571996068976,34.81436235539547,37.667848746417675,37.78222599300067,36.27162696351576,40.13374704859926,40.04431878552187,39.880765123620094,44.350235458142215,43.134165259191555,45.640565672851345,47.739762029370524,49.44915279242592,53.19983015111202,56.89195666374109,59.36611281921223,62.93899755044266,67.06507288402236,67.96324708222183,68.43191300194944,65.75716218436169,61.48881077417178,59.364611853498374,55.20842018089608,54.045279673111395,51.821892583584834,52.367742157473494,51.02314361326053,52.088985540987395,56.69348461529239,56.48047527191823,56.935071469259704,55.77540361150116,59.16517026153603,60.1252357167697,65.54318025067825,64.26587568244794,64.06904412620541,68.19702926390003,69.08090506225908,71.05707291327174,70.46301063702717,74.17542568949754,73.19904929043629,69.56094479109933,73.23368069491286,74.73188078901491,74.80088407774863,75.00751914748486,70.11624851406185,72.69115178796208,76.5346409252012,73.46455011037567,70.5011425771507,74.86540598504155,77.02695666469603,72.1597841605803,71.8171655768644,68.51452043918869,70.86609107378325,70.14810361981937,66.06556032266981,62.68671910877835,58.70483889107125,56.85710461441977,52.8139708270486,52.894847744871825,53.83410630132072,54.874911301604456,59.47533351990734,58.131234433770324,63.59970825177761,63.78803006047526,64.7987103457509,65.10229172342255,67.59634888307112,65.06977962284174,66.19023476721871,62.85261917523137,64.70210338391333,63.11481577877892,60.65750754131594,62.53125078970487,60.88760143376563,61.28195528031245,61.25113391516819,59.08536199663079,60.41306464870413,56.254663071457365,53.21153037808744,49.57547950443537,47.759120577420674,44.84206593254371,46.63244375703737,44.01703168174049,42.10809878410645,47.93865005961734,46.69938342315202,51.49144472093193,49.74405916090667,54.89217624976763,50.702603189401906,52.21319072538438,52.86779250921514,48.773259477758046,47.3386060283521,44.03590189828984,46.4026017248543,42.93655564830224,46.14242182494324,45.960100205245816,48.149885915522404,50.78652187935065,53.08906525248571,55.84617367656687,52.3326698381741,50.060929715047145,46.88795132140212,47.00996639755963,44.75547530742538,41.82955100707454,45.28066773005866,41.76642101142554,46.276736484108994,47.86152750925518,51.80636728777794,52.51802356930024,55.48645986734849,58.161824078450806,57.37001726102582,55.9763444087487,52.481427710352015,51.45501852732352,51.37025592938877,50.92808094892762,53.17347264527603,55.93389594969887,60.09098101906173,57.94297846760844,55.504391989528294,57.83640136489119,54.56846245791396,52.06968718064336,49.259373855319545,47.83831607143731,43.45375406715028,42.47514788985422,38.790448750318006,39.903297426982775,34.699651631484066,37.71662318966771,41.65481556654107,43.097425692148754,44.7717138214039,47.636028906031434,48.93876479723735,52.149713911266474,54.73522553586441,55.46399822095866,59.06204236070409,61.09003982981916,60.131587055908675,61.44525382470105,64.05343269354357,60.91359782109215,57.96866496117411,57.20823485503898,55.5881961277369,57.78262337089921,57.486161224368274,57.15380796504261,56.02089696666766,54.11181286266326,58.13480915682155,60.05947908848992,60.396434646572935,61.163391664955,56.142888017458475,61.09043983833749,64.19448387507897,64.54828676245097,68.45261198777405,68.29962368519179,71.97993869135749,69.42566228306802,69.16673345226661,67.13086475912418,64.91469606074989,65.81711592675157,63.099631033067006,62.19543297551103,61.31159899474612,56.589460160466714,55.87262573147109,52.1972697700275,49.6232310713001,49.535835117426025,46.45506555767966,44.95870652948681,45.42044094695553,44.48710695280423,40.54621708096169,40.82015027791615,41.40297811104379,38.872701970902185,35.591678388575886,36.31056645344147,35.41707762142464,31.839071916231727,31.875339022538434,33.381391112171976,36.561905010070845,36.68055511206867,42.63688491480608,42.56832369233303,42.37392979430238,47.593002553006954,48.350151355362506,51.199563198453035,50.926008285004926,52.638475064582025,55.09845480074513,54.000766320538155,58.78479373648249,57.6957793016559,53.72214106534392,57.06767049862227,60.84408005619882,57.674817460109416,56.73941017815576,60.8341413505994,61.22340137736158,57.19012345908567,58.173767080399095,53.20249577184464,54.63102356637809,55.81317328906043,52.215180974367556,52.96141919827529,52.072961890883455,50.7237770078021,49.31133087539747,47.13528624245641,45.88540654212543,43.90423610874256,42.56909345329819,40.31334943150602,37.62838882237933,36.98880321463893,38.80305306868366,35.86878020915177,32.29499991233161,35.0832590155337,37.307016689098205,39.573628463059194,43.092121543656646,44.8957855080096,48.627877178492014,45.77377958165193,43.602492724148725,48.50335099525599,49.26080158586071,46.601702405155066,48.57838222286005,53.257965511238275,51.502702698559006,48.819326795518705,52.839464103389794,55.863037775766344,53.63560001297556,51.39063003616422,47.53191166739029,50.73387896012439,47.415209877139624,44.579459028435345,41.67185226440402,41.042780337794305,37.24011686153067,39.281152492731735,42.41162902091457,45.927788628740124,47.355242201449094,46.62421500157206,44.61158255732844,47.331728666477396,44.54256860337302,40.22805134329909,41.5398608456996,40.189136258575076,38.64573389131205,38.07620953864601,35.589043169398785,33.46536415174495,33.846687092942815,31.928527871784144,30.12748048617692,28.042276006110544,27.65742868608752,27.190455046635872,29.090217790817185],[25.628377120298847,28.99803429394602,33.461341133855356,33.4386817993015,38.558264438739315,33.474910007577826,36.122752081068555,36.53996200621138,34.554999285716946,38.0985655382742,37.954178030873535,38.201926556777416,42.483430705192966,40.821281512769694,43.46612857211823,45.78865969315183,47.275640278200456,50.91769627934779,54.340775439540735,57.08559096179923,60.49522088358725,64.74550482149324,65.45466774718926,65.8375726060051,63.33098225722805,58.97494914311772,57.08457367779818,52.96902494914033,51.97548970286836,50.03313097115916,50.361274700215866,49.46607282208995,50.59944021197261,55.07718151672012,54.87868012392618,55.08556806997185,54.23725518703765,57.31164725299702,58.251256121541076,63.862633910030205,62.27710201176074,61.912919446114124,66.1294868426949,66.91923990193204,68.68873137896003,68.05584179519803,71.77998907222796,71.01346839101076,67.45242446107898,71.23968667504809,72.84779212832805,73.10605503255387,73.32529887660455,68.37583783636657,71.14738801756175,74.79881357087673,71.51936928450682,68.70184513959748,73.12638183417519,75.05150275321621,70.06221771903603,69.72902006332913,66.49838135414016,68.5632129120345,67.84339039787952,63.90239479149876,60.228491104579476,56.36574856759922,54.213591159578336,50.228866946767354,50.089725064883176,50.86520531388208,52.187493134807546,56.79306496103058,55.78070405919996,61.35729604430801,61.70192388604491,62.92381921260965,63.32501000326964,65.85726867071915,63.591465772137894,64.72358527642594,61.666140119249434,63.51249222024295,61.69952994708299,59.18812354318877,60.81795866059403,59.42102256655184,59.43970227309441,59.59011071092575,57.15160962928029,58.36893325979497,54.23139913767703,51.36595394933005,47.64859905203745,45.739577410263756,42.725184379072076,45.03778188861705,42.59174396169681,41.22601033699494,46.85846084155184,46.04943658926324,50.56437066989421,49.09920549818445,54.27756610808319,50.06605244164764,51.913427344570415,52.456452491813025,48.32981163656539,46.89473858439997,43.30108794237817,45.273747338772,41.528240360472815,44.43428379881081,43.92679588843721,45.91804159493054,48.45388513750312,50.56067519022594,53.16247442766927,49.810693639644484,47.38303135096044,44.33532047270456,44.41105599594764,42.400526000975496,39.74107918111875,43.4550889303008,40.45855965230197,45.007538315118374,46.89472893886013,50.9687915126326,51.666352083063686,54.90941868791852,57.29125917884095,56.61112198914454,54.840561131931935,51.127483017386794,50.070839909401066,49.62025601208736,48.85585027879593,51.11413259661732,53.516345224014444,57.677770139195815,55.56475128159979,53.30616461330112,55.79618693079442,52.62078101169906,50.1208948574305,47.53657102266717,46.418729225691735,42.04807785153445,41.54158294511778,37.820196992253244,39.47968047727183,34.310281293581674,36.98550513823289,40.89964011992644,41.968347122667815,43.89782527059517,46.38835640410095,47.9185851278352,50.80655614081231,53.15246780596116,53.67270103264642,57.385011231987285,59.45719851422385,58.260366724993325,59.87992220366901,62.374717619368084,59.36526740733398,56.23775998811752,55.67581772072125,53.91837619782175,56.32074544378788,56.16532917567913,55.88030859504507,54.99760444529715,52.87204000576405,57.20152012850592,58.90022208125538,59.4597087034854,59.994393020378915,55.21883305905099,60.258356040859795,63.35711877454097,63.399538559685475,67.27592426082043,66.9208582669923,70.59136384183249,67.71420324017619,67.62812949059462,65.63297976243929,63.63471549577036,64.64256668177767,62.007726190024314,61.28706119910253,60.557607532367314,55.76842564523613,55.37408670071267,51.77640536560803,49.283146824068595,49.59936535240591,46.601640883683764,44.7274054805226,45.29706782637188,44.80736930314269,40.650681646743905,40.451609007732706,41.559074453449945,39.49283661350906,35.60370982780441,36.35829776704081,35.96263424623107,32.23676296970333,31.722955417525448,33.633010960378115,36.56713935817741,37.42653625245616,42.79493984374996,42.930639152014045,43.177497074509475,48.53915410257283,49.657048626008795,52.424793244398266,52.24585394965914,53.71759293127665,56.23315974886477,54.90365307158999,59.692230631210975,58.57710188746992,54.252328644237224,57.584397809572465,61.36791245673477,57.995121561535605,56.87294353696391,60.918890578426854,61.24977488314593,57.08148582360599,57.79681084354632,53.03477789116035,54.57424360561651,56.04923528706841,52.74020529614796,53.61362810287805,53.12610972160807,51.48842203845927,49.81749348629183,48.11958350024574,46.94254896679183,44.51401714994614,43.276909530439525,41.44509798002678,38.658080362785235,37.7383342551054,40.06131939308369,37.36096705439892,33.42061963075403,36.26081464231438,38.85810289101069,40.812094926143146,44.4186518792351,45.93676091511439,49.79055375450344,46.993663960736896,44.314788258662446,49.231043442459885,50.07670145001973,47.22936918311812,48.85525621041632,53.81129235287106,51.982331169433955,48.8947645052154,52.85464801056118,56.12337163989499,53.76216840146756,51.23993879099511,47.14072323670786,50.37464349782309,46.762923030554425,44.335106296874606,41.043239358936624,40.65941488237605,36.612824503373524,38.280320608825036,41.47879814935259,45.03266345144424,46.48782711974371,46.13676280565053,43.82284437172204,46.69945709749187,43.5725392060289,39.580479236080166,41.27613145482853,40.336654390489194,38.61526195111705,37.5948114305945,35.48173570247863,33.63483230168772,33.29043746350356,31.271620456952405,30.197743956266986,28.308388958498046,27.715798995626766,27.2176671046864,29.19075882386715],[21.229140851377316,24.65081552283858,29.22932251111777,29.503663706501534,34.77760980678075,30.202314133680687,33.21480694616245,34.001289995934705,32.46595347227228,36.166862567732906,36.52417109760358,36.9093607674855,40.79558289935069,39.30163289968432,42.39321778815702,44.52510342157326,45.6482261613189,49.55530287571304,52.92172545258313,55.54945294547096,59.057032352225285,63.201421410373115,63.94826649396229,64.13092072140789,61.476466426634786,57.18388974956647,55.09775236930327,51.00373231879932,50.28419038500393,48.42255724778007,49.4404612555589,48.279057667150404,49.844529429458134,54.385255309576976,53.76876805068188,53.767463294167506,52.63618625374349,55.48448077079937,56.14252635804193,61.61545899605601,59.972651341631625,60.037809272904234,64.25323262980109,64.81250160759944,66.5742898750842,65.7302360124215,69.43913978519343,68.74357323426095,64.98245305104287,68.61158222054921,70.43848072043008,70.58822239115082,71.05176576083564,66.1167598671312,69.12613174917358,72.84683329925207,69.61631860394296,66.99390663437572,71.51325509537932,73.36740968759233,68.53283829534614,68.56317800031465,65.49028644668388,67.65946903446998,66.61305085854798,62.60117755882246,59.159534964913504,55.32799192599449,53.197308708223396,49.412980134638396,49.267303886242445,50.39679994045224,51.73514717623575,56.194880132288695,55.13897493825389,60.90697618717836,60.814031374171215,62.244944331372245,62.293044898754346,64.53350338683543,62.07563395482449,62.83298163201283,59.694638593874906,61.22733470608912,59.32301418406366,57.132896838435904,59.047557179551546,57.894217539767986,58.13740201691469,58.72430208626858,56.41984647174619,58.04332492345022,53.917368248551526,51.01446349519199,47.03377752956357,45.51142169707281,42.18328068572439,44.31745594525854,41.59627080184531,40.24102648454156,45.57993745483343,44.29240086943131,48.73468885442107,46.78594140925488,51.629211337185914,47.162848295636095,48.78780611192158,49.030517724225376,44.76924376796432,43.677392920723555,40.02092286194042,42.27863721385705,38.75313215975416,41.637859552770095,41.614604025160915,43.45179563554224,46.30550623547281,48.25155541157102,51.35978580085317,48.17300664169398,45.66073981613406,42.478803377718016,42.103142470308015,39.89745796896259,37.06002563534561,40.370027639048125,37.15401094085657,41.65890846329363,43.37137173449769,47.62602050509703,47.90825551756214,51.17091354273725,53.64048268434729,53.25865367988401,51.361814387913334,47.794154052827395,46.34985547746083,46.24123987737242,45.66800117606264,48.16678459145461,50.672277091682226,55.006319394387994,53.1632631159377,50.76303398448623,53.36356013092041,50.39105469016431,47.71550222417987,45.2504365659518,43.946078882836915,39.68580788806706,39.03453227520201,35.7496437100936,37.528552004374774,32.78876350057323,35.77524083714182,39.37152774824362,40.271730197663445,41.79255033367699,44.441853006300285,45.39787245590824,48.074472484684236,50.802609137169966,50.95372963683748,54.801482905101196,56.477390064787286,55.072822297690855,56.47606022267871,58.82357235608727,55.64150380434983,52.67270320323962,52.14912852221653,50.66576615242934,53.26278712463763,53.31492870095158,53.31664431448911,52.58153492058993,50.79938916135987,55.147194309939586,56.59219057153672,56.96627918466219,57.183822134469416,52.30245455221377,57.12315707029757,60.107744948364015,60.34135640980398,64.31550561099822,64.2441993361287,67.70523358863153,64.95624134797214,64.5680711051524,62.41042241879904,60.35810959168308,61.13439166132574,58.36434553893192,57.48564812904861,56.54482793868809,51.7495383285147,51.29125272229934,47.54833654450889,45.29835439856975,45.407363831330095,42.64827744844836,40.76554779315976,40.96338027535881,40.521896667590276,36.50315734472749,36.00217995090896,36.99746100657884,35.19375347569514,31.185275452479193,31.68020315685307,31.303326552138444,27.776358436672954,27.010458523128264,28.710314723001687,31.63659553148652,32.5461854093709,37.77448305355205,38.06863246893623,38.36333149841324,43.74703302419695,44.86329074089881,47.68744016456505,47.75390993570796,49.269963811953964,51.93411291669405,50.766361250060314,55.46913141295152,54.128790281675975,49.843016147359464,53.321796726324294,56.90874791768969,53.430186230401006,52.45761440202044,56.57491994942222,56.65049823535984,52.447791799558914,53.454540888846836,48.644944983110115,50.53574635335245,51.9835212688301,48.6847608573188,49.84138945254616,49.46042003423009,48.04254960006573,46.07548827118049,44.32618511458039,43.5195823342087,41.02171633151746,39.40920023202525,37.79434217930925,35.142539362815064,33.82311235571975,36.089276040530315,33.61731391605937,29.54626042061091,32.00493633361882,34.67653808457397,36.440562822022535,40.189602206940286,41.79620586644049,45.53731137488913,42.53992222466872,39.81959753720995,44.8120869029263,45.44600978568066,42.515286490182056,44.24086438949097,49.12924665904891,47.106242418071766,44.06019718872575,48.13421218400671,51.27096712814542,48.790349652210566,46.30691396347408,42.23899801011567,45.3515262797267,41.77056061603199,39.263748039098495,36.0995318250185,35.838112534605905,31.946042278609347,33.526062315284946,36.78434915331593,40.2642546683561,41.86658243638167,41.554213826176785,39.56260086898706,42.61712819250186,39.753827988263076,35.64496425817373,37.67439490139531,36.680119808023626,35.43574325281553,34.119501046504915,31.6380483624785,30.180939166216856,30.185202612798726,27.52179857031822,26.31294877353429,24.951619854652314,24.686030857882898,24.613913652544856,26.806850992111034],[24.60528682740367,28.067759571945878,32.76141231700711,33.181276445785876,38.627702774325584,34.38427846889058,37.5280103835289,38.46455897117394,36.998428928475796,40.66379985692204,41.07500478046388,41.52975894716152,45.36088070582891,43.7803382104308,46.94031835960055,49.11107876365118,50.15092738135007,54.04911914214765,57.306514548640514,60.01437277513524,63.47155411104212,67.64147189252706,68.32202711695754,68.41801611502649,65.81508462922028,61.51046176461277,59.478325847472284,55.40914380549094,54.794241416828584,53.00336987038218,54.02332184203503,52.91391271599155,54.47801369415064,59.01166292477128,58.40231979962593,58.36184164531749,57.24684468014013,60.01515825090307,60.614610909723034,66.07846580357855,64.34982125548252,64.47550991230369,68.7042224601327,69.18068082359324,70.86283516778289,69.93856962659825,73.64897377813494,73.05851692318842,69.25895994707281,72.85891705106908,74.78303741965951,74.96428598820488,75.4802908999571,70.56072584527907,73.64066000777635,77.35120070174281,74.09408530845246,71.53930496053808,76.08397317609955,77.87617666228122,73.03933233684317,73.10944956295641,70.06110922461932,72.15274264773605,71.09345168205017,67.1237794462729,63.60743986654167,59.82005121157494,57.581003576251845,53.83270131853185,53.58932681829976,54.630152230917226,56.10300041724876,60.56835410307637,59.62921445720178,65.41394944634476,65.37433026469525,66.83776212143765,66.90506535101358,69.13506272134981,66.69496956160695,67.40316073975072,64.25967453738348,65.71563517682185,63.78342412801609,61.675972103412875,63.61231100563677,62.51711637215945,62.73165720733862,63.351778421669586,61.00871988660393,62.58371051937245,58.46184913023954,55.588588657152535,51.61888296918016,50.044848747452114,46.73156874073442,48.93994733381855,46.23424174030877,44.85091137116391,50.21297474535392,48.85205743221898,53.31617553215149,51.2614695176375,56.01512785916351,51.475802569625586,52.956421022822745,53.07392396792564,48.74681337664831,47.83430507432657,44.18624262600816,46.574909428839135,43.122551233869636,45.945340571603026,46.01228541875726,47.72517719557015,50.63534881252927,52.433254028954664,55.61225969895887,52.54164808911923,49.944031674133704,46.80081762378598,46.26184310112429,44.11192310472036,41.319798580801574,44.516858223412264,41.313261692074555,45.77363710047467,47.4028716698204,51.75016086801423,51.776395088340344,55.036691822240144,57.56828309864424,57.36478629571351,55.39195971978353,51.89019051495586,50.18488690222316,50.21183774677022,49.63621134930062,52.27869001078616,54.656280078340934,59.06878159146168,57.374465897556675,55.00182203545023,57.699598400260754,54.81882911585145,52.09655283693237,49.71954968486545,48.405563735659705,44.18232285329757,43.497548107159446,40.306804125270375,42.019584411209635,37.28227946605289,40.36187817828657,43.96362205515545,44.8834394951564,46.33467163631002,49.021841044628566,49.85617799155089,52.45017198148209,55.269294902197515,55.25544232358326,59.170337812707295,60.68859590914881,59.10140347054833,60.46683154139444,62.669759898068975,59.39518847789324,56.5014585515319,56.07390344499254,54.73480263440387,57.47869172548459,57.640462583993774,57.746458480472135,57.05788699151664,55.35122005385227,59.69405152820322,61.0905121330436,61.41576094332203,61.53649263575355,56.62048346838532,61.33530679812192,64.25898826811459,64.56461094504303,68.59026356390635,68.61831109329337,71.98508936288124,69.2226508232561,68.7291867812997,66.49153023284329,64.43945547277994,65.08105752249314,62.259536503102474,61.299561861939814,60.204507638015315,55.40813412278296,54.88493048742461,51.00438274666866,48.9658631908148,48.80968221942498,46.23483187904429,44.44520515999361,44.280943456408124,43.757038747910585,39.95881065105678,39.24921698561047,39.981272653189684,38.286312525337955,34.41580945400868,34.5503331456669,33.977860309149385,30.813906012615284,29.892978205538892,31.024939503803818,34.03422889726699,34.623179428465946,39.83281370286686,40.449785839576464,40.547707395406455,45.85847245816989,46.537014533008886,49.64082476717671,50.071074838361824,51.86424275817502,54.67943952162088,53.82619143516631,58.439642966098575,56.85008972013723,52.81490935150536,56.47277676705466,59.83468888192162,56.30269615409672,55.58568445091693,59.77101806112717,59.55755404815271,55.364645340877395,56.75998563503829,51.892214127200155,54.099899943849685,55.42874019283455,52.030915821068014,53.34621032354553,52.820343516483696,51.687337863274394,49.66896269682101,47.64284698025877,47.022091406565224,44.7193957427973,42.82874236108473,41.118243787316324,38.613236127561635,37.19311567785567,39.07922244414307,36.61049374350117,32.70835051524641,34.77027761575869,37.18868680542185,39.0089001870207,42.863555372657785,44.783462017972525,48.324729549246946,45.01617451378981,42.61744215966505,47.687639151834475,47.97419453343263,45.02627099636582,47.08383931882509,51.7212393428513,49.38672248400448,46.59914947324846,50.87611301104212,53.67794194742248,50.970349215065525,48.64892086855345,44.692026095593036,47.40273326721997,43.83840210462481,41.195566914344965,38.42475611991082,38.50811893917542,34.92894939082968,36.23266578031464,39.60524701028901,42.90806654720382,44.80011920592507,44.601470842941104,43.018939023453974,46.234008115407356,43.59778502683871,39.414699079354385,41.612901469184486,40.485771029998425,39.539249493499184,38.17269144342213,35.4143979809986,34.11598673365526,34.42412306393533,31.463648918125124,30.03969937560058,28.867397511127102,28.776624178055275,28.806342933464876,30.96275896257695],[27.360155528417117,30.66391374861641,35.351340009141715,34.99536418925524,40.51207224316921,36.01957997066786,38.78572748590654,39.74865924104986,37.682284294712666,40.982995353290754,41.07314842700642,41.77248702709628,45.650191880187506,43.62608139686739,46.62945680455571,49.074791699908175,50.132108621715155,53.774231086988806,56.82369257693296,59.813772408098906,63.06553577787301,67.38952977008441,67.87539596472041,68.00963411897739,65.64978646442312,61.25112961646781,59.53550861124624,55.50362559746389,54.877865096943005,53.27574562705727,53.7209474152926,53.126101603708584,54.484281516235626,58.86194439296229,58.51121618924841,58.39498156652151,57.6934586952009,60.33203986772458,61.071688505042054,66.75675535023699,64.81775530470263,64.56223031649306,68.8631304583978,69.39409706887409,70.90592810750147,70.07143465968987,73.79596785594411,73.33532677541452,69.72447533778158,73.50696710725235,75.38861430785461,75.78026470312699,76.1648330072534,71.19698252439167,74.29655403622199,77.79963395673393,74.34913316525083,71.81123888563894,76.3350713984704,77.96970970501022,72.9518836733761,72.8193308130891,69.74113839884299,71.53307866036494,70.66334760307575,66.86162133159573,62.978519358859494,59.28633534711157,56.787618746552106,52.99052226075278,52.55990433788023,53.2484835284617,54.948919499846845,59.48140739961187,58.855919054015956,64.59382163737611,64.94067704814518,66.44796201647156,66.8020437189226,69.22926320748033,67.11023961539584,68.04649935721314,65.18141258100239,66.81136344026672,64.7499700059322,62.42317401547564,63.99766462348789,62.96136254086362,62.7465533674188,63.25393537094843,60.62186182110163,61.86089780255987,57.76895583354329,55.075832519106434,51.21758498947839,49.35505018994839,46.1666453166322,48.87526221470557,46.47264769651956,45.49372735576942,50.851246650903434,50.09157548781971,54.375957902555676,52.81741732512852,57.77500953221735,53.372144133348066,55.23136465922703,55.43616606580566,51.17047440745021,50.0641890157843,46.24219536504442,48.164809124597106,44.38706643468682,46.975416024433706,46.509169029690575,48.13307626397777,50.772819113620045,52.484111083670065,55.23819811863955,52.22931749032851,49.554518000420494,46.60846873511221,46.27457549465528,44.45259993167772,41.99577430895179,45.615555735757326,42.95062648807366,47.455967886268475,49.410980192491984,53.74576828569418,53.99756670655954,57.45175354523921,59.70304406098622,59.41654925632359,57.22610758705123,53.47752199791364,51.96787160143909,51.51221773330543,50.56372180386323,53.0777766154634,55.08489648800796,59.39127504765846,57.58799921580979,55.454792894336805,58.21158428313583,55.30562053830956,52.68942087095822,50.438805224621625,49.47340497323783,45.2138675880228,44.97305324693474,41.524829234417275,43.56455949566432,38.657314288827926,41.27464392992439,45.01567618906428,45.750139162553616,47.61722269153598,49.9235410802692,51.25352035690214,53.71016222922226,56.11531016786934,56.142665417883684,60.06434589913965,61.83422250856582,60.17116819915392,61.90327624643702,64.08875176200876,61.02552552949541,57.899624438570044,57.61641759585867,56.017212123438384,58.81472516702825,58.97089378326573,58.95072299922401,58.371631717467835,56.30743084382776,60.857694933984305,62.22779319781408,62.82933001509696,62.95328235061281,58.29620983114764,63.20107672612627,66.18268922672932,66.15479972291901,70.07694277723323,69.77878933629228,73.24809981009209,70.15134070300552,69.97448872155177,67.8711329776825,66.03983763226879,66.89714726875617,64.21419882174877,63.48224893752126,62.62522659702115,57.79038255897321,57.555270764497294,53.822109659373346,51.709327101648256,51.97205404909305,49.32354438740372,47.2650437876072,47.3963664495507,47.17101539074692,43.14141631931648,42.26077445944649,43.44705176577311,41.9353303535,37.70625328653185,38.02395331948708,37.806141927078116,34.42155585317116,33.2594228374083,34.818118650775105,37.63233913528673,38.73446114311306,43.57319322896723,44.24609147170852,44.63910457992529,50.024104161315854,50.974282757456734,53.9734616855713,54.319428686136895,55.91834398191897,58.676284241039454,57.56928034181215,62.23082035787573,60.75782909827685,56.44339267420008,60.0013022602613,63.47811639992465,59.858525760091865,58.920201522914375,63.02154731683936,62.904405882782754,58.63993173510929,59.666787706491455,54.991970562777304,57.07866010088261,58.64096678877772,55.44904680390336,56.68748967824219,56.38069084213695,54.91774817777619,52.89008671615188,51.23252307391114,50.440579167150425,47.87073958815963,46.272895899347006,44.728778381419936,42.072133539746126,40.70120487097167,42.975600054247955,40.526523957934536,36.45906108952516,38.7940909947822,41.424498441007806,43.143740331523574,46.963137856075875,48.625177759999225,52.31749706450241,49.175985369130416,46.444094546622864,51.470424755079435,51.944964786435854,48.91751869516321,50.653892293048386,55.523908945717814,53.250864786613285,50.15054941900266,54.308206597160726,57.362801460906205,54.62500984114553,52.07702651290961,47.931293464217596,50.717052251260796,46.9170958553042,44.64941187436862,41.519280187276834,41.72703986858664,37.88327274424324,38.93390739154582,42.31645551300432,45.67845932171393,47.50765551788454,47.583546359200305,45.587962740468164,48.81848088435179,45.77777207040165,41.92118758473317,44.206915355826695,43.40848479252747,42.05377006074384,40.543030063796095,38.27644791881431,36.943351625614675,36.54667914516237,33.887529990409384,33.055381797285925,31.684079520886353,31.235512482242896,30.998221233786936,33.00933208482743],[27.24865954813279,30.400907908758793,35.133573988815805,34.37539197727648,40.06507360840732,35.89613781169986,38.628242522986696,39.93653296356609,37.740602906523215,40.81378135889337,41.038911425898334,42.069124836636114,45.63532152379098,43.35514588302109,46.58453029266162,49.107896289136875,49.86369853156055,53.479602917101495,56.262779136213766,59.410304724580506,62.54299546846868,66.90699788141721,67.24268161019575,67.22386077389537,64.9635152541217,60.54801622256012,58.96287972695268,55.00518575755285,54.62193558276568,53.271514299021966,53.78278489870633,53.4257608119189,54.95125040958788,59.23315043291542,58.76556099758339,58.40714434683769,57.83649575955717,60.149298926780524,60.76388933396671,66.5039494100181,64.32191779443806,64.10253655152303,68.44574655736383,68.81257170203935,70.14598109607773,69.20161875091351,72.90795760389065,72.64450345951522,69.03845842714176,72.8337499583774,74.87958620491024,75.36597076031354,75.84590926376035,70.87161141754353,74.19033555489108,77.5590651655413,73.98929500706238,71.64904876309656,76.22815974941224,77.6516302422542,72.6207931349297,72.62317723015344,69.66617466652791,71.26220961607997,70.28592590070635,66.59191628064616,62.57546708337875,59.01406852202834,56.29342482588507,52.64309527820684,52.02656671116088,52.68082736098031,54.615918741293385,59.07230706910586,58.706215724347146,64.54792702423599,64.87707027104089,66.59672568827273,66.9084542535603,69.25467946605401,67.26608043697097,68.0767354136873,65.38951483247372,66.8924818583779,64.645109007204,62.42084558962304,63.91543500527891,63.14652189261264,62.740670559505425,63.51480630066272,60.74629001251285,62.017122630609926,57.969706052691166,55.413241517692846,51.451627367372126,49.65025264140197,46.33230134412783,49.327596635451364,46.97968368105841,46.34982135439955,51.45256988047398,50.81199312528545,54.86862860310473,53.3324674748425,58.1521789692034,53.66918586282011,55.63255335824033,55.63746521109619,51.324998554358366,50.37698769739255,46.38479902313223,48.14648426425008,44.30604535184527,46.63629620945772,46.124685015946376,47.502877136522876,50.16554341143444,51.62159096652002,54.42690582393943,51.650826558132046,48.83337443271196,45.97640344413462,45.41265622106913,43.743591497425705,41.46543004972872,45.070394989828245,42.733403754549926,47.190799067288744,49.25745676941555,53.72395052180808,53.76712482445242,57.38792086212869,59.470298928534746,59.40102559866927,56.908928894132856,53.09952352141161,51.38400313602879,50.81784905219339,49.703230560618316,52.32676939263184,54.04832081568351,58.40757746799249,56.776989745754534,54.75270984362557,57.662356057592056,54.93818222310524,52.27208066051609,50.26167684267249,49.453443008080725,45.28730871687059,45.31087342072826,42.032337246153915,44.41092469516854,39.70970511993676,42.19430977491336,45.79037155744602,46.235559619019966,48.108157415714956,50.2090318623517,51.47097033140882,53.60175521361378,55.968729668426384,55.68852840318712,59.72782701569044,61.34443012164698,59.40491479358735,61.26595897952372,63.270428553478595,60.236492643127235,57.07075342837561,56.97202945456177,55.41527682806071,58.44196065847653,58.790035595248504,58.91916748610118,58.569478252811365,56.5009874768878,61.22443826138502,62.34900611729528,63.02524296785628,62.86756759610559,58.36709168227353,63.21193426855494,66.12274832493323,65.99338556883707,69.88750411025516,69.57674294532019,72.91273739714335,69.66975953964302,69.47314137716214,67.3491175264425,65.65958441849517,66.48178933795049,63.80447156393052,63.12091331532942,62.26564520126447,57.41382460922153,57.36572835085431,53.63097482312547,51.71761186313465,52.11144250119202,49.655211600577566,47.39428486187801,47.38935132931426,47.445656167773144,43.416109015255316,42.09441193639955,43.50912932984826,42.41276946555398,37.85706717938072,38.02357440503641,38.08495944399322,34.810106094971744,33.21226528401152,34.7893591946718,37.40544321239324,38.913754046471176,43.250410653525655,44.186234074271184,44.826815197438165,50.24237766350584,51.27626971029722,54.31249176424094,54.8890150605241,56.40310504058706,59.25480758893278,58.13595968439693,62.728009402836925,61.11483045299356,56.67535789685234,60.296509748683036,63.644366329161244,59.85902814682986,58.91743837009626,63.000635349867046,62.6923493527863,58.357010116083906,59.386283719851264,54.856996066500216,57.1926895192206,58.89837991734174,55.88453675879943,57.31644537998846,57.24809755456045,55.75516559696627,53.48367979516128,52.04470345268017,51.44950684536067,48.659636489606754,46.96075914543523,45.7188108880505,43.097882809242265,41.44475284400079,43.890129975397315,41.66209251736624,37.43798884715146,39.57887644299649,42.3586854720881,43.83738404543839,47.7374283469156,49.31376090416501,52.97546601197443,49.75800984533891,46.802901881614105,51.83747708875677,52.21468412068936,49.06317948129157,50.67234208248771,55.59807827466767,53.15682397114401,49.89378274038606,54.06567900792958,57.13677230341848,54.22712682062513,51.562952765341805,47.32687271673339,49.95347586465657,45.986558324801486,43.982138301568824,40.76788861820704,41.28470639862088,37.45899764196169,38.11707192835526,41.5569323021552,44.83513333806839,46.800170219637636,47.18223897701306,45.20878756184153,48.61460642811094,45.51604461398113,41.869884109470156,44.51964771605473,43.93405961754411,42.69590320232406,40.82747464658647,38.64386377644666,37.64052686874098,36.99750515886697,34.04622834883568,33.582952202656514,32.56197259000686,32.15696891260667,32.11105076820833,34.193033785540216],[29.6855036908252,32.761696766582084,37.401350368239534,36.30636325963651,41.877194433147665,37.379769061757585,39.80707236783345,40.93093717108593,38.370989165307044,41.24254838218798,41.13896602187561,42.1784452813515,45.90661899500676,43.43508173163,46.387744172369295,49.064697846874815,49.99077544860596,53.38844528598279,56.13115704573559,59.3999792137274,62.41698818111058,66.86212614450082,67.12578519533483,67.22522479055489,65.11047540411909,60.64984248445092,59.252968937701915,55.309232007114694,54.78709889403468,53.45910451836548,53.47775766526655,53.404473599768934,54.67130782934058,58.85266926561888,58.651996276472175,58.36412332772132,58.053551464502306,60.42707057806342,61.21816463538007,67.07625637968857,64.8701146478304,64.32837383755799,68.68455901112628,69.18235205771215,70.47560043527031,69.67034252242921,73.38148371290112,73.109156039423,69.66596460694785,73.59074261380815,75.50715256099282,76.09788603016936,76.4192523752491,71.42781449166901,74.6293829350159,77.89654566979723,74.25185829995301,71.82578343928094,76.33862555554053,77.74667662187105,72.59899143954682,72.36570425798655,69.33414381197058,70.78764716684161,70.02576226612567,66.42438646427891,62.204832280071635,58.6685518372138,55.87487358116387,52.12865794656866,51.46526644094472,51.8485800178346,53.83193755004716,58.35977652076583,58.10575004514497,63.823946777318994,64.4688368419048,66.10360581463466,66.66242113388965,69.19717378588713,67.40300797395979,68.45793109701232,65.90675079256224,67.61458968022554,65.37518461765444,62.928095300571016,64.17146272712824,63.30899323062115,62.66845048600848,63.208735184042865,60.29843432725183,61.2790858092975,57.25448348971978,54.78710918963098,50.99599559188399,48.9485188688824,45.82790173931065,49.04433532063677,46.92669712990063,46.44111399401938,51.62518447995152,51.39225347968356,55.398290721394254,54.243238347625926,59.26724155644148,54.95905031630944,57.14740994721121,57.33102475097138,53.11617795963891,51.9351091633277,47.93386665263507,49.41210232401306,45.38605753497513,47.65580935759753,46.754002486344135,48.18626109498343,50.59828200625951,52.11807867617589,54.532200990154145,51.69657282544556,48.917823125180284,46.1973526609193,45.9324970706352,44.45464611262326,42.365069682533154,46.27506421339837,44.19745477815372,48.67488998792536,50.91621928834102,55.26962338725002,55.60760463775809,59.264210651695294,61.216221850802995,60.957433811809445,58.479662180010784,54.533148015135865,53.10261767751269,52.22145186619376,50.91562002590514,53.35568900325783,54.93424643812247,59.15044617356166,57.341146836641855,55.459109296088236,58.31010053478351,55.482486350568,52.94614500032216,50.916678866119476,50.30275874588364,46.09274909886774,46.31679854956799,42.782255427305536,45.21063979758158,40.32062449085189,42.49965492202456,46.24038915535011,46.68785111575724,48.86074695238422,50.759125328828546,52.43331028901224,54.62111211470771,56.66913878253739,56.594381729280364,60.54953422424053,62.44244867789251,60.61443204374772,62.6834930399056,64.77139051189316,61.90412936423157,58.59308015095728,58.50065708726021,56.7215891417064,59.640590241370724,59.874196225176334,59.82037212987192,59.43352013925164,57.10074660685685,61.866566573901984,63.0962432455655,63.946073090669024,63.941989550682244,59.5848984559834,64.5899775732226,67.57470089109312,67.24698080655406,71.04713496695159,70.49031470579854,73.96496573627743,70.56830012102465,70.62850876056862,68.63558649142803,67.04261917542286,68.05746774048886,65.492016434298,64.96093758105557,64.29973826259449,59.44649253356794,59.515592932930765,55.91752849716278,53.838184202437,54.478976706034224,51.86540895352214,49.52793069553776,49.831130566481235,49.94972038967238,45.76688294986823,44.58729308457494,46.20165050402211,45.00289672254079,40.40065355830299,40.79562000113481,40.95414974079931,37.4730001839538,35.97678194944003,37.84985672230593,40.421052202950435,42.062204601332496,46.40727385914833,47.20960365361572,47.92657356028526,53.3682028547226,54.55365218694359,57.488035522502074,57.85655580675316,59.253723285320255,61.997865725809234,60.68561277836375,65.34443944041249,63.90984578690094,59.33767578736437,62.83003925360825,66.33616220359639,62.59257687923254,61.47856734212322,65.49226931289307,65.38060468046157,61.04214549172965,61.772613331324884,57.32651283291613,59.40697236745777,61.20853986875867,58.26301649419105,59.52115699806437,59.4901596190159,57.76527180118884,55.62962604281339,54.357496498948734,53.52682449741394,50.666354364588685,49.253206959577945,47.974935666574716,45.23621999048301,43.78361192717468,46.41090143620891,44.08623507334383,39.849432057249714,42.28733067844279,45.1312351203842,46.66445554899203,50.478559268269564,51.900138122121895,55.68618726797603,52.65335135342579,49.57849991050447,54.557581286197376,55.1412991223928,52.01289007229611,53.438751850791576,58.50184590873833,56.22402162096393,52.82152175466645,56.87110746145465,60.12981992484314,57.316623953159606,54.55212717705452,50.23988667381378,53.02562181463346,49.00080108679733,47.13676957008048,43.70990878630749,44.115933794500855,40.104230784608006,40.81248433903739,44.191266580065445,47.546556973665794,49.36034119745265,49.762649388337415,47.464854865819085,50.75491447312153,47.39863541730401,43.90965703809996,46.39517667636814,45.940409521844074,44.3493545791447,42.583238731292326,40.73449905684702,39.52942922037622,38.516287096835825,35.982055055016666,35.74678027716828,34.43090464897572,33.76909316337241,33.4627769909057,35.39465158958746],[25.336508841705854,28.27090303703267,32.79282089440857,31.4295298692022,36.897224469235056,32.28205971405858,34.593294188241096,35.75576669746983,33.12116805287671,35.955646026545416,35.915652570956084,37.04009279540404,40.658586040210494,38.19347952468952,41.24294816125786,43.88891926151869,44.746246485522256,48.199766947315545,50.98034186913991,54.19825451903403,57.26501932316921,61.68606454115675,61.994008256124104,62.098085982695785,59.914811608420216,55.46374192645467,54.00247901545395,50.04442957044684,49.53727660956228,48.23055256885355,48.39395405694593,48.295816187886004,49.69973347276483,53.88220171388609,53.55431644136795,53.19195190761931,52.850996921709175,55.16470539007963,55.929496562912355,61.78273020875834,59.585338429044214,59.08187834728958,63.43210681919383,63.93056549148739,65.2628879232048,64.47377413120357,68.18156700396504,67.85409654890702,64.40958661564362,68.33434965641125,70.22682027237019,70.80457583782817,71.13501667507504,66.13973862920062,69.36499579775446,72.63425281774985,68.99895789553591,66.59026627213686,71.12427136282406,72.5303243932272,67.40746345083359,67.25011183480994,64.25349342364994,65.76306009339746,64.91276616944951,61.2721436296514,57.130049002989175,53.57444141019294,50.82572590361101,47.10383068958598,46.484646612503084,47.026839743029825,48.95150046919049,53.44950399135855,53.12852961915673,58.92356275634478,59.41557947020573,61.12140471435481,61.57441737851393,64.03631454871126,62.218810973630404,63.2117825472188,60.69283183197867,62.365236821486334,60.089855798097545,57.66396513944597,58.9235049948879,58.129259509728456,57.5034552979898,58.17685000457007,55.28759451612468,56.416209518457,52.387380679681186,49.911454079423805,46.00990813628142,44.09741746455717,40.84360983620224,44.067440786119136,41.90536777835177,41.58153667853086,46.599486769262214,46.40336178264643,50.2894654207772,49.17157666032852,54.164608421079386,49.87812160987465,52.190040680533436,52.375605105054504,48.203073880224174,46.965145920263375,42.90469650946021,44.234000630952934,40.15342706747351,42.3856231398308,41.45381475175254,42.90773311791786,45.3264388382319,46.901602991277784,49.36590823707591,46.49132900641567,43.729186384291324,40.95791536183154,40.71159217297461,39.18940166613024,37.086508722109485,41.050631455512516,39.05793979086415,43.53447296573422,45.86325303821816,50.183176247375854,50.63381785075705,54.33285715281088,56.183359420598464,55.87097607117887,53.361771922644486,49.364302971057356,48.0652281654996,47.07458256023918,45.754602957382666,48.1284795700269,49.77895929308962,53.9705213004642,52.108690015857846,50.19646229917807,53.022807725823725,50.18657501902356,47.64845341036857,45.62625411083341,45.04544618911482,40.853355321118016,41.19126629069413,37.703460427202586,40.33444128742934,35.6140965520945,37.66722164594445,41.293584467960535,41.58333046929023,43.763855075431266,45.5697457352784,47.248462269541896,49.366513715015984,51.38111498145397,51.310138434598635,55.257507293005986,57.189523955426814,55.42539025122946,57.52598850078192,59.681345699269684,56.87593728769655,53.5140509179055,53.383383114725575,51.52634919206677,54.401773234313346,54.621122737971255,54.56105538299713,54.225837149162544,51.87870594900072,56.704697836332656,57.85796184881369,58.73992285999459,58.69786095386015,54.405636155450935,59.43770748869377,62.4286195223023,62.03670757707246,65.80004787760284,65.20174718549616,68.6828242997771,65.28789161015398,65.38612637948926,63.432023798669746,61.85800304830643,62.94398609503172,60.42608305302678,59.96968316933955,59.426522187873736,54.576956624783364,54.74979576726536,51.268354546328744,49.10014108957694,49.99398227844949,47.3275591314691,44.848614746413496,45.38478834266428,45.67950915970249,41.35259310995967,40.176570262601,42.08163667052122,40.97701878219765,36.16962303228457,36.794087405891624,37.22505455211245,33.53936210448981,31.994530629176456,34.324965536403816,36.731265741181005,38.77407276678787,42.93147359818431,43.539574391872826,44.50416627903641,49.98523389549923,51.59170886106545,54.26970456370365,54.409638803108884,55.540439220494704,58.18182568616616,56.613227211281085,61.29390581145187,60.014646841400385,55.20331735255364,58.56483076043227,62.19526173979443,58.447955624480144,57.12888363770655,61.06118840447219,61.128095541114185,56.78425842221728,57.19049058389208,52.85742840842954,54.76876367860172,56.70297228160973,53.920432794455785,55.13258182810599,55.325850028944956,53.37121205202741,51.17619024955247,50.22808111246693,49.35369995137565,46.255892662874054,45.02168045841862,43.97831066334164,41.17070476578572,39.67253806148415,42.656006062358884,40.465323799738414,36.06893221068336,38.695079645482394,41.78156991997492,43.14306424877878,46.875146584708745,47.99327473396274,51.90489416807367,49.112833079545204,45.703097564885475,50.58485509131696,51.41687506679313,48.27505298945278,49.36986229411965,54.63094233872765,52.57874276595767,48.920411905207935,52.78086752678575,56.312529073705946,53.658491089009665,50.7340430258555,46.32416012307085,49.40553847008373,45.34370503690429,43.671168486807744,39.897653265976174,40.09646710116813,35.85872166415688,36.67449524544565,39.95055578331975,43.417178968837554,45.012500885677696,45.402947906711184,42.79294306346053,45.995364885766016,42.46092291156446,39.12511648898674,41.614376380377074,41.36493289639958,39.61052138145032,37.72716906673928,36.15917142012573,35.007967500366036,33.62564987069182,31.220616265161166,31.350482952915375,30.051524071273167,29.292488340558194,29.012959572500396,31.006757041553268],[30.741487199774152,33.49150858398395,37.907837474886044,36.00522172913834,41.41244345088088,36.76096670532226,38.68050291356748,39.835251153755664,36.71489910893145,39.07759843230824,38.68266339489588,40.02585493537187,43.612967940972275,40.719864564372365,43.49995905595762,46.39974508712761,47.26435265207645,50.351190617672096,52.82731733738668,56.33112336028971,59.10765472755273,63.65799653594747,63.72334389551047,63.86282447564427,61.99251356724049,57.491963824591984,56.4223484223589,52.5781472830064,52.07535506046793,50.99891758499055,50.49852022409093,50.97851453405149,52.103589709402954,56.047039316541245,56.034073671967704,55.607306855410215,55.7249066058708,57.871502156655566,58.77573279299692,64.79029532290383,62.38568987095884,61.4708880101388,65.85216844516023,66.39246048731295,67.51326279895707,66.81892683888664,70.50596992862143,70.34311447160485,67.12760379782577,71.21246619978024,73.05902935348544,73.8543327293019,74.05006010082231,69.04872226519248,72.27001352109758,75.28707366200948,71.47246865708865,69.10966754238295,73.57716855772068,74.78996531679832,69.5116591180168,69.11856042372573,66.11425075150512,67.25353442726221,66.64224135677613,63.24229137775456,58.709597681282,55.32249223057795,52.29863508344977,48.580672905291365,47.7318921221837,47.799400367147726,49.99713249430299,54.51823545679564,54.5862098311871,60.23746686455023,61.198401311454624,62.922318120330274,63.71125558296306,66.37637238308668,64.9330492865717,66.16355903680468,63.95866643522769,65.79787571670182,63.41913977292241,60.79480320965528,61.651487238678776,60.92131703661107,59.834856467007576,60.35086101663841,57.172383722532956,57.86942619613244,53.9321809194553,51.70766679295722,48.028832307054095,45.79374840559645,42.78996803586031,46.50476753090863,44.731603965195966,44.80119039658585,49.746199453842266,50.14894757182639,53.81522397912227,53.18959856532578,58.308483897057926,54.207612398487235,56.800671079636864,57.05559158411356,52.98119319378566,51.61121001491602,47.47955693837279,48.39031629877535,44.101981872323414,46.05102540712442,44.605753111550456,45.91362485109205,47.99196806558501,49.41083802691316,51.352622683459124,48.6232258439026,45.820390285171655,43.35222069924567,43.31879360059088,42.207306968834146,40.52446615670413,44.79153156576385,43.356867883439264,47.769804045085614,50.33497451518095,54.59024184361764,55.19650926288467,59.018704918388366,60.6139423433412,60.25348749625309,57.56947104708255,53.40872521582023,52.2648917402467,50.85537686473658,49.18504220878929,51.41022156075648,52.61034208561248,56.63594714698248,54.71002821774949,53.09703914344318,55.954709180648436,53.15080887542595,50.76713960311047,48.92241127360522,48.702014889877454,44.56428350884851,45.30030411241839,41.64385295822881,44.46957688751092,39.648218315788526,41.24789653088188,44.949975818827895,45.08764623004286,47.628216067267516,49.04151865831164,51.17344595690409,53.13087850357283,54.70532954354166,54.66142248135632,58.565024739320975,60.70708540803467,58.85702539720866,61.29053837165547,63.37274233788875,60.78900303680838,57.25997811440994,57.29385173009524,55.23588352456046,58.14658382839629,58.37058357604524,58.19472593528412,57.96520230345461,55.301870051400826,60.25222156088518,61.38044655030954,62.51886980193849,62.480776618420656,58.481905117764306,63.622343083198004,66.63220782984223,65.93675712485326,69.57333376296833,68.66845218408601,72.21538116123307,68.50183733744193,68.90560602149232,67.09090950913438,65.75226608018414,67.01469400878595,64.639718088239,64.38321977885761,64.02847453201956,59.19454795069387,59.59985773910463,56.25318778599095,54.08584840577306,55.25024031168712,52.578201431117336,49.94711580878109,50.641424138880396,51.12796369808323,46.7240425073887,45.410408567346764,47.55834442450231,46.59298973088337,41.6488126253406,42.31491291917751,42.91429098368603,39.205400409200756,37.52015044255162,39.94732703769712,42.22681667670176,44.48661323813057,48.370529832637565,49.09477293237766,50.194843264683904,55.67800476328645,57.34387962329772,60.01452768661218,60.17089451399109,61.22915058319661,63.84776111218661,62.16640746288188,66.84549389730384,65.61550048992652,60.686194077384826,63.97902091532419,67.6322932270089,63.8377552023914,62.408974175380834,66.26155482192915,66.34446656446944,61.97216710641712,62.163405345623744,58.011369885512515,59.86124752423298,61.940618961877256,59.31171907236794,60.470647698498844,60.78228507756896,58.64113634933895,56.472317662372895,55.73756475465118,54.75422860160566,51.546586731526375,50.502881839296435,49.53231008815138,46.66910538076216,45.237867113217995,48.35806676839576,46.163551135674425,41.75405565021286,44.47184908648125,47.59721536993244,48.92738744987059,52.634500074223325,53.64701026590179,57.59921909721708,54.873673369500004,51.34552219642859,56.180887396790766,57.06698014832168,53.88854601332674,54.82516416409208,60.16768366468038,58.09584179350882,54.29510179230376,58.084805709555695,61.703354047832605,58.986761764632256,55.95057889072153,51.46140101767961,54.46407890692985,50.263824423686366,48.85840920772104,44.972320811640294,45.35260254230624,41.064611274495,41.601804781382775,44.85578533176175,48.26698799701425,49.86270283235639,50.50038890966916,47.68635967499174,50.88503231533092,47.11005256977241,44.08547154758215,46.61376453326656,46.585546824282055,44.58569412228149,42.64091177153524,41.42282255306459,40.26444042771613,38.448343784947646,36.31601217692462,36.798429584746614,35.403617480038584,34.43399054768208,33.92926767492961,35.733429265907915],[32.63079690620392,35.65744617523442,40.111598110674734,38.82172109686484,44.11015709371576,39.08476988084061,41.13069152053617,41.837905805188385,38.9132831926995,41.62046192770864,41.03258086028462,41.894182153086945,45.957090468589925,43.4118442355074,45.86473142810714,48.66940325476688,49.97171747152917,53.08535490117042,55.91526088874632,59.22567055671959,62.152668126686294,66.65733111245105,66.91571744012954,67.2578131897444,65.26699654074135,60.78395127029312,59.55120378501074,55.605452308692726,54.772614512911204,53.34299144365499,52.70547745281661,52.865363281328094,53.70998199991967,57.790894325588084,57.98870541572553,57.92164739664249,57.8680887060016,60.479357214499245,61.55843627288147,67.50450298617476,65.42220373338316,64.45297466584245,68.77396920978177,69.53402533723101,70.87184446213212,70.31530185247529,74.01239223952197,73.61356469754888,70.40116063148204,74.46132423223156,76.11011074664242,76.77695652578916,76.8479019519758,71.85931526654115,74.7796265610785,77.98054008858527,74.32559034239532,71.68570880925202,76.0748458726691,77.58343810499017,72.31155308020077,71.70703576500335,68.52591233357991,69.91166343147584,69.47857044718685,65.9437762946628,61.5659946076274,58.003184578196496,55.268906554235315,51.341748470047136,50.739794134711296,50.80519936745793,52.69157651782718,57.32474786328017,57.059000188039576,62.533916843277964,63.58035870946708,64.98451137903922,65.87371607736229,68.6787236652847,67.06418049210063,68.48642808729069,66.01982402829476,68.0423160480036,65.92146530101057,63.15922368860321,64.12467490723513,63.00641189192604,62.17664117332848,62.27566584156905,59.2760665447182,59.87083392798413,55.868176043569285,53.454214748058476,49.95621274526802,47.57918014883454,44.80067878837072,48.12098588933116,46.28688769547642,45.820730778071905,51.19083032141143,51.424903528508715,55.45189200980207,54.77983725359289,60.10435811157444,56.08341343347958,58.496924960639454,59.00397037963893,54.95769254747942,53.40916686710242,49.50425847435073,50.69114803463474,46.494093375909486,48.806428432178585,47.45434141088647,49.082194285999286,51.15145996275366,52.88929881612656,54.77184027706376,51.742092404956146,49.12218469125751,46.53637795500443,46.782534070642164,45.46104927570115,43.51921147479487,47.779932508369164,45.85969507364779,50.36019750461771,52.75221531415256,56.87237419112512,57.6883966024338,61.29438847403645,63.156012279275245,62.544067778477924,60.25106420615995,56.18072996456715,55.22539951700715,54.01840818649974,52.57900171999955,54.7104448659659,56.271359450079025,60.260627090248185,58.13275429596952,56.374383071525614,59.04660871967717,56.00258058270378,53.67386817783261,51.501910218941354,51.0532250175111,46.77109052080894,47.11466835088673,43.20751178792588,45.51946854773203,40.34339570898585,42.16209271459571,46.11978515813406,46.703512390992294,49.24146378531692,50.96869579724504,53.18825252128515,55.60301846248754,57.256435090880345,57.60969274782648,61.375453708614,63.69647432922171,62.17131101257929,64.41977618682238,66.71053985705474,64.04472726925066,60.58451825170902,60.395287340685,58.32243431727784,60.964668330569616,60.94903154218396,60.58461697279146,60.03473051721809,57.37839415849599,62.08411390216731,63.56959296153078,64.59833002411202,64.93845741474742,60.70323129401979,65.91957341422314,69.0208655179831,68.49786382276493,72.18283392801018,71.32576989829701,75.02624516805233,71.55048197628236,71.92922080094307,70.12844451679612,68.5794624288113,69.85269954457438,67.43675642467068,67.07547901527668,66.66366317511684,61.83235521610385,61.95997187169192,58.55368562149647,56.169985006651096,57.068897700443344,54.17329575239951,51.841553241380645,52.60562658759693,52.677915568100154,48.315348663649196,47.52785713218796,49.28817564918312,47.784981889718416,43.288114913503215,44.04118344931355,44.20929461631652,40.43446733003656,39.268304793306676,41.498490321297034,44.08132406437543,45.73006310575568,50.289863771525795,50.789499193153986,51.50403300296367,56.95635600212501,58.31344245170228,61.07866233050357,61.07197642349705,62.33075088881901,64.87776348175443,63.30720469694103,68.07232302079778,66.9466411832031,62.259065199064764,65.5412864679755,69.31308174356718,65.70807615394125,64.36594256825741,68.2890696973891,68.53440395546312,64.23723148896588,64.56022493846798,60.16999377613477,61.791708552512766,63.64289066419603,60.71707780531348,61.654291749832595,61.576706110592625,59.56041617372766,57.71883170648977,56.583866099388864,55.36879641645333,52.519286834344854,51.530606131637406,50.09739711693052,47.209738654018395,46.137378621021696,48.92544285864502,46.41344859675667,42.243964092589586,45.127506861250275,47.99069988229961,49.673491832875335,53.32090802839697,54.556165638264254,58.506039752105714,55.772305519327894,52.63611727670294,57.51354204007773,58.420304337236,55.38596831062026,56.61487927444751,61.82303690387032,59.85790716523747,56.341400598351576,60.20753758786222,63.70393769058084,61.11607077086071,58.2779179911408,53.91796258477292,57.0000580548895,52.988125327163615,51.182106801947675,47.522232279052304,47.62622118227651,43.382424852066066,44.34755257367432,47.608192345980925,51.09907398470132,52.643866344806135,52.906938300542436,50.19302727743797,53.2304123756015,49.593633060875206,46.225465774095916,48.312694028465444,47.933280590705984,45.84003944715713,44.38933765106608,42.937925781249284,41.342798303357505,39.981046093339465,38.12709962715482,38.01397539722329,36.21647722645735,35.257981764543196,34.570689957221475,36.319003759606076],[28.933962621292075,31.974155938089183,36.29619256935001,35.226793226250884,40.29577968248052,34.981102495564706,37.022290719395244,37.47758167646581,34.68031509448296,37.609289580291204,37.00614128910639,37.61917360917561,41.86489492033141,39.60081842780181,41.97829075109434,44.65713777047922,46.146201547935085,49.37999548423563,52.488746716460305,55.592025334598965,58.69337102289893,63.12209166598229,63.57233877781084,64.02223935217475,61.8522545179466,57.40138513952415,55.957300222110646,51.93302520497428,50.92669306437521,49.27761409164131,48.800215722363724,48.656870908507926,49.51062120599745,53.71351946851543,53.8604504040294,53.940938891214756,53.687476306509225,56.534296797977596,57.66235294883928,63.53150427251008,61.67173854535904,60.7763644000892,65.05259075504178,65.91986294930601,67.45106181248192,66.96286940267898,70.67131094201642,70.07081547683184,66.80749996956672,70.8227977717553,72.35202855456916,72.89474580145023,72.92925936671563,67.94831914772425,70.72657585630544,74.06974552126452,70.5452009346559,67.76692723598202,72.13760286991271,73.83376740899722,68.6247929938345,68.01721549481462,64.77304461337174,66.41044920909657,65.95283218896944,62.26840145445923,58.11786790922867,54.41441039472702,51.93008004889317,47.9098421073836,47.52479758720018,47.81220746602489,49.42405119668404,54.08911667202885,53.50861309910033,58.98715487968771,59.85281731576395,61.141874595398356,61.92805956183209,64.7067244148214,62.913117367873596,64.34284255184154,61.710936197377805,63.77828324459023,61.79200312668447,59.000385314065234,60.106359660832055,58.81983071782743,58.22886483571886,58.24424318364606,55.41527336177188,56.16748746388261,52.105070898293384,49.52864846575769,45.99375266660207,43.71074609272695,40.90025799883672,43.91765971881015,41.946216997670085,41.24661360142817,46.72839585682852,46.80278810407746,50.95906656425183,50.21802245856193,55.601175153492015,51.63060731661435,54.001953573294465,54.6458076046429,50.65715110919773,48.97812267489653,45.18520096802985,46.45442033129676,42.31312210828931,44.83453560545096,43.5830201028589,45.43301644907674,47.54402001802919,49.52999715356835,51.497417715198964,48.246697488094746,45.75928687310238,43.02671845670069,43.423344334712276,41.89192884462684,39.74380691270213,43.98449021123875,41.79534402591318,46.323215373336105,48.64284649362771,52.64259251623367,53.654221863559826,57.13721055762374,59.09410177001235,58.30007475229691,56.2407944378187,52.22146580302521,51.47496941579197,50.352298477929125,49.09114356745388,51.12000848821432,53.01052148794147,56.96801120110812,54.69601571000768,52.787330486758705,55.31901674348875,52.13406302464596,49.81880250180429,47.442908143532065,46.83961242370893,42.4971511177047,42.65183712118697,38.666298772285195,40.815022677158105,35.582048467045055,37.49468395960738,41.49036697018131,42.22314096246817,44.70865891662454,46.59253860348713,48.79631839202325,51.43427061282797,53.16356124663584,53.743065638948266,57.41744979723766,59.83397793396615,58.56860067252174,60.67969965341761,63.14883331335449,60.46755262143599,57.044763873043706,56.67140780118763,54.55880983277064,56.99273173962829,56.8267498945601,56.36792783550623,55.664057122732665,53.05710655851614,57.647571870231715,59.26857921793247,60.219310868899626,60.73736975853821,56.389313867909216,61.642452659892584,64.79213460106958,64.35615363004277,68.05284825381958,67.2422130292359,71.02540869958936,67.72322196516537,68.07787570830196,66.2953644155393,64.61481159841351,65.9240432210721,63.508612571430795,63.122550231090266,62.75108965331481,57.946789630615605,57.96751180306402,54.62692681195739,52.05201004830694,52.9749158542583,49.91779979448995,47.67216802448709,48.6560113758449,48.611993447647926,44.18536225740123,43.7389928172007,45.476581945144346,43.72766416822037,39.374201009650434,40.36832020384249,40.4897630774805,36.53458918501956,35.67660793828121,38.14516598062935,40.76018552386083,42.348676992435486,47.14093282695015,47.32466603009173,48.00595071603755,53.44262571511034,54.981278695782144,57.56484599055942,57.260319385875356,58.40664470045605,60.82066143539016,59.11196893219225,63.92942770445692,62.99255229915074,58.273833281872776,61.4300888968225,65.35667423915315,61.88144853577725,60.432168555714824,64.32035646039756,64.80979508460786,60.56857381551546,60.722015569018644,56.28430453511084,57.62635586460213,59.435508680409555,56.47222580374763,57.24807802424654,57.12809159010876,55.01841302887677,53.31240479910302,52.20515906438197,50.83842442166838,48.01308560117049,47.19276167823238,45.68976570992862,42.7471170867,41.84679535519908,44.71725930311728,42.14691843950507,38.00586413016023,41.126045516880794,44.02520107913153,45.759305544898844,49.287301323262874,50.39480697077894,54.43012544430247,51.904024734923595,48.734007537635634,53.53464059729546,54.65580916405025,51.71326030609575,52.84066787071866,58.1077518890441,56.40577596913425,52.87234476155792,56.60981310549345,60.24470224435806,57.886741335035914,55.05307023489165,50.72053670042444,54.09070233143058,50.20393410064777,48.30259317241697,44.524551289307915,44.26546329549486,39.902558369680705,41.23897966558162,44.38536150503743,47.99379439496657,49.30771627759854,49.31230439049013,46.4320383292618,49.27693295528154,45.62281486500852,42.165328585422394,43.96968399044944,43.53518174453311,41.29319542738688,40.047037616306916,38.67290955221788,36.870599537904454,35.51952825956543,33.95018930270748,33.756876725339474,31.748495030495935,30.727000803623266,29.950417672119386,31.715654142945187],[30.369432497851726,33.06900932295373,37.15317464066703,35.33884051652854,40.223784669564346,34.82493757300707,36.358967849872116,36.84865291851522,33.51363042152033,35.91824561979618,35.016990483542855,35.92923383675404,40.023418880965416,37.3494476760182,39.53513812913231,42.43293764497738,43.864295571824705,46.78366135880464,49.63295403542032,52.95808564892424,55.82328886250969,60.347026945977,60.61137217690323,61.09693859417645,59.16776694671523,54.68534676467915,53.55925295060274,49.63882972293983,48.649694529156854,47.25034154567367,46.251702022116504,46.66031742670488,47.36792900330541,51.32922727225069,51.66560166210456,51.60995792892758,51.7812174495156,54.400441324490856,55.6360820292158,61.64729737935564,59.596254225857464,58.342997860735224,62.64051423416652,63.54675617786623,64.91021173267985,64.52834386761111,68.2116414926317,67.71650856985177,64.67349361700404,68.83385715208165,70.29929025165427,71.03838984418587,70.95201127709305,65.96711848218631,68.76492533933873,71.8631063298964,68.17657502187774,65.46415127184522,69.7837722246512,71.28841587938095,65.95688419818983,65.19439729287811,61.977615479611906,63.30609708771862,62.998591893552195,59.51237598635205,55.06037698675115,51.50348992209207,48.799316776707144,44.80518009655172,44.2448749239828,44.21749259162448,46.02812088619847,50.68994272450124,50.420670969328384,55.8304296986649,57.008700241758746,58.3821154654059,59.396779103569344,62.30222560443806,60.85408310687233,62.453398282665425,60.16396846766728,62.35308528891062,60.23153394869982,57.27406252090372,58.00153236497968,56.84684040025485,55.81776651376022,55.80661754476283,52.71313292584344,53.179131710406345,49.203407467023176,46.869937292966796,43.454264826272095,40.97598657273522,38.29321002311944,41.81172770946085,40.19617265737777,40.06455410293688,45.28564929176961,45.99505602371859,49.797479596532945,49.57485267285273,55.0252675789049,51.259738621929905,54.01002328579595,54.7065347772019,50.86154298021691,49.02550808682334,45.12070901922289,45.83941347429407,41.465505978268915,43.66110945791573,41.88384252326696,43.60752030308168,45.38551677995923,47.27392747753587,48.772415903264445,45.62566445842211,43.127032951338066,40.649632318549,41.281550085409336,40.1104091052053,38.3669352203071,42.92812136836986,41.37091365804435,45.81061335138691,48.42639670870011,52.323072590860484,53.567639478938425,57.19845582571629,58.81125900667612,57.93743442916068,55.67852486576612,51.47187948985287,50.98668699744334,49.37440482596738,47.77280420448253,49.590623816863406,51.114004525938476,54.875549323433084,52.497233255787414,50.8523169350831,53.38236507358424,50.228162357551305,48.067890146369976,45.88035419612079,45.66478646994562,41.411655069959416,42.07294191828406,37.99479392642338,40.534328252514996,35.41963366106338,36.72647705017043,40.66012509416467,41.07435651794034,43.9125428909543,45.30834326889061,47.95020921347132,50.34750905509449,51.61335934271414,52.21801413448232,55.83462058251009,58.47732913878477,57.18955979220465,59.64034532788956,62.091129472918475,59.68142074294253,56.06667543190706,55.81824951298352,53.453540274421634,55.87733762063742,55.708262165240214,55.137880385599246,54.5932460593741,51.67358318069819,56.43567498089463,57.94842775443375,59.17730945446879,59.65096790249935,55.6608505628614,61.026543308812634,64.18932056856829,63.41280307086234,66.93492241580806,65.79919059063539,69.63417681259581,66.04477740887775,66.71621454170047,65.10664347164398,63.67668083267893,65.21092873361722,62.97598046349217,62.84348228506551,62.75221035020741,57.97878002176442,58.31596426024442,55.21477600541965,52.586904920430904,53.9851320634009,50.90861491521644,48.3943155942504,49.70980534701627,50.01698307664992,45.42284010473731,44.8195603784815,47.033022563509476,45.54344891395819,40.888692625702284,42.09032880441171,42.61795158948034,38.51793276104343,37.45158513925886,40.36169853247576,42.691328553713326,44.836201535055395,49.153279563764265,49.30389250592909,50.33297892082746,55.78511448606606,57.72247058825512,60.08988697304185,59.6402353420225,60.483450392927374,62.78972316090687,60.766012769493805,65.57825204872174,64.80608952816137,59.77786928209034,62.757449290456826,66.78856148906043,63.260114161147754,61.5407089893646,65.26816741772542,65.9118256460762,61.65083575600959,61.3287670607939,57.180213121647206,58.33314122768523,60.39704743091049,57.742778726064756,58.445279114774394,58.650530669891765,56.17642260844447,54.42621102788234,53.823647720441045,52.34681096881736,49.20532113450971,48.71134858370834,47.52142993542109,44.493022295113605,43.58790461027828,46.885421370123865,44.47310350292655,40.20035862040382,43.505369888545914,46.64188449599974,48.16289514638334,51.58994259897389,52.33032554203317,56.48776133139991,54.224515337878906,50.65751514296843,55.31274513957947,56.67716319942175,53.68981286575925,54.37918124231526,59.87042339520407,58.33211680914499,54.45779921386282,57.957718597726114,61.89190939865661,59.60351993290389,56.53697994440774,52.06253944576186,55.58128575214593,51.54259335186889,50.067175728034236,45.91545449512154,45.67096346048393,41.10279845384993,42.243584143028805,45.2673432386123,48.89735996893197,50.02946898326359,50.264081794491176,46.94408612285832,49.70508957381485,45.68616251311063,42.68991570542357,44.54678494795015,44.52064618809527,41.929329696055234,40.502610987404594,39.72323301782257,38.00719165379657,35.90944181741505,34.7062302590732,35.19934689060043,33.174297694178435,31.87953368526519,30.96703424205247,32.560049544553436],[34.753567699801515,37.57914310515665,41.746618678628806,40.08082064183703,45.00766432198891,39.58118318378725,41.13098111296849,41.50339701155713,38.16331335294612,40.544632315371146,39.48608698780243,40.27872186201973,44.51198341197988,41.83033968140833,43.78907044596047,46.7246848701319,48.30302366848333,51.07492773615707,53.895355041366926,57.26240646713758,60.04085013563094,64.58822288849852,64.80471712445221,65.35769802196172,63.53459133926555,59.0549299308859,58.03936731967425,54.14835990937745,53.066707903321884,51.633664020398044,50.3273244518209,50.831424624454684,51.29410110426827,55.19190176553114,55.75598053224547,55.8253167966471,56.10148298711258,58.82191336031877,60.15877269035581,66.18265929345476,64.16608397333898,62.75403075526083,67.03011538022318,68.01432868037652,69.34939212661193,69.0387109288308,72.70004043453653,72.21065378249544,69.26282099086653,73.45571046165347,74.85503660810983,75.62833408714799,75.45890960276797,70.4889057953549,73.1741594623075,76.23643003817126,72.54687852562364,69.76320270259,74.01343287097606,75.54445368761574,70.16678931909229,69.22320498316355,65.94422445754942,67.19104849528965,67.06609891754266,63.6528269912381,59.101624135831464,55.576524824957076,52.86543282201919,48.82739376166418,48.24753620556993,47.985638785429146,49.808281817389116,54.49080689315861,54.28445574268708,59.515353399367775,60.95093383467677,62.18674927738579,63.394287350470584,66.43466887100497,65.07154069015097,66.82966716625596,64.55376998527586,66.85845531629795,64.80095827836584,61.744477668420565,62.36912708864582,61.090109222915146,59.98855754292019,59.73197263840046,56.60572603624055,56.81680122906283,52.881116022900386,50.595474182627655,47.39337921703565,44.72455783135399,42.28553437520859,45.79838155732746,44.31854405522531,44.06472085663041,49.43363458529733,50.24500349786571,54.130248292489455,54.0177342228354,59.56255674712824,55.86660265110126,58.58049711022114,59.36148878622556,55.526344376165476,53.639111555683684,49.80364156171825,50.563089194321044,46.19673077674153,48.42549664090071,46.56614158802029,48.311616858813544,49.98764628949404,51.87871962125742,53.18128790349708,50.03240991426849,47.57641858720605,45.192748004540675,45.93265633332554,44.840967688686945,43.14946931457102,47.741827456162184,46.15614937519992,50.60361836056111,53.1931461608403,57.05734809376099,58.34100516332144,61.93069583439845,63.59367899635489,62.66549700728731,60.47722527094294,56.27552636352434,55.81035846508554,54.19717936753343,52.5707342565311,54.35861261211137,55.8119434746631,59.52301230138161,57.10526374013396,55.52684463620366,58.021123723709195,54.82713031323357,52.73257557422004,50.51277734400813,50.317310721609914,46.04761963270388,46.64751565566169,42.460531737180474,44.799429143625915,39.5152095411809,40.812744381405004,44.8652615314289,45.4373323470816,48.352769002962326,49.76751537990367,52.54211857801921,55.04522861088243,56.22519492706839,56.93976784062719,60.50329844076433,63.23154354157954,61.97662444726933,64.45426625975355,66.90795451086417,64.5092362644684,60.88758043041538,60.64473975260777,58.26164610185281,60.644960404191,60.419926906081635,59.769131977675336,59.141784126750494,56.14820250302566,60.829796562229525,62.47264810620107,63.72673136284347,64.32793490253381,60.33163024632792,65.73065397231076,68.91944048482412,68.14058635939952,71.6430465731781,70.44862705829223,74.33348115612193,70.72802297845651,71.4641091837733,69.88583157421499,68.45778260432483,70.01323372253528,67.78435072883677,67.64417241893881,67.53518977141125,62.75632573419421,63.03620733010102,59.89271116482801,57.248184810227,58.52772176686198,55.411424721334775,52.998962546603124,54.25804625810298,54.42482159158633,49.87818027286056,49.36096986859712,51.40706258116684,49.7695824497367,45.26666190227286,46.388183574863014,46.72542518733322,42.681291680279934,41.710024452523704,44.39527514389051,46.86129618577623,48.73839514004786,53.26665574562676,53.483175086629394,54.338960363322066,59.7888488683344,61.47343516501837,63.98763811494719,63.60131626194349,64.60339872818876,66.93402726739043,65.02472496040923,69.85786589435034,69.058621589906,64.1626822117584,67.18780392232206,71.2090869306364,67.71253725275808,66.07803025388117,69.850402061153,70.45955569028851,66.20394364956569,66.0085048271812,61.78437977906607,62.94523805862022,64.92556300445695,62.150750765342096,62.79990523214206,62.8224568700456,60.43775345296628,58.81396810895975,58.00363994300926,56.45273258838868,53.49235961925438,52.97238008644364,51.56444063203515,48.54455315536474,47.766051564936355,50.84954882424236,48.28404984036319,44.13255738958226,47.41988971019514,50.395234389443395,52.08655387365545,55.54151142067387,56.458607933025554,60.57637864529754,58.21172667121131,54.86225599903222,59.576668677577196,60.8489319571408,57.88615043373797,58.76775268964976,64.16898449200932,62.54641050135659,58.8120404724734,62.41524630650687,66.22661173529364,63.873925583319576,60.89083700113042,56.45378634861732,59.849571018232055,55.81792067006559,54.21650712933691,50.22902588982724,50.06308103837298,45.57541093003927,46.70194491496706,49.79381603211049,53.394685738208594,54.62803757165175,54.8394698145817,51.63622252092228,54.41123332216312,50.44770642339542,47.35868831878357,49.12542899025481,48.96110616383711,46.36795975495938,45.10641314416834,44.19889499817551,42.34938118342795,40.459732168366514,39.2903269821122,39.529755722135434,37.3884578953187,36.11770528418759,35.12378724052406,36.641695666333746],[33.04230713389929,36.15347475190091,40.41915071040124,39.5387009451638,44.465987601678336,38.93311274207597,40.87382594895269,41.011446276077145,38.17814857764351,41.1103827491362,40.2258640632222,40.57812657661938,45.10645403233711,42.93104021267021,44.93050340814876,47.62380175094763,49.42393310954062,52.492042337425225,55.707264696507075,58.77296661834779,61.84269639317861,66.27546950403341,66.76010497479943,67.37071018559382,65.25809746851019,60.819569655740864,59.433557156892476,55.40850630257399,54.169198016234056,52.37328740009208,51.505081939757275,51.38023489113049,51.88989023993726,56.058894616474504,56.504624865229935,56.825820529965476,56.649874616698696,59.750726444419286,61.063486001483625,66.92577370507807,65.22385158839475,64.10962743922745,68.33744276515505,69.383687947561,70.98152010477044,70.64520030272077,74.33807727912344,73.62836612755366,70.48317815142168,74.54255443017946,75.89500779732523,76.4322574132622,76.31253989649429,71.35503712038599,73.89710796275976,77.24995899772361,73.77989558478134,70.82698648484174,75.09117690942863,76.91844698250631,71.66557516031922,70.7964020099125,67.42641464737451,69.0819040422655,68.86603895581622,65.20078957338222,61.015031680546066,57.27603404783052,54.90441866153813,50.758677534816734,50.457705746551504,50.53648308940703,52.02349290759977,56.75076003737656,56.09289801735743,61.34230364865192,62.47451631087014,63.522095344961095,64.53011917473196,67.49220571309311,65.74299884602549,67.41680118704058,64.74717772539336,67.01523799394205,65.17902789924257,62.2105903520933,63.211796775041684,61.67109029685401,61.071111595359845,60.701716740297094,57.897055150616325,58.374703642534655,54.330500324289574,51.74262854672148,48.476070758123385,45.96423866001708,43.46800535884256,46.37300977435225,44.55062153527518,43.63380749966327,49.34526735883989,49.56410325273563,53.853685274607166,53.308273505057954,58.86620045311622,55.06269691144798,57.41827826405432,58.27242551399123,54.369786600608094,52.51212429674651,48.877744382835616,50.15031629377347,46.01584524695775,48.65224546326637,47.254837435581514,49.253777453766894,51.19839160958715,53.33298109797643,55.022886636812466,51.63814027731612,49.28180063415303,46.61764912299185,47.296485646282676,45.803317433453806,43.671298470976915,48.00390964889648,45.732116104837154,50.26180267955489,52.54920752321829,56.39981170461491,57.629695943850024,60.995396365606396,63.02178339046211,62.02384762522198,60.18109474147513,56.17383748730549,55.63453579889108,54.47777860564547,53.23444381885475,55.12116364236394,57.064803043419346,60.90882001768926,58.47263732246134,56.597680726671726,58.993481651424666,55.668780510151386,53.474345371376046,50.95617703798022,50.35088182311411,45.96441203278871,46.01033168282372,41.81176416110435,43.64744895664576,38.1769658843616,40.01642204931366,44.186089966914494,45.1730547286986,47.794187043192345,49.71671854079767,52.16864658252876,55.04981460700139,56.63263074891334,57.50935883068148,61.0474725705691,63.67610700934075,62.616010891793785,64.73114249501144,67.3150253639243,64.68311111791378,61.245664846227946,60.78272800675251,58.57862180653228,60.823066832733055,60.48436639959028,59.83816402970293,58.948363556333675,56.221776117673464,60.65598494032154,62.5253803408877,63.50452879637104,64.30237017561039,59.93303290070054,65.27007492863743,68.4864955307121,68.06008836962025,71.70031533290224,70.78974242171186,74.69518130274706,71.44708941789753,71.91564782410413,70.21745241238462,68.49300275176664,69.89021458244481,67.51267554288991,67.1370173360175,66.81322684578808,62.035665736196464,61.961352589101274,58.653964990571694,55.93211954726097,56.78437396702364,53.576303693198064,51.490809523541614,52.59382955779046,52.340687037475455,47.93430469806653,47.80284765935291,49.36898005545644,47.31139274472111,43.243845704814674,44.31275720689373,44.20964341324455,40.228719434607406,39.67460436572162,42.035617688256636,44.7854043069529,46.04095274384486,51.16023525498288,51.227678373349065,51.69782000897946,57.09004454216692,58.44275766945069,61.07049545986444,60.64211144336918,61.88747147085583,64.22045955748477,62.541751360656654,67.40451231316318,66.57950810473791,61.99306496418354,65.09328802597872,69.11091423230472,65.76337257078436,64.32633051494176,68.2148567952162,68.83554255243759,64.65105770927987,64.79372608323018,60.283139870959026,61.419631112553745,63.12316040811692,60.026330557149244,60.60786277852328,60.25730971704979,58.15805025869865,56.71702524689366,55.425468488634216,53.842712447285926,51.24847714240706,50.56517545611173,48.771093396249256,45.80779406126696,45.20891885174218,47.88367912503822,45.102020526081546,41.16688724306915,44.42587210068343,47.13411369988601,49.09533997518093,52.54164434951528,53.74847042562355,57.782434172269554,55.304069179483214,52.37338023783005,57.15577039821315,58.320376091932005,55.4798534967263,56.732328431749195,61.923646600314804,60.30806270421368,56.921240206129426,60.66387695737765,64.24868594797275,61.97002754803331,59.22987892407213,54.96170567111696,58.352091144997814,54.543016457362185,52.49334758368303,48.82728358543425,48.45321310542575,44.117043573778844,45.62088926363523,48.74750140576766,52.37547984545119,53.646700528847006,53.49434590572809,50.600111777849584,53.31599296167535,49.67002544346741,46.13189339724696,47.62815258342667,47.04386007653132,44.645219066841804,43.73649584804675,42.36254821007352,40.26410751280023,39.06712506336706,37.82384860546945,37.36826290617634,35.07284341948993,34.00160326042837,33.035295560016195,34.64907679723729],[30.764642245466316,33.69114261294332,37.646923345573825,36.64992632935306,41.19075192982798,35.30286814094333,36.94067061429125,36.7533485225585,33.78705853536078,36.67909431592142,35.5684995328808,35.73597600477088,40.436837326052036,38.39071034853927,40.12209838284837,42.782324339978565,44.813428452729376,47.81113268069583,51.20443043766235,54.145436911172766,57.26880513874124,61.657126238624194,62.25658396803134,63.022828701744544,60.85726968223602,56.451755394185106,55.0160014618128,50.972046527861025,49.51713065398037,47.58745829805312,46.55613106655146,46.38469479713607,46.7630164928679,50.93470633672901,51.47498184464932,51.92951444543762,51.76991161250291,55.04539774657822,56.49589814109776,62.33356275334061,60.79695000792785,59.54915965555632,63.72159848142184,64.92834344869935,66.64804479388329,66.45897061558047,70.14051806846382,69.2633022039503,66.20102054826819,70.28320801551449,71.44907993796993,71.95770305795766,71.71077817551122,66.77466029493127,69.13200205258059,72.50977148140379,69.10602958511083,66.01524145094344,70.21274349736613,72.15967934355821,66.91170878487526,65.92116661730998,62.48512273344719,64.25216106864706,64.12321460961543,60.41045705829657,56.319994705155594,52.505258854914196,50.32024914876935,46.07965667534424,45.94578906889805,46.07515836838753,47.33196955774061,52.08529451852957,51.231329722093314,56.396840974746,57.53713109302231,58.46220976592976,59.51158728935119,62.536633087366866,60.784754946375145,62.59061145689218,59.916186397656745,62.32198839014372,60.58659926335886,57.480934334231904,58.42060676704191,56.726490212219815,56.15623791942551,55.617517525587026,52.86895506870562,53.324516177651,49.26559269543453,46.622995341721996,43.43100121861282,40.88264749941574,38.483908602235196,41.27781637060796,39.51881574282129,38.59511985046685,44.340781715472374,44.74885632513288,49.01465924876165,48.70521343270689,54.38675821217435,50.781715713016936,53.283751401064784,54.34370601660681,50.603998429892954,48.49895195586578,44.962259041916525,46.02884585858358,41.851140864126116,44.553721351305285,42.97510825320367,45.1665733631695,46.949119088158135,49.313650107145804,50.8049442650714,47.22698282583105,45.04142975303399,42.373239864774625,43.379842342839815,41.85987202655016,39.72845344667129,44.19403262056306,41.95746238723945,46.45005953826727,48.80091632768628,52.432334462080135,54.02181268840503,57.30858661022252,59.25898154768832,57.99942388888211,56.336756737945635,52.29916780325362,52.150215493546064,50.82809889337056,49.60624956747517,51.248671965590646,53.35245061758448,57.031668607583796,54.3732799928018,52.48598728524634,54.70248350057744,51.228130638536456,49.15629614000907,46.499010868783316,45.92838291241737,41.52882280228995,41.61165670493066,37.24551340340409,39.04146483013069,33.52464823347173,35.12172714781175,39.33866744516219,40.37324461548509,43.14694599229916,44.9878365490743,47.69498413467299,50.72602989294313,52.11979726475288,53.299475759834166,56.6768734883029,59.55060005807219,58.78435707708647,60.92603930034966,63.695289622295796,61.200750353050076,57.71239764441211,57.11112992932737,54.729914207363656,56.712817259508874,56.18604790025527,55.35104562569113,54.34968205518972,51.49517581465099,55.85915895484372,57.85901653959724,58.90508654846259,59.91360174874604,55.61813530632753,61.05300992058854,64.32868452043125,63.81319591723908,67.36508303271725,66.32195676175019,70.35464610865932,67.15772549876934,67.77391403517588,66.19697860479918,64.45968802966385,66.02102810752258,63.75479895342792,63.49343051914944,63.36744789159187,58.64728491563875,58.614650088609814,55.5170434768304,52.554365352293566,53.67213560084468,50.27209173901783,48.16547785161773,49.69015560318352,49.47450376678416,44.932949878287324,45.12376827865132,46.88666727279889,44.67806623304863,40.663439509293454,42.09858862768127,42.13585699258858,37.91015393223457,37.61323145457606,40.420604921915235,43.049934761673875,44.49528636852819,49.60415630304447,49.320638087167296,49.91455458517049,55.27164984097929,56.991421383254455,59.321305519519555,58.4960636611202,59.46949318205332,61.58860205945256,59.60155821790353,64.51184753641343,63.9872099727548,59.22871525941916,62.09010611684776,66.3270675084594,63.10719130079754,61.4219329457914,65.17397610097325,66.14522915445656,62.03104936483857,61.74349560639591,57.34259371280038,58.056725084987114,59.831420454089006,56.85063235793298,57.192953669989386,56.94188614533979,54.54875317347471,53.27174452627562,52.260611752752006,50.42584784119905,47.724275354653216,47.4262896927084,45.691430620202695,42.626989817762414,42.26247413958523,45.220632173624594,42.4443797090367,38.514786877222676,42.13384994797611,44.972366081703264,46.89148304185839,50.131420221978914,51.01167272350783,55.19104348301643,53.084996169239496,49.946486551703494,54.54895705595539,56.06897352790882,53.32235252834957,54.24620000036163,59.5901587952294,58.34967065685669,54.79248852419171,58.26277984908792,62.12882564644816,60.13670910177758,57.29858428166845,53.01046892065824,56.753676277450246,53.0151603648596,51.08764796613361,47.14226500532082,46.39857018854908,41.865286999214504,43.65518653273529,46.57935524727732,50.319042928769434,51.25141080824292,50.933334804760776,47.64975207157865,50.08865523654757,46.25007988492047,42.86625871762611,44.02902568008956,43.58362949618941,40.81064549330501,40.09421503153984,39.132509728370586,36.81430596778974,35.25218529441181,34.59154286198554,34.37857213093002,31.789916756073062,30.48993935094237,29.31905903861992,30.80481392943583],[34.17247531708403,36.84168760303277,40.487408270894974,39.091046185932754,43.25709132494454,37.12986988247599,38.23274408928486,37.744050269238286,34.372275949257,36.83142562545461,35.22653420622573,35.3383892262752,40.14305936508773,37.945869169458184,39.11423901194234,41.902936800437246,44.197705735240845,46.78638975987225,50.11521673834792,53.11716189969254,56.04460034055936,60.461165370401964,60.99343534362545,61.9663464056769,60.006778103738256,55.6285324305788,54.45421019396957,50.50797268966598,48.82089674104354,46.92699594119717,45.1519666902715,45.389798828755566,45.33405759003062,49.2658154754703,50.21739704701674,50.806443412949804,51.026458087273475,54.371141111526406,56.07832320535779,61.9720880526068,60.48219018186128,58.77057196556526,62.879180711974605,64.3003057600266,65.9859119148261,66.03758219996313,69.66960420828555,68.73089034130324,65.9547654150588,70.1592817177532,71.08169863060733,71.71297312137268,71.22515555223465,66.32881154378775,68.4506590115352,71.65255496408996,68.20983464808097,64.99729183415921,69.03426247386932,70.97640535463982,65.62939195801381,64.2823492712759,60.75998284340971,62.346900574296775,62.55181936879495,58.999626409263364,54.722601894950934,50.98259874469086,48.81513952715043,44.49104698811613,44.36715675751524,44.119136534305184,45.312615595497064,50.09202476362897,49.32853410413127,54.19458086369121,55.77762076958221,56.52202436167825,57.92598631773586,61.195980770718045,59.74139285225328,61.89637372160057,59.45597255644994,62.141327026834645,60.46667854510912,57.074206730917915,57.629061334415745,55.79018097929351,54.905114188238834,53.98519931979999,51.096171291194636,51.106527386837364,47.145346447271386,44.671798200383485,41.84352586308085,38.96798208267936,36.99123590746537,39.99802813741115,38.67329990783776,38.021848410101015,43.69608566857657,44.75565283447078,48.81158191884708,49.11465440653835,54.96629057580957,51.72455743080935,54.5209256168177,55.82649244294533,52.32722807101078,49.924399302920804,46.479605255086234,47.080089444494575,42.77017307562172,45.31753524172968,43.21684354413477,45.473493172159166,46.82329108079146,49.29021126978776,50.15533070180622,46.50917393207895,44.50619499587102,42.097445611397674,43.58488341572116,42.35132552791708,40.53790599827102,45.28261352321477,43.46260848248106,47.83837865286786,50.374858167453546,53.73342625151431,55.74239772347455,59.00856479233984,60.72759549148748,59.191903642215266,57.606438422667416,53.46324612297802,53.766845049271886,52.03916640134773,50.612566747830535,51.91095357935948,53.83812709559005,57.212753610089024,54.299635693458015,52.63253951935103,54.66703989146443,51.082782858708434,49.272334237744325,46.61871598457412,46.34325838673117,42.01983107646626,42.40396940742314,37.81580258367554,39.63490046051017,34.10306003601938,35.068359306596854,39.32988152139451,40.320494324207054,43.47750431821499,44.939103968572105,48.21253921747026,51.27132747550608,52.14709816233751,53.660657294514714,56.81636362930336,60.07277917067134,59.544906004246684,61.92338157798473,64.8066273560546,62.593548185000536,58.96495945915921,58.347726153025874,55.682493685511105,57.42084606354392,56.707588825069884,55.596409352196765,54.54358084053272,51.34753566309488,55.669975607573555,57.80449488295827,59.090459745307335,60.337028981450196,56.33637379832927,61.91206736034558,65.24617993087664,64.45742053219725,67.80422086072258,66.41370962200922,70.60709911329373,67.26519081076084,68.24675510225796,66.89993964370626,65.31491452020215,67.14465168672137,65.0777249623303,65.04069410125611,65.20779627772934,60.57171655072397,60.710932033095055,57.88273087476641,54.730746727429555,56.21057258442471,52.66315619674746,50.477775354159604,52.4238406096047,52.333875165832545,47.67819981809015,48.044752967139424,50.07255500459997,47.827383215895864,43.81800019974019,45.52443546148931,45.742165655283976,41.36823640459242,41.16961828631545,44.30560507582896,46.78034878513856,48.451522036254545,53.412475163404984,52.947223897546024,53.68506037032385,58.999910257831644,60.980386970141886,63.098668476463736,61.9879333721879,62.72736806205814,64.65103529961883,62.375382290164765,67.30634369075028,67.05873793109491,62.134671152369926,64.751811860286,69.17095553076042,66.04689547434609,64.1109758431951,67.69694386961667,68.96658880211804,64.90365825551058,64.15031189324155,59.954594247433604,60.27058310285906,62.17024099568974,59.37340724575266,59.46224143300241,59.3274013492805,56.60155200258195,55.52523711262071,54.8486883770072,52.73110651032619,49.937935732827825,50.076633049497715,48.412341303207754,45.27075755045363,45.15681654476177,48.35282415565377,45.58512166966577,41.72460046183346,45.61500633328843,48.522994011307674,50.404606445552744,53.45300471116216,54.03845811896549,58.324620767965634,56.54690583858615,53.23142298188767,57.650552410584076,59.462082334950296,56.78187208632352,57.384440169479845,62.8620605083862,61.894821661780576,58.157022219069155,61.37880970659016,65.49065088816498,63.67989417571618,60.7209760880609,56.38424743898883,60.32888882523842,56.56714009279236,54.86763145763892,50.67557651331885,49.77694737688552,45.09244412486162,46.919486170032435,49.68316183108825,53.465072733564575,54.14657842491452,53.84249026583008,50.15620337476955,52.354671137701125,48.23940738169732,45.19461103741634,46.085330249196275,45.87855175320558,42.67093650558414,42.1109649291669,41.69701889535526,39.219815722836685,37.14053192262678,37.11757226836583,37.28885566853925,34.473847294565395,32.90598440694212,31.464068495708787,32.66209513501664],[34.12990559648125,36.497283584761746,39.856907440827094,38.01322927431243,41.89051837698629,35.71563838300968,36.39885682459261,35.85251938006237,32.15341064566798,34.219855905700676,32.37143063537582,32.62375817153541,37.31743473144472,34.92762692810473,35.87499903749636,38.77018586914302,41.07503219152405,43.434932776302425,46.64749228390532,49.725711109502704,52.52198385025082,56.96236931819905,57.422141333884504,58.45971343994044,56.622636775614765,52.25651486621835,51.25357750389388,47.38496969249023,45.65645080778695,43.89427407655906,41.770651402457766,42.347582213104715,42.187474043179236,45.94988807521581,47.020020641183166,47.54158007264113,48.02721107067821,51.24862490587588,53.04520086438967,58.989383951282605,57.434634003135045,55.48665281152069,59.577027025938115,61.05606029622225,62.67385921565631,62.82803902752077,66.42937056601863,65.50651768800003,62.890106329569655,67.16431359440357,67.9979737386548,68.73542784371867,68.14978425184434,63.27448699566153,65.36232558307849,68.41646339667093,64.9023498009305,61.70997696140377,65.69869755484373,67.54926173495707,62.147087527509385,60.69594547672343,57.1869436155705,58.620849591142175,58.922023321859506,55.47748599626016,51.0708344399522,47.404186980085704,45.17274678795104,40.853348733756604,40.68609582321909,40.28072328110364,41.50311984646792,46.272756569269845,45.63401265018794,50.441683481182466,52.18850775928237,52.968660979362575,54.50082953186666,57.842428933524964,56.59869752366407,58.8668169438102,56.6506423441427,59.42168161278758,57.6889067363568,54.183583403978645,54.491140344471226,52.7171331087743,51.57186757688076,50.62221095470745,47.58889914378612,47.440243892049786,43.53430751211478,41.20617357705495,38.46714838321721,35.47853439595023,33.612575000803744,36.90729645252826,35.84319780533897,35.61263574023173,41.04174206485238,42.559119824414104,46.327558908815185,47.014768475811124,52.88340100728257,49.833608695236066,52.89043804508108,54.253508628916364,50.90992394369385,48.38013750378944,44.91460287476184,45.10475894900249,40.686793898302234,43.01754005097336,40.56540464860331,42.78475769004248,43.869566716544966,46.336712198571284,46.85931965914625,43.23080906877214,41.29848602234552,39.06239149563887,40.79272782919068,39.7753171364919,38.2278716950055,43.14154995710448,41.73865638888325,45.99695078306041,48.70721647907434,51.918940729270886,54.14139429185735,57.45857602808894,58.929898496731894,57.29733441185822,55.637140383686656,51.40360511922803,51.96916185787974,49.91936411470968,48.31567101585188,49.40164321120696,51.15628214447149,54.341662075677,51.314220784912045,49.80639572084199,51.771279783882804,48.18625467630744,46.51821940531527,43.962994672539516,43.944420279119825,39.723660688152584,40.447166690274166,35.827569468615536,37.90258240447692,32.55443407718135,33.017264209714,37.17323114129543,37.925802871754925,41.317122004003174,42.416506786819916,45.99933706663699,48.90830611209186,49.44165104318466,51.03886156915971,54.095163036857144,57.532916243876066,57.078302557719795,59.64715660200379,62.55489725764684,60.553099820138634,56.8229626849512,56.24336134780496,53.398095100608636,55.04678446781227,54.29050523739894,53.07503278992136,52.11152482058583,48.70918126322467,53.11173143210944,55.17905056812979,56.65073685979772,57.898989793442695,54.166994848899826,59.79949670908649,63.13592224229486,62.1122201010248,65.32206459218274,63.708764781900236,67.94380562339877,64.45595754438418,65.65739413374274,64.45036305998579,63.02067647951666,65.01629194212411,63.09819112116037,63.24567437537145,63.63254685724852,59.061274542466094,59.40761930109064,56.800449494921715,53.588040172666126,55.42337338303727,51.859381183580304,49.508301965123714,51.738763239437645,51.89204524054242,47.14389813225816,47.46941675903694,49.824824896812416,47.75342091921103,43.5925316859792,45.48676362022258,45.997580786984386,41.53611563030459,41.25231988568764,44.7240613912574,46.96624976326375,49.01908929552597,53.63066645148909,53.068942479711154,54.059213689123936,59.34299228377147,61.66023129300359,63.55999698178251,62.287636309644604,62.758257507747516,64.56350904126784,62.02793542638864,66.93292078525909,66.84945796869457,61.706760646147906,64.14462082892912,68.64886951121018,65.53036538668668,63.37520006162463,66.80885688054593,68.24518067026553,64.20610450616681,63.05702106730827,59.0983144182053,59.200940139724864,61.27596503615385,58.73397198042279,58.73965042540341,58.86747517942755,55.8581875674424,54.76776657353357,54.50833828624918,52.30974460994727,49.2817709719044,49.70044155663868,48.30366907468235,45.12211516946031,45.01906928954304,48.53780136101509,45.93183802683039,42.00610287820285,46.02391527856076,49.10352707656271,50.795433336658704,53.71998522824893,53.98464975375893,58.34774940960671,56.826209984380164,53.215436282514354,57.46994325983255,59.49941959743069,56.822964281375974,57.06261170426183,62.68569051033776,61.907983756448765,57.93604991329818,60.92245127387666,65.26646217536047,63.576951949600456,60.46725513877295,56.06977055736502,60.170561358270426,56.36667933665426,54.960619457327056,50.51037299211231,49.53301353199382,44.728112008604285,46.49529269508559,49.100942939475864,52.88885763488394,53.36337790114998,53.157862981360985,49.1416943630866,51.19753627578935,46.85150806872596,44.168737053078345,45.014996226056326,45.11699133616633,41.652864373116266,41.00367936912423,41.07313146486909,38.66597947245821,36.04193661751164,36.378190912765106,37.04492055479226,34.243483196909565,32.48236866971428,30.952586803666474,31.987122680855876],[35.11851167384212,37.69018117250717,40.993758717354574,39.883125789195596,43.550930780402425,37.10513908971152,37.970239291646394,36.91538241722011,33.6612924391052,36.18216587050541,34.2679393657146,33.8550909776606,39.002937289895485,37.216772026268664,37.83617639040009,40.457315582009116,43.22404757809054,45.680192219388594,49.32952187872062,52.042483553301665,55.05760890428593,59.347842673719406,60.09168924642243,61.32814866154133,59.27838762726722,55.00785928712497,53.71791556936619,49.767496892186884,47.69398787656949,45.4809782928909,43.440095832230874,43.43173907909157,43.004019695952145,46.94417434719391,48.15994052663367,49.12919684174484,49.2665041133958,53.03725655643288,54.97007142244519,60.71755141318129,59.60566332526792,57.73951263039343,61.70468038494207,63.399973276839745,65.31248100074272,65.58871935047428,69.17592138385189,67.94597963464527,65.2855842992869,69.45699225482502,70.07531418468004,70.59481682641749,69.90682927352434,65.08846678335767,66.81491541253085,70.11888423483812,66.87416729212131,63.38562321288748,67.26061666538465,69.48657942571502,64.1992003873994,62.594963911025985,58.92298618184282,60.75321065163756,61.174921963466,57.54149302206238,53.50337476427406,49.64311921734787,47.880675902903114,43.415180585967775,43.61218456924546,43.38953581514288,44.12921772379791,48.918529110786096,47.76261237810602,52.32435188959184,53.985654466753225,54.364980187935096,55.88745148226894,59.29024490506385,57.74961250149122,60.152798609798985,57.577069065524064,60.49433726369603,59.10456553137435,55.5278475815716,56.068405809373154,53.83850769675503,53.15309718891936,51.763631391197336,49.091410037466936,48.96875891367376,45.021281547954956,42.41668276160222,39.89594224938911,36.91660485443417,35.312243108384926,37.845096331197134,36.61819196600155,35.59422120861016,41.47088480851828,42.61990369008371,46.812082842402916,47.33902879101548,53.347794533050816,50.4154340885387,53.1864308440363,54.82243113455015,51.55403009878164,48.858545660458695,45.72956884349821,46.293668327279036,42.11019295029278,44.86952977893676,42.70168760070352,45.26697858940522,46.422166365863276,49.23045850029777,49.84990909959858,45.91941945422583,44.23620189932279,41.827985651248454,43.74199251585791,42.404866624466656,40.502754580668146,45.23449931097327,43.21538378500078,47.494281181763654,49.92867946719299,52.94062385895446,55.36374940249929,58.37577353946673,60.1651575323614,58.26193336036271,57.103880705336955,53.05789400505051,53.80513094328658,52.08227537266694,50.83084790510591,51.83905074772114,54.071590003231044,57.22788018438372,54.04652803755969,52.31625290892066,54.0377055051526,50.23261716520662,48.612260276861555,45.682894685680495,45.31174018648709,40.998185185954505,41.15949967026119,36.372737702298274,37.72497571663035,32.064948370254406,32.86022514248907,37.227950320653086,38.56213791849756,41.80376431398919,43.34627272292231,46.87384143829088,50.307608760680665,51.02664345146197,53.04764141992399,55.91654879110013,59.463327498653754,59.398085078447224,61.658344966453754,64.78648527703089,62.67047624803281,59.08726501125872,58.23317908258127,55.44547713589459,56.76314885048529,55.73923104853681,54.344758996837925,52.990944038775325,49.71962816387472,53.730036176383315,56.20862182334886,57.47437841155252,59.155018907293055,55.13522520173711,60.772907246578534,64.17953426261612,63.43477520876303,66.67973117664475,65.20568804261106,69.57067100611474,66.44623715005561,67.54146984222119,66.33174144025703,64.62743069392167,66.591426467977,64.61813515405325,64.61378709120038,64.91396627904535,60.39320549924417,60.39858656111172,57.75466809075161,54.32131119303294,55.83880744956583,52.052836814698765,50.080610294654825,52.383872865039265,52.07613980541342,47.43398853490983,48.368396950512846,50.28306838031833,47.64280646268763,44.0502504360809,46.05047640872594,46.12265045294704,41.64226293407533,41.945705996482594,45.22006526307803,47.71357187111366,49.144339204018905,54.38303088427722,53.53196514696936,54.129533034500106,59.31010012717083,61.373063708554035,63.28055360193252,61.76068305580762,62.38969892303494,64.06240795734915,61.627392645439095,66.58793322627707,66.66414020204161,61.812011126499804,64.18472183531665,68.80708915622391,65.94315703355004,63.8792068695099,67.35001002558192,68.99299333482189,65.0786917597226,64.06316698323033,59.873103506816605,59.68602477968623,61.47813102811078,58.635672593389664,58.367325527685466,58.06587949568246,55.201308041410265,54.51170540468045,53.83586287676817,51.37375393428539,48.78499151713726,49.303391039390064,47.42461613021905,44.256576619052346,44.59143051830679,47.73476751520943,44.834133808239024,41.25065311011665,45.4378240755525,48.2141775484867,50.23922527577785,53.0156472363638,53.45562772168121,57.78664989079265,56.344964985834075,53.16056750063308,57.37892867815932,59.465279680937336,56.98996052928493,57.49352177544815,62.932911995351816,62.33964702885119,58.68769340883536,61.69415376153141,65.90569732656118,64.41407237766057,61.52856373623622,57.30865277565478,61.511440539469696,57.95307027975516,56.146933153202,51.94243784570191,50.63691144152255,45.931395447211294,48.16099625809541,50.72207093921111,54.56168792817281,54.94769823165254,54.31053136760905,50.44006052374425,52.27428636384373,48.16344958635692,45.12124758859839,45.42848006407671,45.128216176336586,41.61258370582349,41.55970689843378,41.37669503095186,38.51361072117208,36.47071285779579,37.136550063353845,37.14727222794532,33.952144691108316,32.24715489047287,30.558335139694726,31.49130356110814],[31.282956800517503,34.014468502346276,37.53454702056828,36.65410066400603,40.61036195550087,34.299753283827165,35.56222497859692,34.773607966949854,31.77379094652451,34.64821048888707,33.14343288354065,32.84249001886775,37.90175788596427,36.1801009246719,37.33537099610598,39.888800206806835,42.39526280875398,45.22223404298074,48.91291371364924,51.61265035738771,54.79759135216566,59.08853163614574,59.87353044481093,60.91617786060289,58.69485123447595,54.376339326565414,52.87346637661109,48.82548272333673,46.97288239707693,44.7591391194964,43.37378054728864,43.056714347946695,43.064424186265605,47.22793523627768,48.04560662605987,48.843309288726005,48.678635784353496,52.34609760057472,54.049867127403346,59.79073602899005,58.5945465290279,57.11658495060394,61.163600454333135,62.65847475882053,64.58526921756764,64.64628528969715,68.29189818797654,67.13396538481915,64.21949429480703,68.31004412016183,69.15262075821693,69.58650848041698,69.11517903264198,64.24206570326994,66.2195548718316,69.65814227414192,66.41083489120993,63.05101991702416,67.09290092909954,69.28762455816563,64.06334207946635,62.79499435393334,59.21057478557336,61.17064455513449,61.273245628684506,57.50041701837458,53.584021654764435,49.65774724893519,47.831672742642084,43.430911593772116,43.59025924055572,43.7035928518147,44.54671233271066,49.333143988654825,48.13398478193981,53.024126043963214,54.28271381765174,54.88072832998392,56.07657002754916,59.2575642467987,57.47707969330356,59.56025754975102,56.81018562456283,59.47935000249832,57.995667763442256,54.65948804196578,55.51519348674614,53.45846692489605,53.00193644869735,52.01332734820776,49.4169455085931,49.71549150522294,45.662949310267194,42.91890070693221,40.00807602050282,37.32183407183399,35.26868941877408,37.714981663451525,36.094665043223245,34.92262486746461,40.84932930757604,41.47787937655376,45.82305055618327,45.846723147115185,51.73024057054032,48.46973067930997,51.05409537636642,52.474741841968196,48.995891201315985,46.531336720372074,43.27451811216843,44.172942770877604,40.04272652834273,42.913566709820046,41.135982079084926,43.64358675984562,45.161703149577235,47.88224921166806,49.02878585493332,45.15540012826254,43.28938387021169,40.652316304612086,42.17056995298403,40.605566873955475,38.452556430115685,43.00914534651364,40.6945658453578,45.09181575115412,47.42048898159832,50.678253365765684,52.77225857818858,55.841083913308715,57.78521441393764,56.11530514239723,54.844601740196076,50.84791855969553,51.24096045242481,49.799251427668956,48.68282165331636,49.96924339685815,52.33241844288745,55.74905251850082,52.770858704096604,50.86253429676531,52.75993540820188,49.045776818919485,47.19224168793821,44.27306508068521,43.68457647664497,39.283394295373604,39.25625810821848,34.62519093660531,36.06549820424703,30.397646716304283,31.70469386772768,36.0519075204272,37.36062005890148,40.31824592630681,42.14592503775561,45.22306840784674,48.60098438397784,49.73853782725567,51.4539958782617,54.535341759251835,57.77142489088788,57.48780412696758,59.589284323397116,62.62545054745949,60.29274423647224,56.79669207454162,55.966732676759015,53.38481499515541,54.92689733447939,54.07404793643074,52.920284714853,51.646467333850445,48.63563959765138,52.752727337527006,55.07391469966122,56.16467956890368,57.60401769040814,53.35417792710566,58.901273265728186,62.26686911597823,61.710693147806396,65.1327492851535,63.929582036858065,68.16180294296376,65.11709362906001,65.9235581895142,64.52339240729845,62.715520348216415,64.47557522481084,62.344126310803595,62.180065792623786,62.26606090850039,57.662877302559814,57.57015122799425,54.72374297783834,51.43184642202312,52.72832004860401,49.05290412326985,47.08561202391146,49.09885729929933,48.749467972405775,44.147882671522645,44.91683681369699,46.70463975251372,44.13150127703015,40.45632488401746,42.29241560695708,42.2945367297821,37.87615724154478,38.080327034038845,41.20117005938698,43.77475787821756,45.13145619557516,50.42300836050946,49.69477414087314,50.24580714323512,55.47940742776622,57.426381465730636,59.460601553991324,58.14538828083512,58.90679985067431,60.73446814808677,58.47535244118386,63.43264322924216,63.29562292634632,58.50464809139072,61.063324973258375,65.55976893522553,62.59252064703835,60.685511334938106,64.28252884632059,65.70057306869384,61.72753966941474,61.02291668818107,56.692233327907005,56.818595255851704,58.55893916194372,55.60902757278486,55.56153653304916,55.23647836909896,52.58272394450437,51.682695438655394,50.81880423057004,48.58849926694564,45.984053748421154,46.17654058657937,44.30578380243766,41.16639405726726,41.268562542672356,44.32735371508131,41.44832455226233,37.74189262919006,41.76348718863829,44.5569994808896,46.567566555985955,49.49982678426171,50.11074205754236,54.395337905377815,52.72286920668832,49.58396813059381,53.945135199155246,55.84258038323687,53.29375050561458,53.97875943108311,59.36870361307378,58.58137577124401,55.00456711554949,58.1786142883081,62.25509380027179,60.63072390866212,57.797937042901204,53.58649737552357,57.67398213135336,54.11357089571433,52.18857409900399,48.10318040579119,46.89539244100645,42.25674635501028,44.460501179298035,47.129060048648114,50.95506397250409,51.50359778462562,50.877582467656374,47.252211424732394,49.27932026928228,45.328782785891406,42.049847453771505,42.606287433694895,42.174215502803975,38.95822214451291,38.720647078016505,38.16973817517122,35.44132475724739,33.68878181724623,33.878312547044935,33.688846346167665,30.651235317405217,29.109832005930816,27.60819885907838,28.808963415769682],[28.711915417810694,31.179354714849385,34.587099875587484,33.152199287758535,37.09804652653358,30.872980491661643,31.923841939179205,31.40432488758577,28.08370086630864,30.696599603088696,29.23950142676787,29.333982228335433,34.125678210158284,32.088928921453714,33.48326503818013,36.173290769906274,38.40320691609856,41.23894128985218,44.74132168854474,47.60237951511968,50.71977992004434,55.07807097640453,55.74659063360261,56.67643366865881,54.51153770931083,50.143896034845916,48.738983067880575,44.716062623002145,43.054729510610926,41.08348570407753,39.7642519881735,39.726825959421426,39.9848206871595,44.0863796389907,44.72808500002207,45.23374903121491,45.22502623073978,48.56679030173005,50.17618322797548,56.027128415915534,54.59038845212928,53.1091500708576,57.229798410791716,58.59679022399442,60.39184510519075,60.378898505007946,64.03793541424766,63.02353666156451,60.10866622172362,64.25007831655239,65.21103237587234,65.75281815255927,65.35380459345552,60.438905416412595,62.64504868740399,65.9613727861603,62.56869117365527,59.384809522654415,63.51707255081209,65.50601875185639,60.23553432008016,59.11828791258821,55.642158056227125,57.43859511182188,57.3999807814897,53.68754678359646,49.62839866578441,45.77587870199604,43.729023711220556,39.40943335704233,39.41545682750524,39.567979595375256,40.617316004118926,45.386628683821655,44.40154620230494,49.509355429177454,50.68839897880921,51.56107521235131,52.67685746847668,55.77365346839504,54.1244385206818,56.082508881553146,53.53672204549295,56.09832010337045,54.39997908772028,51.11739914189405,51.87184179632137,50.10735917740795,49.42131718811393,48.7718241675417,45.9914005440593,46.40206836889355,42.343883621895046,39.714486769556615,36.57643243226131,33.97015692899117,31.653666564609434,34.522491281542024,32.93829519968569,32.30625027880661,37.91501759108017,38.77544601326998,42.82401967455189,42.95740727787935,48.75084719563013,45.433817915241285,48.25350277840206,49.51664459830557,46.02937704452485,43.62685588523166,40.153208188106056,40.74361145382462,36.45058294847263,39.06774566824073,37.112252599762144,39.46044930359994,40.94971612574863,43.528920515803904,44.6741222190313,40.925689888805444,38.936209770952374,36.34502793251721,37.78874161089073,36.35963002836383,34.38688988729475,39.07373203134215,37.15538601419387,41.524366529629454,44.052512579406866,47.39233777664409,49.434816253540866,52.69087840896209,54.39677929501279,52.85489428661337,51.28729109632285,47.16523001682692,47.535740117170526,45.85656851211262,44.54845604956688,45.83536885417533,47.99082585790394,51.41046205472776,48.491139141928564,46.67575121985826,48.692120080281704,45.08693968581639,43.20084741111614,40.47817067788299,40.098978288353145,35.74967840102791,36.108062684274294,31.57312983449125,33.55826756305584,28.142441120893213,29.16583657481614,33.35054996449697,34.23919764009811,37.30490939026695,38.83330923453868,41.956023705727446,45.00871723392466,46.03005117215605,47.516068875797046,50.69858896422082,53.88995045369454,53.426053499484375,55.70548579967177,58.64963528919239,56.41263980735798,52.82035168602479,52.120646000952874,49.4701184824161,51.16871772409257,50.457546375776026,49.40269988685635,48.375252717223894,45.28258600541849,49.66493310281999,51.71143174755522,52.93404542203534,54.10335311455412,50.04513487833909,55.60222415218448,58.929868990311604,58.18089566622718,61.575854074136636,60.28513892561444,64.44853631558915,61.199398477920994,62.07143078320595,60.684081355080345,59.03711213137119,60.84381477588823,58.76848537095586,58.72783087969538,58.922874819710934,54.30574257904529,54.46026501104863,51.71081098036024,48.508821565818636,50.124775357489256,46.56576572095659,44.30988729455308,46.407398991318004,46.424929134742314,41.713016577412574,42.1374795436553,44.323968680318536,42.15531863082552,38.07721538913876,39.96708995920378,40.37219547581631,35.90767691665585,35.75558565171804,39.19384742436931,41.49948526109507,43.40987610200993,48.175958570046156,47.525156846181964,48.43058157446913,53.702096153116855,55.99646050315259,57.8883351940596,56.61882629292551,57.14283274025949,58.99032864017339,56.54775850739147,61.461093138800145,61.30547501510136,56.24162510565605,58.760094402052594,63.22927944830865,60.12261748720133,58.065324224974184,61.58292938727817,62.96488636400939,58.93236629054167,57.98835587987786,53.869534555663286,54.07122639755562,56.042677789467454,53.37052305284634,53.461512626093366,53.51884642905883,50.661670649102696,49.492710144297654,49.064210302972086,46.97703615156289,43.9846641026448,44.22810229629005,42.79138029543808,39.625962057773954,39.449168440616575,42.910055957608904,40.31113422101087,36.352104779836544,40.33820771277998,43.41674620871703,45.111842221137856,48.06293213496397,48.3984075555363,52.74158637594831,51.15836015001618,47.61074394713865,51.910166823365124,53.89064946523195,51.23309732980937,51.584283306133855,57.15224238713668,56.3724791058297,52.50223558521884,55.54625946907351,59.81476812969276,58.16126615913204,55.136940846105006,50.80616685303275,54.94997156790801,51.26144739191949,49.67550332773246,45.31976699511795,44.20165346579829,39.437825195342405,41.41974797553868,44.02369561305005,47.84118098862828,48.31864350020089,47.93426115632244,44.07788127578724,46.16224002458333,41.99544124196617,39.0309199975338,39.87556128155219,39.80426669338779,36.520303142876486,35.88194074697299,35.67297112292899,33.24766048797002,30.912534781410546,31.057219896004064,31.484603449001067,28.691453381523417,27.021226698370313,25.596677815117964,26.840061723483288],[28.25352335155544,30.433031255866606,33.210863771414964,32.14766365879442,35.27051854390618,28.644351910090545,29.319421784417262,28.004127125666663,24.886103265891478,27.64983419256201,25.850047976058423,25.19984051949243,30.45910310117733,29.071225269091443,29.84444086693713,32.2555708821307,35.065369954854454,37.849617396740314,41.831969587678564,44.25440142731629,47.566059240910064,51.73311976805323,52.72391006800976,53.94471014353694,51.582710336091104,47.364160465297196,45.710657221887125,41.65749602161283,39.52282912300637,37.104027981814625,35.68863396791299,35.18262427106837,35.14087099548783,39.36438205053551,40.166769586231325,41.10568842372466,40.872812400214116,44.750957790476434,46.59146245785165,52.23841406227222,51.29228073148468,49.73370093550144,53.681102628056884,55.35196602211754,57.4689340342533,57.699720829721684,61.309125644903894,59.91003521060448,57.075219405661024,61.143123297452476,61.752078778468096,62.12078002353794,61.52263873567486,56.693519127110704,58.465453879985596,61.95910270614885,58.8283554122631,55.32712874898634,59.313670370663615,61.66182335919163,56.49868550141154,55.187894468181824,51.55597557610484,53.74625179616296,53.84718320157797,49.96202808677049,46.30700673663101,42.25799048065012,40.78134236218594,36.30566821895647,36.7782327955088,37.15801261275553,37.57006728880479,42.327805309082414,40.75125802679796,45.60697297291708,46.67244637162938,47.16951005096129,48.279366444423566,51.45146973336104,49.59706752995203,51.76063314014342,48.993944324012325,51.7809953238223,50.420548812214975,46.962029079029506,47.7985218918154,45.58737615794924,45.24971972162706,44.16604558009179,41.705741287813275,42.16808728995053,38.072789009205664,35.18933937387798,32.26239501882703,29.6746296293225,27.64805261179141,29.809752835142287,28.19170281443799,27.060357586346722,32.94766832947244,33.82140771426184,38.05902774045968,38.39580881290367,44.377651841008856,41.414129669202715,44.22244893239151,45.885747853720005,42.70449012546457,39.92458439824484,36.852000645691916,37.379956767906435,33.27051566125139,36.190111616868194,34.22371116070297,37.00634043597193,38.301048531024875,41.353205079855805,42.31146393131605,38.1767945137261,36.61641294417213,33.95923804798118,35.92224640518017,34.28219830639053,32.13743679724946,36.74110949103478,34.53525347365726,38.74782697336532,41.13255441716907,44.01045229933299,46.592420323977294,49.519017694617496,51.29721795580375,49.29417911456522,48.269394259798965,44.290807723870756,45.25718527316713,43.610839173235995,42.58577888037018,43.487786225838406,46.11708175719419,49.263214321591676,46.021176263213256,44.066509255532814,45.674491165538335,41.78869354106312,40.114357270959665,37.00795740499775,36.45278004328586,32.10817945369797,32.160024258759776,27.37011508153795,28.82162672522739,23.263783648158796,24.07470436600041,28.401635630594903,29.701241008902688,32.84759652737295,34.52023348951753,37.90650516007532,41.438550228781146,42.32797076788508,44.44267749760315,47.27023643036318,50.787453476316365,50.9303161866395,53.013178386401655,56.27672001429092,54.15974492933712,50.654311694429126,49.62567458671877,46.836255116051035,47.981571566920664,46.882434540914616,45.49782605820728,44.10318206695942,40.96002191348758,44.99432746429506,47.427601259426574,48.59618558328108,50.268522322134515,46.160268628499146,51.78956036014631,55.20524605539114,54.52369555241594,57.81654112682003,56.468629052100084,60.826220466209115,57.883653824901174,58.8453904027253,57.60924103321852,55.795007045792744,57.75410735521098,55.795004712473705,55.796480285137704,56.172070903084695,51.72030897240934,51.72189938492449,49.25093106820675,45.684002457757266,47.4162884420928,43.56410461344347,41.546974154604214,44.16621886298572,43.968388766804935,39.269644545544516,40.43889109934157,42.54780747577429,39.93948364103305,36.389066647709306,38.721070534073334,39.032742877367674,34.44119841591924,34.95098167646508,38.65210426053015,40.87194843269231,42.576917138808255,47.53884638921827,46.34236963929594,47.14982202036957,52.20291704850919,54.72706178364737,56.25447786883724,54.42674131231532,54.70972015835873,56.2114502901104,53.494434738043616,58.42705025459213,58.70650763367904,53.673943118271985,55.837669388060554,60.568529160618645,57.790544599950486,55.523317464106185,58.85760740061853,60.74182436534259,56.91683488417573,55.560901982546916,51.50471604885633,51.02740925654103,52.90135029957743,50.24345393922277,49.89448933190896,49.850533743832074,46.74532687670392,46.01212667689466,45.720303117474465,43.21818123503504,40.3770916863732,41.16337633397994,39.58251113125315,36.37984960175882,36.747152968783894,40.26345501147134,37.600522879660765,33.973299392124076,38.34886571496996,41.324355760851184,43.09220639622935,45.642784789056414,45.668906784624035,50.08106356493663,49.01116947136003,45.52795541325508,49.49876912275536,51.88895969768978,49.50455620492501,49.60924259192783,55.14944176519834,54.91238475098961,51.104812980659716,53.784705345329556,58.22723057564531,57.03669013149658,54.08805117580979,49.93226029311807,54.44037180870418,51.05678110010458,49.41509883769148,45.01529152285013,43.31229211173699,38.54060434117105,41.065772698259046,43.31319133099571,47.17759719022215,47.192905885668445,46.36642582037679,42.221917329388226,43.774901379932196,39.606995643960516,36.71316681575219,36.77136500092905,36.65720034603589,32.93079548696972,32.92246754775549,33.140881015130596,30.248199356893803,27.821134227504928,29.00607292145168,29.358445387413735,26.08762913243046,24.200299318329158,22.42875251174986,23.313688923722548],[27.39006676432061,29.148331090255773,31.61865213649021,29.897202602535206,32.77974698340807,26.233059418135493,26.439323842175813,25.276151874831157,21.672671989211945,23.965321894163573,22.004290612323945,21.744024083912983,26.76628673243392,25.021603565408643,25.83144963678674,28.428795839066257,31.064177060934192,33.74379756164426,37.55991404959203,40.14233867877481,43.354212079227075,47.59735244874121,48.4750922139839,49.6487921269025,47.381377162007,43.12250110706582,41.62071136865859,37.61209242765698,35.57699141829699,33.4002168992441,31.83220607349452,31.73322586977356,31.838794896385227,35.93907914367035,36.664302188887504,37.341970823683006,37.37685956949578,40.95466357339824,42.783156435700505,48.55804358568372,47.398641863022924,45.70392697141029,49.70926538395508,51.32313311043315,53.32186180744402,53.56160800125891,57.172851081534816,55.87180646695687,53.11480610800974,57.262394500145874,57.912099774600954,58.41433565789665,57.81801848738262,52.95491308566701,54.8847267494918,58.215787963984575,54.93457946827391,51.56512080561531,55.60422976784408,57.756039845918195,52.517714632979136,51.26389603061934,47.708627191876054,49.710876132733084,49.75286364289484,45.95061864940203,42.11440561884485,38.13547902457183,36.46734878985644,32.0254235062658,32.38420140507596,32.744226429282946,33.29800635772391,38.06075858967599,36.682404960320135,41.69940763981967,42.780732294931255,43.510914212823955,44.62448075683065,47.77795854707187,46.13007863444731,48.26514868576259,45.77277356259876,48.534009389764144,46.976329511382055,43.4821698418989,44.106598955259095,42.14661782439554,41.490559876399395,40.653931719074585,37.965260520639305,38.44606511588932,34.353022373331186,31.618890931200202,28.528179641090308,25.93365063441356,23.722242213996967,26.413532313795713,24.973015718686646,24.57658691017369,30.046159538004414,31.39879066171265,35.219299585506775,35.878294619598314,41.79445989713241,38.906993530403135,42.045017027211166,43.619378574874375,40.53418890284043,37.735409885870915,34.500210185170744,34.53135373407516,30.233550646701904,32.8284060810094,30.495803813342196,33.16173319291462,34.27425021573825,37.252836149827445,38.015828935757945,33.94712345628975,32.34578296200864,29.803590773979067,31.892647693428014,30.470632724270935,28.62003928892074,33.428406192949154,31.784872223771924,35.88630574223327,38.518994387759,41.36028967798898,44.02672883349835,47.11298053723595,48.570596803403376,46.60795754240592,45.32269906439312,41.202584193327624,42.31349354980113,40.30495132217817,39.04142343061218,39.80701788672266,42.20125824439842,45.24018771661904,41.95980506204328,40.154765210041724,41.80510003700919,37.980384320992925,36.364380495517636,33.447262838463246,33.21013407559223,28.964124620525666,29.543280396832806,24.815377599350416,26.883044773822725,21.71593345623012,21.910436103090706,26.012893611248057,26.80432181483928,30.197652269526028,31.39985384322162,35.02536806953677,38.22293143000504,38.81766071538158,40.825258954997594,43.67186713511559,47.2696755173612,47.33118394570331,49.65062852755483,52.865001359882264,50.9375080970997,47.3075844032959,46.391761705693334,43.44611163863157,44.64751790074066,43.6240567628667,42.24838224811381,41.090780035371914,37.755140909883956,42.05004134093043,44.23857980389573,45.61614833741831,47.08748311894832,43.27652891188553,48.94765155311768,52.336400893554824,51.384109968743246,54.57759377763443,53.0403334164189,57.37775053080472,54.199510723954575,55.33279438507869,54.182757732079835,52.57194085393561,54.65996205523389,52.82498204716423,53.018378620134975,53.59359582972245,49.17945889559426,49.47757461797423,47.20916881874875,43.69228434153636,45.84776102705917,42.09990160127445,39.78843748570377,42.61069578982319,42.8170792423375,38.032320697743465,38.9124154601837,41.4690274839568,39.280776640232425,35.39891982044419,37.8368479298126,38.58690742055814,33.99376577292996,34.18898409361733,38.22334231646592,40.10516638924459,42.37155757804167,46.73196515628316,45.56188335104732,46.73875238544395,51.75979650338932,54.662836529440376,55.98445603239859,54.13738447993133,54.12242061020056,55.57569544888737,52.616841538664886,57.47521074574367,57.8157884413377,52.504900807545155,54.538286812606536,59.26763173024276,56.40133700063469,53.92522517286429,57.10862458205815,59.0412456634957,55.202520017488474,53.47271228082883,49.714161381654606,49.18164135542026,51.31206970624459,49.00806399419561,48.72316975204059,49.100133469579,45.71870735844687,44.779476472852636,45.03426083157113,42.62273952487644,39.39021400856941,40.35657793590533,39.25979557648807,36.06198138721237,36.21727666530976,40.14705889431401,37.80972014157146,34.02518150015372,38.356712679230796,41.578085536106194,43.004058382740396,45.4848198704896,45.1550066911868,49.60824401791368,48.729680694520454,44.83760981592102,48.64870250024934,51.18432813344421,48.73925453056671,48.42116499143132,54.12602924027466,53.98333514144131,49.87518533902559,52.32733167391818,56.99755832420581,55.84739200259997,52.704689263202475,48.46043547444652,53.05218796194172,49.578440445616316,48.337191769280864,43.65746584107491,41.9969288345152,37.12494997282443,39.429735666607904,41.521807170854764,45.351430162172925,45.20328771789784,44.61093874908327,40.140902565544245,41.64226675952374,37.19974244549261,34.78125994600088,35.0237795211165,35.36748141318769,31.477016133816736,31.10669204965767,31.88155673689088,29.30664711207876,26.120695044428853,27.49995845799233,28.615348305982327,25.61793445830331,23.563568931650657,21.849120810432378,22.601014289354236],[26.256464352128408,27.808291775682406,29.74741618076288,28.639048850775243,30.823230618930882,24.045914421357157,24.1316557404302,22.233446720210026,19.16287307242959,21.88840765399804,19.882759484666565,18.731608251512615,24.212085673604978,23.354260944488583,23.795817067196477,25.947443146342803,29.047038437717013,31.89284439404904,36.21675831237157,38.27707927412649,41.77629928894136,45.77776287665212,47.012674443768226,48.36139937963248,45.79791246468369,41.70834304180545,39.81330248151381,35.74747517623721,33.35409921416549,30.672485693820125,29.472613786990653,28.57995289120104,28.62129724088268,32.988656131780594,33.63679555394888,34.708996602535265,34.268211828109756,38.37959707575693,40.30005365815486,45.812518425447465,45.14210272912065,43.632860804780336,47.47605117970064,49.27703899622639,51.611229008025035,51.967402928726486,55.53454608309559,53.884786701677605,51.068912274846426,55.0606571348839,55.489971091058,55.74420835369785,55.079535825601624,50.287156269412606,51.8988430264157,55.49944406565337,52.51428712488569,48.89281260290277,52.857100130479914,55.37346621780286,50.31754800928196,49.06151620366207,45.409827520364665,47.90277086078478,47.910279967058884,43.864277916322415,40.57885632126331,36.39177317987949,35.33478486814771,30.84524916734345,31.686224649487936,32.48649422917436,32.4065228430039,37.06615217392248,35.03347849824535,39.89794972583362,40.6044166380085,41.033816897129576,41.93388707355442,45.01757133387995,42.98834260553414,45.142131246034594,42.28389608676167,45.13060821866022,43.898157951638524,40.37953534435498,41.311295012257325,38.95863407966189,38.86465200080411,37.785428054844175,35.54371510524191,36.33617167188662,32.18990439758752,29.100197733007036,26.051302267759464,23.737343725599825,21.624644371585955,23.278190778432794,21.499143294926718,20.306846921470164,26.178767390810727,27.143850951926087,31.32080266374052,31.848302578127033,37.88928932370695,35.17704961106441,38.14913114107929,40.02119704363627,37.13258467814617,34.086663597182365,31.239961229505425,31.462375248030174,27.461348995371253,30.47168338249145,28.45996823450649,31.534468431410737,32.68192495329048,36.06772599300033,36.98273518753323,32.601641842597594,31.373436902041583,28.64828315702983,30.96979870383174,29.175962875989956,26.972858121128027,31.4742820556127,29.29188629629968,33.26627460125605,35.63333895228119,38.125122665878564,41.132117508518775,43.882104582979274,45.537396418818986,43.241514513299144,42.486546471527774,38.58524291471878,40.069176655611315,38.32762327096555,37.481198891991816,38.03271581511017,40.99519696463932,43.90189682707743,40.456222813068614,38.39546816172714,39.70805191348116,35.66852577997881,34.1375846221007,30.81193868763962,30.200464478128502,25.92537412779761,25.967608752534016,21.06588116198747,22.50669461331005,17.144492131315186,17.452609080328582,21.738006555088067,23.049563611988752,26.31021065416161,27.914067132203527,31.499845871325125,35.21107444789223,35.96242557388168,38.4491459634488,41.034734299983306,44.75085739274735,45.31101930225188,47.29079976765725,50.75982438193819,48.80951490709466,45.35464006037579,44.11429462977197,41.191212096163085,41.94277306934805,40.613047056277885,39.041623599477404,37.51515221821644,34.32272773119526,38.26305915212965,40.79564177869203,41.978855964232196,43.853962766257524,39.82348570690872,45.49785711851978,48.948385885888875,48.22089645549421,51.41287326610783,50.00659253491046,54.456356723520784,51.673147651288154,52.70033960590987,51.58292761861131,49.71716991839702,51.81862485676481,49.99535411312147,50.10989014153212,50.7138987053632,46.43273093413397,46.48314248411426,44.36528567984799,40.5760328076884,42.664279772497146,38.69400365881825,36.67556639147872,39.81842562446977,39.74338884994582,35.04626553759287,36.60182469502463,38.936129665585014,36.336042589009644,33.015120753053615,35.751096085113595,36.3217901961383,31.717388794366133,32.52531710757882,36.62122622922778,38.46773940583909,40.41655802893826,44.99877788684119,43.38835197661084,44.39700548137246,49.19767491010317,52.19264831250255,53.25068798133774,50.99872120714724,50.85351841972274,52.05351227752183,48.961203066814555,53.824964016915196,54.463517868170406,49.27186613168901,51.06468547821216,55.9620330202044,53.37942081923591,50.82153940160989,53.89892348242048,56.182951990387664,52.532682531577606,50.63051163004967,46.8359714319476,45.812108364325795,47.778962964220064,45.40101585758936,44.79181098039394,45.010431584968124,41.53543559007261,40.944101012671084,41.183774268015775,38.48719273461993,35.448451457792295,36.76988929052399,35.50719575693904,32.31954670350069,32.91332566338261,36.779924765716025,34.40097655083719,30.946962818071196,35.510162105530654,38.58075607479918,40.077616667756885,42.23202212149515,41.72272889755865,46.18453924043827,45.668995403721325,41.93441924398221,45.48780804409942,48.286741273592156,46.08935230092255,45.679850681292926,51.27540067388496,51.53526195402086,47.59311252452937,49.79806906374043,54.50535549136665,53.722184496881546,50.72428664406423,46.69557004779559,51.51588768418344,48.36577399901414,46.969110830186274,42.399414823788426,40.254347842094255,35.48832983143532,38.29156641291157,40.09535807460666,43.92396595914858,43.446471159544785,42.40811725752605,37.87107085907618,38.94027359163508,34.659571357619775,32.151089099653824,31.6918811100038,31.873383807432752,27.72905110851785,27.96601946824605,28.928078725725907,25.952848131099888,22.933782111332995,25.124867487193324,25.974882945822163,22.631948923932367,20.4903170363312,18.571961883633193,19.001921547891165],[27.31908917157735,28.338520593362084,29.76036902711997,28.01072969646332,29.63967312454777,23.035833129369074,22.352562135665373,20.38297848177771,16.77234538216558,18.72673788847369,16.25068396385553,15.2875646661169,20.62628848888767,19.53342014068502,19.597211616355015,21.914318574285502,25.074264281374642,27.66006339065963,31.918676654335066,34.045711756016225,37.43598173929358,41.47705266976799,42.655141476504355,44.0731497088403,41.61799804134207,37.53646744420329,35.81405034313667,31.827175420460804,29.3524864011156,26.830737415220646,25.203413163135057,24.767884242713563,24.766904078159687,28.971056910152527,29.691168698667322,30.623693066306604,30.53595285705246,34.46849151543023,36.50392389649204,42.11264812274944,41.340782115939376,39.546818110386724,43.39352911393069,45.25758531203527,47.527502574924235,48.00609535792715,51.5491354292997,49.906570511684876,47.26337984271055,51.3444948305569,51.67937812360213,52.069836184821554,51.30134830744426,46.50943423797437,48.12984378251332,51.552689623774334,48.45591124866088,44.870767987169586,48.81975770113409,51.20884372267445,46.070679460336606,44.74212835123512,41.106943401981056,43.45540511005262,43.51474807100504,39.549241582358434,36.12405451798143,31.97244150264287,30.876172371116454,26.358139292131963,27.227439851244778,27.99272067210586,27.841479680491993,32.506809084198935,30.53695033839588,35.44846131754714,36.25179342313626,36.79671496818802,37.792068549068716,40.94356460453269,39.16691419545113,41.43210731826438,38.888519008062566,41.828858211266756,40.47742859223284,36.807170092988756,37.41870489399469,35.192898842120485,34.74606538692929,33.72651274035954,31.268643135370084,31.988274327695684,27.84341685686149,24.87895487491184,21.78308648078218,19.364592250786533,17.236095218088362,19.370798459409038,17.950629670418365,17.672824147013234,23.022226850099784,24.780746285535972,28.411326817546,29.545520992862997,35.547974176095416,33.126994805922,36.49810703125178,38.39753051641527,35.7723042072509,32.60296768394215,29.74467852059573,29.270828310980434,25.141565471183927,27.762629889179966,25.206917752744985,28.254225407120938,29.009716200296296,32.44499046488718,32.927898246696955,28.509343099776167,27.42578053133916,24.91014441187146,27.631522674293123,26.127914689431865,24.343282831320018,29.031570762636395,27.55516137781524,31.259397800752208,33.869956843171174,36.11904250510436,39.393606755079894,42.21039248072427,43.47336202704135,41.07946765472075,40.18540014476448,36.17592600293057,38.03469905748531,35.838658739494875,34.76026447752638,34.9821994437565,37.73349113612693,40.367012873390664,36.75627304754067,34.892097968608496,36.092373282293664,32.03622863346168,30.71023148302546,27.51993665009056,27.3207956412819,23.24758438619878,23.921212724041144,19.081321367319116,21.085046511706377,16.416622974570206,15.575748340691739,19.50530441483558,20.261202043524108,23.929393635509346,24.8674617603675,28.945208854776386,32.36940142271426,32.60497732584537,35.20898573061469,37.65539291219051,41.616249227014144,42.279055659645614,44.51310901323831,48.00130981023341,46.349605409372614,42.77743113357955,41.59506826872733,38.43211557942394,39.05213512682074,37.6760625010178,35.97070004437605,34.61395410849759,31.10729009481463,35.230992186990115,37.61140781926735,39.07517488543462,40.89869800597938,37.28340169876157,43.01600718359801,46.45155146439398,45.38050374319006,48.3856136508412,46.681575860179244,51.1786814512131,48.1845191169982,49.496235700952724,48.561152883292166,46.924455831877125,49.2418111103095,47.6317175960703,48.007281764667695,48.91227767913938,44.75717474640474,45.12236380119345,43.343757664510775,39.551389387568605,42.13876175940273,38.255966781513266,35.998732722030475,39.46887840956648,39.787309974273235,35.0795114174573,36.46658078841538,39.230128715855486,37.01816616833727,33.535692507771856,36.41285343684035,37.398278452652754,32.86883515243192,33.45618152649637,37.83879291461931,39.3061968577091,41.74208757593664,45.700730224327145,44.044858106488476,45.3923093530044,50.065337147883206,53.44051804219541,54.22175562266826,51.85720803402973,51.35996012385247,52.41432271257746,49.027604923495545,53.773846622852616,54.58386472583173,49.15207877166855,50.69397847654289,55.619720913567136,53.04505866567139,50.22497891566822,53.05887767047299,55.511244705557864,51.92222561231218,49.5061346619218,46.10474092961009,44.83741641056668,47.05163245663203,45.09761065873618,44.431779060135206,45.07368444181248,41.25754636744959,40.58913192908558,41.463376817491934,38.77553401941577,35.411887661131026,37.071942294934516,36.30074178659845,33.17709854683141,33.6841204413511,37.901697250370766,35.87286407041082,32.4257868585024,36.92223113109555,40.14776583191562,41.30830993350761,43.27487352951192,42.341509010356695,46.80365595360303,46.60450672496367,42.52171226962668,45.78700747624025,48.798050858791036,46.62128431207558,45.720247033429885,51.425599198349914,51.89494578890249,47.689889370242206,49.550455536774656,54.49651479466089,53.85344458218763,50.69264632135372,46.644231270656825,51.56632667407831,48.40252686408408,47.43058187111761,42.619581363862075,40.45240491574493,35.660158008573696,38.26880272150996,39.81127369294514,43.557425371253466,42.813781550746214,41.957664212785396,37.0439833582359,37.89554085060152,33.34359015796983,31.480341756280918,31.011994230245346,31.71357550064595,27.328711326351087,27.3385622368968,29.055810574785745,26.396093242903103,22.568543593597028,25.223687699366582,26.86027617191365,23.824963720642614,21.554437660054173,19.69882173553028,19.766530118946207],[26.744234141956458,27.755246590571904,28.94103793642211,27.801863475393112,29.084437313653822,22.36133362891801,21.80003176528074,19.306942081716723,16.33378781379158,18.794882121014446,16.477788748989134,14.715650150169989,20.39452755530768,20.091943280348364,19.976077330151043,21.848755991028074,25.31353111239792,28.070510992179713,32.673824653687,34.387063339351094,37.991804949447996,41.825207311364885,43.26550958475924,44.77497684104896,42.0958974031212,38.156319412866935,36.115622186684206,32.093921727813175,29.4002251447851,26.466462183365767,25.26435734415648,24.070375152663942,24.030136262003936,28.470932700232247,29.106567519289733,30.376530156648503,29.823441725068168,34.19271936785172,36.25262133011411,41.619759355469924,41.23099214240496,39.66240984593975,43.37459801927199,45.3442018684845,47.856523729022285,48.37616075842734,51.88381758583519,50.005054620093084,47.27946284757182,51.209413928937515,51.41731346278265,51.59666010537446,50.8109880692587,46.0842453033216,47.467856282465995,51.12928990012894,48.28125335757767,44.51610109887497,48.40729363393737,51.08408023711165,46.11456311545973,44.81253664938792,41.11878061777648,43.847664157429136,43.8664080121046,39.722938978837334,36.755915709751044,32.47602296238674,31.84284083739601,27.3600438901663,28.552884513256704,29.626059495464926,29.054606514372004,33.586109764531486,31.147670290639937,35.894644703816546,36.39055607118538,36.679255558017324,37.48475358562221,40.55409711136509,38.42914732559902,40.669839713461116,37.77046262738473,40.74266678931703,39.66747144419294,36.03272058424744,36.961943143884945,34.413241086955644,34.49187963854795,33.27920443504573,31.234019261486726,32.20327226283656,28.053186650928154,24.80648075111427,21.790897055464246,19.670402163788165,17.67381598393266,18.754360784623493,16.952482102351563,15.720522714102247,21.561896289360057,22.79507108036374,26.859677896917173,27.73243224905057,33.83792812668207,31.478376998128404,34.61273646644123,36.723531220015865,34.182487308296835,30.872775373095177,28.323074119387705,28.177816580019837,24.34218346457223,27.35656383081326,25.22202132788435,28.54073071149597,29.428909216840548,33.101857180218346,33.81833313967838,29.237444519321688,28.390861150349597,25.718925237333266,28.442724737436276,26.612153305928615,24.479889591089957,28.832514382922223,26.785012578340023,30.437339839121016,32.77238344404958,34.81968955846029,38.256214156670694,40.80493378014176,42.312159054769964,39.71171274613739,39.24045191294567,35.43528998078637,37.44444088849688,35.57787282956095,34.866500707352834,35.03311333287248,38.22213307944421,40.82893750418518,37.176514637270806,35.08712542841507,36.0717492141682,31.88987993904327,30.578052321541847,27.067882345604897,26.468636478920626,22.35073208516623,22.426264387905146,17.45724346013637,18.779595956215715,13.810702679024224,13.276835273094305,17.46464822836526,18.81292364448255,22.257907424709384,23.693952386270983,27.59723414231606,31.477563143652226,31.97179506534299,34.88214790665273,37.16580295236426,41.12610626358805,42.10731064858767,44.02222704091318,47.669190061328614,45.921839059344684,42.519961785288565,41.10024100149705,38.037206197089795,38.3701692874283,36.78981416540145,34.98170271286497,33.30378367246186,29.998807575984085,33.79375487062113,36.47302819205242,37.71320357735033,39.84441908596884,35.963090687737164,41.67035614214331,45.149098122672974,44.33072561508027,47.38585543790856,45.862126627701464,50.415452608744424,47.76780761233407,48.91866585046283,47.956196978197525,46.08168858787869,48.338949729100605,46.68365669807148,46.93247633706987,47.77155146516161,43.68628817223442,43.79160768583165,42.03281789922675,38.06458882826292,40.46304365522177,36.41550695690327,34.43997787855689,38.03223753811817,38.050188666636494,33.43379373071772,35.323753308983996,37.80384675025129,35.22339378920095,32.19528768372715,35.21191433209815,35.9613403809607,31.446890817097785,32.49034781420089,36.7955248902078,38.33019516493762,40.412308813728686,44.65809987325454,42.7352360051928,43.873817605088966,48.41322148893394,51.73392346692254,52.41209873931836,49.8147250855762,49.323214233091484,50.240210385486236,46.8463326470612,51.617729253027754,52.58395649542423,47.3121357447368,48.7509751030961,53.77427475518096,51.39792116549506,48.59941206300217,51.41926921787442,54.06094572946893,50.59064267195625,48.20382883346542,44.681977361803995,43.141016832803075,45.16987423962062,43.057241551159166,42.17773070938698,42.59774955888106,38.80685042335505,38.41174359056981,39.11245979492627,36.22565792189175,33.093571781191145,34.920516403095455,33.91421836046492,30.801459736103634,31.639442185648132,35.69806980534849,33.56895516189097,30.379683291758475,35.01179379587051,38.073115742485115,39.35958297166502,41.1410530613774,40.19584799639943,44.64670320342828,44.61404246031697,40.74778676373844,43.897563205546845,47.020671148628715,45.014444768827715,44.186039938516075,49.76751642922877,50.448363663778295,46.44082745599321,48.2211227973213,53.110096125963594,52.67363179766072,49.665330786936444,45.782489183207126,50.80225533467662,47.86669942955379,46.68108293706518,42.03550887302316,39.57318558176331,34.89512543745146,37.860606996661446,39.276556405910874,43.02081039190837,42.13881314319554,40.938159720430825,36.11036942037425,36.71461498364116,32.37792073930881,30.29480087953165,29.32329199347584,29.772428902124442,25.285237398011038,25.807506424080984,27.459645441783664,24.462166403615992,20.99514926630524,24.097177851532063,25.32964432186997,22.027404444297357,19.767495141499573,17.78881253685734,17.668761145023165],[30.27159572860156,31.262876482222065,32.21890558124436,31.346478427911542,32.21183627299937,25.55581208285669,24.760441236399387,21.79136458368685,19.14632364867224,21.305138659377747,18.650269242899885,16.291305957007612,22.030452876666985,22.181175726353903,21.161808123151157,22.761464446404688,26.74716889703042,29.08176907638298,33.850435312034826,35.24922122580204,38.7895123828797,42.439344940872544,44.03798750475148,45.839271224472526,43.20323139889514,39.45339587138057,37.449302917977,33.57280798245896,30.471222069291155,27.271178323878466,25.469282810057422,24.132897985315847,23.37101237292922,27.68182945727424,28.823474096785418,30.609008265270486,30.103238802320266,34.90889738589067,37.25499681803544,42.38088313301698,42.39631752214802,40.54908167484418,44.03164990893121,46.31117126831429,48.97977825238445,49.77132544996071,53.17022390771576,51.03880659209629,48.55661626277048,52.4311555811806,52.281399610768304,52.38865818466154,51.344146347042205,46.766334592193324,47.648988062498354,51.328105371789725,48.696408197294105,44.643601721825725,48.272117619007,51.218676251907986,46.322008638249734,44.637101155546304,40.78507467807455,43.68029646022569,44.047854508513026,39.93493007314992,37.19527439842082,32.90205799076295,32.72041872136442,28.192648624693767,29.681353324351612,30.570159904711907,29.52767953451373,33.97092862702748,31.19014578522357,35.39424842892188,36.14457192360473,35.93300853243449,37.00268732198946,40.2854186091664,38.18379014560606,40.802179956938005,37.85665015926902,41.13936350117713,40.41862287467741,36.55668446192279,37.32544933030925,34.30312758730222,34.50921729845337,32.59348475405724,30.792572374284646,31.41511942168162,27.36471396742023,24.043423332736342,21.693285622199465,19.33910176967807,18.203534485155043,18.559591257167046,17.190905210445198,15.439846687056404,21.419395107058975,22.98117978419422,27.067870692066084,28.39877104751359,34.58821804393528,32.743536617006995,35.80812741173114,38.27978071487262,36.08754274925515,32.52389793957651,30.44267779653432,30.194376689927672,26.66170628194807,29.70137303680437,27.46033659686381,30.927688946707388,31.45589010246552,35.324169740271465,35.57961435252608,30.86881860601778,30.42484524896092,27.981242030790217,31.101136502720674,29.37085821961004,27.37274352083129,31.55340970224211,29.494434279090004,32.87523177013475,35.04710956816695,36.63379182632837,40.44727330963912,42.6818210770497,44.195488667246124,41.23544850124794,41.22091003064642,37.596304015264586,40.02016376230393,38.14560904256138,37.5540148729718,37.39116650465353,40.67931091764735,42.95581014211517,39.09197486313626,37.079704968061186,37.68890147005164,33.373784843969815,32.3879497625123,28.727498571954044,28.132165457226275,24.264752167107737,24.126573384941324,19.16825205951982,19.668513657102814,14.856574351456086,13.805660532659209,17.926608167294255,19.751007435158254,23.256275739466414,24.627006822756773,28.868192963043192,33.05748330676285,33.21584951302562,36.66775125156343,38.53697798105958,42.794632781405944,44.23104448560972,46.05622603289632,49.86241306106529,48.284617564264124,44.96819505458803,43.38209314046587,40.23266404792586,40.10424298518515,38.201315722321816,36.05727669315942,34.0533768888401,30.63863147966199,33.945211484076665,37.03426638039657,38.292161805745025,40.931969222713654,37.185935859077745,42.867038055806006,46.36916868460991,45.5474621148941,48.4061616062865,46.73059281634383,51.43350589775736,48.99942125927889,50.33835021016038,49.575320895579566,47.65668527524026,50.05155264218047,48.551969798061805,48.862590505750745,49.84690614346581,45.95546158700205,45.950298827682644,44.412512316441216,40.26506424540285,42.64394716387526,38.45194777314894,36.75406142656809,40.58109987731736,40.37747684775882,35.90775686018339,38.25097635987871,40.536991069478425,37.64271073825807,35.09269282637456,38.22709253959074,38.78520016534366,34.31932577368017,35.72578530160486,39.951102169726305,41.523495202463245,43.310152420191756,47.759829599773596,45.60819370591123,46.56866218648158,50.93629050808231,54.20671448498351,54.75094983933446,51.85606143488836,51.30925784903088,51.98470856772359,48.503231636549124,53.23903983380258,54.49747002203989,49.389724673939476,50.577304904814234,55.723137405630254,53.620076066959065,50.7560688400392,53.42417983217833,56.36685368804038,53.0777839196224,50.49935386964267,47.05068249653417,45.052702582906356,46.933865488039984,44.80709279729683,43.55725401993042,43.76855060125246,39.88813076676981,39.95665430461625,40.619697614411486,37.39768248503376,34.60153983355092,36.794798710214835,35.545038723193244,32.49361577972241,33.79630596150135,37.63338207631439,35.385641052218496,32.58473083400305,37.3449781144378,40.174124820171635,41.61303017394855,43.12733569289184,42.108373801147806,46.512090167969326,46.760784988263445,43.135407224932734,46.06017790464001,49.353291149540574,47.556675016398174,46.704371706726,52.14350288321207,53.10243008547969,49.25541164036343,50.854259213782875,55.73115460324281,55.535642293421134,52.64077519533883,48.90893091537422,54.00687416149672,51.24568508519077,49.97655043543441,45.430508906167155,42.76376346069863,38.19355981554394,41.349908368243206,42.62528017808936,46.33028002561648,45.275181913750835,43.849398374235776,39.00260895825285,39.267602605728364,35.059588834504176,33.063603995433496,31.53748612945401,31.858990419630985,27.196167802869354,28.28820752619323,30.081009307471838,26.800372593246514,23.612140125834483,27.206958191481146,28.1592368553646,24.6390328413862,22.424622874093842,20.30249272411994,19.835568769462128],[31.126575685954098,32.26257030214496,33.64658279215806,32.12578052717779,33.56028685411306,26.931739290400593,26.12774544746097,23.77930648950637,20.37698750354697,22.09545909870404,19.267257658895353,17.832537167878783,23.278018431070674,22.449644221262233,21.660690031437905,23.844357189876312,27.47522430325279,29.598295652807515,33.92897317551169,35.881071833882515,39.136937316289035,43.07092321307113,44.319227252970144,46.016862984582566,43.68339419238625,39.73800658877484,38.15075611246749,34.302663565322405,31.47048252375794,28.771875698439544,26.38523016347296,26.02226179684738,25.272636807343932,29.28154237281073,30.58863590149477,31.9713489137311,32.06024053437357,36.34342440840911,38.66725631129637,44.117922725244675,43.64535337281427,41.49990641626713,45.16297585314731,47.31619546862844,49.6710123861846,50.40917853561394,53.85862745344181,52.0357708183969,49.65517330289265,53.730637032307364,53.748971759596834,54.12631230860599,53.10082969490712,48.42991542574846,49.606750967352546,52.98895222363593,50.035562031648425,46.19423767338351,49.890395226804166,52.47965971916272,47.34917693863314,45.5859267663584,41.78635665660095,44.16988984411505,44.64089978781464,40.76724131090549,37.399599324309875,33.27025979276592,32.47897946433299,27.874701669383647,28.934896837052694,29.341523180106016,28.856587054558574,33.50572536814837,31.351598213401786,35.72507089525716,36.96460981635077,37.04314889313284,38.41593281956106,41.84117617692886,40.19292851953832,42.86635972131849,40.34662437432464,43.600117847255504,42.53817220478479,38.6229027183485,38.99573982011639,36.35545723344956,35.88735750146631,34.15744182699776,31.80768774007041,32.01746175480755,27.971113717868317,25.023627502180354,22.619871091983814,19.789190216767754,18.55024379621865,20.274920053199356,19.35769121921937,18.71518265916302,24.215146424645116,26.35080555306908,30.000943887740902,31.582016681086834,37.69719713556982,35.70066310008279,39.02355729433641,41.231988685848734,38.857262552961785,35.468317287646606,32.95769687360264,32.420124054264946,28.485015545365833,31.126363688602606,28.408770762668123,31.555267756818523,31.958840580888673,35.5256960190629,35.49185600825693,30.983896231566895,30.221300811884685,27.962231979219865,31.052525061220454,29.700220357509753,28.064269893043463,32.680786059346076,31.200840389981582,34.73980271307172,37.24422588658,39.156106062595434,42.73419025024823,45.32090612217287,46.596695839910744,43.90785203659172,43.36505486967102,39.46942693273769,41.64480188228271,39.4092519039688,38.37260349102387,38.33185143561885,41.08276626773127,43.43200638040316,39.62775527543638,37.88683814227052,38.791970103966435,34.620859434971045,33.589060028605594,30.296895943826108,30.149042789549775,26.24912347183731,26.760165818228348,21.84091267243475,23.1685064197353,18.424895150422,17.25360711786006,21.239583134693905,22.410259203191657,26.192828249628302,27.054463993480606,31.4854321940868,35.1663481109476,35.063914389198445,38.12441675453126,40.23226421703527,44.48177512561156,45.49240327352744,47.70750746248772,51.31619646576295,49.811811887992256,46.27711402425944,44.98575584062342,41.728360347599725,41.99507855083731,40.35471326461968,38.349650216583974,36.72593131647789,33.06704179684266,36.79518971513554,39.53783084652654,41.057651045246395,43.321570771293224,39.83693356792312,45.57391375355682,49.040575217550746,47.93687709631027,50.764973281008366,48.881100736843955,53.52227902244395,50.64958022327336,52.17553166233054,51.422918175834255,49.777006681229174,52.22810065244986,50.74701699703941,51.18117526031214,52.202170012352376,48.1768964494689,48.451098349637256,46.80912502232161,42.864009237836115,45.40198358600422,41.37425033705592,39.34342523755307,42.97166435822072,43.07214420424313,38.44386164712167,40.190055248915186,42.7684829365198,40.241847285576405,37.11012930174821,40.05923827524378,40.831857475493855,36.28607196922896,37.166453374603066,41.45674978000676,43.04363925549006,45.18874104679157,49.43738127371753,47.636677893845714,48.79723126036281,53.395582637362224,56.660449380247115,57.409780270737805,54.83450243752095,54.360905359739576,55.25318639653958,51.830380064476756,56.58352936625085,57.603969163439125,52.31721706856423,53.69998927762842,58.73586235736073,56.362671515954055,53.512864592601936,56.26364154530474,58.93625462348682,55.46179180766858,52.93982102585158,49.54884056982915,47.94898765954515,50.03390782270159,48.010647525208775,47.04702609682163,47.45727083164051,43.594874506136044,43.31876315442944,44.07225164025664,41.08780307458618,38.03063350771553,39.94370007299032,38.87842057400297,35.76361257280074,36.66189089648633,40.666149520627904,38.44395353854002,35.26741313578873,39.917590604755205,42.948936260206764,44.3160880399039,46.13120156451579,45.22159716971595,49.66921763327748,49.625143454213195,45.77431888350469,48.93806136380887,52.0534935386145,50.01766817912451,49.178228552399645,54.78522017315128,55.421985869513655,51.35576523432922,53.14542768796853,58.06662255352046,57.565083820442844,54.492868653334085,50.52919296508509,55.49556273928853,52.421372449630766,51.33237149081724,46.60437011828115,44.31616591929733,39.57095774195709,42.325003117216035,43.83347614777447,47.57914956582072,46.75984470644382,45.73815541625371,40.8259686927068,41.46250732905898,36.99323067458681,35.1248114526026,34.239671977647994,34.78040462270033,30.241112400078762,30.72527727870327,32.45930881675829,29.495859090946013,25.95486265536203,28.940112563197488,30.24698735203888,26.932794024055497,24.678484574723484,22.634838713976368,22.48198450003118],[31.379857037504998,33.02349768515017,34.97229566254031,33.833673784218014,35.90046936902658,29.133438499474423,28.961291036214043,26.819044909771474,23.6431641500814,25.89695500052265,23.400390990657616,22.052341738496658,27.585446162374577,26.682336014099455,26.312733882932843,28.516580559486677,32.00707296850131,34.31060636530808,38.58166262386822,40.63213524035938,43.9042749941763,47.880716513605265,49.08363638142295,50.69905493025271,48.36271584305454,44.35105770484583,42.73098945860856,38.812621727554806,36.11527083207743,33.398582775880364,31.237342123551898,30.71141940716711,29.995278177377394,34.06103028604166,35.359575274636654,36.775592720882706,36.70566543644542,41.03016498275074,43.26003353867261,48.715277371629,48.21249723216798,46.221429581458196,49.927491863712795,52.00360486121494,54.331626823704696,54.95633943640385,58.443951672697224,56.69503440354713,54.19797855717195,58.251416192974055,58.384178598372245,58.71377461833643,57.769165061674514,53.081232311194235,54.299443276676264,57.762504020772106,54.8289059884935,50.99535757519781,54.70743333724719,57.32675784820522,52.20829737912802,50.46357848018198,46.65775162597261,49.02661646028349,49.50395639046375,45.6316675763288,42.21676720818552,38.10461354641847,37.176465296204334,32.580693653600505,33.48487902348084,33.77416214498661,33.52683408411351,38.21444447846791,36.19146444776202,40.538389404626464,41.83987847506322,41.86752206524466,43.252623739756174,46.66794107228992,44.91668461557094,47.5288878454275,44.83253351172795,48.016976886982825,46.98824588734012,43.17566975752187,43.72218889303733,41.045160190665285,40.720210216485846,38.956880102111846,36.670375948292815,36.814838422255264,32.7952174897702,29.849391539272833,27.484875925646683,24.656770904535552,23.37062327158014,25.011931372241204,23.865742616134114,22.663758640555688,28.5306804276136,30.108828444372882,34.15303645624681,35.27851190441417,41.42796659316772,39.15459735721006,42.18993927286228,44.33237419085791,41.689951123976016,38.43802545190891,35.84493583965281,35.83142296634009,31.894018403686665,34.773380807364354,32.376881520353415,35.4737325141688,36.181273751891084,39.63217907247557,39.88785796912641,35.45987480799767,34.47237077764658,32.073028224213466,34.82120849030796,33.32486292695558,31.429107634656592,36.02819990546263,34.0980873738417,37.91520101903689,40.29691642096488,42.49288207390669,45.79457177858713,48.40432615800612,49.970929959744886,47.41925112046495,46.87860047152013,43.00158583629965,44.79738506292112,42.85297555026297,41.88976255263945,42.16699855284252,44.95477920627402,47.56482957685313,43.909993651122114,42.07116053734669,43.15544141563194,39.0225488042478,37.79970437668633,34.473046796463215,34.084436209620385,29.986599532616616,30.121128230921222,25.13762915219196,26.15720483748733,20.84534032624194,20.591156550540042,24.86536636442328,26.377984159714604,29.8921096148169,31.213008586969792,35.28747943995771,39.11076616956271,39.382595691073185,42.25715345949284,44.54733843469828,48.598175926086085,49.41376169367617,51.51842254390527,55.06660347412004,53.32101305022159,49.82380250495507,48.55658533867718,45.47099075054555,45.94871095932676,44.40457099583793,42.53696904986474,40.84344657326773,37.38687943182626,41.0468119904496,43.86262303651952,45.20332790289781,47.44407204248643,43.65628232679151,49.36616851087778,52.84435873146755,51.96698812645512,54.95173003328805,53.26563321112448,57.86223915732568,55.06538567284649,56.40017680949197,55.49583311735385,53.7177938334653,55.999668830240566,54.33856906018034,54.57683581705765,55.34362936952428,51.17300405390087,51.234765004368434,49.26868986452452,45.37059235098549,47.497830033901,43.4269242735345,41.54167226939159,44.832184356256136,44.642258545825584,40.00058006156947,41.756950416580636,44.00938681379416,41.21215222897287,38.11484422439775,40.8766138431332,41.30964880600373,36.70306426503377,37.650991462674554,41.66308168548641,43.60244607466435,45.3648448660833,50.141527167755974,48.478350946876695,49.35995755597735,54.11914552727689,57.00363228339315,58.06477796417097,55.668227135953636,55.54778747908039,56.61583801736419,53.484260895927946,58.3457764065346,59.16352196007245,54.07187709574387,55.72253961558377,60.70954135463509,58.276226976458894,55.67008333909199,58.65768243408538,61.12028523524201,57.54810783443017,55.503257989891615,51.772344453634545,50.473327623813276,52.37694923177778,49.98838689050846,49.12225200841627,49.168229273287466,45.623907506793884,45.372370713410966,45.55597032077615,42.59599102050836,39.81044138449817,41.3681173115627,39.87384573345582,36.702141009865244,37.61541465203123,41.29643810195758,38.7471176917054,35.526726009877144,40.19029980899146,43.089073065925135,44.767878283752744,46.8130098445661,46.331158923258215,50.776353191498444,50.3754911005358,46.82359696521198,50.2982796499246,53.172302959687315,51.07018912994352,50.69368793457401,56.22733564895247,56.59407275708512,52.72769559610611,54.87846345206047,59.582789656359175,58.8756561872889,55.916065159286596,51.91693410894125,56.744831663981785,53.6022516381979,52.17005443928775,47.627536263726824,45.47130193075874,40.71914176744545,43.52542189429018,45.331993736295026,49.157530731472846,48.64380855420712,47.565736303517404,42.97674547451755,43.89491997994878,39.59721920994498,37.20229706649423,36.466438568654766,36.5928920287523,32.29314527116422,32.85342785710088,33.91629125023361,30.750046719878373,27.84897486020144,30.29173963652744,30.979174744481515,27.464743030139996,25.33560463806988,23.27072434271475,23.46314653040502],[31.08661862487183,32.57892176137413,34.68677395591777,32.68923420520406,35.08254409274754,28.56678921790832,28.183129794386236,26.703761272749254,22.83337173006732,24.477201928006675,21.94679501961298,21.562775321408306,26.568985951150793,24.75603556029652,24.76840136059618,27.447246979860573,30.40357348646484,32.56513091510951,36.32749587247346,38.90154814162473,41.90456313211626,46.13138502470001,46.97364518076483,48.38427485590427,46.31888277806429,42.138814506213826,40.90056199159496,37.04409600542012,34.73276511848905,32.59012888850911,30.16313614429483,30.516664287170045,30.093305271563732,33.90035097042368,35.09291475363996,35.945468936942326,36.39351191807915,40.0460539314064,42.151691591379524,47.91202808401583,46.85129495462085,44.68138283278611,48.57701583538397,50.4269740085223,52.40828839682277,52.91390935635787,56.44623461452504,55.053437357641215,52.61435868659305,56.84028577630827,57.21569476603275,57.82394257369629,56.97579397227042,52.1897788384122,53.83617730901059,56.986790607808985,53.70166167192447,50.197935038229346,54.047531134115104,56.21612326198171,50.9054350382514,49.27808407960881,45.62779709848584,47.48346056157895,47.87581461842729,44.23171913656092,40.26132672999674,36.353587563343524,34.78763770960223,30.26020648443259,30.700795139097227,30.685798289613636,31.057872137817665,35.83616666669545,34.47759904735609,39.14943323330998,40.6780426839344,41.187951176744626,42.6701557268468,46.07493941334542,44.73627885048077,47.238357513689756,45.0068145178764,48.0476147163583,46.58751363652922,42.814236883736896,43.0233451629047,40.89504292666681,39.92190191614057,38.647866887196464,35.83351094080702,35.84211101192671,31.845165109931365,29.280156795405325,26.644023759682586,23.66054962268933,22.032604038027813,24.909274696766435,24.056736450685925,24.037383811466384,29.271723034451416,31.388592496662277,34.87391963968493,36.22881327190025,42.216136488839034,39.78726271406794,43.17063074758869,44.97596975621374,42.21267290873787,39.169307397367966,36.134145566171625,35.66572665052203,31.373854369075957,33.72885985094848,30.88345583417494,33.58632640075857,34.17747869698424,37.259069623801274,37.322607018970075,33.1884200119979,31.871652683064173,29.671444085091892,32.29927710960414,31.21043582337909,29.759863527856464,34.69491637380584,33.52637698239905,37.367506095179984,40.11195290440934,42.58578823332299,45.64316934669447,48.63723066899285,49.842295458126806,47.613974127705774,46.454744933496116,42.31486971706839,43.89096197496981,41.52312469104592,40.100268431050516,40.46699866075919,42.677406330883834,45.336616872605994,41.8062158325983,40.24623455203177,41.64154818419899,37.73259784433749,36.45059645457657,33.571544856949,33.66406147228195,29.63801631793842,30.532091162446438,25.736959298909834,27.740133426786365,22.835349090331707,22.17970743799541,26.1532330706962,26.85951832246255,30.610799715985348,31.330532351443484,35.52893658995246,38.705751592295584,38.71468294355316,41.09309674665455,43.63370283518905,47.60351004098827,47.94927803197205,50.45916327612404,53.7651272288379,52.14592641452468,48.43988702850939,47.501378505872054,44.312908462907195,45.20644875798862,43.98103765530472,42.31493729723582,41.10409398195219,37.44017619255454,41.61445514079699,43.935119569171164,45.55244419585916,47.27696844754805,43.833044095394804,49.56449948045165,52.97169451295857,51.75395050668018,54.69811468117432,52.817549215691635,57.29019187690518,54.01809468561248,55.512634982756296,54.61557483834668,53.16470401658874,55.501308930053405,53.894399451794456,54.3071006155402,55.16631027373118,50.91025368189358,51.3622791183822,49.40085311569239,45.762061045099905,48.219861279807176,44.40576103296168,42.081539546759615,45.24386736885436,45.553365050990905,40.78396123425047,41.81702881756202,44.538622611238786,42.35923454664583,38.599964796710346,41.202901304077926,42.07257194406643,37.482357570550455,37.76051187543079,41.94047951996937,43.66855248970883,46.05292447247813,50.23523985391885,48.92781231677267,50.19644613184143,55.10308751178579,58.183395282080426,59.30926166222146,57.23610721432333,57.014079698469544,58.267210785262336,55.083612934702,59.891469286155655,60.48972627954832,55.103391354183564,56.87317063918953,61.71387219215337,58.979650389277786,56.30388646309417,59.28349880765448,61.48006733531565,57.74617825452882,55.60135838877762,52.09390335280141,51.17373004114707,53.38717082415672,51.29733534974912,50.76913941154247,51.25443294201559,47.60860080794266,46.88638197007897,47.45944028418798,44.82855116826133,41.58269648583092,42.94757952561369,41.94191627542733,38.76093793698081,39.14634792701434,43.179151255784724,40.90315744029008,37.287239026053484,41.73096008502939,44.93250811656063,46.30438500542435,48.570640336812346,47.986514989657714,52.45565138447985,51.88345459032115,47.91290930127175,51.48818152235005,54.24490928024586,51.90099009219322,51.30733964774985,57.039255841262886,57.1458841995567,52.947824796345785,55.13756933736601,59.96191464145484,58.99429096098182,55.794290912445916,51.57856966962341,56.279956631101555,52.8431796453664,51.80086851294076,47.00332242862489,45.23767417362708,40.35538440064367,42.64486049331615,44.54876834075667,48.33937721133652,47.963190247884725,47.37979793787751,42.63756581060713,43.85859521085237,39.26359795329368,37.24845682055494,37.195827956108225,37.76094946061772,33.56783905782482,33.3826002297233,34.66476237037345,32.035105160170126,28.494094837773762,30.44686230107464,31.840209263899084,28.780342811055075,26.60282163442952,24.746908996717732,25.10800790163458],[36.23543495729086,38.034446119396726,40.510701840710844,38.49875086556623,41.2476272945016,34.78356457934206,34.535984706330275,33.169779076979296,29.25938803855695,30.733025488630723,28.107049588040162,27.82349682870019,32.712982047317816,30.664356298920776,30.417674185212803,33.197327704606955,36.164304288419224,37.94261151067024,41.402964930627526,44.15612894761306,46.856855473594564,51.128757088684125,51.77629544209286,53.26361914803186,51.498495244317,47.33398427238521,46.43406870684159,42.718987064432206,40.40246576421222,38.416280515750316,35.367405754171834,36.14436966377798,35.279192243050325,38.75572564623362,40.38764535976941,41.33339366967263,42.12258904642075,45.71597825413262,47.944486494252985,53.72204818858736,52.59307170099855,50.097679568850566,53.94176195465407,55.87035231910458,57.69218046960721,58.300238439947165,61.778528380831936,60.488823988646246,58.27075785255865,62.56520792470935,62.86285601938645,63.59994808155857,62.615797185340966,57.89088328955016,59.39542675389023,62.355089201562166,59.01636916016311,55.49053877246569,59.17266176720862,61.26319511807409,55.87671165202386,53.91966945553899,50.233314280486574,51.771262739288076,52.516565545911995,49.13525607161853,44.88717204811619,41.183838121022475,39.4586719046984,34.980972653558275,35.22183215389037,34.615471526390444,35.18922488621496,39.92939797722845,38.914499884830164,43.17530005884075,45.28738700587477,45.608422847523336,47.502962613850755,51.12940043769308,50.10030031433983,52.86603277573241,50.82318089719581,54.0158067990271,52.59273405353349,48.69226844234573,48.5992874930686,46.39928692943781,45.128817754400266,43.48130507859216,40.52840880042899,39.934413777709175,36.14032431367071,33.868276368256765,31.751454809661464,28.430971339883797,27.351563867273022,30.39660688221295,29.941773343712423,29.910451009166056,35.121860786167645,37.48910871652555,40.92537940207686,42.50710006838923,48.53088918668555,46.21415636947773,49.57767733277166,51.430490140962256,48.65394463704015,45.60986682713558,42.58565745637062,42.12730787070571,37.811229240674635,40.055595667064935,37.0382426249164,39.583407963175674,39.984084594595146,42.890357704376775,42.556430226758174,38.598342119933456,37.26471549192953,35.3359725111619,37.990676630895464,37.16772593775342,35.92555890889011,40.942318513352866,39.90447665103567,43.77751965455705,46.55156207599945,49.05469906300418,52.0799605417742,55.10096062322858,56.294370841867625,54.06763404184565,52.87521819104536,48.699822805676824,50.20448902795659,47.74563963804152,46.153579732109975,46.52945930547489,48.427128274756114,51.00340462723269,47.48050376958663,46.137442183240886,47.54753424529503,43.697942894594654,42.529700408088395,39.78496338906659,40.02623836873714,36.06017134877216,36.98910342973445,32.1718963069716,33.97227876198483,28.92033043728642,28.29705776735534,32.314324523232514,33.13230683918528,36.948405043650645,37.56451155944158,41.917100117448946,45.05734729166876,44.856881268338455,47.247314580925675,49.73349051819701,53.78920519446577,54.05912529271869,56.71454696880901,59.94699443918608,58.387995257055934,54.62186304784934,53.78996459639884,50.566745245856985,51.507120563143765,50.28382214740626,48.54887874500689,47.32831033458259,43.5436944180304,47.610257583989466,50.01684233319314,51.72900970200226,53.541592755084295,50.21869684390582,55.95428692095527,59.35904315706654,58.05532387832039,60.91229934197518,58.87664239694597,63.37414778709834,59.984522321536154,61.64892469576786,60.829664143330035,59.47983223528698,61.86401666860597,60.29474747574821,60.73998229299848,61.597024704309945,57.31738779907425,57.775709359476636,55.735741284067714,52.13545029980703,54.478589975950904,50.65358567810336,48.37678209882652,51.39718394263758,51.60959337285576,46.84102729205467,47.7961569282825,50.40121099543323,48.124971271399296,44.349915358792906,46.79508349338456,47.497493218086376,42.89882045186027,43.104581001331645,47.07536359891553,49.00889225486913,51.220073209581855,55.64903848057904,54.51666292739166,55.64824508689995,60.663727124094244,63.48452878232109,64.8313797498744,62.883154151268634,62.861412223391,64.18961197167108,61.138702372539484,65.99072862453966,66.51923533731126,61.22611432366902,63.094583676730956,67.91844455037608,65.15415572343404,62.571303095792075,65.62236552011932,67.73005346086663,63.94360883591695,61.9532005437703,58.36762573783044,57.55438362238912,59.71251765406952,57.498271389004195,56.95548379454043,57.24769827528592,53.708360960317535,53.087426558384784,53.412675288110194,50.7224817317139,47.664002823163344,48.92370913694887,47.665456756323174,44.46530311450858,44.91110762907633,48.729036815228504,46.2378748133891,42.641096402317004,47.07288427643285,50.16334152826298,51.74452145369722,54.1416840149645,53.80131839523146,58.25910185287375,57.494460033151135,53.702584701626286,57.437138891996966,60.056294981500045,57.66290471534601,57.30465846800739,63.004202549229724,62.93061722017195,58.80829855737479,61.18932347173307,65.90915708661998,64.78068719430573,61.602486477206455,57.32636688599099,61.88021726843108,58.31682396022072,57.17384428853088,52.45216639239607,50.90077772047966,46.00979559031666,48.15307358615602,50.26448888830381,54.06775155161771,53.90255015317206,53.419559482016716,48.80433198431065,50.174780608077086,45.596187559042136,43.471424030154736,43.50920107369147,43.92671221405406,39.80170124921899,39.67186418340132,40.695976706619525,37.98402826874995,34.720943501604374,36.39816917457237,37.51396311261631,34.37152113341675,32.27289621948066,30.38375431046035,30.8092929773573],[32.4566013494565,34.46565837087959,37.37548173573851,35.3114722851728,38.68570067194895,32.38237119149452,32.632754156142404,31.84034860104168,27.961520141027005,29.787316894345455,27.69412584502232,27.87135237248005,32.58868303468208,30.259593289910615,30.934823709520483,33.82096475888595,36.27289477506783,38.52943055242981,41.854566438986744,44.83093685816151,47.65439518249238,52.05153605992504,52.59526388350151,53.74557528289612,51.870843931499806,47.54803327992131,46.524257168084695,42.67342650123311,40.79092680059486,38.98285334208358,36.70323973747891,37.33611829243459,37.116489193894765,40.84275545663995,41.94763263161929,42.50620075757719,43.06229837274404,46.335826349614436,48.230619033925606,54.1501014686055,52.69487914520315,50.62770159414134,54.67055306215537,56.25673968045581,57.95627022527151,58.2276895955087,61.809950274550665,60.76602096071901,58.23134377412115,62.515748879836345,63.2071327496147,63.94101192086403,63.2659132357132,58.41393344720943,60.39315041080656,63.43098074569085,59.950473867693255,56.69119484138242,60.641698816859865,62.54152970851644,57.146596084199814,55.641096039720495,52.106483985691995,53.61130825455858,53.94000572133221,50.4644432708482,46.132463729157564,42.41693216458726,40.32711412683301,35.94937588862976,35.9228830072259,35.59758499852998,36.617198842633314,41.398707494163446,40.609701761060954,45.40436060350294,47.11207145543049,47.86143843543449,49.395055371368656,52.7585351499763,51.549982048822905,53.89263968848242,51.74749520809393,54.601593653684155,52.908872994836926,49.30633131083948,49.51805000849684,47.69542474648384,46.511788467547156,45.51060795928906,42.4814026327221,42.35924491570593,38.43572908655736,36.09096311481911,33.36632790788412,30.36346018874942,28.546168284952163,31.863355836962594,30.922599951279633,30.923622511659758,36.19219122922454,38.008087889472684,41.58973106507175,42.56529453890507,48.459218955334485,45.62481346247335,48.86516280710331,50.35277529148056,47.21216458778564,44.50760519537749,41.132252786247385,40.999405347870265,36.56509943255572,38.825313726800864,36.1489333811132,38.4843860654857,39.36361211877517,42.00013220411631,42.31025768457613,38.544122506660706,36.783161762382676,34.59566647901921,36.64245154365899,35.66796712677363,34.22871248171187,39.221440284272894,38.02881833196431,42.14352847466895,44.93266668872476,47.906429192721866,50.421765534389735,53.67875923297558,54.98794226864017,53.16968723471632,51.60577834307708,47.35984554367251,48.287023811500156,46.03572192531007,44.41944035995038,45.24358837160322,47.07550957050177,50.06740765457775,46.86431648778731,45.3851776134706,47.18491866050034,43.513854657556735,41.98341456453092,39.37993120465066,39.479502799039736,35.339353381570916,36.24080776923555,31.573513821851282,33.76139444291651,28.602615434637723,28.617336578237396,32.67521202861472,33.30284991097373,36.861240521025614,37.73204214136245,41.56502892829081,44.47746658676975,44.767169916278384,46.582552892441804,49.48149341570284,53.11437490573132,52.892943856802866,55.51208423123069,58.539205469150204,56.70984831268776,52.94777358091395,52.28141453493377,49.27977250766559,50.70433769946775,49.81682641427169,48.45857114679037,47.47497276673779,43.94110249057753,48.331018977844074,50.42002766481788,51.99157337837802,53.3451580503095,49.77938898176081,55.45600508182898,58.81087901364297,57.652606924452726,60.75275379333724,59.000567203051794,63.30999854805524,59.82733417741185,61.173652975661675,60.0907710563603,58.70854124920289,60.849334086582665,59.063312241750275,59.34655012087501,59.938648011254614,55.471311119104556,55.924329608423946,53.57178333825841,50.22174869592646,52.36504367737738,48.72933487052011,46.31173210913562,48.903772102742295,49.200889339925,44.40284139467505,44.898625772838166,47.491715806424956,45.46460351284747,41.33652246054523,43.507354044162014,44.241322684808935,39.69729279186884,39.533251465462165,43.35475705537272,45.36099185001421,47.66891384075678,52.02554384157059,51.21043061852393,52.38547711510965,57.558161991802024,60.23628454785555,61.828317330370204,60.268946192644975,60.43764762465692,62.049211948622066,59.232019357194204,64.10132537962106,64.2635792452613,58.960205643565,61.14990466030027,65.77840015409545,62.762391728591474,60.37805869102832,63.632102798325995,65.33829422392625,61.38838478016502,59.81482132097632,56.06630553694702,55.816822661131106,58.001162658415225,55.683760821004064,55.52519448788955,55.86477341798123,52.57468643265019,51.558351012731585,51.693500495201405,49.3607479148373,46.164705307990545,46.93646685988402,45.76493531232735,42.564399870233046,42.579390621898604,46.382283182729616,43.937538478921354,40.051760311202074,44.2398660059149,47.43669430179798,48.9565781841232,51.65752383157197,51.55791691498535,55.9849542676178,54.823410987913114,50.98181748648138,54.98990031741491,57.30748130682017,54.719400533111425,54.58088123679249,60.299255669253185,59.84240433772477,55.7080091630434,58.38258044691162,62.95832172158139,61.51874015653103,58.32084533190196,53.94563784348854,58.289401076573974,54.572046670514034,53.380670807938564,48.719229147074856,47.47787126792765,42.59137831447462,44.49433562075796,46.84396570800707,50.644699967559966,50.796844863434515,50.52062904846854,46.16981522783887,47.94939952692675,43.44174105115183,41.07231294673783,41.675317048379846,42.02748822513568,38.275706985803325,37.692085127314776,38.27257347458831,35.841845381364934,32.74494653782953,33.636915788281335,34.710022875257664,31.845070512358383,29.886083172560785,28.240564291889925,29.060019715950023],[36.15770820027347,38.02674023753112,40.90987718575536,38.354516177542855,41.72824436249845,35.64786544929815,35.60246831013598,35.00668503369979,30.804337800278034,32.041125561124694,29.760308638422085,30.31338068955563,34.66021471424933,31.887628511851236,32.35509698176383,35.44017545530782,37.71303153585685,39.54407401090888,42.432765660276644,45.680714900172376,48.149099688544176,52.626957280164945,52.90052492558111,54.047614177399154,52.512581412690885,48.19164281375403,47.58686196232333,43.925567122428035,42.15506272547749,40.70535082297086,37.84137936041266,39.15109401152396,38.74139757501131,42.084933010605084,43.42948251519837,43.811816693101136,44.8579477253467,47.78715885533378,49.743671704319404,55.75340421209561,54.053181485059845,51.63107777693881,55.66700948436425,57.24016911670222,58.68674556612107,59.03091739322984,62.55896101378185,61.70615830022432,59.41804536804907,63.81318787429786,64.48871312559791,65.44089666776347,64.67562860833108,59.85891672186996,61.88071666033609,64.61191720085371,60.959283485902105,57.832077591767664,61.69341140502635,63.333773191311096,57.832260505761255,56.150755941216595,52.685168830224335,53.75039164308573,54.28151391007475,51.10954821760278,46.411881774362854,42.95579717130821,40.56437846986244,36.307990010940365,36.00054332019062,35.17269803390305,36.50927899661215,41.221490367000825,40.91636210443842,45.5285264114815,47.68067575195939,48.51561280439943,50.345985494819345,53.83332197535672,53.04945560994273,55.541357443651926,53.79053772812406,56.711835488624985,54.87729800374425,51.17650579566183,50.97368768875337,49.34327552308965,47.65585333375436,46.62127121599359,43.29616331466701,42.743979791227545,39.00727510007251,37.04489163478227,34.5821009724503,31.35685823989172,29.817655440548428,33.67994882909382,33.19951065564287,33.78921036849949,38.64597119500955,41.018941771014944,44.19412597912846,45.5920998597401,51.41570123398576,48.74562269446572,52.21639335104188,53.654432720492466,50.60588970311888,47.90807315281607,44.448336523510925,43.9173203935045,39.37375173205298,41.2424803004031,38.15499478599854,40.22757602816344,40.776223617349295,43.164775509932504,42.97293712156451,39.4631189613545,37.6727380561135,35.852484699813765,38.00334590646108,37.462319507543974,36.48049205122923,41.61977176823196,41.01881470775282,45.00246616624865,47.985763509784775,50.92213451574799,53.459866749000845,56.8463640524143,57.87078267034987,56.10559529433637,54.30332120694108,49.94865283639564,50.9321416991454,48.325829316143064,46.38857290731214,47.09086611289839,48.43792100452596,51.24182003899014,48.047218219733736,46.89170313734149,48.72860800257985,45.19860466044246,43.82449282182526,41.52115348888423,42.005214195734766,38.05357463900835,39.395037940210834,34.82421719678306,37.29574913548208,32.39310837966098,31.948671763874277,35.81230942468661,36.11424290858545,39.87911268542952,40.2768997032356,44.38551202484291,46.96296947482781,46.838265228597756,48.54740366795038,51.39997403883369,55.13456033179632,54.774330803017975,57.69404051389919,60.593629287712915,58.98448738324736,55.098545379717855,54.6223513308522,51.488404937461745,52.99064054366063,52.18164931908653,50.79362430812557,50.01470505773494,46.25715342637655,50.762142691769775,52.685628652486045,54.495543488263294,55.72606920095774,52.52601055308679,58.20331184464167,61.513573169461615,60.06545664441062,63.00378022950482,60.98386158034815,65.27078317399985,61.49871906425734,63.113471365654206,62.1666447746586,61.048961782551316,63.319306841922376,61.67459097851561,62.141664347350094,62.89330301739201,58.4655368662554,59.168987850016585,56.9381363788745,53.68488341079595,56.06899265694054,52.53440637117352,49.938047016202454,52.56545475955733,53.10994489396232,48.28448226334622,48.49392684029524,51.3295400709642,49.57424213207108,45.22266187228185,47.33832720481482,48.28092009137937,43.77450517035684,43.32569885176377,47.20612133836753,49.07895908089108,51.67599213228219,55.70351268159188,55.050173521304444,56.408943830511355,61.60736994522114,64.3805277367569,65.9708384154514,64.50128018202734,64.5810143713347,66.20789381762606,63.307604549782745,68.13151818109353,68.28357621478025,62.847382648213205,64.99886177553371,69.58947862887143,66.48688955200672,64.01561680333941,67.18694070308894,68.84859445377528,64.86449865544446,63.113354399065585,59.573915994999254,59.36727651213252,61.709120171849435,59.59548770402596,59.48297235708469,60.01748857838422,56.600567782099986,55.496016760220584,55.87941535338775,53.58632266171155,50.23821331096427,51.070381153347135,50.09449527929606,46.90169424904636,46.8054839747645,50.74289315315864,48.40306378296131,44.441639686938565,48.56127255507186,51.84564235678562,53.24656821498425,55.97552989193088,55.7771374999732,60.20752617402112,59.057209225776944,55.0458195216898,59.02299644762072,61.33989161481048,58.67852018294442,58.37840457710812,64.17336215589704,63.65447205573042,59.35697209669998,61.97572259175543,66.63117974959178,65.10461502955829,61.783426822042124,57.321036167631455,61.58464969773267,57.72108866367785,56.79335358849649,52.00680932363669,50.9781205670978,46.06312243527496,47.65222239663005,50.00318319410092,53.742570448932995,53.92195573829074,53.91938394065148,49.44503777869354,51.27481529392594,46.60525963900586,44.56739483020398,45.366259636652345,45.9627599869881,42.163895751026295,41.36244817309506,42.18386028449918,39.95230870546863,36.53201014421484,37.3871424590039,38.8048569056474,36.10793903392445,34.11161925396969,32.49453888747472,33.23164698307306],[33.239815085680874,35.2638957587147,38.47460473614421,35.91948202776752,39.77202695458104,33.88834669825674,34.25431221313025,34.103442879210235,30.01438678565269,31.53790385788251,29.71408547069607,30.56222799092367,34.75304255289495,31.84887819243505,33.01443857043022,36.11774281148731,38.005160154527985,40.22011449078717,43.02989272940181,46.3923921069181,48.97722711430935,53.51698047527071,53.74021641545028,54.622022861520755,52.97526689183887,48.55875695044819,47.82011431540634,44.0625500718034,42.62323094870079,41.28010612254173,39.06553100583265,40.18121062800255,40.25219328661957,43.799615591647814,44.73274638675795,44.85379567464196,45.66742294710912,48.379184868429576,50.066903144713315,56.14259557439444,54.22759374686985,52.18147219151142,56.34903478772684,57.656132491732414,59.02961739905238,59.105927351721284,62.70588428727418,62.02560041522362,59.478266515930244,63.83405016608693,64.81188627337455,65.73612429557784,65.21854851745323,60.318030448049335,62.68645135927392,65.50090176410784,61.77347722055646,58.843971524338734,62.90267459320827,64.42398311751569,58.94807718600737,57.6310555063193,54.28253574212691,55.376377436240624,55.56808504847119,52.30377790063309,47.61344336992661,44.13928140805916,41.53013236448963,37.37286563842522,36.90189227963258,36.35718934653442,37.968744975813024,42.68157337162294,42.481742193921775,47.47509687275215,49.26637620726073,50.39619930394968,51.91980280943068,55.18578676913915,54.22337886814181,56.37530609518044,54.513528442381144,57.16193998125169,55.14820591780693,51.70063617522386,51.77025594932211,50.40417324303455,48.84806975133991,48.290671412083114,44.96532377024255,44.810702034410184,40.97740407620375,38.923418717433016,36.02276811325946,33.07827546318874,31.01055826532876,34.95083205128022,34.084948485027226,34.62563097426407,39.5224610930311,41.42602970349887,44.72246323568666,45.626802353977205,51.32209620189745,48.2659877307709,51.601347452402806,52.75455623546309,49.439215482996744,47.02256810778771,43.32834753765628,43.081024833217995,38.50078547171627,40.389022581398024,37.62997072408527,39.53663536117838,40.481038654815414,42.65918436142114,43.02200667791295,39.66506660519146,37.56408938256151,35.53048112737777,37.166345774744535,36.47972464274518,35.32374439539036,40.37684774511777,39.62378669414565,43.76693768737437,46.72393021597636,50.00759132542689,52.13001356622314,55.67178893073499,56.80187754743584,55.35867085221438,53.29793273543311,48.924094104668534,49.44017969664692,47.04142190229739,45.12075185847563,46.18511167990142,47.508622813661994,50.64103179538687,47.718905868152156,46.43636993788884,48.55995472578392,45.17858967816652,43.52367579296878,41.32290508644078,41.66186650256715,37.60464075236698,38.8764033351682,34.46729542755902,37.169001083739175,32.23809508366178,32.28390293553039,36.14453460145895,36.336906573719304,39.8567814248532,40.48010820141393,44.143603824618225,46.55612589957865,46.842132885937396,48.10877491072386,51.2641654790765,54.64246610550816,53.91226675623784,56.76309489735339,59.496377630474996,57.66400240084036,53.81039465906917,53.454471327213874,50.52422644467237,52.3892411000308,51.836742532879065,50.746086271054175,50.13034913775277,46.60451823885363,51.30854380267131,53.00437198920312,54.676943753111594,55.56639866900498,52.16697902178844,57.76822074462066,61.02844416349151,59.72412278884769,62.85014996190554,61.08052183558941,65.20773031127008,61.40746386104837,62.74481003273121,61.585455093529305,60.42253218795089,62.48272481294311,60.665160226305396,60.98884587682614,61.51684236412825,56.96210748671518,57.639800047307865,55.16599373732211,52.12435013057067,54.32078113275682,50.95200441856841,48.274826920466744,50.54141399135264,51.13618922588178,46.326116783828176,46.17856344783898,48.971757645914096,47.41785949630994,42.83085495456073,44.705314983449114,45.65877692980682,41.238048897440116,40.49688645771237,44.21615466534022,46.13898185511059,48.788871232015076,52.742462725928945,52.34562691072841,53.72379242402923,59.01897804313703,61.66056300892909,63.43830516270031,62.28099952194559,62.51578724361747,64.35718772963833,61.65880056910531,66.47726474153146,66.34244070540097,60.93022469083733,63.326569917810154,67.74748545909836,64.46403619150041,62.16635889202752,65.4896472998738,66.8313162031691,62.73489841107572,61.3348538306415,57.66975174830322,57.90567057913684,60.244507597870154,58.04821365078613,58.23111940393912,58.78622838951751,55.58706048498905,54.19209324949231,54.41093132679387,52.40510570502223,48.98545450736222,49.43040365826074,48.519371034452455,45.3534563018168,44.92817225305631,48.81409697709235,46.526002579044764,42.37852282220046,46.268148445836985,49.606665487864255,50.95293815101208,53.90202353542168,53.89906594032471,58.27823580801722,56.82079236433313,52.80283108687788,56.97443796239068,59.039027972006615,56.24036155248761,56.12644636767111,61.90295527656283,61.082097788182246,56.80480135233188,59.650244124947704,64.16354485310434,62.39791206207731,59.08149312263298,54.5640663857398,58.636985225467996,54.670408005915284,53.69660098966767,48.991302910739726,48.21860997795534,43.34502218362597,44.731822631301085,47.26597080483493,50.98267041072154,51.42155873487335,51.57423516594953,47.350037738638484,49.49255055594203,44.92444143952605,42.69273459606202,43.919321251019724,44.44552135374094,40.97728182989831,39.8441441811206,40.29516823958672,38.30414308539713,35.07505459892599,35.29449651115449,36.64979521492015,34.21102872179943,32.36623297793512,30.969781548535025,31.9944556288768],[32.02977274157946,34.362975033146945,37.98711794669929,35.71190422974103,40.06271903366172,34.348527012963935,35.23567570470438,35.38100459334817,31.581558643640083,33.509441786196305,32.09121293309783,32.9875800984325,37.159291641869245,34.32090141316972,35.96557065845183,39.000511980821415,40.68068935973225,43.21394455523854,46.03026936909484,49.40441000545922,52.107693680531504,56.656919116640786,56.883763607953725,57.58587960805345,55.825654370871376,51.363550658934116,50.4680561096279,46.629329770144885,45.39660662504066,44.03581911027238,42.34666058413143,43.16515807282737,43.517081836789096,47.254936411955846,47.93151931364514,47.967929456929724,48.51029927470025,51.1776702786683,52.66860654882142,58.73878772722467,56.7447331074997,55.03438042521656,59.271463611767636,60.39930117006743,61.75631424217251,61.62548502000297,65.26945227042746,64.68883149072255,61.92317346337707,66.2100226464039,67.40671443081524,68.2609552397949,67.93263184906434,62.98480717631102,65.55200288726202,68.48593093955422,64.76048857177494,61.92792281237646,66.10868482214387,67.61530217845306,62.188025482355215,61.10945517969349,57.81641817085809,58.99672218592783,58.97344524494032,55.616591573087995,51.00472942985289,47.4958711219531,44.81606098622527,40.7256188870555,40.19331128558675,39.860487659957975,41.5923790448641,46.29109399667231,46.085492549649445,51.27217177309872,52.81082795321678,54.05542602989261,55.36655284674387,58.484011933052706,57.31664009571327,59.23182958029377,57.18607980834462,59.640333302827216,57.56758680879717,54.325096489578975,54.67605119823044,53.4070025026677,52.06622608880542,51.74982078592742,48.5106141423042,48.61885086060862,44.71820303475717,42.54212224986364,39.4047006364201,36.653354002371834,34.29867383134085,38.079877053051604,36.87530943130068,37.115880397591695,42.19131842659171,43.57637612604464,47.113557205895226,47.52691164118214,53.14041174803263,49.75773564725534,52.85342854943065,53.80754020920027,50.242826941304116,48.07153296322341,44.25788616303829,44.430303256300974,39.906629058418524,41.932315186543065,39.58486128461566,41.407058756909954,42.726332296573496,44.76713883389421,45.62950294150503,42.369616761808466,40.06739263247997,37.832321410969165,39.01627680535077,38.124801049797654,36.71241886992357,41.58975490396238,40.49220457107271,44.795935114064605,47.6262529404168,51.20176862486766,52.94232499666992,56.544611875655036,57.88424281522729,56.691867812733165,54.524209362217384,50.199399740890186,50.26978451064585,48.19387299403096,46.388358287807606,47.79603623684186,49.18839955316919,52.613129696208624,49.928968722843905,48.4930742961752,50.81593815624519,47.53028440672339,45.64244850287202,43.448926637608174,43.551547380254725,39.38360278191474,40.39897551616758,36.10289725099604,38.75374370903666,33.68939689401316,34.306239637752924,38.234975852355795,38.52920249317359,41.77064958638488,42.737560153869985,45.96909289918417,48.377896178215195,49.09257660671342,50.05830176146186,53.435217402512045,56.498829004950636,55.50403312845598,58.202085635185455,60.810819585893746,58.723936705003084,54.954882238934346,54.65677067644984,51.96155675633247,54.09233484029979,53.71417168387287,52.852085487530445,52.27207076365589,48.99696420771836,53.747915274180464,55.36440948866954,56.852065023958,57.55406587147971,53.8899745144363,59.40771494435951,62.635102849796404,61.548116063929356,64.85806678454001,63.35545333296585,67.36174786111312,63.63225123637474,64.68601799336471,63.325938466052406,62.052030909422626,63.88836371541848,61.88310104870578,62.01246402296954,62.27338596908009,57.605043448062766,58.143805545312695,55.38597614553863,52.51726895882279,54.37781195372593,51.1236825311569,48.50020189879912,50.35990400759985,50.83731552737007,46.09437388430413,45.73652185909312,48.29918388492715,46.77028288775788,42.1189772016203,43.71043710427658,44.489068757349365,40.177794001917235,39.28147402538344,42.67857280679104,44.78601647910107,47.239120556723165,51.3592668010179,51.20650647484579,52.44268755777222,57.82804883254315,60.169704952699526,62.21365493041548,61.36375093518193,61.8660116267144,63.917464734501905,61.5059135426879,66.3372808892314,65.92206457073675,60.65868776538574,63.319188214139096,67.58094141199813,64.17792062433341,62.125322806235026,65.6357797991299,66.66991342416634,62.48709204402271,61.55249060308026,57.66732781592432,58.31132460773724,60.541201690661175,58.138509997239545,58.55096641189068,58.954745529864596,56.05975316404657,54.50387598797533,54.36389405720309,52.57836654550029,49.26424328491227,49.30022847914649,48.259732976756126,45.1339132170501,44.498565321842456,48.15028020129993,45.79059459393755,41.56179079368793,45.225300368834375,48.49343176022303,49.924812620243806,53.09676719772688,53.41992504055893,57.71946908708087,55.90380651798866,52.06457843907717,56.466308430773644,58.23117644381893,55.337197306550614,55.5714943880649,61.24734937213758,60.105993895679745,55.98329270104506,59.126687673860225,63.40265922457658,61.39729812114634,58.17355436441577,53.651947053167305,57.49130381882784,53.4702325618409,52.28708586457653,47.79669922775613,47.262270413571144,42.49144864823828,43.763774306206344,46.52873426477853,50.22326501241445,50.97271338801241,51.176000622286686,47.323714526069,49.755965536988,45.39841193734001,42.822642007513124,44.34344427330063,44.63236419420526,41.52464227613881,40.25152355478639,40.164997547064516,38.279583855841615,35.518182007088015,35.10725657728205,36.101900891816875,33.81989651442928,32.190713483600014,30.97969727156146,32.27582369077098],[30.512587358057772,32.559731796081074,36.15458748248067,33.256002198326456,37.771317562536204,32.54415220774156,33.34116210650657,34.064263784130276,30.08220595546894,31.617850685625935,30.49584505073046,32.02176626924403,35.57715487916829,32.29354698380588,34.4297010095138,37.58124713143068,38.680357392411736,41.229340250194724,43.61212718773374,47.24313616322999,49.78823863550138,54.4064469129986,54.40259509460903,54.834410127365715,53.199048202488484,48.69323696551494,47.97262246212195,44.233435689812424,43.4332030236084,42.506287319178135,41.07025477374795,42.239995146988996,42.990441449532874,46.58452610770393,46.95497386951803,46.53452799739362,47.24084964205268,49.33698252680133,50.58852636616493,56.74308436378703,54.3516343559503,52.756976796516106,57.08375344174897,57.92726164900862,59.022717943656,58.69568638343467,62.340217519544,62.05687829022661,59.25426155972731,63.55574500545261,65.01961375723471,66.01522935750515,65.8653910182895,60.894967289547274,63.845250196492906,66.59179557834152,62.676028662391914,60.18203554132461,64.48125559756507,65.64426946437739,60.20683811124798,59.42035347905899,56.3456459196002,57.243673041793265,56.96870565828674,53.751909036502376,48.952689801622164,45.644272638195964,42.575829940895275,38.74497264708171,37.88096370701799,37.574739818578806,39.7391130506532,44.311025989942614,44.53006372006478,49.97823612462783,51.3705028077784,53.02754783519384,54.17904913682689,57.101929310858566,56.09989146019925,57.74501519378334,55.970116711491954,58.17011173543793,55.789101825797246,52.74855350766707,53.019476869656444,52.23318136406993,50.61999321944876,50.85264525633029,47.41019409326961,47.691055742889844,43.86163428593798,41.906015527298855,38.50070997672399,35.96793995147264,33.27161370755515,37.53296228471351,36.35148930892571,37.20190323784269,41.75589312624301,43.23455496365637,46.37630958630909,46.7455245860994,52.083728618463375,48.55522345580531,51.79424013720334,52.4229243661025,48.794647364283485,46.88198022071961,42.80846311419439,42.73040247048639,38.12140192637771,39.7259381498136,37.31485510952528,38.73665873500074,40.11359614089035,41.753892761108254,42.74896494583635,39.85908370276059,37.28787156548743,35.16705156394007,35.964217394672445,35.314883031089735,34.19556355889367,39.06337995527249,38.492102326733146,42.70896414293016,45.709654333595076,49.47617044877717,50.90749181004382,54.75081933745343,55.82824185590611,54.9670679054824,52.341699125353436,47.92726713361911,47.714928582742694,45.45363832078272,43.38974272144609,44.95086415981518,45.92527229514866,49.439206725536025,47.01600393628241,45.73271859928663,48.31173446202104,45.32083122624887,43.33160385669059,41.535541744710194,41.87901044708377,37.877714585120685,39.31783278946326,35.37112132776783,38.599094553838604,33.99468144216064,34.455734260711125,38.04713003014851,37.81457891814523,40.99006449892909,41.63712157380152,44.67889665643397,46.54294175013481,47.23091877538125,47.6790539323399,51.25410270528683,54.06193549710814,52.648319374043496,55.539136020319454,57.89061522919592,55.85846506357842,52.02392286157236,51.990258506833044,49.34801787049073,51.82953227249979,51.75869303073286,51.156506540172316,50.96001758585002,47.7263956932342,52.7685797995898,53.9464759143566,55.52760923578871,55.75371591498584,52.32203611569738,57.72540592120868,60.83553747777045,59.58598724077718,62.88051004456012,61.37208615028685,65.17547407518607,61.19555743314118,62.22442491514021,60.81406478069961,59.75930684423139,61.54029869650248,59.55437687230934,59.76827337679725,60.044685491092984,55.364438996459036,56.18250807864683,53.44832656583124,50.86126059914453,52.93467675953637,49.9645938664586,47.042709793069626,48.7380907208257,49.629628599287344,44.89287624001579,43.93719579679522,46.84562414097333,45.895582292422525,40.80919271548202,42.23925697218452,43.41582444727032,39.24510088294359,37.7981257132952,41.291689690148395,43.10385798988915,46.10392136070575,49.54631955143544,49.671320264372675,51.256625596331325,56.655036770246326,59.2091387181346,61.21601779313699,60.61816918496031,60.97762310117221,63.144374930070974,60.69894245803613,65.41867927452657,64.82970057139664,59.37305128121066,62.09251013241458,66.17604245898144,62.56090441134323,60.47641721742274,63.938313912330095,64.73156033687128,60.468724446550645,59.484408160803596,55.830787593187395,56.80008763731144,59.24395089026923,57.1251445731025,57.824467086417336,58.60381127216512,55.667246131568525,53.730404220292634,53.93408063608039,52.46162587981846,48.81381761719083,48.69515684956597,48.12049557479259,45.060308464772234,44.00153708926304,47.9053677126452,45.876996690503994,41.430244071185726,44.82171519643098,48.304357438842366,49.388476894534556,52.65114269191283,52.82441836114091,57.0775502263944,55.19309954139474,51.02270024116463,55.40230536041878,57.06668267928194,54.02177194193977,54.0258062333064,59.78712830677354,58.47208351901883,54.113100644853155,57.215702062022835,61.5463495259001,59.37128642835376,55.98237904036379,51.356358123908144,55.047881130923614,50.851771062898344,50.05387289606278,45.404582995474556,45.19773109988976,40.43898212355712,41.2331553792856,44.0008648313914,47.58446039604475,48.42988864245026,49.037535797467484,45.16254083097577,47.804144751309266,43.349235263884644,41.11788956514416,43.16730708999862,43.79198044487885,40.882369225984135,39.04946506898633,39.1215221220209,37.751709791885965,34.61284803896252,33.787033843847446,35.34663034173861,33.56347017938509,31.989882261212205,31.047823307632864,32.4260275604742],[27.543530919798915,29.798758781689628,33.75935017477878,31.108428050134947,36.12009001535641,31.26522140627249,32.623390177208094,33.76800146317384,30.19819683884017,32.12956938061692,31.567594703720104,33.185127595976546,36.55856763941359,33.414409939930735,36.14528106853691,39.14878765070437,39.927675798552826,42.87264313595187,45.26118684128491,48.83358231181906,51.541343817963494,56.11465070532659,56.15046637808981,56.34391430172534,54.52819011841778,50.01225943654794,49.05351512984751,45.246595181128626,44.73416900449774,43.816527264379964,43.133021623718456,43.91729446447168,45.08783482635015,48.884222456592504,48.855196499800016,48.281723066142895,48.628156190432954,50.59812848217798,51.56429902257814,57.652592141385206,55.17119971012446,54.05960829380543,58.44148556855838,59.03726130263701,60.128582763078846,59.53210746863117,63.21543493031496,63.038143768472054,59.951118526925306,64.12352304988758,65.86270367932649,66.75446418943542,66.86415573139394,61.86277453779753,65.07833794089575,67.96670241603746,64.07899702624573,61.74594220050216,66.19536147582905,67.32498228904201,62.000424222007105,61.58076864765239,58.615187462896884,59.6589784740498,59.04974194463151,55.70643036319663,51.09738663007277,47.75505216615602,44.66373766801944,40.97000528958106,40.08066281698906,40.153115205012995,42.381424953612594,46.87852312148852,47.031424828123,52.735026214200246,53.698693052421845,55.53519957679914,56.3436997495977,59.01212232465397,57.74413165401847,59.027833523067976,57.054789483784596,58.95479848852102,56.48834439817305,53.759931531074145,54.39777012531637,53.7925110835754,52.46880443536421,53.08991400058682,49.78937070041242,50.48732824935293,46.59265100393562,44.49576747492867,40.771045491825404,38.57168635446094,35.498092659700895,39.52544792862904,37.940135343110185,38.5498711090455,43.126161704116996,43.985742564614974,47.28724505608407,47.05814983146951,52.18406301042116,48.287471082221636,51.249345142523396,51.58043086957889,47.69888730780279,46.13395920810655,41.928828357327106,42.28872988611757,37.81178899290735,39.50569474193123,37.6462888768924,38.92913723152876,40.77000747471159,42.22937255867156,43.89727500238201,41.147100264996574,38.37250165104701,36.00632889664248,36.21213414698411,35.29506581880139,33.88301839810882,38.43578320855525,37.52324048512369,41.843530304642016,44.6807902983315,48.763418913022996,49.70175526147736,53.612880559947484,54.88094794616316,54.36008154438831,51.578553210170654,47.26112941312933,46.50949913822513,44.646041083581714,42.75102991334843,44.71393062432412,45.794361743509675,49.64052293025706,47.53884723250653,46.05497114074639,48.85405674705127,46.027000754801136,43.76327419189532,42.02452825669602,42.09603247026134,38.05363343904863,39.24138996871365,35.57527699005989,38.82781336480319,34.30527705886846,35.33839582030282,38.847803234772705,38.618715488316674,41.39955547646142,42.3852835904763,44.83380213597368,46.591746156241555,47.79895623548989,47.83273610026435,51.65362286675562,54.024849570461406,52.29300584250849,54.96900035040122,57.14888759841566,54.82890668789261,51.130004518962195,51.16924600241948,48.839550347964526,51.6340982065705,51.80163297138053,51.51391056469493,51.41435575740629,48.53171883229772,53.62545095781482,54.62543600516955,55.97694035179049,55.90843683697657,52.22037984002718,57.45747793573694,60.48743169886088,59.48888222258042,62.982009063925425,61.82115162482279,65.4333648740496,61.5636139771867,62.22080453578159,60.56717690563517,59.394397314774096,60.89091634449553,58.70313759344209,58.70263880614217,58.67864052597906,53.904096525640355,54.599811325760484,51.58473772678496,49.2552536701272,50.99695124043546,48.2388917828345,45.33614056392779,46.5517453948643,47.408911428822314,42.79190402779594,41.49427955354779,44.21503094545264,43.451631832053835,38.24091744457622,39.33157963875362,40.43283586660571,36.458536685424264,34.723499663337485,37.89533754707939,39.790679430998075,42.724570560653476,46.129846509214964,46.543668136223374,48.072039256161524,53.52337756152934,55.85256924337059,58.07726883222152,57.83745462246186,58.40952152868241,60.799609441241394,58.643642087680504,63.31898560589932,62.40940277689928,57.085759846092245,60.07019569490177,63.928743505378954,60.16817804373874,58.33957977060985,61.96617184174133,62.39603784043004,58.054180383629785,57.553711516511235,53.731085323706814,55.18596438723944,57.54040486394052,55.2889836433217,56.295604154745966,57.02128128174279,54.408969822330505,52.21359745514891,52.14450658227848,51.00724675925812,47.40153680986854,46.81864348058951,46.266777826316606,43.3052371871003,41.91058147219739,45.62137774226423,43.66308469294255,39.11580689423353,42.15370124698056,45.60854238090462,46.645824128648,50.12194335938745,50.56303810457496,54.692480850816565,52.45669635066065,48.395121363957955,52.960904243182824,54.29650748579299,51.141928731097046,51.43283690059374,57.07726927264323,55.423830155932436,51.190943016694625,54.560512204736085,58.64523946175838,56.22119409192643,52.91109385276363,48.29288453973291,51.72236400515076,47.476083969349126,46.534396523791344,42.092395751747176,42.17189837204287,37.56481232917376,38.16002730410568,41.13567176465544,44.65497148636438,45.81986123088763,46.52971726630152,43.079222465884044,46.03677810070964,41.850818217614005,39.333235641466196,41.785361353163495,42.23495675184377,39.80404200718675,37.70507045810214,37.245247039243864,36.15837819872791,33.46637473161798,31.876644644738132,33.19348482284615,31.770742158178496,30.48258758862602,29.863542615281954,31.525083434491812],[27.27581609336417,28.976185467023104,32.61429845453712,29.112747989110865,34.00861587224173,29.71299212874652,30.698266654495818,32.35037113902187,28.524703939455712,29.79920163112303,29.43444306676678,31.69211555578171,34.32457437333951,30.71305638183692,33.77209412822352,36.871211948347174,37.07122253896975,39.876935386183426,41.755219064787475,45.57067095738882,48.037549341491754,52.64937735806523,52.43013391297724,52.3927520439009,50.768030010317275,46.2523378596855,45.55508044978518,41.923867246965116,41.82124022963522,41.39905961601207,40.80329782243619,42.06197221831541,43.52983570335864,47.05448084930707,46.800892414577106,45.77827826543536,46.40259110760449,47.752618066008345,48.526432977163516,54.668286296886706,51.799815521550904,50.687533100884444,55.11378718051218,55.466728351075666,56.276027560420324,55.549400949640145,59.20420495561432,59.309307102626306,56.27740021984165,60.48590602281407,62.41575357957186,63.489645078037086,63.70973293431556,58.72475520612989,62.255400990452756,64.87989787860808,60.80647357083339,58.810853089229205,63.311384721799435,64.07324881782671,58.74796494107209,58.551957337880786,55.81825260410348,56.52294205989738,55.7291053961093,52.59607635096451,47.79647688326303,44.71833834521845,41.2649767031591,37.88412456322113,36.66346350470921,36.70404341010376,39.32821683595191,43.63121069922398,44.23697173557343,50.08532208437566,50.97350230249291,53.18552992516632,53.89794238014223,56.39657969815589,55.39526185997642,56.47764407885937,54.88489357852355,56.582897344323165,53.82281705901256,51.245905907903655,51.67829751190105,51.55621774031114,49.869565932307665,50.97568155731862,47.465018306367384,48.243142010318635,44.49707166249123,42.70223738567815,38.840797442846736,36.8484373602795,33.57699392011749,38.08361684662582,36.678737271494164,38.02441868132985,41.92127502585093,43.08187588366345,45.828972170031726,45.76644627929389,50.589405230828035,46.7160752688103,49.919444869291866,49.98912182123696,46.18591655356156,44.80152312987588,40.4086298734323,40.29167560842934,35.74499712654624,36.876944273911334,34.79197630854991,35.627463652454686,37.36752434859076,38.403166984859546,40.02263807990735,37.68678893369922,34.70926267797093,32.58063424506286,32.49426917186445,31.958615569798482,31.023384327672446,35.59075955524146,35.46249952509478,39.55944579502073,42.62455446929601,46.75279070690983,47.52052335578676,51.64633870281467,52.51847799429316,52.248968726246005,49.02606237523113,44.61074820482281,43.74929012242231,41.52977725036005,39.291050382790985,41.27154268502772,41.829079523706845,45.63780414846421,43.75066211745155,42.51473211389586,45.503804684717906,42.99209924274363,40.72895828668425,39.4547657120927,39.89395519434813,36.13701199442594,37.887269521183896,34.60750656625018,38.434664920295766,34.51347424265518,35.12861757891012,38.20139098793874,37.38235137528492,40.16943581472846,40.65341080791399,43.05152152100387,44.1934889462559,45.177352595861485,44.75925510314416,48.682484714973334,50.88961107744835,48.81047973298713,51.761212798595786,53.70027310865467,51.56792982923584,47.76757452340095,48.08301110671047,45.71774768610465,48.7751006814531,49.20668203137018,49.10730598449377,49.40955084596301,46.49042066542157,51.83046592320369,52.38815809696186,53.91052016706225,53.41022606877607,50.11661769789766,55.23456796910106,58.13766135601801,56.8745421669067,60.247455181932786,58.968199426594595,62.39665166472041,58.23372080405612,58.985493347706715,57.37405875655482,56.50133027814519,58.03364922591134,55.96139472650303,56.14418042094666,56.26437156795184,51.551325634757184,52.62222778862159,49.78921634857827,47.70089891397051,49.830216226308956,47.34433557623174,44.11408168762227,45.342883070805144,46.705712049562955,42.10528122638198,40.266190860591486,43.46609977940766,43.32547401691136,37.73879995566375,38.78801310157817,40.40550256729707,36.58102956247598,34.351746309998035,37.76120731484994,39.20170454120424,42.80933071962603,45.346602966046454,45.9314202738823,47.90200788550652,53.27565797187261,55.974692624239104,58.004094966425214,57.86954916460615,58.15030853933466,60.53930961129646,58.21576830459609,62.742775522702196,61.79655315756367,56.217387271141355,59.116820422101,62.84820599764043,58.934627068478385,56.956491063713415,60.41980724164224,60.739636850144024,56.37418259584399,55.58553502078512,52.146998568976436,53.747194877774,56.37279713562306,54.54068211601792,55.73118918573315,56.91848482053256,54.13165524360617,51.63249648698049,52.10179255492157,51.187531661990214,47.21487475881381,46.67880372654491,46.68162718219866,43.798463058259316,42.08897520773111,46.141458535330266,44.579459465733876,39.90962250645883,42.747660113677746,46.42170504722733,47.04432106861959,50.465298721698865,50.57766316078466,54.669299557735556,52.56274428775953,48.089680629577465,52.47742532512036,53.85162124307361,50.606934253099425,50.464111149478356,56.21837818041927,54.555055698369436,50.00825359784843,53.158757943793184,57.40751059038904,54.934697073526095,51.40834360324158,46.7003590159822,50.06782303661244,45.67438254875872,45.29308046036223,40.585098197729614,40.909228956649066,36.307609357741335,36.40017314724937,39.22915183479402,42.608090737737264,43.71398204534806,44.85418845167422,41.212006853368614,44.24015318670552,39.87391819115584,37.94215474129411,40.809077190601144,41.733543502665995,39.36956887077959,36.76074328740251,36.74925772074809,36.180799647401926,32.89874375614008,31.190140225646964,33.291341554006145,32.345461372815464,31.026663178034443,30.606010874011076,32.17649169193121],[25.51096094963499,27.451593038564592,31.47254733716637,28.34351062293075,33.71480669047086,29.82379800700598,31.383282169117113,33.348410669759474,29.998451207707063,31.68235117144604,31.77598663590608,33.97575340135253,36.52502982264461,33.14985246491929,36.603354977888856,39.53084681029222,39.53953009260262,42.65811672517274,44.5780698346383,48.283695079805824,50.88838649622735,55.42730568451883,55.26259396909018,55.0452512804719,53.264820487578504,48.777843770286815,47.8600385054298,44.1882645886951,44.28847631564636,43.817186333133925,43.824463927591914,44.69674654479769,46.4395444922709,50.139390982811804,49.606273708398085,48.52953041733528,48.81620978126375,50.12602248871473,50.66974211744555,56.7057721601613,53.81783752235449,53.12914811829101,57.56735429139016,57.728200938032195,58.551709507208216,57.60239005534864,61.26948754118114,61.44855133756112,58.18281404932099,62.24832718746084,64.39575063483635,65.35700537049959,65.79443569825166,60.806346700495936,64.51355421320032,67.27378660563451,63.26252315021093,61.378170488782146,65.98014739153321,66.75018561232945,61.54224524263087,61.621902035774156,58.960962556894934,59.81610798072198,58.779713740187205,55.540551319840155,50.9453869078877,47.83488245973052,44.43450190357312,41.15855615614098,39.969901035508904,40.29828191098454,42.90030613858704,47.13406672018265,47.630676725133775,53.615389041908855,54.18076056864339,56.471664202517125,56.92484543421627,59.22736757868969,57.978905217166414,58.77720938698189,56.978959494373264,58.433187615894255,55.64786901023076,53.342458639378,54.10806668437566,54.07744232783045,52.686479464496,54.030899390763786,50.680741346836044,51.75869098167763,47.9657571604296,46.030358901626755,41.97964582985439,40.219309045941586,36.734077953239364,40.93828597120454,39.20234286272152,40.22004314935533,44.20996831858639,44.80136566142188,47.74037445919488,47.13887172057014,51.77695982035543,47.59323071568201,50.48527066332956,50.30584186189604,46.27907801702802,45.21866152487266,40.762872894010364,41.115602055727685,36.755338574634074,38.01501337865273,36.49184424451318,37.231871786976164,39.37788017529914,40.27270701705351,42.47394718410639,40.248066492525524,37.15767946729907,34.826982670686554,34.23319255750752,33.42418337460601,32.18464219906536,36.373760097250056,35.842226908026966,40.01309393962511,42.866924747219926,47.262293900328565,47.55998294999744,51.70489457234429,52.79491851617617,52.830616565735525,49.52205868257471,45.24407068633003,43.86558469667233,42.08951581117213,40.06350671999005,42.41244238534844,43.09934524905151,47.18704702027174,45.60133391520592,44.17549348326719,47.319796316101545,44.947891739662815,42.462718094209535,41.20446437654361,41.352711473784765,37.56978462914431,38.99965469747813,35.95918741526922,39.6755935432173,35.77667875615787,36.927252158826334,39.96936902735629,39.25322972508394,41.6712640145797,42.51173412079185,44.37137065252385,45.47776636697762,46.94582470166357,46.203108968811335,50.30846758511717,52.11435553312951,49.77414909922606,52.47917803748155,54.255763775009015,51.8397559837222,48.205829207960555,48.57268967248268,46.53324071605791,49.842244324667035,50.465579550866615,50.63230898033112,50.97169140057499,48.38603112677826,53.70017195739646,54.15586280000586,55.44617717520818,54.73333154781793,51.183428515989455,56.129489211465014,58.95609348666926,57.960806858490315,61.51116586940881,60.564849049599815,63.81819548506043,59.80404351653336,60.20149993305199,58.36888269137139,57.36430046415923,58.613164954839505,56.34574825488735,56.30038087197791,56.10972725030509,51.324691018050764,52.23475687384811,49.11644204554114,47.282533639488456,49.02556223996919,46.742160296742185,43.58844660967594,44.313146958213466,45.585334918250894,41.14091993670542,39.000938384315795,41.93830986269068,41.94025389914629,36.30291517293298,36.974207373949504,38.455329379665955,34.86623562013321,32.37511321751367,35.37193211909471,36.92754383864692,40.391381094239165,42.93540460907083,43.83404725258808,45.69641598553853,51.11235438612679,53.5199752070789,55.79831910201411,56.03403013118242,56.565303357769864,59.17515024007031,57.17171173682448,61.65096683803851,60.38782649426602,54.99375930687068,58.15869376822643,61.65895685116326,57.62463243876231,55.93234246899259,59.56404069936143,59.51833775069226,55.08861195491757,54.82855732793283,51.20006241730233,53.27200410807932,55.768002024189606,53.769015750174695,55.23521395514309,56.3097034716752,53.87230597277383,51.17499951318272,51.31085362952115,50.70064424231278,46.84291186189948,45.84936902805921,45.809468830414204,43.03654622581925,41.044824135229675,44.829807783130114,43.30359268443755,38.58955526544065,41.05810577935874,44.650586968298406,45.26598911832238,48.893483172912966,49.31663580886197,53.262820987974884,50.78956218524637,46.497193173734196,51.07337463922737,52.09250604856314,48.75282347480227,48.95545176537074,54.5516694434372,52.530825646678586,48.16150609582151,51.60594769319546,55.561778529835046,52.826139644587485,49.4109879361604,44.73248304785438,47.791420548266565,43.351903493007924,42.7835311053917,38.34972069700351,38.99496514631573,34.59722381790493,34.479150156944556,37.54018268938795,40.831774442450715,42.29784344034896,43.51964199397865,40.37152440083859,43.70326880451643,39.663927317468485,37.40758711824534,40.611437532323,41.302420373264844,39.4213536306308,36.64228097227731,36.04928078663794,35.71688726396964,32.98913907697487,30.546884417460827,32.28760336009422,31.67163913092443,30.65962991502775,30.528428415846285,32.34134904215907],[21.546899027490426,23.704563591719445,27.860717291344912,25.21938875968836,30.668071931304574,26.533288816853684,28.429695079729008,30.26242047913554,27.257749261198516,29.45755499773344,29.73755438390379,31.622686786207122,34.41093296527644,31.46264766982821,35.014908636165025,37.743538552979004,37.935286060975095,41.36220732996648,43.684709848480594,47.10747479051765,50.00605711447046,54.44759834190738,54.55050839281952,54.407155446280576,52.33192274967382,47.871442273733315,46.583885050432485,42.759017510540815,42.703711103539185,41.9095212223714,42.3439432148486,42.67953569367943,44.53201100947786,48.47510982306238,47.792659653507826,46.89698692297206,46.791232482014046,48.419211578326234,48.94645634892082,54.87449824132036,52.25922355782892,51.8323512521842,56.24208736294942,56.47269185735716,57.55799984231506,56.60913556548152,60.31310526952072,60.257650074348085,56.81439001863773,60.77789143421479,62.87284365192299,63.62793198348102,64.10008346992815,59.100806956943494,62.70020409527033,65.71962562378282,61.887389833575654,59.84458464873972,64.47599378095093,65.50648126023519,60.397732545738876,60.55461941273192,57.81544901716899,59.045583476329995,57.91236387988689,54.42921469412638,50.16957966486725,46.84229272241261,43.76593906141766,40.371624083808534,39.46987518549746,40.16420682411642,42.417300022345195,46.703003791146,46.76024832763224,52.79908493610661,53.0613265596797,55.218729124477186,55.472846728315986,57.69704165033474,56.11542001513379,56.82868403430538,54.7060421992113,56.127550584313845,53.50032865509016,51.25746721586005,52.35181212036756,52.120660290721034,51.14851652038945,52.447459795197595,49.35858065273814,50.71471167658647,46.811047738556226,44.609859065246276,40.43926673289441,38.8493077575209,35.238691301981156,38.97039019300691,36.917360908383046,37.50434213827611,41.708137443225056,41.843941554881624,45.0685289167053,44.12013844362854,48.78837705232298,44.485581081303316,47.16960396508527,47.041874781628174,42.93428492470203,41.868587938178095,37.48691040037101,38.21105579834273,33.964650390361655,35.593506141987795,34.45522449278792,35.46884575001642,37.88122949027206,39.06564821053213,41.63606655890401,39.13366322919698,36.14398493772862,33.50123162550155,32.89195084212542,31.649831444133948,29.9506329660232,33.994804027175476,32.86185015482134,37.17274253353595,39.84218186917544,44.263492380555476,44.57067360728455,48.58848102740357,49.949278882620504,49.898945996868555,46.84401776905852,42.66802081697086,41.280816511653576,39.8473495263914,38.15786355807879,40.57793766656302,41.786275095218365,45.99628440822532,44.332872266111465,42.60706607543079,45.6579787661371,43.13200947782555,40.54187592410679,38.996562100565534,38.80037394014365,34.87577334477707,35.91347004107686,32.861554042728514,36.34924522619595,32.380987633901476,33.903206310628526,36.993621806745466,36.51138214190258,38.71076362319457,39.93529835471743,41.54081856426638,42.94896759349645,44.76082983401685,44.17423269503508,48.27507287765735,50.038241726037256,47.90794805260275,50.319354929730885,52.26655172021475,49.65662630198684,46.13579215864874,46.27964052480439,44.339137273294995,47.519270019630916,48.034952346431,48.198434520090125,48.34125232766354,45.9519474211366,51.12525282457354,51.73862834725495,52.82508129206913,52.260206537115145,48.39722176799618,53.34251825431236,56.21480866983846,55.47126838106597,59.149142724884555,58.418109506200004,61.723534444996204,57.99572903476294,58.186198297675524,56.25864569956711,54.997332775546695,56.1527505991545,53.77083734752124,53.56371317327547,53.24583771208849,48.41739393754208,49.08087614515681,45.84909829058846,43.89017408235065,45.42316247864396,43.02706177091571,40.02433434972879,40.734048426214635,41.77795553364638,37.32234317892115,35.44640488736171,38.18191951680135,37.92598766824812,32.422840227599245,33.16676298953804,34.47583077706358,30.79149972383541,28.519650908723342,31.54890694601447,33.268118895687245,36.5090258435651,39.44134752567802,40.140701609947804,41.84860319609224,47.29058841070992,49.661926447021806,51.929526644093855,52.03961024422367,52.63346737631188,55.22242789167638,53.26480213863757,57.802946758479656,56.575368373703036,51.27072994575349,54.46303177698328,58.03662077955257,54.08915488207169,52.44759999869064,56.16073106657635,56.20967081262186,51.80117076692491,51.6670850519672,47.81902644176838,49.81628815584493,52.17455783348935,49.986284858005995,51.40418079283801,52.31677775564307,49.98084335996837,47.3530542648765,47.28321438183105,46.64997046769697,42.90768040534076,41.84639442465088,41.65975613279489,38.88222054759147,36.93777297092074,40.640197233707035,39.04136526008304,34.34319442762405,36.86868737710451,40.43129898588409,41.140008947028186,44.76309488816632,45.260448803474105,49.22914938373155,46.75418616769128,42.571243797788654,47.19991923822123,48.25441772350743,44.96831861878344,45.307129211823224,50.88272835897547,48.95251416009393,44.69696623493355,48.199148550402604,52.134427911654164,49.51151591941967,46.19072091669959,41.55882998477427,44.79664126884197,40.492034753366724,39.61304408216592,35.22023241290963,35.58735926172033,31.1272271008086,31.40156360790051,34.49213458812237,37.91895736418495,39.324235988037586,40.23463761557815,37.1553707590263,40.44013569217931,36.53263800455976,33.927946340318165,36.98125318986392,37.45709733462905,35.650922590407106,33.017180612934176,32.1721780759549,31.711456646658437,29.281313917204844,26.74800256025354,28.200456796130922,27.525470633272924,26.60589456712497,26.555941593275154,28.50906195711876],[22.78157435354323,24.660580085457408,28.36054360994704,25.352373519034806,30.255327932059707,25.538315167364544,26.827986909025995,28.25551238869504,24.724440248838093,26.620981610178656,26.4116981156583,28.284770937253196,31.28737704341329,28.166439096424448,31.327404724306096,34.21655751840628,34.69120774945928,37.87776727834862,40.290165945978465,43.765579731041036,46.60634927648161,51.11511760008524,51.23220937066363,51.31119280448752,49.32068821632349,44.822036569180476,43.67266164220148,39.83172179396365,39.49777478080186,38.65798566306603,38.53192664846003,39.146727704306024,40.72563458108559,44.56752772224614,44.157724041509,43.375101715211485,43.53974746362958,45.31487686058537,46.1020176949723,52.142714896194825,49.61787357229062,48.77933266701868,53.179001591168074,53.64645213018717,54.789413091080746,54.08645790894261,57.793578888202624,57.595871094369095,54.361848961261096,58.46890820907177,60.307182961469806,61.13929260181664,61.37708561071568,56.36605667344625,59.74391806142491,62.68671736325284,58.824547888877014,56.608873045575535,61.149839710016614,62.24452579315412,57.01887229736263,56.88919325132468,54.03703813143163,55.21332123097407,54.31841257529097,50.87269633990794,46.468561650579375,43.09927372595288,40.05142913795571,36.48430391664239,35.635851322598896,36.1346472333448,38.30630113230877,42.70275446380114,42.74298385011112,48.66942392165728,49.20277509186773,51.23893984159663,51.72875722754221,54.16026820883274,52.757839640314664,53.77262640306738,51.787690984427385,53.486003326767566,50.9222985530465,48.37635885214417,49.185794062815425,48.79132874473047,47.60037826377482,48.61939318782978,45.41287399367165,46.52147048072221,42.617832823127415,40.47696359609745,36.4561233271377,34.64036977483152,31.201020559009848,35.16305035705687,33.37690089643668,34.21963774102065,38.42242635021568,39.10047148094709,42.202939961009335,41.789004304014426,46.70830740666676,42.71870156256619,45.726044348100416,45.90677777294186,42.03227174501868,40.57454578394614,36.26795054153423,36.528699244685555,32.06097157151505,33.65045461251508,31.94947835115024,33.16201222130559,35.196720419092614,36.63196711704475,38.66614965411568,35.94235841349889,33.09344094582532,30.565611480629013,30.532583708071357,29.47247326097671,27.98690254289777,32.472963640612754,31.66326860908739,35.941730898932285,38.82852823550485,42.95753691211119,43.81844076759643,47.793254962440784,48.966597536999934,48.54234912075341,45.63886294482499,41.315045028358625,40.524202062401436,38.65020315377594,36.789440800926066,38.81382823641552,40.01431446236021,43.95517255298715,41.927575814346866,40.32831951633674,43.19085128399232,40.44969448340842,38.07224534851472,36.416774917705254,36.46372161832054,32.49835277153068,33.81859092650461,30.43985535980113,34.028395818441204,29.965025039649635,30.960596063167845,34.14256591965082,33.60554427309989,36.20476187301301,37.12565355925962,39.30825966461413,40.84870079045145,42.20011037915442,42.0277045834957,45.93540690750166,48.15340772865931,46.363901247072405,48.992684384241265,51.169524701503896,48.83192164571874,45.13915828130721,45.172378306086294,42.87463670805939,45.74429213153544,46.01249244073965,45.868043956518974,45.91567507213721,43.17934330246989,48.36946486094957,49.147106488446795,50.45250025229427,50.169380419231864,46.507839749483544,51.67109714407042,54.65283711175209,53.66016393151998,57.18010508775834,56.12063921170688,59.64560598822187,55.81003896772268,56.349442175503626,54.64415083938124,53.46927093366593,54.927843061917116,52.73518790319006,52.75170415017288,52.76142466578787,48.001003225374895,48.79767405163923,45.87086420264204,43.58437418599652,45.52947597705925,42.865635919687826,39.80094911172331,41.108415047124936,42.21382656602671,37.567519330260915,36.10573317918627,39.11513397606314,38.63840499214229,33.228637814041505,34.443646867310434,35.88366390898055,31.905647889333878,30.003505675220683,33.525546106397115,35.12366664832625,38.487164283601324,41.46301433503936,41.7582014407469,43.5625367817629,48.947194096241084,51.64720970440086,53.61721591230274,53.27182902247415,53.58459024510224,55.911763971848956,53.58861750267062,58.194997800800344,57.34330208738816,51.8446289665118,54.73242032602579,58.58819247756108,54.800268784014136,52.837749964754174,56.37375790907666,56.863201677058676,52.53410119475388,51.813657665774315,48.138727229423026,49.57011767096348,52.05198045787151,50.017038492388345,51.100983181000245,52.11313715054806,49.38404125226176,47.00289335990002,47.2828861989653,46.28072637983185,42.42102886072782,41.89212982235474,41.724241898370046,38.80869729361546,37.217124650592496,41.22522779585766,39.56775337608605,34.93008489969822,37.915433141146345,41.5620881076113,42.297463764904826,45.66780475874328,45.81086368616408,49.953139804330704,47.91298614186124,43.54418819502972,47.956077824108895,49.43353926832646,46.2731851513702,46.2317196249228,51.983222858219,50.48830865954823,46.0513294547518,49.218543886172675,53.48606870053435,51.189775069660065,47.76043593007377,43.10883150133233,46.72910293165668,42.50261426664563,41.79697028921702,37.10471332539885,37.04761486926804,32.34426978516312,32.934921935892646,35.7498138438528,39.29539175676889,40.26863811642946,41.026358835811266,37.37557974064604,40.296364001237876,36.01983859730335,33.72095774803328,36.34055247955847,37.05151030354836,34.669505909908175,32.26661704573945,32.07414671844439,31.293398400596207,28.233182655339853,26.58001435000718,28.426000859177034,27.316400531387302,26.01031314347166,25.601343607329564,27.304362066987682],[24.76493082611968,26.922080346349517,30.568034527893797,28.10579605349879,32.68275483176251,27.279384639875428,28.455615967312703,29.150104569517413,25.557306282255645,27.71825128536634,26.970422513104417,28.249177861116053,31.97753833751886,29.155494274315156,31.666962023038305,34.56597559502217,35.70858997894723,38.75589850474645,41.56888210481051,44.881679675952135,47.813371745076594,52.31507286165608,52.60871581364506,53.012074210942096,50.98224626304061,46.495917669637265,45.28908942274074,41.35902635136581,40.518628798700696,39.276310871871004,38.62380366294983,39.085778327107874,40.177471233450134,44.12206579840009,44.1226026086778,43.79049354850953,43.95196835440373,46.298826573406096,47.41627763341587,53.44704778040974,51.28770065065515,50.152299365530034,54.48019309500216,55.291188313574715,56.65968058308995,56.22575473056182,59.9289235479773,59.44174316368205,56.33989869290616,60.49629794624729,62.010397303513614,62.76297912551264,62.75185049553702,57.751239192408626,60.714378137877944,63.777737813331576,60.04869950965624,57.47200516008181,61.879197624580854,63.28083621700341,57.9943790706878,57.47415335731176,54.3770516514107,55.74059387365188,55.18268773693088,51.64551669504828,47.28541394308244,43.72737421659564,40.98549999406224,37.091754512195614,36.52457690776348,36.83639188770596,38.65311281843206,43.24317615948023,42.95620074746773,48.62530921334306,49.45440983865054,51.09065399857122,51.85018142781446,54.563014291958005,53.10847229818629,54.50123816838098,52.33839370293465,54.38272220261966,52.107780844098116,49.248069160434206,49.99328586027429,49.10482048672908,48.02955650471527,48.43677198487013,45.31706913980256,46.13246671593451,42.145187316635955,39.839222692529944,36.10578190299612,33.9358437228503,30.867650296803273,34.57763973150728,32.88484185339598,33.27701245347389,38.024206313985545,38.850409393056225,42.29909592628524,42.13779222790654,47.43333155509013,43.67819808592241,46.674231436099234,47.2642260948072,43.51292866634578,41.6743714396293,37.6253477959986,37.9666359941402,33.483503320590856,35.459398428707374,33.57167160390305,35.22870660842316,37.02810911399046,38.90904928436865,40.54588194641179,37.413389321413206,34.86039270729792,32.312206423862946,32.90078155368817,31.73032312181288,30.07896925560797,34.743341465294776,33.55068804722583,37.90811209567783,40.71192484689735,44.56997492239343,45.90284859168272,49.645803372382034,50.99880420203609,50.14681157912773,47.70818335939236,43.4117299491383,43.082629023936256,41.223293297575154,39.52561508047353,41.255515917220556,42.786619776223844,46.526146832842585,44.12957656410309,42.471223164282364,45.03350874798442,41.94327147864268,39.750108677793705,37.690234943431186,37.62125646780435,33.462844537994386,34.490570409126875,30.605121723969972,33.70252212078043,29.072263221760927,30.044196591742374,33.64585688223317,33.59065762568561,36.443588950790335,37.55020312879273,40.16117611515817,42.26354920850767,43.44934313254857,43.90804372152161,47.56450040082347,50.19090511074824,48.889216309182245,51.43732553102699,53.9112471495359,51.62755781794151,47.93550350647252,47.70323863132376,45.230965418733675,47.67498539932472,47.57540827884192,47.07560401934472,46.739226679573,43.809640471591344,48.76541657263335,50.00780368799406,51.32233659270224,51.57317130752502,47.773842721799205,53.13004707931384,56.25833266174693,55.31875339771851,58.790767967129334,57.60446452514486,61.3896200040754,57.7203946065289,58.424254186369055,56.847338434081145,55.51646219400107,57.13458329588334,54.99169233273108,55.008519673108665,55.10910502607972,50.380107643288014,50.96255489374469,48.09811106010041,45.44853134370485,47.3104533449114,44.28952385368239,41.48574457380119,43.11891352766876,43.83956241056383,39.114932622007274,38.34652227037258,41.08887362289957,39.97852813680923,34.99519143636241,36.486295795271324,37.55627319394699,33.33578887100107,32.07018860508593,35.60878467481104,37.49667333631592,40.34925554314238,44.02138960479914,43.96983428477326,45.457339917323715,50.842365283901344,53.41038395328231,55.3660651444742,54.682803638398084,55.071389306284956,57.235364056908,54.84556489137038,59.59080763807792,58.99346827040861,53.614633847198206,56.37646887877188,60.48027755490676,56.9225165886289,54.904588254481304,58.4433342093311,59.269979402431694,55.02943718273782,54.2011964174317,50.355414420261134,51.32843944810967,53.65016238841232,51.38159213097222,52.10390238091641,52.78744126467154,49.974947763689705,48.01848571839497,48.06128519903238,46.6487719866846,43.05659739887301,42.821190961092164,42.19333895727071,39.14811845350565,38.05855864496158,41.92230583069031,39.90090535456359,35.44446685181205,38.84513144387195,42.32779424075208,43.423911520906444,46.67281354517675,46.882056645222285,51.13393985541326,49.248712410655436,45.14085532348343,49.54434331747182,51.22165416663757,48.22295282479566,48.31862589686491,54.04441178422519,52.804603003436604,48.5442845066446,51.679881526126835,55.97701230104697,53.904133017217255,50.602628575911396,46.040154588363166,49.8741395673748,45.82104156523411,44.787641250902794,40.1872820637554,39.73126408003519,34.9534215158864,36.08087221644211,38.836307237001606,42.5100511475499,43.29684554739748,43.63831826776972,39.8600028497778,42.48277336560558,38.18472308710059,35.63251631941806,37.61030850596421,38.057691996152485,35.28469550044991,33.50207196357601,33.33141031462188,31.915915417119255,29.028879898421014,28.060013761394135,29.42084217031299,27.642047891581463,26.151639027580053,25.33345121164009,26.90837004004558],[28.2887800647255,29.96809594541438,33.24208684568439,29.941423482083064,34.20588141252126,29.085467109702996,29.595149930623347,30.460305829631043,26.311014251328277,27.56249264466801,26.507661441021504,28.321397399252916,31.565695324138243,28.121354077209933,30.435950348180555,33.61100640051154,34.49295253399261,37.06626293648335,39.36648672959512,43.028564525063665,45.574534968530614,50.193439627545686,50.175309146628585,50.546893469549126,48.88646334228068,44.37451585880172,43.653649432784675,39.933548131942764,39.248611081733294,38.470924270343396,37.18665819349975,38.46846450222087,39.43580552847758,42.97125525588846,43.15526018290678,42.54188664351854,43.29457277394527,45.17725207957695,46.35743234376737,52.528761423414146,50.04172973930861,48.487993765149405,52.83675030371876,53.613422717641285,54.683702798777816,54.32767826058093,57.982359588332216,57.721281081806545,54.89982044780215,59.20652126757883,60.709108136965924,61.73503477862425,61.62632194060356,56.649621881218735,59.71029248217809,62.40854067942512,58.45096768801936,56.05732726791616,60.40042373437006,61.47202298155607,56.052746861498676,55.403695893630086,52.412121248788225,53.28845846673864,52.873196684887354,49.65506577167494,44.868329019107705,41.588431843797586,38.45123469310874,34.69831892245841,33.78376231087432,33.63761004117626,35.8610345807129,40.38575128634485,40.652574025426055,46.24964592318685,47.46529917433938,49.29642235703447,50.315007815329345,53.126685455500095,52.161659860445184,53.690680396099005,52.0312148493336,54.14286149615726,51.65827001578162,48.67565739613935,48.91603547319307,48.31632698562182,46.62564810100509,47.118898955126,43.63314136250579,44.09088161170469,40.276013815067614,38.3822781586773,34.810670997594876,32.455217518833365,29.549784037593454,33.99082199014734,32.82474974093142,34.05628471604121,38.24925165926307,39.84829609425737,42.719948944363374,43.1650247954469,48.37437276948795,44.887044297895976,48.27166822706262,48.82970630372597,45.28640146701416,43.3883791586718,39.25503995768632,38.90413394220237,34.248625339889294,35.64829219283339,33.114766095859125,34.44454251942352,35.78357038227553,37.37668932588968,38.396945164039685,35.554209491632434,32.93551445336602,30.828017312161133,31.608363995821012,31.03925041831269,30.0691246310138,34.99548388210878,34.74534304297368,38.855235206913626,41.9702510983731,45.68778215815583,47.16100964592107,51.063424715743146,51.95686798007396,51.12185814876446,48.373597246795924,43.913450467661725,43.796115953097015,41.3542813968118,39.19450555675796,40.683888965574795,41.59040269354669,45.06659912067871,42.641749174788984,41.394070675825475,43.99936154661237,41.073390151158584,39.08601343159397,37.41844450748776,37.903328758364026,34.0111222220286,35.72350186730105,31.94273482642608,35.49625515852191,31.254155810189445,31.456697813787766,34.79378588388397,34.24302492731625,37.429080431125186,37.83964066407103,40.879065434918736,42.51322613410964,43.10302761418754,43.44255660247031,47.0319086825324,49.828945581050434,48.38825368836955,51.363616245333276,53.704755355000245,51.77257176115747,47.891647013464926,47.89281390087995,45.183275754660734,47.68324913951828,47.66696224357563,47.109183213736664,47.061682925420236,43.81098819274773,48.965456752926535,49.96054548076028,51.60935263692566,51.68741794423212,48.41611936313949,53.79119094357478,56.86371187894501,55.5011116789078,58.74076808012802,57.184673776604605,60.94989936284388,56.89463829891255,57.96525079052354,56.58668710252771,55.620813233672976,57.45688600823227,55.54401419617145,55.859971613226186,56.256643417985885,51.62612157380141,52.606158031405386,50.030442540158084,47.461738953640335,49.80205963732139,46.89832938863468,43.82076527304942,45.67906989242331,46.81562178720252,42.05331729780532,40.98393932693331,44.17641915288556,43.46892111623201,38.24744416016229,39.80728712189816,41.27872826602691,37.109778957803066,35.55051573926072,39.32551387444279,40.865751172995346,44.229758157606,47.265623524861,47.299004688453486,49.12873007128217,54.44931352579336,57.32339109993229,59.100860805127034,58.39550065525672,58.5079147817935,60.58996080334306,57.95905678335761,62.61138089297425,62.11445202424718,56.489390308572126,59.075342146995766,63.172142984007664,59.54838688799455,57.30729778405286,60.64119819016038,61.52378500955873,57.289326166177055,56.017890832943586,52.572833335332795,53.4467846947705,56.03370399655237,54.15645669342714,54.86927642737314,55.91857332216622,52.81118634545516,50.76473038526167,51.33603681831887,49.91564023709394,46.043473699145835,46.06967893652137,45.818929024472965,42.784809042106836,41.62929089137052,45.79823412799576,44.005900096469084,39.51647564105663,42.9038190781808,46.53215657266105,47.37520066481145,50.517894271588624,50.40237776011533,54.67342923806895,52.99945231604726,48.56451857596817,52.771826517830526,54.58831723191521,51.55313100134858,51.225197356290316,57.07762975359577,55.92269672421133,51.374577799207565,54.25405546429325,58.7603676933443,56.704154443051706,53.200463611990145,48.55342106431903,52.37940818117709,48.19161014935057,47.66464515079898,42.80473739022078,42.50970849209689,37.690966262176204,38.42650637495464,41.01432252439463,44.58083086353786,45.23094190078111,45.925711253769826,41.81497680530179,44.362835484105986,39.766177386035004,37.85758865024631,39.97630032006341,40.88705731333263,37.90653168850109,35.86773621213069,36.31543446777904,35.154353885203854,31.579931256612493,30.9093680622915,32.96714110988609,31.364816842467494,29.71779449290266,28.851151437052287,30.153400662568522],[28.114835339845193,30.016600359306146,33.145755582733514,30.58865202548138,34.4455067363654,28.577448214299082,29.07320298284213,29.089872621912697,25.10338821337992,26.885884403164603,25.39474947461348,26.353390006028224,30.46393607820715,27.664860861598765,29.332646701386807,32.34107633294618,34.03000574139668,36.64839717572159,39.62553105785564,42.8813898798561,45.71274058523478,50.220104920958406,50.57305890694869,51.31849423787828,49.41434976714374,44.96885732563323,43.933711081371584,40.05056774882955,38.750414787921805,37.35163808331647,35.82968959827744,36.57779783642162,37.11002084812707,40.898375864343414,41.39581798516632,41.36819081396418,41.85165979679943,44.512265711345975,46.00875926286177,52.06284848458601,50.14023933458536,48.47213400597891,52.70180896148897,53.86755813081059,55.340666817953704,55.2564386945674,58.913188617618424,58.20241259654811,55.4092290209021,59.682484650713654,60.81072596805262,61.6211178131948,61.28133068596134,56.32836512923344,58.88720737383793,61.86569082838201,58.17906246514734,55.32662502488773,59.54185310651309,61.09489718824265,55.706880163194974,54.73008042595142,51.4521132836035,52.78829599973785,52.6343329304142,49.164931332803384,44.704494756942694,41.09898194831898,38.54743443309095,34.41765145985699,34.02731142929087,33.99623107515376,35.54486143653625,40.2550045326703,39.84623056450998,45.18879668899633,46.462564637496286,47.78741873683441,48.92779958704558,51.95397982291214,50.715298923148964,52.56204602233417,50.52857483487437,52.96249358246366,50.879840310077576,47.63195802192173,48.016527427504194,46.7886495911382,45.505780237329354,45.34867959010229,42.154782591640824,42.52252170621928,38.56182082401326,36.31160177283081,32.973819368726616,30.395259355183832,27.81627759240204,31.621177292122862,30.362917309869513,30.878936218390347,35.71771244609051,37.22373769310335,40.574503694010886,41.105802216412656,46.685629185062055,43.41167744072016,46.67828000378025,47.68491700556578,44.27352748002487,41.980754793490846,38.18885991318471,38.075696452981745,33.5092893776835,35.48543859275626,33.011027463654315,34.950864683528465,36.20777071351406,38.427621482332924,39.30496681146363,35.88645549006222,33.67350179146021,31.35427636962125,32.73597035592042,31.781136330928415,30.382235109506215,35.347058385609245,34.413803418351456,38.61782368243332,41.536476684613426,44.94303987568699,46.91722307801021,50.492125671164814,51.68534334176005,50.361347348770636,48.24146485948159,43.892935200058474,44.26662132769412,42.029226588350625,40.24600834151658,41.46075437866956,43.02248160779063,46.34860605221582,43.5230315349499,42.02741818232346,44.24598745622805,40.888902911535055,39.042760374270436,36.79964748195455,36.964043588367964,32.839277647728366,34.04148366700101,29.772062374024173,32.685169400976015,27.908359046456646,28.196306790188686,31.94955968349009,32.01594399539075,35.33023884393628,36.12341707219342,39.45162744680161,41.813686140724926,42.4225003683486,43.50230621302176,46.804381125168945,49.97745603858947,49.171917442797664,51.877069849698,54.61132062340121,52.64184720775497,48.84533974379414,48.44741031103835,45.626564736098736,47.594320982235054,47.136718784793125,46.21317825736994,45.6616571645989,42.341161434759265,47.14696366285183,48.70008585022877,50.23688591556401,50.945639283502764,47.38603566034057,52.932822238722466,56.16831252869813,54.9972012408798,58.2454995000619,56.68948416200118,60.73400363204104,57.03856186507217,58.145142828094414,56.85157792646969,55.58735243303702,57.530019825064265,55.619257936701004,55.85784811652686,56.29761437630216,51.709297970171264,52.356768009174665,49.83675219845942,46.840961451072104,49.032210227883425,45.72803324507772,42.992307401704124,45.21495034457483,45.88536214515319,41.07104306070501,40.844573061442446,43.70566436036847,42.27968801582934,37.596610114509744,39.50205558506461,40.578008641117506,36.16594636442644,35.36332305817126,39.20852429465182,41.02080446229281,43.822541556559024,47.61445665768273,47.165404730368124,48.64472735826624,53.913123422132735,56.7023637056047,58.38261110572316,57.228886439860126,57.380109185869436,59.24139660043172,56.52543774340123,61.313754991737774,61.134228849783405,55.66852807444051,58.08541151666546,62.46666904953029,59.14663540040134,56.84679036349911,60.18095277895736,61.48347983455775,57.380623501807136,56.00392438133624,52.329549281266054,52.65149820183792,55.015061492824984,52.86280142623165,53.16038046288553,53.839272216282204,50.663466273220344,49.09918351103166,49.409990817067104,47.5538901716275,43.9963952819085,44.35323339605269,43.63141392935164,40.491807976275524,39.89340754557512,43.907088064290136,41.78093726792796,37.54153630272999,41.36341314888047,44.80683764361782,45.99440039111737,48.93550793320435,48.83908616848837,53.21147039793705,51.77936394685884,47.63327466112942,51.77421674816144,53.8513782552563,51.037892592577755,50.83232106828544,56.63430843552985,55.84379094855174,51.51477911250013,54.31549894612269,58.86244323405266,57.13706269617884,53.80250482125875,49.294362296016104,53.43974037459693,49.520830987607944,48.57981230313422,43.81764873175987,42.959168055032485,38.068258462416885,39.51665498101536,41.99079200141773,45.7226855818023,46.10278463011247,46.2243338910749,41.99419319115927,44.163982344352306,39.62274874558645,37.362325178502,38.71299047830753,39.29996042641045,35.9411772231568,34.62098285434237,35.070375508675326,33.239735467651876,29.920674328820276,30.003301110951007,31.530810428103006,29.26233486382292,27.442226381233912,26.192232902770247,27.35035747730196],[33.71475545990914,35.31143881073475,38.11858431058957,35.01959608285004,38.47078002081626,32.75372814867189,32.58601083651905,32.48991074344355,28.061277293389693,28.942791745506288,26.9041814638682,28.091213595955825,31.896019635205466,28.665638845506454,29.645545106919478,32.885307024015006,34.6173365488187,36.52405499068626,39.06648244554546,42.57278738261174,44.95027845068075,49.52678173594562,49.60983365864054,50.50494119591944,49.03712197195894,44.638780859982255,44.15363546783784,40.536318114003876,39.15516943564331,38.09474051577002,35.5262924399272,37.1514498218498,37.20513464180971,40.47576855498528,41.45956818863247,41.37835578613703,42.54985195714793,44.95591896273562,46.68684476972538,52.81098201018262,50.741756482464936,48.445698123517126,52.59990746386655,53.90890702132476,55.14667038003725,55.305310939494404,58.862068270620625,58.258503876864566,55.89522779288801,60.320121352409316,61.24804950544611,62.319258448136544,61.732637993110274,56.86288497567548,59.272629976046126,61.86628956295771,58.02524751220795,55.20446404256768,59.221418845299176,60.55538346328508,55.02467380015043,53.659290896491264,50.38821262848082,51.232247248905594,51.47470573634374,48.37792434123361,43.49381627157408,40.170599921342145,37.38972848506963,33.3174745677801,32.70038955755742,31.95401817754979,33.72130987125334,38.38423820907984,38.45311502784382,43.43423915863823,45.37699416534737,46.65502362020544,48.28015851147009,51.56714136262792,50.895078873785394,53.10257226628581,51.574927904236795,54.248378751384315,52.11031277927114,48.59535795562629,48.35354130017848,47.18935853378916,45.264786152350695,44.81892267928354,41.28349398872098,40.986454196408644,37.25822213601272,35.46410499997476,32.62327134406001,29.630246056011003,27.629819075412925,32.03392091031075,31.515889710717918,32.72645098343895,37.101251949390004,39.53390612917884,42.35544679367249,43.680730600550525,49.26707129930228,46.43346169297662,50.052101001977384,51.19332836006822,48.07905532666524,45.60194269430264,41.888425902273084,41.11777957841629,36.46317106633483,37.96980906527091,34.7926569454046,36.5417448284628,37.14875473642406,39.225693210130004,39.17312028939276,35.93891950775138,33.883018871162896,32.12438939509959,33.98390281168227,33.64086881152977,32.90831502486662,38.08998003734463,37.9563564944819,41.87599262695311,45.02710217710212,48.13902413244625,50.42323228760423,54.0303595781352,54.823069717929776,53.34476596029327,51.12974509233328,46.677557234396396,47.44390970643022,44.656571478764796,42.4948612058273,43.3147170490417,44.33517428931926,47.22925730703336,44.232569111906336,43.187595675367305,45.26364610930528,41.968390197753656,40.48204177901985,38.51409129394183,39.21705348327894,35.38382052885851,37.13530857387146,32.86156306498784,35.93127214350897,31.44487961132177,30.87820015331534,34.43461427974909,34.20787891458628,37.92673981634732,38.03383491497704,41.9726647183345,44.06195030161262,43.92882419806786,45.17582468444018,48.22956325144019,51.74754492837447,51.02948791682537,54.12090266602858,56.81907594590864,55.25485079269031,51.30071417226056,51.03847724338798,47.93061168944414,49.740979060335185,49.20450441384018,48.05526860486209,47.633221874071594,43.90884252618934,48.73175639312834,50.236594411010934,52.13051069156655,52.912845913625354,49.89914465974008,55.49506271854737,58.71124477184759,57.12085266487191,60.06456537568769,58.049806605892925,62.16642036701759,58.16251453941139,59.74385193246329,58.74228357977163,57.807722970139366,60.035495382288204,58.401407918236,58.94452000785218,59.71779266972283,55.27377539571789,56.22542137584609,54.0253560664865,50.99907917823125,53.59473030625291,50.298005513983526,47.42515939981216,49.94420990646408,50.859556591661644,46.02265991572786,45.73826544194311,48.894159588133164,47.63544745508598,42.902405522515906,44.91814819482705,46.21761033333789,41.80964852334511,40.91982351188612,44.92807567436065,46.53516832177997,49.61204600517053,53.05828474314855,52.60149884756742,54.27322975353698,59.47778104749914,62.47183647956799,64.00266958924239,62.72748979868046,62.66049381774946,64.38210489839975,61.43128554573266,66.16217044073196,66.17199390780868,60.54551584955041,62.74002029057912,67.18741181715534,63.901377018784714,61.38322154432627,64.50670731314338,65.97975439673118,61.92959230405509,60.101062109315926,56.76767837351094,56.82420678135738,59.3672063739403,57.51297971566342,57.65763997813387,58.54896510212231,55.07983257554441,53.6162970782942,54.33043162834168,52.321092863453934,48.64244616129386,49.34668195270184,48.80476643086172,45.659922349859634,45.181322081639166,49.37584113162053,47.33784427457502,43.16449788041672,47.069988069135704,50.56213958941997,51.6478655418734,54.44798813478864,54.09284338311133,58.49566886848171,57.30537018095222,52.9792447174294,56.92662734679782,59.1818956544095,56.39466512420362,55.86394271150319,61.74890712700347,61.11119646494745,56.595235904198816,59.15192873791825,63.88063619887863,62.23697508139448,58.76881537893642,54.22233568896638,58.39894640204423,54.40999970666962,53.815862941309376,48.87456609354235,48.06969723817946,43.14854983661522,44.38024949166737,46.69648381462925,50.3513589983456,50.565282749854,50.88467483901389,46.3467815690564,48.33351984137756,43.55108104702179,41.82842359675801,43.07714072743627,43.99159319551055,40.346732905985476,39.032512871687416,40.03341222703587,38.2505501263239,34.440801357631514,34.97941075754327,36.92753635458523,34.65179698342981,32.676567323934535,31.286736696230268,32.11042819885486],[32.546654597285084,34.037868380309035,36.499643253254824,33.73072728707773,36.683848480827656,30.616480291042688,30.24090794211838,29.589920611633634,25.25378709497074,26.30047630875373,23.964756918524426,24.6252210651981,28.865607382850555,26.092915241228862,26.621327473627435,29.710656237396506,31.940839885285698,33.88533663632329,36.906151083262195,40.07838676721908,42.68361134144162,47.1487094465332,47.52183167958794,48.65592822544246,46.970921673579426,42.645406897985396,41.90106482083351,38.19119753313831,36.41149932880037,34.95957416693118,32.312102700353186,33.57138870240289,33.40863584761227,36.83999066998394,37.94780933638626,38.210431040971685,39.18841448073359,42.05887810355677,43.97599571049663,49.9884849573707,48.30443325581457,45.97836533542365,50.03801493839599,51.591831908706276,53.12345914756546,53.459590715631606,57.008031846745276,56.07584204620495,53.72138846235702,58.09611219027086,58.773005525436,59.686803970594895,58.962919352602576,54.121071555670184,56.21592283482251,58.99864820571117,55.3552900071442,52.25396521127743,56.19860062271904,57.848980718905544,52.375594474974996,50.86527887804288,47.43033142889323,48.64309888025387,48.97951410124948,45.6784960184543,41.09843690373846,37.53879080346208,35.21130996204514,30.912641219066504,30.708190249226156,30.202238198644142,31.420686449720915,36.17565184402391,35.704991749278,40.575589504777696,42.41596581553604,43.402960176907094,45.01887098489764,48.387088725743006,47.51174196718578,49.87707571376086,48.13303433670494,50.982907002995134,49.0953406734433,45.433654636063025,45.29547601258921,43.76413866808572,42.128041317257335,41.34232429733891,38.02799026600711,37.79695653492792,33.95654311740678,31.901864514684483,29.151183532468867,26.09341238134387,24.254532198568537,28.230996057688643,27.68092454808283,28.592487327873144,33.19785195902945,35.65547699539955,38.64135466746002,40.09224076550785,45.84012387381605,43.21792172469108,46.81599593766802,48.23596128135518,45.30034845608953,42.564265446890026,39.109377735495215,38.34145868683829,33.78614676299529,35.569617770194064,32.39810274068086,34.532776458702074,35.050712028019944,37.55781905494537,37.44181811285692,33.81323787222459,32.06954607410165,30.17117866759142,32.449230729472504,31.864879992882404,30.91950978661105,36.07977718042069,35.65039887182394,39.51504447739439,42.55736519931825,45.37873727175169,48.033686211339095,51.41079506056579,52.30589357902007,50.49737631961954,48.68508843116281,44.32536971177034,45.49561084599829,42.783210406837846,40.867650376399766,41.44013012548016,42.908321572049054,45.658393387581086,42.39087873259759,41.17717357501805,42.961292101371384,39.40168667204654,38.036136650538694,35.725461007997175,36.27032501331834,32.38191288091852,33.910844836473785,29.428694931696967,32.17824766100743,27.608906779670857,26.86100628945482,30.523795778195797,30.564615501812266,34.3710746289196,34.59912826084816,38.73962703771075,41.21671494387492,41.036627543555255,42.769066040286745,45.594755290338604,49.35955570010758,49.0978179170528,52.010948012299174,54.97259969946043,53.44004469203761,49.552167669897194,49.020730512557606,45.821293018666054,47.23686794585008,46.40850105109097,45.019522611225604,44.310264979012345,40.54181651995494,45.141670332302255,46.9513126546188,48.79157279968901,49.95204581010466,46.8380676440259,52.51074661149642,55.80811636200616,54.30340314536299,57.212740350911474,55.18646872608078,59.467278275630356,55.712761564589165,57.32419362969105,56.40246292333587,55.2984400246004,57.61922540227065,56.0331310487947,56.57224001241375,57.438569632288164,53.08324088721161,53.88510514225554,51.83489549830314,48.54378764094633,51.172226060534136,47.66324582661787,44.96779231345078,47.815848371379616,48.54442567951806,43.711103843755026,43.947183663998295,47.00530518462229,45.41358032459525,41.034091585931435,43.331556211992385,44.52063009329299,40.0158402217942,39.57965154945213,43.7349079903943,45.345854515052444,48.22153877453862,51.902457693506435,51.07482800466061,52.63600141889974,57.716098383068946,60.81597902803027,62.13717621081103,60.50211972381253,60.315078701684826,61.82112987822833,58.71923148587209,63.474540169021296,63.759186201459784,58.180872061218814,60.16253161609585,64.7894193542536,61.729039738390625,59.09513836210802,62.12549914442319,63.93434923998139,60.016983891194926,57.96333133821055,54.614187906763206,54.223769454259504,56.67651513220206,54.788004537825564,54.644122751069325,55.43393876658675,51.831776321615564,50.65914199524357,51.4133646322779,49.14192111007838,45.58201520509285,46.61087356433786,45.94614125013018,42.78090222368493,42.64393636565786,46.84302485191914,44.74501856225426,40.7791363766671,44.925118642955916,48.33651175575949,49.498992540516646,52.05945653334564,51.544057450302255,55.989637868426335,55.10314672744985,50.85654965803754,54.618585244498135,57.125340272608966,54.518153886957435,53.881453754528124,59.73913605193183,59.44805338208123,55.008041525273455,57.36288026663251,62.18678955725042,60.84769770195634,57.454283898148844,53.026350442684,57.460913961075235,53.68886263682488,52.97019334965315,48.025604549409316,46.80341417499945,41.86321282419716,43.52135320056326,45.63398148331354,49.35274447221449,49.27305649744458,49.24422631340326,44.53659476685312,46.17937249630331,41.40606295267072,39.65684965298555,40.379357984750996,41.233488325660524,37.31273598144831,36.41392049678569,37.645804917724654,35.54909872244895,31.706433243529556,32.88750865146268,34.73749273726397,32.15610485469062,30.05775126870378,28.468795900548923,29.07934584321057],[36.68077280959946,38.13058791246489,40.359899300548506,37.741977422177506,40.277341240146974,34.074488256235064,33.38523434920253,32.24340210490358,27.954849974408926,28.753899447941283,25.96599630400515,26.168890057402873,30.575639113360154,28.07608780837391,27.723505579364666,30.70907598524433,33.41670774470514,34.876504397414735,37.97410857001888,40.961563486117406,43.40839230109797,47.76044550969531,48.19885550283512,49.644311466888865,48.10479528340406,43.93018254954812,43.3418830094788,39.77837172476484,37.609111570591594,36.00416854088807,32.580464235290115,34.00889495052801,33.19040440807206,36.354622993145064,38.01120593052751,38.65015035604039,39.87000588544081,43.03431863330804,45.26147856694316,51.13956873773805,49.744274220734916,47.00322160374662,50.87133386941465,52.738250088117894,54.35287642822164,54.99585590405824,58.4402249069468,57.30959924342915,55.26360252160847,59.65087903964842,59.973366831005976,60.90194586656931,59.88994009727212,55.173851588729455,56.82389141579325,59.516268299572424,55.995070367472515,52.65124472734422,56.33135735494149,58.14355742745412,52.66842871091623,50.70081468270304,47.120200928827344,48.309100164691415,49.08310993912074,45.909741661260334,41.36428822790609,37.85030178932569,35.838599735864946,31.46211630770816,31.476400922756184,30.598677200715038,31.437288494215395,36.143995564907314,35.52365098530835,39.835525368681246,42.147459366451535,42.710962413966364,44.72265890362789,48.36379621360459,47.68666779933014,50.46683355878907,48.82171640371436,51.99007249463952,50.357099495886075,46.420969083076415,45.98427605767985,44.09346151651784,42.350613175147515,40.913766989222665,37.65011055726834,36.88233565867272,33.18918325533895,31.244199751193378,29.13931587599262,25.726998097195274,24.676325795154472,28.391096603001408,28.31944541485525,29.133996115323882,33.73098332828316,36.65893441581108,39.55461815179109,41.525831452927754,47.39731622846788,45.2171129414221,48.87771563714236,50.61838322416618,47.96853227933429,44.95541725830753,41.81207205739443,40.840766438155235,36.410505295721485,38.207995569759824,34.77707451449364,37.07903289239262,37.171658746933446,39.88373805338685,39.15549515500553,35.39571187534426,34.04310111812673,32.41466596399463,35.2003318270908,34.75816860341622,33.96903615346536,39.11421818382421,38.74991570180061,42.430472478125374,45.42904619912885,47.867063469647654,50.926905043755724,54.092972428136136,54.92790522953223,52.77751048866552,51.29907776457435,47.01503857079766,48.6347846336598,45.78832107920157,43.903929943258866,44.11331167938178,45.60936371293086,47.99353686083592,44.46576858762186,43.392506333086644,44.83420888857505,41.13041974447316,40.09329096037522,37.662453962206335,38.31298886579007,34.57255197320732,36.05953161285575,31.434851273541224,33.757113800601886,29.19670935888459,27.99197271808048,31.660735549068846,31.937833820636566,35.947391756693,35.995416669510114,40.57545696786965,43.278179969254374,42.67814711885707,44.91562569690762,47.37355516803648,51.49922876735618,51.64885250864322,54.586230005080964,57.70865869397948,56.39126257050506,52.51125746233726,51.8464554725709,48.48013003851413,49.48622478919187,48.36693160952548,46.64694954589554,45.71141241895914,41.72814734998019,46.01258265856506,48.12747240036361,50.083582624395184,51.66564199390762,48.746131079085494,54.46404648850295,57.80527689953537,56.1910210382699,58.89269219519464,56.618099049356324,61.06230226498723,57.38808241953241,59.28015271662709,58.58572969316964,57.50760167757242,60.02359217767584,58.61063459658816,59.26676243197151,60.326944131861474,56.11885625252447,56.89032058591413,55.05723992222604,51.5636607693977,54.28219525195459,50.605173920822544,48.06838270229187,51.212289006169904,51.80441245869741,47.00340631196688,47.63472503482008,50.621554547982456,48.75893577370827,44.6969788780988,47.17247652988645,48.247395142024565,43.69218670416166,43.57940267232625,47.77183799820189,49.41167682242887,52.10404777827535,55.969823365621174,54.91986801126733,56.37503698434719,61.35815615177022,64.47849834121574,65.67459396489397,63.75711647086562,63.48906765089906,64.7895021985202,61.55016299621809,66.3085830715478,66.86602224764009,61.34390762000206,63.10068764448768,67.88081919804608,65.0274601321707,62.27494205628703,65.17028014412828,67.28013247440542,63.48913104077807,61.170590193073764,57.9051950435153,57.08291006055471,59.47662015322808,57.60884547317357,57.146580522755855,57.82041526803466,54.06445013568698,53.24895578389315,54.05185880461797,51.473969096323906,48.09597275898073,49.4770741839892,48.64310444555275,45.47064033282308,45.709577188550924,49.83784667631544,47.62539165808986,43.90083378522129,48.24716301886433,51.53078209893484,52.82072154026524,55.176710861742414,54.55530367544645,59.02159161093958,58.391543245464135,54.26220515987977,57.85663653344653,60.562477767933906,58.10647352510296,57.389149250248224,63.20703223787283,63.17692164119266,58.79678877342829,60.97960085130914,65.87201775430586,64.74547490402729,61.397061078778776,57.0501207484138,61.61442444303994,57.954965918211805,57.2012091869034,52.26363032251241,50.826251226230724,45.896450461652165,47.75492409230567,49.73401611014547,53.45938320743007,53.18418739486803,52.973586202218534,48.12252140550305,49.46273705722887,44.675282245552495,43.039938460922706,43.29213729043109,44.11621356194094,39.92184758021844,39.4484889593084,40.92005542275752,38.5378461897803,34.70506228847562,36.451069916848255,38.17615474417495,35.3154235592459,33.12523705080204,31.32610783701743,31.649373566332873],[35.04036754208797,36.15056494647012,38.030181875502876,35.139090082299234,37.31673360547117,31.26762782946993,30.228685183665107,29.11270121288882,24.669804626879216,25.09022559333898,22.20183021563193,22.612287065387953,26.764166781527713,24.142772307551624,23.74247049966972,26.791208205562466,29.399804750024504,30.815093466141402,33.88831804914238,36.89603333636915,39.35370040279469,43.723641269835454,44.16185069267744,45.58633725806151,44.01821324046788,39.840384581323214,39.25978485323495,35.71843054338608,33.582753053430736,32.09654670499522,28.679436002052736,30.29096241825233,29.645444177820988,32.76945787010013,34.27647310819665,34.740301018889035,36.05440220967068,39.04687054273987,41.24976001942212,47.15577054784504,45.69207893137376,42.9360345061297,46.826473487991095,48.66215156892216,50.26738667067812,50.91428320973039,54.36048360838782,53.23056666712927,51.19410089247023,55.59590151704272,55.9259354908655,56.88689768469579,55.893580943305764,51.16638063307079,52.90973217820283,55.5551259135107,51.98396299567545,48.71407194714775,52.451327041205865,54.18565264215142,48.69863226557113,46.84400804198198,43.314730060449726,44.495702518558105,45.14549419419504,41.947741985380944,37.3851105034562,33.85726191081773,31.80137503511841,27.42292517668938,27.44416722822517,26.69689085028623,27.5233470395354,32.25874440989593,31.644255386157305,36.156431158352895,38.3216895867244,39.06638500311596,40.96961121640019,44.537419022692426,43.90645005877268,46.60680594491523,45.08709520119069,48.199173691931136,46.46875613788598,42.55006655303788,42.04839516042718,40.317795125337376,38.46111433331434,37.25595991204797,33.89805353949325,33.29621487477203,29.557056687761445,27.65142512065661,25.35479287891081,22.017036145269405,20.78704123364612,24.804366707919765,24.831582779763792,26.142123141887993,30.347158535949013,33.50940681950209,36.09877957228401,38.227011815952075,43.98613628969144,41.88771528686469,45.70518246100067,47.39417659926087,44.86481387902023,41.85045703325889,38.69774538086993,37.42102518827987,32.98019185076757,34.56989417641858,30.96164718905172,33.22141761489271,33.18034312922195,35.90649477802819,35.088628388739124,31.314828440691503,30.006976275835655,28.442098366583462,31.36350041974203,31.023870279361347,30.417339247072004,35.57450970391448,35.53220318696481,39.04789809044219,42.13356688752059,44.464030957288834,47.597338279921274,50.78760329399571,51.43317813318381,49.28470663073941,47.72023047508589,43.41636883632975,45.18628281391072,42.16749391472537,40.21692143745424,40.28367382375484,41.72879172292864,44.007508777922034,40.43555197428757,39.41342149887787,40.82170691615959,37.14825076002979,36.16837799112156,33.83673378869028,34.65808207466711,31.05639365591716,32.830747870973575,28.35840162615727,30.99138136815639,26.851659435047104,25.258653376351596,28.647743607070545,28.581566157481024,32.66520572426589,32.414789924509705,37.0798315944561,39.576826140865656,38.81041186751573,41.01827543299956,43.4402580278962,47.6018972358887,47.78027101895143,50.790829002783724,53.91093415466636,52.71681950713958,48.814034614341146,48.16695659443712,44.72595986110008,45.68980243136179,44.59012312978341,42.87476305173361,42.07180082865702,38.02487692636295,42.42928006225621,44.37934001831546,46.42710392765058,47.892980084635184,45.15794571214301,50.85395724616554,54.16154869871339,52.42207184891195,55.056297514946976,52.709634162891646,57.12913001478319,53.3853949978271,55.338599066440196,54.69697671598436,53.71037692413417,56.291028012593195,54.963671100803566,55.72524990128513,56.911747618917666,52.782150564267546,53.7029166036026,52.047306383849566,48.57877672902515,51.541349328183614,47.94235642429033,45.28453859973915,48.578821219902146,49.38739289759906,44.60389857449679,45.15328437194026,48.36043638600621,46.72645006023101,42.59864974596914,45.16724269910394,46.48242293402991,41.98125434954583,41.78634701958147,46.158473732532606,47.552027831741945,50.52092298698494,54.00260833543923,52.884782264443764,54.54056656678877,59.421406621014036,62.79551749401871,63.79410352609411,61.80455897906361,61.314815057610126,62.535897708994874,59.138604459052125,63.813857923287124,64.4505122600617,58.79886763515699,60.41935131023142,65.19057078477017,62.343076276184405,59.45646628044861,62.21424015899279,64.40241128219559,60.661593979014285,58.07761739031701,55.031607693898486,54.10188457602221,56.62228213294745,54.99676952445666,54.54371229520379,55.478890125449965,51.56754710858704,50.65529666581491,51.813254201217035,49.29710984000782,45.71826299284292,47.2423003430303,46.720458762031136,43.59530943493682,43.747869237663785,48.087518130026744,46.11089999694897,42.377516949960345,46.67593163041382,50.06458897063286,51.1259815743865,53.361861487432655,52.480568907589735,56.935647293896466,56.49605510138593,52.155530268847166,55.56660236855378,58.39254282469328,55.96045954826067,54.948572193513975,60.81059319114295,60.921991255124944,56.405333733475175,58.36796743619031,63.38733603235552,62.3716875300639,58.947099380611476,54.62170291700317,59.26163007142997,55.64635877723671,55.128877306705306,50.0704305966019,48.56507762332198,43.648606867563515,45.44966201638934,47.23563920465037,50.90054415160337,50.4437121969053,50.298106107444085,45.26779942221652,46.47623354945602,41.593005183500225,40.2942128838357,40.55589778935927,41.65054652084289,37.393025145394134,36.76777591198054,38.61097109433126,36.42690485351666,32.21248419469545,34.169763194674424,36.304381519512646,33.630026717451095,31.38975847137936,29.663490144871062,29.87144970910105],[34.516125201547894,35.305492254201695,36.96912011686594,33.58039428490839,35.60214087772287,29.926164796817346,28.57668959616736,27.814402642308664,23.128180932079736,22.942152361161835,20.09869639272488,21.140192152949375,24.652374158281773,21.545225245155898,21.350776095660404,24.589310801859828,26.745655214445996,28.029152992747733,30.740699305423494,34.00633741312571,36.3025103310249,40.770543959143346,41.01749402998375,42.29746851484637,40.85768087243697,36.626107973073324,36.25400366036087,32.80939979412781,30.950303343707276,29.878846651987317,26.454723306344164,28.579151169096043,28.249980220268093,31.155750655730948,32.440435529119654,32.47923130906465,34.071225102069526,36.55595171156781,38.63713522333154,44.64709309897355,42.86922568065641,40.059274050322124,44.02869873927855,45.69877711231049,47.108473079196415,47.68227960312397,51.130968274485944,50.19233815831495,48.19472638650625,52.654215974526466,53.121853068721,54.22924014542156,53.3185119833916,48.5651587021495,50.58109861020616,53.035023603715636,49.28179151513384,46.257220263484506,50.079198230512034,51.527298243373394,45.982716664129974,44.303203684961744,40.934313635322304,41.84171939705683,42.33268683927921,39.261359578388095,34.455523088702456,31.082364490449052,28.66092868048688,24.417230370059027,24.1515322798368,23.333603894961577,24.538877779867214,29.253887213060004,29.039156139384414,33.814016019258126,35.92752542234531,37.05101229478383,38.87197078452297,42.32196469804476,41.91200224864875,44.45225505324376,43.241773959947,46.200260801279114,44.2160189099422,40.38689776534519,39.701110671557934,38.38132030058465,36.17366999172582,35.424213961973756,31.806214520370755,31.299445907611354,27.62371691205395,25.992859018778308,23.466086703973087,20.274155802540104,18.752964831577323,23.438236280178938,23.643715432338677,25.729799677579813,29.277045968331702,32.70572238949689,34.81123656184825,37.073570168115616,42.59582535781333,40.498947258852816,44.50982763762088,45.994546856835704,43.51913824933054,40.641076786220964,37.34242627872297,35.68855268674605,31.177070044857636,32.335036216647104,28.463070594569007,30.430862051350534,30.233110154803967,32.71887050072443,31.74761167760394,28.195571779302707,26.754643730512964,25.394152853721838,28.282681200430602,28.255643467801693,28.03814274935844,33.2453205774776,33.789096271269564,37.13258911828165,40.38978711163423,42.74363286236018,45.770677230459754,49.113264904984376,49.4695726937232,47.49571288779521,45.60789272453154,41.223308123854096,42.96516408104119,39.67004087341822,37.4756957701305,37.48714055180038,38.58164952535285,40.78967316054068,37.294358183485535,36.4643428377994,37.994429634797655,34.51341804966443,33.554478573730336,31.565002920007025,32.71418228497829,29.32963351668148,31.589463241942337,27.435387469556897,30.591939224808286,26.994749964875098,25.09493449409517,28.06494694683258,27.433094050687366,31.538968057806596,30.8407645506674,35.500046870483104,37.514006365910745,36.53442600449596,38.43616808868093,40.931119734195114,45.02144153549404,44.98378874285036,48.20730033784641,51.181487343822454,50.137591367766625,46.15772514509376,45.68636959571942,42.18777904261228,43.31509572193509,42.39795590608375,40.81205229828455,40.33560779663878,36.227834780128866,40.885509300475555,42.46501051584966,44.66655853064893,45.79032565283156,43.35712150054965,48.98181720285765,52.2029738358118,50.24708665724624,52.80413250528057,50.350108066294,54.65676826728308,50.668824462372335,52.71637078143825,52.11174761893488,51.34606765083148,53.967362472451335,52.727809684413984,53.62849894219487,54.92569549154842,50.84403525417497,52.026312677635,50.50269285299393,47.20193522369861,50.42907424137367,47.02920821171729,44.14323906945482,47.437944295259065,48.585540096276276,43.82262659910159,44.010007820913884,47.514762179619005,46.2999983564757,41.923900757725264,44.45002502562202,46.080121731349784,41.68781867607706,41.17669119996863,45.667196423237634,46.79249192121449,50.15745457201539,53.10742429501065,52.102726334406235,54.03072605601318,58.86231541163089,62.45500253763147,63.3455946277374,61.455632369242814,60.78765549270583,62.026950112525896,58.53430281548043,63.102547833861095,63.69164686804531,57.875622562950845,59.448520438215084,64.1185636679808,61.16527232278156,58.18540658698671,60.83281406553383,62.93905692932794,59.1862317431946,56.40971101834579,53.62801046398702,52.80347255656044,55.514362094866854,54.181288935497115,53.88172398681201,55.15099261208098,51.140175756225354,49.97976119968195,51.504910552705574,49.18663682166091,45.33891751778469,46.85424614919024,46.72706435795461,43.66647351287063,43.55788217960592,48.11339942721216,46.41218419698318,42.572326378718984,46.69979781808439,50.23309997272106,51.01880915672665,53.24400863235556,52.16657087479513,56.58451945637107,56.19964152180395,51.59567793305247,54.89810780368551,57.728129268382105,55.23303596584557,53.94984129176204,59.8742526663564,59.966514384005805,55.259791183816716,57.07815276659503,62.19174509704234,61.14525489959639,57.59567976803577,53.23150810369743,57.82527436887752,54.14491263453125,53.958438658332554,48.76510424330417,47.39904546454659,42.50598881914693,44.0179740133774,45.6892104393731,49.25350173963965,48.7386264612961,48.85438334584662,43.70167474367024,44.93835320189547,39.93220190601711,39.04727875550538,39.598516891454295,41.02824620766198,36.85178765737882,35.83621121300281,37.974090974267014,36.17290812738823,31.564887579867126,33.413156284672745,36.04734251427655,33.726675109406635,31.497515690156693,29.95107105270413,30.12823675579715],[30.872672974054677,31.360383493979125,32.71362586432053,29.2275843033274,30.981806010486654,25.408349767001777,23.892442366738845,23.23526124602747,18.480287674408427,18.222161476078167,15.509121796762457,16.846792198390613,20.212156144613864,17.04617849628252,17.36860786634435,20.633744556109825,22.587177947871687,24.328763046519978,27.278555701613673,30.47643777693997,33.076188516833376,37.555658218974635,37.945836608877244,39.08632514622754,37.353289077083,33.04504134443445,32.354565660283015,28.73285936027011,26.990060576129807,25.88327511462862,23.17358127929343,24.99086483670587,25.24301273194719,28.431403733612083,29.18931243084329,29.00434991463828,30.296735915322817,32.70372698645083,34.60898751335426,40.671971795639095,38.85274432215121,36.3921609428372,40.47082085687041,42.0023406115969,43.525690371010725,43.946474723753596,47.475594243859774,46.496133856887134,44.24183984625645,48.65880166811654,49.27624326560393,50.28561623950612,49.548781587469726,44.70618096494654,46.95168315560505,49.57445511577456,45.82653526930639,42.87910290056107,46.901760206598205,48.371865428259376,42.883019332562284,41.58381790619153,38.28688837038707,39.45964026183103,39.54629645084435,36.22467390037542,31.629425451103476,28.066501326445696,25.669620320410093,21.38733759660497,21.22652327063957,21.09732514584134,22.227958356054685,26.980788385181384,26.51554423756297,31.783908856190916,33.274912883835675,34.67207814693493,36.04927377573619,39.2437035859692,38.55165151987299,40.77585897444474,39.42040772486111,42.1780356068712,40.08038794937773,36.412390304369424,36.019059045002585,34.87888517366843,32.90656398305801,32.66126644706713,29.138454995832493,29.28653125045332,25.43694034734913,23.57310818850694,20.408126290767722,17.669562357270284,15.346520652091868,20.136255376479667,19.957088599337283,22.303071259704463,25.6307513644266,28.809507435038523,30.851547071264683,32.85339479359899,38.265798965198556,36.00341495199736,40.040352717068075,41.39463627564945,38.892348913564724,36.096533010512964,32.71733834304906,31.004826901544693,26.46265794576831,27.604309888593466,23.821220930859745,25.85745981073603,25.882927269477506,28.48283712485302,27.98058511310014,24.274377624526487,22.71534251409936,21.045825497311768,23.859170635657172,23.628226735539283,23.297960098603898,28.498197521033738,29.06829557775777,32.381424188750735,35.66094917844302,38.06547312700425,41.029426960441945,44.41086282861605,44.75155130636523,42.860580158784956,40.89050526838511,36.49396275263242,38.214108671359575,34.95889504989807,32.84667480340241,32.91008631518858,34.233490217120455,36.598309972412146,33.12891970764004,32.09538799334612,33.7131217441226,30.20955844675285,29.078503304945297,27.04930478107372,28.136319958950686,24.718802939961815,27.10213090582325,23.12157609672547,26.635647498880406,23.42222744840286,21.495632972136818,24.215766386280656,23.275174816849773,27.2786963574321,26.579095678687057,31.031732039620156,32.93763897782041,32.17292337747693,33.925242595200906,36.566845470484715,40.52550830581015,40.44502228511426,43.58294986147236,46.58410486926982,45.460437095558866,41.50261632229924,40.98778055843809,37.52408184639077,38.720571592695435,37.88016915695078,36.429630464897805,36.0548681980122,32.07340115867839,36.92077070862093,38.32120420974806,40.44413311148623,41.37378758045785,38.841730608108215,44.4508648067307,47.65960685998667,45.77132827676572,48.435166933418614,46.14215582755702,50.39580933424939,46.46004924753641,48.32598320646183,47.61350998507582,46.778749789955214,49.335301194965,48.036630444675545,48.90420359182459,50.17886423317358,46.090239469863945,47.301956008103566,45.81589681737287,42.550994151122424,45.872993601583865,42.554349593704664,39.5854799823619,42.920619576342936,44.20263886511047,39.4725766444279,39.59304148434644,43.21541750006414,42.18404296226842,37.776456591140814,40.35592604440827,42.15058147154209,37.8448964053493,37.292149800454716,41.88745207188117,42.8170451073126,46.34683246209993,49.01590370435797,47.93864232386973,49.9936881258477,54.72728041086524,58.49150271235265,59.23515544506766,57.32465147763149,56.52179101085046,57.73930038682217,54.189365300660846,58.69566351154738,59.279475690168844,53.39778345287741,54.9293589088813,59.561637225074506,56.593744510109865,53.56812436323689,56.172999679193815,58.28101371734774,54.548332047673334,51.6926429319853,48.98496337693049,48.171765221807725,50.94603504409767,49.73608900285451,49.52173592688649,50.9749764113409,46.9342909469302,45.61495500916708,47.34286518962868,45.164795037318015,41.15270657693001,42.66758759809022,42.80442094339825,39.80859822646193,39.55624719291625,44.24764198305917,42.77044089194171,38.92381634107087,42.941529806078556,46.543875621050375,47.12620546098057,49.27185361688234,48.03117184819995,52.41553798384758,52.12899315438382,47.38826755324335,50.57155550557551,53.448573052144326,50.972637453655054,49.51367838982005,55.44705293907535,55.6216344336056,50.85551804939756,52.543525535427875,57.711946957762954,56.74734286196969,53.17736065286569,48.85679490775648,53.5172400763839,49.920868798366484,49.84259163820574,44.60689433805767,43.1398414179452,38.28764058413568,39.826666496962574,41.33878622437771,44.86770108049794,44.21873073286135,44.320158008080845,39.09196259457832,40.266610419518116,35.23632517872837,34.50510769458924,35.120200449285356,36.72011564568273,32.60199708720051,31.393739023481803,33.733764961636005,32.15050026925619,27.306473999586935,29.220901372721762,32.157491741219275,30.072446662231844,27.86181069452995,26.470489073877978,26.612814700482478],[33.62930494595967,33.875032047435745,34.790692625807125,31.320186597789135,32.41865840906992,26.995412049379173,24.967931472001396,23.90322858327938,19.24264467576434,18.343368941906085,15.135024878391024,16.183950335619464,19.299541098037967,16.355199332082535,15.573142305452565,18.786807186952615,21.10962657801712,22.250092626105317,25.234151284031807,28.27369751697611,30.71934273867093,35.116753547683594,35.564241382972114,36.98316431526259,35.36981785829147,31.209654455921985,30.69581378687326,27.268485089797665,25.17659664480771,24.0677762742359,20.52613930669416,22.783023300483872,22.570473412474783,25.4249741913969,26.56355275964443,26.545841042919758,28.205262427277557,30.69846856649787,32.878390554472844,38.83172112220319,37.21392401359792,34.33286577299777,38.25270555257563,40.045643808672885,41.63083674203232,42.34318420027164,45.76904474120941,44.61283368758103,42.664089449647314,47.09964475534008,47.40026980041231,48.45640485049943,47.47828406147867,42.74031428693112,44.668613728051184,47.15683068262456,43.463842142228664,40.36328919905672,44.20132667574875,45.739246714988305,40.22317666161363,38.60134119971422,35.21111711267366,36.34523073369686,36.72276305196624,33.49528750929296,28.887449793944572,25.34695223623663,23.205478495864323,18.820135665548086,18.90551626344414,18.5218066283837,19.234135023353,24.008368502927826,23.40661102195174,28.387988007764854,30.194173894827475,31.395776789666208,33.04746086307754,36.43713145023037,35.99418933831969,38.53183307135953,37.40987513561031,40.40517567787966,38.45105684814131,34.54711956442783,33.78650547458388,32.47611235115507,30.25561606509398,29.63349673745669,26.022821504624876,25.821876094021544,22.043348997940658,20.350914576166307,17.60957429258488,14.560600463284242,12.884676325270117,17.83541509721301,18.319774564619994,21.123786797898685,23.930294654487202,27.78296367227963,29.393185405777054,32.02904426323609,37.39433180679472,35.63397576209311,39.82567568264075,41.40363196225551,39.281250409148605,36.27747689851687,33.21723872121908,31.077842813373113,26.73306482958002,27.66000710153626,23.516134119786148,25.62609350753369,25.07165047221318,27.84954070884272,26.6248546871863,22.801205205322763,21.731054886743188,20.46931463323861,23.88983774465687,23.92182498159016,23.94102720346088,28.99987435718698,29.906335072944927,32.84312625533445,36.10805126111541,38.046489093865056,41.398441356248355,44.58294117677931,44.70448472556669,42.5292152163973,40.79549279807296,36.49611588078057,38.72917151482107,35.24384034573434,33.127221006590105,32.715657447938035,33.98853151515161,35.87979869452579,32.146055543709906,31.3186561746038,32.5578842581392,28.97375314501924,28.24364891119883,26.23351623914423,27.592968406417295,24.53028077460258,27.104343162576065,23.237971804407543,26.55759007478185,23.819969807144876,21.181801210637673,23.54173319060115,22.484443766372994,26.684309427073778,25.503864073399637,30.412332901132668,32.30119128928742,30.96621579955752,33.157122887633015,35.39208379770864,39.700112008094536,40.02174226693804,43.22914969373492,46.34767327884785,45.534826738486146,41.59791066176097,40.98720118391241,37.338368671283945,38.109612451834785,37.02686371338612,35.28153235966689,34.831477036473046,30.604005555319773,35.24968154249957,36.761560899549266,39.07695936177696,40.2758405096604,38.11842442240097,43.708993762248696,46.907931378904486,44.81142644084453,47.21397947640787,44.62971061991291,48.99845279484331,45.07191188326557,47.25269076133927,46.798204386460824,46.07953933854725,48.85425548533016,47.79131071007757,48.84788605106411,50.38948374140878,46.52574782834226,47.82447391690849,46.677510560848496,43.29635303292154,46.849437263366056,43.48581697816959,40.593093542794584,44.24652516040593,45.561233628308955,40.927989193653396,41.30991349179312,44.98332441563043,43.90592375931677,39.76398493325246,42.50990273439273,44.34964540311291,40.093299662042774,39.74712591697622,44.42231596479708,45.20897415850226,48.736633181375254,51.27686689782549,49.991795314868085,52.07936102399931,56.63169122463786,60.55806656766401,61.06560450956137,58.896898781799436,57.88016856213031,58.868039142572776,55.11512375119279,59.53190038889975,60.39195445530794,54.50014263365381,55.73425572104922,60.45478543295166,57.67878035779367,54.476814914042706,56.84656696689139,59.247391684567475,55.68167839958516,52.425606353469725,49.98022049756139,48.7300464456167,51.53251767847621,50.53727451939184,50.067780260308176,51.61452487270502,47.3598144584728,46.27468571686123,48.29548907966784,45.933436599042764,41.96168744731919,43.855330015777085,44.07799186025504,41.14419772085513,41.13598159639712,45.86199402779325,44.46863029756071,40.84790447927704,44.9435382760373,48.4799012653524,49.00553378798872,50.89152258235487,49.39667934798137,53.75276605580799,53.80448571488207,49.051595756796836,51.9428195283007,55.040694225122515,52.72105802034584,51.00279480607843,56.88780053867026,57.36849067379094,52.592572200269906,53.97056976117418,59.247447422902795,58.53657949409118,54.975826496991296,50.77270603981012,55.54650886935109,52.099301139685466,52.15283415586921,46.89463788615574,45.23125520059693,40.46133279544065,42.09616501746193,43.350734971919394,46.798760676598135,45.869646202768934,45.87088579024726,40.45829101200339,41.26104847746783,36.21554880232183,35.8574540967668,36.07128516697922,37.828286303154535,33.502156539393795,32.56030550840161,35.329532642485304,33.682514727936855,28.68149024604871,31.16713080218969,34.210245972288256,32.06499512016722,29.803518287791285,28.32394270646921,28.146998778879333],[30.383290877872323,30.338356926944336,30.921046557895615,27.4458539713642,28.22190502760891,22.907433982550096,20.69490113163992,19.672628882756943,14.983418768486521,13.992667058778329,10.848327656554527,12.207811967371411,15.227801745247412,12.291096301777893,12.12452853884801,15.360920986321185,17.5238284425067,19.296264887812463,22.64894957024146,25.546634450795032,28.38370327858108,32.764028054074885,33.40312191824438,34.6674364963859,32.69486170479119,28.46264391607003,27.52516144170225,23.859113889527226,21.856307325460673,20.6211472661902,18.030458296299678,19.781551734018432,20.283825233944665,23.51756628967037,24.017252966895427,23.78465667323207,25.015858877793672,27.498133998403745,29.48416984956226,35.49251085617507,33.87080054347128,31.423378126430432,35.45889031277685,37.10794312096652,38.85020825686274,39.3891776613126,42.90615895694032,41.68292253849762,39.42461222082804,43.802814730613626,44.26450904269433,45.18727304349109,44.39904044586907,39.55775124422401,41.720404208686425,44.434101855872754,40.775600625625806,37.7365519714586,41.79419613762338,43.39272703157018,37.96170292050828,36.76857275562507,33.457319862627166,34.93097053238026,34.854990527403125,31.32644478544875,27.035507867637502,23.264366174922532,21.23535790950865,16.836150368072403,17.118360173314766,17.63983181325595,18.176874473021016,22.899661580557396,21.940639545172044,27.41866676859512,28.46644511055773,29.931860742096024,31.052328613587548,34.140172159779375,33.3224678966935,35.50119955605509,34.15225164832846,36.930202080778884,34.87536262024556,31.148069301809855,30.777467332731636,29.62408959362475,27.754655960995038,27.68651961743811,24.26261008013317,24.85662558564648,20.914902908076805,18.90638382915234,15.382690423230406,13.012895040633396,10.221456675307977,15.177357878073906,15.11064165258069,18.162587181482774,20.757021658262943,24.261875754006265,25.86307036731852,28.16770840237509,33.45053255679715,31.487324266667308,35.68964297964099,37.1470288213655,34.98512985849293,32.053419188783714,28.92368429101742,26.754232241779093,22.380818261226825,23.349585522704537,19.330177273711225,21.598715864424346,21.33348546754701,24.308281335612044,23.689506497419547,19.636909926834164,18.459876040832114,16.766977610816085,20.133238585868504,19.85743763761278,19.685317499477037,24.712922622814585,25.57209266899109,28.48327976315846,31.75012952938853,33.740560912609354,37.04154885499412,40.251943934226475,40.39978150378903,38.29249509600473,36.50802527084836,32.19994285239346,34.42058147226353,31.021226876066063,29.043661273061897,28.69387014006932,30.300503664835997,32.38647762541857,28.673818599016645,27.566059517841133,28.88930771758437,25.233782646223975,24.288906957422828,22.156233517743438,23.398174332503885,20.258762744700785,22.93627810638681,19.24951964576933,22.92862356564129,20.632395090218555,17.99707064224905,20.061835499631698,18.675527790168655,22.76054418533256,21.625413996348797,26.307788226641932,28.1478646048785,27.099301734543634,29.170645885560244,31.575347428755876,35.74737912813977,36.050223888380394,39.12756942825954,42.301062414114625,41.369039505056215,37.46792701673591,36.77970001188317,33.17565445952578,34.00263691430888,32.97907316437714,31.36996493490143,30.990528927721684,26.912755939546123,31.764692765037108,33.12094883752018,35.322973097372305,36.34535722239938,34.015947423866585,39.61243820690594,42.81553566107954,40.829862758457544,43.3773751004148,40.998770029060246,45.32643309148363,41.493528172118054,43.442130046686074,42.85282788213068,42.01687050552273,44.71163404610276,43.56418884903511,44.561477549427565,46.05741748691325,42.17360249832027,43.46713837370415,42.34068585314251,38.97796108059166,42.59642372094085,39.3007104285104,36.35057156526057,40.042512547884606,41.45630081936971,36.87065784767807,37.22841441861854,40.97514878854147,40.04591266152729,35.924656033943116,38.71780772144307,40.6812455369203,36.5322687953349,36.186297349646274,40.920764971435396,41.53258711122798,45.161790166045115,47.46517592213656,46.097620720140384,48.275827628046436,52.720982142464614,56.780400414001136,57.15726413984515,54.96800824715481,53.83963782559901,54.807553389332796,51.01622604955856,55.380178141457996,56.229634694297665,50.2961854620852,51.49860692573986,56.18657043957912,53.405222635498454,50.17274625257263,52.51590069265923,54.921436268792355,51.37728578997209,48.07141263344549,45.66839235423159,44.42310923915347,47.26822776227148,46.365064551752525,45.97449927768587,47.674495200176516,43.40994580445306,42.1791797377655,44.366074180647274,42.140543560115226,38.03107000384818,39.917205999172936,40.375527474116126,37.516554723481434,37.38328420135999,42.2057226880189,41.02245543097144,37.42708004873116,41.400898299783435,44.974748212752026,45.319486026718444,47.12104902020615,45.48643848764269,49.80162150381027,49.941955464241396,45.09178163010487,47.86667865130571,51.00272170047012,48.71400207707875,46.85208430879864,52.728637809363114,53.29007383462698,48.487501576771834,49.748003769382755,55.05856030865341,54.43306897180878,50.875200506956176,46.7341691456858,51.56734240144544,48.225985898355184,48.346513885903406,43.08797326007652,41.30736670293196,36.60542195607209,38.299729981834105,39.389940527186994,42.79873218460979,41.73749666209258,41.68601637172102,36.22142502603744,36.94466919570045,31.895833831434164,31.66502991955906,31.90148596170422,33.804545432915454,29.54531114775135,28.44503199632036,31.40334156953388,29.96055194911483,24.773536159715093,27.35466266978523,30.643452976025493,28.732635892571786,26.522975564914347,25.216371530528203,24.985805975769004],[31.099121329993107,31.18770376369824,32.32453162168115,28.133556010654925,29.787391307666564,24.96783164897902,23.13491466244313,23.21026565311126,18.29863616632718,17.084846701392852,14.780083524733222,17.241233964166796,19.2845534335938,15.266606428797212,16.263644352008725,19.71880615375449,20.668588651290975,22.246117956272073,24.446268052028188,28.108799316694085,30.412970509568492,35.0334173259896,35.071314134474044,35.896548082427664,34.38424723305517,29.98191871711873,29.64266886920928,26.199714642942425,25.071881670447556,24.733139582848256,22.25512378573687,24.78810172394903,25.58298458461327,28.357895570382855,28.706159479937252,27.807708982425318,29.47026539049726,30.965674817344723,32.58339834307627,38.77329784103384,36.402819324429665,33.94979209537483,38.151862327629544,39.34591376688179,40.5105126894802,40.74614467324549,44.28692466904814,43.67331554272914,41.44260425986622,45.935416889332366,46.83209513312225,48.066841885807314,47.50414595689933,42.64192722390046,45.3530998078414,47.66753693797825,43.64700964582918,41.14828026080021,45.28999500549431,46.27827097037882,40.74572274378695,39.782748689528205,36.79603693406988,37.50447536003347,37.29685126205221,34.219441904756344,29.268812108153362,26.042985614120028,22.97242691741197,19.079348432538158,18.29827965184484,18.121239540507347,20.03784867584996,24.607942395466576,24.89344294900604,30.49357007591064,31.846460172591286,33.83813161306493,35.04014000248675,37.97769528395731,37.61480136911814,39.51546345393864,38.62889055330614,41.0719257716202,38.57019788264618,35.13740501866993,34.509700961602576,34.0753193438483,31.610273465823546,32.138119722223855,28.304696237246265,28.623923373481635,25.00484521992534,23.638592389182303,20.219425778273948,17.950380741057206,15.219690693966866,20.739751714492986,20.754548592028293,24.00627761794035,26.316790612375975,29.661083673202025,30.998686593697474,33.038663626535644,37.99021882457494,35.67310260719738,39.894573034169426,40.871865068981904,38.40353121686978,35.916401724458936,32.313938669663166,30.140881697108135,25.55881154833955,25.964463691442052,21.881447852803188,23.292031942253754,23.159943640293697,25.21773325560838,24.604508498033265,21.406478845945095,19.46923010357537,18.139133856554604,20.672498325185323,21.006191621345668,21.35157413904768,26.552301154375154,28.04343572787135,31.08718598561846,34.590757951411945,37.10387473513341,39.7639491176556,43.39037224262508,43.326223338394556,41.79514940467525,39.278700631424016,34.78039090429012,36.300948723258664,32.669198789416576,30.14452773900202,30.231250164778693,30.9099190322827,33.25300166975805,30.009099267803766,29.2896112368647,31.20143416683868,28.105207148068693,26.939754918053346,25.56438030860398,27.133027760788345,24.116176457702846,27.161135168342163,23.822000037489666,27.967464997952746,25.53616929258777,23.448103587617698,25.50915964190793,23.801136063366883,27.631490702738468,26.34635509491676,30.567273352723063,31.64591841640861,30.657448398037094,31.75829599051645,34.58384470628301,38.30653377142574,37.76253311203302,41.22781108495341,43.93686252060826,42.99550132113797,38.9267651317475,38.740271540322105,35.256031950198924,36.81836572579391,36.34445398208694,35.18602647884877,35.35304881210463,31.399849629187386,36.576376042350326,37.36238951691453,39.659235409602616,39.98926440823749,37.89591060454122,43.32581977021743,46.36973137673218,44.203893405827245,46.771739408755685,44.38057348781551,48.39920417570873,44.0908310051209,46.0349284561682,45.333846609418195,44.8379869687634,47.394570966481375,46.192245595252665,47.23058588473277,48.60632067007097,44.573423847023435,46.15994862365901,44.80522934779947,41.869319508707655,45.48109863040218,42.51366482093798,39.23880335827394,42.43298611248533,44.18224083058757,39.53600898738565,39.041960923727,43.02823204618634,42.62316768010647,37.87005001410939,40.28268618150625,42.47517791503965,38.39031129528847,37.334106646053726,41.975290015838894,42.55609053763814,46.59108850363547,48.51478630645386,47.68483902688309,50.08643177984917,54.75423561240411,58.72987443523131,59.39280704345539,57.71218009038661,56.734616121297115,58.02707237691831,54.4350417168075,58.77169283785561,59.21290283912933,53.15727142483985,54.68375314168805,59.10785982847041,55.96077926462029,52.873755004099564,55.35309716894486,57.24790984294659,53.48211096679519,50.46718539233114,48.1172952441324,47.58324807472213,50.598768892564784,49.767614782197164,49.83238168531894,51.70185208358911,47.628801194556964,45.93221957217081,48.06838626747815,46.231077492262,41.91786284358306,43.29900459309714,43.939999577619425,41.06946146957594,40.410212509931576,45.290965399053874,44.170816217085935,40.19827569021542,43.890645186755485,47.64191929234559,47.871238541113264,50.04856864953887,48.63252985424288,52.918318958920494,52.61408069277967,47.57657740221064,50.64971475722395,53.43677237520458,50.85369805496364,49.09988173886958,55.0734401076232,55.128781066747095,50.1374470422219,51.68753045096367,56.91662190870126,55.83671994221672,52.109970982210015,47.73665113168584,52.242330309407784,48.52907991281981,48.90853000924374,43.54168148273181,42.37588339172983,37.61531008621572,38.64471597230918,40.04135845926362,43.390903299293555,42.74877443068451,43.287727161594205,37.99960290669148,39.30480335666303,34.169425731023345,34.00509934231127,35.1535645473421,37.16357223853634,33.31849940584116,31.506795737246474,34.09753499661289,33.1160114213066,27.924135460047104,29.443118306311302,32.9650726010571,31.444846955253908,29.35164366764757,28.280768922184794,28.465581855586468],[29.74545601412729,29.47833228016857,30.371347434890165,25.756152782624678,27.28091006480335,23.077900164065298,21.083858453490866,21.7639397767975,16.909307597306793,15.162960991469898,13.486480096869625,16.73055163504524,17.76654563051858,13.276045966096746,15.234373030000183,18.637705314656632,18.704092854545888,20.515007311492006,22.309057664305815,26.177013028804634,28.46277916113731,33.121437078199406,33.022842722599904,33.52228622770647,31.969752321775253,27.488170672955043,27.1537280540692,23.735483306089908,23.16400759875627,23.29299582573486,21.574005512040607,24.189509370700144,25.61900653767556,28.286466473167867,28.081931700118137,26.656454428547246,28.27313604300844,29.146564573133297,30.419387968360944,36.6643471307482,33.930233071340375,31.778865279305894,36.09576139615189,36.95813752934343,37.95288019929047,37.93840814113754,41.52890138347249,41.1428561821273,38.74492744999849,43.23029169575646,44.42118150382111,45.7182129810035,45.39228844930434,40.487281594127595,43.61618131058063,45.85206310379365,41.70142820546556,39.54491922455213,43.848795338969225,44.56386140365409,39.08980391016675,38.577413938285844,35.851541002510764,36.440667076509826,35.811346398135655,32.764394358548564,27.813478153842972,24.75071091378738,21.326989137879657,17.82661796596806,16.698202263963605,16.98556444568111,19.313086730073096,23.61414322805273,24.203272619817575,30.137506322768402,31.017273451301914,33.46127253299605,34.28160232682398,36.87335434654939,36.5105044944335,37.99237183212097,37.264368592386774,39.35953211259491,36.56694830318314,33.4382976480194,32.90336604662269,32.99868022463763,30.46508198187817,31.72714128463871,27.87614164118577,28.65985381949993,25.169910740734572,23.968329367952137,20.182233206124614,18.56224596878352,15.313870237840451,20.907649240103616,20.73765492556398,24.38922907020444,26.053184766180728,29.16960990968106,30.12269712245581,31.909798947612952,36.47517159166771,33.98727301648586,38.2496029499052,38.89603058860173,36.39552042729842,34.198255200165725,30.42060451497293,28.042293540773525,23.474159090358842,23.41511124635111,19.335598345517827,20.299457690167472,20.319813346979526,22.003795854047347,21.772884160858712,18.914538293139497,16.56666129279245,15.222503435967601,17.299086250434456,17.86465708746115,18.56189446919868,23.691766465313744,25.723394497030377,28.59731983971153,32.21179891333098,34.87097462751697,37.22243321718715,41.02067948059651,40.74733752948332,39.533227536765544,36.62550229741126,32.078223020915736,33.356777334644505,29.57756687662103,26.848052285744185,27.071734748683497,27.464850541667406,29.968335597746087,26.962421811404962,26.293035404785837,28.501136394191597,25.708407989716722,24.361229492307892,23.41358739391416,25.171694723956,22.403838618536305,25.809809580227366,23.02857066729225,27.60953624984934,25.787066280950793,23.780107013968173,25.34706262597067,23.13180456772133,26.65856061503382,25.1422982898781,28.94083251241012,29.442519618723868,28.552241912959822,29.065093164342617,32.133520527783595,35.54244687218744,34.617902977623864,38.20706043549478,40.72006596234863,39.79350159540732,35.68207235801115,35.694258216791056,32.272776536719626,34.166702564999476,34.005817309957635,33.161018483187384,33.71188861454351,29.946424205188507,35.36066368471825,35.67580584559217,37.97259871014558,37.80371782002263,35.87126754944331,41.14199108790925,44.06482178833944,41.82089321375722,44.42127272082604,42.12415995852688,45.936140334365604,41.45999481275941,43.28675161838657,42.49216990820905,42.14172088361938,44.6105753443645,43.3979074814476,44.480934403882486,45.85079156671067,41.83027805032483,43.6294249985202,42.32290145514451,39.64129593270946,43.402095404397514,40.71124176175651,37.23795201382349,40.286346674487675,42.35261163885905,37.80373719197987,36.877937914130285,41.0894845687666,41.14475154029775,36.19260345728867,38.47980367968831,40.95044320760238,37.075580140451684,35.69276499370904,40.34312016720755,40.64240928170867,45.00907599276688,46.376609873651596,45.6907901117372,48.32765958611007,52.90828519259286,57.034472214313546,57.616228832100425,56.101602772291336,55.00221436415129,56.354462749981444,52.76473021073112,56.9671010618478,57.28121043497222,51.130403663900125,52.67313219562725,56.92594134037666,53.65452209631497,50.55379994777912,52.96663195507373,54.68506422785018,50.899694892678454,47.83244153877868,45.69754462720084,45.406387615435115,48.56683136546522,47.981035685626864,48.284277082159726,50.44262033823523,46.404716430104706,44.39968395928515,46.79501559654799,45.25717317088542,40.74022382837684,41.97095703261087,42.996749690362826,40.250501604070855,39.26866743617728,44.257185419146424,43.43609802831539,39.407587498828576,42.81202017457122,46.64846741614607,46.59485877478933,48.7728277403256,47.23350279207692,51.42000100003547,51.102477954728506,45.87399181644274,48.84962535092673,51.555865139249384,48.9139253591715,46.95885786906186,52.93192285450195,52.91137526906551,47.791624040528404,49.238200962625584,54.48699962592646,53.34690739363496,49.53581739187092,45.158546430323476,49.566160335033196,45.82268836280807,46.49962232184862,41.07392030318628,40.07487590339637,35.42270044329391,36.1325073456548,37.40619422441259,40.619032513436395,39.96102142703265,40.7672219647868,35.477543409996606,36.87997234690715,31.722900704690744,31.927538194716718,33.47853441990599,35.75789011333316,32.195490176813074,29.923023583260644,32.64906131897867,32.15029631803944,26.781441607561987,27.97003653556243,31.89573232917293,30.850366753668204,28.89245155477123,28.122199295658998,28.357897278576896],[32.95576072341129,32.37515379998389,33.09490412552714,27.894553874399907,29.28668514209913,26.165359142440483,23.981657467374585,25.312470085198477,20.707607543709756,18.130975206573424,16.99884970716632,20.75238751092287,20.424229005130492,15.55343572012357,17.656485480336528,20.89354452994535,19.82114137306671,20.94056562191561,21.333934060488943,25.72382414064186,27.29186333785655,31.992091770173207,31.29680239190765,31.386965602627694,30.384933289862367,25.95930513891909,26.37863285411169,23.52419043367215,23.788947339966068,24.937162326533343,23.192132720541363,26.660041209957814,28.304285287336167,30.256811130567918,29.85674263420868,27.740382991900447,29.923702462172614,29.631194749844603,30.572008396072736,36.754499216148425,33.36216255060295,31.071886673621474,35.36943019349473,35.81552553143056,36.19872862448539,36.00697725889804,39.497781432717254,39.67026782831936,37.52035661524692,42.05248546048134,43.51427123330008,45.16067740661371,44.97033404950401,40.18979203811339,43.74549591082635,45.43328460185443,40.9834787458059,39.44039556900448,43.70421247429236,43.74535999622802,38.28711476771968,38.04421924513283,35.76531975098164,35.57365252103375,34.76088494632412,32.27890193473429,26.891091108728826,24.56906613163924,20.35325873120309,17.78307890292606,15.731968591985583,15.517734444276241,18.9092426036357,22.596305080250136,24.344804726038483,30.191318892543688,31.16918898137877,34.159847251177624,34.95895042225581,37.282281631078,37.50632680587261,38.71409829871822,38.68926576970673,40.45552041824612,37.27938583104741,34.45025444309094,33.449829984844314,34.3440212482883,31.139163716395647,33.06057678186219,28.92371745116728,29.56293077534959,26.59187121742145,26.13169180396806,22.61374286002528,21.365953774704938,18.41399869654427,24.244088452701344,24.492919359131793,28.737913064608428,29.450535610746883,32.80641507064349,32.97792158534933,34.931210637440614,38.89073295901369,36.53552761311992,40.90281003417,41.17389068600014,38.82703927856219,36.99208974422025,33.15069453493079,30.31346367376861,25.975083765526048,24.98921536050222,20.741388328375205,20.680545877127898,20.268508783705233,20.890119191685006,20.139803966798944,18.44294118051269,15.787224719935233,15.434828126257239,16.878978376190332,18.472273731072313,20.185874650496565,24.8918396798927,28.01183472269476,30.386053806261355,34.122387850225735,36.75706519003221,38.727894141995684,42.702876718630314,41.90580171774527,41.11167664476983,37.64176993480736,33.12056583560032,34.14890976987061,29.945309062535078,26.68871561076389,26.859908561273265,26.087656034095055,28.330452686424703,25.761666590494897,25.751334892279168,28.218190485618777,26.155238867524723,24.9669687161046,24.988277139978997,27.30315709156853,25.22161215560465,29.12461949129767,27.042309479699018,31.87465774943304,30.658638781209284,28.504671387397913,29.53651805635032,26.812122975957745,30.080013564333164,27.958357667957333,31.47032552862549,30.998595854521685,29.692526085604683,29.41736153742062,32.50694815041184,35.58026618950076,34.07902216674209,38.096037052925205,40.13371422238352,39.55813352659265,35.382461477554656,35.87426979557198,32.495732851043286,34.75545786866487,35.0261963533116,34.49152410157765,35.641672783256084,31.955723062900017,37.47681906403914,37.13235729361689,39.63890833056265,38.83738586203741,37.59873612677719,42.516151505611695,45.17228691709691,42.561703068029416,44.905667131980444,42.41667539180527,45.87466397042104,40.94386549332178,42.96544347143161,42.283086573908875,42.451131354908114,44.92267881576753,43.91672357157175,45.23969709512169,46.75268819552198,42.91117815330886,45.14753971773178,44.048803229567525,41.8050701965174,45.81276286893169,43.546731184129634,39.842716913941935,42.66235345185622,45.177438395108766,40.814690268542385,39.24996603416174,43.74457806895905,44.42786319559045,39.23190913795048,41.264560423720944,44.06761688524493,40.481123347936325,38.6047844384725,43.163738760732244,43.12621821100233,47.92654819916478,48.50479947696914,48.143652632447626,51.093610343052475,55.563831317711085,59.83105644574866,60.355402205974315,59.110459871484984,57.85932751288408,59.273121262861665,55.6811306313965,59.655928981736345,59.82534887009114,53.57136999216105,55.077368460383994,59.051089070472834,55.62604594869662,52.49742129617773,54.71868357732475,56.172191025497774,52.40379337812068,49.18377661879577,47.52720176658469,47.537197098137234,50.909617660067916,50.74706493511505,51.30735570989401,53.83771165969411,49.80898149022191,47.50268550239077,50.258047576907714,49.03599073540259,44.33604904818814,45.43528980722149,46.88370776719193,44.287574348945704,42.97650880710943,48.03425500776853,47.5147648263688,43.43290272019889,46.4951938224795,50.404743418379226,50.0478458978242,52.24433930606152,50.577901771003596,54.61069422961729,54.26377368046253,48.82722353045637,51.657028503429665,54.21948868441585,51.493223355268015,49.272570747389814,55.196926819498415,55.02207339140509,49.72839100706697,51.01232397785557,56.245454100375184,54.96273488929766,51.01913258339928,46.640091742308755,50.75282499767438,46.89734835604485,48.10644671130775,42.64041281715146,42.0696456246878,37.6367841718244,37.68963685693343,38.83390206612881,41.743379918785216,41.1491198023125,42.49313574035066,37.28509524293092,38.8042932342647,33.69190442777643,34.5345604697145,36.57865955067882,39.18770568234323,35.95919991824494,33.22744847109434,36.08728101388568,36.127824997979026,30.658182586668524,31.419430808993045,35.70579525749974,35.14062754262258,33.329304300573085,32.790761628951536,33.05293412300629],[29.650139578895438,29.721385009224498,31.336866917930017,26.47241631834403,29.068819690778984,25.147049860683826,23.909610413276727,25.287528969207482,20.56466375830857,19.44008232181612,18.40111003696347,21.70087959942776,22.80590424638058,18.26201766722613,20.80571415824053,24.14915667702477,23.797833615924834,25.713941913205474,26.953059568368054,31.074428705324546,33.10298605351764,37.78995692136454,37.36505207339547,37.49999976565235,36.1894484465406,31.69251479108646,31.581161961325712,28.295392936651478,28.249002931844895,28.626435455652054,27.214967081448663,29.794580112485303,31.319323484674236,33.9953138643947,33.728077357962135,32.134379476961655,33.70227228170776,34.23660123323167,35.21091956504095,41.45642214999438,38.34471877716283,36.4487582019611,40.81713916011129,41.32548053124737,41.96604547387388,41.63279650182977,45.21293822889727,45.26224861723189,42.768344808107535,47.216327357113535,48.78178427538187,50.18788749384265,50.09315633036981,45.1969533513262,48.662076949355615,50.764877413429716,46.47804092424505,44.644227948577885,49.001513150260834,49.41572763150304,43.972567100659695,43.65645541318845,41.11452434047455,41.36243785456506,40.62634413237879,37.814860052577295,32.67178906086108,29.91913861442835,26.110227749223966,22.997096876530133,21.43320829872922,21.340712557322423,24.264620395164123,28.355646558528917,29.48162136039206,35.35663033017565,36.35177969231079,38.95776095681637,39.77896350374602,42.25758335730374,41.9716521382608,43.23086052715843,42.54687479028229,44.394853637795926,41.40944512000198,38.55653589061632,38.11088820509154,38.48438439245737,35.8905994789485,37.36656104820299,33.45003107836074,34.11392711942644,30.728228237487563,29.637644525934316,25.90101386517785,24.200667007388848,21.004076377145296,26.52005187705652,26.116236303881852,29.378395234667646,31.433369033364446,34.11912660044154,35.327835886133336,36.64419412988987,41.10915746819372,38.19748605106203,42.271479753520914,42.57412566633879,39.691253631675785,37.86403177129997,33.74806334857236,31.799316668853784,27.16355748034661,27.075991192797797,23.47198451361222,23.956782313691903,24.446084637148353,25.44449451180872,25.6802271884239,23.486321973276645,20.698562435524288,19.397443344473,20.386159206516663,21.013456213507297,21.607456103614965,26.62660004280786,28.55665278941472,31.711469614950598,35.32984611153125,38.51782486877818,40.237458197177396,44.30631449155813,44.124176000021485,43.389169808145304,40.05163040469674,35.454651552904366,35.94255640658547,32.35419734105202,29.440028302524354,30.269205969749514,30.16691587499091,33.06642403307515,30.616337773937992,30.03930623929526,32.68857853752584,30.27918184771404,28.646968648775424,27.997132779637028,29.603152800860574,26.702125424077582,29.919790618424084,27.170236504404,31.814585300223428,29.521073657309543,28.176319845994385,30.072860031035088,28.018957782604943,31.31644350523292,30.147226190538788,33.46072031380494,33.737241922772306,33.26720423356194,33.105813423158025,36.53026474169349,39.43259308989458,37.82671064869455,41.47838207794736,43.60777572012929,42.4548199456431,38.330453932188,38.68230203484679,35.55628134271126,38.05497685075663,38.29203507547153,37.82109706315278,38.57556719718652,35.050861325743064,40.57358995889268,40.67574600567962,42.85592050142132,42.286157309942,40.21591503265954,45.355027553825664,48.18188502416433,46.036833659950396,48.78537620235731,46.692108020872105,50.2465903864942,45.61131747853659,47.2089509824729,46.200710351191795,45.93469232031724,48.14147171094555,46.74646175253215,47.68574992775561,48.7650587917037,44.552575105974434,46.384855290743765,44.69819885900701,42.356100075649834,45.841187177999906,43.36413837711542,39.7580465348393,42.234604083174055,44.37836532608595,39.79078882265257,38.24214090936147,42.435673103201275,42.76237485036309,37.36193939398521,39.245430984619205,41.73090518246233,37.907802619533626,35.98818153724468,40.40730875273567,40.83603920249099,45.34346570377939,46.630909839009206,46.448983515818114,49.12435413739733,53.94303453742305,57.81744947420768,58.76999353442211,57.749272858360584,56.93754948453189,58.62868057664993,55.34225415741382,59.58044190515276,59.47045518895818,53.34063889298256,55.276385859400705,59.296116394157224,55.718884968470995,52.88004424017875,55.53502619131913,56.73775847830636,52.73578829554454,50.20631419852461,47.89322416652781,48.30679827921954,51.47012926282376,50.723604504482516,51.41410145295362,53.51018708134516,49.768239290235,47.43744185281706,49.50323902035484,48.265962914147416,43.721818405513474,44.41055408344682,45.3799406327438,42.603311496416914,41.229964121382096,46.11599389527502,45.2244363800426,40.89604978705402,44.062024422232916,47.97604261210091,47.94893793681452,50.5161587573477,49.339967983947375,53.49640583666191,52.66602631136476,47.44137520736868,50.79431391041285,53.10213483137806,50.202894028241296,48.57970222469916,54.57139228377011,54.011543985907494,48.867969991522266,50.73926497762391,55.783620753788256,54.1770813474901,50.309397290675456,45.747923815876646,49.79995711045604,45.734533872721755,46.42600094259586,41.03918166593733,40.611158532323564,35.93938510615526,36.14359009071416,37.832980379425386,41.02796263387804,40.896918126138814,42.10731410852546,37.19313924221186,39.1905886727241,34.135773573412806,34.01558861083232,36.269213647322324,38.38133457435362,35.21984800093336,32.53453635590662,34.62312439355976,34.35638771351724,29.313174712624566,29.4822873855506,33.26139259523018,32.44395961028801,30.64085833072762,30.03937540072709,30.687102969708718],[28.931655393036454,28.58488413258129,30.080605432942402,24.623581038033958,27.42144844815044,24.819112965670588,23.7725354783894,26.176534222983797,21.93807777013867,20.507943878149508,20.536661991826023,24.400946124310156,24.329720222179514,19.662684645098867,23.192542659980283,26.2295131668518,24.7165919260119,26.81398174297142,27.225228446695578,31.501434002165563,33.30616863093218,37.88741207746415,37.14775779123001,36.662480744987384,35.45190465017939,31.023292868680354,31.03185876815096,28.019836233727236,28.93667605477461,29.978328012101496,29.60839111683683,32.17684011649703,34.3877340754957,36.87268225053755,35.95752127088644,33.72834832678796,35.174956913621365,34.76522597941932,35.122210766733936,41.24332055949148,37.55067006458076,36.2446744784229,40.655006680064396,40.53623433407152,40.75672185105257,39.924434357625636,43.481956184619804,44.05928077353674,41.35046154217981,45.666549041097994,47.78706842783751,49.305293775534174,49.63910602351385,44.791157395485556,48.893532161891784,50.793262995131435,46.3543708724709,45.15492238127784,49.66301149798846,49.579162030900335,44.337839515761495,44.700106056813866,42.61795056134451,42.578977057753676,41.27100719088012,38.670635970632084,33.625304962082794,31.309890913835137,27.117677108459727,24.823211042145463,22.81811525792302,23.126024399128685,26.523770455254194,30.01961238864549,31.644157354582592,37.70435059238685,38.14307324756041,41.292330663771146,41.63213428746794,43.58172138728035,43.335822827773114,43.941356249500785,43.50542307312365,44.7544401236909,41.370321318751415,39.115651110414866,38.831875281804166,39.97958987934939,37.3437368045666,39.746636310259284,35.88413170727767,37.02529895485381,33.898464360381226,33.047383731690054,29.060669240581745,28.03785697636329,24.5010210980863,29.850376343767607,29.216813824137844,32.706007031940544,34.08502002409952,36.301078300766406,37.08136187338922,37.88520130606644,41.68023070203903,38.45919316389579,42.408371294995234,42.098835538898165,39.08975873903865,37.88093888884911,33.521166921312194,31.53786017610074,27.134702817218365,26.37196203632588,23.254940356711483,22.809811519851323,23.712886852531625,23.710504469839066,24.73896025814166,23.518874718523005,20.226399440028416,19.095325646468538,18.661822656349308,19.640057455993535,20.67292081700162,25.126601345425144,27.727862217480478,30.59859840018085,34.2410221496039,37.76692962226693,38.70166570227007,43.046773100722426,42.590825013726075,42.54836408869671,38.53138494847161,33.985773295907585,33.70449957460018,30.10338238829485,26.885056545984472,28.21508318995966,27.376736854674967,30.61854947078159,28.936885751983755,28.51927766908803,31.6874084391923,30.000563095568474,28.081298273010983,28.195267692561394,29.91040530093463,27.450186290547663,30.90078370890792,28.99540803699396,34.001536814199234,32.36865996206592,31.336172231571638,32.70232645496066,30.185801881690253,32.909919502544675,31.61600908138863,34.08020401482076,33.46465239758202,33.31609756663764,32.03918976971903,35.83450081188372,37.96119507312542,35.49955931878233,39.27629330665482,40.859980538448404,39.65163322765135,35.55709913595484,36.386887343066235,33.60216993652687,36.798446954363136,37.65641256862248,37.793510862264014,39.1271583069313,36.046760107381395,41.75552601506283,41.15401439632015,43.238235793549784,41.83265021138976,39.99607166439436,44.72450907133387,47.27555514487243,45.10067041887579,47.89600609554741,46.060545480358115,49.138310074098854,44.28053683346826,45.57368992436463,44.35576734215959,44.35483342099837,46.2693675823997,44.81098987379636,45.73897804773432,46.6613451116106,42.467021340236286,44.60674803133165,42.86209831078791,41.11259582614096,44.62873699165385,42.708063058119194,38.84042668338444,40.78556581360258,43.39956638331753,39.050754049681515,36.60537742969236,41.04075939358834,42.17753822215218,36.42292409448836,37.882575743082924,40.74881022135732,37.364591317617695,34.758708417788064,38.97494837439944,39.00064430890306,44.007024086286776,44.34887452956467,44.62826389490866,47.64512056168928,52.35895097228587,56.311804656603734,57.28366770551515,56.730689891354764,55.861771390165764,57.757782268529894,54.63806550558982,58.6367365351036,58.165614461066916,51.981112262235435,54.07597315493417,57.68806794240041,53.835812574472286,51.127934356459505,53.745539605547826,54.43645542414262,50.36295304633292,48.028870262827525,46.01281761519942,47.09219754348926,50.41775259125409,49.98320845990489,51.16374372185485,53.619317203958666,50.096477580186644,47.24401388030685,49.51899736069581,48.8410393068635,44.087802548594894,44.3398273999123,45.81926244554349,43.26402230549312,41.313757406546536,46.21293430755367,45.741802326903525,41.312860336721094,43.896374203969216,47.89208633455727,47.457062593803,50.13708191400447,48.94184390977454,52.87423410664856,51.83024048121738,46.40368731232515,49.708388424758844,51.69188532786828,48.63640948708005,46.87016256747763,52.77766764329796,51.873701373420964,46.58915751531912,48.457500380098054,53.37279258525563,51.481258358762005,47.50097297734903,42.914915683869346,46.57384260416758,42.357005698445946,43.54836048197291,38.17359021313674,38.308740226281245,33.924067078853305,33.33508245138982,34.982748558366474,37.86602713505148,37.97354316805468,39.793626518072735,35.17812457947239,37.54816556708203,32.66793719130401,32.97469363967611,36.04823334351375,38.417315379536106,35.90341410396699,32.50614754225662,34.453911137779116,34.979417446846405,30.01282701139545,29.289982959736104,33.44975464655528,33.42467416452889,31.942913562623673,31.826702715575983,32.65755375631103],[26.55459740992978,26.891166447170846,29.187847637461758,24.29081138238014,27.995582996281236,24.53189803959875,24.26160665816796,26.41660898988736,22.169770342576395,21.90436645191987,21.77350145344493,25.079285116555788,26.200738972076742,21.90875867555659,25.369859084011008,28.489567171840708,27.74133783429184,30.258509943509136,31.436126534808558,35.48893469642576,37.666868329825995,42.27296182273958,41.81757294840278,41.55300862510381,40.08849226003294,35.59749335090964,35.21222403720249,31.85410614622895,32.285023933984334,32.643798780103154,32.24279651378,34.2147299449154,36.18478989550409,39.177333046026625,38.49198335091845,36.77045351294568,37.824886359928094,38.215908062071186,38.76331759651143,44.931420538785396,41.61905737623131,40.42214789996723,44.861485790164785,44.96892527098898,45.50300728032399,44.726496892417835,48.34668794156988,48.66546774758734,45.78003078449395,50.05729346147349,52.082996043488215,53.38723877069819,53.67333745217538,48.739146909052,52.599173589124675,54.85263140181575,50.57860692028744,49.00359353330896,53.538117099163856,53.856463464762015,48.57231131906497,48.71326224141692,46.328450489301126,46.68040394228827,45.56400883815582,42.667772241209974,37.7596867783884,35.03534174381115,31.198106160644546,28.33949756813449,26.73353060451163,27.02093403056354,30.03137234649017,33.95079681185385,35.04466356063276,41.10103915070444,41.666411105085196,44.42992110619217,44.88692599335366,47.066186775798094,46.44892264906062,47.24759277984515,46.282997416021296,47.73067914323165,44.60296202598312,42.190623815012565,42.25387182237052,42.8452718434368,40.649260313594425,42.531078104163115,38.8166252488095,39.88096335387699,36.428743190818984,35.118921960307524,31.07118745366903,29.651923326432748,26.08394071736287,31.163293875033805,30.147380691755362,32.84024369692988,35.258994886005105,37.05559805741247,38.657490699774364,39.10081408356453,43.37193644323502,39.84627247084157,43.55215143522636,43.4124080879385,40.05524280837117,38.730503707121954,34.285570287949916,33.02782629761571,28.453449919780724,28.534033350956147,25.822616377335045,26.02041032475975,27.36338634345016,27.92910209352559,29.303627619418982,27.46516531293121,24.296435769090387,22.582002902728174,22.342931009279212,22.532964294607183,22.61071632593055,27.276435638163296,28.72212625365513,32.19376037631768,35.666209261125914,39.47761582427684,40.40191563355451,44.695317156714495,44.78902301223934,44.614684177827804,40.92138796079115,36.3710108987933,35.8908547465147,32.835746080513026,30.03976137850342,31.6631248995834,31.555899831518055,35.092058925248054,33.25924550593523,32.40990997356522,35.50382353330345,33.38944243093601,31.279421319079944,30.727430766678726,31.889750174540232,28.798099817757258,31.614247703165763,29.096243395722293,33.779689894068014,31.25595236439839,30.82093661492614,32.87552064900344,30.97980913770221,33.78214062416479,33.21715705245236,35.69165200280815,35.84155615488015,36.20207974998105,35.328066042316735,39.21123122502756,41.41446672811805,39.1579246383593,42.58009248788646,44.37753519335384,42.759080786165356,38.75181694517591,39.32261052643649,36.670052173553216,39.800859464724624,40.45625926004414,40.47917095304013,41.371690364505085,38.33064060677299,43.94583336597771,43.83681486917216,45.692466961066195,44.67793578327041,42.1895236974095,47.13958737234743,49.867888896185256,48.0670674790912,51.13191208310552,49.53089184551203,52.79451841925467,48.243546463452844,49.30134997288383,47.90965655748514,47.50777989786994,49.287140228127704,47.56326557254531,48.190272234546235,48.808559800621666,44.363508379970305,46.08118260087596,43.90219814111159,41.95266640292319,44.99937468580443,42.805383598127406,39.12625401592342,40.88345415468372,43.05518664368198,38.524317808388616,36.32058925896138,40.38825081186035,41.04280305536083,35.257613176190475,36.65378461049966,39.135475461971616,35.49960329940388,33.016126523251074,37.10139816853703,37.62017025294646,42.22038624778829,43.3773516199281,43.70362236600337,46.386363923540564,51.38282189274301,54.96659131329017,56.28407116025722,55.817531280998296,55.32802144169779,57.39302989053337,54.506145148180806,58.74257044927881,58.131231528497665,52.104761118811325,54.49354182914722,58.21345984641923,54.331288637757616,51.84793773041236,54.80326608067124,55.41365680217484,51.202594824761675,49.39814530662521,46.799999735268685,48.03262612404009,51.1210684006781,50.15206861178298,51.31916137563805,53.33019617875534,50.021362511090395,47.28632883208245,48.93980857405162,48.144222418647196,43.60788637491482,43.61053266591742,44.58183537447967,41.86561708665252,39.99231388441528,44.69284556526997,43.83825222007181,39.26370936092042,42.012802347061914,45.962039022717114,45.887386412259396,48.83374865343068,48.058141769246085,52.10701501358484,50.7161082073056,45.55350705569504,49.272816208001245,51.10182640705291,47.96175156748681,46.740939258015985,52.6730344406214,51.53842737435201,46.45620465245355,48.795560783343,53.54571927315841,51.47062794245209,47.61467810364162,42.926611453800064,46.59703309490595,42.28219500224994,42.89209410989754,37.639894484385515,37.76428230031782,33.1706212446876,32.9054199779171,35.011910905431755,38.175101075711474,38.612284678929335,40.1425807145935,35.77005937985272,38.40182583189223,33.61338973685989,33.032375126004744,36.046450863210744,37.922395984201465,35.38063755838914,32.221890076161394,33.51907066312347,33.63531720897042,29.117029363615842,28.06045867534108,31.630979083590788,31.265089009980883,29.779328608764835,29.550131045910362,30.66951722279544],[24.96842364873649,24.78116978028019,26.830355465689877,21.46133540622714,25.28872811437516,23.162262860955952,23.10502761805,26.14291079918842,22.50733094717189,22.053281205929995,22.87687764839526,26.550023974383937,26.673066719809132,22.493725890683468,26.734663740404127,29.504951418168698,27.864651080970813,30.643182425751164,31.334255334625887,35.32557651873707,37.449517830679866,41.87988512408468,41.30085983586242,40.54786035897132,39.01798248814271,34.64718673034481,34.16697997972105,31.002002846359357,32.17376153157993,32.96262001299001,33.60713461496505,35.37508124976331,37.97150343265143,40.871351251402785,39.56988629511347,37.377486145784786,38.17037891401583,37.867846532186164,37.865979063035,43.83686178156031,40.159211930062625,39.61923982470838,44.051812642728684,43.64295553326621,43.93936610583261,42.72588599244539,46.31527156756524,46.98112424796744,43.83045473080513,47.91098260233734,50.40039380672481,51.70180989084989,52.387000667871156,47.51168716510761,51.87594823413336,54.0573686911046,49.749835662563996,48.665369162405675,53.33092615476935,53.331448304031746,48.2927470758304,49.059343483814814,47.04070841579985,47.328006163910075,45.67863718368512,42.85443463296572,38.22542424223979,35.77012398294089,31.81876972928616,29.573901978314776,27.792650226794983,28.590376783824546,31.751922746721988,35.20440078597287,36.47418900239995,42.69824317670543,42.6492493820181,45.81219852198259,45.766589565386916,47.44612009633207,46.72646142071867,46.911040385184776,46.04535325962374,46.93871614604613,43.53033770161129,41.688227107393764,42.0291295397207,43.213665157378024,41.15916537265666,43.81827338548452,40.261987200559126,41.851966070282415,38.571738873408904,37.36444693385422,33.06414198599797,32.2804027174763,28.39277844221718,33.18466906964007,31.909024868592947,34.738002173381375,36.52998855172243,37.80258696268057,39.05205571396817,38.94951445370634,42.5776501956451,38.768253694097275,42.286695353606596,41.58908655484158,38.129889567051265,37.394348624997534,32.789565718778405,31.58892535625496,27.328120114596807,26.89786841255251,24.82233681725385,24.317132888980847,26.145158660134946,25.9873353262401,28.257124024139678,27.099815480829463,23.63751665915069,21.92245556347783,20.449064562963848,20.687742697965483,20.946244494705876,24.930709082753154,26.802989522819413,29.988801062340162,33.39541986884853,37.49281792201959,37.67913513934388,42.1678636588478,42.084356742731465,42.52857344042941,38.309758417661634,33.87754693057663,32.66557433999412,29.766847753725997,26.872708541157767,29.00143636888727,28.50247045274357,32.392446091537586,31.244035954514164,30.37974874819889,33.85749630815797,32.329152373492356,29.940923674624802,29.951924555988704,31.081432880363554,28.396402745949853,31.308485711844256,29.626184491073076,34.556974963504594,32.76113458367804,32.59491288494215,34.09444437558777,31.816918453758376,34.02384031028675,33.42643797023415,35.046386421685945,34.474256221500966,35.2477504496524,33.4465856198055,37.63071957093425,39.09275398887844,36.155603208414874,39.53114470472309,40.881751833170924,39.123993125639416,35.21958146031726,36.142975005906564,33.877657667230146,37.58025262878754,38.757118084999256,39.33011262511436,40.67301854744959,38.11347519650747,43.81812451336865,43.12848308559627,44.81846947964528,43.102900048329836,40.73536158166341,45.279455122273795,47.75725906423508,46.02905328516745,49.17453241047132,47.90331580004761,50.740594661384705,46.137157640432214,46.813462588311275,45.19046299722366,44.92745712622399,46.38792822740782,44.56538954762565,45.11974732334288,45.54496900274328,41.12303374641038,43.05309911646197,40.81097401703137,39.405220618724485,42.43601954615613,40.76921201500129,36.89382442234043,38.14712455593077,40.733722515916945,36.47800827684039,33.474679749065885,37.737306399492766,39.15624465944983,33.12152392139982,34.125992380189906,36.97395702017823,33.81579759118053,30.726609745552302,34.611606070580166,34.69089781238086,39.75292575517346,39.97392406288648,40.679972937357455,43.680414972006,48.52273308744839,52.209889060609434,53.48674459620837,53.41339315402479,52.842800677996216,55.066270204525274,52.33504452039457,56.326221002209884,55.404394074171094,49.35832361240211,51.87018842192701,55.2117452917169,51.110837008120676,48.75760691543733,51.67429178331729,51.836257472381426,47.58287915979059,45.982626689221355,43.633684953966025,45.456646034193774,48.65791207291337,47.97235531059309,49.57772542432344,51.91290912227665,48.82792286866641,45.632431239672876,47.483672539746756,47.2190815381928,42.52235585755638,42.13314333592065,43.60774836574042,41.14456163906929,38.75028211749541,43.43479947569725,43.03001600977285,38.43957551489714,40.59694757399927,44.590539186132226,44.09362122881173,47.08214138854689,46.25240470048013,50.060941795305105,48.52347248011084,43.19142419863504,46.80901273570142,48.3531027203709,45.10356279022023,43.73041537910321,49.5533141450752,48.147611935517645,42.95908636583907,45.265604014423126,49.890172194825496,47.59940559093508,43.65940773896507,38.97812248540873,42.31911212839902,37.90822422337654,38.96687254834391,33.734578006184336,34.332566251454885,30.052089067890105,29.071524408108655,31.09931765468445,33.96896681269109,34.60240646801271,36.64426460884577,32.58678576751507,35.534260117346555,30.983039826401708,30.774999159431985,34.50335848684971,36.60157635571712,34.70994351181004,30.93098345171172,32.10139581036752,32.99558400820293,28.610741157903814,26.759281536574456,30.679801817761184,31.12120828483998,29.977875379402125,30.24352824306591,31.46365938690771],[23.17010170306788,23.47026934491429,26.331408455067475,21.53993382144957,26.410494703595205,24.580192018490838,25.545766509660286,28.82579748386516,25.750850343515452,26.20569558709744,27.363964354494883,30.673991046222042,31.22061064498836,27.4701645043325,31.91782233052024,34.55047805883347,33.04038587549709,36.174111921108164,37.086733650071736,40.89711611126599,43.19328616660441,47.52932123279943,47.04321094961076,46.16102322477527,44.481816014745725,40.17269226738138,39.41958550390019,36.177347889782425,37.39370903624387,37.91192154216123,39.02081348923266,40.25511580692443,42.947682422107,46.15684885204692,44.74015231462771,42.69384573624527,43.063142520438774,42.974748538735426,42.798611179294255,48.626562594090714,45.03183554899571,44.948366279753664,49.364359088033,48.806004977002004,49.14595888526748,47.69791651829515,51.27551201090784,52.0108178864094,48.6034348632648,52.485295712989426,55.19888943005346,56.33910685412976,57.24524355186751,52.377838046379075,56.843472983999405,59.2255805747465,55.03023031193191,53.97500824184033,58.709754990815746,58.79962094618127,53.884668098077256,54.82101994603285,52.79590536440028,53.2747504655051,51.50153417881788,48.5542665931487,44.13840412283808,41.581644145228324,37.78472825724545,35.480059167858315,33.837577318358576,34.74333182937523,37.79199400169943,41.298343710051554,42.365565317348164,48.63458208542008,48.421602154878926,51.505976552636426,51.312412872262286,52.8957727971892,51.862046379168504,51.84351254517544,50.630088934803695,51.333349646556236,47.98859461344919,46.39162770176102,47.14676162094996,48.237941139480455,46.58309105620886,49.24079855103787,45.86833736314279,47.61215887020976,44.20314021712484,42.740405668297235,38.32527465965512,37.52818676678338,33.53635348328057,37.954848139111874,36.27254313027368,38.4447303394748,40.76466667467651,41.33982774365733,43.08894801339863,42.31617460302737,45.89521966747538,41.65511203915305,44.72597617279996,43.77774513570887,39.93704549078886,39.57141027111521,34.867388330562854,34.480173897786116,30.418534245240707,30.41969143704368,29.148543478680402,28.732950876953165,31.09214252145971,30.90306953509567,33.795890135836586,32.6340083453966,29.161794514845344,27.148861651125692,25.228025556335027,24.930889067081328,24.5185457664813,28.01568600317674,28.9974315977722,32.45031768406066,35.52357836384469,40.038940814402594,39.60440043360372,44.113100360640935,44.44328798148976,45.24939947124681,41.00531876465988,36.765836889287314,34.79102321097933,32.64519341784479,30.15281098011081,32.82664137201779,32.61052649485064,36.85380799019108,36.071243444508305,34.92404914001063,38.5235172671276,37.061588596417145,34.41263077810906,34.244242498001114,34.86735911535182,31.960080322516767,34.25903179801311,32.592047901759706,37.23438991985264,35.060100704732385,35.6709785235871,37.4526513094091,35.56021450578324,37.422401593389395,37.46638591953555,38.522025097423075,38.16110797101128,39.612140409070946,37.57021318859106,41.94899600303135,42.943676746859325,39.71987666084836,42.69394272532494,43.83720239797155,41.62389474490624,37.978675728117395,38.93921920784868,37.155839403847445,41.149820628472206,42.50255437435668,43.34197041856588,44.582495289491824,42.39495742439364,48.00636590936645,47.37445231970395,48.741597912982485,46.9089734848065,44.08016199854386,48.462723115898804,50.8830059040047,49.56542781041158,52.97222816281971,52.14029855431653,54.801064055440754,50.44930346426137,50.660872910308264,48.73742288552159,48.2389422799432,49.30234067966359,47.17755869308495,47.36788670768548,47.305960060716174,42.72211207770745,44.35167354424579,41.60392420646206,40.50434903888339,42.90751418001288,41.437464097869814,37.69423335824487,38.2068569609293,40.58721590386349,36.463458943650416,33.04906761282985,36.911283231812796,38.43603038250542,32.249103116374535,32.70628082877605,35.32945731647156,32.3993869797308,28.894102249172082,32.228951271198355,32.55268910586655,37.43810852266685,37.778514133981815,38.99747685937401,41.82502385991832,46.833858015654826,50.06354797019793,51.777416535639425,52.24342204093731,52.10074457317083,54.67398959979138,52.4148146331077,56.419338017395305,55.030375917577594,49.23830112984312,52.19468471575566,55.257709405899575,50.953422415086685,49.03648117365796,52.27118753195458,51.890913849606505,47.486087115208285,46.746168685804925,44.00036568962705,46.52722426099652,49.511200131165616,48.46881668524806,50.4314358740178,52.49941708054217,49.89954201553927,46.48980266870717,47.743533806316066,47.81280832050916,43.31480935843341,42.27721670316867,43.54600927885901,41.15349186765819,38.42304076524625,42.7368558171208,42.25556091196434,37.53731604226722,39.287220968251425,43.19316748717007,42.777117074520795,46.13110010678897,45.817629097076704,49.48724454956439,47.35951145550198,42.292401292242886,46.29722161685182,47.320875932031356,43.886180923653804,43.10529938443562,48.75723491308333,46.763355270677955,41.81244775694826,44.669128495576736,48.87096439071119,46.11539611834958,42.308864669060796,37.58027260836033,40.46148304999817,35.86112790534742,36.60698352838527,31.701671661704964,32.8629896949803,28.77217544919063,27.430203032192654,29.974325552223664,32.79494583711249,34.0951794386627,36.272542370351886,32.96716678727751,36.44804883003439,32.36011116184976,31.459602053206886,35.64260807658329,37.296022393988444,35.976106301417225,32.06822980072695,32.28751459298572,33.34530142001454,29.778126567044005,26.87611812753626,30.183269156663943,30.914091427555753,30.11776243614063,30.651057006800592,32.247049131333085],[20.702763648392686,20.325342800049835,22.583372650228178,17.37787692464682,21.950999722293666,20.884559666444893,21.763461623487665,25.450581828672195,22.814384818592124,23.115336590633284,24.832116661499114,28.253278254387155,28.18098756580759,24.707949864363812,29.52179758016738,31.835782849903655,29.9264963395621,33.289376502840184,34.18823483881456,37.75115684343277,40.18237827307993,44.342718530604245,43.98414821213772,42.96026312517328,41.05536740278082,36.85144136085428,35.82674724923456,32.619801133101994,34.10212873289817,34.71441119652338,36.545720287622245,37.477502434894596,40.55061146535042,43.735497671681316,41.91749671792879,39.6944686449956,39.78176105723463,39.45190093271428,39.01109944418297,44.66532093750742,41.06395705830643,41.406050248048,45.775581879058855,45.04485958216117,45.45753159398153,43.85963548215345,47.43475360264946,48.13317681079926,44.53573784979974,48.27435479455497,51.12060183920434,52.15024321828257,53.2323647710628,48.39889917501574,53.016224041446016,55.47621688896068,51.3767047857903,50.46419980199598,55.25311281450709,55.33681393496525,50.61037905373596,51.879601217700724,50.004462500905774,50.670183616142474,48.59110596727993,45.5489053971959,41.508300400974605,38.9756007033314,35.36914870288439,33.326298095359995,31.807558115408565,33.21682966053672,36.05305891493539,39.31556370757174,40.18500344726415,46.52647736045804,45.81399322880005,49.027500397612265,48.466520618937054,49.74193351708395,48.524250631478154,48.166066839282166,46.911317616052436,47.33215722445632,43.92304253234465,42.62299973292082,43.6297163987096,44.94280823804677,43.53706560247713,46.58152455417845,43.43479615678157,45.599077749717615,42.26850820565262,40.7787713304471,36.21560184842966,35.89297753706695,31.717470400459554,35.769431263975164,33.91149594676845,36.16973117907866,37.98783977530038,38.241830337399705,39.72898536617047,38.66740262980262,41.858523667848765,37.54704550187692,40.54304796723295,39.36364435967501,35.566891599643384,35.44236051038711,30.729638451724856,30.285996991149275,26.457534358104578,26.218048968303247,25.37610315986621,24.727546265628668,27.401958896029207,27.067343557487565,30.5584819167831,29.537604822032186,26.059075916394498,23.903529155293914,21.434611900716526,20.936688541909298,20.482053965277846,23.541414661000942,24.72039779032359,27.954421619823446,30.989875845329966,35.54541684552291,34.87973506424033,39.4321971234454,39.66570920533476,40.664251839394616,36.270074656598574,32.1056970931002,29.92944307142308,27.87204063442251,25.463915040384908,28.329777627961725,28.25942117930861,32.6827810531333,32.10825859256907,30.78956682400363,34.469239384846624,33.21253984544414,30.423910732141426,30.441574892962958,30.97860411761609,28.346632631868314,30.691247194994308,29.59290863916708,34.358399299644056,32.851782780161386,33.458918245844366,34.75725423944106,32.60862639815983,34.081935803140155,34.08740847708257,34.64874979175203,33.953729904507384,35.65617602605674,33.268326260505674,37.73902336547185,38.420353062740055,35.06103066083703,37.90902090829615,38.997707251694266,36.701822618249544,33.10715379426174,34.095399277964326,32.45794189684537,36.59904635374071,38.125578981030735,39.199430182253856,40.61478437524756,38.724914005076876,44.307704568354886,43.41099252632922,44.65422648364049,42.54539768040374,39.75240936761411,43.93639229497975,46.25399949496891,45.00881038844353,48.452786310227786,47.815289574414976,50.32462298450135,46.08193698843611,46.07639271249837,44.05156421538855,43.52342866055752,44.47716816388081,42.318738914460134,42.48789942272254,42.40863854967129,37.85776189962698,39.58977118959537,36.934421072478784,35.988312389557045,38.54279459381337,37.28325062606842,33.42578682314937,33.91785176473828,36.57170343323603,32.58105609054105,28.916224043720277,33.02524463866743,34.93279159040378,28.72327141552635,29.20787975797514,32.15557283302898,29.44956789036455,25.815117782408944,29.31590250626946,29.223093099789917,34.456727046764485,34.22297146757563,35.330414945980074,38.40890280415654,43.22872038674922,46.76626702975017,48.202841161062956,48.58897245665191,48.20293864524033,50.69777273214155,48.33834669896476,52.20539462515012,50.854305147187226,44.968926220031044,47.81699641179567,50.809773800154346,46.498797568928325,44.48925197074927,47.6138895044886,47.24942134513855,42.88026652886428,41.96621830054095,39.409322710653655,41.977603481559434,45.054786107826985,44.25720591407035,46.32288099323456,48.64821685277895,46.031385224074114,42.44929008688547,44.01595164226951,44.28431996622475,39.65236137812962,38.62153791215504,40.285313883043635,38.056890704808524,35.153096143202184,39.58884409936454,39.4590104659713,34.8513979280328,36.38154535751961,40.33211993514572,39.59799963909622,42.76868440767152,42.18198691665488,45.75703784260347,43.83610365346455,38.56868523037999,42.32890616625355,43.438131176724326,40.04796932643607,38.93061758197723,44.595793625517274,42.76217838817851,37.66205253112269,40.27156479647489,44.60334878005608,41.99327555431742,38.09795684708996,33.39253164210544,36.421656167055566,31.89713725588618,32.947594224530384,27.855216770983283,28.911422651051744,24.89964922027451,23.40543012329338,25.673046204855233,28.43048356403429,29.522241869911426,31.814321760402823,28.404443981734648,31.860887538385214,27.811101154992826,27.27433051309631,31.678669335437238,33.58370874678225,32.510692356554934,28.311890677930116,28.76906618710819,30.27199904698551,26.58003817254483,23.575531375252595,27.323631062877144,28.51951779552812,27.8657998815601,28.676549188388066,30.19059694005886],[23.493648787059982,22.987331364928377,25.17591549729956,20.07191379445257,24.574850424434196,24.499938822942607,25.469851800194384,29.418696247175813,27.057189936616304,27.13388246151607,29.021920278469583,32.56897770653266,32.07822931899049,28.57211390766273,33.44865931269953,35.682477547125536,33.37127610310304,36.568834694771745,36.95224867508992,40.57962891058901,42.73339564317619,46.780002915629666,46.17729310592164,44.829982709306705,43.136674146658976,39.09355375006976,38.29239739122191,35.391969401816795,37.29908885960607,38.26586908831699,40.26559690910825,41.37040091416408,44.57914159120739,47.57382597558031,45.60663895178379,43.122207464499894,43.29068136042412,42.461194723508285,41.741898267966164,47.21119521465673,43.31100481490338,43.877424825346246,48.170548933534484,47.09663026600505,47.17204431910391,45.31214914496873,48.76676972591508,49.84816344641896,46.26300483081503,49.84946580449359,52.99125930655522,54.12806514003833,55.42667740863784,50.71956096336756,55.6249265250468,57.86419185123594,53.69594876479275,53.17513831031299,57.956297223916,57.699600186877376,53.11598372294124,54.658453661807215,53.040331951038596,53.42652436605479,51.161512434722894,48.36285060280124,44.31150556007915,42.095186389585024,38.29428482762179,36.64044615557788,34.88723156386054,36.211894537283285,39.30618441314807,42.28508203239427,43.50982993972475,49.80486436995808,49.017503704389924,52.45160632406501,51.78320610273664,52.84307974529155,51.77311516353695,51.144889746950085,50.117885595008,50.239019566188254,46.659540242136245,45.679580714650996,46.64466587217818,48.338088263651315,46.79949024293513,50.176236175585004,46.99295968214723,49.18477432944983,46.02041362098258,44.72862431337955,40.199306734638526,39.994203157800555,35.846436899791826,39.968697886335214,38.182278015489366,40.57369143782706,42.105561745323435,42.287514014477665,43.5238872308536,42.329114296328406,45.115568882419794,40.75943658559048,43.604385979138094,42.0760426680066,38.2967315028765,38.57602953608423,33.88938418573102,33.45469804361544,29.931956612766676,29.308453356920214,28.70535828840716,27.569241584996927,30.226405985853038,29.29375307802782,32.901500886235226,32.471134300960294,28.92728022391088,27.088952654571575,24.140472100822535,23.9575583581348,23.83872264060896,26.305991947977542,27.82521603680721,30.69633970082684,33.58595565670451,38.20601789545144,36.98352088311056,41.59494080241432,41.637653860438256,43.10937026575893,38.36902898040953,34.405595315323346,31.69583472523274,29.778618313169595,27.283013343118583,30.365581224075623,29.689034411561835,34.106202582289015,34.0961063555108,33.009635397317844,36.85125446199665,36.071731498611086,33.28290321981174,33.74288994393674,34.378617028503136,32.08199621501752,34.480791696874206,33.75255850731839,38.52691692868305,37.25004974145505,37.91341297087223,39.031169035563,36.741360337781174,38.003169891116464,37.88799320936759,38.108812204910166,36.93520171237011,38.68174088378034,35.73778300757547,40.25978029519553,40.44158893224099,36.56158337526855,39.41818830213211,40.0062259086389,37.726508558627756,34.30517454837938,35.66689737667169,34.375723160190454,38.85845740515848,40.73963463992359,42.12650435708607,43.83928454438704,42.16655356746107,47.739474750073484,46.48969128341515,47.695352451224906,45.14785147241525,42.60647649267445,46.43175389393168,48.51281527434216,47.250105198329535,50.63671613767052,50.13431977848047,52.27978311919678,47.933037422714186,47.75694508933775,45.64571077960634,45.345826141344695,46.06029169367663,43.90844495412892,44.05453914384345,43.82239465659244,39.40067239328207,41.301892398509665,38.621392443292976,38.19870418449652,40.61823747374916,39.814610017802714,35.92577305500048,35.901132506884764,38.77989424064793,35.11679095825082,30.864470588288455,34.91201734410479,37.35825071599478,31.11601696459466,31.13204377506123,34.18768451406215,31.952368468459067,27.894894285157132,30.906055770868537,30.558627124462355,35.955215224299,34.96897510837832,36.59088865162611,39.812453511153905,44.479584925498365,47.888005070607896,49.4290787341877,50.28219970824127,49.950412844841374,52.61112010810489,50.48750690086816,54.121627674539255,52.454638338258135,46.68185325089006,49.65910730109725,52.24918775559619,47.76569763952102,45.9724348120557,49.04482622636677,48.188887624207126,43.82415754442729,43.22776697365543,40.92726883671156,44.030263421615786,47.12925288063583,46.524776406953634,48.91304540436294,51.38556085721894,49.00231658197756,45.1623259053864,46.74729683234014,47.37836339299519,42.76195662251807,41.416937503432315,43.30240059235965,41.26214930087702,38.06614220202095,42.30988611502815,42.405467289313734,37.845930352179224,38.89962479060999,42.770971889439814,41.81624800731489,45.0644629762284,44.580551658134404,47.9024505056877,45.75444575587525,40.53044102747659,44.23551177321389,44.97312396846637,41.50051714277243,40.425753593142275,45.854695070634854,43.644764842084946,38.59819568904989,41.26013472782045,45.29662969059411,42.37128932338857,38.487285029840294,33.86965369640992,36.29550459901779,31.657465348575723,33.10687227574129,28.29758624753443,30.033220707045505,26.5300392529402,24.239344473019315,26.498910755347193,28.794840842191125,30.263519003821692,33.07477432892437,30.214207382605462,33.899803944677515,30.22762650449328,29.94713630954886,34.73809992464515,36.67648919054349,36.05339616295143,31.629085133793176,31.862856092703105,33.76049592544423,30.356494851186216,26.920196461697724,30.567467074662076,32.14113953622048,31.68702906604803,32.65677004436627,34.18646647531604],[21.273448250334486,20.530166938995535,22.633587336834683,17.906075465788913,22.577943800045087,23.303428284474307,24.75943295691868,28.93767749411492,27.254664702180754,27.71642000183417,30.033421300951694,33.3579707253377,32.749082028698844,29.737895541562896,34.815403444724744,36.74677550882342,34.35298010811865,37.846383296862406,38.41773393327289,41.714241920459166,44.071384150426695,47.917830295119536,47.50100800130617,46.052460183500365,44.10336941438309,40.20453046159527,39.039338857934396,36.132593825031414,38.14096470268751,38.95481016946697,41.62287906348002,42.2047290786453,45.6583148628882,48.79773060167601,46.54068044652687,44.08696795721906,43.814378951031465,43.02227108233108,42.06857622810793,47.27434942148783,43.520831877861106,44.61368397512708,48.822114109229055,47.603521594893074,47.81279910739917,45.77462233668849,49.19534298951847,50.21178461922535,46.37581030570201,49.7167768259218,53.01080466208843,53.93676450767956,55.455288333743866,50.807476276834706,55.79285670359965,58.21887943625489,54.235412221972865,53.779273570338,58.599253570232584,58.44587729003301,54.08440423488807,55.901397291282976,54.35231407527557,55.02020324766657,52.524158756295314,49.57402407951235,45.937876879704746,43.65190534569303,40.13753985486862,38.569881681033,37.02662558896322,38.712346773887234,41.54304753568833,44.421502157177635,45.33753805841628,51.661590072538885,50.46932484321245,53.883578326392346,52.904144613080085,53.72143557566265,52.32944074410292,51.387290509265966,50.107922625143004,49.95186438500968,46.43103283975792,45.78113892530769,47.15624274766351,48.875271997081384,47.771937280372825,51.327283119080676,48.43123589530236,50.962569282876174,47.777565425706285,46.31474923042694,41.67402937866233,41.74799613900218,37.480301769574936,41.11265283157688,39.019595826406764,41.06575841909228,42.55104207299631,42.13057996892461,43.471525379601445,41.71917927688228,44.18456203929944,39.59551562651036,42.065671698245055,40.2568693653271,36.34359253412182,37.01212830085507,32.37811613794044,32.416413258173975,29.281211096948,28.793604968029626,28.94790563560874,27.803336020875726,30.878506803708383,29.94736660338368,34.18388046060461,33.752070925250855,30.300513129907532,28.22811457998905,24.88750562265197,24.252109854604896,23.70787456669439,25.482809616712725,26.505411860561367,29.27996712044948,31.839834929170955,36.63781937443207,34.894451109806425,39.45716696843812,39.712277295857724,41.502794781187106,36.75136602119892,33.05202217844382,29.793317716223253,28.509511319321806,26.450525980977766,29.8836749046634,29.59120866263804,34.22646511038471,34.50488446934061,33.12458215171109,36.976960262015005,36.333849550428695,33.36818540548999,33.7895670918286,34.04679121152508,31.85217571678742,33.85711440328705,33.528920501868086,38.10897716282642,37.10112035476266,38.158075140633784,39.092984501732374,36.901235855341824,37.695415532555735,37.928420561950006,37.50675899608496,36.29173777512169,38.577257398890076,35.37526110804984,39.97657352582361,39.69506371456693,35.67452004268359,38.10702949684168,38.558628282226,35.94483148537965,32.802934906982266,34.14139404949567,33.281959186783254,37.91890099281317,39.9629877067241,41.623230836187446,43.3382507964908,42.09935735727279,47.513768292539865,46.16777219390535,47.07732420544011,44.34301409566157,41.558615086223845,45.10761692532538,47.070624656733365,46.14127400292238,49.68642887802515,49.59121414582122,51.535659464135655,47.4980082727319,46.88913373491636,44.55124955492874,44.05801416859008,44.43831607464241,42.08615234230431,41.97056545728167,41.41084029961537,36.967210189518866,38.70159324014389,35.79708720349294,35.69220624478795,37.7742584300833,37.26929820309565,33.45986489256876,32.93106287627535,35.83624283882644,32.443553520373115,27.810214600314392,31.69435807694743,34.48212447732476,28.272963122005862,27.925305162166527,31.037550150517472,29.211552408512294,24.872876221740366,27.54308982967202,26.99043476949441,32.47645941007039,31.070288761254428,32.937439841699835,36.21335718334068,40.783941248545055,44.11716011761101,45.70349997737467,46.823741237371955,46.574335356442546,49.369859669959645,47.48263610177645,50.99156473707366,49.07933203346072,43.45272456893776,46.5989680673048,48.94407870831161,44.369678127911875,42.804127761386475,45.9764048016514,44.79918160807086,40.39697523052198,40.24638977769549,37.84438392161712,41.38515523296072,44.37056191927646,43.72515936759298,46.379938394143814,48.845608223015724,46.773945508869964,42.73143545985448,44.15680013346914,45.13110788505389,40.60892275153558,38.892616242899095,40.9216788812078,39.087307252665795,35.61497344666226,39.642506577305575,39.966372703031944,35.504911327227624,36.10252203167929,39.888219554776164,38.74073761036489,42.02764914178648,41.660310623320356,44.77943612839292,42.44655047518537,37.300777582110335,41.01201632212991,41.47353931823523,37.954172788721905,37.014104855522014,42.28379662484217,39.83537348485035,34.877725356737145,37.685006823425226,41.50856498814681,38.4145674750996,34.58052720994417,29.995816409797914,32.2029675916114,27.529289983179297,29.006901910132513,24.340215886963186,26.39028290086734,23.2111858613142,20.525348021234507,22.866849493614467,25.00728928513158,26.77085662553686,29.72365232058072,27.381790742848246,31.313698348164703,28.087240830278308,27.643084587193393,32.748548854343895,34.550033597286756,34.47616002696961,29.890590576820355,29.70295761400148,31.991030234846853,29.102235607091597,25.090826612604626,28.548348513441287,30.60838511580654,30.48353481415506,31.77432234048314,33.399284247277414],[20.631593919330736,19.157047954982996,20.34191751192903,15.166084637299816,19.063655023938594,20.62282351299109,21.71912877649486,26.11506907108396,24.780408065668198,24.90029208998045,27.55866789843317,30.94301415402851,29.727793310243502,26.974059110067383,32.1613688298188,33.80162396201188,31.079050931179907,34.617009111961124,35.10504410243302,38.16667292993965,40.56620862394582,44.232424758620745,43.909568166573855,42.37776571030775,40.284012419623245,36.516362211671655,35.184056693529705,32.3847847146426,34.60754799928485,35.55901546551283,38.69860736264396,39.13534502005341,42.82758361150739,45.83498739182988,43.30410450161098,40.69947760266549,40.2827244993528,39.228666204673715,38.07507925522381,43.10632941653047,39.347450334211075,40.7202100194605,44.85213086438263,43.515356081468504,43.77490889669063,41.66063580062733,45.06350193574235,46.03253085790111,42.10113923171302,45.34106703641928,48.69466955992839,49.56159996380153,51.179920020311734,46.57981688763921,51.65407519586636,54.0871984301062,50.18021710086832,49.845316136144156,54.665224334717145,54.48667321013601,50.28471246636097,52.329789533054914,50.92010681132587,51.69211742611886,48.99321172108926,46.020468004303936,42.698491653473994,40.492618562798576,37.165938436094905,35.86716301254157,34.431800321038686,36.45617060477522,39.081720685493906,41.70021820743494,42.486325080749225,48.770323918235114,47.22486708554635,50.724162210708194,49.48857821100971,50.06378775287638,48.601526789872075,47.41698439765157,46.19678921175147,45.832066008668605,42.2573995498854,41.83147340359626,43.31955263092964,45.241169319006545,44.27045908343318,48.10986186232681,45.39210887639662,48.193450077164954,45.14051709340085,43.73243129524995,39.07885269319078,39.524617372387915,35.22995470759186,38.57203924200563,36.46600087451699,38.68740137043316,39.62252717006517,39.09903237865575,40.07724133981234,38.2484043815315,40.34696106774906,35.83134863353471,38.32438093583126,36.36218775822133,32.61289451314414,33.42845948869871,28.85892397982846,28.642304517186016,25.770754766655525,24.924495653660376,25.362940862293147,23.957723834611166,27.163751356099485,26.074902847161393,30.68087721812646,30.4156854808297,27.056447333904487,24.99870740411282,21.285561610858565,20.590839876655043,20.185004000663636,21.450374232130766,22.90523850546165,25.306079351583847,27.877168667946563,32.586046495665926,30.74645776214912,35.34908098286585,35.386916702286214,37.28898964234139,32.38610516429043,28.736804181447674,25.417350511991604,24.058877966264262,22.00815640336171,25.526308689734748,25.28648413689898,29.989685825571197,30.426024735757604,28.96607600347065,32.834229337520995,32.40576003826625,29.408070258659613,30.066890104155434,30.35276782831255,28.529436811208775,30.674475165888925,30.86590265532892,35.52739007496815,35.166642071292166,36.023196030931686,36.487929051377854,34.03462486455289,34.55114059156932,34.597102293120564,33.84994924761973,32.26065413791226,34.60695517693853,31.12959304971655,35.738784092486625,35.24309093860929,31.13658151586771,33.540314615804526,33.96659031923433,31.376999812553358,28.21824957081968,29.604980698255474,28.804509426023518,33.52606482534544,35.704927280841446,37.525655802869466,39.42233904274595,38.3833294431783,43.74154710864899,42.14834700169049,43.01816363445666,40.06019503214371,37.4469128006535,40.82489889222197,42.698909445385354,41.72369817638485,45.2387263751066,45.21287171566887,47.053938955526014,43.05804389043588,42.35697368200958,39.996809416299996,39.54655967649284,39.91021695911602,37.59928512296029,37.56139742695246,37.1150002132579,32.740175924195974,34.67747071287321,32.00964969124515,31.9926722216791,34.40023579889318,34.05418112605813,30.114488287279567,29.766057026947028,32.99545256903322,29.72130947734021,24.9801402639755,29.208385189929874,32.3061358950627,26.197189463270114,26.045263412164967,29.488829339636084,27.816279553940475,23.582399699104133,26.53340091100712,25.52196383153651,31.309212030976365,29.358073463403333,30.92732474976177,34.46869462547651,38.788869230775184,42.530661836307026,43.72179280952574,44.58675808187705,43.98684636808428,46.59707313890757,44.47748588337392,47.856714987828944,46.12440851319364,40.3383168313862,43.247058953532616,45.610750276718875,41.09103808719658,39.30136548482552,42.27433134328905,41.27196716549048,36.941079049733325,36.35393443270368,34.2640585122595,37.650249367354625,40.78842965593036,40.48104580854189,43.121383131827535,45.8863434818405,43.66777264041097,39.54739148851725,41.42084186880073,42.46644475883061,37.80092429727095,36.28618843699632,38.70603412650649,37.00664770747235,33.519353467757185,37.7246804000529,38.35972132123125,34.076608437166264,34.61490692096471,38.42876636864482,37.00026093703694,39.989643360865315,39.226104610353126,42.29053766453865,40.33740334152317,34.95578783549233,38.30351387568003,39.0076506876675,35.60189275517919,34.154130344463574,39.48277610849486,37.38127417777642,32.20913027903936,34.59001580218245,38.68001075271091,35.88199923789086,31.91332333632969,27.370238583498057,29.88298872781547,25.36654428010192,27.268361339975108,22.329667864399656,24.0702764147347,20.967274464985223,18.225504034377103,20.042618128407614,22.100303177514654,23.4218176808365,26.493736815879206,23.836136789451277,27.593330814894493,24.317437819220398,24.47349554160114,29.635529768039707,31.77773121875268,31.787930260252708,27.02845885547524,27.317234145907662,29.931805042536546,26.786209204874986,23.038246105938196,26.97186221673036,29.294332093618713,29.192516402952634,30.601406118550102,32.03533382202535],[21.893738556681487,20.683899199847186,22.00312644408013,16.406822535122508,20.16432395382492,20.676032077698924,21.231909210033002,25.39403239039227,23.318262154615642,23.047432528533154,25.310168559405994,28.942663309442068,27.85200565856978,24.585493974253037,29.640708522085212,31.587591154284524,28.965021505375024,32.27913642179702,32.67920859546401,36.07000371461258,38.34601249931806,42.24852376340734,41.79559095297497,40.41531184707267,38.50913998361691,34.53973364494693,33.50584965507661,30.630010206724595,32.7016697227231,33.758043367091304,36.2627456155331,37.17639046937359,40.64544965823745,43.552581227145666,41.298614957713674,38.68558584664876,38.68128089538343,37.66454212696292,36.78555908338412,42.14209637947596,38.27688483908622,39.09428801172181,43.34769829689708,42.21406638282999,42.415715558329154,40.521833790228854,44.00252818513092,44.95539369739655,41.249220869793085,44.78391863150148,47.93643499012856,48.98900750592942,50.3534308800456,45.652061754502505,50.61084997652923,52.91027284041962,48.82346054812934,48.349658978541456,53.15091819227613,52.938077710945514,48.47988856835952,50.224218550690374,48.69855606961468,49.26319859140536,46.79858274679285,43.9065859039635,40.17958515611695,37.96909867116503,34.38535689746144,32.93967059216189,31.33873540735648,33.09028404788208,35.924501866394294,38.69017797394559,39.700819982718016,46.003504885017556,44.827494399938665,48.32860205753009,47.39242411415274,48.23558173291989,47.05006648163749,46.21281591318906,45.19823714584218,45.16285268855061,41.5452984766541,40.7286330682234,41.8267624801642,43.66951904898037,42.29639556508857,45.93779425759503,42.944905075777314,45.45051810333111,42.380386469702096,41.097980219728406,36.5133430591954,36.708794581834965,32.48565953191112,36.292652286248384,34.45987540147413,37.02807931532848,38.02312479734904,38.105105373600296,39.00772294468139,37.75518995591786,40.25088711531344,35.97149843311191,38.88526851178225,37.27620090739826,33.660918444208626,33.99580140787765,29.355940654819978,28.63359012430192,25.281365531102185,24.342298157923057,23.940706430419127,22.60369656377211,25.426709788668443,24.43491729521865,28.457740171327924,28.082654664514383,24.597197560390086,22.681357612364025,19.364560844624318,19.080403585600187,19.080416158391834,21.232159294376423,23.182559709928736,25.76746670325258,28.72950049508633,33.24391522406458,32.06616888335499,36.70436923428781,36.56171125285335,38.03516137116257,33.20946641980859,29.232190477573482,26.61579441915158,24.533702073775586,22.006413062133067,25.121171149567722,24.600479169096463,29.121362525731236,29.1409726816329,27.92082511539456,31.778455877147223,31.11671497495077,28.273941370447382,28.903748228213754,29.570539167838778,27.58092222471133,30.14804202442278,29.893973915733955,34.78343123616407,34.15815963367582,34.60365992546341,35.24853628527434,32.68782616168339,33.70174705780935,33.40498501830263,33.359454756220416,31.88493552895302,33.678557295969256,30.550056297934344,35.09465883852745,35.17604910130788,31.315508163498745,34.17015504571698,34.85182959295653,32.61061361307876,29.114892238235946,30.44321245074766,29.103394726418216,33.605571920415635,35.55162489889561,37.03859360680761,38.88898543331619,37.36988803316526,42.91234161175875,41.46840901684135,42.647141876016185,39.952010768383474,37.53459018331985,41.27281562458923,43.31723965815473,42.004454453628185,45.370715940222325,44.90638017396277,47.02867341242632,42.73368639668814,42.507536200443425,40.3948822397223,40.09841599841987,40.856592274956455,38.74902843512214,38.986021805646345,38.91071197152912,34.53954565062805,36.607436314815786,34.17886258225589,33.72114289737391,36.495365709369445,35.750710412208285,31.739064280952373,32.012802659657076,35.15749026447889,31.543425754590317,27.31932665935651,31.706731390362908,34.346046267468,28.204012862831807,28.502709457798847,31.86009632559068,29.68727273485581,25.79483898890175,29.17259313456133,28.43511603168055,34.095807216995404,32.73233025322712,33.96820344974494,37.414897994944084,41.867353186784506,45.69354041869856,46.831520559908554,47.34641081297669,46.6596267421927,49.1028189467531,46.705351689558434,50.25191826746948,48.82804792227502,42.88512248867789,45.59621699166186,48.28325586735256,43.898386766548306,41.84296957331948,44.72337744990253,44.1461239483604,39.861169073515214,38.766547778059774,36.72398019502877,39.547231989535916,42.7909224989028,42.48366957401557,44.79064936426786,47.53431668689161,44.95896826735148,41.090756965409476,43.12122321008631,43.757476327468055,38.98953253369663,37.90715081482011,40.144951049804185,38.206132871796044,35.0430695669119,39.503085585792775,39.874527330547494,35.47942370534935,36.55317550079762,40.47093773765893,39.273501388942805,42.21468182825018,41.31912081169067,44.63326376987504,42.90348370159401,37.44235192573734,40.800459069320105,41.84736723743732,38.504844653026055,36.932328133738764,42.45817565179827,40.66309972638563,35.41130457505476,37.64657714916536,41.99104893419325,39.42178504452626,35.419819949324825,30.83909231948647,33.67302371840359,29.21967844154544,30.9669232816323,25.859552929182442,27.158035194285905,23.618351154816835,21.464474002200983,23.240328221569047,25.555832174273316,26.511832343338124,29.298557648327677,26.005581924525924,29.4484303,25.62498498175029,25.893558186263597,30.655717070918822,32.93610996601003,32.30378290683335,27.736672254257485,28.503646569111158,30.660129916180313,26.925494970116358,23.828473935754847,27.990817916386664,29.779469098674667,29.317466556750833,30.402196138888776,31.729788770467856],[19.901885744347755,18.124887981257775,18.60309070084801,12.681804137314703,15.651797742038903,16.467484792755393,16.67879947231765,20.976236706835515,19.27291799089063,18.902960873214326,21.553854257170755,25.0879610275205,23.63114965023726,20.797460002018774,25.991214940187906,27.615949111081587,24.912654704003792,28.49244009441583,29.230618510948624,32.26806963576258,34.839571943088025,38.60845411656829,38.4567058223302,37.19667497727225,34.9410212625667,31.01208054089689,29.55629148519966,26.53791326361061,28.551911745319433,29.450919939314794,32.495137925999884,33.00125487248539,36.67873051474199,39.63911350202218,37.1476715483195,34.57536855471575,34.25377497808892,33.34853180134486,32.41317463748679,37.696871323576595,34.06456833908308,35.122737655400385,39.351199122629374,38.311976193950095,38.83007415468097,37.00044140166002,40.54798828853312,41.17896878742418,37.301649492131084,40.799461386035155,43.84032203392497,44.71833339741957,46.0751382832488,41.33210111159491,46.205205715147024,48.72029314165577,44.78759594433717,44.16919770029806,48.99926504098785,49.02118164935165,44.65719216638343,46.49451400225027,44.93556048528176,45.8566418586337,43.273253397732276,40.151492982410346,36.82564423687574,34.4516476131498,31.256853412097175,29.826996836789554,28.550958808763195,30.770703203750323,33.15709007402612,35.8365259201969,36.40403217292922,42.703543417732334,41.153297361804654,44.58019986403937,43.40051292433137,44.10729795158687,42.66687202494279,41.710355565719425,40.514548449974896,40.42340998575491,36.87752712121395,36.12402991174194,37.475324057304846,39.25434056815938,38.21003087825843,41.94125652133499,39.21094776394097,42.03591784809487,38.97138589545556,37.55932667356581,32.9115098418365,33.45716625942245,29.170465172325766,32.4995279526095,30.514005161696417,33.05152083898803,33.713286026447676,33.57060549563095,34.344512502857974,32.94891465560751,35.31707243033659,31.04905078651619,34.00545989647319,32.4311540978409,28.905240567095255,29.181965822726454,24.573808380820505,23.707051686426208,20.454670420940406,19.454021147744,19.37394456473636,18.112607886725442,21.25461185929371,20.55808436370962,25.065378545698792,24.422290945212158,21.090579984274843,18.867625213615586,15.347952861180138,14.586537962394988,14.350238829398974,16.29128210093689,18.355677323681423,20.848494561755604,23.883003756804705,28.33678420849003,27.359929052786594,31.99085952766103,31.84996985540589,33.157672596769004,28.42786310131844,24.37554225131236,21.985734485760503,19.83380978522515,17.45487921123476,20.60441848764481,20.733836738993876,25.402654725258316,25.214560272475147,23.64564077704823,27.431461977003,26.650049875833638,23.695224279641202,24.225652896288313,24.74993929970238,22.898247466339573,25.478141492583052,25.593346342965962,30.50041326320383,30.407776711805607,30.749401350998774,31.017719327439963,28.326919481065353,29.085261258011613,28.791905138117436,28.493957804081095,26.986009286450596,28.969112213618992,25.893809945245,30.468446789651587,30.60365158672394,27.009415097716722,29.73834470756171,30.75170357729585,28.43955871779726,24.85048259867718,25.923463016351764,24.456336965271543,28.846993716219227,30.709237912316343,32.199279365283004,34.016274269386514,32.63958388274245,38.124031560549234,36.670729272360795,37.765059977031584,35.118908093657176,32.59265785989276,36.386769724622745,38.50255348640465,37.24288947510121,40.68355276360587,40.29054359369729,42.53079501847288,38.41764618766287,38.11603796830647,35.98311958844355,35.503697732481804,36.34202346561212,34.21235736876946,34.469101089457794,34.523022239236425,30.111952836985054,32.187020893747324,29.93214358284642,29.240085156599296,32.3049999197851,31.449134066045428,27.373750789981838,28.05904154002898,31.30436836307962,27.652302669019512,23.70473592073852,28.334527095428143,30.918970939755607,24.95926632548443,25.646416309997623,29.158083958533442,26.93887596133471,23.41037962648907,27.163750907111964,26.21050397339956,31.914299962520293,30.55602597973108,31.26575521376829,34.790251913577144,39.08688769937254,43.2519834720804,44.03195088046558,44.1153285280115,43.14916626757504,45.36258278917655,42.69353221126343,46.25249024764013,45.122273181512185,39.0375854344088,41.50408752811274,44.41183436976624,40.18217711427037,37.86424325464243,40.63642304055368,40.46369584065269,36.24985153727278,34.68848470123416,32.70232271917237,35.108909666222004,38.43266556418107,38.26132061289305,40.40001152973848,43.28579315211226,40.517341215747756,36.70931509461446,39.05598101989883,39.59853160969772,34.73381879964763,33.94135464295101,36.38636787110293,34.50123963314713,31.46302476339276,36.106720778182556,36.64279947468434,32.42528523661658,33.621762464145235,37.554569472229446,36.23834854974329,38.88448892628373,37.64100638840465,41.0115245331726,39.68951924200175,34.07435171204067,37.15776544843858,38.56966375606849,35.38643268538748,33.4323755937075,39.085521692942834,37.76599286591735,32.39196245840271,34.27072713825621,38.9337671078284,36.785311705301396,32.73891220328254,28.20866059221257,31.587977676651516,27.40899826909639,29.1503304278349,23.810360339296274,24.430013002576477,20.745981706876734,19.116070773895068,20.431833496971123,22.93007195573909,23.283689004336164,25.759891359689668,21.923089274487733,25.06549590370662,21.001947646160808,21.617588995047097,26.21610363828222,28.745051653585737,28.026190399025914,23.413619330719772,24.672736835106758,26.943818064161174,22.937132532263757,20.265590796781677,24.824502498808656,26.702919889061835,26.226651494455947,27.38905837509367,28.528312884484475],[16.762074658952333,15.60403538505489,16.895995695099156,11.255151977751854,15.231629830123817,14.031744909512218,14.701704507343694,18.583135451134932,16.41313931585518,16.92077142841245,19.214795342493822,22.436786949540707,22.09602668759386,19.28810052908577,24.360239368761427,26.242549593977227,24.384562667946017,28.221200983211173,29.751591441781784,32.78138934729509,35.691517982268174,39.663043950611545,39.77340266188193,38.94978336513847,36.529544191120515,32.38509594667407,30.716219339054614,27.246640689852235,28.51504435181443,28.748867068918003,31.365374740728026,31.584826913137697,34.952120131602,38.32470392124947,36.180059968180494,34.10352860020283,33.655917920523045,33.65710388381311,33.19057280573156,38.73179797657951,35.556872918927645,36.23683249786337,40.56088364653637,40.00672263372205,40.908825888277015,39.42193493757167,43.07496854524205,43.28263002031541,39.44608027819799,43.1034239234371,45.75939906192925,46.50085310642098,47.55942496577455,42.674818300432065,47.11293375941698,49.930064996377205,46.09010359643752,44.91662670268421,49.744471541941266,50.22186651313992,45.637665957006234,47.01383472127741,45.048269937984536,46.287603534585,44.0586006569255,40.64317040443677,37.19732603232581,34.359941177331145,31.357601034410205,29.235473285930645,28.23988998946437,30.3412488250058,32.488822184642764,35.69617867704158,35.846540118349864,42.206462339552445,40.955758593317526,44.01157014577133,43.10421642462152,44.215733818625125,42.56166361040886,42.063711382382905,40.44727386884674,40.82890002847783,37.587010244533026,36.34038409187037,37.77199667506441,38.885379739584806,38.03656684437336,41.1343017437747,38.392105742065276,41.03453288609658,37.650524408444795,35.885292348812285,31.17505865651387,31.32787046876634,26.99359726185191,30.30650005688658,28.11150010969175,30.190110658026782,31.7218208177511,31.54082320401726,33.02856893380326,31.669771351619506,34.80437203737693,30.433470605082633,33.434461113549546,32.357714225515586,28.60237065591979,28.344875846602466,23.636675133723337,23.20039997397086,19.40328231295164,19.40662817993357,19.045899546054894,18.77832077471935,21.91941521568199,22.187417204483456,26.29871616357523,24.75674127306201,21.520660926371022,18.805733850918564,16.280366691938514,14.919580220399654,13.762060400662417,16.788438283294862,17.625776828864407,20.989169567528467,24.06374188591173,28.577832585111288,28.230310677476844,32.714421885291586,33.096062650854336,33.80629119974112,29.68666968464957,25.46207540982977,23.636157531914957,21.682207895645817,19.670917666359895,22.51034905268677,23.49469124533199,28.051743213976202,27.138109275166496,25.281981852083636,28.78173286644681,27.237088133506834,24.28216845238784,23.947587110283674,24.141126543782928,21.483496262318138,23.697258505183047,22.962137969189577,27.76268966329737,26.884747445580338,27.48364899828779,28.353385434732306,26.11545872855088,27.242606357623586,27.433544695297503,27.65583245632498,27.148059479026415,29.21341444053014,27.068599921903004,31.544188186261653,32.34268270504168,29.471676218883783,32.026048405078264,33.602255293131584,31.160919784310504,27.534182873621113,28.07618741388,26.304805259625343,30.17861737801306,31.500473794826263,32.52449509073961,33.77492197731899,32.088108498333604,37.57146941434596,36.77213749153064,37.843696141212796,35.91091656551183,32.822946402213795,37.129145406642046,39.57773494238517,38.5023362296634,42.077988795487876,41.59104713984483,44.284167465501184,40.38778363579617,40.23210223728681,38.16749461457608,37.30514377640634,38.33407308672017,36.10479373817612,36.225963058986274,36.25155591059014,31.630403919418228,33.239573949625935,30.729219016371083,29.393811140840903,32.22630738166641,30.73479068723181,26.831080428770722,27.8661293309458,30.552249226471783,26.436526604504042,23.224911760738657,27.60203017190713,29.33857423231316,23.31487757677401,24.36107482197642,27.49247849185629,24.643154078500274,21.504085676761925,25.588850868276246,25.259622763867007,30.538442202757142,30.428580471834653,30.810211166820075,33.955938171714976,38.6157925423248,42.582659939562234,43.570941652914264,43.37262090125464,42.65424262065819,44.86157555931621,42.165031494312416,46.092771268245976,45.11908797409199,39.07105939680591,41.63802011785971,44.948857327369595,40.8543932705521,38.53841837074474,41.57515502697475,41.74600864592341,37.466459579306004,36.04472380008316,33.434978888933145,35.44843823632349,38.572908518435554,37.84703178153853,39.67845696423493,42.12396666911131,39.273771642938286,35.787639829918795,37.680450160023845,37.80424742974385,33.04685581592155,32.367788075359925,34.2516848679165,32.05781774503972,29.308190822481954,34.01764622518168,34.07839247960298,29.65930278509302,31.395421666822557,35.39579901919506,34.528159251508335,37.33824999923958,36.325134530652605,40.010861198564115,38.59969072303699,33.13727500184437,36.60301382545938,38.19479215289643,35.004620348712734,33.463197513765124,39.309522702475306,38.09094016013321,32.86207430047936,35.07821635811864,39.802776972818855,37.73789246941085,33.81306726232566,29.166190839801406,32.9341373133842,28.76904729197311,29.70348358002144,24.300799943535303,24.41249566639503,20.10513096343143,19.44671259331918,21.225531551642,24.302729691027643,24.67067572390493,26.429689352614044,22.3490850787976,25.436678993720985,21.083912984612944,20.70345353203804,24.86484462382438,27.014508376967434,25.79166729428903,21.53177952981169,22.546272410191992,24.155270830543486,20.077758174418015,17.53173717425424,21.8649100230056,23.187560651332053,22.505622650607645,23.483455436071477,24.802256823481677],[17.74451782343006,16.290235401595844,16.651666648211698,11.087595956223007,13.502160408683611,11.456909992531138,10.993661090860401,14.641430273040223,12.120656450114298,12.17996843652783,14.582391714486274,17.90443412071299,17.32618617450701,14.61253837042333,19.725726292065513,21.503455257275917,19.75440533803612,23.715028488887324,25.62856512215687,28.477493184010946,31.60000697719538,35.5714460235282,35.90699132462461,35.347491751101465,32.73926065700028,28.55116834152567,26.671436732118927,23.00344999532772,23.967127361181337,24.028660457785467,26.699165561805085,26.816597824137734,30.224552692582016,33.59664575470991,31.4272838438935,29.42931888095162,28.950529244443796,29.178596770593273,28.912703387973302,34.57262602310235,31.634375649283673,32.11244892541719,36.45145098534238,36.17441026626117,37.355605301063314,36.13267622864227,39.844463688720204,39.70517235625626,35.925483672662864,39.70400641356755,42.057711127711435,42.74533912342772,43.59417437338779,38.64148462281624,42.85225771615955,45.774827153436455,41.995018135732195,40.56443772071147,45.376277531128345,46.07165526311124,41.42731627033887,42.65583426250222,40.56686291877265,42.02735453362195,39.87536647596316,36.2954250637491,32.995564880877595,29.97165854179858,27.251664322522064,24.994565704204803,24.284537834794136,26.66314449779804,28.42258292368918,31.648651881259138,31.45798500751005,37.80047649676218,36.44454883652895,39.39514330312261,38.468193271511055,39.64937828020815,37.93414122145637,37.59759597589686,35.93931460644974,36.53383177200596,33.38024911734252,31.87929544015015,33.27290399613738,34.210997192437084,33.420580361077036,36.41956887593359,33.75757576367076,36.507787549035896,33.11073460699374,31.284178793787003,26.55278391703414,26.891124823463436,22.533467708237588,25.66674537355654,23.50511173042339,25.842980007813008,27.066800786311724,27.147670675825385,28.453652877294832,27.432477762898003,30.766512531956366,26.652817770275597,30.00437845026153,29.27978047457979,25.806707201856653,25.072718797813966,20.45405022847574,19.43808369442224,15.324001388855038,15.33606515877597,14.514573886979656,14.663614159496035,17.730905002611784,18.60044979586547,22.5671752413922,20.541550282213283,17.493190939637415,14.495399628127732,12.48046426431995,10.76080244312916,9.43761750519454,13.274013069439508,14.457174322642164,17.82305825543787,21.186784629743777,25.330993029091854,25.75816007669116,30.123099527510817,30.377160989637655,30.5599882014214,26.731051450717928,22.304963004798857,21.403217764740162,18.95750441228897,16.93036892065888,19.23813871972707,20.7586651935794,25.08760059858639,23.608716517975623,21.59321038843646,24.858501749757554,22.935169704861046,20.04867378448201,19.44107549887911,19.759987785360817,17.038550278268776,19.623660489264186,18.861946557777653,23.880951293613812,23.404233691239778,23.490940393751426,24.07895877293884,21.602639080256278,22.90173708711744,22.82154745224752,23.416062222288193,23.073849023213246,24.861172408533015,23.214439869394706,27.553344987084106,28.88595987159089,26.6070286049545,29.262333053404166,31.306517942493365,29.1132769295101,25.31512683452759,25.50932651079368,23.25515742379497,26.665995994018846,27.642660000318525,28.35012923519593,29.472226096215913,27.53923965569176,33.076034428899945,32.42655835960764,33.64053326202974,32.02367082743349,28.989262257896442,33.59059996342475,36.21112596387756,34.967525165284115,38.45858398439271,37.7255293727607,40.72159183055284,36.84857843238252,36.96542323116065,35.09627466074469,34.16757579988498,35.54249810471378,33.48261856408838,33.81075020786257,34.215826913948746,29.68617810960271,31.342698983373232,29.24288196480322,27.40004405608499,30.705541130467818,28.857206614373048,24.955320861726868,26.827700574031343,29.472646956066246,25.218540570110314,22.799534614035753,27.32418738006266,28.65807199127528,23.04209551293095,24.712415873223524,27.81619272108823,24.731681100720376,22.328999001705014,26.79538992708143,26.409350549441335,31.48099348856246,31.62889421309982,31.369729732687983,34.461504332823914,38.93102321873937,43.191040280249325,43.797810142841215,43.007514556727756,41.97081798699824,43.81812657930015,40.71655794329032,44.69680925212689,44.21066892704788,38.02821200362747,40.17923671324926,43.842615680097694,40.04242132912345,37.356544686206135,40.16247150751212,40.963032124166375,36.86749266239427,34.72336594707671,32.28054701406056,33.45889879371336,36.67420391796171,36.10658048756384,37.50672775202516,40.05511891871788,36.78543011256282,33.60122160929182,35.906580383495466,35.6387090427725,30.780538761520308,30.748805850276344,32.68344524623359,30.418243833260835,28.110244665287237,33.07301151524235,33.12792715181623,28.928986318242796,31.100798111921257,35.08288801433641,34.25386451743995,36.6763126411556,35.24299960030006,39.07146911751196,38.22853666456563,32.68555956381455,35.7958044275921,37.91123342473055,34.98037289182254,33.02773291480569,38.9697356965279,38.38388258107664,33.119106174970916,34.85128654300434,39.90181395771281,38.37053929323796,34.47303272930686,29.997449457892895,34.239898671126284,30.440997258556653,31.34075773231659,25.87298195953972,25.204741022147495,20.791748260055737,20.920949492048404,22.148706338297675,25.304943423948238,24.948476314523308,26.19923873254593,21.39595289315979,23.790482742206606,18.97356877732472,19.033848628820177,22.471000363820853,24.936317542418127,23.096397927849754,19.102849974175882,21.05427721772285,22.33847587207706,17.537532548378973,16.28555951912946,21.015993261657012,21.938417451216928,20.949562181278758,21.684373393845004,22.616663262771525],[13.847039924664982,12.844952371504876,13.88156973333179,9.171435489261711,12.650544539811975,8.975631825879379,9.857324846175205,13.098747602704455,10.961964913795061,12.76037507291972,15.008448754141156,17.478448067231515,18.12225747016171,16.16093142308845,20.954615498285474,22.633781677652976,21.726228705666227,25.965464051137833,28.577520968967445,31.09861625346761,34.53604706625099,38.43763471125016,39.07909022109816,38.764775831262035,35.932256319091195,31.787274450732763,29.555309080142173,25.668483229871057,26.0602369619618,25.376926642400644,28.110422704266355,27.493827422960187,30.70761578769759,34.53436728173257,32.51309440004684,31.054242986839416,30.099527493857174,31.168126431658283,31.107613301440722,36.64653276298577,34.233968590664134,34.81331166129624,39.07954626872753,39.062167251709276,40.584633206689425,39.48154514339422,43.194291783906195,42.73371519209512,38.85135746555898,42.51549900503333,44.6781166839204,45.10270975640329,45.87643798028577,40.91789161704812,44.78634835390276,48.06319750808229,44.53310106703075,42.730515758504204,47.50771029280984,48.6281744906086,44.026044945224406,45.061074679039706,42.72010774954416,44.600843012782285,42.61095785081317,38.76441370679919,35.71780119599521,32.35583052811635,30.06054566645009,27.375668817673755,27.052751891385416,29.430741828970742,30.799575556625946,34.30787977436941,33.58708259245892,39.85331653863906,38.50963959330546,41.068085262281436,40.17152814432943,41.502114038758066,39.380439004304215,39.19803871676054,36.98001418545219,37.75022335815764,34.96176848322474,33.3411795389749,35.117604312250734,35.468768749856494,35.21906237114352,37.723527272683214,35.323096631363775,38.08832841941221,34.45611947433144,32.204947357821915,27.461303488164436,27.602554348037714,23.265437660501856,25.836507791527048,23.215784148897583,24.615739375665274,26.762532639009258,26.198970193310014,28.362709804966524,26.844551929166023,30.61306294632498,26.215399976044097,29.218565898862103,28.731983320222078,24.923840873009073,24.01804955951504,19.38567921165644,19.367930093542313,15.240854203579703,16.49438503184586,16.31115130878776,17.315686868429466,20.552217743318124,22.043478389489746,26.01306245499596,23.442634805814134,20.71209643080604,17.397596292568437,15.98581002376796,13.600717825664617,11.07450800177127,14.723441913429653,13.971047455481335,18.0508833754341,21.04068245366529,25.364960122574168,25.887152935582403,30.040040361038816,30.95363723013511,30.887899001663946,27.634847007703243,23.378273428442974,22.443008609710034,20.81453787736925,19.532294802504868,21.88153850527674,24.206388602071158,28.530472414380004,26.86045315407181,24.48778908027765,27.448235228159046,25.100507729804278,22.17122047044184,20.770301475009436,20.345329999383228,16.964481978445747,18.57834804338504,17.245631855910833,21.861215082203778,20.70379871980238,21.54470377591081,22.66534661148392,20.88285323031147,22.07527338204117,22.90619361991594,23.371709935038563,23.99458660844776,26.329956116790253,25.288179831243266,29.504658509719984,30.937350892843153,29.108797007505498,31.24118113574505,33.5591525979609,31.01293736980809,27.460384738283498,27.24353065788981,25.183866981165135,28.258392855747815,28.906244569860398,29.43747549776984,30.011343439469083,28.225900117143368,33.513263661629644,33.40303027181157,34.31243349215638,33.19366913823762,29.46691938090573,34.232107361769614,37.02007736912506,36.23301636167532,39.944416859954515,39.48056595012386,42.64782295993425,39.219034312906516,39.10040425156003,37.11320430387145,35.73017227402394,36.96415010988535,34.672376001215035,34.66401510668628,34.76586751662344,30.060228165502615,31.152270940486233,28.64158289293292,26.46112915738972,29.2468620318813,27.012133354709853,23.363324978492777,25.17579458220259,27.275235296671053,22.760593864596462,20.845403512318093,24.9770482135829,25.68212831101205,20.056988725123922,21.885864367555754,24.626776863843013,21.16954298371013,19.083923172191565,23.6674979745259,23.751691716941412,28.3976156149458,29.481075540204216,29.019868643307234,31.7640349019642,36.48287302114589,40.50510876211814,41.31923804159313,40.43526704371636,39.692592275029796,41.62951549051027,38.68156215336925,42.91906160971763,42.396290289511875,36.363100860143604,38.73626464535279,42.5838480938902,38.84668920769456,36.3405029597489,39.45765935930043,40.32154668756107,36.156871861620665,34.48058032070721,31.401956067096474,32.559747195783245,35.48390819712173,34.346209138059244,35.661053442700904,37.765667225129626,34.6706309028554,31.638541433003898,33.3528122110334,32.934582607180324,28.25585972059419,28.034608636285462,29.504722127891153,27.066568502713334,24.840681780830145,29.729093748754426,29.465777715624974,25.11918478770837,27.542597774091174,31.535646718266005,31.01909414391824,33.620390072264584,32.49440811959678,36.488239695670465,35.434546778595994,30.10223836573101,33.57645654512864,35.673182156850835,32.72116794964062,31.250360123129216,37.24082292936349,36.60415515299411,31.561448759725536,33.67827413641057,38.62028899512654,37.07573299366753,33.34709607336961,28.83895428614571,33.27081582532564,29.538305027636966,29.73673029863955,24.375254617755548,23.357173537224455,18.616994127438893,19.515269182827485,21.111651960100783,24.63283769443756,24.441479863654248,25.11360694979137,20.499671612909708,23.017235101752508,18.37028212772369,17.22776647544321,20.45018223052867,22.3738947915138,20.47141054036474,16.71829651216081,18.01791213696394,18.88582822752003,14.42733101025283,12.805494287097057,17.18892972426145,17.86912962543701,16.898099336499975,17.72190765030142,18.991404595010902],[15.970137750270059,15.511048835535671,16.38550862861863,12.837976916575549,15.114408322231458,9.586847315903663,9.497808883996179,11.020790525003033,7.632888786907852,10.107280143032705,11.40286240161478,13.38156760656454,15.280907193203367,13.490396488014717,17.631963930242073,19.507375924669997,19.613872055288844,23.776036538823206,27.067664125402437,29.469828313744983,33.08613068594026,37.08092523305343,37.95298114341131,38.120308961935095,35.24347343941241,31.028304422982593,28.756193842770273,24.643985412391913,24.194631036305683,22.912435554860103,24.914363078509172,24.174167429775366,26.937228478516364,30.99836877284238,29.419489995147867,28.469749865996125,27.596565206128588,29.48814478641932,29.99285176818856,35.69079106874997,33.74212193575841,33.73083470834127,37.9760644536979,38.49046268769482,40.323569470965424,39.66525420950704,43.39389299270969,42.52169249521895,38.88940625481646,42.718001293220254,44.37263902439687,44.753959205488385,45.12175028333635,40.11505122940798,43.44338287679819,46.854069705250495,43.41698650143616,41.09586400230734,45.75799995728228,47.26145194093974,42.477414070155035,42.98417278264641,40.29146630261892,42.41013912852469,40.83502637642976,36.81861368164255,33.71707838300765,30.01298379689953,28.048782376906935,24.80540595711991,24.867950021784857,27.118671500002126,28.046911086864068,31.90036099626826,30.739592758270803,36.88006161591538,35.86548198399982,38.02218707138298,37.453605286181116,39.1982562873729,37.04675031853362,37.43500218270616,35.040810384455675,36.388186246029015,33.928772733217585,31.70890427075761,33.296530401946775,33.001969250071596,32.78204317205344,34.586818506525425,32.17843910596667,34.691774256184544,30.860815025443753,28.35668094208461,23.698119541258777,23.49269059179753,19.2640283130942,21.75961448383952,19.129541244592662,20.3577781258315,23.152110473568946,23.057677749322952,25.638320593304314,24.72429724509401,29.26126642655783,25.274859282851455,28.57246747950011,28.82084895065571,25.31732414556297,23.58012127989375,19.285606742267465,18.99115615850895,14.4633953067997,16.407676455344518,15.361904484535138,17.329075829767415,19.97138319631037,22.324377340337236,25.449888273546346,22.11043398288409,19.78309193104904,16.358416582327546,16.386109467747573,13.986694766763422,11.354563711229057,15.831613380558496,14.717277235849556,18.892155802330375,21.920750765650705,25.641052404439495,27.211005600198586,31.004983754102685,32.01682992501874,31.150162976400633,28.604589395389407,24.29271241400037,24.470649784849055,22.556098857605058,21.37912943208371,22.950184644647678,25.664955669983588,29.509774124669715,27.110819278057974,24.73647451568407,27.19522751502117,24.17332589125307,21.578462592299207,19.43408103880328,19.00814958011584,15.055511266811207,16.606973322275106,14.108839486975553,18.684639024930846,16.8571831817656,17.298034026731766,18.944843385812614,17.49434317801615,19.413630118898364,20.311912505994716,21.823620910762358,23.359258446486887,25.188955168908834,25.290776589443034,29.09115232032113,31.376202148987844,30.40490259910975,32.57915333119703,35.38657840238687,33.124116153575116,29.51153951001782,28.887300312347005,26.355526337472593,28.629462261560864,28.62172114574675,28.483801940018978,28.520893129126744,26.1994801651773,31.401594822227157,31.936998525537234,33.01978598490879,32.71692782749096,28.902448171129656,34.1192647218575,37.17554058016264,36.28677881997407,39.8587687097945,39.03686342292343,42.66243864470511,39.340105613750254,39.63498062058907,37.941931443800286,36.42963151129701,38.05449482289639,35.95641276557403,36.09436658079559,36.51264758246161,31.942972551533963,32.8363102330857,30.621323268028554,27.784475215249326,30.697755018931637,27.84457241366622,24.51390783627972,27.118511655261372,28.72577192115482,24.012168516793366,23.32494585169073,27.14847525924302,26.912756419449522,21.912287670091036,24.30376848229927,26.58282047299012,22.66705367943368,21.572429006651404,26.301482044024272,26.754859012362015,30.776076910987317,32.72419580216104,31.72570502579503,34.10370705038643,38.787222928870044,42.774738416367455,43.4583037760696,42.00602919120447,41.21130719399994,42.830723058965326,39.61106273236728,44.036753155834056,43.99519196492891,38.0214712634436,40.07214375181791,44.33746046241427,40.96752287517287,38.24849133677691,41.24857923680191,42.72476777285462,38.749780323338975,36.653922761487806,33.502659893342525,33.750672568271874,36.54795196192661,35.22717883603165,35.92061958916166,37.73594131424976,34.26965920876227,31.86037471588703,33.534829800137096,32.42185582388129,27.900348534830936,28.381195735829742,29.344107731919404,26.636199358288888,25.193924854430147,30.139981375008862,29.441173321570464,25.267106723657587,28.442998471272567,32.323687881152026,32.22458541373939,34.57340550848378,33.3303328807867,37.55028004359093,36.88909327118706,31.78127995508864,35.127489917973456,37.65525426797155,34.96455692365899,33.501807368067944,39.492968723862575,39.34334340039681,34.49038030468144,36.39871043481855,41.46344124404522,40.31879400230722,36.7442583012679,32.40957009499429,37.127376158483145,33.66389481188551,33.522621847160266,28.29098698234877,26.692022105853816,21.878773190268994,23.558439249856374,24.97593090937164,28.584907130815612,28.01766289509515,28.070671088033734,23.119203754506135,24.930793535999175,20.09709075061597,18.785572369492446,20.701544092034947,22.454298060716145,19.520794108555606,16.763134529631685,18.610490556140764,18.354298350081326,13.380027066809367,13.62631957914752,17.570746443809416,17.06560670328152,15.48805097992249,15.58012232427974,16.507553905126993],[12.903804182279469,12.755785756711612,13.883579796351803,11.63844956411628,14.2172163635822,7.9112294357378445,9.262331429530734,10.31043992984647,8.397141364940069,12.20509454813366,13.662464022621167,14.609738409272888,17.072700583384453,16.25891556121456,20.08198449836847,21.558653112044514,22.04015221346103,26.386770922418194,30.0177873046351,32.02120120790077,35.8460296890114,39.640337769769815,40.75489514534252,40.97775878173068,37.8832260820282,33.81862408088465,31.207058116158287,27.065435661404532,26.41905949980785,24.665312500764824,27.10781172623872,25.583174507005754,28.309815250371233,32.64790305701827,31.003429773769177,30.413145755517565,28.986049186101887,31.352491884725705,31.818383522865798,37.22292541624944,35.672691440904565,36.015984719306815,40.12628281815102,40.69567079338747,42.76252389083091,42.07686588064916,45.76945144583957,44.69777639833335,40.90524922691083,44.52408573956369,46.13345234849937,46.25167350519614,46.68061001112991,41.73863842308842,44.879000218293626,48.57737647183146,45.40886882617942,42.93116990087067,47.55437055961371,49.34722523804852,44.747310089350854,45.297449989750405,42.53680114178679,45.015648424504434,43.413325307830746,39.2213892753248,36.53485464827137,32.698917996102736,31.145731592015895,27.862041319799584,28.202427284530515,30.580954579439812,31.18340988736321,35.014301471177326,33.44803312883596,39.43996333064431,38.21014535584081,40.10118495483854,39.37073439597832,41.032419451770195,38.47576315396936,38.768142544909864,35.90385743520952,37.187498582519204,35.01700601735684,32.944983303363536,34.986501036463494,34.36358822268818,34.73875620357013,36.33571633365071,34.30997431478941,36.98865307580667,33.101575879196716,30.308786333152305,25.730985887857926,25.612679455359537,21.53172284911647,23.165683292142468,20.099162530005415,20.270175289446126,23.63833289892794,22.616838327263157,25.856537971470463,24.228970714821624,28.84096049811215,24.5712718364799,27.382885263231085,27.69723106324938,23.93405517537556,22.230470566602076,18.04204214646141,18.765965237922117,14.649955221465849,17.41838628533684,17.32996456574182,19.58590149199109,22.51684841033076,25.045995336375913,28.505955596774477,25.051606118789287,22.963991463911164,19.419085665565632,19.31188240336561,16.465596540291777,13.165344787657519,16.83834145635076,14.235824422828927,18.711856238864524,21.252121829562768,25.0987959197282,26.53498951687031,30.101765397718072,31.657077301206645,30.73771545245747,28.62721894461448,24.599720085405494,24.55873760900734,23.430406485260654,22.88484093239286,24.63969227699352,27.915797500608154,31.848461751672804,29.54716120672542,26.868551162828002,29.150023822594274,26.047329640240548,23.372817552154036,20.829743083158093,19.685372843494612,15.52072429685104,15.935293272399985,13.328119357107418,17.23828200204915,15.025144837862507,16.495855659102748,18.39731703731122,17.651977538774734,19.052852208402353,20.86688004814049,21.79895199878787,23.944007514777113,26.412869736742515,26.709855277854643,30.431895822429244,32.50754112281813,31.750190919572606,33.40561250914344,36.323107842203314,33.7315200175575,30.402915824088222,29.505763529951036,27.299361039259058,29.408357360422478,29.27212436418256,29.172277527892867,28.844242073253255,26.932180394861213,31.778832017047687,32.6107357279007,33.31031462848691,33.24543641158594,28.877742910012124,34.02455634184118,37.12240214586786,36.70556133143418,40.46824350810091,40.024602167972404,43.63868871293005,40.7615469346335,40.701923102408706,38.84511932862406,36.959337915244106,38.34785732255151,36.033630416303126,35.84664500330991,35.94977261047371,31.295442808806673,31.713563490500928,29.178927969426272,26.176581830868052,28.578286798852787,25.50344058410405,22.456411310352408,24.915007923053068,26.054530902527183,21.24853691950032,21.03726390167859,24.4288371836787,23.6912344751028,18.864095505257282,21.379896391228097,23.3136571150906,19.20129446511415,18.545198513260857,23.254133390030294,24.00955571263602,27.587279138024993,30.18517815069955,28.973758434929415,31.05101549218507,35.82312608629669,39.62947513054251,40.416881251116585,38.89110733506092,38.308539946803066,39.989791782928094,36.93387096279078,41.506670660128094,41.40830529243386,35.61013555431137,37.83060695756726,42.170842639359755,38.87106851678538,36.337064481296366,39.55905056099397,41.03655579155102,37.05334388495855,35.38048337481362,31.769260972081515,32.061078840558764,34.58252957723288,32.82525693945928,33.50557728235153,34.97230986232596,31.73969731063011,29.405170621669264,30.574149572321843,29.43279630732603,25.094357056977923,25.344296021904693,25.97002215486586,23.1789271175662,21.775538247152824,26.61237861929468,25.727815277055598,21.497017750438886,24.814213023555155,28.66140352724809,28.761496499358643,31.193289917408258,30.179790222614315,34.470471608956146,33.66826179380063,28.773744798620573,32.33345434936312,34.8219159540147,32.165648257268934,31.069898505007817,37.00974782864241,36.85240008652754,32.24236414174968,34.38445652503124,39.30503174633406,38.199849699614234,34.8125309771322,30.561086928716463,35.37664145845211,32.088117505714074,31.429219248754798,26.41454543066946,24.4906142384473,19.63232981176728,21.936582388313994,23.474520799759528,27.230626642325067,26.73943226030244,26.3105177528173,21.660429495121097,23.50983777522858,19.037728577433327,16.78418030658841,18.459194038971173,19.679639623339103,16.870271783087453,14.371690026282481,15.532481184827688,14.928069141210132,10.467800124751967,10.444689725659723,13.903653069077729,13.218076844185424,11.714831026169099,12.058965898444574,13.427133905403887],[14.750564965496032,15.506311944890035,17.26773037863951,15.61531445986875,18.354735842915115,11.82621985865029,12.937953606217931,12.874583283300359,10.38657159333825,14.231620016824337,14.620552729465842,14.991396791890676,18.64532928250723,17.716081967651586,20.80485342592197,22.577145695128227,23.81485071517778,27.88976368100807,31.77104350077218,33.8700562214422,37.66462527558139,41.58429717898419,42.720930941756734,43.21460484307637,40.237069732488166,36.09505936266545,33.65283539651585,29.45246725255916,28.329943878461574,26.271701877552694,27.80895162989807,26.392336813251983,28.509262382686426,32.99417024745556,31.89642109623426,31.731085307836953,30.516969604470173,33.40935835225644,34.26228880666402,39.768358343399036,38.42212476164036,38.294781972247364,42.39620077770452,43.273075411677546,45.41132607934059,44.96538291233063,48.66053824105609,47.45758505654529,43.86995843799811,47.610436640324174,48.95352354285303,49.10100162347348,49.270384399939076,44.32399961123805,47.11343506411463,50.827837838027854,47.67768232672317,44.89258934935201,49.40016986006478,51.38617739767826,46.62594152236008,46.73323351121221,43.71610573925929,46.2158390572449,44.99604133717667,40.792364527973945,37.88023799249756,33.88728116344553,32.37985768213043,28.68487530669552,29.119310753730463,31.113565609812106,31.627709343333002,35.779859377461584,34.10458484952039,39.94562848789739,39.19682991002308,40.75727284288537,40.426896917409515,42.47246490824006,40.000066613461726,40.766185674359896,37.832780036510464,39.53261867247637,37.59247482429686,35.12178238366993,36.92525700380686,35.834267525861534,36.10970907003227,37.0514899503123,34.92653534734751,37.17908482522409,33.13593894568098,30.193018366690673,25.837499499446782,25.13559849943704,21.338739944508482,23.088703392277406,20.162917084301828,19.867412165903954,24.179485881261606,23.546864895666612,27.25705582033041,26.085556788062352,31.20914897478502,27.244746507447584,30.05837745859476,30.80526226617831,27.181292062945804,25.094119621717887,21.243210874708545,21.989228489757526,17.839905266204745,20.804961845775477,20.14200392509161,22.686099226753726,25.181720205228586,27.966770803920507,30.799141669208993,27.036091712548295,25.079980404789662,21.660526287779565,22.234093598866274,19.66703372043655,16.64435091797279,20.656835436529327,18.04736866060691,22.467999012869136,24.92218396676584,28.46647855827689,30.289354710712963,33.63756308869057,35.31443629687342,34.04271217824816,32.30961087225368,28.309772801751908,28.609033175409813,27.37676513524603,26.743134801467853,28.230882591448655,31.416883201736518,35.150377259337475,32.54596714961463,30.00646266383734,32.08404281400579,28.68235484646825,26.25960534190464,23.426582487291522,22.369414549167026,17.98924192952011,18.178003763019934,14.595366268050403,17.889901035056933,14.33826012015701,15.895637217655024,18.724346776946742,18.638952524569298,20.62461342109382,22.563078067463305,24.244059449386487,26.941379090735225,29.026798674710566,29.916871577670157,33.39701320923503,35.90151909703778,35.452249954425284,37.182632538125326,40.23565273304976,37.755280321111464,34.397294225974434,33.41569472764058,31.04270242225595,32.829718991202625,32.37777129456197,31.892255152847802,31.20496969064728,28.94102929782569,33.620403629945905,34.942271113093604,35.74153861824211,36.199953330717406,31.808325837366596,37.140551442399286,40.357090536623005,39.91295765202231,43.57988408022257,42.923164490169555,46.76639552639656,43.90947464966332,44.096246527948324,42.39297090226749,40.47704424612629,42.01922551582258,39.783710889875536,39.622780422026366,39.78726917172602,35.18980692327554,35.437237991408225,32.90747361332553,29.684527161872165,31.862110338075407,28.488188896723795,25.774615193227348,28.32680804634837,29.009837830697094,24.170517678753114,24.504730386571214,27.472790146705435,26.073046890060255,21.61328264358923,24.15810661910575,25.582373898875897,21.18240733513767,20.980512453683833,25.49906131116669,26.73700241027465,29.76333975628272,33.14638084901667,31.87425893951137,33.57648242424763,38.467806624102394,41.96143267767004,42.93697523474175,41.27956176352096,40.92677053689297,42.55787081476518,39.567079108728365,44.282530839847006,44.30458143398732,38.69882607028995,40.907673834147,45.395524856394616,42.25159902328436,39.785637203659654,43.0569611838196,44.678767740163295,40.74398738110524,39.1692322390991,35.38675119619753,35.41583342059488,37.73831608109434,35.6791867142318,36.050754373704486,37.086422913891404,33.8505632510358,31.966255216531376,32.70422759025322,31.136591230014073,27.158565268413316,27.587742670304028,27.5454681221638,24.541213860782484,23.667223742501264,28.23719682962537,26.806176617641597,22.611406413162552,26.392863589197617,30.082830640191613,30.670741025760243,33.16003519699829,32.421088044907904,36.810804381936734,35.94580742312791,31.411795639378287,35.123444277347296,37.627380966868195,35.0460643285213,34.30258851520639,40.155811379926156,40.00721910173094,35.62714862381175,37.92809993108976,42.727758741262384,41.62671522981192,38.37381678803935,34.156985469939066,38.929354006450765,35.638263026896404,34.64313943429706,29.796128173296374,27.860455382370482,22.98715350994604,25.474013938566063,27.233171831048477,31.046958677248814,30.685553207402403,30.063390554843007,25.57116637046481,27.291381597625506,22.939101300727692,20.380651598164594,21.427979185539616,22.177815954708727,18.946940042091978,17.340379332387336,18.159728426249384,16.630434123525486,12.738971975569903,13.315217174220074,15.64762749660204,13.877872676910535,12.015612282053569,11.518485152156753,13.01415126167402],[12.70418275767162,13.89513164127104,15.762479350022348,15.716172463400758,18.371572087360022,11.842608695948527,13.905416744827175,13.352323106295609,12.419999726139169,16.903387624623264,17.57203413672803,17.12350883679863,20.951571493294587,20.88623638508188,23.756158753792644,25.07369739224593,26.5375100057591,30.765873223619106,34.91755424090423,36.60144633877067,40.58871515620197,44.26763642307144,45.65982901807181,46.18966236881097,42.99173299145081,39.02089372553041,36.24246028527754,32.04722067900328,30.788723106158976,28.338761312965616,30.380973600618198,28.19219946679104,30.2885955944281,34.96963322668591,33.76347645213561,33.926358529888475,32.156180522636056,35.445366659866586,36.22884864885017,41.38170372556719,40.4431951081572,40.69482708894518,44.63405398437171,45.549122469110095,47.919803680705904,47.43863684611267,51.09494095034405,49.69506884333552,45.944372938846065,49.448326836189246,50.7332940212776,50.60747079735788,50.836765379711316,45.9949816163684,48.57615016920919,52.574644230561354,49.722487257584476,46.80298061912755,51.25067680397042,53.52599502428237,48.9906511100959,49.17619040091716,46.127417847383576,48.99439548713306,47.715386066650154,43.35046938701238,40.909655493656906,36.82321753886448,35.73082431629497,32.08079253558352,32.775132502974145,34.95782440093333,35.14285698169768,39.19528104398347,37.12844629057198,42.78587458426049,41.76290886215392,43.06547647745804,42.52715094598828,44.43601142138066,41.55540193492977,42.187552340347935,38.79625468013494,40.392367893986915,38.77348489587029,36.49948604406222,38.75681236073368,37.36903610154448,38.26424524539003,39.04063850486028,37.35054324173628,39.80564080055554,35.770618777120276,32.58809027818858,28.36647943777408,27.85913125698565,24.260159986655133,25.076797376360272,21.79434879514509,20.409801392471465,25.11079930552969,23.481259554559724,27.768642309760043,25.86992970505399,30.944734316462842,26.796000555119463,29.015622972735574,29.850056243539132,26.081546821972314,24.060295154305614,20.53783113986449,22.25259468255967,18.700127906912158,22.249106003276115,22.435634863486083,25.163571927275953,27.909547750345517,30.824858296707824,34.002470341675476,30.173663642451817,28.4320114480042,24.904729211606615,25.302777277482893,22.367472927441668,18.88292377067885,22.121917007561386,18.354272376705193,22.799158186566782,24.677829428702935,28.194063780444278,29.881836378301866,32.89183322548811,35.09856028563294,33.76473696022347,32.5353047765755,28.904366588348708,29.037130053871405,28.555453647370598,28.513671368963237,30.124791187529024,33.814768415183885,37.602743906241585,35.10393021512434,32.28827160793459,34.18225450052332,30.75148937300461,28.27881602954527,25.151354207550245,23.46000055808797,19.085544163209985,18.16482764928662,14.72534827573602,16.94530161331397,13.096291248333216,15.859520666419655,18.780009709256902,19.444648840361708,20.77205719905663,23.558090615753798,24.587674316966666,27.80631849807441,30.469087954159654,31.521767123289397,34.877530075508574,37.14985409270138,36.9340565369613,38.13606838426789,41.28258646156559,38.5190182124157,35.481368938142026,34.232752673456844,32.19565360359803,33.774384731203874,33.19423267131341,32.75299114035519,31.711891525636105,29.919053363234593,34.14632535696497,35.742600826703836,36.134262971287974,36.83233645965394,31.953579516904345,37.12430441760616,40.34328233339832,40.379165596788596,44.208605852392544,43.94455894958406,47.74832835413305,45.37188196079679,45.197812326087316,43.34941990150228,41.07193319051432,42.363458931388976,39.948641594566645,39.467705900316766,39.32396728167731,34.73030791468608,34.46740966207923,31.68302031528983,28.323518136657334,29.888017149884647,26.30774462915749,24.051080703722896,26.415800471086875,26.489330386507408,21.70546473858711,22.71776653432133,25.031346564476667,22.95093467748634,19.00349387544424,21.644315501286545,22.51711009102447,17.97355277927996,18.518519828779368,22.818723946019844,24.412574255184882,26.73363783718492,30.88720631675329,29.330362394312694,30.601244667891603,35.4948428818653,38.73878117265597,39.79225186752256,38.00486201142563,37.89269839725478,39.54077288761162,36.75358153306186,41.58811394096911,41.58810050177937,36.26683951482336,38.60195389231692,43.14481445264495,40.15328352365283,37.9085573538115,41.3559221054826,43.008393994406894,39.14432474292401,38.004791570867845,33.80416852909802,33.80554833128632,35.76971870001087,33.24567017675728,33.54262413714848,34.12829954674124,31.19728353402487,29.49586981716368,29.60803396663251,27.96513592645704,24.335103109881416,24.541132269562084,23.993858994721077,20.91386227134914,20.245795597626778,24.538381324219547,22.81856422431616,18.668205925609875,22.673524286187842,26.2243501508988,27.112415206024256,29.622019888851984,29.16544429798547,33.58543590039384,32.61203424843128,28.451110899792777,32.31452088912078,34.77473179202542,32.313058375143726,31.998138460927585,37.68000598626355,37.5829983434121,33.57274938357342,36.05199289109328,40.63024484600735,39.63858997490141,36.657794786599574,32.64220780402249,37.45927326153448,34.456588517814694,32.907876212834594,28.43054967720896,26.131061124629312,21.419640592657643,24.543787519709134,26.319746760238495,30.167523124735343,29.8430262616888,28.67626056249471,24.629337877343414,26.258090573552497,22.452749235448774,19.062669995892893,19.63008190270253,19.658923787029394,16.66142017034477,15.663560935500886,15.592069842924015,13.45476533191923,10.791288276232205,11.254342437124773,12.330745182487783,9.986634520937596,8.16174273538886,7.791483980985626,10.068426864458457],[18.018939561351516,19.633246261413348,21.59997809935451,21.527157178913765,23.923180926178603,17.179948854882717,18.43405752339263,16.888157768127805,15.193246497301573,19.30963186707876,18.797857499937653,17.658167875775963,22.601883840439502,22.482763654636152,24.29949109511425,25.862366145846988,28.22745854460957,32.01046807425849,36.44761994257991,38.16337221027778,42.07741799424459,45.856489071697105,47.29769695283147,48.21977226346099,45.17566198304559,41.16326897035204,38.60733448154744,34.39250126104937,32.520468256160484,29.732527713160113,30.577928959798363,28.56464913655436,29.790840544374944,34.533887290548805,34.076124329518755,34.80053706068016,33.35425664144318,37.26915552802867,38.5675857741581,43.81282599242977,43.16615247872917,42.76296743296193,46.640383078423014,47.99131262136648,50.468892609210535,50.35528791306598,53.98082961424698,52.36514550165961,48.94881400937076,52.61776490106175,53.489498314381436,53.414261076545266,53.260179262559646,48.43746281827,50.503140517650785,54.47988349611941,51.67552641823945,48.34617844177043,52.58843108898982,55.1224547075937,50.40918115192488,49.98441711448474,46.61831255517915,49.51660861229272,48.768262486428306,44.421847702982284,41.77014963545547,37.532392569172366,36.60762575993036,32.527004135522986,33.40328732393968,35.116280740728314,35.06415798765032,39.41164646616518,37.15518168222622,42.483086707916854,42.07198142510374,42.8930604912406,42.88737433439302,45.286301092788015,42.566894870970856,43.84985986469981,40.455891588202235,42.627229055438285,41.31267009154153,38.4955689071692,40.369164228353625,38.37972957660517,39.119399343874576,39.00375042763092,37.241988202879504,39.11321615901128,34.96607231779188,31.648528529038146,27.87453087164861,26.681928551765466,23.654316018837413,24.447256309213408,21.521016387883453,19.618427967986182,25.290042437024013,24.38783205859071,29.030671281203247,27.960292849417325,33.60263955601776,30.050720140617265,32.420676985286214,33.85202029131924,30.45966477133944,27.89088182759825,24.845219651988774,26.177168254597664,22.532081221579325,26.122440228997167,25.511543936529904,28.567697885705226,30.710125905059808,33.97064084428524,36.29547021768185,32.09886086513713,30.625482900337666,27.31352102539422,28.57947902605547,25.977303689627966,22.858987965997507,26.58909811224853,23.16939488389359,27.43722868673354,29.366238632553223,32.36148347396393,34.696029546881235,37.437267336322776,39.60906751343477,37.745871863350054,36.9698780818454,33.31770512863468,34.078952563833404,33.24499124586915,33.020991886445444,34.18088333335023,37.767567806377265,41.2125340003452,38.27046938558844,35.656794823843974,37.23086441064858,33.43259718461627,31.339639525255457,27.9138939048709,26.459398384497646,21.987297982874733,21.091460718333106,16.719163760930577,18.12887050128707,12.897291449404742,15.254810400923597,19.16020209043277,20.551433064609824,22.644656959967914,25.30902576621898,27.384202310722902,31.151775118844174,33.161087144311786,35.00455986735234,37.98796080333013,40.89379947589128,41.15084670918724,42.52784273450754,45.896057592923455,43.39494215799415,40.25850611508728,38.893818078571556,36.52957314788476,37.62847556132732,36.61315383795772,35.62490613760452,34.16811457375597,31.866623689201496,35.8279693683983,38.02985050922793,38.62522995828546,40.018155419614345,35.28545954141932,40.69401910371006,44.056616444291265,43.94562364046735,47.55642337982513,46.91769531306485,51.042985210734386,48.66636969864331,48.90898674883412,47.33714832965167,45.08898328950922,46.6826967382767,44.46247058667976,44.132841021726875,44.22684039593969,39.777120004828866,39.450368071002586,36.89509353602821,33.24255799467762,34.80449976679035,30.914449507479674,29.00451289932166,31.70656355865021,31.409639335110626,26.72226854369708,28.339417226212994,30.348412849823216,27.65531254075017,24.349110972179503,27.049745941106696,27.46781998570554,22.861901269527685,23.895576024946646,27.921753696148507,29.830417129458553,31.5833055172804,36.334872148812266,34.63880808030601,35.54346798214103,40.377761933536405,43.336983560345224,44.446042991398606,42.35924409447407,42.361766238882225,43.78440107309145,40.9476143088919,45.85696594672889,46.17614599699154,41.073982611070015,43.185356985769175,47.93591238893474,45.231944301453645,42.93596484903006,46.27966308256419,48.265164319187186,44.54215111261587,43.2181205577372,39.035393843932916,38.487805219422135,40.28370306779773,37.604626002251834,37.382423524879115,37.53811176282535,34.46221935205523,33.45012694727085,33.305595169660876,31.034552223667404,27.90450704626755,28.62571440995444,27.3939784990948,24.198118535186495,24.39377109599965,28.272274795877504,25.99672729950775,22.279793827760926,26.727812986580705,29.912834730462965,31.316515575831612,33.64393379729355,33.3187186152929,37.769272835280304,36.980234904810395,33.26345270409979,37.02744321431134,39.6327206505589,37.37678701143429,37.23016252520094,42.765506017553285,42.870311991818966,39.08820128768335,41.508745617771815,46.03373064596721,45.19435388115039,42.339977729339424,38.41590009858089,43.229962050565554,40.27768259175172,38.556431455837455,34.21628161075106,31.86920589497332,27.225238042386895,30.40994619038702,32.22097738619203,36.06650863005023,35.691964662465,34.36746789205291,30.259173863829606,31.54997769704898,27.704344522392848,24.456992682852185,24.22362491803987,24.000951335724906,20.40958858159751,20.44227867679411,20.595532041126788,17.639631757300663,15.322935820703124,16.87200346872109,17.19941159260955,13.909313949325993,11.944736574910587,10.336266036714816,11.75306566699367],[19.451474541033477,20.52465650698059,22.204779362163112,20.840944570245124,23.063450541197753,16.32923162816644,16.696336767460334,15.430782735330263,12.460861037500006,15.882234468417714,14.968527717928511,14.485529626762649,19.311432376777795,18.483432607264483,20.362985496363983,22.33132683493747,24.537476759577736,28.144627724210324,32.36021174501986,34.41150707348293,38.1516316685789,42.1226370528639,43.352601736053906,44.25903771960334,41.41286098956962,37.27391892106633,35.01760616834268,30.8192442025284,29.031444343258634,26.591706801929103,26.965095157055,25.679863669292573,26.966300287849645,31.517100493930602,31.124218216011048,31.52353673633636,30.602643848822684,34.13824280253578,35.51147153262788,41.06016966431406,40.059776929865826,39.29729860004876,43.304226024363984,44.63251295220765,46.911762266667736,46.85247169487183,50.50579240189229,49.05083837363307,45.7975222941416,49.66975469259972,50.56871264538084,50.74791751018597,50.52518642623112,45.62067626318358,47.872195060885915,51.57685752362859,48.50117028256167,45.30058736337946,49.59914461905101,51.858575936517845,46.9484952790561,46.46428243055553,43.140531426566206,45.70624248480908,44.99825945290614,40.79888306840424,37.74690753703702,33.59118590706866,32.329413848778344,28.209241025008275,28.896766610426877,30.47054960366797,30.652713096685137,35.07546450184548,33.14660622656849,38.65148642936887,38.460751650673735,39.54441805369241,39.70654677910751,42.2136307084534,39.884232193881836,41.27721443625628,38.33323785794671,40.58665832613729,38.9713948231847,35.97487858162679,37.416157051899084,35.72222055748469,35.87425555639936,35.951290481093515,33.77776878323892,35.49709995118537,31.34260652778862,28.25149161153332,24.314162860673523,22.96480159492479,19.716651687322774,21.4097362223556,18.8255783165491,18.12492420546023,23.29446779893403,23.39384865877793,27.40347675249651,27.043853963512994,32.70696538379985,29.335266537660214,32.303297057340146,33.64567634353363,30.409197522081328,27.762444310234386,24.410744642368986,24.823079623968336,20.686252763416245,23.74864400977487,22.353932329991384,25.280756987178375,27.11295467617367,30.299462463182397,32.235254492160145,28.072067780995855,26.487133104305485,23.31992198866058,24.86359055847592,22.62525685632425,19.979162462782828,24.299641798486373,21.90466523122107,26.085968365835786,28.520274298616375,31.49054028125855,34.00367879259986,37.046036912773225,38.69386790502422,36.86104484221209,35.637633152049325,31.66663940554398,32.66939096159751,31.145294909614446,30.427989084877936,31.385424584834897,34.54520921428214,37.858708146320446,34.78845719047381,32.43640649728306,34.11484428230766,30.33236323006307,28.332152530627464,25.160964977846497,24.297215677708365,19.863311914885816,19.99241339195014,15.526512252736689,18.072948132332293,13.43077795432459,14.415369921721858,18.098986113237764,18.667532314697073,21.38904759264683,23.20659707802668,25.904992214408647,29.180266843939076,30.6175236654701,32.36141867056474,35.405593553070304,38.553065844683815,38.662211160983475,40.510749425385995,43.81577671564936,41.616908246357944,38.204938540332414,37.053288697954535,34.36422668934342,35.58533910956151,34.66239124570774,33.61578874879391,32.50105574806078,29.74866569268845,34.15384672191635,36.065328619768636,37.060038445535106,38.22107733860756,33.97497391463242,39.53403824280822,42.892301829948224,42.299415553053755,45.747797446451315,44.722990216408334,48.88895423178887,46.07214974375961,46.6679282937818,45.25438714298753,43.3479965300313,45.195218761583526,43.17250777994526,43.167338481685135,43.58915025505506,39.1600885816371,39.325967186059444,37.059733738155934,33.4976538110462,35.71533254872078,32.002214989490405,29.617589010772214,32.58861144137592,32.91924743561424,28.12501449341832,29.16779547041949,31.862779298712486,29.849929254046042,26.000320341480723,28.731276587375397,29.7690231731985,25.24068744108325,25.627632287275414,30.006438834783193,31.48970836546053,34.01787570514563,37.93666693725623,36.4211854442008,37.818570101326955,42.63194766450837,45.97374138651595,46.90963171847244,44.88952023496219,44.55947240956758,45.936869052955174,42.81757972524817,47.610042836180064,47.989010667926344,42.534486622936214,44.482621339619925,49.21036263327653,46.362630216035676,43.79143553247217,46.932181356082275,48.94657846167184,45.1733875653934,43.33249987883953,39.586090551606816,38.99629685363236,41.17758230258353,39.008423022440965,38.86200913304895,39.56652058280024,36.11852625247853,34.86557659128892,35.471968844814874,33.30929143078707,29.70053080887623,30.681019711272853,30.098036139891693,26.96695990984837,26.863976219540234,31.19455788082887,29.33474897978283,25.490112483985158,29.73900811478143,33.16690003932071,34.15705518286812,36.42540857534554,35.696202280847395,40.15412479799885,39.5535613313598,35.347504149562695,38.918591911809386,41.64887266529704,39.28233504070712,38.60606816352161,44.35646442745929,44.495071534158726,40.2995970984126,42.46736034810722,47.277084957771194,46.40130637953983,43.26236695381616,39.161707005936876,44.01073973309496,40.83324818404158,39.68558517783198,34.95036334738075,32.82933776595013,28.016153343384147,30.713504481005074,32.40833610623595,36.21721428661858,35.70429776173743,34.833862834876605,30.232954146590444,31.52690276632127,27.16345599546876,24.70510639587406,24.859846422755695,25.390908356031783,21.537212060341144,20.934230587606226,22.00994782387071,19.658828657553908,16.010561451957848,17.772441947783754,19.405700959745346,16.70722403278983,14.551905196341634,13.120817192560537,14.004189878349038],[18.69248916734376,19.286765536451643,20.25886992373283,19.222480632495294,20.66132508390588,13.845645012496263,13.974495354038778,12.149257422815559,9.722605080775546,13.625150414094453,13.031416557551204,12.022996915334373,16.83231908494869,16.75865150128715,18.654007711299112,20.18092706746332,22.43404384519656,26.257532669056076,30.713938394643954,32.38518817992983,36.315723128437206,40.08486597200865,41.529265454854325,42.45478301287788,39.39094838957531,35.396230975726205,32.83333486177903,28.620731862426815,26.741712031027408,24.05416039289209,25.073681918221443,23.19713926007787,24.776314339445783,29.44595174724689,28.734341862744078,29.199313575244545,27.870685519337915,31.572158121449444,32.87686487692719,38.23497126295874,37.48299323551706,36.98782767211618,40.89597842708596,42.242169856813966,44.710912390095565,44.656051274251055,48.27894616833848,46.6458822057845,43.2938322262368,47.03389565586362,47.870555387626766,47.89034592566944,47.70769991086818,42.840716077963094,45.02252669938921,48.88842887991963,45.981680159186965,42.735286967816954,47.038735309953296,49.44374328534024,44.6993104013075,44.382464164346906,41.10339276975256,43.951209118847096,43.07538331079056,38.73315256057923,36.10994604174068,31.891011820535784,31.002154404996514,27.02473870140876,27.979392736745897,29.95609982661906,29.78658149055587,34.00002618378604,31.72423215064751,37.195951485186875,36.57557283049848,37.62588879412725,37.48339295472386,39.79171705249623,37.18970530983274,38.41079851210821,35.25327056457326,37.41919582112916,35.920987953527536,33.03099704848759,34.762120653020325,32.99984156073471,33.547610288054344,33.765312213675976,31.903408101877957,34.00947411925592,29.90154597359097,26.67407541878363,22.6315825148803,21.778576632645013,18.425745469081473,19.36731422416542,16.387661926016047,15.38525392695376,20.417812232796763,20.041970560308364,24.162979298814935,23.525950063834784,29.176594357062044,25.794749067552193,28.72518724794288,30.161667555878854,27.029684273144564,24.255652065406526,21.05731199698821,21.54236868348486,17.59440601161805,20.952391037749106,19.929471471297422,23.09949700789159,25.04481340859061,28.445109934784313,30.632119222512312,26.368994535788456,25.02280692312242,21.721674950946067,23.273705001996746,20.72635160610904,17.79090945017653,21.766415293778074,19.00395182452568,23.068994365709244,25.355951931393975,28.132945446249327,30.841893167671294,33.72121426989025,35.43854455351571,33.451975368530235,32.479229956377004,28.63822624933988,29.88426019826518,28.536584554620383,28.136389227775105,28.960505710629878,32.5263302422299,35.76149253053898,32.66031051088724,30.106137467828958,31.595081949214453,27.7469731063755,25.736715730504397,22.335282033985575,21.161142899656767,16.69754420354409,16.487745766038984,11.998941595819945,14.547621484117476,10.236556202261813,11.385217675689459,14.830599593358281,15.460588423648991,17.927049564953464,20.03714347119036,22.497157843587612,26.003278734235778,27.661517988738886,29.580555751927694,32.51196034940796,35.63565964621645,36.0168399116816,37.62846230131334,41.07597827068446,38.86484250588475,35.57733727492815,34.22039604405924,31.566507460774947,32.540190904736185,31.48651967640322,30.41168296812606,29.165611000613936,26.60076119244863,30.893697973310022,32.85188250650652,33.70228537664076,34.95825314758024,30.565356211829176,36.11439717919307,39.49553910431505,39.03040272001694,42.51141610969093,41.619536848707234,45.798635658136895,43.212992295269004,43.68185885651487,42.25547826887684,40.20175767059023,42.03623993176769,40.01524025407719,39.976494296734685,40.43668877530505,36.093440679371206,36.16928129972607,34.051815709403975,30.332944004246972,32.65042477499926,28.84751946322788,26.536402274055035,29.797352230149027,30.106726443479133,25.362553011543778,26.771334418253403,29.472989656381305,27.395386792975433,23.84735985061364,26.82177240963595,27.926705703574445,23.4916186495904,24.197624089348345,28.682779697396438,29.943906060115754,32.45497991547669,36.2033628804235,34.38873603144497,35.82264371708748,40.425815292304,43.97936320704853,44.64004401393167,42.368709050892086,41.825331315286576,43.030164838989094,39.742518205037804,44.497915332125096,45.06473234765594,39.58164535712918,41.33676517154858,46.153864312021284,43.44789546449639,40.756255297204774,43.785913427052115,46.024238891692434,42.37224638575367,40.308535926153944,36.632134165128875,35.727807190366455,37.90003081680207,35.8201768952649,35.538233518767264,36.34875281185744,32.75585037323066,31.568445307316335,32.40892735291419,30.175301500727983,26.475320840698892,27.726826031615555,27.323683816882497,24.244556217490395,24.278260936442397,28.748349550461306,27.09371375068342,23.45033171444775,27.729228443999947,31.137150426259915,31.967948580164737,33.9646701497232,32.94769848433087,37.402986624285326,37.120870793837426,32.85088044928437,36.15712589260721,39.107028148614724,36.893066215088766,35.973930016475414,41.69596058868536,42.14174623841583,37.962666188744386,39.8578637697311,44.760839918527815,44.15749207330684,41.065726369204235,37.11920033682646,42.13420533306838,39.196975602207836,38.09691833247743,33.3932080957976,30.93189887068022,26.236927860286922,29.211920261342982,30.580280071045422,34.33090399909182,33.507031209329156,32.3839265116522,27.64308905674557,28.595624784506793,24.281039870669797,21.921673954707128,21.64619270554992,22.27997266686115,18.214740849469393,17.828045106644648,19.32159536131355,16.90776100593671,12.955712686894405,15.524993366313629,17.358607576616564,14.696666496088834,12.47948720430116,11.091286389674003,11.5672712922833],[18.297419139427227,18.277642764164252,18.768092477394802,16.962548324900116,18.032157837808413,11.423678200159545,10.919561259713591,9.555283125975453,6.377476315528441,10.220643837067472,10.096490423718139,9.878803794155985,13.949805549992886,13.625736706012088,16.162180844231923,17.707221969071206,19.419012890226615,23.42779534893181,27.69552217115958,29.466078008678227,33.38331514160329,37.184907051378914,38.53798907589936,39.29484367378626,36.218272920616315,32.18599337536539,29.618876434479855,25.396422614216682,23.81752634926044,21.443517404485316,22.912380156134486,21.26955290331839,23.37030553306878,27.8849724232307,26.79308160090052,26.80956803204796,25.560662568100316,28.78429799195444,29.89563999194358,35.37313863920386,34.33768293379012,33.966429393057524,37.96628597314846,39.123644025226255,41.481986092108656,41.31273808299675,44.963700674589305,43.4635277332593,40.04409236677671,43.81914798591317,44.82515416053092,44.93678251737189,44.88013464991952,39.955440822457085,42.44961488011571,46.2044942126995,43.15354790096499,40.142200867478785,44.56857306798359,46.74066943295516,41.989629327289215,41.93739966520642,38.83019492623195,41.5372579666071,40.41645584607888,36.11466649823888,33.44766229595094,29.32691009256767,28.252868938722546,24.490303601114483,25.317759494254588,27.53949944758776,27.525695476647208,31.585470108088998,29.505916083775436,35.21372600710925,34.34408958323121,35.75296796577161,35.402648814986684,37.51159910309862,35.00872854204095,35.97529133399848,33.045441250621046,34.999336684817,33.21148190753599,30.46137840402547,32.163839340118955,30.8326480272417,31.18596036263,31.95412148984104,29.960829096515788,32.32931036681095,28.302516022436773,25.26514435014084,20.914764572547693,20.452171360497843,16.686772090160343,17.999764830643944,15.007215795030264,15.016727318482031,19.087337717870387,18.910900391079725,22.437016886434378,21.838022907094494,27.225664742626552,23.735499063719782,26.970918344353173,28.1365616655891,25.018577209301796,22.390268942511955,18.874157869179335,18.846583969598086,14.606379500210167,17.657130917924274,16.500174780518865,19.5559433617071,21.607965093131817,24.907141664304188,27.299938321747323,23.167220130232117,21.688524219960904,18.30567143224352,19.68734959677942,17.114479733496715,14.233197746911705,18.388745630539063,16.15906187396539,20.17318798172792,22.756067673253757,25.647041581178968,28.276669786556322,31.396042486205566,32.80156779999743,30.999919533536644,29.627568941791317,25.61341933068181,26.85981361536762,25.21946547599744,24.643689340445025,25.469443018238138,28.934676451400083,32.215824695888266,29.187130031836215,26.645135712091026,28.293310631863662,24.573478866005825,22.440187856617435,19.253996785795113,18.304258063849034,13.873979688678268,14.370435877483606,10.323850678243156,14.02895669109417,11.081555636022108,11.488774107764742,14.052247560443353,13.723814247122851,16.172424749270462,17.79582001221518,20.149653764556938,23.14089888368288,24.7553889057213,26.327037857109847,29.43863224166989,32.46353760490613,32.636079066305065,34.425289282652685,37.792905483567246,35.66942982959705,32.27051588648136,31.035997647627184,28.29538219069893,29.474907277512763,28.62154543817248,27.726991651756524,26.84831807115921,24.259134318696553,28.91741931985999,30.44294981262078,31.4250152603393,32.27081553099309,28.09697536033808,33.6398129318369,36.96387603289002,36.29222115083559,39.762067541734964,38.81691350291212,42.8983062266084,40.0965488576961,40.58728150503788,39.14588949596581,37.25492927447515,39.13224897197204,37.16122572334514,37.26176700157997,37.849501945760856,33.49940550523969,33.888624420750524,31.92519422209396,28.355521386763,31.09006793352503,27.52663420304493,24.848476028553524,28.199626180225298,29.006645686432307,24.2664605314854,25.189378734242176,28.36506935293476,26.90314756224706,23.00318703952736,25.96335630545065,27.550744173804564,23.315857532783948,23.568437527796643,28.244018029806963,29.091410411465077,32.15870379505585,35.1627688567438,33.44957423001717,35.26352901629041,39.77450953841647,43.63744605556148,44.12466088281711,41.952511301827734,41.14825845399065,42.35581128406839,38.91866893699548,43.53644212232788,44.066959934257234,38.34560974700357,40.023280354440786,44.74420239905592,41.90736020597876,39.06100451107329,41.96040080392929,44.14422934524511,40.46217258776789,38.10672161983061,34.73368275044373,33.92284515795418,36.368960353658764,34.68321950689044,34.596773054158696,35.88217464087333,32.13656019534033,30.599079735065306,32.00024142456503,30.053360165356413,25.956471964213254,27.227060671304038,27.451745394816335,24.521936913875816,24.156317484077576,28.93034975034192,27.72987464212382,24.01832370576215,27.969834347127335,31.544911851571907,31.958788803034633,33.89558903317352,32.57025299611652,36.96278527564841,36.795876948645876,32.15479899129149,35.27913137741756,38.27032320847471,35.986524793465165,34.658969416931924,40.491725720436115,40.957569214754,36.50837187033801,38.188970276246096,43.26092413175731,42.65517381572412,39.39155870273722,35.38537188436151,40.41799302342838,37.417363582020855,36.731503053296095,31.819187898870855,29.457831798220898,24.759914144404117,27.427915675238776,28.59715086759799,32.263506813446305,31.2918851016128,30.450386665337003,25.42689489408959,26.38685190891658,21.78800541942469,20.007710581280744,20.149147122378537,21.37618112641063,17.407997612227252,16.304205686901106,18.43435436089167,16.736328252328775,11.913201274554334,14.43344458346602,17.26978889303907,15.361495486173729,13.266711034068406,12.412852964342486,12.660167788467534],[14.771011536387903,14.354826880296946,14.353341816915245,13.440812025189938,14.26083601212262,7.4352630368208334,8.114216919935162,7.070352678048412,6.459047955775053,11.172572828591134,12.449521713392249,12.087142887650344,15.089854662590039,15.607663515140466,18.68698866671738,19.582025935635954,20.733925677567346,25.127864386133435,29.338530991700118,30.720005757945316,34.805542632643615,38.31759769957642,39.82515683480057,40.34096551987413,36.99188040743932,33.15651177068209,30.169061310197637,26.001357225683385,24.789130155458846,22.372776707671246,25.12977856564907,22.73422405909706,25.37883083144436,29.924669697617805,28.246773819931228,28.143519370216882,26.19886099699738,29.272250816407503,29.94241299615275,35.04660026073548,34.145042806431974,34.55031193964803,38.43981815768515,39.32380406987404,41.79006751108744,41.34719198518101,44.96756389320776,43.448884264548504,39.6882062380969,43.163655908019734,44.40266864135953,44.25647617864957,44.514710604178035,39.65831897514114,42.335321806457856,46.31944366486657,43.485777417850976,40.65692114581963,45.15147620257581,47.374136332646664,42.94513365670932,43.365707115198845,40.468391431039166,43.429229259632734,41.91539186620396,37.50514008062685,35.38920910005839,31.356234582026005,30.520101965653453,27.169924711795815,28.049169020444,30.68095359721483,30.58814316863392,34.30189861888778,32.072710278767644,37.76858196366379,36.276811248459374,37.78020539611372,36.90700786080793,38.553979542346724,35.62165136474715,36.02262807793247,32.73538267845714,34.20596816876212,32.46036873795329,30.25991223801795,32.60568992256157,31.462960584983644,32.44048233991124,33.67421943405287,32.12068440484856,35.00451793400138,31.125724393299596,28.045538851323286,23.635050551596663,23.803003514981214,19.98762244897084,20.450230543993307,17.015556789811363,16.37635722422603,19.971587817563666,18.37511711267878,22.092250675259226,20.26384842241382,25.210999767359844,21.130530065813158,23.866777490698194,24.710393516166484,21.2182880759644,18.941354999453463,15.245775231326267,16.217857374667464,12.449723575720624,16.063748590834688,16.33535771849388,19.274639914606432,22.010933721776325,25.136640608058133,28.433490880630778,24.57774172967217,23.09600743497668,19.513685657980663,20.027399482034472,16.87284067014893,13.247908935664912,16.38358345443358,12.857298808748798,17.129267139164384,19.305038065818213,22.56261937000302,24.729357569844346,27.810286099141788,29.624228128920816,28.095963299305694,26.792812970808537,23.029227759711027,23.778114634252994,22.929635991660017,22.967699446687373,24.21093317195428,28.191504032009917,31.75724039757995,29.133185045523447,26.215680008484473,27.938331326109257,24.48055936471321,22.020506474017015,18.819762251275613,17.10862961247453,12.739280379397213,12.219236009105122,9.132958565072153,12.617168928695069,10.632957764705829,12.343966208992654,14.126829897911875,13.909121792490863,15.075161818685391,17.53936125594405,18.480831765714875,21.5116538048618,24.114739357623623,25.238018608534293,28.523594609501462,30.920162989345872,30.967296852921045,32.22701958572453,35.5516631972036,33.0350935459582,29.920826412649312,28.531948153228406,26.246196603469677,27.590962040270135,26.933692688651604,26.46577219573313,25.598045476871256,23.787668114331943,28.241101087575245,29.555886544155836,30.062094588092982,30.61405353114483,25.930733700982234,31.222962888335807,34.47276444364285,34.27655983643531,38.01852860642105,37.63647252995294,41.475758721722926,39.05147210637825,38.981002234747386,37.23863867932174,35.039728614741264,36.54683340865811,34.301049680219954,34.073995054565785,34.31133622254086,29.846556546675032,29.935024889706646,27.68786628591004,24.1414385899295,26.577833841278476,23.037784955103575,20.385099659372063,23.56201719287671,24.27242644254569,19.508660846391884,20.554036053957148,23.600032061853994,22.151328047271623,18.289325002889544,21.3426246284635,22.947476599165412,18.82740082915299,19.265006014390096,23.938909769813176,24.667793848122248,27.66656763448232,30.62567174694204,28.754022828071264,30.555472708087716,35.00544709006792,38.9313094587761,39.354330738414376,37.21520170159825,36.421485876037025,37.72190179891439,34.387763122176004,39.026201439394704,39.40408570868644,33.703720142879035,35.54174544658312,40.20591278702224,37.31559720914811,34.59092326978148,37.64803606413215,39.709872584817475,35.99581480661866,33.95067984997712,30.310177236033287,29.739523554103346,32.08555711769029,30.234331808010815,30.38774019231665,31.695787889834804,28.177477570545697,26.331889617923537,27.60380632444795,25.972066991592232,21.740122467096214,22.6714472853658,23.10614527977054,20.26012764874543,19.559577071408434,24.432392637744762,23.489590435730104,19.743821750735222,23.476029360214497,27.107354984688026,27.3284269296201,29.26400451184547,27.923529598875824,32.297657903927536,32.06828854257616,27.370716832812366,30.535515384147853,33.48250414580014,31.199248437032377,29.92407990610361,35.74431036091794,36.209984486250036,31.837830097605632,33.572599093764495,38.58534915030067,38.02665953018197,34.85411299547008,30.949275676889574,36.05681395267989,33.25850030583587,32.38963793708271,27.6239231262939,24.990293948798872,20.401406912231568,23.44167136764755,24.472494652117557,28.145000258629384,27.11932964004322,25.98476911667834,21.146834062618083,22.16735715246268,17.84608995986998,15.504031310067486,15.755183008008723,16.846982079573987,13.257752554348116,11.78658702452973,13.659464691951024,12.230908857911361,7.333212655133562,9.773803744837696,12.793766783016997,11.405561204774466,9.611629160140907,9.634953776195555,10.172792646048663],[14.562300347692759,13.521573516749779,13.232508970054713,10.94602932690513,11.813968792979813,5.349498498354913,5.54048558300847,6.571246122365734,5.3284979686855625,9.323927277865332,11.441870427948617,12.289004673654171,14.00345059146974,13.890247149410161,17.788231989311452,18.797628233695974,19.0826701292695,23.588845970248297,27.346671465994568,28.987100738719278,32.94402361285676,36.53542410909698,37.82392467281465,38.06054374978051,34.7839394669493,30.874120549650787,27.995922779726023,23.87148298028248,23.22009021147972,21.39013552927003,24.496296231772977,22.613639190534606,25.695190690157837,29.957539917910196,27.963614232129956,27.283566302177515,25.574015321694805,27.887772956792258,28.250194471660798,33.51137694892829,32.12091945078141,32.686831203568055,36.70762462017567,37.27847599333452,39.499917752253424,38.84310800693087,42.504872892739606,41.26977681162255,37.41700752944934,40.94669881901549,42.491363299535024,42.50812992858554,42.96349666521369,38.04526632128434,41.176799766284304,44.953318724143976,41.89689921170831,39.43166185525683,44.06053614138592,45.91645938802214,41.462624523419464,42.18971024135719,39.52331331157229,42.186632774770764,40.413294062017854,36.14013505215595,33.844945118294305,30.021822965500466,28.801446021537117,25.757080384844574,26.32585349745148,29.077124215129793,29.35074064594215,32.89541007663632,31.081265380421012,37.01051253712848,35.37620111507767,37.31108792563685,36.290272160196736,37.726703408070236,35.016007951335475,35.110103734779614,32.189362551246624,33.35072127125931,31.191595732740616,29.23299713305763,31.46947167042821,30.931540925026656,31.55133725735989,33.40599112262514,31.62053439904071,34.64286969438316,30.88763141769906,28.11048197194634,23.490148959081136,23.900945210017525,19.792550134541962,20.881464677096016,17.67879049178292,18.089366189706624,20.697703804847645,19.457530530638497,22.369247658478077,20.60790733869419,25.04893361335672,20.8031089731351,23.80459189231067,24.14118805832351,20.566665915571367,18.7259408623862,14.520881213815857,14.897809555126768,10.74160357573818,13.698717957715493,13.958574944195616,16.447212526630214,19.470959750127037,22.222818479946458,25.881592483379006,22.376025670445745,20.56773240571958,16.946362328988805,16.8805330721438,13.704205100954637,10.068682649863913,13.464562498292398,10.739309055826668,15.104549375755443,17.732483535737405,21.374212801608568,23.129103397994196,26.639843510068697,28.056782975175626,26.971103617914814,24.95488387229885,20.924930268932172,21.322449128804404,20.123219808073955,19.826979061552212,21.327580339169106,25.01961823927005,28.79951236965699,26.41582839406157,23.560173766398723,25.65599205566088,22.516569635040632,19.824689945639804,17.148866208548693,15.8217497366861,11.71212863724148,12.25242838169839,10.232504961040995,14.606523144414606,13.667173976474734,14.683182556545619,15.739842035722004,14.53312254184356,15.579079641898952,17.30600456179832,17.947695003281105,20.04096449115833,22.63772423026316,23.02567482657527,26.666115981124175,28.774374509347158,28.29993473270162,29.839041422476484,32.937260981870274,30.44539746800767,27.151013431348503,26.052030757828643,23.743037702882955,25.61196245532575,25.380408771518752,25.278563967061295,24.9872929588934,23.210463074770708,28.070416477665827,28.77059468146722,29.43414561531192,29.333067286303645,24.975794536132156,30.155939528879333,33.277229413769284,32.8287379363065,36.57766463165463,36.16116107298371,39.799294001656456,37.03453018841804,36.9469249538477,35.12742054552178,33.18398803977986,34.66213244806286,32.421881757786785,32.32832909328579,32.6261292607505,28.07812462383142,28.596975929994073,26.398685207920483,23.223742007194563,26.063612642692156,22.976648442425574,19.81542729230943,22.797518942634188,24.18029260172447,19.47641552732971,19.533464318267846,23.183590071865606,22.64100280968237,18.169423137157192,20.973226355435983,23.161464621082484,19.347743657764983,18.959111288331837,23.745114883510944,24.03952625538746,27.74554034245164,29.807783741105887,28.263724148399906,30.521023736678323,34.946573475084925,39.10651988726806,39.477526801931525,37.648123556240435,36.67972273047599,38.102605794317576,34.743827681167865,39.19851605437158,39.37534509984131,33.43875219601851,35.32557900394857,39.76335017720234,36.61249278657433,33.81052003025187,36.7914951634197,38.5879629360844,34.758102744453346,32.55665935364738,29.236407851042483,29.07970150481622,31.749944965090034,30.333429389987952,30.868370532928363,32.67292002944144,29.153376923825835,26.81293866694742,28.5761081525172,27.410991075271387,22.842172705725535,23.529841408819834,24.62957373971747,22.010139912517648,20.710334780488896,25.75316374959438,25.2667117786424,21.396594742432534,24.598984998564944,28.389289405067746,28.1750684535024,30.188491905411464,28.676722315606263,32.913289318693785,32.607009260055364,27.528609989808448,30.61181266102148,33.42265462193314,30.963431748921224,29.34143627929265,35.28192843657231,35.559773629774355,30.856302937769602,32.500116794073996,37.63743656565331,36.89961253200603,33.492668568756095,29.4262080106223,34.44634839878158,31.438792589496025,31.06716603319526,26.031962665036517,23.738248822459834,19.105854205484793,21.556489851611637,22.51014136479562,26.11048995238077,25.09359545868374,24.494082837760995,19.4157030512,20.74598989914529,16.053805527194083,14.425353453241398,15.720584892775321,17.483882446098217,14.449351387312923,11.788563758360114,14.073209682943792,13.803747448787961,8.496489166019886,9.739833511655405,13.894656048042215,13.574842772210216,12.160246702791166,12.65341281151335,13.291653757000988],[16.10116858725457,14.394241641645065,13.559767155707105,9.752415296958706,10.07704081561874,5.636361154151906,4.241966179473804,7.51461234427994,6.042757485666137,7.957868761857019,10.960951859184465,12.987490912337831,13.021754519142542,12.273759361535035,16.9103741549715,17.92102929850914,17.15967328331381,21.684529303494013,24.86892641826167,26.72603473493837,30.507274307674244,34.126068098671254,35.18763436965817,35.123607323258206,31.92777531702349,27.985724017798074,25.23424419563803,21.22364814321627,21.236585315512666,20.12427062302707,23.61326189658639,22.296221056908834,25.800632590852526,29.66320854825521,27.326694889165054,26.01778987231773,24.584315549660726,25.996949108164277,26.00649810353175,31.37971988532738,29.466889105342666,30.205596876835358,34.327589264774986,34.55806515471331,36.51236902755279,35.63926137040311,39.32762307164927,38.38675903776607,34.464993122165616,38.04386304394641,39.88803268727301,40.086687317840465,40.73768749124823,35.786251558726356,39.3805162604434,42.90360258008607,39.627696175990856,37.57374171000653,42.31220899581044,43.76483042243916,39.32285066321176,40.392143841920294,38.008524955526916,40.35134399508355,38.28865957693858,34.192945808220365,31.77785836336172,28.23978563405301,26.66549615672356,24.0653706484242,24.316480044455957,27.22895604010266,27.835115982124414,31.0866932431579,29.7099848229289,35.80254020740736,33.97513472880715,36.36039932138892,35.15798186661533,36.32992678240426,33.883683030566736,33.63839422844783,31.169759014618826,31.990591616724046,29.39747093149092,27.71988872663361,29.79707564891144,29.939080563436303,30.172927834655717,32.70430273780139,30.72545932239162,33.90297141913029,30.35770993894542,27.957144542347287,23.222457669268817,23.96757965948059,19.69044803274458,21.2964653128846,18.44553196198116,19.89157040509284,21.348543185598192,20.537447646592696,22.473969091774894,20.906944993808214,24.70271265611408,20.467737936947408,23.757376670309004,23.59656219700956,20.14022913312634,18.750361739602273,14.262773496520712,13.710942366136772,9.361688707449002,11.131721319665232,11.30396906967717,13.126725657455781,16.441516095542333,18.72765011195001,22.78768964459975,19.744067884211397,17.632539323893727,14.047689873248723,13.23863069532614,10.046292947546057,6.502920649334965,10.24984369926561,9.109810800084128,13.163718146783934,16.302895794843216,20.14512652336934,21.52652321571026,25.42953655660934,26.288704880099793,25.64295672278676,22.868111883736272,18.574610517729234,18.718245505558244,16.954415608999394,16.197947457893665,17.90146464285945,21.23933538860161,25.19847570808959,23.07441381612368,20.31521164136963,22.79503375153459,20.070018390877603,17.174059331822075,15.22231158047331,14.457503770509236,10.988451424317551,12.75106239274421,11.951914703917291,16.84243073170337,16.91358592568953,17.23447699916117,17.516430209697408,15.376542469399116,16.25123284647036,17.04990646066689,17.38800964402008,18.310253904501455,20.761673246414613,20.31592479283784,24.288851175036207,26.098537657041565,25.085604702630018,26.97995228159669,29.835719320538967,27.46861584476857,23.958549181147138,23.193638444070473,20.80293022229515,23.19959934150164,23.42875041423882,23.706778841840418,24.07339022546618,22.342436612821622,27.551713087027938,27.561163773857295,28.420230013018507,27.615973767713736,23.761652535200195,28.756058217338694,31.705675213545607,30.922981304896346,34.608970352699494,34.108465766183166,37.520106620870855,34.38655879391628,34.32728297831515,32.475112195299246,30.862517121151846,32.35523972644627,30.19531153095013,30.31781487945116,30.774311021147767,26.24300124047923,27.302319554109886,25.328957344318358,22.58981206837753,25.932771632447974,23.383009653022448,19.783911502421482,22.617641653411493,24.71772483814452,20.260992657042603,19.370158615410507,23.591166147027835,23.98856238103242,19.19126907798141,21.694837721561317,24.43441277176547,21.083684101746393,19.98214550064627,24.72943092855354,24.48600994389976,28.84112865567066,29.83761037181823,28.594625336256584,31.30978305386342,35.56299615674547,39.985349830412865,40.20601663901725,38.62344462988649,37.39797185586203,38.85096736144099,35.42119456164842,39.60994965950012,39.66878087946375,33.52864302616594,35.335927293024014,39.521822436981864,36.1797827945333,33.250174090204126,36.0305181602407,37.623110559605045,33.759413284447895,31.24023068140919,28.432798928561656,28.57116250205975,31.58294384910852,30.736484794397725,31.57704649684951,33.91580863541209,30.353709289332954,27.61240302710442,29.97202498021291,29.219217658592378,24.394793801353867,24.986549945651905,26.750902124104602,24.411951290590704,22.68991064940918,27.802568411355516,27.79041841136169,23.97476940948299,26.644298594729143,30.489872748499845,29.826737646652607,31.779224191269833,30.012603612783114,34.04031099871945,33.79233743513426,28.394785729956713,31.21547174481823,33.93175445249165,31.38538043072396,29.300419679598843,35.26960605140595,35.46162440544633,30.452843080931743,31.836487839104322,37.099425220985346,36.27114283739281,32.64425651317887,28.506300922308462,33.39539753924469,30.251989140382083,30.525552914620032,25.277481269139773,23.351661469874987,18.88769581465256,20.577354938886934,21.272488481487944,24.65273699084257,23.531352773815357,23.542067981472815,18.2175303526754,19.692509426142323,14.679596915846007,14.246673798163492,16.396389264652107,18.846317893691317,16.347108455069485,12.865610114326792,15.640102083702605,16.370754753035186,11.029339918794076,11.517315549906746,16.332252714644408,16.829833473480846,15.702894061012653,16.415893259977818,16.94159983491192],[12.016607118515118,10.191147679019947,10.309973385804312,5.598346481965777,8.92656281134136,5.880631907283084,7.7087465204404575,11.520654368622667,10.92639593398968,13.13876611828228,16.015932560799463,18.021843868358403,18.232947147349577,17.18687267868332,21.991198944414702,23.118417046584756,22.05667824863666,26.525375426929667,29.267839896374003,31.309283352353827,34.92264306334946,38.52084962542032,39.382240844679835,38.98381263711877,35.88707240343085,31.979117639933254,29.344087104081453,25.524918002527105,26.027839446658195,25.17912433390225,28.779312477044158,27.50908771045121,31.02245591944004,34.89931511542415,32.505324582402594,31.07614866419182,29.5755967409115,30.656070102480456,30.32333648787715,35.497956886086115,33.32364196441243,34.48253699187807,38.59520550206556,38.454306155849714,40.153081758458505,38.915925286196334,42.57268291051359,41.98124428830637,37.86790188473994,41.260375951955496,43.50934358276532,43.69137525408501,44.65974524889833,39.78479280193236,43.68424105432743,47.1636920441561,43.87159514102432,42.13159597837998,46.912275180817005,48.1563612572682,43.83822734806583,45.171641639559155,42.948283387075115,45.12619901666508,42.891133423991654,38.92242600351208,36.43040495854156,33.077940453133564,31.188528088305073,28.75542407000863,28.67829946427869,31.41940896751641,32.45565551928902,35.69403319135651,34.64984188593926,40.81440930504657,38.98276357721432,41.502363897883896,40.2244660984824,41.23201464568983,38.75855037243753,38.20527378713493,35.70701964012467,36.15708075166206,33.467305075026935,32.23000003910648,34.485979488365906,34.87704506850848,35.159020287766516,37.886003545634594,35.88641735875652,39.03827305220244,35.499056689791125,33.13800632101932,28.393911163397465,28.97730477110402,24.666722774413635,26.45524386348786,23.52929946286057,24.519936698137624,26.34949572800843,24.985551525273838,27.164894889390933,24.93440943916049,28.288359681279,23.600448354639976,26.24470667415991,25.49317823918295,21.50611627659784,20.947523270213615,16.264791086944072,16.83253435271988,13.229334676497833,14.770113294791818,15.780388309647519,16.805705330248514,20.47745610004666,21.99289328305888,26.566837039364184,24.08269064621215,21.606594261927764,18.188236134964963,16.360423885633125,13.421354980379418,10.226450606864272,12.688066348085695,10.93421331625909,15.103995823776375,17.785005161263463,22.3448780785096,22.50365731638816,26.62527580023251,27.795380253640072,27.91743873797095,24.741313184853578,20.711514856987936,19.416086403568496,18.47475973120811,17.839116137018415,20.44518674333164,23.375621430980907,27.806093932265426,26.381315688911453,23.667543437791323,26.531715513990697,24.33642433538489,21.24389556125139,19.771621164354023,18.794709939545662,15.6389738626051,16.676049973363675,16.150323155428715,20.4983498723426,20.054401068176702,21.307514713465153,21.938607156143213,20.213730312494512,20.640297381646892,21.89593712248254,21.435230689493288,22.027518622621834,25.04173615513308,23.781969866711446,28.025092693210357,29.01881632326955,27.231518462614748,28.876431466316955,31.229884614108652,28.385000408581572,25.086533448078807,24.669897247064085,22.96929677960138,26.072230655300682,26.819784226353256,27.62870140134481,28.184949858940314,26.956640353826092,32.01197754064963,31.781659928215618,32.34609892478236,31.064459684606128,27.022936162681166,31.55601542723197,34.27578695779855,33.83932062969188,37.71947157573028,37.66805005741031,40.678818123972725,37.6134358654656,37.078181762771756,34.893089995257185,33.24629983400459,34.22157026236053,31.743935915091036,31.501603025670125,31.377532373600715,26.60368532584551,27.504780086427672,24.846711957440533,22.7148025242619,25.390364740258832,23.27701701890894,19.58315185268319,21.27670071779616,23.463683083775084,19.028964189360547,17.002985724527687,21.224428770827394,22.159658837771282,16.56358469636191,18.458761216755416,21.383633429791082,18.18959508876063,16.15436273441015,20.788291075352266,20.5793412095274,25.302216523834307,26.12340653791672,25.455788133592268,28.28982753869698,32.86177770984963,37.04655022306326,37.68388394967637,36.750678444486326,35.905168162085296,37.837586479241686,34.90452699777497,39.08983591032536,38.52464091840308,32.47642657844894,34.87894560169482,38.68934457562342,34.94572935317074,32.45945153454768,35.630935866257396,36.47945612205458,32.31744281752906,30.739046173490888,27.536039571235367,28.815693579854887,31.706009697061788,30.573102930663634,32.04881084542209,34.2573518321818,31.30220725490461,28.057167721005317,29.835692178647882,29.687212497873226,24.946496837854095,24.53180755282348,26.31406652313862,24.072478608008513,21.590359250223052,26.502287857700516,26.57171221185734,22.374499583007825,24.478479336390215,28.457912057306203,27.68207452252295,30.159040455282955,28.897535733003938,32.80903792735118,31.838158038248988,26.408600283584125,29.768584584349544,31.893603737422822,28.982775871695583,27.381665843997162,33.376172986571675,32.851544325598276,27.80000872912844,29.829601170489934,34.813081677611166,33.40481994576595,29.710020551269018,25.285030795789815,29.900654035272343,26.388623700715595,26.53474164011613,21.19835068343902,19.829315945366346,15.149534694710784,16.388637729374672,17.70172677457429,21.266481698869647,20.86269905960775,21.298335529818058,16.658856913319926,19.224641723767608,14.724651846978544,13.401232774620592,16.964964637697644,18.962133485341635,17.577428154003176,13.406525833582778,14.637472401077353,16.10422001596139,11.921045963107009,9.737694263061146,14.505333486682254,15.888724709675373,15.327146684787557,16.663781708100583,17.924987493926405],[16.723068669636884,14.403965565528818,13.82948415433162,7.880363752162614,9.810696957678973,10.434037098002232,10.523161858083185,14.982597274223709,14.083848054720814,14.276681441984715,17.46545920979527,20.454725419227653,19.03883526707171,17.22743542844461,22.440535271919448,23.57396284687583,21.256376627217172,25.376981374849656,27.041594826684463,29.41184551255881,32.56821195766717,36.13523557866472,36.56564372078241,35.66479718826452,32.84277614340634,28.99263430304594,26.761461690281497,23.369240200903654,24.87965089874745,25.100957913255765,28.88606825492576,28.457511919187848,32.30956904105258,35.58354214111054,32.87543170766795,30.668637294034163,29.664266655285044,29.441002418140272,28.604708513997316,33.76896513822041,30.800706021093884,32.16193880995794,36.31826497503882,35.620898926975954,36.78595923356403,35.18308464903101,38.80924641980304,38.784779754353536,34.66130298036525,38.06723019023525,40.783038154260346,41.28272229637782,42.53706952614906,37.71974092320245,42.242727737812,45.24891147267843,41.65753370468913,40.588878457021345,45.43422870950692,46.02223666280033,41.7783486677402,43.57031673650071,41.79706121917678,43.41034916345918,40.81657913864761,37.241702744110896,34.559064737892236,31.757840939674654,29.33539986676644,27.640114985733472,27.03516419727576,29.80782694256216,31.37570930775575,34.11892134843027,33.80743241195882,40.04451850642984,38.05902585890092,41.15213680361412,39.70468300850488,40.354678275684854,38.35755390472924,37.3746671243006,35.604983379440405,35.5865533163838,32.350696423773385,31.549525344569346,33.4487972872477,34.77372345752513,34.45452580623372,37.99445562645801,35.73566815778686,38.955794704148374,35.76942968365742,33.96615780769134,29.24014395034086,30.136424315757434,25.801544091532072,28.202086458988052,25.79481305342185,27.86151649784423,28.492874326477878,27.74126150445343,28.76973826269209,26.9328806919826,29.413842450558672,24.97807998353641,27.879475656845763,26.513495287491203,22.902339489612412,22.950092749881954,18.301857129202464,17.687744891116974,14.44343037703946,14.063941732232056,14.81987261726956,14.35603214843207,18.081122391135526,18.41589463677662,23.409359679189212,21.944557119314567,19.07625972370074,16.170797927230673,13.00595068842304,10.841839544884573,9.1995121651877,10.981600457508298,12.116049353714688,15.014501479683732,18.072980846619828,22.594298446148958,22.077546792971383,26.60349228036873,26.864553829836684,27.712708227244605,23.480150093715164,19.327987485981186,17.412560529153527,15.624136488365522,14.049781125892745,17.122253068040017,18.922408473720647,23.61445928602927,22.864122739110236,20.55774790003612,23.98234451300901,22.65742202096107,19.504911690292563,19.327186793867284,19.222271029684904,17.16639539946108,19.348195680976772,19.77921905597885,24.543893677753896,24.94697964018337,25.439280712891943,25.3946300323384,22.821401073314586,23.170482189306572,23.32430952741922,22.629887342664947,21.64584465637617,24.2169123620756,21.68789092317044,26.229739038779908,26.62717625835575,23.835807472174526,26.05199989260153,27.78653209754239,25.200054756462084,21.642585371248348,21.981514103889687,20.349930666000407,24.286418278942207,25.76721831051893,27.10744901238326,28.546266490412965,27.39541654593414,32.71434956841341,31.5790844662726,32.414779713194335,30.17104162103314,27.049713330771603,31.10951134279835,33.4690022555476,32.52460001977196,36.20948578931664,36.02610681765923,38.597712285869285,34.96417762990126,34.481072058577325,32.275671994726245,31.25339184081076,32.17722484050892,29.893436633784788,29.997376087596006,30.089064079585537,25.500208770908188,27.23754354114535,25.002046837527452,23.701957045108937,26.942991981986683,25.67554591074115,21.614489645998407,22.943039995356813,26.027050903254654,22.1718292522983,18.953329457243367,23.69972960799592,25.84685116071531,20.20704903230341,21.52824815595913,25.01407612042348,22.591692980515713,19.7927348444017,24.010619636301836,23.039232207958086,28.47612436433319,27.659855280356677,27.547432117616832,30.945314424428332,35.14192482749652,39.58664671403282,40.017236227707976,39.476638374097334,38.301738296779746,40.244967085587355,37.279596477469454,41.00732627563681,40.270614358193,34.07680672781503,36.318317461085655,39.65489036490659,35.68828775938065,33.10096928118897,35.89824981142593,36.35215198680674,32.21328470346387,30.252133387623978,27.958631690547218,29.70497735792856,32.99052892703341,32.687489114033646,34.524670204231214,37.37575607151274,34.40169962703217,30.76409514415428,33.26122136243879,33.575518024896596,28.654299641685675,28.20428600290902,30.701969895151425,28.81359012640872,26.01629591491004,30.85465278438818,31.454254888014916,27.455605780196123,28.923270814738128,32.843315629285144,31.539812144465337,33.862457539365614,32.30284284579698,35.83902709964686,34.96732167264736,29.28173743259878,32.170683124802586,34.0791068611926,31.118208609777408,28.9176535051186,34.758592345598586,34.06426059390504,28.693463277790684,30.29392420668918,35.30712089903123,33.72705659075974,29.76305688873952,25.33879367097258,29.504453601940504,25.78950065108601,27.060676531850813,21.595198364705197,21.06223531047356,17.054192255371493,16.695038267656265,17.542385030932394,20.47905413603603,20.05448896049958,21.64827505886475,17.051875173732142,19.764721721411572,15.288907822745923,15.822548681914482,20.064230132863752,22.732650537284368,21.838846687809767,17.242970019486688,19.00711477575301,21.257090750708898,17.015497236118776,14.917461437844844,19.837007403578667,21.709791696226393,21.23113294584102,22.49946946853749,23.447959038023352],[13.910024785861463,12.106026432079075,12.948965973447397,7.224029853997945,11.659750753671664,11.569809537249418,13.028348373326853,17.26347232592936,16.261039131042676,17.36166462438497,20.21525717254616,22.9788966536978,22.46900244693449,20.518039802743314,25.66095294023277,27.06153943604114,25.167810370255385,29.31591743003378,31.099272354578932,33.63455706175631,36.78360463528252,40.460509739435615,40.833923147982006,39.94277799040281,37.2126804732501,33.290606784231294,31.15767435405824,27.702710502695222,29.023585299556093,29.00564977679147,32.46047419788297,31.963697243721896,35.59797707285437,39.11527726072778,36.6313337592768,34.64742664755954,33.61450344379971,33.72577748477453,33.002444573707834,38.181515631418904,35.27673953006347,36.57491920845822,40.755335756703886,40.087232205002245,41.20356267360412,39.56301120936404,43.1730791118355,43.230008390716556,39.11172825743701,42.47690544026804,45.237759335536765,45.70436457458974,46.97499513825433,42.16851579175325,46.625154192063036,49.69202328490907,46.112476441987695,44.96604254042701,49.80777818020111,50.456056900242835,46.154497491484264,47.816452297249846,45.92649738839994,47.5251806284495,45.06156538352711,41.47330375248662,38.59450788560523,35.693304810737935,33.13102806034383,31.152609365029956,30.462718384643903,32.951433216534305,34.711112005009255,37.73631037050896,37.47960285135618,43.77322294275223,42.04200703320061,45.01636645302091,43.73930124473422,44.55798989227759,42.498664646921874,41.645006415429556,39.684318648913965,39.75405910625759,36.63753250697128,35.77171304972125,37.727414333785426,38.8158074480103,38.55016570860706,41.80711583763195,39.472018495373845,42.50297162230113,39.14176316293145,37.18299582404526,32.423571711384234,32.945100071097684,28.574510209776665,31.130260205927343,28.5641173011431,30.143482826232848,31.564214700110757,30.571416009111623,32.19360176307168,30.10513492175733,32.8605225747911,28.182145704776026,30.744888884598723,29.372473146645913,25.40787419472198,25.57145732629616,20.87155586648965,21.09404873276513,17.82948541049678,18.125007192426864,18.923631189072072,18.743770414479524,22.39222656577457,22.752868218945295,27.547113561649233,25.987672850003335,23.003655871862545,20.064387684126483,17.168610677208154,15.120666082603794,13.209034053636286,15.125576128191513,15.049628000144683,18.413161114023943,21.102518972429,25.88952540305187,25.025526782550436,29.478229664921443,30.177605485467918,31.157820340924598,27.101844754419858,23.14898523427619,20.754877708501873,19.625395067860655,18.303120426746734,21.530182394827584,23.194046930660488,27.937307378407517,27.292051502464897,25.033263691971595,28.452477199269435,27.026307964006072,23.876998930229945,23.41234088027701,23.03022426970027,20.515541319778233,22.12598944231074,21.99561875255741,26.493654518772132,26.073871738998786,27.167359819482268,27.73039400241485,25.64423073810306,26.097174233948184,26.78005470831817,26.130148786187917,25.647631447646802,28.439417350186723,26.078645417565742,30.606917272475457,30.91315424866565,28.03002802512284,30.026035375686206,31.595706425587565,28.74771363519012,25.415798353806874,25.787507860259723,24.474398810069015,28.441046838324368,29.886217833875968,31.20477015964879,32.40082170719179,31.275241928154557,36.514217852824686,35.64519562127271,36.336866264631055,34.254023228322524,30.795329395167055,34.834737885130956,37.199536728606425,36.540856255822334,40.327163253779645,40.314828524416406,42.838416833444505,39.34919607707193,38.70395816223101,36.38877840830316,35.22237772927618,35.916399303541155,33.444420327512965,33.26086553259679,32.95568271389034,28.232922206308107,29.606021238295504,26.83396369788038,25.678271610265476,28.240160780177796,26.958264059058774,23.06818391639109,23.729783717512873,26.47587381129212,22.518826050690002,18.974168641672144,23.36298193799009,25.406543204362784,19.348267204302037,20.239599318048597,23.53932427022455,21.009342319754598,17.698514409949123,21.735258238596607,21.144192652293942,26.56321409280488,26.171612052184134,26.50778435215107,29.741894031406407,34.31812962771142,38.36468900401001,39.274545211399825,39.152172985354156,38.43025006747046,40.71353992486227,38.14526953318222,42.013860429308814,40.89271067908387,34.88953740911697,37.58762658481917,40.78835133941473,36.63328822138256,34.4401841134852,37.60094073736961,37.62202171928116,33.29211086657156,32.17358646485469,29.363407734637807,31.694975979364244,34.73181798999914,33.94163180360799,36.00693847820578,38.47989139520241,35.884609464961976,32.17261988024883,33.975813366021036,34.426864629598924,29.698663289524934,28.683627193545668,30.793417130658725,28.807375078131,25.756395095973282,30.3682965551377,30.715799401899876,26.408447942423358,27.742333224407545,31.710630049750293,30.61151288813274,33.39370704214665,32.379641587075895,35.939986765870984,34.466428919616995,28.967413605379424,32.416085613086075,33.899117164889624,30.68921273365166,29.155143912323652,34.97546129736562,33.71356207426887,28.487505933397486,30.768110647698247,35.455904749468445,33.39946547587797,29.49481775216085,24.850161738409664,28.745299572494293,24.678184341628576,25.52502566679405,20.0860939549778,20.059912433108384,15.80694661294734,15.193626430580034,16.91349390791958,20.090634388483924,20.464162335606154,22.139129054024266,18.267766202264717,21.611034512613653,17.585686688336136,16.955886631302274,21.547194895281212,23.619103521386933,23.019029440457402,18.461111511047307,19.102463926143294,21.2529779007756,17.70193117995395,14.43396761328067,18.805265097988414,20.77731565169637,20.49925894875869,21.924995478676102,23.32748290334858],[15.266226983228037,13.62177597604088,14.836649424220344,9.54052782418849,14.120407390784457,14.959890464877423,16.55374529316289,20.858981556620645,19.88885082710461,20.78439984799999,23.59975894695525,26.5210574421764,25.83265610804484,23.653766080866344,28.844090385709674,30.31294884677089,28.13927679608384,32.127364444955724,33.48432660807422,36.178553419435325,39.09867778805754,42.753817809589854,42.90574197160309,41.763951631264455,39.21773946298516,35.359255268188164,33.45159772742299,30.218469297584882,31.879128863879913,32.1638849785317,35.59242307001598,35.33196129918564,39.00426018927142,42.394536493786546,39.867673728352315,37.68918514738223,36.788955617559076,36.51842525271684,35.5976735054246,40.676807260882505,37.49217834007959,38.92706377187603,43.084713683839496,42.14613906657119,42.97800627346266,41.11608953406956,44.656261608174255,45.04138288282011,40.919063103781305,44.18658791991558,47.20868005128617,47.77413744899083,49.22170761119424,44.49475855678383,49.19200588336908,52.08383726131756,48.421218582999884,47.56873383778911,52.416246032523354,52.796542798484396,48.561274730110306,50.39994947103522,48.679098828853796,50.030226829913715,47.45374303114879,44.05281773507523,41.06020317994676,38.38254136060773,35.56570610098671,33.81002204961471,32.865774917477275,35.20797232287661,37.27513741962603,40.17993323454038,40.259525078804465,46.56940083313627,44.86635393973225,48.013665537246695,46.715277767407485,47.42046314139236,45.50344700279973,44.47751558373643,42.70215188637474,42.5592914208323,39.30108398888217,38.66430478817874,40.54863977745883,41.91910857341996,41.49039983976266,44.95964790895975,42.52727666592748,45.5102307569517,42.231637847102654,40.42169337802953,35.677845015395405,36.16572280575552,31.80024671862053,34.580825981508326,32.109463534677346,33.78315863983922,35.12316238018151,34.13897954669854,35.62384083077071,33.46523555610103,35.92761178699269,31.213888358463066,33.60442545086141,31.92872233821226,27.948063634996775,28.491809595483478,23.848491129274983,24.139412573343897,21.13796380668386,21.0855031204162,21.944122528695516,21.309790631037227,24.896841042840396,24.715483076111884,29.57171513737785,28.476143145450404,25.339747450570414,22.67290539852303,19.387029583320587,17.762888124342897,16.32169957353891,17.795711797074464,18.072431789161936,21.076231269988895,23.58863220587073,28.452486487523675,27.017450730170847,31.52674995126442,32.10313476599926,33.535858522223165,29.165924554808722,25.40264491495779,22.415160588958152,21.452831140558924,19.990219632840272,23.474455119793962,24.528340584373755,29.347476737241845,29.170247198162706,27.13403085333291,30.740642590795137,29.70008538425687,26.555841145124727,26.478114126145982,26.22740102494583,23.957027289683776,25.60072236889999,25.625076574227407,30.075648604237426,29.614689846156473,30.799512548198074,31.373577159421593,29.24597654244825,29.624188554198028,30.214803729106677,29.375295002034044,28.519349470717362,31.31046051630855,28.478588232108287,33.071215487920725,32.95836470627487,29.565381029526993,31.584121452883625,32.69435652043517,29.796289490869036,26.60512317009585,27.348478696209995,26.372246080918824,30.688563459145733,32.450502986426514,34.0262301718528,35.4555788303488,34.469948046837914,39.707083734609135,38.581883617386204,39.25010738294972,36.81495501657859,33.55569813184928,37.28234914072688,39.44236989697118,38.786335283649265,42.54385591517187,42.64866366321372,44.87936732934226,41.28235846250815,40.49164700212822,38.07660311647467,37.09577822640617,37.5569039344718,35.058035502305934,34.81929172565451,34.315936291416115,29.665692413122308,31.15489583821847,28.25932604621972,27.64025541381464,29.955910625292322,29.10957479939744,25.235714700953487,25.256077781596908,28.157347132862217,24.514025335909235,20.30344550880576,24.55850035178329,27.10291291374185,20.94057341901979,21.235691356787992,24.599660897650114,22.495898614546864,18.613018391240466,22.128219012282166,21.380184122473057,27.010949850394248,26.00359729024701,26.942587373775396,30.298936816131466,34.84663529305312,38.714967413771916,39.82239076601659,40.20105117313286,39.622860888926844,42.12636010913765,39.84564529674238,43.534809851077235,42.05979175795596,36.18337334878432,39.08988201169692,41.91036983725111,37.55066338179694,35.61981204477728,38.81015206168608,38.309371473049346,33.91650014229232,33.23691670412085,30.56394453275316,33.51228571398811,36.52770432467562,35.826387441079596,38.21994126004405,40.74302366260331,38.429910078881846,34.49301191872793,36.17053872158445,36.96067462800302,32.313931326014135,30.91197074802341,33.116815878920555,31.282147538925802,27.94307227144295,32.300352508980566,32.775308241940806,28.450999864990283,29.326389632498532,33.22797573260429,31.986345536191536,34.94510786449315,34.14824751922628,37.4813731065397,35.67187644063679,30.24951719918465,33.77052866876264,34.824725953208805,31.471166302971294,30.109864958677893,35.73427773099745,34.00222161768255,28.808118637427444,31.29697791969099,35.68836150950099,33.230665852483384,29.296815229224432,24.610745276805922,27.959196186347455,23.61804595530995,24.773424958985498,19.468488389586707,20.277030624474126,16.460289482009586,14.819651872730793,16.802027406310692,19.633852011253452,20.576190380110667,22.849780908843954,19.66774123393376,23.375604934829195,19.81515922069644,19.292156372712572,24.271888864109705,26.243067945817483,26.093446816090047,21.423089335000963,21.622443554788266,24.055495454479463,20.9486514461223,17.152084687653087,21.164885633079823,23.42088810953878,23.33523217718314,24.841604508214374,26.336687469331128],[16.782400581034054,16.145998454222042,18.51354984116791,13.844408254371789,18.999021300860605,18.92874586882437,20.69859611354839,24.710046589715546,23.12605194168454,24.138411414564978,26.471135176603443,29.483882419077446,29.34956235969415,26.657651124061243,31.720465113778474,33.59261304543812,31.64003139079812,35.43947013746519,36.65249938971831,39.734567887701154,42.470148514530784,46.35313326432758,46.274753888666886,45.13600354064403,42.8654462152829,38.85677561104959,37.30464611826908,34.060420883199015,35.63143755863497,35.96037742759841,38.729095194105845,38.86161812516498,42.25170131178458,45.678789017180605,43.47828312523791,41.35145539365908,40.78133372498395,40.58858035510124,39.84854687823097,45.14291565145162,41.79532557687251,42.85613967429414,47.108570087993975,46.21143090165827,46.840579019883826,45.014691569715474,48.55377169957251,49.13273847909739,45.18163532873775,48.5891994581791,51.61603581110215,52.339781005392396,53.70071269787023,48.9391539702596,53.628625226147484,56.385273280659135,52.55726934434533,51.68912894040029,56.53234913924701,56.801187446263164,52.37193747888364,53.99032164563194,52.18272690668882,53.265110839821375,50.89321706578986,47.622751121716476,44.166897045626705,41.51504407559596,38.33715606985299,36.38713105578098,35.1864652931472,37.076331346339465,39.52148030432775,42.65883675592928,43.068884467236806,49.42880296871262,48.175132948233326,51.32088221660697,50.34285689818786,51.30447543261109,49.607082043529,48.838846168544784,47.17215903452548,47.23478592461764,43.94429093328739,43.078183844027734,44.689411305720405,45.976780709453806,45.22152519795567,48.45889272648195,45.7329649440041,48.35520871063389,44.98223996426949,43.22193701547632,38.51650025413985,38.560939491613375,34.241717208926175,37.54048182284234,35.20963009276783,36.87178381829084,38.72432465574484,38.0552112542045,39.79015325710896,37.8858425026789,40.69384670741522,36.002786409137485,38.443167213232094,36.90574080557692,32.84905995274958,33.24290887505047,28.569757193808925,28.92105127409582,25.619477367233152,25.705551461675753,26.007701190049744,25.427784512843363,28.720615412210893,28.44807422820289,32.808801928843124,31.74510960842789,28.420200639891043,25.913351648287968,22.92848031944087,21.710159903239447,20.51283753329257,22.596449470807965,22.849613733390832,26.074806344572654,28.62865363864129,33.49322404954158,32.13015731194029,36.61599733447165,37.24219560484197,38.63472347693535,34.28790368615208,30.471284114987945,27.53578715261023,26.431287828413225,24.699653595754306,28.070173919017602,28.635363019982126,33.367167002148435,33.153515804935964,31.38837387073714,35.063191966837415,33.94162633448916,30.891211424573903,30.7705288536816,30.69538699253703,28.131187906758385,29.81106244869801,29.230088145702748,33.66269854013617,32.454401318706466,33.72830495162835,34.82775564985417,32.89745785105887,33.68965749860097,34.29060775914015,33.929554455956776,33.28764430029949,35.80942878654658,33.127704294924676,37.71204779835441,37.78535513156088,34.29283182709464,36.51710060896222,37.486034332915374,34.68571639158825,31.46833426116229,32.357253184059196,31.3064012622601,35.63084142228088,37.34088025461259,38.770955667130224,40.12646636865167,38.8508954976564,44.19608737349035,43.23064515682885,44.03390178246414,41.72942986206391,38.50042978634103,42.352423129263784,44.547552824819036,43.81010792265251,47.51125078512961,47.45265361274048,49.723050763451965,45.94106431883856,45.325597757583395,42.979670062354955,42.12279098957065,42.61949029911992,40.150260703034434,39.919270545342634,39.36008852522307,34.72041054636478,36.14204799915582,33.09693239070124,32.50591727168015,34.53350055438192,33.604412843885456,29.865576269895946,29.659368075636063,32.274375671306075,28.570117954643894,24.41396238416418,28.281701000499428,30.56195758334653,24.308810505966473,24.314458261992016,27.31172424069233,25.067862466127252,21.008920013521713,24.129235888245212,23.87041370545717,29.21071574862647,28.643192498683398,30.030422174932163,33.13699642103752,37.92474951534697,41.33559280262203,42.88509272879337,43.60976143502054,43.38976249797234,46.094442406941305,44.069232594763236,47.83655233597379,46.1461713965578,40.44851817064831,43.58018220037293,46.30109813304089,41.86132975847464,40.172159313228754,43.50056273743474,42.736406993007854,38.288278339423115,38.02887324394246,35.19878794786233,38.357641090197774,41.250869131988665,40.29260401395186,42.7166127883867,44.967545039653615,42.79740433972069,38.943756858885244,40.19768730337951,40.91779234333836,36.424842834230425,34.832117407838375,36.625731816554506,34.64416686489984,31.33590889360401,35.4830044770543,35.61080413977377,31.076938936256163,32.014530812463,35.88097309403513,34.93861984577769,38.226442036653374,37.85710901719674,41.21084985986918,38.98335724242246,33.8220327372831,37.692925253001974,38.43866825582253,34.95658525842579,34.10709108087445,39.61375856559046,37.45500400513986,32.47823283046163,35.37580215332875,39.44464235859628,36.61051047930693,32.79165340686135,28.07771558707359,30.933521884747062,26.356515547807813,27.251716591502895,22.277976390371947,23.64718300807805,19.896809952797284,18.041846229259782,20.563854095829083,23.286008516430215,24.783812210761752,27.143113146336738,24.40263171153042,28.259387742822447,24.796578749457378,23.831697709061544,28.70777889786348,30.347816945331243,30.056184334867254,25.621257477039805,25.35624980717785,27.382915936447404,24.496625182937322,20.513604752888984,23.95047843096502,25.841158301745107,25.681242418194454,26.98756319327242,28.692609205854048],[15.505858442747114,14.234102628566683,16.09332268343279,12.333456573105329,17.296156023890052,18.870621534930343,21.190827544658653,25.418774339839576,24.93375599888927,26.241347561910487,29.091615896362924,31.789690904723255,31.290606716281438,29.304114940005988,34.47871926424333,35.88208591387427,33.720165419408595,37.73877831228085,39.001552070468165,41.62265580436778,44.49275122582317,48.02980135979522,48.13399590249708,46.80869787554193,44.29169170353106,40.57475317757744,38.647833478446124,35.553626634200135,37.34424426904049,37.59312508287268,41.22221355513229,40.75575212296357,44.45821142292877,47.93314201556266,45.331560651450424,43.18238478300188,42.0848695174289,41.77705080110837,40.6672645729007,45.47793391825383,42.30102278565958,44.07964665859997,48.13781855872031,46.986128664623465,47.70579680412288,45.62295403160462,49.04750645364936,49.611259455761044,45.39440093146561,48.40126942833523,51.6467789149968,52.11115499091684,53.79187087099963,49.193637220440436,54.00402081022105,56.920819399659365,53.35530465682157,52.68123687004322,57.52107398115839,57.833229990896456,53.773312136455964,55.802405287596855,54.1794280820694,55.53176565945664,52.83620797903354,49.47919385090298,46.60026486133891,43.99802819838708,41.17658734047954,39.50066637576385,38.50898184804457,40.79232205140895,42.95014948546476,45.81609868877527,45.94321922305429,52.24076342880967,50.453408892758375,53.61110879732981,52.20449745838378,52.77047207489127,50.72607583417952,49.476873033929685,47.575422659366104,47.18152536664335,43.96890832123697,43.64125759138637,45.745926983453856,47.17126015884988,46.94334744662294,50.48277444401273,48.1512468685444,51.18984379398984,47.90183868174619,46.03172725155566,41.27918135135891,41.74194856140378,37.37335800643247,40.00853088840874,37.381764920355856,38.662521616804135,40.23427102524523,38.78278822220078,40.48664030816293,37.84790298853697,40.01912211653648,35.09542022615415,36.94485542610258,34.93214037430234,30.77625175870607,31.84054074334944,27.368429046535493,28.345744715803217,25.812783932703333,25.93379924926253,27.30702124766049,26.588189744044392,30.278095475627733,29.858697353352795,34.9008635448496,34.02954023056187,30.901434327702628,28.299793277253944,24.82673497576408,23.199879408476352,21.636632380785255,22.45377645866089,22.108752087380168,24.928417492395745,26.888300909852592,31.900942996238275,29.684491695694238,34.045854902175286,34.90315798591631,36.83151135131637,32.45749101024925,29.147372852692484,25.391502009473335,25.270666490163254,24.21363872012712,27.967674556922326,28.903831605233403,33.76683075254584,34.04726839339619,32.00601252044765,35.633186929337,34.84556453451213,31.65264047045745,31.625537950610955,31.09153175311992,28.889555729180326,30.030337934828086,30.193579405904554,34.26643880743397,33.63738347027565,35.34991346044624,36.04679358116794,34.198108625390226,34.26366847533457,35.232783763018006,33.90429695509676,33.05075228309443,36.237286208326275,33.125068442749466,37.717786250566206,37.05305059893391,33.34467620222412,34.94164199473831,35.62394942248306,32.416881551241595,29.692206332752452,30.587313256583094,30.233583320092237,34.738741422873225,36.72337342916213,38.579515168601304,40.010017761267626,39.40325455570127,44.444023003377566,43.24577042111598,43.63729909800616,40.99081761926897,37.569420407870695,40.88521349569383,42.83159968627736,42.54371433706152,46.394816911448196,46.907068235116384,48.80064127171218,45.450945358427724,44.23425124594512,41.602303118075035,40.540609533094326,40.533157523785675,37.827670668264645,37.23702559068184,36.20605793159013,31.61751667568605,32.829184627744624,29.505970477347407,29.512054098257867,31.034843952254786,30.686710093756627,27.08585066038888,26.02218095840543,28.76434059808988,25.60983402058556,20.739803528639996,24.36787622672208,27.357892197842336,21.23986792428178,20.582755673599596,23.76304186206751,22.353432318866275,17.815809311661155,20.29996356353847,19.515381075663356,25.118939632235715,23.60313748553749,25.402173088915607,28.68891945253501,33.24877085916372,36.629687515570254,38.172884987924114,39.32120330346232,39.156132101136095,42.04746560687925,40.36924980619854,43.87650658251142,41.80941576456369,36.321085607563546,39.674541864764024,41.96624307367337,37.378194100083306,36.02780256811842,39.44800231652428,38.16978881452777,33.69275606101832,34.07985596002755,31.200067118040927,35.061641537880945,37.79912462193337,36.88566107032757,39.74620177290509,42.06632231316124,40.3743741668047,36.18960335898122,37.29808375918029,38.603996925501654,34.265115813296475,32.11413309499859,34.24145506593636,32.65920987945713,28.908220170418684,32.68562469056899,33.27951814479858,29.004673814840068,29.11014046453371,32.80762636081398,31.46058118876768,34.738949657385064,34.47636183032856,37.453936193046154,34.99408626006898,29.91607071219373,33.69801220314754,34.00792330776383,30.462856417384167,29.726720654157305,34.958175855802374,32.44894977326642,27.56510149685528,30.622299816165448,34.37712667385095,31.296598146284765,27.522381998038615,22.862644733599474,25.384054000192652,20.753207270701953,21.805621541890986,16.987729919680707,18.929101242589873,15.85380445901723,13.139146536631774,15.740952251201014,18.151463473724696,20.123407802376114,22.77838726904809,20.963155386088793,25.16864874532417,22.550040130495198,21.495506612039424,26.842614669171493,28.319229914232096,28.97380973766871,24.324637067230515,23.464128252702142,26.20721172140175,24.185402444589187,19.445972595253867,22.54917073345569,25.27304380951168,25.6489120244251,27.425610674539893,29.150293791444067],[19.057817887315608,18.319536923190146,20.58616278823425,16.990002869427098,21.95133421533232,23.357765012740817,25.573300650656712,29.776412737416713,28.912067824056145,30.029029218659037,32.66881239423057,35.57385915729592,35.127421499240874,32.7348692109098,37.89628234111359,39.52906014736656,37.26386181360266,41.08318399601389,41.99861192404862,44.91049878389835,47.53261897313809,51.16716580878368,51.00937637177573,49.534619980488614,47.28997674394073,43.542926999387035,41.95184049174428,38.98879812049251,40.94204933162909,41.43029321701736,44.715020172244216,44.635464804411825,48.2456355677155,51.6252927279562,49.146828720445896,46.867327342786226,46.05827095546127,45.515177823978384,44.38973082572077,49.27664468706457,45.8231592766074,47.44917947218007,51.54284470986804,50.25371472253772,50.68039034153266,48.501579712575214,51.876041991307744,52.74819439711374,48.648551098712815,51.6885659161709,55.07651893775862,55.714497147734264,57.43424968825805,52.867351704011604,57.825032659683785,60.52957074089597,56.8077484291538,56.32010672301299,61.15793659651219,61.21775084877751,57.09297567131064,59.11774235423673,57.569604387017556,58.60626126596107,55.94271870628594,52.78721640255976,49.59962678129619,47.16573409004258,44.01113138026327,42.40629265776203,41.13984992958541,43.127414001789006,45.64050686917598,48.510787850596344,49.02235393320158,55.34673778299762,53.79741022291209,57.08464592525521,55.8270349760858,56.45066486954576,54.64471340105759,53.43318978725595,51.754155319240986,51.3541555274069,48.012139202970936,47.67484633134878,49.549073592695585,51.13593437771829,50.59319393252468,54.17682876796723,51.6196118944221,54.45262893652878,51.19145624278177,49.46917379075217,44.74361978012263,45.00466063831782,40.66022690536029,43.7066287177237,41.24021722610369,42.69271336694484,44.36238629589159,43.175939700962275,44.83206910876162,42.382439172331026,44.57750131767412,39.702025936463635,41.59876563750116,39.53074846326031,35.41141617986748,36.51667757081583,32.03651248529089,32.870168396751396,30.223604770063314,30.142258919373518,31.17001312347502,30.223267459480432,33.70728992210586,32.953641743915156,37.7377196718429,37.15559661054717,33.863516304136105,31.50284804547989,27.98743850652172,26.780936368215638,25.604104523941352,26.637161601662765,26.681489635762357,29.428104552686754,31.444735128441867,36.42614922282997,34.0804245581091,38.46049466895089,39.16155847530654,41.26053307745107,36.70177840570744,33.40623201277696,29.542217671074045,29.230919033144165,27.867920351949493,31.61077539064598,31.92878216967093,36.72377306260693,37.216307529658515,35.46803668228217,39.22762785395589,38.612811244223685,35.48377948672427,35.67897046336378,35.385355796361054,33.18723502694089,34.52163750219709,34.49158297993764,38.6482338171752,37.73002810578925,39.39206553987128,40.28165299994973,38.400664208199544,38.6797169922658,39.4855842889114,38.369434885192,37.35426587546501,40.30954127721969,37.019297482152474,41.63509908403961,40.89345143774113,36.87764542771311,38.674858388270295,39.032922153878125,35.962876732371775,33.26606526522839,34.44892552368104,34.14037335901075,38.8077004437484,40.9277574120114,42.82400427144806,44.389453727423955,43.65219371012788,48.796816041027505,47.498210988128974,48.00620654940716,45.21548188814287,42.00909193945861,45.249983375499994,47.102449231123344,46.68452844505914,50.44594232087603,50.8705106214988,52.62657272326303,49.06260188441805,47.91935707547331,45.31266023557855,44.48383778416177,44.429848415740864,41.79780784023599,41.26608970558916,40.20084059938676,35.731948380945866,37.056890027449825,33.74604016180735,34.001552655656745,35.39546407192302,35.212807361080884,31.666528207348996,30.355498670560888,33.058737119954316,30.05343836174496,25.065640282235112,28.43406735317034,31.4867815281621,25.43507989227014,24.469997809239132,27.427732591713337,26.17625743016641,21.516316366775676,23.45634151263036,22.83233761406972,28.193215220993146,26.50388343794151,28.811948897959912,31.980382155466625,36.49931888089173,39.514569929027616,41.33689403657406,42.911371394355676,42.95011706299601,45.99244707502581,44.553840499757264,47.9481443922268,45.64163481318139,40.338750249798345,43.81182470442246,45.82851926382651,41.150811737158335,40.02229454827917,43.42076793548522,41.773527416283954,37.3272706356368,38.01719876626325,35.28947905306013,39.43541753920786,42.13622111012748,41.24227147183219,44.22625071042878,46.49298182926858,44.942978496648635,40.72322648962693,41.67791547535571,43.070835187164874,38.81831336361667,36.518037962588366,38.52283238372847,36.94367555728954,33.1585422701305,36.72404394989399,37.219490076301504,32.904325922138376,32.86572563835578,36.45541619917907,35.185655199281584,38.621381811802365,38.610760566784506,41.449615770480406,38.70553121849452,33.84822827916449,37.70578617080259,37.67551617727064,34.07668171604421,33.60429324623024,38.577148454342854,35.676294174065276,31.0077174766098,34.21807998479962,37.5962793163285,34.17542720556282,30.52267299009282,26.01170317711404,27.7997834141481,23.067619634647272,24.258755411165993,19.997205129371295,22.582120748050393,19.940425573417496,16.824304775670356,19.492967596692264,21.434726540994262,23.802617536800014,26.758864123849545,25.37247125883542,29.631644927867445,27.148160116536317,26.15630685825315,31.51409240574029,32.90338202381832,33.564254456627616,28.971306585821214,27.95993750381223,30.579935541297644,28.63278358828682,23.855761484505383,26.680111322763025,29.238914646571715,29.56296599666503,31.207706525544396,32.97864776531785],[16.181896212366986,16.183956075613338,19.318886192346586,16.60359517652159,22.201069326610003,22.692451236918945,25.448073368734953,29.30528119791006,28.515499779758724,30.300186832400772,32.76983751256274,35.292442311459865,35.55430567096455,33.37548345969092,38.41052653646514,40.09672225951538,38.35173852543741,42.371168914267905,43.803197573314286,46.63409760118284,49.51796106346183,53.24139107261657,53.29676422383191,52.07523578690653,49.65470747538623,45.78860074543865,43.97509158931925,40.73391570706995,42.26145228962968,42.289739748112034,45.45512074776054,45.03396229611361,48.45812184867346,52.13877137976744,49.83685098753049,47.91393388809432,46.895629819236696,46.95792978218945,46.06744264256398,51.04803559202714,47.93101812291697,49.45441824071152,53.59668714888321,52.58635632477743,53.302169105555656,51.29310476737498,54.75161700059595,55.326921326098194,51.16971896151452,54.267187880959874,57.44573606089913,57.93137966657741,59.511458264041934,54.856445527952175,59.54236131324408,62.51513771664166,58.90466326239896,58.05502979788641,62.902243161236115,63.307378873720346,59.08541590651129,60.8694135325209,59.06293174827783,60.384047801387055,57.90161951885767,54.51336881030955,51.34715740617922,48.60663115144129,45.64100138547893,43.636482480507155,42.58433200216102,44.551960896314974,46.8630074148887,50.03990572733082,50.2178866350321,56.56410821309007,55.12497251824452,58.1429333328302,56.99425906903372,57.82619688815482,55.78291072099631,54.79386029267593,52.74498465986653,52.58075463916225,49.47461103086825,48.912399880045214,50.960480949084435,52.10150074343908,51.821285283125775,55.006881124224606,52.534479541780726,55.30995693598953,51.84468089122914,49.8483991996968,45.108130884143776,45.16097893833646,40.82982535983648,43.673078561353805,41.00256560341225,41.931401222229226,44.22079999087498,42.77115527058909,44.97879860387933,42.34773534116625,44.936999261775185,39.928593667559014,41.65280732118861,39.843428011168214,35.517932605501905,36.41333860066511,31.962273486139182,33.32066278427038,30.54995677875772,31.12404683071193,32.2304782229682,31.81854610775439,35.4044676702504,35.17752272399734,39.908013393399905,38.81251753249917,35.59561779624432,32.93356618162464,29.830955986377663,28.23567152777546,26.509691536581876,27.85483071855345,26.97594790607568,30.183038000821995,32.05592269319434,37.11400321514738,35.00878971950016,39.23244508908221,40.409325222031796,42.195544183473366,38.08148097201512,34.769334228558975,31.104057444667312,31.099499414670305,30.045561287963785,33.72275775609607,34.640013297776214,39.48122558951497,39.595217697404244,37.593558235306354,41.20166794888908,40.15897744980642,36.98611658826824,36.65482097930698,36.02642629693306,33.39610707432681,34.26021308020854,33.80518616473464,37.63649844200241,36.18703755391438,38.26227691851176,39.54372848934089,38.10288919455513,38.43388011157874,39.716624808863386,38.70871511718162,38.352251821773024,41.528011903368046,38.74689534201333,43.32671441803558,42.88030529676075,39.28551715094043,40.863811722569956,41.58375134338651,38.31990942277984,35.649010364115334,36.46899449943971,36.07728527475587,40.46307919563337,42.27631156457509,43.9498677666282,45.12120875812395,44.33901424984977,49.383260629933524,48.5155452900734,48.89650695112775,46.54608350174027,42.87004691009969,46.352033095401396,48.39565294025943,48.232320261241924,52.14421278600371,52.63769881437471,54.650116490463645,51.32174129651698,50.14980549914751,47.516467957214935,46.35509556528835,46.32671014140849,43.553923029584084,42.82822710570366,41.6174433250061,36.99299626490356,37.87548375390154,34.26633725923037,34.17202297478882,35.143585888992455,34.605834140450035,31.312073666522586,29.962032770890197,32.123610796407156,28.9380811867496,24.40445943814663,27.306107357308324,29.74594870094861,23.73602998176718,22.734891103715498,25.22972793971252,23.71630126115038,19.18308459013688,20.973674189857263,20.99097447726537,25.85397338037782,25.287593013805292,27.50126666797438,30.249423038096822,35.0907641518635,37.75071526296662,39.89437184213613,41.43649174370149,41.827394312946176,44.96895411421525,43.70081616296635,47.34057701920245,45.00904374495938,39.87752545167523,43.54655306571358,45.75970467658463,41.166284172221786,40.19460005814389,43.865957709943366,42.344137296337664,37.84417481466183,38.892175557647256,35.596936997493295,39.63542584169243,42.081452712392924,40.67040729313122,43.5371428091023,45.36805007946319,43.979638757071676,39.952058979455856,40.33944354010764,41.579098362196795,37.56037322027207,35.08797762993872,36.598224646917025,34.894339997044504,31.20570302485064,34.558009026680224,34.70544830082064,30.284740437478654,30.369649205854195,33.91293874175774,33.00542772360826,36.682066161612795,37.05995251072845,40.02989529972905,37.00507632676101,32.43500403686663,36.68428401984888,36.58655819785335,32.95047648505195,33.04273358188617,38.0432357796138,35.05141868987672,30.64875498811669,34.28229377161406,37.53768861376876,34.08650667291594,30.632594765275222,26.08151660872553,28.067353308774504,23.400084640686313,23.651968638855987,19.55385826141325,21.856887699656202,18.913432929176523,16.533125239819142,19.70649715711229,22.07498628377914,24.57905533227226,26.924659723336703,25.67623557833407,29.977370927780818,27.551653840364853,25.70681964421895,30.813197220853993,31.724090326710115,32.34973732114849,28.069104731120465,26.466501815328176,28.701700624477024,27.256706007445658,22.22479278007091,24.386711227177155,26.731778928673283,27.160918110440857,28.802548307014256,30.77695776917236],[18.49918605796082,18.728496476022837,21.951792677264347,18.297801845208074,23.892245721272346,23.56270509251564,25.793579919889567,29.571763454240912,27.959655110479645,29.347345950816862,31.431849646476355,34.27094426208362,34.64198953849365,31.8749779459521,36.80626241280136,38.84377215783203,37.12848009498206,40.88911540581743,42.107094804412036,45.32078322392996,47.99675910066259,51.95548390380341,51.7876989828352,50.62813580447599,48.47639376142194,44.435195708092,42.99891859277792,39.74768309718517,41.232893914511344,41.459623786606464,43.95893352509801,44.115113538460605,47.32290593083287,50.87037964766285,48.8524059802978,46.8512408883509,46.311420365713325,46.2807967733993,45.60105483168239,50.91268734153629,47.55750446161209,48.56102174378793,52.8294983374159,51.922645808835505,52.46179549126485,50.59218656674065,54.101826641982804,54.799490539724175,50.873102088410725,54.25145412431913,57.337961986965,58.07303586207745,59.45706652647988,54.7077571593266,59.387314030936956,62.145677629961156,58.29540467481696,57.415135665841134,62.254721663989145,62.50979577502665,58.03388483579551,59.562726228795846,57.69388626608519,58.69530250455231,56.42626630320062,53.196197172195696,49.56229159572674,46.89363559798989,43.58746443374906,41.49238672694933,40.20157250862125,41.81111628409448,44.42640806319166,47.72173140072898,48.24683964441999,54.61031456647579,53.58914781227404,56.66934626023846,55.84197346925518,56.926265718403336,55.23418940886707,54.55319713703463,52.79907622911207,52.91061210653827,49.67310572570503,48.773932430146964,50.38571745858729,51.55213055505655,50.77795451396111,53.828171297921386,51.01705187530805,53.449879795893324,49.985427403776015,48.16522233972478,43.49316903565664,43.24553275945894,38.983860985541035,42.40905770553749,40.04121478704375,41.390757210028845,43.74794836632406,42.97403155390231,45.05762652560079,43.03144375448128,45.98371924127738,41.17601724033562,43.3842434892832,41.83491964567082,37.62067635557791,38.103530219179824,33.48301603860017,34.25089779022139,30.97110951452593,31.33053156737778,31.643843316560464,31.172780675885036,34.4128380606373,34.12068705449748,38.31497856554029,37.2495516670723,33.87872444245841,31.413884603485837,28.58177154969594,27.422851884577053,26.13072027711542,28.247191792722028,28.048202564527788,31.409041933754384,33.74819266085012,38.706517394921576,37.11624316145955,41.50611924977629,42.374423821082694,43.884236415308884,39.631032134700924,35.951741676404836,32.76680526406438,31.990068230005082,30.36962645104137,33.80513396535645,34.248927882447894,38.96931010291439,38.8522446274876,37.14836710275582,40.83473368700262,39.68414412605583,36.63950414166691,36.3999729522584,36.20575453517794,33.43767872203325,34.81877382806672,33.91995624056978,38.09097436915733,36.312017478184856,37.94976693509874,39.45648464443444,37.85255946913416,38.7202534198011,39.597330953109015,39.27973749926317,38.88431401903615,41.50605005491724,38.882891544445535,43.467293337410965,43.46341417431433,39.87486047738137,41.98013616283433,42.783596303430635,39.85849504712629,36.8176626942824,37.75938760201933,36.90415277030975,41.26495676610975,42.980454936362946,44.41244181185349,45.64649572011741,44.377800474392565,49.67611352325188,48.85757699817054,49.584459291093815,47.35021929702656,43.95281451986331,47.75968400837488,49.93071802942989,49.355949188149296,53.11915532257166,53.16611390590411,55.37691791926989,51.64444291858452,50.92702441634836,48.50680106800279,47.60171439408106,47.928339698931076,45.35874992611837,44.94964943955661,44.11713205703687,39.47302807503856,40.65542287169257,37.30972026111506,36.900640424040695,38.3768629913129,37.525626067698504,34.02921301329571,33.29354758308074,35.55888362074868,32.00487762616381,27.78442034132443,31.060746936600715,33.19423366990175,27.02790687257415,26.523479549355475,29.060394193161436,26.99473143157372,22.75800854603934,25.109534789245902,25.291971830062696,30.158470284761815,29.932683151422154,31.865987098306984,34.63750284794527,39.568893493533,42.36925284560905,44.426395148937026,45.66675583955029,45.912714461355186,48.89941008852083,47.31832900416742,51.09320571911997,49.03614814866038,43.67107090054034,47.137174914955345,49.61587599618211,45.078897533065,43.801581556379276,47.34323268375828,46.14688813878881,41.651441948526305,42.11990446846638,39.016751054600796,42.6125077438842,45.266358284305205,43.97340279802621,46.56884715966082,48.48075380179015,46.687505353211755,42.83208115169981,43.492563970207904,44.344538138166115,40.13431991135646,38.11140688531869,39.51920846209149,37.545527786446534,34.1488797086074,37.8485958572621,37.73829222601072,33.141091018773345,33.82237120116442,37.51341433364848,36.80704583605391,40.432563665892786,40.61876287540272,43.84229041082169,41.06276866665149,36.31869162453956,40.53594607946575,40.7841429493834,37.186229505306784,37.00642590251101,42.239748693579116,39.52305490285998,34.92446227514098,38.32640490431761,41.88428636693053,38.60692833955969,35.02107266335348,30.388119337126103,32.60474070450732,27.911860867243526,28.393427770679217,24.025609443158082,26.00474704042119,22.606506573906145,20.521297147920492,23.514723444780937,26.03368363639888,28.17408732384584,30.556206103759727,28.575901969314376,32.67714595845908,29.6201139886446,28.088362955814983,32.98179563097177,34.15496362702355,34.10619475616978,29.87811723630028,28.862184415454095,30.692188097429014,28.4865137630471,24.053026654473243,26.64266533787899,28.42133266426056,28.422837096937513,29.695821106521855,31.609530288606024],[12.741348597673378,12.832900584523074,16.22357205744996,13.27422147430486,19.165171485217588,18.793611847765494,21.6061229377447,25.28037196750427,24.389884964975877,26.424246114761406,28.804479173425012,31.162048192067264,31.723565182840048,29.672368144365247,34.616669833386055,36.30564550484345,34.86466774821536,38.98774339939586,40.78663608938736,43.53181851426225,46.60385018769821,50.38643466859757,50.621045992955736,49.6413921756128,47.076335509400096,43.116914524350435,41.14512038456185,37.70014085964817,38.90858757133026,38.66518164689059,41.73470535018368,41.150893429667654,44.47563433095866,48.27928043478966,46.08079644604197,44.35975942928681,43.26919886054638,43.70341201524075,43.02409150423708,48.1329791062584,45.249136103468835,46.59007609511225,50.77386273703234,50.028687852338024,50.99272462583078,49.19610995718689,52.741604920621064,53.024623681941165,48.88010559513262,52.107144353171385,55.04041046847609,55.46029147879865,56.85197367455493,52.10415252105495,56.55780703153809,59.683507490350436,56.12603460408538,54.983044832813746,59.82274027974293,60.478453934684616,56.1574350139272,57.732751505610885,55.746426099375995,57.27057221545599,54.930533398284595,51.37840790476402,48.25141418335416,45.30186253169481,42.519665316008236,40.273528129262026,39.415767678111955,41.45544358486711,43.5363032071166,46.867789920431974,46.773309272425486,53.10772798006265,51.71177812871894,54.555106731342065,53.479773849604854,54.46221092710659,52.317738598549,51.5375681570189,49.3279534137356,49.400137292676575,46.42636420083379,45.613337108489844,47.68469598873161,48.54026032644726,48.36638851154199,51.30196034676343,48.8830746029377,51.642885463566834,48.085156113933756,45.95221136236344,41.215190635267916,41.21797853646127,36.89954334789711,39.60663492847853,36.87076369898441,37.66982772379953,40.15225298678762,38.732154232542506,41.12892077621148,38.59693552505667,41.51767957977493,36.54087318940862,38.42531508584072,36.92102807200395,32.56625222963758,33.09523511028438,28.579974357648265,29.939720239844092,26.92980684252563,27.83503749179261,28.818366916231927,28.78226944296842,32.37535050124422,32.585670733829964,37.21579410694165,35.71395603093937,32.59326514304647,29.725918901930612,26.973320651290795,25.119344398322113,23.085974618673532,24.82009257004693,23.60332128476188,27.14616826817082,29.166353912294134,34.189677135931674,32.59824686618765,36.80970951248395,38.11513909758163,39.47558869176825,35.63099077031455,32.119287474788536,28.929183386049854,28.75963965097949,27.76444896189362,31.260542166441855,32.62994577276333,37.44967144978228,37.14037755101678,34.97463353577889,38.44247331217886,37.045818861147254,33.88514957960403,33.21234873776061,32.486054052384404,29.599976660054825,30.386242711446588,29.665245589035898,33.488700978111986,31.889937601778392,33.95197217649807,35.346087643271474,34.01939661488301,34.4801200005162,35.87450037821687,35.11001514942841,35.13451867191343,38.27342617983871,35.931381128244375,40.45871221444148,40.42375001685036,37.25399608855188,38.86845916666652,40.016111024369806,36.78272066971813,33.91879119703731,34.43786041710387,33.72578363331457,37.83039153017847,39.353349144350894,40.77018249752598,41.708749969459774,40.75753678765004,45.803833542243275,45.20939183429316,45.631483043156074,43.63566010218274,39.771180040670636,43.572945091864916,45.826504839542665,45.63956654167115,49.58271117979645,49.93267140656388,52.2476379862446,48.974296393529855,47.975796193898866,45.43729513295062,44.112080429943184,44.32557609749977,41.5715405030841,40.90920372611698,39.892531470303126,35.13726947132588,35.92377130984319,32.37087627492024,31.74432304754716,32.943806060173486,31.935630097300972,28.59738345877254,27.820545995191,29.83523777279646,26.226854700575462,22.227769714065786,25.35138907387402,27.27078939206799,21.118208309063313,20.699940893006872,23.210080353598805,21.062904019582085,16.868924202799157,19.48416857854515,19.755462637521408,24.614987180098314,24.864347424951024,26.41502096400907,29.102697822349768,34.13998205246829,37.07218014211531,39.02684216767471,40.00113936854368,40.255265958279196,43.20292185039911,41.61086927444632,45.50506913260503,43.53761221092485,38.192155120618324,41.69905506463319,44.361099352033904,39.92592390888524,38.65411467359243,42.34849997020951,41.37238084851681,36.860452696681484,37.44852355071692,33.95151972368681,37.42742268058975,39.91458216079114,38.36308073094384,40.91191782881121,42.66731948614566,40.984053316181885,37.16877753617461,37.626273310640094,38.500692805151125,34.38450099507242,32.24111692573063,33.59696140544352,31.671336094545,28.2186406109373,31.896020039632482,31.836488398866727,27.273931231545948,27.915904410774534,31.644275161939632,30.930981695881936,34.53179207573366,34.722645261581334,38.01329122802763,35.28349259878777,30.535613826716187,34.84146907197097,35.21894978894151,31.653331338640076,31.576019073295676,36.91578890978555,34.402343216321235,29.830101311456374,33.32926049659107,37.008109064865664,33.95462474737853,30.41927491281325,25.73226412930051,28.49516053308148,23.967168853666657,23.90797536423687,19.310831795249307,20.728193622185504,17.023530126408183,15.5901682524016,18.749020296141428,21.694502838289168,23.683341178712478,25.525188073076773,23.562604598615785,27.664730182860616,24.801453676829766,22.710774632914223,27.536806978542977,28.466652455553557,28.66621745129859,24.50432082900977,23.110977952360898,25.03520204031449,23.283949781098368,18.481467259295343,20.86836219771866,22.94261539252383,23.21252476410677,24.786862591472918,26.801258293070894],[11.111854726378816,10.902457689731751,14.022009063645998,10.290569346765,16.179918544601506,14.923247764740907,17.525469521149045,21.110821092772248,19.992201917930135,22.06715624926043,24.39487902514027,26.72358619524488,27.38750854002004,25.383643158427233,30.272423352495636,31.96272475709483,30.702600725722213,34.87436406708415,36.927853710471716,39.61187912060354,42.807996384723474,46.63491027107835,47.00005017027449,46.22207388420521,43.56186345000619,39.53109985339693,37.465661860716416,33.874196728533754,34.84054686099732,34.442163880357086,37.41575671695235,36.7866959246565,40.0619203390599,43.900304015845485,41.76727887382639,40.150655725305995,39.07173329330264,39.729505643188176,39.2301261929874,44.47159827109609,41.740392938691734,42.870621909545804,47.08780117712919,46.56326564947065,47.709800650178266,46.111816295493824,49.726030883287336,49.777882006529516,45.68406319305315,49.05406182111443,51.75916369430712,52.170375114371566,53.379344038313015,48.55315344450663,52.82926156705444,56.025849990153056,52.48158375011051,51.12312991672626,55.95133248251588,56.76739260944261,52.35458873994216,53.76140704427596,51.65307501324534,53.301214163042594,51.073000693832654,47.41670270566706,44.31100622063792,41.22389502235164,38.58148555563534,36.184579530129106,35.47928943056512,37.60466957034605,39.48743875022214,42.89837310800164,42.608889561970244,48.92759254219952,47.555775467641645,50.29573196329767,49.27952484346444,50.3755843289225,48.213049507872206,47.61331434097793,45.36220141097888,45.64504851866646,42.73850791391229,41.687996676098976,43.70246271417134,44.381214617972084,44.21525529751375,46.997069930482525,44.59323241884149,47.346834947244155,43.75056722303753,41.560457803393234,36.824793965488475,36.83827013695384,32.520472314026726,35.16887777956923,32.438003300708154,33.318235469291245,35.79179846359136,34.548651292621074,36.95402106644707,34.648500359562306,37.84161715851774,32.9743164478219,35.150106906151336,33.93601771607262,29.65419216517928,29.783706958714006,25.17933047806644,26.282122823896085,22.97623423549305,24.04266663234477,24.787788266988024,25.03855094179872,28.57993306549813,29.150693295240103,33.6380640912429,31.817840244479044,28.788987903807595,25.77844110324508,23.34855252637494,21.321606871523716,19.108066540873363,21.29494352253093,20.049351381216088,23.841599279207234,26.12621164373811,31.04461825017236,30.031787046432672,34.26840677715178,35.52603328410401,36.47035409344481,32.79661216779754,29.04380570090081,26.42516138443848,25.894881286310834,24.841071704112988,28.08962995138837,29.779618096385324,34.51905662916231,33.81536663648221,31.559217304792774,34.90264491999413,33.21877453805395,30.09971833817228,29.19607192121931,28.49883537717885,25.443024964799534,26.35967937536277,25.44631925807545,29.436549196933623,27.86767914639649,29.701736131423612,31.081527806778325,29.698158472844213,30.33561953210836,31.654886728442833,31.19363343577117,31.439252781094297,34.41480345760481,32.44130662869433,36.907134809181784,37.288953737899035,34.49923975526928,36.249672984649756,37.77335934114248,34.683342696049856,31.587597694355864,31.873971631432724,30.78045978905261,34.621872444655374,35.89336239760061,37.06377515825934,37.86899206806199,36.69988767153173,41.80463163724465,41.380531045482684,41.918496051749784,40.196088465512865,36.29885065227624,40.40655782829261,42.84237127540676,42.5090857329377,46.42928920068219,46.56200478571555,49.1512383689994,45.83437789908915,45.074893840736664,42.67375796697255,41.29632177104945,41.801278786444655,39.142226274613904,38.64304074204441,37.92931864838846,33.112322438190134,33.95659807209192,30.627340679847055,29.49059981663099,31.141813528918483,29.708033225308053,26.234368066745965,26.212508464924763,28.247084012792918,24.23829552969658,20.797878383012986,24.324040830566215,25.83587120810122,19.62231821154831,19.95680385862263,22.606823186316547,19.87132395503439,16.210605189813943,19.72740097700477,20.005936522229383,24.909396097818462,25.591211049722947,26.43436647417156,29.166145735642242,34.219183060980896,37.54079846217609,39.152866946256076,39.5067896356538,39.471025276647346,42.13607226419596,40.11240476067864,44.18114272657465,42.652781574008664,37.03769704213653,40.25004426356043,43.33578176559543,39.08248872542637,37.41471789663171,40.999594645880954,40.608860951129394,36.14387703514717,36.05573480961506,32.5793402254081,35.389504224868304,38.014143113757555,36.515972977554554,38.71079102846416,40.54501144478802,38.439334421800154,34.829580926047235,35.609704650756925,36.08921996519256,31.775576323717168,30.143317596859465,31.504609651436056,29.37092505468467,26.219882215820043,30.34406662821475,30.17903598579384,25.554866908376415,26.815945261697113,30.720369290926417,30.096756127436255,33.46364082583615,33.27347119217673,36.85614523196923,34.60516407050109,29.60044550705419,33.75946399436788,34.702884884800035,31.276504890034676,30.786609161608478,36.43760418286894,34.512482760603035,29.718361849663765,32.85851385995121,37.00964627565418,34.42790697352903,30.781715897972468,26.046742901069745,29.497383882063897,25.17146977493161,25.128627200502848,20.100621035925922,20.62015236779574,16.291365559252927,15.738967893548974,18.538825341372295,21.870128587596014,23.174115297435378,24.624973311766237,21.7618580667162,25.525011682581795,22.08579580704427,20.08180372233207,24.589848654860937,25.7617405354204,25.39197572333284,21.267798911592426,20.484407919967655,22.134108640722854,19.681403148255082,15.426766658397488,18.452045056218793,20.198869481773812,20.153065682693565,21.578328703749,23.51824890293426],[10.108459733901894,8.174501355812232,9.89630587787738,6.6822228520885645,12.259044682279608,13.332739538289498,16.30264689341062,20.250173101727924,20.48232704895322,22.550581536292388,25.540088973084792,27.61728834872695,27.525676685032195,26.326794117866246,31.327947446154997,32.416139995018874,30.776332081348787,35.127293034078974,37.153574941064015,39.296807285411994,42.611127474226784,46.028414008310634,46.59468395043128,45.6249797814737,42.692874413147784,39.00467018941896,36.53478475389292,33.1475242076358,34.40922007196532,34.020133609854476,38.01293661621952,36.788662866769954,40.47443789738559,44.24331727428423,41.600977961779364,39.87677739311795,38.253140631806374,38.66257682146693,37.736374021142275,42.439449531679806,39.88738223101013,41.78172394624526,45.771361657370555,44.980488897429545,46.24135474147592,44.407218337714056,47.902164923058734,47.893555848379975,43.5371273165459,46.50035420083422,49.39727944523712,49.54054991101586,51.06793623156627,46.418881403987896,50.826290770688125,54.163248988120195,50.89940616558286,49.77118939209364,54.58310603664264,55.42429140989962,51.426406634954844,53.30278411845343,51.44146562601774,53.36155992848084,50.755079972016375,47.03151902822524,44.6015180408052,41.62645425800748,39.398321159501,37.41503917077502,36.92974685108457,39.539559301850765,41.08712782369837,44.089781617312184,43.5165376493512,49.727891378719725,47.70956351210915,50.506991278634395,48.97718663715375,49.58694697152394,47.089343673116424,45.93356235610232,43.50683732143104,43.270968047952785,40.41649807437457,39.963814219945185,42.478577397565154,43.38945408801418,43.7607113754015,46.96677695111451,45.01203279828915,48.26378279832449,44.845962977643765,42.625382437535954,37.873774469604726,38.48094281141096,34.14247897654483,36.03339014912934,33.06514396981765,33.73550044403012,35.55719783969606,33.53545753944282,35.6729352694368,32.63235752518969,35.02264721331496,29.9527645979364,31.592915899143087,29.85086030740342,25.509742458793898,26.357939959364643,21.93627571680258,23.55201929825825,21.152840079708074,22.093880913069402,24.026758150836738,24.04023411495449,27.975696530419373,28.36760783248277,33.574849544518386,32.02034118880904,29.242628012273837,26.19984236411739,23.193640390040013,20.770198519112956,18.272685929957046,18.94014997281708,17.189574691500795,20.4533335024065,22.167983115626004,27.231282883716545,25.407929791696617,29.57120310308021,30.98566644500259,32.43117550242739,28.695118847755676,25.41957516621982,22.067221543832883,22.471237292308327,22.130348882538392,25.707973644631707,27.84831817885373,32.67291140338507,32.43523698641558,29.889674335400915,33.152728850614444,31.862779242023976,28.61445873007165,27.9025444205738,26.775044768409565,24.28851509274517,24.75828836524218,24.936423532766113,28.628956978699534,28.106704035323396,30.17434391773859,30.829980788155385,29.342134835551892,29.105679624725063,30.652333128626235,29.076229499595932,28.94055872095775,32.57625815022986,30.112070261637616,34.565646740432356,34.20758971497083,31.273469971163756,32.41018188620025,33.74741977888045,30.304557737611685,27.644874844584074,27.865660134761736,27.405178077658864,31.391774120989894,32.94683223585759,34.57619069780807,35.53400523807023,35.096975362727534,39.884373440435624,39.11721714523364,39.2545857889084,37.123592296094046,33.10535210493634,36.66206095851265,38.852264235555644,38.91372774242534,42.96261352494893,43.637150224289144,45.86017345532467,42.96736062231716,41.64137488846156,38.983669898330795,37.41205469337614,37.48252383482633,34.623208323757886,33.82756266638757,32.75511815400568,27.96493391383358,28.674448777553195,25.16330666210705,24.525032083351118,25.928329480452756,25.064410090345643,21.567774874129558,20.890987356290005,23.280530199845746,19.739372887990015,15.455931652421972,19.14926272823572,21.571306886930135,15.352966250832832,15.262217948391427,18.474150125488684,16.598166798595145,12.429649955448756,15.793297288876325,15.200611831389223,20.71310677322053,20.252550104456287,21.13348271433642,24.264327401867373,29.029442509679335,32.683709157297876,34.00562096162587,34.50572130808849,34.27008532669239,36.9929539267046,35.08281463639675,38.89922336801845,37.168519209892274,31.5562591919109,34.84613975897255,37.64411285543713,33.275846058060246,31.725114414099018,35.32737748074928,34.66112111761162,30.17031625524833,30.3653622245772,26.90723601694861,30.232570844308118,32.830860375589346,31.53898865652704,34.13312930527638,36.242705783476424,34.449409900835555,30.441510564268864,31.400092775676292,32.47460617091731,28.14604526055841,26.102428528579253,28.096316942534674,26.421253680267125,22.77210905609234,26.76220129908911,27.2886699727847,23.006133424111972,23.43071920122154,27.26245412914604,26.029950073229806,29.207981948665857,28.810859777868234,32.08266008303801,29.879938432492096,24.67698579204135,28.58656736998524,29.36520552008799,25.914235879717705,25.16481066509733,30.742889177835796,28.777575960688164,23.84680806383901,26.90175008758655,31.04896492486236,28.489553377578904,24.771729897263704,20.0348121452293,23.628462431035988,19.41947766589918,19.606717212545842,14.36004786864048,14.871080959858242,10.821748559046469,9.803760056757348,12.462816609838987,15.797662113551675,17.12362116429805,18.716446228674087,16.335312180926348,20.405087542220897,17.652858666242082,15.762993298394452,20.909039500519214,22.17578544978379,22.81857390175632,18.270398134388802,17.19367606520423,19.910277050477145,18.14078763060823,13.189919372878744,16.349551123083998,19.22932403378315,19.74857660060498,21.741351405970747,23.496637879315887],[7.011287380436945,5.587419213833336,8.277954099460866,5.48476493098047,11.467493444573783,10.053097915098988,13.44216543712555,16.83354563176317,16.886947265998998,19.648664867999738,22.337384687024073,24.00312420761511,24.70953474764544,23.72485474647791,28.46136416240829,29.6253850919772,28.64813055999905,33.11744278830258,35.73242975808659,37.800793893317234,41.35946846938921,44.89952259128498,45.691497513416664,45.101988140837456,42.04077996940003,38.207200136257796,35.58664004917595,31.890006430576143,32.54871233304148,31.64572100146403,35.30953045093738,33.82856931605632,37.24870708773279,41.27787985440585,38.90841999374954,37.59034853434151,35.882653882424194,37.00367844044832,36.48538172728009,41.39838154089726,39.23133081198605,40.74114940124568,44.78592061843843,44.42977029502879,46.014008422016005,44.519742088224554,48.106360532392436,47.71238295790818,43.44957451059368,46.60308459060747,49.10599866074646,49.17040584528111,50.38059399238077,45.614110728797954,49.612683762317694,53.165131366194004,49.97421544951415,48.37237717525114,53.15167525052499,54.37118684473406,50.194901766885906,51.67478111384557,49.49942350726332,51.682959027967314,49.37234407745307,45.43087932123687,42.96936552097933,39.66621234421358,37.67678796589702,35.24552889730318,35.03735455340564,37.6100527344666,38.857214027867954,42.165091968512655,41.21722794397216,47.38938607491094,45.569720451092365,48.0475426858022,46.72489254240162,47.65035093747162,45.014152373302274,44.27050432211207,41.55700352559384,41.76652968124237,39.17274002229407,38.256160912382974,40.77037635306658,41.13829516360482,41.65478691268887,44.341729422078785,42.42905096249553,45.55067272824029,41.9476887455043,39.479387805055694,34.758487604156656,35.149427597802195,30.871196408220023,32.56973654236335,29.465415163947473,29.75130181035219,32.1636912359933,30.150991459249138,32.80752476311979,29.915169837486193,32.99969683919056,27.97724362283961,29.80870417346341,28.670281749610844,24.275660955634752,24.411811830905226,19.941717642719237,21.730914819697922,18.861995788151244,20.598812427621485,22.21650404970307,22.98102173983377,26.79959934274534,27.917782164067045,32.753556739472984,30.546071362191302,27.93913001171083,24.620601566812706,22.38631439059597,19.624713819174755,16.57736661279348,18.082281342367164,15.468712379461337,19.431655058391094,21.308631781530586,26.218382725302824,25.323532487514445,29.310819224372935,31.020757749894898,31.724344003716535,28.5824458756454,25.069631194414892,22.631284858203436,22.794089814906577,22.55224339354464,25.693273199595147,28.412534273984477,33.07759324251183,32.18155442254866,29.46556588418833,32.45111754682169,30.54552116470481,27.37465107499498,25.994135563883596,24.65433076723323,21.573764775138567,21.737009241009755,21.215312578629646,24.780254576309908,23.713594335355474,25.94490539127938,26.99853634438504,25.880012320141578,25.93378283744792,27.821698790967602,26.761631423833645,27.472284453811508,31.01020026384469,29.398517364498787,33.69644873352235,34.04550094569869,31.82779300421792,32.99987472226311,34.921093941126884,31.5965442712557,28.74882701219606,28.505022623525303,27.553609436528898,30.976817840982818,31.99180188735881,33.13039874413112,33.60767783059491,32.84527354773268,37.60671840875576,37.398601474166526,37.591234281410685,36.13886083433403,31.767856254639483,35.8493424953987,38.36954917339007,38.44346252550127,42.51344145103378,42.961074487620266,45.64108069786374,42.85835151473663,41.81631042809338,39.3348897896323,37.51980261169005,37.93528117668085,35.12932056914082,34.3939585548063,33.562822806879204,28.688542369423114,29.108140933325064,25.67760394681762,24.160873284014446,25.66483187642673,23.960626168048247,20.60972634968916,20.828891804674857,22.632301697179077,18.45188012456542,15.527723216969978,19.05991565403869,20.24928849202463,14.085124986309507,14.962598739540315,17.702644784734538,14.75610174627203,11.58949100971349,15.796722516852606,15.982431237675291,20.772700124394827,21.905440639738398,21.96140153220121,24.627750239279944,29.622359782606168,33.250987935481604,34.534292843700335,34.381267839115374,34.179358643293746,36.67148520345547,34.475936531591394,38.67053137253012,37.386289154968885,31.717829164076424,34.82928250280751,38.19708941615619,34.140224966257755,32.34621264131726,36.00130713253497,36.01938345490448,31.62375608911531,31.416354271552667,27.600573506879787,30.043103898927217,32.534675786179726,30.842928682064304,32.9022764137324,34.67023583826145,32.55058347183782,28.991661436452596,29.751814745768637,30.197180711519223,25.87143802917641,24.277227518830205,25.7312695052967,23.646789958294775,20.478243092978907,24.788472345353913,24.789197387293207,20.280885424166264,21.638326848109013,25.61505400407198,24.898513950847345,28.042113713686817,27.61861613546183,31.327682645874702,29.38836649209911,24.266736246890012,28.345919444423878,29.65106606982375,26.37639943549836,25.744713444572678,31.547541270906464,30.115676301228163,25.335795185710577,28.310559828805037,32.704509609112016,30.600266297964193,27.04797247148066,22.428303907287333,26.577608759795467,22.737633329958758,22.241700903390537,17.10602178071385,16.457773549408692,11.688071578605253,12.591358767553183,15.023086002735448,18.75200579565292,19.4687377201591,20.070319418443663,16.912789635547814,20.44706547488163,17.129471901744463,14.476026924355498,18.827325184416157,19.860064650840545,19.707853658897424,15.562840798739408,14.578946302249694,16.461564598909128,14.340645774710946,9.661977867419415,12.966194047286258,15.205773746734748,15.466860545362138,17.347192534875266,19.279079769185827],[5.992878292875678,4.688292576000471,6.836282781536732,5.925666429297917,10.620850668212894,7.363758184798771,11.242591997182037,13.88064589450981,14.424073962187949,17.87657152751225,20.423459075612957,21.45843324169409,22.693740228373294,22.326273232913866,26.701668088061822,27.66276591383321,27.23728999372799,31.811262391886785,34.9551210952441,36.70106355757883,40.5000478983813,43.9576123093755,45.03826105824676,44.74103751979053,41.484803177722725,37.696988062616796,34.80910850337362,30.956401798044126,31.119478783170905,29.705786731118156,33.40578238224339,31.4222573033217,34.6998044525489,38.930063530149454,36.64895944860278,35.71752872268762,33.71440357213542,35.444382998245416,35.165898421393976,40.004605688342075,38.31316197676816,39.7382535242575,43.701471220417226,43.663293259958834,45.58527918758319,44.33623369569474,47.92919598670882,47.14946515783562,42.91596030889388,46.05816192004363,48.23665340613288,48.11767737785456,49.137751369295636,44.36845858584528,47.98657923349452,51.781169235105345,48.79604232668211,46.83778332379767,51.544430853897495,53.13351660529031,48.979208957292784,50.24995626260147,47.88249463627711,50.416306179916425,48.25906273227853,44.11344235782346,41.91670129308095,38.37401986026668,36.81357389388572,34.1433734361377,34.298243530139025,36.98523042527937,37.79181899496331,41.195080731460024,39.77549348144865,45.806197839161925,43.93720782733423,46.10067134011871,44.78455568497685,45.817677307328644,42.9267320031122,42.373773415306246,39.319745682032504,39.762809042847515,37.48149010121115,36.35636428866154,39.050933503273626,38.961525860637444,39.84422117080435,42.15820249716848,40.49117293878828,43.659280125969254,39.97605542908012,37.267278350974706,32.62715910154951,33.04011015580532,28.881932030066913,30.021076973030063,26.707873109878356,26.465071660945767,29.20693843753748,26.871699211142268,29.947711626697473,26.920302247769666,30.36092176105306,25.370610247911923,27.141806402721205,26.43631362117532,22.04813962448547,21.718624528921087,17.398943425861116,19.581485370394564,16.72191440677471,19.223244391577765,20.97050705700507,22.378633401470122,26.116841300949044,27.83891862943298,32.493139937626616,29.803375185316476,27.52725739062989,24.024793602627945,22.397776780519703,19.27425050129306,15.719747290425019,17.332462889619816,13.671777916361739,17.955224571489133,19.66608191754503,24.332749969367594,24.07708597678099,27.762552871942926,29.80521758180536,29.954509277529002,27.451284043325266,23.99105506306297,22.235931107632045,22.548988000708693,22.704615907631833,25.454248833569956,28.8224709925454,33.27206972953451,31.955305634718993,29.01832011298393,31.636846105220386,29.318084069850478,26.244278818796833,24.286437400732403,22.55677973443795,19.16202357964236,18.73528615300845,17.92286312172269,21.125498428658705,19.94092503103212,22.45112332269,23.604987191814853,22.880646392496022,22.851424856326258,25.19953921815721,24.21807507118942,25.659659411988123,29.31297661315878,28.39479285913767,32.44862805877754,33.18673002778344,31.642333614700654,32.58047198064568,34.9493217690122,31.654039749825284,28.86267844713601,28.156030528941024,27.011839822737166,29.860661804197402,30.430180950536627,31.242176439388018,31.276681665949734,30.50162005023596,35.040919794016034,35.26849728043345,35.34511960032209,34.431062568346434,29.707135261107904,34.03598571039197,36.75566837679284,37.00693360075627,41.103432496216364,41.54403686923973,44.49807949851925,42.02019154753183,41.036955613901306,38.6508915964493,36.54053338038622,37.11364834665375,34.32042826024738,33.536480271805274,32.80925727277381,27.95350036531727,28.02446539267759,24.680461369439232,22.511366518310382,23.988862917039256,21.674141032087476,18.5624277778963,19.4668455007185,20.75763805590031,16.215919792314264,14.581409015910497,17.849074553043508,18.065582953456342,12.286434798484324,14.033914311387248,16.372367866336422,12.788100221472307,10.8893184049061,15.547419939626137,16.078556637083725,20.173652381125475,22.285106638932163,21.553241166953796,23.858415485482872,28.826604691316827,32.52734367461218,33.610510192608444,32.85508913179565,32.586541293004295,34.82799583672869,32.397554334193565,36.822899375478855,35.92782108331471,30.268777276970315,33.1762624559796,36.95826277767989,33.21379844126347,31.242854238318394,34.8981291090521,35.47768153460973,31.228625121542283,30.735613457560486,26.65859420287005,28.369134251379474,30.708182431898738,28.726795581281685,30.3641939350831,31.883716914048364,29.557451723467373,26.350619204996406,26.98787838978101,26.997362465421304,22.707161654491824,21.480872269772153,22.610167394990654,20.29776825887931,17.53321282366746,22.07965853441134,21.819509717640607,17.318944809573885,19.34417001168609,23.351508300569357,22.923334399729814,25.858682835851457,25.293737761378285,29.274330098708187,27.687253802888883,22.65817702998202,26.69390214340786,28.4590461373547,25.426851014896094,24.788516441654128,30.671131959186923,29.78148180921347,25.186038794291544,27.95779195647191,32.51619066551539,30.894417998281412,27.53147056864271,23.144315038434367,27.73618098848195,24.35363403157413,23.406873026559094,18.47918787952902,16.82925152921846,11.904377140166105,14.214398074502496,16.19193049575483,20.05215445327804,20.20109288833248,19.920569432560608,16.341663783741513,19.27804368948065,15.826372702600484,12.516900586294009,16.001759638839694,16.780702253304238,16.145084313084443,12.41633985888494,11.467503685245024,12.741371820440916,10.541286566226882,6.0883333096752335,9.597050028830557,11.485847305848107,11.674679199637986,13.687190450577901,15.693496921343579],[6.392215063269855,7.262786702771391,10.545945312407682,9.504246359362675,14.315598016980818,9.91854560656201,13.315928938130057,15.358643334774523,14.900206499445229,18.57432492637973,20.522072242240895,21.50973386783574,23.553424911466287,22.75598038129597,26.92358732489404,28.277457139447076,28.278815172988896,32.7354469225727,35.99915598767756,38.031695377278574,41.78889442583184,45.48273023796481,46.48231901581452,46.343348931157536,43.233117991656975,39.252966493078894,36.58340587262228,32.59732160428523,32.48032455444164,30.946774481673184,33.91772930637296,32.210086925996215,35.1158946907851,39.46685142027103,37.58746183832662,36.848117101388645,35.13985941787871,37.168039904198686,37.197033345727846,42.31700609622941,40.59716213964769,41.5602544718366,45.63612031522025,45.79975237906962,47.69241614610923,46.59961551599463,50.25439572380626,49.47336392452774,45.39341906893687,48.743795193526275,50.781824952677106,50.78424251680338,51.60079466553319,46.7470192605386,50.21090317231878,53.96305625091761,50.85881070245722,48.702040462987576,53.391090546046556,55.03496358850203,50.64351588066579,51.574662322780725,49.00670448777256,51.44050264511982,49.563121814093925,45.42732289247578,42.84872663024302,39.18255151382252,37.44074034229097,34.423015662357194,34.510936254424315,36.87459464683682,37.81089398954345,41.529603587842715,40.19070389178737,46.24993483778074,44.8205383790871,46.85208379748702,45.889952200126494,47.26639332417625,44.53135192099337,44.370878701681086,41.35147543635293,42.14891400183713,39.9165191277726,38.4083524533653,40.82356926882098,40.473340158589984,41.099192397492494,43.01166760623473,41.10864307555595,43.927706028845556,40.086500315135645,37.31260462024106,32.71772453865495,32.66165956753276,28.562563231261283,30.08923243903846,26.88012419218821,26.526810434786412,29.96288429366925,28.07022084549364,31.484896212615663,28.91455941630643,32.900176756055075,28.09365799663573,30.068108175293037,29.724784863390997,25.424107027408546,24.674957023863527,20.42897648419573,22.36470442448435,19.028107950057585,21.659104010409646,22.652213611683788,24.276390595017226,27.739289994914056,29.623249845086146,33.80856169335892,30.883016585153804,28.505253063344487,25.006320637682638,23.83655532764891,20.94559368778781,17.567614482066446,20.066256430924728,16.74399541954045,21.199666664322805,23.124288772858137,27.619246918200187,27.76657732004451,31.40114591193585,33.42124973387904,33.29430538490051,30.917598795379728,27.278260266525585,25.8570422605515,25.75780963276644,25.55434936134277,28.13040810898708,31.25477543607358,35.649008207204155,34.05979783549102,31.281707725537014,33.9017350912326,31.311621656540854,28.350300936038625,26.20180234703423,24.691103234263487,20.899061457958233,20.609679970217282,18.85217835981104,22.010094897621236,19.76402188959318,22.31899396921492,24.185243450078197,23.76042550729419,24.350858611085087,26.67957627907022,26.465141552745592,28.26849129782741,31.521248172308994,30.985075252060263,34.99298896583337,36.158619252994846,34.718040572836514,35.93476489531279,38.37850074375728,35.22993975105468,32.2621794870221,31.600580065466946,30.17423451666895,32.90538983382661,33.27482571732576,33.776182369227826,33.62437789858923,32.41022555812753,37.04395173040768,37.5922384962855,37.86504831236617,37.2891732971832,32.60055062220931,37.20523684443865,40.051380889157564,40.144374309123464,44.168167508578684,44.3334279218155,47.50106332159192,44.846068191850996,44.15613043240876,41.90185555650373,39.86637490832969,40.63465395949028,37.93568808439001,37.26148283352249,36.65246647261903,31.810645624942904,31.872903869785105,28.565862181777916,26.226582012883284,27.619415677539283,25.042920463156218,22.138084997499277,23.173414870151003,24.106326357478792,19.49319572627464,18.301636440091375,21.183658793414477,20.792811666145646,15.280302093979419,16.944272278228706,18.72207077279762,14.734967230175528,13.132473113487652,17.518359962632573,18.67773770422109,22.268520617655746,25.15319448008849,24.567646012058894,26.522153909457526,31.68620117125041,35.01973204113579,36.394089305159966,35.65454125423636,35.65263850630516,37.91406895869015,35.569262658158266,40.12505201819443,39.26997816228608,33.76154216364212,36.69750226765939,40.56926013010177,36.89936543469254,34.998261641203655,38.69019871190313,39.31781017265087,35.07900599221067,34.6577836564326,30.5051698064525,32.041502680537796,34.27409056383207,32.06409572223526,33.46655061235325,34.644546801286914,32.28097260504117,29.417131051256035,29.694251977159375,29.328348262542285,25.27109600391832,24.20087426604466,24.69627984232223,22.107396217529857,19.77738848118151,24.121075886738897,23.272351293479208,18.59542272659206,21.125449782782024,25.058549451901854,25.140745988516702,28.259533001031063,28.025167102154338,32.113942814032384,30.352802907854247,25.655161896584808,29.90447739916912,31.604352409178194,28.57872267393105,28.31580785414986,34.117157427792684,33.103466797226055,28.701955469502952,31.675454889982174,36.0851288436695,34.34031658277283,31.06643515779484,26.659114596383226,31.05687607652052,27.5298689692564,26.343659074385783,21.572804057909234,20.205405179669846,15.317997477125333,17.442495851819817,19.769534467945466,23.62157789447886,24.019370065229833,23.77395840260978,20.30051114260426,23.14510063557138,19.569620064568127,16.21834529376913,19.124840034734067,19.589105228678747,18.353087241628764,15.3014477262746,14.272949417342817,14.49349220599284,12.268579923487515,8.791480698987803,11.15649865219575,11.778493394675555,11.497336878908323,12.94919515063967,15.26513213775439],[6.387979618859632,8.293449436644002,11.142783196969,12.863391550701683,16.43431665578202,11.571409479235076,15.216134989398158,15.883838694503078,16.444618572486217,20.858582781890956,22.504705503565045,22.404768898378634,25.213509954152936,25.338758638450944,28.870937191619717,29.868152233880497,30.587903240694807,35.091931458530176,38.91943215491074,40.46889324662445,44.478079314272804,47.961893214711985,49.32029204888127,49.4587233382744,46.115701807720754,42.29731615266946,39.29131089557023,35.24074163636722,34.588928788401276,32.39916560847488,35.459936172082365,32.95273318558037,35.564076388216954,40.18352976762405,38.43994450283801,38.29250274726865,36.07986120342417,38.889479652785425,39.118642495696854,43.90770006945011,42.848803527592224,43.907596338923625,47.78174806742142,48.24489788168872,50.52038182420403,49.618853625239275,53.2186717500604,52.02509442681885,47.92766404536883,51.095735947381485,52.81487451965916,52.502712019404534,53.1862901012572,48.441874786468794,51.40491886251946,55.50065628222717,52.7695939941016,50.231642732131256,54.774326965523294,56.90110814257414,52.67378135556034,53.418155003260416,50.65422347065963,53.569169901950886,51.84807868069276,47.485869320811446,45.362891560771864,41.45931962443019,40.300936955843355,37.06724373374208,37.59086026295342,40.046241987071305,40.44622798887918,44.226019391908686,42.29079038249949,48.06916777872629,46.54074633580135,48.09643927658899,47.09441024557985,48.52810031064785,45.37317206918724,45.352501835073845,41.79495217563928,42.75514021749871,41.035660870504955,39.459678927921075,42.23199158643686,41.26557713248773,42.534502589126156,43.913532794793156,42.45992481940751,45.329141311523934,41.41829852733353,38.30164937070309,33.93601692684019,33.871971233602544,30.078047848590312,30.65320927206535,27.152785994338124,25.625295332134804,29.716570124623107,27.048155243863192,31.201445604380517,28.176763729479344,32.38153039108532,27.64511298801594,29.032807328202217,29.12972439919549,24.872100918639386,23.846173943607727,20.254204497503977,23.096521612687678,20.33170675689896,23.776739885751393,25.199806117876435,27.39503304361987,30.778003706330402,33.168077001242885,37.257274727279935,33.92768526004539,31.970650951696037,28.366380685574978,27.691692726308727,24.493101406313404,20.72618568294367,22.776990097515352,18.232235083367684,22.591253817834666,23.84660484671802,27.932781757328204,28.418071647061502,31.436759714048655,34.08483645034656,33.50734661478306,32.060155343450724,28.851176240578667,27.811765802360522,28.363475471828004,28.808929766161878,31.108674586379866,34.89464178461278,39.083537033764955,37.260234082606516,34.22910167183608,36.399724911069804,33.49277365523934,30.67920434054996,27.93063086528222,25.80535372121215,21.87369901475498,20.396173294226053,18.348115259951786,20.221280629552744,17.48568447320358,20.960333141432155,23.12410971432607,23.646491400887403,23.875920452749778,27.06376545284759,26.649206642525062,29.39007186668388,32.959095161348095,33.13438250930254,36.77066737763689,38.0867359101632,37.319872095742035,37.98804727749939,40.754614569316864,37.4695206706116,34.84056822066492,33.701198547455725,32.41780977962256,34.513491431931406,34.43155431837754,34.65920047629858,33.878568563789145,32.93443721106023,36.980435585587095,38.12194285180355,38.032327244758534,38.108552873197965,32.906520680221185,37.48679983844074,40.43485698506907,41.017913378374644,45.11043321475685,45.52829933722251,48.85286875743868,46.77979996432942,45.91307023772407,43.66003269945538,41.18815004433696,41.869020671254,39.08631367349087,38.13132728702098,37.33479488734274,32.616342713736344,31.98855536829002,28.567720279733802,25.777736806845677,26.444063692017057,23.345181750493996,21.229263803817815,22.381485117931565,22.246775505892014,17.673522905468417,18.059947517464035,19.815758051386496,17.980091361713978,13.579364132284939,15.662346350887901,16.325283662147932,11.828565997709562,12.060122697220644,16.108013991302098,17.990754017028845,20.1579774148451,24.580334512682526,23.30735682051277,24.45823361691351,29.597512103072827,32.5775919485494,33.99133276106763,32.79374248282968,33.08456567673171,35.21395120477293,33.01232210148893,37.79258245557767,37.145828275841275,32.051714832980906,34.9731811600053,39.098776166395666,35.821576241993384,34.100317160991096,37.925733339062106,38.8945938714471,34.86744888989197,34.75946038236752,30.107203546652254,31.148398140438506,32.85844699257506,29.992007324928963,31.009390163616924,31.474244380940313,29.35881872414775,27.023904504657434,26.452520369900732,25.703857945126526,22.216792761056258,21.123522848018098,20.697357339313783,17.908761756455924,16.151019477951444,20.116599279599264,18.656757901829202,14.018275328438952,17.23515307776793,20.963303708084783,21.678552497005874,24.7380254940506,24.852624018728374,29.080228719196917,27.353108426871866,23.28253162927084,27.666779987857826,29.512789844087063,26.790062636715458,27.100920979713038,32.64610959294847,31.958754463665997,28.165337650473457,31.2218474005073,35.38762716384685,34.01106083789243,31.190841181187686,27.194241092531776,31.750423519727082,28.797906983537235,26.755095169811973,22.639197754080755,20.47853423797864,15.953905835842598,19.283989184614775,21.392531674958814,25.21501593408461,25.413773222220545,24.169405379613934,21.144690998966507,23.442101570732547,20.52087003348732,16.204357935847327,17.79569401019117,17.201921772361207,15.9426921296164,14.194003671524747,12.108822569113098,11.008936301445617,10.608166438863938,7.823345683211663,7.52477478088637,7.029032201602366,7.257054177284189,9.079701168550322,11.929573198529368],[9.662554679889782,12.598963635393064,16.083705890722552,17.618357945029622,21.564439041438312,16.42106924742513,19.736183946658098,19.953450529312853,19.81944543463528,24.272231306800816,25.302076679810163,24.991783451620254,28.567586419087945,28.40809563998076,31.578251837364157,32.878063141706946,34.056049830265685,38.394952292821,42.33991489898957,44.08814120478336,48.053709343911336,51.707970617201184,53.01783959044924,53.31781062016464,50.09673928555257,46.145578299521574,43.316655636941945,39.18306000590298,38.259031784537456,35.916096868265804,38.256935867634674,35.928585925318245,38.06038174587908,42.78472769394433,41.49344482506925,41.628701825452424,39.63420242515831,42.784877307962546,43.287418143924825,48.23876962463055,47.22963398944165,47.91911400991345,51.849386978596854,52.50566768917291,54.77665628727353,54.00838029235346,57.64087566678821,56.42271015583276,52.45763893133031,55.75823124358651,57.345296131784,57.09046003775854,57.60202269636642,52.81792169821035,55.576820449826194,59.670255949216475,56.89777112397004,54.14860128816447,58.631534860319725,60.86951257990368,56.468746459429475,56.86893272876313,53.90156254395142,56.770360257407454,55.34815419689965,50.993546470891836,48.58298813783984,44.56992362605305,43.31408779778078,39.76090706796798,40.25625058463601,42.35489413226361,42.82460414142306,46.89137437913473,44.97998883180293,50.682590669970445,49.596721845233944,50.926774763407295,50.27785492389469,52.0365946475139,48.97850528253882,49.32869963521681,45.73616940700588,47.01268877145627,45.41900032919665,43.53645298543853,46.101430649410176,44.81409440896931,45.939502129887515,46.825129349693896,45.23276174883303,47.71522305759705,43.673632763961436,40.468252404236885,36.276314029522304,35.706509933508414,32.129536920940424,32.91525865717294,29.562354270586116,27.686945235071725,32.533926890283986,30.189292078951222,34.714268067454086,32.051066504983616,36.651189431178885,32.12542795906636,33.5049766425418,33.89708316281036,29.737831741082474,28.469343391274588,25.088502976942916,27.83539888716099,24.8592154122239,28.36721214001096,29.279223226587476,31.613403173502117,34.76386806356082,37.26331455375986,40.95534687623732,37.44015610619935,35.440422444199065,31.88738407944479,31.57306840989097,28.58022980880541,24.984066199019143,27.538495516881113,23.20487631748705,27.615253283277784,28.92317262132409,32.860444600831244,33.54597524166475,36.44805052426739,39.173238867045,38.410338211216676,37.14154600203685,33.8813342401645,32.975726308398286,33.358905315525696,33.59584888530349,35.814084237629174,39.42014604910578,43.57673047873223,41.56955694442822,38.66007793344049,40.80692924886602,37.694603672856296,34.996468355137125,32.09507152703769,30.107834658922556,25.951455147171444,24.479781787601908,21.706265956238827,23.144094109347034,19.292174831029936,22.891777995222213,25.792303781814994,26.792946728492943,27.498819379207568,30.73181504911126,30.908958312498985,33.98194378574056,37.263051102991135,37.76658417480656,41.33019671572601,42.93912280172206,42.25401153370972,43.058404330915785,45.85884863103081,42.62225868019649,39.92059587582771,38.81062877058738,37.398177262079166,39.398023747214864,39.15022020553019,39.12804729095268,38.12352795799798,36.88209219904205,40.85422421466702,42.35150371769596,42.3544397811099,42.77477139769699,37.56024298933261,42.280555006524544,45.305273247870836,45.86493674409722,49.901819522741945,50.16080397236917,53.64390241171195,51.51902306521473,50.83336900158871,48.66358131846556,46.19908315527481,46.968756419981446,44.216287500638146,43.26721844888733,42.46352738291516,37.76828348872885,37.029743073264775,33.55828701923286,30.727763047748766,31.09536983813971,27.87733660203026,26.09214281994036,27.11211365343882,26.548021613042433,22.166564075819302,22.80625241707915,24.028848531866107,21.65537168901309,17.83053747260824,19.540380125456856,19.477800823148943,15.058475291716155,15.557738278184953,18.810841465647663,21.32687991018089,22.659206418964473,27.94444257820398,26.88341449661366,27.505966434206588,32.74443614149697,35.095800413491354,36.911714225750266,35.829857400360716,36.55556133863041,38.7386673299438,36.82349909913074,41.674709662093186,40.98482639685785,36.24605144445545,39.25830276443101,43.37059114513036,40.20242232938205,38.6976006342096,42.604323765567536,43.51618007379833,39.52292798127528,39.711836127671376,34.91033858795688,35.91595701125262,37.39616469212199,34.21250298390677,35.0309771923907,34.968225094836434,33.05810760681738,31.1421470081925,29.952999486824133,28.899462774932122,25.967526776686828,24.871023439834584,23.62592601160183,20.742985484224548,19.55299661852242,22.79958658569632,20.629940463442804,16.191645422127788,19.62694177756389,22.942930398004712,24.32977186170799,27.557308977255975,28.2306099045898,32.39950774458753,30.37151342885818,26.93963291838787,31.520223006321697,33.12638550902074,30.463740969765556,31.34395267618548,36.63396291016928,35.730864788391315,32.31386550275873,35.65332717507982,39.50157195245468,37.9637096120024,35.34675366193066,31.412166236192533,35.672076447713806,32.65901644659909,30.24152702099514,26.480912725019756,24.643819352783197,20.322273414736745,23.42912565334912,25.866888985223234,29.646331566673425,30.166219648690067,28.9326649579508,26.227116891365807,28.542743805965568,25.706796523593447,21.322912393647822,22.540169731621255,21.530389090893387,20.0394549674698,19.017681715144263,16.7397796815018,14.888104947835071,15.010945250172663,12.944509814020027,11.572431334300013,9.808625268705962,9.699925733847772,10.411441725259541,13.251550209483579],[11.702837773531863,14.10194278089763,17.31871702023367,17.55221198853426,21.422435944440707,15.558358120954892,18.230481017796873,18.315779370310143,17.237060763451293,21.489510359136375,22.12177180646032,22.001368128399037,25.835105933862575,25.270111478049923,28.308375213773846,29.897155177250696,31.213402485272393,35.39242325357796,39.30915033373184,41.28689875080593,45.15400837433605,48.97782802127993,50.180780235180265,50.5845599701595,47.51504200354579,43.4379905015876,40.83402020199854,36.652664762260606,35.603040311671506,33.345441373580464,35.13920991687102,33.24004002802744,35.202709765819506,39.8684932363413,38.80805737499131,38.90535606419468,37.292346785409926,40.42634444028826,41.13313308611132,46.365982320387985,45.206085230239,45.47198990663834,49.49763502111822,50.27937910527513,52.47284181331708,51.85153847191539,55.52634022439982,54.338092141192945,50.55077698895465,54.073978046826326,55.552176006917236,55.48738976856839,55.82202297569596,50.95355979563583,53.688531929679314,57.62426718913453,54.67123744342933,51.85914573057951,56.342239174156234,58.49496956205514,53.88912276841967,54.070969782009264,51.023896342572264,53.70496355780878,52.45810034770525,48.179519678178714,45.451749601209954,41.42846235367057,40.005195795644724,36.30522976432062,36.73062817662291,38.633503430807345,39.19162707102683,43.388157267430984,41.61991485797739,47.35469895290147,46.56770783684817,47.925603843902,47.52805908882711,49.50705783553858,46.72018567400178,47.342992554418494,44.00081600461776,45.529816006681614,43.817018669547906,41.62273328782192,43.82749455593303,42.5335383035385,43.26520103849427,44.020995745107996,42.157916158771904,44.40209384960032,40.317614334507795,37.195456573770976,33.007857088406865,32.18867474190452,28.617656457699425,29.866895265843407,26.728254097153158,25.297444776802514,30.238200720870555,28.621841519767077,32.98651623664815,30.968005821325775,35.91385513613135,31.60105650355197,33.544974388968654,34.133895199465606,30.127633894444447,28.486717175545508,24.88968024960314,26.926609901138708,23.423657952984698,26.767153432912586,26.98709513710106,29.399546612607622,32.26778311545601,34.86069057758688,38.12738592722461,34.49891784206344,32.466574793442824,28.991997332335078,29.04935258355382,26.2829635476279,22.93234692458324,26.162227328396014,22.456037736567897,26.98200697243434,28.765386080231377,32.60776524711954,33.7454681814918,36.85393324550897,39.20992012364463,38.22867934979512,36.774814809455826,33.17705439435896,32.69474299351656,32.42403043074143,32.25276088625807,34.23426502714525,37.599219666860805,41.627495766231405,39.36698684640037,36.63989005365827,38.79397372982713,35.529500909426986,32.946208401077044,30.046923695040356,28.43794780052408,24.11042547667851,23.220407939022053,19.923902223420544,21.916792125314245,17.70857185366718,20.701696726501417,23.871476402969854,24.645554554392746,25.95995565811399,28.7567649154886,29.64651153795642,32.66831209077206,35.44493868268116,36.14287984007596,39.6935500795839,41.70834017309962,41.07948151394019,42.300295595854514,45.19344455005722,42.23254540919403,39.22959083725257,38.20164244078866,36.39124538118024,38.34537465215706,38.00185852383062,37.75400450171078,36.81997166612179,35.10014972378154,39.34655177121382,40.87357733444977,41.21317911007835,41.7222120160578,36.79327862910255,41.8152350252672,44.94810328241212,45.10599898980457,49.00882058603075,48.86879846260016,52.53286107229307,50.07859019975951,49.77533602177324,47.79148097619806,45.54606663192964,46.63257568122227,44.06698140717746,43.41910102499088,42.97404214192926,38.264811978900624,37.894600365574014,34.7166807151936,31.709424763986412,32.731035076751176,29.388215723447015,27.247644218678925,28.83298561999534,28.697609521175085,24.057984616318812,24.56097776840402,26.450848999568716,24.36789007498033,20.202433527939405,22.213680654218653,22.683027381659926,18.162609643128356,18.304003173459133,22.065541604766715,24.207827343910665,26.181554600619865,30.876348663429244,29.822487520628698,30.816480096398376,36.013290659562585,38.70058403810027,40.30488664373324,39.04418019679487,39.4465974305857,41.455493508772264,39.16505088690472,44.02026674018569,43.5781522253187,38.52123829432885,41.28381658657718,45.56314283330285,42.3776293179591,40.534999609601726,44.254251807734796,45.406415716158826,41.38966286315887,40.97439496558571,36.48831118323678,37.1616612595757,38.94830776179735,36.10540934074856,36.72705079493422,36.98163033558719,34.56906578301483,32.725979543233564,32.15163925624035,30.807093674238928,27.52306457997481,27.009572705135877,26.059960680951328,23.035641319019238,22.05320759359208,25.79014276155968,23.740728955104398,19.342015903190173,23.03861830012971,26.488738082536283,27.693442496842618,30.712311419153306,30.944849710613447,35.24312969338051,33.57689109090001,29.768848284861996,34.12301741432456,36.036154613745424,33.36348481939163,33.72641303198103,39.25974638207807,38.56047372202933,34.77595459154515,37.83087843474989,42.0224325836719,40.56388309867968,37.68883424368176,33.57224505090217,37.99203191243296,34.76456545486422,32.840957714756705,28.627563112570204,26.860892589712865,22.213925374085715,25.02682987969925,27.37287742366042,31.23363801980539,31.53590928317832,30.58778961600773,27.204327241975957,29.397013623034564,25.92922671415925,22.10608428797855,23.287804101014146,22.861215483845807,20.59024082771379,19.42344242857874,18.207251658217487,16.274385121979368,14.887200551500959,13.730491121924961,13.726125145550894,11.640049162674098,10.583174551848996,10.488245860922502,13.125630316505598],[10.179656621890325,12.08567189740885,15.32443047184733,14.607338637314541,18.830800528455367,13.21299889647753,15.887908540996445,16.730190537459542,15.384800426482432,19.346114620035813,20.346359215027892,20.851169337148484,24.076007016586775,23.143718512057507,26.662984600689473,28.334902894668993,29.14403726277187,33.38599058863308,37.001555306195705,39.154844778330386,42.928220248375716,46.8022835740737,47.851190701530584,48.05798233727788,45.05076273186491,40.93140517411279,38.41904001482258,34.28317833378917,33.58616597145842,31.686931356139127,33.71640246001369,32.12386528874877,34.422834952012934,38.942465324176304,37.638864283699505,37.34799812102422,35.88098058345597,38.53087451678994,39.04028637563451,44.37602117028326,42.88500026962285,43.250099292891285,47.360255272445514,47.92407747773897,49.93779827536055,49.16761245358323,52.86107013001333,51.88280664577268,48.04324795909264,51.60006334651272,53.28781831572955,53.3433449333108,53.81414373423996,48.90530603207632,51.959064948169676,55.745830766916754,52.63101132637076,50.07621100652223,54.66019035532971,56.546815439254296,51.92308464294982,52.3271997698092,49.44494391056317,51.91747120185345,50.47909291265848,46.29625146260296,43.44382008125712,39.56180446347954,37.87484376561961,34.37525373479672,34.589964729433284,36.57900446346596,37.3942770943277,41.479163768155075,39.99480850334245,45.918188204816964,45.013148578686916,46.689512526508686,46.174492033335504,48.00558028437101,45.36710605923669,45.77792247263889,42.68134001536411,44.00969272804479,42.013566108862285,39.9697237691372,42.099886490059326,41.21266264819358,41.70316661493709,42.9037699409981,40.87205178203822,43.244763351626275,39.22641678637333,36.29058243487396,31.900622226502616,31.267798795679788,27.432003008058622,29.08826349606763,26.00773447929578,25.25688961577965,29.625403829685283,28.20651234466287,32.12241840463948,30.133517074980382,34.83507963801224,30.38222451009259,32.55636161333102,32.828352185747235,28.742267533309935,27.331619763327776,23.37058371152246,25.087437497225235,21.392747859344894,24.36897238259426,24.561834510056762,26.67147332063756,29.669861684813164,31.989567650337605,35.45289112508627,32.07184509150612,29.830636730668715,26.367256081207337,26.068869451308696,23.37454948952101,20.137251871439197,23.43592167636546,20.1831585099774,24.744774681011084,26.785211391376755,30.874360596990282,31.761201663573132,35.171452719790835,37.25151410828573,36.55610193029696,34.629085580726276,30.86945816192674,30.146213275574624,29.66585328819335,29.273546777567965,31.419138936047027,34.536127288335244,38.684045912946395,36.602938239103096,33.946438272923324,36.330396873180106,33.28158231758739,30.57526488589599,27.997921163774528,26.609441903252456,22.395569272885126,22.02146220001951,19.10465891658672,21.860575172057484,18.302020320727483,20.879484106843645,23.635673151320436,23.794257692376068,25.0875611861988,27.506664621473522,28.25266136500544,30.74329109765376,33.503411520588045,33.748202228599474,37.507922722042686,39.33457915008501,38.35551679278136,39.76527436098541,42.487361148592996,39.55608086852617,36.44074451738896,35.621730495913816,33.80972383496357,36.0961884896554,36.02418271925235,36.00250680636286,35.433706712795384,33.712007840421116,38.263352198670816,39.38731355529292,39.8436253005805,39.92207220585933,35.20486102310602,40.177934630497916,43.23265351328835,43.19977010319459,47.10682240233873,46.93008507921667,50.4575976191391,47.76220596636472,47.45649796556724,45.42821277228351,43.36739538363403,44.44009359626026,41.88720835620032,41.34189296115994,40.951149461539984,36.17867287279158,36.120977257324995,32.97616318237114,30.197472990418692,31.566074921000673,28.495910329937214,25.93271407135106,27.449319122238403,27.86205852174892,23.146448825497895,22.918657497713188,25.3732479516912,24.03072544616316,19.208467601048543,21.129447543965092,22.21868984808578,17.834195736438055,17.18066528435833,21.27805406766926,23.002368528483377,25.76936081022447,29.63546551242766,28.827622121473727,30.292532018734402,35.506523745626,38.509442365975026,40.01416202137724,38.95864895203942,39.13991723728081,41.230064156927085,38.82818381978043,43.57225531953705,43.00716667595336,37.676518153348624,40.46012553839684,44.61140259695347,41.20512291846871,39.25387257379649,42.91551213393,43.896522839225966,39.77000160543581,39.192907398675,34.94014735190696,35.89122373015309,37.957613307220136,35.46434227099015,36.35898949819446,37.0768883213767,34.53986961773331,32.29205564995095,32.2200588474852,31.192160823094856,27.481377504317674,26.88736804768756,26.577257339361164,23.663051364593468,22.17268154958788,26.289357710637905,24.71568743574004,20.135669401796456,23.460310006923518,27.166892684619324,27.904321076981496,30.963912062588612,30.92972083384259,35.19025645107741,33.53346944147485,29.270600415745367,33.56280553443224,35.44496494229006,32.60330166268861,32.60894151178557,38.31965860753734,37.5015535511986,33.36918884158027,36.34551042061174,40.703661005940546,39.10789681299658,35.996104060637464,31.697448876222197,36.105257693319075,32.65902680679723,31.16609255752493,26.621322779723208,25.108885535846607,20.29020066994629,22.675384483370358,25.03146238708554,28.895493815743457,29.220338500655863,28.682773918948865,25.082282294725772,27.517347785519085,23.787829351153615,20.344876485590994,22.210303804106992,22.310510323960337,20.193426909561165,18.217843770910974,17.3800535493691,16.231244432240164,14.013716670513965,12.258875050393994,13.473518336328265,12.301362235957765,11.287138190623653,11.657528569209312,14.136997609408878],[13.10063210200407,15.393095874171856,19.0890003437698,17.861744336751624,22.51392645579346,17.08715950405463,19.444652158147264,20.35967259450142,18.296035444948853,21.835413677999664,22.39191950791045,23.162693999118606,26.61180005322434,25.07816522729104,28.466149598563963,30.52346824433592,31.394731697373544,35.40221273687478,38.815424763452825,41.329599500110106,44.91289208870016,48.9913974614342,49.83026212544825,50.04648392405155,47.274678196018336,43.012284916905486,40.825839298416,36.70296843932301,36.016558427950834,34.294960043261135,35.66023371997233,34.59085277298915,36.60188000728948,41.04090608719712,40.05986921985883,39.743158988457786,38.68137571658876,41.248411704191334,41.88628409888211,47.442876296344586,45.72702864298772,45.748856116966074,49.95819971580771,50.54441900760966,52.37291474023567,51.63265636921411,55.35430373218387,54.547308133842826,50.84263633817789,54.5611544038292,56.26962843713051,56.50516001687693,56.894633262163644,51.93466465698065,55.02367329110519,58.6456231468331,55.3490186292757,52.80401662646557,57.38195602989273,59.13460631235229,54.31986074498104,54.51993453825057,51.57461135460101,53.76800151629399,52.521876100215,48.47904147386802,45.19577723321507,41.368078165551694,39.343958568632765,35.704314243854405,35.68119888269717,37.26319624628386,38.399292287558865,42.67066282684101,41.51019881096449,47.44990717731573,46.979278182772454,48.67388206016474,48.4751846207989,50.53539789168743,48.175465893167,48.81436843354989,45.92837059873138,47.41930340987864,45.325506210339256,43.09212645516961,44.89730488187293,44.02438610514676,44.11709544370602,45.14083848331782,42.80381522791704,44.80153216292553,40.73799266706019,37.92062280264282,33.62673865420626,32.561497363887135,28.835418384293803,31.093658571392506,28.316295481044218,27.804245102078465,32.41432053612845,31.538696959697777,35.410044059790096,33.83852765506578,38.70214012880351,34.366932045277366,36.702696993845244,37.00313014525668,32.942045936727546,31.495083953418025,27.479949109017962,28.902136510935556,24.966302577400853,27.66352293332149,27.32116193572176,29.270003560539685,32.041496269360096,34.19793555199225,37.296168113372715,33.98752811773016,31.567517595711088,28.279412477285298,28.10239908072642,25.792658237534177,22.95377058941206,26.66610687715419,23.97502693630092,28.52542459239438,30.760943746362454,34.879274783380474,35.753182283057654,39.2823298483715,41.2139655850671,40.565548841704484,38.44398332406067,34.53831219182204,33.75941457945211,32.96789635332176,32.20111474644553,34.35558869974557,37.01893233536113,41.166419428779875,39.05993579410807,36.64370718117499,39.158907316959265,36.11469180299799,33.48029047420696,31.056497242681058,30.007787694055093,25.7600020453237,25.75909514594289,22.531427577192783,25.363857750626266,21.31752185503882,23.59711015847685,26.710549212740396,26.858610437677758,28.58385997986334,30.705541637315655,31.915476890592817,34.28744806019354,36.70108753695391,36.914465684113985,40.724121194681686,42.69170984617643,41.51836939824981,43.221720531632116,45.82270461241807,42.990191952405844,39.727758482330444,39.11367760532369,37.184861596190565,39.61946047319588,39.5990983613777,39.504747306840365,39.01334998023092,36.99371777442382,41.68528047608837,42.831171242342556,43.48813255360101,43.56357384485986,39.039054224985776,44.093415155429675,47.154855634620155,46.92469415025101,50.76222927018877,50.37319580625046,53.94147237032425,50.97946004574266,50.88007633551914,48.91650622493065,47.03574545219693,48.19201872640103,45.69684390252978,45.2496974416808,44.90455039481825,40.10888052674594,40.19316509573193,37.02298072023212,34.37086147249682,35.74044441711537,32.748130408428764,30.14775184872947,31.502413595405777,31.954306953105547,27.288740907087146,26.768831601029966,29.1964473146421,27.93959180756676,23.037052523566025,24.646061327623322,25.63139500238156,21.342826458613786,20.365502026382064,24.123674325222897,26.031714160461114,28.744829226856563,32.67018877754465,32.22594056335727,33.62947400413428,38.958812540873595,41.69291399899976,43.463694284911284,42.65892115614425,43.02805349435521,45.22991767073017,42.96243461098988,47.704467977988365,47.013147378255255,41.74420184174828,44.629701685237244,48.6928133327883,45.196036028388804,43.3345930307399,47.03113595704469,47.83584443427445,43.64112937696348,43.18914199779911,38.97563903481698,40.105985833205835,42.19633873554844,39.68785524668037,40.61748042541651,41.24700962059183,38.76189168498119,36.558990302308715,36.35410206094007,35.293607267262644,31.696879538542643,31.03792823880781,30.54481456984908,27.610739425939546,26.170565356155546,30.065707566744376,28.293156747462948,23.707955633097768,26.953982863394785,30.558341609646682,31.467314548215143,34.7014312684612,34.9063482294799,39.12203200787041,37.22633783349215,33.10503172302159,37.540081290127645,39.216791668712666,36.28012776686913,36.48425881140287,42.148432056026095,41.05266229059816,36.94889093501903,40.1173410679959,44.34948231347704,42.49713098854301,39.362699596845786,34.96511858684075,39.10217336009853,35.42032630344846,33.95628140781346,29.462232409491307,28.414849523475905,23.63792044471812,25.54115098625293,28.17665174323532,31.990376018199058,32.619090763983785,32.39360367112652,28.919739782529277,31.549918540571,27.74156370884785,24.45568094197921,26.487859306684353,26.585168071927882,24.422584892069512,22.48087294520971,21.60783259863829,20.412889383501113,18.23092072644925,16.45402124588482,17.473346635432442,16.14005234075199,15.074818602435974,15.031152054578365,17.314115699504118],[15.277691496100866,16.774597511815877,19.828975955157496,17.462378588684622,21.700116187983927,16.124706289913235,17.655754925314724,18.669447691394993,15.756802162546983,18.71508880937764,19.030735011293647,20.278106948950633,23.525516584068956,21.493885873641357,24.906255888979143,27.20413395794934,27.95392148887945,31.78742174300588,35.02921455307683,37.75856133237569,41.20247855909409,45.396167753501274,46.10033764210469,46.33930795510767,43.71774640972854,39.38032126247705,37.42184249548973,33.32685870691429,32.67209280757497,31.195815535400488,32.20334847195178,31.63367236795973,33.64207892093317,37.900076454515954,36.989475599850834,36.47665244790386,35.79156787624977,38.11508230348167,38.84022722849469,44.59010466448925,42.66845877454372,42.38329454046922,46.657869802325656,47.27320784663298,48.98018797813414,48.329352572053004,52.062801063729765,51.328655621379966,47.78571393232642,51.66156350836715,53.32125126489113,53.73817963905157,54.02588687020141,49.02755629826213,52.17742071594611,55.599266345596355,52.13407779534887,49.64941087145266,54.22989738866244,55.81463115487353,50.87072345601816,50.99030823231553,48.07138663550446,50.037888573320494,48.852022027543384,44.92629326986439,41.38797611931868,37.63566978790684,35.40377073902301,31.76394425664642,31.608152633214686,33.08297459121885,34.368038378673745,38.65695181183137,37.71863328902576,43.71993821622022,43.41068717322937,45.25090751357614,45.18228810093272,47.32478060132507,45.25056625224584,46.00915523643407,43.44775794844618,45.041744000697314,42.777251280584764,40.378741171830065,41.849064029997315,41.14519784572976,40.834492741647544,41.94496333145005,39.357094783753325,41.228958482313985,37.20436141366328,34.57187453571504,30.238477167992365,29.10078787737181,25.30094645709441,28.09591885533571,25.595117700814967,25.808937340659874,30.055454541421614,29.85914546101508,33.30362424256086,32.28724028661062,37.21384453644088,33.09859478100937,35.90324743686761,36.25784375689287,32.40070565276343,30.762159774871858,26.606829235828204,27.285410050174434,22.999198623060074,25.311823840429568,24.33879229564359,26.204078111278594,28.699028658134466,30.827774884101032,33.577709296445725,30.28708112609827,27.80472757737281,24.642739452845845,24.708631790722567,22.695058448029986,20.24456063661995,24.464675295746808,22.591808361446493,27.046303088697268,29.678099444344337,33.66036927757689,34.83806807532387,38.53384248136962,40.050414257268706,39.29990827987922,36.94319955597497,32.79472143879083,32.367188867098164,30.966326494589012,29.807354163033512,31.725372590991203,34.08406083031958,38.078754319467734,35.81722047452942,33.60937813618897,36.152383473833346,33.096530876769116,30.57205432521639,28.320374372350546,27.709976915127395,23.518216815486074,24.211776178654354,20.892699347609696,24.342606152189422,20.58410065279124,22.056315085698532,25.018135236609467,24.685710572316527,26.824580558074423,28.360486104070826,30.058883898853953,32.13648394048654,34.0682910452478,34.29820845925367,38.09199273925699,40.318798547555716,39.137267146118674,41.214028646473565,43.83432356972968,41.29500964057479,37.799447890544045,37.29967592857699,35.05469311381505,37.481229850772856,37.457258190234846,37.25063302147889,36.95545645363067,34.591989153094616,39.53525799089475,40.530722224394566,41.488305742816415,41.488647627340946,37.34512982174482,42.54269553506007,45.62528683191368,45.01537379123621,48.69071315342,47.969655128229945,51.60969455109672,48.344213535510725,48.5630010107846,46.769764989641516,45.14184349626019,46.55237678945201,44.254544448975956,44.09787760731446,44.0865912580732,39.34604923682102,39.80868851894599,36.96949771035419,34.25884929161935,36.2260638487233,33.24802391314991,30.336748445783858,32.130934613265644,33.023296118023005,28.251080977131057,27.563524804716877,30.559394751637267,29.661566393452908,24.562282326121768,26.408902518628686,27.874771448072494,23.60763373436076,22.432736275487187,26.578011334340438,28.042392116336487,31.313811760177625,34.56772809724012,34.06687078580831,35.84207781857999,41.0515305774897,44.182094307597126,45.66800637516421,44.69511196713768,44.70212512223511,46.73630929415051,44.12716139784176,48.80064777112593,48.319967547134766,42.760576676366505,45.38683626188934,49.53697676930047,46.03012960105144,43.85797060057729,47.3264757640215,48.32794481994717,44.155509532751736,43.11670095283925,39.29253929533503,40.152387856200946,42.53420171993377,40.4337937206048,41.25759601695567,42.276430608704096,39.38566179678618,37.15355279360588,37.58706815685583,36.41377693188564,32.482266444384415,32.26349345613102,32.18513464372417,29.234963449759462,27.845246520043705,32.14868788113788,30.62836815532515,26.090175459220408,29.427873187193107,33.17083718066264,33.805386831105025,36.81575089873543,36.56710176983294,40.839305377427834,39.30770894477701,34.81349882878399,38.96080510336126,40.910807858693445,37.99246568671529,37.64987937541392,43.48912588333788,42.6262466717049,38.193812079424575,41.00478974902539,45.54511263818566,43.826134983888856,40.47082460376849,35.98673949533105,40.26449708421976,36.488909853160514,35.55433997066631,30.704747422586337,29.656288859184524,24.747101833939457,26.375386612369695,28.753706213699502,32.53540767882876,32.87715283126956,32.91471282953396,28.886152581850194,31.3414353856284,27.065715133845313,24.477303783156778,26.53090307760453,27.2046700702651,24.60338780656546,22.425082022396445,22.489081691989746,21.47693980474955,18.19425890327231,17.112448868077692,19.185176677673144,17.91873605797066,16.47025009136317,16.203132442387478,18.044587590493617],[13.48998679870604,14.414340596425552,17.060805319260353,14.375423139759775,18.466921011406296,13.008316184656072,14.581789854160553,15.993263736352247,13.31825285306883,16.332612880894434,17.173275700431226,18.618811432662103,21.35692553586235,19.494494088713996,23.292981306906768,25.37844388893069,25.794591814638174,29.828242757895854,33.03929555686128,35.63129829560142,39.15474305197352,43.244585176555525,44.00513595694597,44.12909996867234,41.3810458036898,37.10626654927472,34.97974790498702,30.893531506976725,30.43237778251536,29.038384540453283,30.617811280018955,29.861727766457616,32.23225179852857,36.46505954204318,35.215442920552306,34.516197149509715,33.64061208164541,35.759383459184534,36.29251222601311,41.95819260406109,40.00205652533395,39.99690371488305,44.257313400049384,44.73851401214321,46.47089416763889,45.71410061851481,49.44464378184454,48.71417465152256,45.047103699301985,48.838772977476935,50.601658218754565,50.96406564653794,51.37981718259859,46.38928169750772,49.68548683458914,53.14083491607303,49.70996737589121,47.352305027338815,51.9909011113611,53.52753875605372,48.698378364592855,49.07061037464218,46.27884772529942,48.32395890751868,46.90753972352962,42.9368191720132,39.61665106009704,35.902421162812914,33.74897902297044,30.314514976793063,30.20003577810605,32.00493134412699,33.21627474991411,37.31772522083087,36.31356070443669,42.40242333073103,41.7397492703139,43.73144761830468,43.39105237203313,45.30472168893648,43.12181363962828,43.620109905709086,41.0465010469159,42.43088776592336,40.08424425846996,37.888390676292666,39.53249410656689,39.03117705015551,38.859387144077395,40.31739115937088,37.849572123349866,40.039290687332446,36.082197502147906,33.4677772773604,28.97132685755069,28.229502798028616,24.222020673889098,26.815583694263058,24.149612202606917,24.543062984061535,28.333775285698078,27.887071681892742,31.12395425299304,29.863689128084758,34.547883103065615,30.308482026489717,33.11825123535927,33.29735061612724,29.413709589249084,27.919644670628994,23.64629403638853,24.296610325410516,20.053878385923372,22.304498896461087,21.630236197572422,23.42057415342446,26.14858196539404,28.228529664508446,31.34754490075548,28.14573737957723,25.647669970355196,22.359021432873472,22.12147810832382,19.89384831076605,17.260901728872888,21.30975449881591,19.42154317483794,23.86736564827594,26.522749010876186,30.592099364023863,31.64583638707989,35.409817743575545,36.86690321308465,36.23825760220954,33.75802274847868,29.617762556976185,29.100453088747376,27.758831956905784,26.69319155127964,28.701018905884197,31.20631078656014,35.28326964138994,33.136861447969885,30.80933118931843,33.40537993382598,30.463949196135264,27.819482859159123,25.653261160552105,24.960630775928866,20.86518483726273,21.63149491290145,18.725804671271145,22.479921825118545,19.356905783035373,20.81119430626031,23.324413644958526,22.68639062749375,24.5370646631993,26.049151220049595,27.381086123747885,29.238814722630636,31.374689194278776,31.37318406937168,35.25357909452567,37.28828415817253,36.03440343057981,38.03210135545022,40.632948075593134,38.04868546767907,34.58328598759661,34.07410567384635,31.89875270001996,34.41543276250844,34.50596197896281,34.465831643802005,34.313771117325565,32.142253723181035,37.145148127222534,37.919067801587154,38.80679275318673,38.5857773762395,34.43923009427732,39.548325529663714,42.58024029467567,41.99864581577753,45.718123079532404,45.11704471502863,48.659274647363134,45.4367230820929,45.520299362261156,43.659549243220965,42.01709317080215,43.364700953744865,41.039987177671144,40.8749535461292,40.86142481690853,36.11897052662897,36.65600790874052,33.86638778861239,31.216268762175122,33.340672209159266,30.47675336077899,27.41215285572962,29.25233598481918,30.375805316366726,25.608061310561304,24.740434194874204,27.984470877660982,27.390051830199447,22.143126626884904,24.07597131007812,25.84601886379628,21.68376911686022,20.3608066688631,24.730149443831486,25.88238884847991,29.480985180837994,32.296371609145716,31.716334800407804,33.7139338727172,38.82038046010578,42.20891461611295,43.499295668240414,42.48881906938684,42.29990511807514,44.29856483183785,41.585911219596376,46.18394383390145,45.71637713883451,40.033657653281914,42.59900329025733,46.7163452984876,43.174587737935184,40.91518483665446,44.3206597383328,45.33357437905072,41.167948330077905,39.98696134244725,36.27653607024282,37.16308642545217,39.64979241618036,37.73304271759544,38.658508696048195,39.92546836630103,36.97590038415675,34.550733711716894,35.27609343639225,34.27232097342204,30.130234931028337,29.91482069114515,30.210632023677807,27.355327450987485,25.750696397350417,30.265882000052805,29.061195904691207,24.523000040439758,27.698013863840504,31.548265807617668,31.89384891749754,34.79779704327284,34.31104388499738,38.55303323501084,37.164148908590626,32.440708463334715,36.44120921742106,38.47183278987888,35.55495212363335,34.94323449453355,40.84337177713133,40.0844314105212,35.51073576310504,38.1558991329432,42.814163088907335,41.18417401247895,37.753714612613024,33.272524204586354,37.662814821334884,33.941168503754774,33.20541471949747,28.21794348789838,27.05433885109285,22.120545150424253,23.751071784654055,25.94198756875654,29.713290588036504,29.88822776034243,29.961622858228424,25.780308514370653,28.21867025401394,23.875219193576548,21.469479787465552,23.732615249480947,24.661776659266586,22.187446731281526,19.643635540462988,19.961008593008035,19.346573936029447,15.71084022598666,14.489600282470574,17.17808476236095,16.379335305422668,15.009253814772903,15.098544094207204,16.893760872980007],[16.65049384552412,16.88725394517592,18.927700119546717,14.99414300810195,18.638625137915696,13.808060914224182,14.325772058919412,16.201613230078724,12.679310576826287,14.469321877836762,15.232126401962647,17.581440373623245,19.582673871491934,16.881977152483636,20.945887939024367,23.325491874332148,23.25777741523869,27.05765048665877,29.81669460536832,32.77257381610836,36.04421279025387,40.28045269942253,40.77963927215542,40.79455299884855,38.27646591177478,33.9039848140897,32.12617693281212,28.145243075195392,27.97154331601435,27.103090302660654,28.371620837768024,28.358264048813353,30.8295934168757,34.73058621866188,33.46679630627325,32.362369963240646,31.989295302991856,33.543999160596094,34.04219088091654,39.91737450673742,37.55484579653361,37.281729862423255,41.638958205093914,42.00716962805978,43.47583439849077,42.709171359810995,46.450018397673986,45.94908448484992,42.43373594360379,46.38767113689771,48.229896580184295,48.843483299315594,49.24069898614317,44.21891459069295,47.7371265008079,50.888928585065166,47.209853384821976,45.07611944685966,49.74460167180809,50.95192681438267,45.996612573782926,46.399343207282705,43.73852686183355,45.40216016937951,43.95723384919863,40.19830155019387,36.52128806568565,33.01070406044596,30.44201036068386,27.164591851345197,26.72435523059342,28.40527886054586,29.98939565614366,34.023803258576876,33.47704557243849,39.68576361222077,39.167678458132094,41.46400645608237,41.21825622223539,43.133286556425915,41.344932797189614,41.85085895139697,39.75359666132305,41.11846980162726,38.477075927051814,36.22814948943385,37.46435220029897,37.3603105119466,36.634303228108,38.39045806147797,35.58674403303375,37.66061307190485,33.820619703122325,31.544621065221374,26.995121660984374,26.261342118312395,22.142341075968456,25.49712014703393,23.249423316695097,24.64133539236994,27.72858240112264,28.03340588691591,30.586651622551628,29.891773349597962,34.40466121630148,30.391097175678873,33.6358021219711,33.69624452082623,30.04120107716758,28.559416101966562,24.151969930299234,23.92221897850025,19.41105531972627,20.88528771098728,19.485652621370075,20.86945870423285,23.321593743154015,25.10293012387705,27.932585755905222,24.981565702886265,22.24721394659939,19.178515240790166,18.92147490133675,17.21140950307553,15.2993757215522,19.829175470105326,19.24006984998822,23.383316119200988,26.45841108776222,30.42990022488198,31.55824498048586,35.54854126232608,36.471808307440426,35.94058251101364,33.017621966320405,28.645693397372238,28.286359475530958,26.24615042880587,24.61114189443147,26.471320983794154,28.382134893500343,32.363992909474305,30.213987433796405,28.205171793155195,30.97777609168386,28.216543445231373,25.65210185117872,23.95324617013025,23.89226635907226,20.092359032927572,21.799508740369177,19.15589907728313,23.55366631766321,21.021355364146984,21.580296613198055,23.693723265819138,22.360822124587262,24.530110412387906,25.225349219239195,26.9222671136618,28.13513953437523,29.726847231302457,29.439548261321303,33.38801773806241,35.525888370891614,34.02208848259379,36.49041061056483,38.94566250995512,36.67991752174351,32.970936832494274,32.74037005466643,30.307489468605755,33.00769276505561,33.268493182837716,33.25682357018809,33.49818165516975,31.03318182162677,36.345367109175356,36.758506779457264,37.978599320622365,37.45305930958602,33.84879425170316,38.967083606230965,41.92916368038737,40.91096105510023,44.4414763228022,43.51701836926305,47.01203957129842,43.374869824646275,43.75955926881893,42.043847898154254,40.77192852587834,42.31652466791237,40.19912933880289,40.34427790891869,40.632038887603684,35.980494106894824,36.993713649102745,34.53055406938995,32.04586865955469,34.717687954086045,32.08022548453679,28.69141086184133,30.723179039076047,32.37097662673652,27.667438872016408,26.34277814018749,30.098418987036617,30.070557512879645,24.63468626563089,26.53852033438466,28.760678118008574,24.829987223568462,23.114553594082476,27.586386640351503,28.291933165343913,32.43133883872912,34.42300804187393,33.99436072190928,36.369237870007275,41.333433192017615,45.0084175924193,46.10782334381082,45.13221434647459,44.64959738091736,46.565110697708434,43.63690666937205,48.075934539008465,47.680090821004185,41.77130056452863,44.14332032262832,48.18817116810617,44.56919811808052,42.09042739227086,45.25646044248935,46.28054009781434,42.12896061831749,40.47907572565281,37.25376341402101,38.0922793018633,40.88146167412008,39.445070668865206,40.408509093746275,42.10309738219868,38.88700264966006,36.32312479327545,37.65097161512155,36.715249640481176,32.29722251006412,32.33241325837734,33.09581023029799,30.336224714417614,28.637491550462954,33.38018083345982,32.47907472629241,28.011216178234736,31.02499959921777,34.949451100821655,34.98761544328512,37.7464021002358,36.92052330300409,41.10087274426206,39.92938060490311,34.90096958566706,38.62776640274372,40.751855860356095,37.81230834646511,36.72518055069552,42.70324058644775,42.01102391958109,37.14754221456443,39.48618667791534,44.33482928743525,42.71157998240606,39.07233124616321,34.524036502924815,38.85539829071399,34.9960868980387,34.86440931859014,29.63016741064395,28.7201810645371,23.845749474533076,24.887162471218662,26.849391789587365,30.450694740756347,30.475930187707185,31.015921316415696,26.48129035738331,28.85621711815109,24.161671576693415,22.664934509852895,25.181053782067607,26.70172385869916,24.101288791650003,21.18894460049902,22.290658711956354,22.106908078686676,17.723246907467193,16.86182382815543,20.35200968851155,19.87150372885524,18.406867164728137,18.43104389954366,19.76013648688154],[17.490919114569422,17.231970690919592,19.053505875172302,14.238994486594986,18.00506351408862,14.431704989720258,14.760775690815183,17.491911472427706,14.155270192913457,15.072609088040132,16.33528542695006,19.330034605537467,20.28323660309551,17.152246114635645,21.6876836401518,24.050276815459394,23.18855662748782,26.90290447220982,29.049357819506202,32.233572897668616,35.27225724099475,39.51491061100891,39.75535394397386,39.44624599287785,37.075498256041634,32.70774897825575,31.137801343237985,27.352903438168305,27.775247739743328,27.487380338014614,29.039774225116467,29.41952885743245,32.20578501954949,35.81089668148544,34.275758098046225,32.6953548006799,32.511489120961315,33.34339132825501,33.52125921060923,39.39635776371943,36.58990888146997,36.49647856438919,40.90071393046677,40.92238025403161,42.08382168547805,41.074693973633494,44.80237287632595,44.643031415912894,41.08470400382057,45.02400525791523,47.17096107363129,47.935456506246744,48.537461057730916,43.538316429568525,47.44924670244877,50.370320406674054,46.524640626394195,44.7895376133481,49.52726814072538,50.35981081188788,45.45358165843627,46.170821210935706,43.77927997464015,45.12694848743484,43.42944574185023,39.87468447397159,36.07488166217445,32.86906789736746,29.932481405994384,27.08261418669687,26.274515882645872,27.99452967660186,29.99015425065235,33.75241270031758,33.669456539879235,39.98963075377809,39.330809118663616,41.99960723456842,41.60031144177989,43.27441507547655,41.69352841631296,41.890343119145214,40.12768103373575,41.17500994592127,38.22206785600032,36.266867791996496,37.399549519882655,37.842019779792786,36.839469740221155,39.136767477080674,36.196829141830115,38.37907889499757,34.727833004048065,32.759605092373654,28.143512422727593,27.670893756860163,23.44911850514944,27.11612043944087,25.046935712003478,26.985618602675284,29.362356977430235,29.75819392144028,31.760889069899186,31.03212170604578,35.06304139692575,30.98533922134341,34.287554359854816,33.939200868982766,30.291546814482334,29.212220862718432,24.636800032710752,24.088836473453817,19.685126974548602,20.420637610434174,19.05254975074352,19.72512943490023,22.29247917499299,23.44022834201297,26.547476985006945,24.16868366751462,21.111459256693408,18.24871286974276,17.22475839617231,15.878591801092528,14.511563405152165,18.820379530810992,19.118174032981308,22.961128281052908,26.183218508427384,30.329296982852377,30.993158954216387,35.2283477007523,35.81805227748625,35.728545338726555,32.25919811603562,27.840765633309715,27.045699063058848,24.78230554702356,22.78653627402724,24.915013606777087,26.252579789451936,30.397680206204537,28.642997881273516,26.82824723903793,29.932964244604026,27.63192530610527,24.960902568853662,23.88743253180588,24.146695958248884,20.796087194196748,22.974708269811206,21.01947348888458,25.740448250926374,23.867016110339865,24.22624174290306,25.839104370809423,24.001052901073088,25.939364166824912,26.209889997273393,27.55865903849723,27.999794278967535,29.54882132668122,28.544414482068188,32.70831498969532,34.45804863331394,32.39756783707076,35.085212678479124,37.193071206203776,34.980816668259045,31.203619180720498,31.334712862312337,29.017830374732213,32.18316887948467,32.853634791766716,33.18806845281799,33.89484689924313,31.56737661272199,37.05829126648853,36.957691402734234,38.251562781642676,37.16303665422578,33.90040789109846,38.772082055815424,41.54943781103109,40.361394280625014,43.84776831587845,42.94338412680409,46.16583388984832,42.26919838599551,42.59772978965036,40.817874834838975,39.816051024570044,41.26079178751896,39.171809698218105,39.407565803669065,39.69526650792314,35.0691244785854,36.4168454627286,34.00594030838052,31.944987838692366,34.800376209909516,32.58977840187333,28.93652023381095,30.66804900256754,32.77958245703996,28.254298702364405,26.170981650801426,30.25043054816816,30.928475569542844,25.189061953265945,26.78260373813767,29.396526549817892,25.831048245794534,23.502561658738284,27.874453575067914,28.19142626242055,32.83718992447168,33.99273437372963,33.91411373780515,36.62455846447586,41.50086177479357,45.31040281013335,46.37580716772535,45.70347993858238,45.104762088395674,47.124681556546754,44.23699672042792,48.48298224183035,47.88841036197258,41.8731644886457,44.290328908846554,48.070247777956205,44.25306481560239,41.78658485462202,44.86518441473231,45.58504677679513,41.37903167615742,39.71013088042095,36.799598671619115,38.04367432903837,41.02501010934563,39.92511477314669,41.19994331461738,43.23810092334746,40.083368626562276,37.167316533876416,38.801052299150186,38.234673882276596,33.6283737112994,33.45720872809405,34.6772125664329,32.10324156458828,30.008776681833105,34.8002545665995,34.25445788417498,29.760698575360028,32.328731077211906,36.31859020825026,36.0111437659644,38.80500042071145,37.87649415722879,41.89450542472764,40.64486419343864,35.398756591524275,39.02486637126006,40.9697257613448,37.91416807036068,36.60305057005014,42.56800517355835,41.67137168886636,36.615289989482235,38.883012400134966,43.7236078684285,41.91342317936382,38.12472700521216,33.50633682894265,37.604699093534165,33.57324448475738,33.92021609864212,28.573863532653213,28.11087599361421,23.402020588681445,23.728930997524635,25.639750656133383,29.037015168488445,29.185830920793908,30.26453057194535,25.80285340314362,28.429576491705763,23.733525953392036,22.7975749686681,25.957345634214356,27.817000600594103,25.638502913892808,22.16074919429373,23.37235112503672,23.872020349223888,19.41505508799962,17.97909294407384,21.922735902084415,22.103270095725648,20.878686641538543,21.214833717716466,22.49362392544952],[20.0060341535905,19.079985178815864,19.84615334591369,14.618786492688445,16.976553840873276,13.8922894638844,12.977627835905043,15.765404820426982,12.15559176196019,11.807881369373712,13.253904277090019,16.821190969979007,16.811358203874253,13.343106296557925,18.12313734717111,20.421722712323188,19.092311073968396,22.722241871640843,24.677422229552374,27.89279685311553,30.878231681800408,35.11128022631987,35.32648610385861,35.006519151046255,32.635511900912846,28.26223988938361,26.749184844208475,23.0141161935436,23.60419772970374,23.653274529703044,25.313867186636354,26.004918769263064,29.000676268364135,32.323166010491995,30.60724917332271,28.733143078006442,28.756486497880186,29.199431278905404,29.33812059916865,35.27772759308728,32.33316161000466,32.129306815790564,36.54998916117108,36.554012598453596,37.68632759129744,36.74237781899898,40.47734815051809,40.29952863256775,36.82392130753719,40.843378846707964,42.9362941001365,43.79526532879492,44.35104380419235,39.348797404748,43.33285783427452,46.115843656203936,42.194956732276,40.559873342773436,45.30190429603315,46.00925851043698,41.096814971229044,41.903020785180885,39.62457726435855,40.88511973487997,39.0830220339754,35.58367949237221,31.800977688504208,28.6988269993069,25.717999363418283,23.093148038159875,22.247237917992962,24.22357843816964,26.18005019028757,29.730275341346175,29.725827062111623,36.08406166623295,35.258175157747964,38.11767772589375,37.614634941606994,39.176734663753926,37.7642619791258,37.899684990252005,36.42902539172382,37.44179985072791,34.34342776852473,32.37202603573981,33.301976144945606,34.01513243827368,32.78605166033663,35.38310485588497,32.38896548232376,34.70980130965027,31.2152750414805,29.46462780434801,24.819329722639726,24.686614495278455,20.405001068761102,24.209771051812066,22.398061920406832,25.052012936087905,26.581131910537394,27.41755793756352,28.770017052603205,28.4535334708378,32.2585795769137,28.493060932111444,32.13591162140306,31.81074211920096,28.530401892133323,27.33729846514144,22.862032574931604,21.486635412517913,17.028021175493116,17.110527997664512,15.171760347162284,15.618696960402442,17.968212756163148,19.099342832637312,22.103542524062465,19.781383028131724,16.682138426907247,13.86450378185118,12.898694142174454,11.82873223943342,11.112066631509903,15.747157819598664,17.152304273148676,20.528394283572794,24.02387274589858,27.823983022951403,28.81404462341812,33.058719882905464,33.209842691809165,32.99760532787866,29.398106828047773,24.862355263084872,24.576382677102217,21.70067468929262,19.383350319076435,21.135824326931385,22.314696440614238,26.267504569276397,24.340920312827507,22.65060788350419,25.74371466694111,23.507957978148667,20.93376108365248,20.16405794203601,20.884508742330034,17.931137748852137,20.813548259499484,19.28883353630528,24.360484276485685,23.315242052582423,22.94638883037252,23.94560825697902,21.525918957587145,23.527997421519583,23.131540640810837,24.671474026259688,24.639606401783997,25.743354471301537,24.673493783870118,28.77649164510034,30.71109202677202,28.750181487600802,31.71703708711187,33.8998040658809,32.026075817879686,28.092704881777372,28.251053947717093,25.62731674556457,28.677708337048102,29.346097457769478,29.628046143999313,30.58402519624437,28.10275017715084,33.725301449266304,33.36086285222788,34.87302965278335,33.648664950572346,30.825404452236967,35.69788194460141,38.44117668949203,36.93189551241671,40.23405279395449,39.084161649423045,42.332246242102336,38.2500403771234,38.821309298222616,37.21283415241963,36.425814290078776,38.104390174707596,36.24454169091368,36.76608976725937,37.413434326010794,32.97681279597918,34.65185384270187,32.71215524589269,30.60247599436784,33.99622830869495,31.857510320789114,28.06888082942003,30.261960433517025,32.69229009947514,28.28240040243882,26.309585879407994,30.7111496322754,31.61049594092613,26.10673689893804,27.949939265274427,30.826927076415114,27.423555658854927,25.28986505770443,29.824107082181015,29.732707934040164,34.578217676141904,35.196337395028515,34.861117399174205,37.789042653646014,42.36464606943347,46.53221540089348,47.2065832934515,46.2552358661792,45.265007575473874,47.021219290208165,43.815451927281615,47.90496739671179,47.59985260991611,41.42680652476784,43.46945375254557,47.308143365833004,43.62474463116783,40.85428239833007,43.605601131386415,44.6254593186109,40.581932828732505,38.25359046648177,35.824553840397506,36.63493308822214,39.82609347870752,39.17836104463868,40.28917114185181,42.683710106817124,39.211428347759664,36.34104666501155,38.59123187766022,37.95199998854315,33.16856098714538,33.44889474779942,35.05642038631687,32.59339684242084,30.64314526953912,35.6346910735229,35.36957102247048,31.123207152787298,33.70468485407928,37.68083609715138,37.12779957833371,39.559787294540584,38.16735445161584,42.13679855037864,41.36105370803016,35.91751901092355,39.08495701647492,41.333516808088994,38.44659571487214,36.58051329250677,42.55245065081871,42.05897013153832,36.847194400989416,38.5873346508867,43.66893498334009,42.18711231720319,38.31755781913988,33.83592590235111,38.09510131079361,34.26038868091782,35.03395483495971,29.583049858118216,28.86973626165709,24.325665574215538,24.63413630316946,25.98639787581609,29.194551970651098,28.835098519828964,29.958392117514762,25.041985675454807,27.206532114432996,22.25069556847681,22.217869775941782,25.120112636285203,27.48409302019489,25.0799088003863,21.564475258382004,23.672439671637335,24.351884632447305,19.30126717066747,18.7262867485977,23.20679816010784,23.475124836289634,22.143417769788396,22.418919063142358,23.244858045081042],[22.708727634751543,21.512713487044667,22.161747730297023,16.38956016485324,18.69025539212615,17.14187632440213,16.14494034603536,19.45265954172599,16.18568305823412,14.964981537767342,16.57017742545365,20.525964811535346,19.513385427139394,15.648594520147011,20.476472717345025,22.748548319097605,20.533551177805144,23.720658298937494,24.648436811255387,28.22056755771215,30.71653062352615,34.94430774701337,34.71934242451022,33.96739720515135,31.94981380904779,27.627382050222703,26.60887813730993,23.310683215723845,24.68471491012541,25.550334542501158,27.225498206635358,28.554126793616582,31.70888592729063,34.56085064945486,32.68082915331439,30.267924974237673,30.685157278804237,30.16829591385825,29.943314582122373,35.81465290957862,32.263329719088695,32.140967608317005,36.56441845044358,36.12270304533296,36.741511639223525,35.50820566907753,39.18186781340439,39.53407223403983,36.13182462826094,40.145701371855985,42.59744183462873,43.719353180868914,44.48742195609049,39.57653458705443,44.00351095494782,46.38263944465705,42.22787653105091,41.13916876797415,45.89204148236041,46.053296122620985,41.198672822584136,42.32108107383561,40.40677526911137,41.12953516500519,39.096760795653424,35.991383036321515,31.96255464961125,29.381795836505418,25.86400294909704,23.88616191722357,22.471276814554916,24.264245222259916,26.834035149367082,29.970406497633427,30.707335627207126,37.057593230560286,36.22525886246148,39.50814870407039,38.93706790531431,40.2493780095461,39.23578766552494,39.07360841145902,38.13556701441544,38.804461375711895,35.35229416675283,33.71865268988144,34.3545593078762,35.739980401272085,34.04142334537352,37.18672336815201,33.985532125306705,36.25292208083682,33.06576100903683,31.781290537916025,27.25364014647105,27.280999804703196,23.120296986388038,27.29969245956206,25.847134509023917,29.004060022465296,29.85302855598383,30.91644157576908,31.63525043876642,31.426538809167504,34.65063651175118,30.967958929165395,34.630418525881765,33.88154259779919,30.72097951904842,29.97483361016847,25.4794857033321,23.735508713505702,19.62498936653523,18.72353672986908,16.742616669116398,16.063051867562823,18.221299067967518,18.241050770814887,21.29694200683494,19.979144480287097,16.519410649008076,14.397990849957745,12.410243567442782,12.388448508206611,12.884239253532925,16.806635441372606,19.396728718617055,22.169537630952227,25.722801717747707,29.55863013860721,30.001849955217793,34.446794089108344,34.121632000335815,34.437055669716344,30.218080720308592,25.733828644501887,24.95731823895024,21.732588368841487,18.83006046443773,20.797196007397126,20.819547060086574,24.839957620945814,23.50809643980037,22.306458954886047,25.782372565141774,24.266772149256443,21.737904897254737,21.902214016498856,23.10528184050974,20.843568466465825,24.125511770435246,23.22076574035056,28.399757274003285,27.78448429972606,27.243652477202833,27.87807187446125,25.08037152907339,26.888459892331,25.977204375691134,27.222611230914758,26.2524725807847,27.091803140410114,25.14244282242987,29.375429885022534,30.83014872946168,28.127843983203867,31.463286119179333,33.10305258965354,31.435157944951555,27.437202241632068,28.153671558977504,25.688082827654274,29.265072856769983,30.436664850920614,31.095423889503238,32.60934503419754,30.25591524004246,35.971994384311046,35.012637253714324,36.658281594230154,34.787127226962355,32.54708960933606,37.034382563760715,39.501384327533046,37.71953828918133,40.858068228700645,39.648518070214465,42.5191916915426,38.05437887451204,38.65542898591445,37.045352047129526,36.709522859541096,38.287603221194466,36.54859039202906,37.236889214676985,37.92709288328625,33.62957677955681,35.73104400961717,33.924816651860056,32.3677301710946,35.910483992609,34.27977280582786,30.29606208069686,32.096078744683446,34.974645351971176,30.839214764660362,28.100388335255996,32.724417515027135,34.321604794611,28.61158461427318,30.06076164725968,33.24351910917576,30.237265862965817,27.53486436060118,31.82611914617775,31.37962198307614,36.64677898309057,36.38625678247636,36.49064458458694,39.72229084112965,44.17077852526623,48.403216417675196,49.07474163538871,48.490735148632204,47.40935287691738,49.274240498216365,46.15384282821117,49.99318741417322,49.46342048657979,43.24317340912435,45.31362570509417,48.802653648459476,44.92597721600319,42.204839945135,44.805186800768816,45.44338094913686,41.386563916528026,39.047910225418704,37.072311797256305,38.336142242318225,41.70654327500386,41.44788061897785,42.872812251325364,45.58834345229782,42.21513129307856,39.033020460900346,41.54886268503542,41.270949569872734,36.38019384518906,36.442711155390064,38.42985984753123,36.150581250775545,33.8626504639006,38.81182996303801,38.83762599312655,34.580169926507,36.73093161383119,40.72512149587792,39.87571764507351,42.353016243484916,40.91138259897464,44.67136049687147,43.78718923693414,38.20203026708614,41.24481223590916,43.248354598187944,40.259140837648026,38.19907557083338,44.06790359069168,43.31711337990686,37.96216645321639,39.60471786738195,44.596419660061294,42.885253368259754,38.88802992341368,34.39447215373379,38.252453167262885,34.24919948530901,35.6022875627923,30.152019750565074,30.03496937088984,25.820132285093873,25.249233450603853,26.51350554769565,29.349577267930584,29.17539423231958,30.96876233185059,26.293300812766986,28.68262291081637,23.894021922360125,24.51376021817146,27.979111005224333,30.59442671984597,28.630030561437533,24.7193215363515,26.806113995205592,28.035231022454088,23.108484265002588,22.009024134989787,26.65317864155992,27.402718893813358,26.26520420723328,26.72251275003027,27.558706233537766],[26.36562244385025,25.02046946030106,25.06900870629053,19.48001035857188,20.497309907849726,18.74131751172992,16.639131399420577,19.252796783050286,15.581736029445308,13.022916675088029,14.040686968035674,18.321304263783812,16.637794338501948,12.237197600144473,16.67706385518817,19.069130669212278,16.629630194664266,19.313602596031814,19.978476553133078,23.792741069759273,26.11395685677273,30.47772009965384,30.173092848533607,29.61612182247916,27.746690035309285,23.321330531750565,22.630299090021836,19.413167432308704,20.701219019450164,21.94212579860357,23.019265255628756,25.029762556633198,28.0481174513651,30.496818114795534,28.752185918744935,26.154184157511295,27.114287674785245,26.33506350004946,26.356647702257085,32.39463458245569,28.78058678802628,28.058662100219824,32.50947871986688,32.28297897424056,32.88233856852435,31.961182064452107,35.644847954009094,35.88016861861481,32.80084594141568,37.03966743335136,39.18616519530235,40.48635232085801,40.97732605318117,36.06270048986249,40.337955893108344,42.497261671210545,38.217023901441316,37.06522333795253,41.73972268535485,41.82208906679108,36.807698623189566,37.71830075703479,35.79461832434577,36.32321181379533,34.43087588196181,31.438952153112776,27.153417362696487,24.662323841658832,20.961249873083975,19.066116306230846,17.506883444314226,19.314902489346707,21.937833236905423,24.989322872406618,25.92520145466798,32.2453679032191,31.577838527888463,34.95745812460359,34.553925369499055,35.98790525885193,35.34141378764961,35.43865387827901,34.91389090790933,35.8241785912776,32.33533438888396,30.387435752661872,30.500102748805723,31.983119404156156,29.79680018857712,32.94528676513199,29.531782954724,31.643975212162253,28.620389026721522,27.652695604449807,23.295056515457567,23.40912171842509,19.443202541678904,23.985292055755092,23.092521061934317,26.98324344919835,27.144011987686664,29.042299375931197,29.137996359846856,29.763424375291287,32.99379301135512,29.91955391856227,33.98437840345116,33.558827899710884,30.924329313781463,29.778337333668855,25.616612897018324,22.99537618804627,18.87816903279047,17.438636251071966,14.293272437392266,13.516173096878504,14.704762321606054,14.867459906623107,16.947364338920895,15.544205539635483,12.0676597702797,10.416737513990206,9.407007840066582,10.431468743304071,12.115835187752758,16.357061177066853,19.86391114424143,22.097514905965756,25.830616405149367,28.996566125088147,30.153798577359147,34.40349976540356,33.654122782093225,33.52774894685601,29.493606686099856,24.95072717473526,25.165561775352288,21.21752909365606,17.991190067343773,19.02386021906565,18.716977832587705,22.100930925606686,20.205175836590406,19.403207665193957,22.62448207690429,20.993763464612876,18.893854201763357,19.301832866242787,21.18873186049413,19.345708975304596,23.25455341781657,22.372232395951535,27.61921320113509,27.437249237686746,26.045343036767736,26.31570512422223,23.142258867457425,25.321172923947472,23.61007790101084,25.564048995767724,24.37755088366397,24.281089168068043,22.741799101112324,26.6219584982939,28.690524440020422,26.4585440449626,30.18382704206459,32.04767286468855,30.95185784583522,26.805048644179845,27.423230418959516,24.441061265588342,27.500139975372036,28.395882461049347,28.682971739720262,30.280783470528284,27.484742214813384,33.24037815083139,32.24089232208016,34.259931983970404,32.58715172569224,30.93362820966557,35.53286879043962,38.0330101772049,35.81184513374543,38.60814523912816,36.888388974420465,39.96068429699179,35.25442496352149,36.40927657165574,35.17865295349736,35.10795303211437,37.116588952182774,35.75501250634121,36.821884768738535,38.00892600100321,34.009880959632596,36.33154612087443,35.08239972335324,33.261427911614,37.262757158723964,35.476950704178805,31.549512570334198,33.975169987685994,36.88721132995736,32.790791548886695,30.592329576151947,35.30091725326399,36.691780380332276,31.370325151989242,33.181459263594576,36.3569809553011,33.26730909805319,31.0239744260826,35.496405119782075,34.95551808910419,40.11788127643892,39.860588083186386,39.589470338669685,42.82279526952495,47.05385669127031,51.516709121043405,51.8662826459213,50.86265542091989,49.47473580498618,51.00708903088539,47.54374541233302,51.309957833689815,51.203738362160664,44.90930014790096,46.53781233455797,50.2169970448026,46.61045518051263,43.57176539876499,45.82497699816878,46.95027975277004,43.12833714098944,40.078160650971924,38.51503932584452,39.05241413324436,42.528570284256595,42.58626686332235,43.62224089636267,46.49639275442834,42.741911301038414,39.87403346685634,42.84343457305489,42.2393099020808,37.32351339807743,37.99194952848498,40.049776570737265,37.763394295934084,35.8813275670254,40.960202846730525,41.002972410146334,36.98041486119291,39.41772941722705,43.356760908190836,42.510515857762776,44.64369151158079,42.83547619779112,46.63095427563289,46.24137358921687,40.61791751437347,43.271182770589895,45.65538520609963,42.893904007890704,40.442507393115534,46.29248645913065,46.03098070778284,40.650129281457296,41.81008699295464,47.01069178196604,45.705495851836396,41.72123901156817,37.41150072077413,41.47751066649118,37.7336269932187,39.23263892740297,33.77194239422856,33.258588925460096,29.11022157596598,28.860679448645673,29.697382258232334,32.42580430961891,31.738961039721165,33.3106557285881,28.215365867215137,29.945316164985208,24.96359938041959,26.210431407193237,28.97424467535279,31.8710401844219,29.409479289207066,25.89521486853186,28.74654085802951,29.69887800337993,24.320623711371372,24.336176216854646,29.12017629407953,29.51596089662554,28.131200881758808,28.282829254440703,28.701884259044682],[30.207457738030616,28.975787569630263,29.32145497521308,23.499925997920155,24.89219531568335,23.685739705731635,21.804761962555048,24.562068714310417,20.874157600970054,18.2036028769947,18.897014106203162,23.197904650356147,21.36886205356181,16.763221184004465,20.607438141787753,23.12524706996353,20.389917580972604,22.237577225648447,21.752871881276242,26.021726314562617,27.577670014236816,31.96828378376874,31.06466395518726,30.177466253332742,28.982959136344714,24.679717627856295,24.851153521772687,22.259390536713752,24.012363209204675,25.88709024130315,26.315197775919785,29.11019095700739,31.89944431051638,33.8560895127489,32.31558848906787,29.413958102803274,30.963388039675717,29.48066412135053,29.37296399115959,35.29298665819254,31.175685530058423,30.159147580040646,34.51866158478083,33.98793889850969,33.95052184537812,32.899477402210124,36.429454556656395,37.24945740228288,34.51969434356418,38.782656391372086,41.12639695489838,42.769697382102116,43.310960759480174,38.56359914384161,43.07030093756855,44.69866402738766,40.16797199249862,39.487046010438796,44.036165859603074,43.5475020958392,38.51859642637775,39.45819221148886,37.83218692550195,37.61022612557287,35.76949800140115,33.36056941112187,28.58152174544403,26.728669262519123,22.392408769384968,21.0712407723232,18.81635378364105,19.824743920452725,23.276998262148126,25.977809145713334,27.893016485150078,33.98950234223138,33.747590428733645,37.39822030224057,37.234844978702945,38.63781762406504,38.57046190953203,38.6535998988006,38.70419573639467,39.49548164036877,35.79918860798503,33.9828874838617,33.582960265725816,35.50968690055506,32.69681805260965,36.00421415472296,32.26999497785872,33.935594116152,31.238041925573796,30.791171515591294,26.783102154373065,26.668763020294286,23.078516470825832,28.110515631584196,27.662544708489403,31.827691417460205,31.79883967254051,34.07108075916692,33.83775565482277,34.735359783974545,37.69845425872305,34.78160608878835,38.85325294428375,38.22975236032069,35.67486218942391,34.75400791538557,30.602168879383743,27.858455170188503,23.946601027481783,22.08374033695793,18.88566561825385,17.450373713777182,18.04179534031764,17.158405790385107,18.393433008849335,18.110877594196957,14.629682135421271,14.143616775944745,12.900607702579581,14.828617905909583,17.05122168298918,20.762544509764435,24.7208989484127,26.66891627474293,30.37004957694757,33.51292248488716,34.32379805022503,38.65823614942159,37.57140686710197,37.78058290943973,33.387840175383666,28.96746938144487,28.851890075905345,24.72549770482181,21.114045074319954,22.13776210297742,20.522449828516333,23.55735788211777,22.20397676522625,22.155420548072044,25.48776936358142,24.47952670326712,22.673632303767135,23.718427265618207,25.9465463081725,24.454994868233236,28.48071281272091,27.65670604840814,32.88779061831108,32.57726414562543,31.09068634578846,31.42259634340334,28.192386901408774,30.444960137897453,28.428544377082538,30.42930435542172,28.753194196518464,28.24734062875608,26.24456493275031,29.997296130209552,31.79182947017268,29.033917001787636,33.10106504911584,34.43153181910684,33.642321302509956,29.517842231979817,30.622660833612855,27.791391074031928,31.11226499067677,32.30728287387074,32.748698095045036,34.67198912208553,31.837842086955998,37.561851325919655,36.239692014875146,38.43667197886544,36.41685466044491,35.30343634179503,39.61012025840224,41.88673624212034,39.39184690692494,41.93303094966257,40.02067188501255,42.78575536717482,37.696666085541786,39.05986742391492,37.95160935147168,38.34865393957124,40.321514109343525,39.13668189350015,40.36313371206947,41.5926671539425,37.74896900645653,40.34719859292719,39.15710031401782,37.716238521002,41.7238144987156,40.2246715381194,36.211686867202125,38.3131726268775,41.43114585414624,37.449082759908954,34.76565765966761,39.53735924424294,41.27681555147948,35.74012602749809,37.24994488972687,40.53169792209159,37.58468271011266,34.93476391440115,39.21344768287385,38.59481857138947,43.97335071202081,43.296831988506334,43.43188055444347,46.80550332449311,51.05235423945468,55.445343722394426,55.92232009679858,55.24039926844872,53.89031367443822,55.54826662880125,52.193071786920854,55.82777592753411,55.52669884068137,49.2357762598738,50.93908041687697,54.36336043448301,50.605397602595595,47.657979280473334,49.831407590178856,50.626438289099106,46.786765448186095,43.83136709993003,42.55331701699818,43.447477760203306,47.00626608225177,47.24732490185312,48.47712472166391,51.471154822796485,47.79701115407123,44.77880883164538,47.788231358827474,47.354063999869524,42.412067973929354,42.90214967650525,45.04780929290091,42.7932260556885,40.72595541398969,45.755343206759576,45.837955296165035,41.70353025181765,43.958756320310336,47.929382535026676,47.00696299166551,49.28236497821582,47.56511631017998,51.26254045338505,50.68488672644915,45.01861751771622,47.715557501535045,49.868558558132456,46.9907749054581,44.5501621404645,50.32174150714431,49.77000814296549,44.330427669063816,45.54164233783304,50.60448563573883,49.035042228403654,44.98048054632554,40.6393385749128,44.30297669148562,40.36906880140697,42.209122022636144,36.80435542055406,36.829322444521615,32.85222424719387,31.982852497836152,32.92875713122783,35.39797541222256,35.0011335143595,37.065624109742565,32.259103090637595,34.21541380086139,29.403689782326268,30.84070272595101,33.94866090219775,36.87587251726714,34.60470935585311,30.932392452236027,33.58842738540099,34.71206610892766,29.448168335466317,29.052232070337222,33.796129488779926,34.30929046538316,32.964954046847325,33.109225138882834,33.61565649543905],[34.02300854982284,32.47658817135828,32.087685729111094,26.470915405628272,26.56287287324038,25.600596676895677,22.856180182975685,25.031817927763722,21.504172142730706,17.765833639999833,18.07706277193847,22.318084196077535,19.473800334160153,15.002437502359546,17.942750081463245,20.15966937513412,16.934311818557926,17.82007559061111,16.48152242725822,20.93109148123354,22.05507517832465,26.451842319055324,25.365806344842273,24.56522767271763,23.614497309676832,19.354617643139182,20.073960844440855,17.952883711062125,19.878160709987043,22.41661389005656,22.421185899449384,25.919714951638955,28.629977049498542,29.894462095204275,28.33667823965936,25.08650683538196,27.222571049026058,25.0912319930257,25.079191346070328,30.922126341137364,26.683480762029554,25.106365682498684,29.37643881002914,28.942516242935255,28.773779484013893,28.035028069385312,31.502422196216482,32.25718097484939,29.94998785507058,34.35438639939186,36.401962188659375,38.2523007683028,38.555927750554496,33.92039355917033,38.327552811626774,39.60792791077587,34.96406407057383,34.41045844409759,38.82684041800554,38.11928036568288,33.04143558927394,33.93956425049879,32.49698588405515,31.966805596065633,30.11551746879713,27.97100525189054,23.05148931484655,21.60271944408628,17.05840390175489,16.42976952763474,13.89557942568796,15.043338796736967,18.53265969626508,20.65487087409747,22.972100692917984,28.87474431896868,28.5955168983559,32.47328142597171,32.32554205680047,33.637110437244985,34.04105001498284,34.212904209385606,34.861647058384385,35.7192749803312,31.97242726820873,30.04339767133932,29.045221975863665,31.312472098496656,27.967154892314905,31.522826545362946,27.693878796168054,29.307600343547,27.04410063986534,27.13100363203355,23.51653505181195,23.80463503880462,20.687181797039017,25.64387317221124,25.83441360808872,30.64890712315196,29.550954463316952,32.50146762472308,31.384624007750798,33.03618345227077,35.64581252356532,33.45570379925978,37.789167943472634,37.37441294504447,35.46316997841357,34.31340967071995,30.643082530988842,27.09158925354591,23.568926750797253,21.064441605378075,17.16263763543785,15.403720291290657,14.679636985119009,13.54988179802642,13.298221130185338,13.57697532637103,10.431844960389734,11.305421573765114,11.067358319919386,14.026356848273652,17.218256071973723,20.517154099523406,25.27311386973438,26.443082449592907,30.13621242171053,32.48529865231359,33.858755232906844,37.89937842624014,36.29661810823456,36.16659043011179,31.97112416559121,27.709428818575343,28.52058359731216,23.832955644613055,20.081872882181262,20.03683454347058,17.905322582205205,19.932978902925903,18.141229957290918,18.755007112890798,21.66525799850298,20.88626566123948,19.725173397511657,21.306909096978767,24.19259704893602,23.4930198012542,27.956780524725367,27.525532207603398,32.632955902086294,33.07436734034035,30.835384626480394,30.533487888861004,26.92713407289646,29.228742644497718,26.372847217752668,28.75373407755178,26.616388844413777,25.104802105580983,23.352062098612492,26.545326938051087,28.7791905427888,26.506780307401037,30.888517374107735,32.33491168034423,32.22751870795916,28.10198183682707,29.13649910575021,25.92993687576552,28.649022480839353,29.643036916622492,29.810681392204863,31.943026326616888,28.87552280686115,34.43987382289967,32.87547743985738,35.41028600529958,33.44000201540812,33.14509161949077,37.305228790464284,39.4808406716247,36.53205632204482,38.60932992212042,36.20294613501628,39.01881860763039,33.713519150835495,35.62981774822683,34.961240865578056,35.72021802570707,38.082119497844104,37.355430326486605,38.981971969404135,40.719383311327036,37.314726449997224,40.15587561483717,39.611491662008554,38.04290830464137,42.48146396353052,40.98004096907787,37.06286112479677,39.68210344994181,42.89192228652191,39.096381753302836,36.85503441639976,41.69545807123682,43.37772691270904,38.290660411074406,40.09202239957433,43.425953314320346,40.546652985355735,38.29460033262516,42.702450647341344,41.86770556982423,47.1895560941498,46.31445068708762,46.07100128304496,49.49312712493908,53.40978219346196,58.08204505620319,58.14842158596068,57.0618398224243,55.33790214416888,56.62748612331584,52.94741322269426,56.391954777309124,56.514003852114506,50.19776527957322,51.395351014950094,54.911433179939024,51.461610252438916,48.20946510345064,49.94148973806776,51.201605330030276,47.673984105582356,43.98184802706936,43.25280822880823,43.44343861110218,47.09459652138175,47.77307720031444,48.66028290164574,51.88936686107668,47.9015323424183,45.15592957714525,48.693368847547276,48.05590333573692,43.124528737087836,44.16674891569279,46.51224426690299,44.36506461834734,42.625703410276714,47.72793647279321,47.96843047708355,44.15156760834943,46.529585249893906,50.40999420657825,49.37629539667379,51.2361009486653,49.095619250565484,52.726880686924424,52.69668981564056,46.99750267568531,49.18411253869852,51.69103810181845,49.08399642838978,46.17684357760667,51.838658352355274,51.816640834535924,46.37722033926496,47.00251566113314,52.238570838353354,51.13204877371349,47.115644903834294,43.03858402779573,46.87783624933576,43.28939916455437,45.34249660022764,39.96979436814843,39.59716113183374,35.80541302323575,35.19461600304853,35.62282592582983,37.90032762331795,36.946014104774314,38.80847686855392,33.69967172868062,34.958048078900546,30.150662510889838,32.30970909300068,34.78236994437262,38.00532713040324,35.46672866158974,32.13719437464481,35.48870923219503,36.53095356703801,31.002448564051118,31.516202624897826,36.40343431559325,36.789731821568786,35.3441907313131,35.34590314482034,35.45674507624049],[32.86193603035115,31.739479434773582,31.806347849059506,26.38940291585342,27.004481464386185,24.856492952174257,22.246495846381013,23.941367469027018,19.805489110543185,16.447114203328052,16.00214321988375,20.135110749705817,18.421515688747256,13.568506754891347,16.195237829340222,18.996346702011603,16.838542460722508,17.923290691506242,17.655483758453187,22.119125561967255,23.607272166708725,28.226734230158932,27.43547226429023,27.184507064317852,26.10467978896556,21.68276825963407,22.14364135220708,19.50283388171566,20.45829949468246,22.251481510807352,21.37748997149581,24.888661291882972,27.13237628568067,28.78450948276306,27.765431626446766,25.075604342640432,27.235691538825314,26.124326677173457,26.67036013796972,32.76488448853601,29.03072442997032,27.041276816810015,31.373547393702943,31.47999728621457,31.713029184733674,31.319549740547146,34.83944151423017,35.176226220025015,32.91452771168295,37.416311250509565,39.09552006424059,40.80632038787531,40.81605113138842,36.06098668662471,39.98831712527684,41.55103038115502,37.02017042469825,35.864798934056076,40.23757698533308,39.997990167883835,34.68312790122585,34.97126335981212,33.03637615267341,32.783583436412215,31.457290268400413,29.028143124822485,23.851140352020824,21.813688350642998,17.404559426082848,15.618979119830797,13.314998656079345,13.966714701274501,17.41392246236825,20.46437808963861,22.395975932596382,28.413468450741455,28.711012204360554,32.15185432955614,32.45662061136549,34.31277605979979,34.57277839721811,35.30672192097389,35.563763144701916,36.93552553402532,33.49776096172051,31.033139604289115,30.050652433455816,31.567001653312435,28.30601757231589,31.046250995658067,27.04257669957747,28.255371820955162,25.571615906537026,25.344657861700092,21.667752700946497,21.277765038016774,18.121316092843607,23.57645363039115,23.79697257877878,28.44133354877996,28.156453398185985,31.36499718640436,30.862290553285803,32.72140974283292,36.067829774123844,33.81777164669187,38.22170200925503,38.209386445363386,36.10288035604448,34.53583366491214,30.787167700816127,27.52012751643954,23.52056106724963,21.798779838128354,17.54657587117298,16.790556430610017,16.1814985149164,16.233368142291322,15.661914620913112,14.593688129809957,11.639708895917725,11.75313646612408,12.7304961856546,14.951402255255605,17.42202452321117,21.600650755899522,25.549103321902734,27.34266930974626,31.09556677731649,33.54746205201276,35.34453672834503,39.333448867987926,38.15757759350392,37.5960856830172,33.83637858249299,29.403675303966242,30.461816328011928,25.985466833307587,22.521187214370375,22.511385098046155,21.299894544701463,23.437571675092684,21.05821545545978,21.25365428283219,23.884668840616254,22.286090264512037,21.109665709574724,21.79803879343207,24.438467440801794,23.013362965595498,27.28260134821545,26.02627055376771,31.05154050101019,30.76924998056402,28.48557042051215,28.767346461412203,25.522185549663295,28.352078726488003,25.797435160105206,28.84374051821263,27.606663101289648,26.15420252952457,25.299383314249145,28.43188284322892,31.225942684778104,29.49075834087266,33.66273414415124,35.52482972606209,35.16796889615793,30.998317691034714,31.66312782738808,28.292001973504586,30.684711543431703,31.22729840092894,30.966191292652553,32.55990885539132,29.11266046068023,34.70402465147353,33.80084708881491,36.3427889328894,35.04202559153016,34.22977881188124,38.84842999739173,41.313716500164496,38.53485800293303,40.7648985202093,38.29220478996768,41.5175162650706,36.43514258018122,38.43003494929398,37.7662511885454,38.16694303354796,40.63192584480106,39.76489708583702,41.24376812430284,42.9009677799308,39.26584843107528,41.77846359942448,40.984285430119016,38.99213938548362,43.261834353264454,41.31962319455027,37.51107020514939,40.33530734480772,43.183203256488675,39.07905134711465,37.27202589381237,41.95957817127663,43.09257988782519,37.98889882362674,39.981526601389696,43.0568533015771,39.796158081867965,37.802606560029474,42.348859166492694,41.90172634320675,46.954717799146216,46.846657721543174,46.45858186974254,49.640176440411864,53.81999039475775,58.334993213250335,58.581029833683466,57.3347426305345,55.80996412025092,57.11899053426913,53.431964142856174,57.15885818260607,57.366925595780046,51.06287384557524,52.37145755996824,56.17467404758184,52.77528555124263,49.54137332966889,51.50713546234256,52.95312650824064,49.31862641707722,45.79068717630887,44.57902884725473,44.5708556616276,48.084617480443676,48.34339008063406,49.01096473121323,51.899257457278374,47.83743499197261,45.34795888666501,48.54156812387834,47.565711873651566,42.732322622927086,43.880828071006086,45.79116466904176,43.41426834918112,41.93345214744188,47.05037619128611,46.9220754616262,42.999432770167395,45.76214399911115,49.66059558673683,48.96146994088176,50.943317514821494,48.985698889247146,52.840068359285404,52.72092799218651,47.13700890466291,49.61106431787917,52.2142688784868,49.575445282327316,46.96932879868015,52.786472611473954,52.76827389347322,47.39317832215235,48.306964379508855,53.58782510656572,52.46037112556143,48.48168900947279,44.258461143924876,48.32017894509533,44.631118648421875,46.232586678927234,40.78087773816351,40.20341819514382,36.05375991743056,35.87833464585761,36.625164796253664,39.26227779049383,38.40996375550946,39.930833085903245,34.678407978761754,35.99425643799097,30.971474061619617,32.494151860331215,34.663207719753856,37.61692713132847,34.66044795227224,31.658629268448298,34.87670883547889,35.3945359543469,29.805054682417914,30.586498498629044,35.237484584807056,35.12889472581069,33.47311079271874,33.19665359121047,33.33129405219162],[30.164862054575586,29.35692501788872,30.03633253011162,24.542794941394074,26.154668284173102,23.694856286821135,21.766298079936305,23.831009946346633,19.54518999681763,17.105372518208902,16.926711624430162,21.02832430121145,20.179544667837256,15.328479106594848,18.600947849533426,21.566636763298707,19.773260347493206,21.539013240870517,21.78573768265554,26.1066730564718,27.863749721535648,32.465495183454735,31.77203834063573,31.423989917882093,30.187750159622173,25.73360645392796,25.846180089414588,22.917101597576327,23.81202540377789,25.137239891589477,24.61386363231912,27.5485656154712,29.823828189149754,31.986381939057154,30.986930175339154,28.563160958087217,30.27941140194579,29.613090551308826,30.068377089365764,36.209869391246926,32.53797537580211,30.950904809016958,35.34642820093572,35.36063834292377,35.65713992126218,35.034484688459095,38.603013644137775,39.00611325893746,36.45733183713925,40.86955097267461,42.76759485870578,44.34106683946906,44.520830336513946,39.6887136418906,43.69493595623981,45.495723701190926,41.03570941950432,39.80760760008548,44.274107942544404,44.17911867649045,38.90280982889872,39.23736980198342,37.191915443667526,37.143882218522286,35.80974976750478,33.215757292195185,28.165909268633225,25.895238101282935,21.670148616803324,19.5161531354726,17.455560190979778,18.020214689868986,21.361665712387218,24.718620111033736,26.36407871829565,32.455724558503675,32.76651218028903,36.03246151742642,36.31955003115207,38.22575385136238,38.14930167116558,38.81222538034361,38.64408885524916,39.965166340412374,36.564152307652854,34.191035899424676,33.636210260131634,34.91745022543095,32.05443934556151,34.61355964133644,30.711540955899306,31.954152406763086,28.980903292148643,28.352337596549628,24.429226110892102,23.72297371320114,20.25648414070623,25.681023349943,25.399329172007512,29.4764380875209,30.062592354444114,32.745057165882166,32.931055216863726,34.229670727583105,37.849504899898314,35.07686604550301,39.28108804208993,39.13988395719388,36.566183958196866,35.14152608638727,31.055541559065684,28.407162862959616,24.126961657011808,22.916415145391472,19.198678825841064,18.664611271344018,18.952183237530953,19.07414065614744,19.516705725395408,18.23565388041356,15.04072400882471,14.28672044203682,14.489612161171078,16.001347514784015,17.7222198861024,22.196436622932694,25.487949613402776,27.872290115810703,31.614688150779894,34.625935976687956,36.041160841156106,40.22416138723556,39.43245951063062,39.09487187457637,35.218161226601346,30.680447626032194,31.107027912481154,27.039503202653624,23.689585039566563,24.384824705642398,23.483509178411637,26.279101881770483,24.208586100499062,23.992150654058932,26.927557055515518,25.207811892507326,23.584882428039762,23.905551373969892,26.051033589471196,24.030099599279932,27.927920776175444,26.321182158825927,31.405498876927,30.472142118983317,28.785224672217833,29.606937643927974,26.698436458350443,29.498330668628352,27.60125624448588,30.367285220159733,29.489872438315764,28.75649460558223,27.714976342972534,31.234896880511414,33.71892965738772,31.646127905498787,35.60815408177336,37.394565393495135,36.57377442876421,32.40680370531142,33.11232331520275,29.99809681720256,32.79899657303125,33.47901320876763,33.41018344055487,34.8453596029019,31.57624346920177,37.26154624679304,36.54174525696533,38.83708316472668,37.509760919564414,36.11153597784915,40.83784496803035,43.37895287890853,40.92589902931725,43.4792470624369,41.350716548570034,44.539426573573934,39.60077162761261,41.214313833544516,40.25051035902018,40.39907289014073,42.598340718145415,41.410230115856315,42.60412477834851,43.90173055758494,39.955834277718075,42.27334367682193,41.00857397421632,39.08270337484426,43.01718201132388,41.045094915629605,37.18957057288227,39.64909443773357,42.38582091489688,38.12698702853295,36.05481130147465,40.65565184731864,41.764072526846306,36.34405962303483,38.13954848185435,41.13174104729169,37.778850062191836,35.53453436186958,39.9873724013053,39.75546356490904,44.797062375945096,44.93152511467737,44.80296983290642,47.91230873903576,52.35283931723893,56.63449831775558,57.201142614245114,56.23863121987277,55.00940983838946,56.58595435444827,53.14221360100427,57.023940932030285,56.931237072799675,50.65854146192741,52.338168104503005,56.089879898374996,52.478419047560756,49.47094230937118,51.76483257286986,52.8898791191804,49.032798671604695,46.04745781393796,44.41567895215176,44.89387102900361,48.32678227487845,48.23644889570904,49.13387070072804,51.81563426273761,47.98758855059218,45.32558234920487,48.09436068000451,47.23966262306958,42.41934106051823,43.16694054039552,44.879106281414245,42.40216642146434,40.709728374816116,45.76197352049695,45.47288078151225,41.305258277548965,44.01947127769882,47.98031788456661,47.40446903760858,49.70303407318316,48.0810400494544,51.998465270305665,51.468063212658464,45.933964094258705,48.80248092874913,51.15179659353193,48.319495966333754,46.08873515977652,51.98374590962552,51.58297063711959,46.23012190215419,47.58768971644089,52.736103497021396,51.27650549019692,47.28583056939977,42.87488513324817,46.817799314702874,42.88740622718988,44.27706937856391,38.819280190021566,38.50564069260562,34.19694735809227,33.89519769080482,35.04634966682922,37.84542839378527,37.4010744676616,39.023772258405415,33.998302361064205,35.806921805946644,30.787242615604555,31.724187784581755,34.31381551936102,37.01128711753484,34.22118685992111,31.01390691871343,33.685491490933266,34.19637419855193,28.823700441427977,28.951798099133722,33.436622104626096,33.35605914345586,31.75764644892898,31.5541623485243,31.999540131067345],[26.439997368120682,25.825321628975704,26.7231506161328,21.498553233119033,23.46285314320352,20.291402323962753,18.67744274970916,20.631054984594957,16.225893638584324,14.552379873436282,14.463383641026063,18.372869292264184,18.328454439551987,13.730041480141828,17.418147225220878,20.40604222776568,19.188709497149777,21.68486891442,22.914608576413585,26.860312042059682,29.194082402287872,33.75914023858926,33.49643879602871,33.347987604304535,31.646409504202726,27.13152437534639,26.593894955867444,23.195432866446193,23.64943907720317,24.27120036288185,24.166466151128212,26.318322218137272,28.653296354092305,31.389443201061,30.347133659322704,28.326065327383777,29.478225660011844,29.56612330210314,30.125259883792175,36.316973123392096,33.05870971587743,31.775569141378448,36.22296923032813,36.43120620789429,37.16410615513443,36.55948217231971,40.22403389209655,40.26955520775454,37.4189354160284,41.76153425695837,43.58513519376014,44.87256011266576,45.061799582281466,40.11329210689417,43.93950766256161,46.1854244303066,41.938129484811064,40.340356513709686,44.89874926083367,45.2620639870346,40.010736332753176,40.29513702515417,37.98232068129713,38.51881161591999,37.19301155878923,34.159422907892306,29.477745892194406,26.68752636480912,22.98236169262469,20.26047309289123,18.785911820970725,19.795732517247455,22.501449613889232,26.237442760822912,27.095391188724015,33.328554580548676,33.41841310942695,36.376577000628835,36.54630148638837,38.53654041942571,37.94261316040034,38.64463401727112,37.89577225591658,39.32289573476381,36.13545454069933,33.678292476169844,33.617097089725746,34.42420077660419,32.15099384263132,34.4205699498233,30.778596252242707,32.274304932930406,28.942565474416202,27.764589939675524,23.541762479755654,22.75836573531156,18.946719700069945,24.027850647156246,23.231642951150274,26.772251647959862,28.036639558048275,30.252907624321818,31.065599638994946,31.963562487271787,35.94747421686173,32.87377031483025,36.93808645571873,36.92901997488778,34.09743079884356,32.54695382169763,28.356325025414826,26.180779332233094,21.673245402987003,21.156234127972375,17.77712706629399,17.924928407838916,18.847129049930096,19.694216897596448,20.87739716471787,18.799630684548607,15.670731160839917,13.966231572513951,14.27076977631539,14.805844300224548,15.59947127212769,20.455882340915455,22.882217479519404,25.767101013660575,29.443216521458808,32.67887552357507,34.17551908201899,38.32662896618716,37.979953532422115,37.48244768670566,33.888041780692745,29.29335330694546,29.665782871017257,26.008604823502317,23.064537273512684,24.02658661806006,24.074600387397737,27.264346684965087,24.99133780649,24.171014135410864,27.061935466924155,24.868789997276455,22.950481110267763,22.596556882189,24.226949071970683,21.63514682390011,25.14537742819215,23.17242568494889,28.201691992256144,26.881333092816508,25.564469986057347,26.725418989336006,24.134475954118003,26.936824699536995,25.621143264806683,28.310763089880187,28.060004913876362,27.88671330450515,27.193844904513686,30.86648040679412,33.41863381370047,31.60549609497227,35.2009440748943,37.28813816544991,36.074605906535325,31.954107407047857,32.34129619693946,29.285702389919596,32.00774292609797,32.494884468112886,32.35281162010081,33.42270352933819,30.23940056974047,35.916128693911865,35.57495865487642,37.63307699976228,36.6117947807744,34.58320339251522,39.53952436811508,42.261034861806735,40.15837200886817,42.998053153026724,41.14098415859274,44.520477191017335,39.92864341659571,41.25597583863871,40.10240319031425,39.82536604283225,41.92342574037142,40.48798081772131,41.431283037003,42.51941334711884,38.35558471857497,40.343304927323445,38.805795383589384,36.63782028794381,40.33831719443339,38.12338447597584,34.36544672277103,36.85416990596374,39.31959620666614,34.90618335309084,33.11087746975958,37.54928906825467,38.32098321361321,32.92965994297126,34.83362747018523,37.64545000156303,34.11213358953252,32.06899078937281,36.58691992153937,36.57921499983896,41.39645018909947,42.03421266441292,41.75565096946496,44.68203025415901,49.25117213958568,53.42033674576269,54.0821672957029,53.03199113048412,51.95468800671398,53.572316803734715,50.1945046103875,54.24833710137892,54.149452836851964,47.9323347820468,49.74211126402182,53.64351669259285,50.05863918301245,47.125916772878995,49.634498740630555,50.831439975217044,46.89795768959334,44.1547454445878,42.10308781224525,42.55305154470368,45.84530233158669,45.41600305546065,46.259095984521636,48.697989533315116,44.944017428105184,42.35831020696191,44.822900323589984,43.86866887784788,39.12597714405385,39.805587322313336,41.27716999281057,38.70747628634543,37.089269629184315,42.10818276621974,41.653071806996,37.44089263796895,40.30067188434612,44.25288492802147,43.844131050824004,46.21178910399823,44.73359012799987,48.75269309463376,48.1340741349465,42.70626683906835,45.760129188033055,48.1316839569308,45.29500082158182,43.30029812488996,49.258161613369225,48.86046596302911,43.60424100616751,45.170297166246925,50.308996835460064,48.86440077182005,44.94556662872462,40.48294395202502,44.61409479873375,40.705026247900015,41.70558118220681,36.247891609038554,35.700922877239734,31.19883400167956,31.29723932831307,32.61690270049699,35.66889597714954,35.26547455425893,36.56438239216657,31.52329774801653,33.40728763095806,28.34437515135359,28.74292134355216,31.219622144139894,33.68563800995004,30.80707914098996,27.715913136271208,30.17067564059033,30.452712388238,25.17039218457952,25.288434764962055,29.60508038466167,29.3550085018927,27.726261254126907,27.502342734777912,28.05916213553432],[25.064283699668245,24.425485690812582,25.64415031283457,20.119169886942547,22.809833614722418,20.387928125104164,19.414485792436782,22.13152629134685,18.197236982253422,16.99112420240454,17.657983955015588,21.573532739950814,21.282829463125875,16.920168598662016,21.12389195531748,23.882920876789438,22.187689576811092,24.90668527139526,25.75816723241437,29.702209828267932,31.945974358339946,36.40643548766641,35.9860991311531,35.445738753670405,33.77495530877076,29.33639097303793,28.775915153411354,25.513244141418298,26.51370405206325,27.33908479102757,27.903369883570257,29.80662688907369,32.44433591444284,35.22091760813966,33.879231132157045,31.64618066394979,32.555889242007744,32.27095917205201,32.42680342825166,38.4875472832264,34.94228027441038,34.16707920330574,38.61808417259387,38.42434254347622,38.92348644766825,37.94110984296519,41.58852780361059,41.97356686413356,38.90543561468004,43.10284865091051,45.33033199915162,46.62123082629362,47.1252420207618,42.21018784043325,46.405444360054496,48.61533747921494,44.33215061557128,43.07944041473715,47.725605962316244,47.85862300148677,42.7625829282009,43.43138566814041,41.34611808522307,41.77373608492693,40.15209676596051,37.21625939934076,32.65213681034404,30.08168361648893,26.249121887587144,23.935541816188437,22.282156374734697,23.37084147422379,26.30393631953906,29.763721450896785,30.835727357544187,37.10420709222635,36.94011719142635,40.09597002881983,40.01964857744541,41.72898506754706,41.043899888360706,41.348491178287404,40.57540087782782,41.622802391831044,38.255253113419656,36.215514050569915,36.41185691386154,37.55250253967356,35.42375454562842,38.089672706395945,34.54557779815348,36.24429699202394,32.99327843751705,31.830476694800353,27.511284551741305,26.930096786127805,23.00687651615791,27.833194670602097,26.742925813341053,30.010236802663115,31.30949986371542,32.968454817231354,33.85663968358269,34.178167366248964,37.8383856087615,34.37383850512106,38.1913045721402,37.75170550927157,34.6339644730047,33.56033569172615,29.12619460631034,27.325954132552848,22.967357907905754,22.3103473637037,19.652330601598763,19.281335655761897,20.783200970168156,20.97493506806482,22.953204655952412,21.481260206179005,18.080802422155624,16.341479656305317,15.386568747106326,15.814479480871846,16.462978126428343,20.8490834866173,23.248955550743766,26.200917389177494,29.799342414790647,33.48053612664701,34.27268434958973,38.64026302797952,38.335685675458436,38.37516891002298,34.359452472065406,29.818764981695196,29.374480310525165,25.995464159012123,22.987477082144597,24.587186268241915,24.30743551461147,27.939200649354948,26.304233461058818,25.441741207477715,28.722468780220957,26.97291866086438,24.749113872480915,24.726094946361158,26.14454913760273,23.624852704668726,26.94427767056011,25.341008312686093,30.430153486218718,29.129881354601302,28.366418684989597,29.503673821311494,26.922770318986775,29.296723334809418,28.268790004622947,30.25567552914622,29.64789732507329,29.994216230268375,28.55220572068062,32.55423471993479,34.46254380708954,31.993207239383054,35.52117477769626,37.22024942102059,35.7512211571484,31.697813525795354,32.39387657018885,29.7234328863026,33.02821955885405,33.949846262774315,34.26220269610346,35.583177982462985,32.79525720763995,38.52166909349908,37.86366242396178,39.72770240255392,38.21703879626226,36.079206948559246,40.77755992688832,43.34412201016609,41.39933246165403,44.39503386390488,42.860031258794436,45.916115372565876,41.291655005844355,42.25597869755465,40.84638682681259,40.61055087760687,42.384785711637214,40.765661065498186,41.54871563542378,42.344653584160426,38.06445863314587,40.10948106704338,38.290850462795014,36.541454519428974,40.02552000752508,38.14879049187253,34.2598753774499,36.1811410142265,38.83185799250379,34.52182013920439,32.050874789739716,36.52845339735597,37.75396607709437,32.023349665704735,33.52692527200027,36.48089389147338,33.18524642607587,30.599319932438572,34.89146613726896,34.783851538801365,39.84723231631101,40.082521428700986,40.23282566982302,43.29321428984256,47.931029289633685,51.98618635454711,52.84361910933867,52.23427080999182,51.30348008706617,53.18378138510027,50.065022652577426,54.0416176633944,53.564109144607514,47.373431748082695,49.47418709339057,53.08581321954101,49.24204283171006,46.533720615852395,49.18619437375363,49.89861082069505,45.822076103366484,43.51850000155517,41.42334617649163,42.537943315252356,45.8494989855917,45.40985591352427,46.66040176483165,49.16726297881321,45.707680901419984,42.75089021983472,45.06443249466767,44.51153092157537,39.714824579547205,39.89463390117699,41.524066212854606,39.052614779964784,36.99295764783583,41.91982112047036,41.61052746598925,37.236280177158655,39.6981925726613,43.699523054877616,43.1364081060505,45.74191845564511,44.46671919042813,48.361157786649,47.37936041609845,41.906884614049886,45.14207881365776,47.1582548882733,44.1354234537736,42.29522137612358,48.207266102521615,47.38909387761376,42.09636506104935,43.90985919860161,48.86622847752185,47.07127344494779,43.10061909620821,38.54042372340032,42.347272674982015,38.229372172263346,39.384818631158865,33.96544648158295,33.917393005490084,29.534945738607117,29.077662668712428,30.610783039463076,33.54827784879297,33.53393412105484,35.24565256656286,30.581246995553794,32.95515584750609,28.08967770563613,28.392219857919,31.571206833824984,33.99129127819643,31.651781586816202,28.084245765763807,30.0589309800529,30.7994685016493,25.835761139324436,24.985925822234393,29.32175481610051,29.555939994496313,28.19021284718616,28.29468998716999,29.148978663827577],[23.102362168618154,23.04572553113161,24.785909934267426,19.89239664812315,23.043743732435896,19.299865902812193,18.732542732471316,20.81497397069724,16.575863677416496,16.37005316758869,16.508822524170224,19.860827085603955,20.88938477046009,16.842309629759225,20.685325183422133,23.610360472535348,22.908581066132463,25.881725979404482,27.60884724527628,31.319976826821986,33.92355834863815,38.433171421953105,38.34436650610892,38.2007197524793,36.305831605287494,31.804152968511872,30.914271076845747,27.301131835373294,27.562007673296225,27.62985249158901,27.841037330005825,29.283385296503607,31.551172079855256,34.77559415874086,33.78729175673272,32.14123726861098,32.79585307234982,33.4478055766839,33.982700797605226,40.11746903093025,37.08772384451988,36.153611826382196,40.60339082673706,40.81969177111847,41.7154433134088,40.9833468538526,44.67878402607396,44.65724123630636,41.56055313120843,45.78048525165997,47.70190420730484,48.7928674182846,49.08884592323133,44.09718662787087,47.866687339536966,50.407380962842275,46.30771844041054,44.545807553212775,49.15435910463319,49.76558662940631,44.57266995199841,44.848568991889856,42.38736312487432,43.22018874135784,41.920967907002684,38.6845102516703,34.20734779703126,31.17922076443635,27.753389765538028,24.751660773846275,23.553861402219344,24.546461195609883,27.021814037694238,30.973912042598386,31.46404030520412,37.68591212889181,37.75364574361083,40.45333856076812,40.597103306960086,42.64426304219511,41.66575109071681,42.342859041544,41.09820896647503,42.51821973699089,39.49375765925565,37.10367476820705,37.49097764577756,37.94654608388544,36.16439345531287,38.15102173743025,34.71311132454267,36.24849399802703,32.67335748157386,31.081209736189443,26.75692245427403,25.72637552592942,21.823239368500996,26.486318900937025,25.156988291923422,27.80846245743442,30.06524182105029,31.59503670308269,33.21953519589231,33.488592683779544,37.76024749800658,34.21688072452765,37.94148491945585,37.89346498447727,34.60624928607864,33.158488126624064,28.764134919843162,27.4572221534398,22.848986875154964,23.112511428751834,20.513001041698423,21.050391408528284,22.657934122184308,23.702140042812154,25.543758929224225,23.237260411940913,20.148637987387733,17.927749057720327,17.807492306885322,17.50120191907896,17.222349685741012,22.05080188159981,23.312680481336596,26.82117607194003,30.29920333584889,34.005099883954905,35.17742437089636,39.37425346577558,39.55481179304015,39.177302967187345,35.70097790969789,31.140759534939978,30.960114660797554,27.957207393454432,25.405356922866446,26.931462889900136,27.496098745815125,31.126758497275276,29.042616167413396,27.819878085649457,30.799237818299336,28.438845902953968,26.21174100781363,25.37475631775046,26.351400489446995,23.174440916215463,25.973183617582638,23.576022438233313,28.372395286213912,26.239752198559145,25.749409615938795,27.543157416424354,25.53624832112141,28.201438924809892,27.73320430362413,30.081236808158884,30.396769052484093,30.958479183048905,30.295230690936364,34.180105478389486,36.485891071900916,34.56853270000047,37.79072830082503,39.889976255411035,38.19227781401006,34.19786602230502,34.48155883655258,31.738166089064112,34.652307297952625,35.14967502150251,35.1161281328467,35.887985143147816,32.946010917199665,38.54220991501672,38.505582958763,40.2501737880953,39.36272844967725,36.68051718579996,41.711820621549144,44.51959641162963,42.839992318492776,45.99004938395908,44.50527993258138,47.89045420786345,43.57863369093841,44.520051976260376,43.0942608491508,42.470539615997446,44.291586242442705,42.5339586997145,43.1280357456661,43.80862917420464,39.368667915462595,40.9934643409558,38.93865606273898,36.759764424611994,39.95103326497748,37.62371662458888,33.965955332398096,36.05940144405314,38.2154085162941,33.654983059446565,31.795567229681513,35.950654480200775,36.483680656998416,30.88766823584124,32.60463105087492,35.16370693411089,31.472839791895712,29.315110240916336,33.69174895996957,34.06239871619641,38.65949513154441,39.8449085167744,39.75684606261206,42.463776226654545,47.31814176383653,51.15208653019165,52.17813497879662,51.367076142040474,50.669304017972664,52.543963785311895,49.46659071313929,53.70653953532402,53.328157577277594,47.2454433024554,49.43914640152677,53.32205933943494,49.59928333457983,46.9520203240384,49.824991636992316,50.75244827035824,46.6334311480188,44.541983976595645,41.943941048274986,42.812210123147196,45.90441864587345,44.99228305533834,46.00100028249722,48.085588272719846,44.637342599110724,41.9838503863804,43.84267547092068,42.95634461764607,38.3571483118605,38.60295165068727,39.70840535948598,37.02424263314597,35.27186043147493,40.12006397643813,39.3994286017162,34.964377156564744,37.827231834845314,41.78831620865582,41.616960778075715,44.31722623706174,43.27381759246027,47.35979778177394,46.29595540745527,41.050776237447906,44.5514400338947,46.65689953685281,43.66389515114194,42.1969343516801,48.177454337312426,47.416875370025025,42.30566582958285,44.385364034652994,49.32155940559923,47.5821493811465,43.74186868497795,39.140061661480594,43.17967047972618,39.10282828127219,39.6582161093647,34.2905543630608,33.90274433472215,29.225183166669925,29.419418471832767,31.229571397845096,34.50525605028573,34.5388839919556,35.73916803349221,31.048729886156444,33.383325615682026,28.474905145433404,27.995899686050745,30.73392422142645,32.74487660238811,30.056199621987187,26.945394667356048,28.622119789306215,28.73656130235544,23.927781817280838,23.324240646778687,27.197163650265765,26.85386077802257,25.308259594051354,25.142340760014676,26.113814146773358],[20.172717069180283,19.93104207438618,21.97411638844074,16.781749860696948,20.82743203594997,18.29407437804591,18.606426307431594,21.694143241237803,18.370542590600724,18.632449327686864,19.84792636950645,23.22009903835086,23.65854344203575,20.02207041968512,24.577207058248725,27.101786551061274,25.732089761203763,29.088866342081086,30.503059687593044,34.07043428783787,36.701603554057705,41.02095992889595,40.86976680221261,40.269461856714116,38.2543376322458,33.88085113446238,32.774627406867715,29.280962159816337,30.187129362390458,30.460414651656524,31.762922047644448,32.745724696476195,35.53734361736216,38.830992204455974,37.31374643785752,35.38253343169573,35.59229728044715,35.800613482204895,35.79141653487116,41.692335188179065,38.41259689280649,38.25412122044918,42.6893953496626,42.41600888136019,43.14704134696788,41.94523453548874,45.62045889719356,45.90470686054686,42.45341974372474,46.421847108956946,48.83263588353445,49.83366848161081,50.56238090998812,45.614675218468236,49.83666620958902,52.42842599574575,48.36200906915024,47.001227353592206,51.74304881295734,52.15162885553266,47.21618594552243,48.06142851241445,45.88605497282521,46.749648216496425,44.985165818822864,41.75797305943431,37.60557302043951,34.76479660319619,31.321389041650377,28.80944676289422,27.51357045039192,28.881549976390595,31.462881177639183,35.05521765359685,35.61975212700096,41.95160293918118,41.485898536748806,44.44294736988693,44.13105429858812,45.736324572550956,44.51454806814185,44.59744667930739,43.236883273635144,44.11035562596741,40.89568111608857,39.10107498747542,39.941699231584494,40.81608306922718,39.36602501564315,41.946949988162615,38.73939477143567,40.726156333457936,37.244207212132046,35.622433131187215,31.097629807893323,30.539137458898836,26.409553740768843,30.58753098663151,28.832904544374852,31.16355073527443,33.232424053021674,33.91193960201972,35.55290554963526,34.972859302164174,38.706160455132036,34.65718243816484,37.98527616211776,37.343546360378824,33.71209888806905,32.94685392796716,28.30525802155056,27.541060493741785,23.272642480537563,23.377368897787807,21.84257643890387,21.81360748140885,24.18797232855351,24.59025837366973,27.542669843510836,25.827501276748816,22.486843661337108,20.116803002665815,18.5879465359564,17.96725600133108,17.382487823340092,21.386787160556263,22.462280465044273,25.97880674559515,29.258562949846983,33.502106003173736,33.7302813523019,38.1438813758821,38.432814528665375,38.7477268698043,34.809610685434016,30.40239751476378,29.170438762479574,26.69722807354285,24.26830055403241,26.58165322860937,27.019128477114215,31.191125873127106,29.8576454758518,28.447025894691663,31.834038686832507,29.992322438223077,27.36662709236666,26.896536297941584,27.53016036435722,24.546167761063465,27.043030478516396,25.35747774154408,30.180684173804664,28.39307312422956,28.621160453776938,30.141127155773273,28.074462631510094,30.022929532227558,29.92862105231909,31.21756383308549,31.06647681802583,32.38574080825905,30.808587035610042,35.07852642094038,36.525795204257236,33.88739696796769,36.865117495267384,38.528757183942474,36.43676339999975,32.61801059846617,33.19478688838018,31.010089646641088,34.588515844100314,35.61404709124296,36.184607793906274,37.2615364419692,34.93056750376522,40.54015641320784,40.074131364410405,41.49992509123912,39.9835889322892,37.109103074957716,41.750998670134294,44.34542469816822,42.95516812317552,46.33313990755594,45.35344719439396,48.31908683522734,44.09512315445425,44.47767960336999,42.693002555492235,42.03200558337808,43.390920108941835,41.3669669624606,41.69834236122967,41.95969352571827,37.39238189630495,39.02435572354662,36.6072685015915,34.98806340602475,37.85507360658135,36.01591804376156,32.22515816831294,33.543008238629305,35.938859246499725,31.592068060155295,28.843654105120894,33.02043620859667,34.20710809471273,28.228552421013774,29.396183343712263,32.17365246983848,28.898310103495206,26.0084951891191,30.071144695082083,30.23531450098298,35.171387211840866,35.74995828097029,36.17800203970847,39.071613041959736,43.95142014088557,47.67373951841286,48.89226701428461,48.63467762005265,48.092448764453565,50.284843106294,47.55213937153833,51.64887411026175,50.78784626137969,44.77201787519583,47.31808354301273,50.80343322416116,46.77975322806449,44.43558461408374,47.481246137177706,47.79905385034272,43.52514275805686,42.02553023227318,39.36075697791649,41.07761147737368,44.16425173607733,43.25995562254525,44.813015423041065,47.01255756149338,43.98593276061511,40.83096725890544,42.524078534420966,42.23005221154706,37.57804981054836,37.149038944565916,38.54595687311806,36.07172598344228,33.69707981548281,38.392139878877586,37.97151593398726,33.399779220011574,35.624110465917866,39.62318270249692,39.16879185705762,42.12181600841037,41.300615514704276,45.170442993508935,43.67704456522044,38.38057409609426,42.05158005698992,43.695469298461,40.4924664764647,39.199645900724754,45.08199393807957,43.81809111603945,38.68617702972816,41.05165648664244,45.73789895315672,43.596878136930826,39.71796032917527,35.029898456576475,38.68851073666664,34.402825690529504,35.12535907768758,29.82190488898365,30.023908952795413,25.552189922648676,25.05940614567431,27.11253375890284,30.241967451816695,30.747764037383426,32.41068634171322,28.265484463000604,31.199297779402407,26.647045120734262,26.04389443578299,29.69293648272521,31.65239676844789,29.799113369677794,26.04340398345772,27.08034468775022,27.932678400511,23.64993637015813,21.700820212148024,25.61440840989973,26.10312631962728,25.02837202150014,25.442101839717704,26.76868577500315],[14.92046037178937,15.350467378546133,18.27302646357191,14.115948101986008,19.145730213142542,15.844821712624057,17.381482740063735,20.234158280847847,17.59002218190412,19.338124594250395,20.745324921360126,23.2919858817876,24.658544811397768,21.902288496313115,26.402155962252245,28.663824331518107,27.925746072598855,31.774713230531155,33.96130373565831,37.06576024941337,40.14845270921578,44.33122709619985,44.582071738491884,44.1594258359505,41.74911317196847,37.435802111907755,35.75872740244082,31.987787756936086,32.47031711940305,32.01118497476858,33.78820184863074,33.81633010997171,36.578871515677605,40.380227705274216,38.83041102102853,37.38909670740949,36.925087014184555,37.906922484810174,37.95531678058916,43.68347669530461,40.930170140786856,41.14759415358138,45.521525313621645,45.42013578601417,46.56670247709083,45.380911144377194,49.087069342318124,49.015134422026904,45.2970148882421,49.08193469463723,51.401465844729856,52.054697782332674,52.81942355761231,47.85069299214105,51.821364894024754,54.86607793609227,51.104007240962126,49.40697246871079,54.169719340626905,55.04756223481515,50.23229217338118,51.04629544883722,48.65492201919254,50.08398587864275,48.333096391722776,44.73990332871646,41.03761721187278,37.81483219488729,34.919045703705535,32.059172229605856,31.25553305702326,32.8965218278635,34.935243062252454,38.73652534568266,38.61210919105015,44.916536706911145,44.22462668600819,46.81587702130922,46.359105479776936,47.98160300419005,46.200987917319715,46.26587145187193,44.249490394566315,45.152830148864076,42.274414097894564,40.52028338288106,41.93627792995325,42.29533106242581,41.56804215375733,43.8075636014322,40.99069839907637,43.1950773348371,39.47299398016575,37.35310296893802,32.74259201282265,32.17100817172608,27.987365743553948,31.372938194283808,29.039800119691435,30.325484755663666,33.218978135244434,33.01704579477572,35.48047678351921,34.18454455197347,38.1629690639636,33.73956472831354,36.589883885029806,36.03910757550666,32.04262556358996,31.299783532822033,26.67988068145696,26.958859417579088,22.83458862617615,23.950382248147616,23.29610349854793,23.94454611912766,26.832540802540453,27.821668083551483,31.28275195305716,29.027219265675786,25.952687863784345,23.044063641382174,21.638708543540535,20.061046082011355,18.26909860368347,21.96399760992615,21.384591476616485,25.446332123926446,28.305748665360195,32.8097300208315,32.90768251395365,37.132751876538876,38.1160957340335,38.33567551879968,34.88113487277189,30.671232458646017,29.182981148691066,27.611537580109474,25.94852116575937,28.52711805267563,29.959129718655085,34.35238942765155,32.93265281735796,30.979455068641304,34.17659418507868,31.988780384398225,29.16214605034824,27.99819327546938,27.83137683030485,24.34775245673675,25.864472401741995,23.896054475180538,28.19584096487188,25.850566404020785,27.00197081405428,28.940620353071925,27.55458952012984,29.173792077099638,30.03614549256471,30.89418383147307,31.53604626220372,33.619711170571996,32.411526396920316,36.69270144464864,38.04007609873996,35.72769843975425,38.08635388820336,39.99887477987171,37.413856097097145,33.86637422622544,34.04487487430409,32.16175556009031,35.56323447691213,36.381268804775,36.93238376173362,37.533759653304564,35.53323107301632,40.87554002456653,40.847884351464344,41.86438001248707,40.702637929892674,37.06689982074724,41.76805890512751,44.48522191043924,43.658280182139514,47.33883422070944,46.78959619548897,49.855524126604735,46.15904300120898,46.12603173232031,44.1123331258574,42.92620503312754,44.03223615217885,41.69140772923443,41.60576877351888,41.458824936230556,36.68967279398089,37.73506336433595,34.83845555610042,33.029705658102756,35.25693999890252,33.181087596332155,29.68249465380596,30.710179447969313,32.56566989401936,28.10820906097232,25.681985172322022,29.36009631250636,30.03662341054146,24.084810240024623,25.19545031456772,27.563214027480036,24.071592862814985,21.34351199385041,25.3274926832987,25.986862600386072,30.461496005515905,31.940113585046937,32.27568189417186,34.79526838517055,39.91097615835673,43.30808253755584,44.796048486777146,44.57084041447251,44.39273192059951,46.73867260140502,44.281331252024884,48.580580570979414,47.57593490335272,41.78749211137983,44.6279515148947,48.19460622541188,44.200883248972346,42.13027752366922,45.5242704756011,45.78363589023125,41.427858292359,40.55114286995984,37.22670098001784,39.09936997544547,41.85618904183873,40.37157666479076,41.95268839255139,43.689254991866704,40.99386482133068,37.9127575354045,38.91944151059026,38.62782824817034,34.23950773734396,33.43715912588307,34.383631579409034,31.834097517832753,29.4305797809385,33.88384890498064,33.190975228241804,28.503322358218668,30.771449988028767,34.722675817579706,34.55544020964684,37.73952740009573,37.330948147535345,41.268424981378516,39.448995297025455,34.44426179523082,38.50132216493597,39.98930015411523,36.74601313387037,36.03129008649791,41.88228317119681,40.46183193151269,35.61224351858825,38.431819986117944,42.91653382427178,40.69751803723709,37.022056298316635,32.31754578417139,36.09370628631069,31.876411123887717,31.831853790166534,26.707891678664982,26.677647571252663,22.00491520423988,22.133425870234227,24.612526457418284,28.066508297921544,28.82861837436637,29.97138802603108,26.206979088629833,29.357174498493183,25.12683268579432,23.410489960869995,26.992427477603385,28.342787291747022,26.720356324569767,23.175414570192995,23.3181654799963,23.90480840760293,20.378374271907337,17.750234666517436,20.983344494715812,21.3973303236952,20.528361547730643,21.13022496691827,22.87697147911068],[17.021742664627908,18.257207493391526,21.48029130110873,18.11740725518676,22.837247629404487,18.251654244645273,19.593656214183117,21.43892177520095,18.217953980852627,20.303268200155927,20.80396865792052,22.873759691252324,25.336747936070022,22.538164107078238,26.341450368172083,28.89425938040001,28.982501330020277,32.621527954252535,35.20563976345567,38.3719642375304,41.49075592227248,45.82334538423749,46.15723518279694,46.10742529556,43.77267685127414,39.353318141871426,37.7826561583386,33.862812158186394,33.729984060701916,32.86820019058492,33.749416595156845,33.86583116656396,36.04258655115544,39.994573798042225,39.00181167150733,38.01631107136812,37.743145804782564,39.36545170733498,39.87978702368198,45.772810358469755,43.3134595771508,42.983132969879044,47.36523959441572,47.67716921767168,48.988142778714774,48.137694709102774,51.868622718442474,51.554398934593245,48.05765011991825,52.01282404221732,53.96623981562497,54.630176013750926,55.06341010586816,50.0490426182155,53.594311426890556,56.704819929241786,52.96816784445365,50.860667492279646,55.51313428833378,56.660537706040714,51.63918391951641,51.92937589280365,49.2217709715192,50.71433680214635,49.40940601757841,45.756992582846486,41.82274922628044,38.37458607053038,35.5794523693647,32.21684527270973,31.569180891981464,32.802657310540255,34.69509135806565,38.877033129364825,38.582437088081704,44.73122774455442,44.55997441191677,46.78090350898031,46.75736481029052,48.81598904095473,47.099012549507975,47.70059218089294,45.565800666450876,46.95957283960302,44.339258193519534,42.09371191716328,43.2860361818202,43.10108079933194,42.289325849714224,43.819995135380665,40.895566793287216,42.65175145142822,38.75861473034764,36.48673042479545,32.09544654597301,30.940826747931418,27.039416796461765,30.56724989241432,28.380694584371106,29.332843848738637,33.02105720077825,33.208164827012745,36.12702638467159,35.28110263848783,39.885611280675874,35.71563174340851,38.68251999848568,38.662287019824326,34.765389419379964,33.47339861974884,29.058905973989674,29.346722888469035,24.968213362583704,26.565691800830226,25.3342373005892,26.551378741460486,29.00552851442671,30.513625635813447,33.24599073291547,30.48596989324165,27.62361084398957,24.74220807062023,24.30205681776547,22.799967836739828,20.95676463406796,25.228631330935958,24.28868822708189,28.56159021507841,31.432737613250513,35.644171483542166,36.38490364464172,40.394468006615995,41.551726629914974,41.236158071839924,38.267264997432015,33.98660522741972,33.123018500965635,31.401032818289462,29.759870200248766,31.91165149707761,33.524042640757735,37.63788364689901,35.7098379938163,33.81406042650107,36.71594497199315,34.05469667548494,31.470815220152364,29.821663415037293,29.66079808095642,25.77634378680086,27.099263088149534,24.21581102212325,28.15689455461151,24.843739426614682,25.938321617919208,28.582237016439564,27.703541935380112,29.88197568295622,30.882965928036356,32.519957475546896,33.86460385050593,35.59199436555404,35.176024725993265,39.19771112046015,41.15722637534423,39.37160675963191,41.79472943368267,44.0318403355061,41.582581074412474,37.957888258286616,37.886034475200475,35.691163819386524,38.61561208713395,38.98789799880797,39.05694548608405,39.230307284619954,36.81449055356397,42.04810305207511,42.57531370932634,43.71580376120671,43.189093579383474,39.43111936706626,44.475554130059784,47.404540740238296,46.53390283623395,50.14494221639168,49.32522269430498,52.740301042196215,49.08105800058222,49.36264410730966,47.54182409331451,46.254013712491094,47.6135687816097,45.359314404540264,45.32678208809469,45.32391170627527,40.565387736711145,41.399116573092044,38.55123509248809,36.280889377320825,38.42245090038791,35.85956751261605,32.633347175291945,34.063385956953546,35.42878180949231,30.76886400923765,29.186847487906448,32.51687580599037,32.355855733488575,26.780847664824694,28.203872065380317,30.050951834463387,26.108745708265555,24.100263915891084,28.081208004196025,29.27217188924031,33.09612764052421,35.574105040132764,35.61476429274789,37.72166481430395,42.96567384818878,46.1218603351992,47.729042378737994,47.19961085294974,47.18823900306425,49.41225402944424,46.895680531493916,51.414701554509115,50.654416413066656,44.97727900527046,47.73567175687577,51.60297222680031,47.82304283082265,45.70609028809638,49.144231477438744,49.747662592885,45.455289555740514,44.49105324313666,40.9377840062275,42.307012627826,44.90253975865293,43.095210085574045,44.26574210437424,45.60075190718489,42.77010736641625,40.167493780886936,40.846612237367374,40.033374505071514,35.89431894704854,35.416067894649196,35.73611214814073,32.92286288759622,31.088106957614343,35.432944475183895,34.193535155376466,29.527799997443367,32.401534412630234,36.23881707560248,36.583279042517354,39.76368337003899,39.52370381387218,43.658972846305915,41.90063158584689,37.19179486961575,41.37453220972946,43.05027772354077,39.92823217557326,39.47751037689208,45.33596840903267,44.10119331539217,39.459891242649746,42.350087306462974,46.83826124366473,44.771304770595,41.23950813258554,36.596139095804936,40.52305879922981,36.421681123368586,35.93479453475643,30.96695733433846,30.587825148327536,25.772669923545106,26.524122693307227,29.065760222469194,32.673018828844164,33.328411645893105,34.0198830309146,30.114300885962756,32.95155807734206,28.605014103838844,26.49804877800074,29.29856455416866,30.307508086423397,28.06018347803788,25.262139003219353,25.384528871556416,25.040991182367218,21.571505755202946,19.800204536065404,22.360484632659237,21.755937374733836,20.512309395379297,20.505180057291845,22.256137191279436],[11.005661134092765,12.573615845366382,16.275878527897774,13.989020441924879,19.192914495390063,14.77721226534901,17.266479064370856,19.289131255511837,17.350560770654265,20.40447988457487,21.66509004299548,23.187423254580512,25.58891498033619,23.74036902072997,27.828766365597154,29.82871864407412,29.882059109864578,34.004945876860226,36.94248045835524,39.59029567889786,43.052478863845394,47.101377511266534,47.752706533818106,47.618137960363754,44.886207249869784,40.64715824893737,38.51388691174041,34.52261232627139,34.43278383629979,33.21594125894033,35.16597906457608,34.33039301859922,36.87078351729908,41.10092354850067,39.6725134775199,38.82362740769974,37.80158304883132,39.65349214222746,39.90128537665577,45.4402214502245,43.3094815929081,43.676545134522904,47.941606296664126,48.14139870058444,49.72305479050445,48.69273962056477,52.406693699743805,51.9058168924405,48.06390160550919,51.71440460657231,53.77732254689077,54.10637615287093,54.773034136439,49.81737032083794,53.36848215521687,56.82697364866382,53.39015120449232,51.26636266762677,55.96884320564296,57.36405967107848,52.640913120264095,53.27163821570938,50.618714524502295,52.58914936214261,50.98051231151142,47.0643889162767,43.770973506708735,40.1863524495292,37.86909645757442,34.64096817954242,34.33564023931566,36.13254452952477,37.59600770401607,41.599067909599654,40.79144063521139,46.94819073272288,46.15832690550711,48.2883193991987,47.79921885018595,49.52984817494829,47.26898829734293,47.4757554756613,44.85018204445193,45.92973629107031,43.48924048239739,41.63251340130913,43.48003814320739,43.20285004741811,43.132993888778955,44.84854893007,42.42044358131337,44.710004944977015,40.791937314575904,38.21720768987684,33.678361064314124,33.01933780370597,28.97012325464514,31.515468653800216,28.743678910417227,28.911892075116583,32.677788480275204,31.747000022433387,35.046317836306365,33.25586203675137,37.587110115045206,33.01852153129958,35.418429209817106,35.190840679529444,31.011198903092996,30.060620239187475,25.698815626194254,26.920600979615713,23.019939935847937,25.163617797511755,25.0902724230794,26.482388929141855,29.54742150134998,31.192281239655472,34.77209339125641,31.941008623353028,29.23635756425472,25.981797555055564,25.044332290242185,22.804599728617244,20.128053452453077,23.562414486850727,21.401475825898434,25.838347971965224,28.220261933837083,32.67763044626776,32.97681992056612,36.82809372252246,38.482948935806434,38.35561613247059,35.630579929174445,31.669903997014387,30.335562555126923,29.504158888292363,28.559964952102742,31.07028839003077,33.40261443933432,37.77536053767133,36.09047979147689,33.72738500067636,36.573516443213926,33.960227215677335,31.12046761791843,29.218174879367503,28.345007053378254,24.422720482142665,24.88910009948768,22.4549217739395,25.961935996014013,22.906026651660717,24.92787676749337,27.361919571771697,26.81019288024138,28.213768628354153,29.980643585316802,30.664414538955384,32.2618131126601,34.84115741427393,34.28566456970909,38.379717306419394,39.86495101999434,38.13041283643648,39.93367920273735,42.20609768737785,39.31648003022391,36.03299225587809,35.724259525630266,33.98850077147229,36.93300321416673,37.36131737955933,37.69700486409595,37.70319574771037,35.9104943459784,40.86565581419388,41.419990792889834,42.091535569410254,41.50832702828631,37.211797277804706,42.021032258327956,44.89810685531153,44.565876580394125,48.436165452168034,48.17170718182529,51.43479070343438,48.27647082531593,48.00286234203032,45.90273022683345,44.22078119831188,45.21051917802166,42.67267159892476,42.25490395005467,41.84264344058083,36.99895404005418,37.403271042603656,34.19728984117352,31.996386906388924,33.59262869913349,31.0843343659529,28.06576358727901,29.068093061689897,30.144291802863833,25.56589570827734,24.02543657326266,26.982821748191697,26.70767946546098,21.138606518153182,22.4319569601301,24.102574104306075,20.18811266199049,18.195136663918486,22.120439131642936,23.48298390559249,27.09112654733059,29.91549034964099,29.865728266721842,31.80380697789684,37.10040998480866,40.14025587012553,41.82578538839572,41.383598801193855,41.55145680554472,43.91037799024315,41.643919722256136,46.18674017480649,45.233959890703666,39.73966022528669,42.72371516796377,46.50384997700164,42.71812172460485,40.848349897654046,44.50203075960858,44.9475704725916,40.63247588619301,40.190727130966614,36.24292148038051,37.9053995660661,40.257215585177114,38.14054495382343,39.513694332084505,40.655450469932795,38.205439130686074,35.44965565729533,35.71032491445532,35.18278215337123,31.18869046457356,30.23266486637366,30.490925902992306,27.786555107231976,25.660621717185915,29.822421286391037,28.660041340109196,23.92803311673396,26.543081900498116,30.377649736151437,30.6980558405136,34.00462681293727,33.99061267080309,38.05773155726404,36.07300227424892,31.504561328835745,35.8692818372377,37.36703281684873,34.225820592593514,34.10204623968904,39.865961237194135,38.52424370513791,34.08757408102614,37.21929277790137,41.52209432310577,39.4403388748453,36.07434700628144,31.509170665708755,35.50301092356182,31.579275052697103,30.623081253591625,25.84083914930783,25.234696905672084,20.43380664813761,21.64502337425468,24.326617233731444,28.052589035602175,28.831651645664298,29.161046091329876,25.703744768460457,28.7219362559931,24.85356614614908,22.008498150780376,24.981063287770166,25.575868760149504,23.937052599001415,21.04621455611141,20.33228992807471,20.20485825981305,17.594158183454404,14.81762096576126,16.906764657323855,16.782951381912145,16.033208976255438,16.652301556094237,18.84205790102675],[14.088517658783953,16.27725349319395,20.421366337766706,18.370395553787134,23.785941660834357,19.454369170926025,21.87290930944428,23.69857120491547,21.440017407280195,24.35173960087556,25.195442434179466,26.70943320043586,29.46161890877815,27.282064324723663,31.135998215755755,33.40303069206236,33.62683962470232,37.545884009626945,40.361728294649495,43.261653963352344,46.57700529743011,50.77182667175768,51.269595366594054,51.15755667589997,48.61866302732637,44.28825341835355,42.40483073715035,38.43184381220079,38.28856721546338,37.119872690310785,38.51731502055617,37.99035074464315,40.2279748224673,44.44331150477677,43.32139083809482,42.54944037397318,41.78267107969363,43.68586687579042,44.05861289972867,49.72218493245187,47.4857603136144,47.59739736387779,51.91461366232595,52.15475995308286,53.60651459745212,52.604665983357414,56.32510049089824,55.94583774952752,52.21283575875171,55.95748588599071,58.021085669368595,58.4578677112514,59.05475235002312,54.08075913456669,57.60293880045512,60.97086265846887,57.43039683851341,55.27728683872154,59.955265088544564,61.29290645291401,56.43395648259715,56.86947076245682,54.137947378234564,55.91812838318767,54.499275574506676,50.685985403622546,47.0717622306003,43.51640539093276,40.97088433769166,37.60435070570332,37.1297228617755,38.53537838951791,40.24107532662454,44.411021032956185,43.83282659705332,49.95203815020223,49.54623838705677,51.619577350945455,51.40578980447338,53.34234952601284,51.250277297243535,51.66251358551465,49.11620855341962,50.340369302405165,47.89424463693971,45.8905775829174,47.53459502253777,47.17615762119675,46.87314112852971,48.349518011689725,45.72431427151293,47.676700599668266,43.70976915838852,41.18535988608331,36.77857308704602,35.72407205405497,31.8406114763113,34.733763263765525,32.15421125809991,32.25710013542854,36.40033551685193,35.73601062149006,39.17991984566075,37.60341535669661,42.11039211392625,37.6042362328182,39.990570497655895,39.82867653215229,35.62982917641826,34.64754267189052,30.339104726116716,31.563956483594072,27.586419658998064,29.669935022612414,29.281316659360165,30.60599502080964,33.47607758466791,35.00843814343633,38.26733927315791,35.48503201993653,32.68172445815297,29.59343013292821,28.795485577603554,26.85756856225068,24.452356295679017,28.07570490393012,26.09020036056372,30.5188638797726,32.90738359832542,37.36606812422489,37.62608873954359,41.47681094180467,43.15197221418417,43.045537381577624,40.295112780352575,36.310007820635036,34.89529837133409,33.985213760551936,32.85129884615599,35.37291317093952,37.37888572619808,41.73495403219351,40.05259170189218,37.867315422196256,40.77372880770537,38.14365424060088,35.37745108142919,33.51514758072656,32.790426632198965,28.79860779108432,29.29856916992866,26.53494136962479,29.845929797259984,26.225060210127936,28.26459456838298,31.094530743002494,30.74828999513723,32.4232705423652,34.15272998596169,35.145526989808104,36.81487091123435,39.20336426609479,38.69738608604212,42.79011378325758,44.36232631532135,42.513061059738945,44.451492502456006,46.61978159450819,43.75440682203517,40.435772964139844,40.253351277785136,38.50270864641532,41.51190055569221,41.94024706197698,42.200504672229705,42.166628443373604,40.19621081149306,45.167252108490125,45.839135119260504,46.59593310633766,46.094787030627096,41.84262340262092,46.693319524065686,49.57919128440087,49.19878950578784,53.03950161621524,52.67321602020837,55.96282472205349,52.67851928997653,52.51069182947245,50.438232147022674,48.83278782034785,49.830007493501235,47.299026357113846,46.879552579150634,46.41185963397187,41.556938184389544,41.93367147088575,38.61905835808691,36.50823248874084,37.88227103793044,35.38917220582656,32.49921686585171,33.26259559805545,34.151487450041806,29.65828218444945,28.077892881505296,30.728678431609374,30.297998347009774,24.851708511738394,25.83132831519737,27.153875832741946,23.31122912413512,21.28000750871319,24.675982444494913,26.386783495744204,29.623273122224266,32.7896175992128,33.06339313194078,34.75787499989711,40.17075272512118,42.791287597118,44.82046622924662,44.642601148692464,45.115053589364145,47.61373179733376,45.58264577150771,50.155554480268506,49.039321931685805,43.728526095529936,46.87319247835255,50.558345901008686,46.726591182799034,45.04893353620151,48.799589890375884,49.04507920548674,44.69031052230709,44.557557929861595,40.513446277483766,42.363414374917895,44.61210668519409,42.317207499298085,43.71251800108711,44.60813441812333,42.32642402975589,39.67055873289158,39.570203364579115,39.000212597315276,35.24040301483145,34.12608838351693,34.0233381900705,31.280973515206938,29.256561805945505,33.07499179544661,31.613157492011766,26.882464611991352,29.457616464380646,33.12580049086388,33.730742469066314,37.246111559133205,37.60570617641896,41.62118175670416,39.316756180832,35.052951409966,39.62723547342493,40.860904975293764,37.66013126694181,37.927466721881714,43.553702993636534,41.90310815020591,37.661209773801545,41.07069512988918,45.121691750039616,42.78213195814949,39.51328362564514,34.94538236210453,38.59691928044377,34.54013757782354,33.402958235460495,28.89584066200439,28.692109774235444,24.07102305319583,24.99164702939981,27.954815012747922,31.5831488059815,32.71847243395288,33.18035505871133,30.056060046788993,33.21833342478131,29.472973346175124,26.502812173081967,29.44025714761779,29.783946410498448,28.161381796412225,25.519411315563566,24.469900419298583,24.07577490232891,21.878480514632916,19.096726146116936,20.50896266975189,20.046495423346176,19.305573369406954,19.626525028708798,21.825365251559983],[10.948413179563367,13.492370431629256,18.136646358921997,16.999317328599318,22.820926971762077,19.480134224664724,22.63915335135876,24.84432757883361,23.527425451366934,26.7251377661616,28.153884803554647,29.548859503139354,31.928498781426164,30.180080695684143,34.34767647738418,36.28541105104784,36.213867483042904,40.387397483767934,43.17173446380613,45.8350817196903,49.25926770693168,53.263360645584726,53.846237492448296,53.522106985906944,50.806756328917274,46.617495327938485,44.47050856305706,40.56046529876333,40.6861673329645,39.508377172778246,41.671637970692196,40.687374210516964,43.25563214839602,47.54889085753083,46.05684345684958,45.20288609954696,44.01306889530149,45.7837525249406,45.835461531385434,51.2133687857259,49.02045736552676,49.70238894657257,53.94272587619186,53.93768782624699,55.4150280107267,54.16005521668768,57.83977115463786,57.51665709344221,53.52924940052726,57.01432413520262,59.31245869564459,59.57244526927446,60.44518872026779,55.549628023929934,59.24270204433645,62.749001829443515,59.35612410015743,57.379273361265646,62.11262613632017,63.450020903407726,58.82899492046871,59.626715799480124,57.04432759002555,58.995933611576596,57.27841744851549,53.389158039353795,50.130189879064844,46.61613418485898,44.20988431915738,41.08024443049895,40.65897992980474,42.382348149536334,44.016481908672205,47.99218526691353,47.29398255215457,53.46527333024056,52.63074536532387,54.78732410564802,54.21855486594342,55.8412966818691,53.463741900955974,53.469771220663844,50.711160486615064,51.56120096187032,49.13013209041032,47.55130502929052,49.60924299276232,49.40408212487403,49.49423178112733,51.2893264073791,48.92804271048898,51.243271666103865,47.31845317604855,44.71194778856275,40.188233844982406,39.49701187922798,35.482593171632914,37.91121160467827,35.030618309577235,34.796125170078895,38.76025294504663,37.34698274376343,40.860162033906086,38.57320276271599,42.63224383438496,37.81378426682818,39.68829181314223,39.14747172861724,34.73683964525667,34.286560778188495,30.038364234405922,31.912510872641782,28.431695358828446,30.590907996183173,31.039289990449785,32.18181897941573,35.46980816911299,36.794460239592105,40.691371706247544,38.1241703167579,35.3050920554491,32.098944892634655,30.705113802705082,28.47439911216346,25.768834041994705,28.584386118187513,26.045610962413978,30.36337817102933,32.32622616553004,37.027162766753406,36.60882249446617,40.38507657043278,42.34416800008762,42.6573220996147,39.873576315745744,36.210179457590456,34.12893475503843,33.92785918612837,33.20061581488443,36.11173354045272,38.315316386373105,42.89659688658574,41.62077241265819,39.22532914031135,42.22098182759677,39.85227029065026,36.887448455453985,35.120069647923756,34.017968461725346,30.21613933839816,30.24756016295827,28.085791203525968,31.119927434477194,27.919070977930325,30.52881165268398,33.048220067527346,32.774760919192,33.81373012444125,35.929605963770584,36.08674622381614,37.61762912719349,40.60711934479307,39.68377538879854,43.89257701063081,44.885838181748575,42.78576859286868,44.30118893671539,46.25065089869688,43.04494209185361,40.04812980241868,39.88672064513171,38.63615576952979,41.87299430363421,42.543356150219935,43.168246677351625,43.200168731110914,41.764819226407184,46.56817656706036,47.05232046979899,47.4697561707673,46.67630189525172,42.174190321567515,46.66003135599898,49.38129436632095,49.386924136988206,53.39590590047456,53.494397076784146,56.500795635530466,53.50181018212609,52.85526296723062,50.52636834578117,48.74691649508344,49.3434696671143,46.589466062319026,45.855005548056404,44.96734290737268,40.09622425480216,40.21648711651359,36.55805954737564,34.83942705521448,35.63753841004747,33.50033444026582,30.774801577657588,30.775536122669674,31.536363146188208,27.365136394631424,25.350919413193566,27.57166458224455,27.417868666035286,21.942843219151452,22.325316212160175,23.489695530716716,20.07826481657083,17.587882737550686,20.40278276835326,22.25008751488705,25.351300032819946,28.503471016836258,29.134344824812537,30.717536505301933,36.1715101964634,38.50405402232302,40.78848110676571,41.06654761043374,41.813945968919164,44.582943914896475,42.971466505688305,47.42993529004902,45.909417988431386,40.854269218843726,44.31980273292529,47.67540722758843,43.71337776104775,42.41610842622648,46.3547735460941,46.14400731943869,41.74443826790514,42.30924887665551,38.04027105744649,40.506374973548375,42.55066267302261,40.082134354577036,41.86819601359679,42.65831438992694,40.88845707882695,37.94541400322928,37.44325494387789,37.37843129105473,33.800615199766895,32.019504360117516,31.975653570809797,29.493674155322896,26.990152105386073,30.40621360693992,29.145369971732727,24.411654672442086,26.29610094542533,29.87179664997091,30.34836439759747,34.11105968078364,34.83767644292858,38.60909764705787,35.850643356659944,31.795909160436512,36.57289362367926,37.33751293963869,34.02350000946769,34.72282796453185,40.115175962152634,38.042713964858784,34.04174714758795,37.80443498445872,41.47593226887581,38.85741824157067,35.751308901066935,31.258929051468872,34.58587654325562,30.554879388067828,29.087862218541368,24.940384556132095,25.060927756653857,20.777727601996876,21.527127118127204,24.760913717722314,28.268344089953246,29.830314815506494,30.304938619287423,27.95963767783237,31.466577279104996,28.342599552950826,24.96190301626739,28.34180599098425,28.355515006396185,27.600840797841474,24.732894613180484,22.803519498070173,22.939658811938276,21.74472630197434,17.821440069175782,18.619611212173137,18.966247678182768,18.895909277762282,19.842894899696446,22.23953329627878],[6.0757900937444544,9.1827478250677,14.015531308403842,14.582712097464729,20.09637693916634,17.249195837829934,21.03613662628319,23.11501084516935,22.932150608409454,26.60207817710854,28.46336071705463,29.38113461385489,31.611220827359254,30.66780793912795,34.853723380512534,36.30790231900771,36.26382540611312,40.69417168619906,43.76461082259718,45.932422546917856,49.60228589316828,53.317184417243276,54.19094868212616,53.86568812383974,50.837662216440386,46.86411390540627,44.27809155362989,40.37829523518252,40.45983148149191,38.991071044312065,41.91925170367244,40.201108124867055,42.99502453534963,47.418755783571484,45.60776566725846,44.903016534114165,43.132757540755826,45.103824861067835,44.98100195654992,49.9643964262789,48.148666949959996,49.34422117105563,53.413335093782344,53.37854972298787,55.11797415992945,53.79945388987722,57.41748518671421,56.85941371557333,52.668801591016916,55.86275994036344,58.1468078605794,58.10163468484532,59.11653872281011,54.332457068742855,57.92090005367243,61.6955757826541,58.61601774170426,56.5978520257502,61.30183032811049,62.87660950702719,58.54887009556219,59.57953436460434,57.047128190284546,59.40681846323961,57.48586440540771,53.40459121719861,50.73153627210063,47.12923942701518,45.18948809657835,42.17974887890442,42.07530285113308,44.22504610974626,45.44389579809906,49.241847576011615,48.092398207581134,54.180825250468864,52.85005870140234,54.881293556538125,53.942565303090554,55.288438627769594,52.48844741719313,52.198730472119124,49.06624046733359,49.67418128406676,47.47057605228901,46.206167613729846,48.75805927340671,48.43993477736763,49.145840052762836,51.034076457007444,49.121158160864105,51.83952080891663,47.94953075241949,45.143306895428566,40.594887463538804,40.31742967484185,36.28206041056031,37.89097896943205,34.657388144259386,33.857618494567916,37.69612747110334,35.43351902668258,39.13091967973807,36.1467329753798,39.86669243309858,34.8746723087863,36.1953376574629,35.53022540409819,31.02541574314674,30.862678748657775,26.888457128119168,29.505563517775943,26.631799500195317,29.170088677354503,30.48381906163578,31.79631280146068,35.39196459261342,36.892257422185196,41.278439153095896,38.62393153447612,36.05300066193343,32.65047394715161,31.077476583571134,28.36380835014473,25.15679876858121,27.15439365195727,23.663648282528992,27.860335681039253,29.270746525193086,33.958216503539475,33.25313474146734,36.731709140189544,39.11387639873841,39.4972424487207,37.09005237085909,33.827315244171146,31.53685323891437,32.11604084921099,32.050758787880696,35.05399301850219,37.88110056473071,42.49448400518113,41.337536726022,38.606079433914466,41.40934186842798,39.07506058127922,36.02592203163182,34.057093617637705,32.411421951298024,28.75205357718593,28.056655866329606,26.405374019114046,28.905268583892685,26.183532607264254,29.351832276103046,31.53082441977296,31.512906973757882,31.876195712634715,34.52606633330776,33.919563645140464,35.66479534349847,39.23853054446637,38.33485508644185,42.44331890456399,43.10270717129422,41.22721296842834,42.16070313401271,44.192864618130194,40.705431416800145,38.075632943052,37.63091829400032,36.756643565041834,39.813635472174546,40.443502641589646,41.22175893857375,41.072701963223686,40.175624784647326,44.613329428953485,45.14394911117124,45.16297553737011,44.4053791168144,39.5412207319984,43.74803364963491,46.39681290568237,46.869355559816256,51.01475217502343,51.55454110646001,54.437293472337736,51.939155442756345,50.87408827123415,48.38416754009243,46.27117389572775,46.58339473921271,43.651393380553635,42.60165696143705,41.40757900385283,36.577353751685735,36.2608695254974,32.38771620916685,30.69734916341552,30.95316216113763,28.867114569458654,26.470564734904638,26.10675388201995,26.491875874426068,22.51903814219858,20.755834341274195,22.435249021942628,22.069960175022842,16.82475130714985,17.067370468528434,17.934346131913557,14.600057310638917,12.284408427489112,14.98798421742898,17.097202688730093,19.83911084459607,23.512859568955868,23.863858759651635,25.222834438456143,30.694488865334826,32.99967038756767,35.256117138883596,35.47937182994539,36.33776699902782,39.157785271791006,37.73541628377452,42.191381111366404,40.586467608376125,35.733009335021414,39.316077284950715,42.62709436621831,38.75821703973835,37.656432915243,41.72479575026367,41.494854783652364,37.16095389746893,38.11363648038169,33.52978532040166,36.09775305714554,37.86696499335285,35.138188421232364,37.03500659292559,37.63938825682406,36.217769459346385,33.21658406955617,32.34735869991491,32.53951342416649,29.180074237643357,26.9997511537696,26.908860938374623,24.613839177026726,21.87389057003042,25.031646929730183,23.91126486579402,19.22037169576901,20.760748141771476,24.317902132639645,24.743335288194224,28.560688500471002,29.45366688978176,33.13998540756808,30.262435824619846,26.371725973409312,31.246037383850968,31.914946930717374,28.6525042414271,29.640182000369492,34.90151770729449,32.8760877123805,29.12554257649138,33.01372026220159,36.53228515336507,34.054135099140055,31.161937484352194,26.853032060165997,30.354431265101496,26.678804609921652,24.654557249397218,20.779471806581295,20.420161828868512,16.296021384929745,17.79138376244851,20.96417198810252,24.519700363772284,26.027862378223595,25.96174325436117,24.107069313362032,27.561984069161554,25.043358995670996,21.07611528473169,24.35405999446692,23.92501771730123,23.827871461055203,21.088397958275213,18.357364592461963,18.727451018586432,18.63260013693153,14.041956157494957,13.971330883655646,14.958886664553555,15.600120660270838,17.17719738225368,19.71257610455482],[9.130104598916219,11.239156918994613,15.885152855804398,15.63385092006819,21.52671827565218,19.856722866704683,23.506835105293106,26.228914614963774,25.875885313844925,29.049274048364513,31.120257439759936,32.54896934217582,34.24272232395576,32.87876372416238,37.39126469690203,38.95835456800025,38.40011335325104,42.75955961745177,45.352272181965354,47.75949819646338,51.21573442773315,54.964511446811386,55.584761390942234,54.96809467323125,52.109884055457925,48.137329936875524,45.76661930130473,42.03029354172076,42.567251247656486,41.536133421759885,44.55308100492256,43.21127468341703,46.202118679944796,50.45104499134859,48.49345511219207,47.42562341584882,45.85419681592808,47.26854256504046,46.893900172058814,51.891419716897275,49.66875541979467,51.0099607436994,55.128139484595934,54.77584508305826,56.20466143414821,54.63937071276266,58.2238431180668,58.02872898221377,53.80161616096068,56.95156173320609,59.55367439281899,59.651251724371505,60.87391297385793,56.11563733208954,60.06686785730785,63.63274956924194,60.38829833682899,58.72402213323295,63.49832887252802,64.72751204680617,60.42001758326523,61.69179469933847,59.362786461437025,61.41604777999363,59.31616627889644,55.42172761944819,52.56432227284862,49.19526076307505,46.90048534710624,44.15078818386666,43.7317374692116,45.80347421618838,47.406867691214295,51.073903687708395,50.34251362967913,56.55643681161903,55.2103991834458,57.545414460663174,56.54673662725835,57.74632995329902,55.140191633832444,54.6181883854314,51.76436077424811,52.10997654996822,49.62873947841267,48.607383001534764,51.056483930105436,51.17310784222349,51.604574820307725,53.88473192006073,51.785815692441595,54.5167167802915,50.71423892657869,48.12344021532522,43.48314219027894,43.256648408135355,39.09744182017242,41.127534444025905,38.02900440035404,37.69597139452935,41.15801080672789,39.06624612175024,42.38653538848447,39.406877693097314,42.766439216738306,37.68016019440532,39.01809002859657,37.929287030684854,33.38740717432332,33.66401815859485,29.525184651870212,31.915084802250817,29.09079921020787,31.074938660989908,32.40350087557989,33.188651800282315,36.859265401526464,37.823844648785034,42.38719233186384,40.194134807313525,37.369427051599175,34.14528333481933,32.047479613044445,29.628690025060333,26.801351090444097,28.579243361100616,25.753809892008768,29.703245485213188,31.185353540406552,36.08887246953901,34.78965709069601,38.49665153261683,40.6193520113521,41.52505128950668,38.583990878404094,35.341099941393026,32.45537769439765,33.01141960572904,32.69772606672459,36.00907893651014,38.28654052508808,43.04672719952523,42.31395557344847,39.767454114395186,42.86355527034814,40.921151540425015,37.781826325368534,36.29623180816345,34.90771784041921,31.519152150049578,31.238280140408126,29.958098060980344,32.83313483872128,30.424747430114934,33.36195573712725,35.329552270720725,34.92124471138103,35.24434873568927,37.55688343984072,36.75188441227197,37.874178978636394,41.43230913214354,39.90373429166264,44.210807118667624,44.46058211947077,41.997171866188395,43.06072869165989,44.65695369425068,41.13351471041788,38.54114050783934,38.48766137795542,37.84971577785013,41.38295729859257,42.41397594549262,43.51702348182646,43.762421248697294,42.94836926966592,47.57580980546043,47.68735631051723,47.76625419745521,46.49367268933312,41.90284781502582,45.85455910948775,48.30487057352598,48.67044481378002,52.80236892819119,53.40821750481289,55.99766582663428,53.27981497388058,52.099717872273764,49.50282519031351,47.62935719205598,47.75065300717089,44.79389759675953,43.75058108889948,42.41649816626247,37.6072172498843,37.558171622382,33.60385394402219,32.51519646569946,32.758615760442694,31.248372869147513,28.63498324382124,27.66542379297429,28.512506534416826,24.890423208259687,22.05953188321294,23.90632427161559,24.509690093905114,18.988433573653104,18.471222056541993,19.72863677686783,17.228726167792225,13.829025100823367,15.782935624251127,17.435508287034423,20.75078905134243,23.25740440936855,24.4691710940443,26.152580620731705,31.540664900471757,33.7088034015428,36.172379075864455,37.06960875864899,37.98977106704842,41.05838225442269,39.893439726530225,44.087565333239716,42.07072742406207,37.257500901468894,41.03852265890898,43.898076432724146,39.73980670522952,38.85708699410256,42.91853059843937,42.1009641768964,37.66834382391665,38.97403524684413,34.63829006805115,37.90253899296501,39.792693502694085,37.34619917913742,39.67082987999176,40.55079588421206,39.33453900690569,35.95263533956786,35.24996023920288,35.911834350464694,32.4545943082542,29.937128162196203,30.279813062741923,28.250236519677596,25.077437131325038,28.062646212317773,27.344967078583313,22.77061360233995,23.533392896511884,26.994286417802357,27.02136511543923,30.96574345899013,31.944906416753867,35.315294422004705,32.11045075156563,28.160632641677463,33.008141371879624,33.1876087038567,29.721626035522622,30.733454135751497,35.82503754510366,33.23173870225605,29.4106908272162,33.48417674549436,36.73044274946433,33.75356458816873,30.76892998013279,26.365870187427202,29.234753343123867,25.196621244680262,23.54997204387346,19.786214529979116,20.493519827833413,16.826709401681537,17.01677862476709,20.487420727441165,23.703833586803164,25.785326712030013,26.459965041454197,25.108169313574464,29.002359197942514,26.670882449511613,23.17152592945467,27.18043134002505,27.03617599190018,27.385957679153417,24.121047408702633,21.453770916029377,22.536035889070167,22.266047542750734,17.23236493616207,17.680418052993673,19.271651810229518,19.927692169271065,21.54732818410737,23.895701729835665],[9.489662943052766,11.70274422012447,16.096830035205844,17.341128733040723,22.77655453504219,21.61629556236856,25.581547523390864,28.09017835029305,28.413604957306053,31.869718456382746,34.08616193034018,35.1612744849683,36.8882461004656,35.99025078596801,40.43168988854241,41.74218446081607,41.27040781434662,45.747330995945134,48.506149741324755,50.62905995816765,54.214161409268655,57.78415688833681,58.57007107695625,57.94615966301782,54.92300231104539,51.092677302461276,48.48179156580089,44.773080840162166,45.26494717295634,44.032450027838124,47.42440519097591,45.63469393088256,48.67757117067441,53.02416878513941,50.93727718935297,50.0167226849327,48.087450455850124,49.667652816221185,49.191871240215455,53.895073169052885,51.92991683877732,53.59965519179467,57.59244582552329,57.21295487247938,58.785803470719735,57.15842150842735,60.68775277342921,60.37548558590296,56.01986719275352,58.942899312944924,61.55309284852548,61.44070652636629,62.77054567557154,58.11815319348454,61.97936084240309,65.72051451628785,62.69668592162783,61.00749565456872,65.74416467517455,67.13136698965567,63.02085200935035,64.41632419460073,62.104517486430176,64.40130751507498,62.20637078443944,58.20659410484785,55.68570472106821,52.26313661581166,50.23227803563393,47.518953593949,47.26994956789493,49.51565120233122,50.905906607513316,54.506572682951045,53.52107157785652,59.66145735903757,58.075470253041004,60.29215920842938,59.10480449082084,60.15578741282499,57.27597907280076,56.58210066923283,53.46097848040721,53.64266027504803,51.35261295617793,50.55404464861714,53.32184027608696,53.32452056349384,54.158233598901525,56.42087593863398,54.59921886021912,57.51318996398169,53.714473519170795,50.98489770755209,46.37452642937542,46.30343170416701,42.185891846478015,43.73366498796912,40.44138630262288,39.641093982684176,43.1539550680615,40.49757064317069,44.00888553869669,40.55310300532388,43.64954895777072,38.48191449347052,39.2944737332522,38.09614384661083,33.52354870713826,34.08618832005304,30.282675553462017,33.25231304925544,30.921652203864724,33.142254463667285,35.000248359672305,35.87915877932058,39.69759650556984,40.73624423338233,45.551774375114626,43.32354220727393,40.64477472502089,37.33877300137726,35.16314962830358,32.51367104385835,29.44218990495883,30.658425920668332,27.22659532865551,30.979383617520007,31.95963295648631,36.791019360877705,35.16501649999613,38.554677373647394,41.039487530661965,42.06881865917686,39.445541322486804,36.59475437587292,33.471430603190015,34.67255035812381,34.82212600623317,38.20129674324337,40.80576132925824,45.56900670316618,44.96623333112181,42.23935070299709,45.20494606139453,43.30829430646068,40.14050383025149,38.530976486244214,36.785736716123104,33.51083155081954,32.68582177650841,31.682232720641476,34.0280630792668,31.78122286344794,35.13602842440843,36.9953746650834,36.87410709932998,36.773758148979475,39.47976984326173,38.18344332811539,39.47890437910547,43.421620988173515,41.90771604699164,46.11680779650664,46.084102543224425,43.733200311783364,44.33868194401343,45.898310142478294,42.150682851611286,39.91628756430433,39.70565524093639,39.42687610551032,42.83863518336705,43.85582853438179,45.07230151365994,45.16281965237213,44.73636460188758,49.047507748346355,49.2310962538465,49.000690285973484,47.770389967514674,42.92738328020143,46.58987170432947,48.93663473197398,49.70223511498973,53.92181698254382,54.88563543721286,57.339181715813986,55.00715940184086,53.49237840910744,50.761786624316635,48.65022050574586,48.48538506732432,45.38582537643202,44.047862104382254,42.3724741398586,37.66710431794272,37.19807891278842,33.01678477862874,32.12334830717783,31.663553141167167,30.34582450943324,28.18253920012205,26.620044677991388,26.99321349455037,23.840091687022806,21.17890942265213,22.146276403217403,22.590661484562492,17.67446659379025,16.576643954660682,17.191117783804188,15.313994175755541,12.098715162987437,12.836409154439385,14.937659053223912,17.409539043870875,20.48661956921112,21.844218407285585,23.063598148216514,28.430047809025076,30.126025913892285,32.872988709960204,34.07436183216201,35.362996257008405,38.60317452339957,37.888060461628655,41.992977210970885,39.70856798458725,35.33691146890451,39.33969632286863,41.96269350762417,37.874601865675636,37.39812722832649,41.606132509505734,40.53729343947832,36.19647551114162,38.17332568885179,33.55613488886448,37.102574241853205,38.627762434058,35.8753761738926,38.36082285615758,38.9128424727082,38.22148296108921,34.84786510419754,33.56320743619431,34.53225357595261,31.509212203784973,28.49462381982025,28.6117762606618,26.86816806728032,23.559723868654103,25.857140290230728,25.192178315948656,20.905139493647688,20.99392445553297,24.127760642933133,24.219606700242686,28.31625892675056,29.765718577253153,32.85826572486164,29.25525411040497,25.83151886979031,30.818958444159446,30.569986469933372,27.145272600821407,28.785288503328182,33.47589409151097,30.60822103224324,27.311731545731067,31.697236947962338,34.4562140348479,31.375825000365896,28.764210024272266,24.6715270181356,27.24098472412062,23.5481599244673,21.17309644278632,18.204681687421107,18.909312635122788,15.949987020053781,16.451000494819123,19.906605594058433,22.88161925972847,25.19805891235683,25.48875481944668,25.005101366777232,28.871173294000034,27.2713321312451,23.342449789829903,27.17280033947211,26.509051888461826,27.512435745159355,24.551035522985707,21.120361101946962,22.30276677047357,23.15155676138518,17.84881920551221,17.2175855401208,19.14734379185868,20.297353206470216,22.166670788229034,24.485402634524895],[8.874591343981667,9.735230348682265,13.551711663864927,14.407880775673243,19.73585957209863,19.69199652341172,23.564716658667987,26.555422412512364,27.13363683972425,30.23533602260028,32.81175510102016,34.15718124483537,35.22689775309223,34.35568469247901,39.029759432618164,40.180993569633884,39.26456236273763,43.74506753336412,46.23626297560291,48.284820050341125,51.790431757533796,55.22745689448576,55.95888931944514,55.14357844269111,52.116540974822726,48.409744720085854,45.78303468511908,42.2364586370242,43.057851123737834,42.097133151043465,45.89004250592587,44.152684718995694,47.48880804160823,51.663795744102714,49.290102274294966,48.089797174128485,46.129394622464375,47.27873222901615,46.5449216397974,51.09729374650597,48.97222398244167,50.916256780387435,54.8523526127879,54.24264997039448,55.70238557996127,53.91421513688162,57.38413771005532,57.20886348378783,52.78707123146948,55.58847990942765,58.3783858195609,58.27796346018777,59.78519508093276,55.19770446099464,59.28623937176541,62.925777621819954,59.894765255937116,58.47149931208429,63.23061091037703,64.42526831081418,60.4594783903266,62.138172408837534,60.03620912739094,62.251575186352795,59.82751641325224,55.91506455249328,53.54390809836259,50.29793945339001,48.24257678389817,45.84055238911391,45.520845519027276,47.94727562674052,49.38397680099212,52.7320682297958,51.86046208729818,58.026590894407704,56.175838355072635,58.604875851504154,57.194784053424414,57.98922225441374,55.14698195649685,54.1543394222595,51.1944858722471,51.09021442510196,48.6421920532502,48.130434090075525,50.95130782298637,51.302654768551484,52.11705770467242,54.7815146622863,53.00211073712386,56.12499131827768,52.46694030140754,49.88295559704321,45.200928705565076,45.435444664677256,41.21466521457156,42.75506256205625,39.48718611933587,39.05218954073853,41.9688707018574,39.27151713337769,42.35410161931456,38.78135018713854,41.43609249991234,36.2125719915964,37.028822141472126,35.474301957561906,30.91972799346626,31.84643657735249,27.950982709730976,30.772470367525784,28.676845043757854,30.51664545628616,32.66328078681445,33.20760950560246,37.14202467740249,37.88667925078047,42.9770211235411,41.05703593092743,38.35862427947792,35.13779667693855,32.56097670909184,29.94496517558349,27.009926989516746,27.736817541584863,24.618140347422052,28.07520639208186,29.021221906561312,33.95944007048929,31.925572038905308,35.46246053566974,37.73793663595491,39.11373223289442,36.16129477066073,33.400148116054666,29.91843431878851,31.23666040546455,31.429230223018987,34.96359444120282,37.44142616586988,42.24166425220249,41.93201399962233,39.22620389982425,42.28275724299514,40.70012434893763,37.475410106202574,36.19584117655497,34.519429205612795,31.592462328359417,30.987770695819112,30.5633998143739,33.211923442985906,31.65777450286669,34.77085551897345,36.1532565191279,35.63390383888945,35.27552732068771,37.740745668860455,36.05800709838602,36.84418830749248,40.885213018616405,38.927702187079426,43.20600116872926,42.814971245207246,40.189804055226304,40.74585899701102,42.08991644399635,38.31092154221702,36.161163738061425,36.105157888472476,36.03346193518676,39.67619185065394,40.9593808650578,42.44979551049879,42.83965868641557,42.62618901658198,46.98951400877851,46.79214124049392,46.53809327935976,44.90096567710996,40.25864326138904,43.67275425475945,45.862968861831256,46.58465096886476,50.78907084796012,51.864281105852044,54.08805641069262,51.72311702050752,50.06152581763113,47.259505936637346,45.261856324335916,44.96512332065339,41.85559459616767,40.528491688459845,38.81526202981172,34.13128517744824,33.882371050513285,29.733301431535047,29.19990031593103,28.957640767867456,28.04766625492487,25.59114537904838,23.779795356347474,24.73169285846248,21.722355336575095,18.203154653897666,19.686795341805144,21.104183079256632,15.71921366965138,14.350578110624477,15.847180817354571,14.453465908888628,10.251466570488782,11.326186725026362,12.471944161058673,16.236907320718608,17.838340472775695,19.457947050439643,21.362662090828607,26.60162779556709,28.845775501898228,31.27559047663508,32.58952168703506,33.51832942382052,36.772110156162555,35.918098874283416,39.836135635614106,37.465685283826225,32.83334858917712,36.80840413311371,39.25681016345573,34.973006095305266,34.403654485616244,38.52144938785893,37.265778795015464,32.84448824483827,34.723974835221796,30.364437766557455,34.2381978213685,35.98007118827983,33.6270053222357,36.38949207012122,37.417777593899075,36.65029527291523,32.909456406995716,32.158311381134844,33.47245287807622,30.12628231773512,27.05324237768448,27.881312591498958,26.34235931484646,22.62703960425585,25.249422476551377,25.192707482563577,20.957202885050396,20.629324065113682,23.957506133100363,23.403022867759404,27.34230976768637,28.370348956822355,31.34567525152177,27.913005662399346,23.969956323986523,28.734248464306653,28.4827716086236,24.923558975264832,26.070202117183946,30.904070505618648,27.984461841790626,24.26704378012485,28.515484256106554,31.46308647346294,28.29537913883016,25.3972676100015,21.09998510379895,23.734927672865663,19.800325353722908,17.953146773140404,14.460425858392181,15.541150359130148,12.621102707355917,12.407878477345584,15.930776315615923,18.854959921153856,21.272202896297568,21.989919454098608,21.587111462211134,25.67740768520875,24.187344455629283,20.690881394281487,25.0998451220643,24.86477105667763,26.21562962192644,22.703770275269978,19.555910684067637,21.540313540111846,22.03624650981868,16.40731740821162,16.640170536142595,19.340570540322567,20.55569284900997,22.66964454585709,24.844762648626713],[4.994213082335237,5.912013722881389,10.281298813138815,11.099815297219031,16.54728722604105,15.71379999324574,19.648144091499976,22.469354686976985,23.049248645974913,26.318344972478084,28.84235170976725,30.042483201191963,31.265258234987908,30.55080218828311,35.11240262184793,36.22118712909049,35.512993556229524,40.03313781377652,42.765839869701594,44.72286139871842,48.3398040966615,51.796081440010084,52.65138039246684,52.01740371676707,48.904825728901635,45.1576266207909,42.43450694021967,38.77017575524011,39.35508992115563,38.2115079612602,41.94573587695268,40.098917737425566,43.377628806626895,47.60293592822332,45.28943580557805,44.21853118499306,42.22325961351209,43.61633088172365,43.043316760533905,47.68728561309896,45.72863122710106,47.50767486184013,51.457507328092134,51.048854505292624,52.6771282806447,51.06749418001907,54.58708696801899,54.19817857656459,49.82411250365236,52.737952387356316,55.32349371934861,55.19797936064444,56.54374758217713,51.89056729958845,55.804609539695576,59.52296914613657,56.519777709441875,54.89284093468339,59.63428554218034,60.98977067214921,56.955872472990954,58.47988923352695,56.26765672590348,58.60886743832168,56.29055989658622,52.284713301104595,49.963170916246085,46.596751871995714,44.70295855242613,42.17437598129851,42.01158909007137,44.501902191897535,45.73847367652842,49.1423852164457,48.07547349806368,54.197271242246295,52.36353846692921,54.674946579890765,53.31192449416565,54.20467310124651,51.3208186474426,50.488100245317945,47.45348806128242,47.53929443490398,45.17269984940179,44.45713037078446,47.26084662629234,47.424264674130114,48.29117150138695,50.793127167784654,49.05925852214756,52.17791853119147,48.489505535708034,45.83610274603095,41.17615933918002,41.42317078748744,37.23475888694269,38.633749793179426,35.33346936891188,34.85536232351214,37.82660314870093,35.18647057766174,38.35377282562834,34.90394825474545,37.83122175050027,32.651811319079755,33.692393268072266,32.41140446128934,27.84867362864616,28.410747050511983,24.411390082725497,27.168158523415936,24.878021107003242,26.969245792727527,29.017525965035823,29.848430762597154,33.74038093059014,34.80885475993212,39.77317958559735,37.58008903137587,35.00244837009491,31.67322133296849,29.392965713134156,26.60388741077759,23.45489628687302,24.440561323702816,21.05682748444133,24.78498605152276,25.903197840610922,30.796831432638502,29.277315572249005,32.85087644545983,35.143401661265074,36.12859549558445,33.35977066495989,30.39520760744594,27.392342092192177,28.48096035940949,28.695448034659243,32.02566355526126,34.81865145771316,39.54237558101955,38.90404572009411,36.10411421205962,39.02496654727886,37.18658871584059,34.001006486695445,32.47550333899035,30.742148386212328,27.645046424657284,27.00187583549974,26.409488399999407,29.108873714719042,27.54104904114243,30.585536478463062,31.980974638918237,31.495137201352847,31.229694334861488,33.737019018079174,32.25800356761675,33.31683092175688,37.27797771186534,35.67234456832741,39.88490195986932,39.85019107342002,37.57634695231118,38.22119239456787,39.91360215127242,36.23581615654135,33.88630443231613,33.601641248827995,33.21666653903348,36.611664515900166,37.65620824343137,38.92722794583325,39.160058265652005,38.78759233077538,43.17234068226001,43.159799478284455,42.97935221441557,41.611675687239405,36.877474525706766,40.584925605935766,42.958635900254926,43.58204640958887,47.77857971283483,48.67863161478553,51.150418804714946,48.7809037523551,47.313492898180805,44.62647897658071,42.54940506865827,42.50990650090482,39.46463976069528,38.265964201006106,36.81717615792915,32.02676780044839,31.803355966724833,27.80322050156376,26.727290997688886,26.902995527857005,25.50045983118819,22.8802517581525,21.802555089247843,22.762010229853843,19.185100799227744,16.200924534204383,18.195190566063854,19.126254041664847,13.355266886247405,12.910300184006944,14.686263133700997,12.306386677042495,8.457834620492427,11.218534637613057,12.403046592933137,16.398632598570984,18.555357070420477,19.29585745242327,21.312395969910884,26.648492466695632,29.388835678449812,31.43102854807198,32.02829067415549,32.63473518755567,35.6117274443395,34.274772850143535,38.436941447766934,36.52021320444334,31.536500422171365,35.249023525558606,38.179851598956475,34.0474849604097,33.048657651454974,37.103694486895314,36.446257938086845,32.02630822506848,33.228351028423305,28.81561600206837,32.054900049521684,33.944923769013464,31.586058334411504,34.012834947190804,35.110654058820195,33.90647953157267,30.3285874207853,29.862683538620786,30.772413678339436,27.171698763551927,24.54188539630822,25.359618088145687,23.53535305036444,20.02363471276517,23.253444327554128,23.045576868908153,18.55173911538011,19.005788768787614,22.67666678740955,22.23766489758185,25.99794428301143,26.617654557716488,29.99530637887561,27.05848599768296,22.72269080160401,27.435916803422842,27.838647213006727,24.383011527124186,25.06513019940078,30.33684341680514,28.059002330836638,24.013982647683203,27.91258784239458,31.42775040763844,28.758392157671928,25.68133879909721,21.251632619694714,24.697537865429304,20.908143707219967,19.21019530079023,15.041629252590491,15.044768484954162,11.09352837893143,11.998854609161775,15.272933653763246,18.72595217925464,20.461709470991305,20.772229917439148,19.422745062999454,23.274695721154643,21.254984953431716,17.58908500896838,21.773249622914385,21.682400077152025,22.550380644026106,19.039882246223286,16.189079566462507,17.95300707602957,18.01226438509914,12.485364361235986,13.168913422681738,15.74941143086777,16.823754623659784,18.971298863029954,21.207801066777037],[7.3584236088811865,7.9899189138230975,12.145696844974523,11.238455948594238,17.154645542736112,16.31774365911444,19.90134790235028,23.072358608731655,23.026444659024616,25.911756561936084,28.37193795399604,30.004161234668352,31.06160258545931,29.827327748108157,34.54983989296019,35.907205471326584,34.97099370555825,39.375037685191785,41.81438244179672,44.081709203470346,47.524383245483996,51.1326941205391,51.76924851408897,51.033425803689056,48.11028517020769,44.25134239012669,41.79338739753504,38.16581309694639,38.943867850812055,38.100911510476905,41.55581222342396,40.17695238198929,43.45928101344942,47.56237364696047,45.315936476644595,44.02369438847872,42.3708779050119,43.45792557682016,42.876521926510875,47.743323521089465,45.44579083509226,47.027929005380805,51.09005703874758,50.58621723344555,51.99041251129306,50.330090211425656,53.880960027808264,53.71890680851004,49.42368874719616,52.4870672791103,55.185376465467264,55.26667653892119,56.60848515461008,51.892044327870906,55.99635438228645,59.51108610808369,56.288529440460536,54.80410443970152,59.59448494700295,60.71318160418669,56.53885963013616,58.04961867318435,55.888977437155646,57.941133546796834,55.63703479000609,51.7755796394238,49.126443547760815,45.877528020117325,43.65130352388299,41.17363875078261,40.766265294130875,43.08692287532315,44.628454239780865,48.051201835488115,47.32341299512582,53.54609607694905,51.90122781166522,54.396495402157946,53.16532701584191,54.127933470454884,51.51410242650975,50.737962502486326,47.993745535303376,48.11433748948947,45.52003214114206,44.72176615983602,47.24697619080688,47.63355012556743,48.105311042670465,50.734570310384804,48.72680364764249,51.6985267414281,48.027963849153544,45.54282620704687,40.83486026454967,40.957347719495715,36.70065115371386,38.613089553471426,35.506147646011215,35.49709534895574,38.3585249815732,36.202470666643485,39.1271235701215,36.046422361850134,39.04914984535073,33.927922124656085,35.33587760451405,34.004125643812664,29.491990525623432,29.988690107784706,25.73504232840379,27.954999318057162,25.303460604033713,27.0051471855343,28.62543092077777,29.18786283792787,32.99084536182165,33.7981543986577,38.63671034700986,36.63722848326294,33.846742367813114,30.642246718897148,28.22460712688978,25.73292583852441,22.928020430558377,24.29407594531751,21.675704495334088,25.435937627841245,26.95182908874565,31.934280385598758,30.439326940107247,34.28925425377145,36.21864454443207,37.30726541361906,34.12963180377499,30.9018620912785,27.853300258404904,28.43742969171684,28.187436805962246,31.58796127780802,33.90162204368284,38.685110981479156,38.11669876513078,35.528557713912384,38.66092572658343,36.931536635137,33.73860213441759,32.48116869684598,31.119193652527287,28.02432953795268,27.93391163975347,27.207716294266156,30.379862280118495,28.70992907970717,31.393759394412747,32.85239465818367,32.06217438743873,32.12422891860869,34.2293728318612,33.079196410500714,33.80022687596036,37.45215055779358,35.61412710389568,39.96665425503808,39.98779019087015,37.401428747371945,38.43272998033591,39.96454945723491,36.44204798644775,33.85789049898236,33.85481678121977,33.30219013883419,36.96350284347015,38.163228231672626,39.45969773381466,39.93481791163402,39.298619215663294,43.967126790671124,43.77259161647767,43.83661278374761,42.26903621549989,37.8283900400923,41.63532684264742,43.99827934236745,44.301805634085994,48.4197968775297,49.087914847683315,51.545382111952875,48.8160523297588,47.55030803708988,44.920947394235135,43.11282175800479,43.19819971342815,40.255143264120456,39.266757976406794,37.99776907176018,33.18190252631844,33.34730515299457,29.50400230372923,28.548010048708278,29.15945107188747,27.856054577622896,24.921808923929763,24.021857662146832,25.40200059337595,21.74271309383398,18.360358475227027,20.87152675549805,22.158109894730632,16.182258081813814,15.803985440508361,17.89095212359982,15.5295991845228,11.556012130153642,14.304722889878358,15.132426687569772,19.499570412687966,20.939667262228284,22.006571525718037,24.289952035107614,29.538800500257995,32.35021207210729,34.37189112544891,35.09459069474956,35.56983824380533,38.52931006324056,37.07092828325516,41.16020221853003,39.243855623475355,34.09647655576303,37.728677117861004,40.59542439764059,36.344080028319176,35.21647862753103,39.14827599660492,38.39921191956471,33.92265102726522,34.86167030924718,30.76987173051953,34.07079016499456,36.20701006999884,34.14124457869937,36.58735022155675,37.92853731829476,36.500828305095936,32.8505284735204,32.74653672624159,33.59059330950958,29.768554918316898,27.369650309046147,28.36466532305608,26.45431351008372,23.003213007603613,26.450775582693183,26.248096478077663,21.692152997116,22.311926673175314,26.016846421040178,25.511554048207692,29.215769716238604,29.665729584119664,33.04394839164539,30.19553014863231,25.687310986323016,30.261349478608388,30.681984973841598,27.17509559853294,27.55591609152918,32.89430438970425,30.53067681518842,26.25256386154553,30.01525956096004,33.629011704722686,30.804188852715093,27.52604389173968,22.943781509793634,26.173897980967357,22.039780062647313,20.956830904721492,16.52896653131174,17.11039767686848,13.131896463715604,13.068821265781997,16.411390222605913,19.763296444962574,21.61057456481536,22.52066040413814,20.84035759280135,24.823900847582856,22.38133149777483,19.281043201423653,23.740863670178488,24.068433889085924,24.584483095501426,20.796502662982235,18.562002976536014,20.329735006719808,19.563459439520916,14.291058556543966,15.771245974623435,18.05220722952251,18.739610233034224,20.629065477124563,22.821680175428952],[6.769995627723303,7.836688003618316,12.10058786231239,10.463236118453953,16.423362536742555,14.154581791225322,17.543883883479378,20.43904453604949,19.870019701221985,22.88492301601219,25.0594636257291,26.651287599050423,28.100055531253997,26.72977930831424,31.302545827717587,32.82668976212364,32.200542323760125,36.57019517696671,39.22492714811811,41.58417954672556,45.07855788027331,48.828882391953755,49.50649140588633,48.9866266101103,46.08213242654566,42.08696941489373,39.6811032337792,35.89570577712222,36.374214778208,35.377250815888495,38.430549075862785,37.16551893709802,40.253701606870266,44.41722526773395,42.397324521806674,41.25082774017083,39.75791076054165,41.12445100528949,40.81809538210134,45.9275385032539,43.70998902260298,44.90556667076783,49.04571818449778,48.79545395588232,50.30140209727591,48.866200386739614,52.49090747629876,52.17230343745994,48.00591202006206,51.28333544935631,53.74991990906812,53.899134833098366,55.00421008969348,50.1854633302245,54.098502192407594,57.626135064532605,54.339264743517866,52.61494946641721,57.389730907508536,58.63076220674929,54.271179270904604,55.49893074046516,53.16666536169178,55.23573073907406,53.14529037233986,49.23113900557611,46.40855686476216,43.02258795183732,40.80628534040238,38.082688979702056,37.74497934454248,39.96055311912342,41.429298641769776,45.032526975777174,44.226936302654856,50.44039167367138,49.025503816649774,51.39934371746473,50.37994758771073,51.584477647972044,49.05234469642517,48.59357486193222,45.8573128736155,46.30359421697775,43.76116877517931,42.59956857491249,44.936300670823,45.09197259812815,45.424924451567534,47.77310111892369,45.6547764472053,48.45304748005912,44.69862189681043,42.1652341060652,37.486701425122654,37.41525974764505,33.19761205561075,35.24880189332349,32.205295034526465,32.24840733041089,35.36932501865288,33.56131159895287,36.62049678739751,33.926668736108695,37.40653661011859,32.42867404846074,34.2157981981923,33.28274256305971,28.84254172218964,28.796710726266475,24.425556956193894,26.332058253994,23.207730826467312,25.12439874475145,26.24592115729212,27.12844660173687,30.751786670702963,31.894721650724414,36.38082522460685,34.0609603408137,31.305451309143965,28.024176370739575,26.07025289021341,23.563064916908164,20.682658648046306,22.76957433924804,20.19081587651777,24.301369483999835,26.16726636980826,31.02107596991289,30.21609377099506,34.105338178154575,35.953948183621876,36.57053746537784,33.55398459819644,30.0147261587189,27.610047213923107,27.678433369752586,27.210123746301704,30.318620519172605,32.74399072650359,37.4187840936947,36.4282034337678,33.861356072770185,36.89748550061551,34.83226749038385,31.724734136369904,30.208078374513885,28.96388018462429,25.552062168524515,25.627329546651765,24.373842704833134,27.711994946909723,25.664217375747505,28.16026398298504,29.88248665053484,29.142576268140797,29.604587332076193,31.632199202183706,31.0528682109948,32.09944653492014,35.440290420084004,34.0545263773262,38.344328928067696,38.897022422692665,36.64562449267903,37.94679152959544,39.806651117567114,36.494868519915386,33.621175659659784,33.46388881046026,32.453310326446406,35.85863583176346,36.77316895963971,37.7361236640131,38.04146330979758,37.022389896465604,41.810047338071186,41.873912350915724,42.13911525283773,40.920682258461746,36.48040584084675,40.68799797607621,43.2642504641854,43.345893644145335,47.402119572298496,47.74658397497497,50.51720541426321,47.64563203302703,46.72457962345457,44.276389829872784,42.48110667874523,42.91398113316429,40.10389096600076,39.32728362844009,38.39744475217002,33.526767754417676,33.784448914429674,30.177025118773006,28.671875027907262,29.729888950579543,27.905336900265123,24.86837888141814,24.794535367657915,26.09573234353123,21.960486845854163,19.315024511752874,22.137843711379944,22.78955091897148,16.812019536547,17.269282362469784,19.286377652523225,16.129543553326403,12.959729988679499,16.51026060714388,17.53949448933187,21.679982910429207,23.7236353778818,24.201014826022334,26.395394948078494,31.68324491228314,34.69146910581285,36.508867343502395,36.68196610626553,36.97406369366843,39.67506460496842,37.830974851063736,42.13064762438737,40.63344344905901,35.274132184568515,38.63565592505049,41.91956121566539,37.849501463148606,36.36823089751025,40.19729295784287,39.98336160616661,35.55696129682948,35.867433787767276,31.807647380895652,34.424791874165365,36.68128502245775,34.60148298447809,36.63161239117957,37.94420943177761,36.07361786494651,32.723354355292805,32.82417460733972,33.14028605171891,29.16490500007096,27.331686730219392,28.11009891875669,25.862389758762664,22.856488945487865,26.724942371731427,26.183920451010227,21.468588288736193,22.944410872881676,26.796274118651276,26.58118877171663,30.11931753215519,30.309940653842123,34.01987783153081,31.57255400374966,26.933242291012654,31.42911440218035,32.36740995814894,29.004080692013012,29.09475401367525,34.68766289580373,32.81947403798092,28.406772332305593,31.868064148221478,35.85320500326493,33.3979088998131,30.048229419476645,25.445809381468653,29.126535580192012,25.108958582657625,24.105647267156517,19.42075684350194,19.321859815367947,14.803585998588513,15.47904842196009,18.493915809145054,22.102141029706868,23.39992481084015,24.016152552372603,21.457500268498954,25.082142877064307,21.985931865448812,18.90699111186231,22.894348306820287,23.37321881488723,23.08014101503551,19.488126381520097,17.828205275679938,18.968014456320873,17.439615034872595,12.820720929247162,14.769953398148944,16.31374305989131,16.537819466010106,18.129535047792285,20.38179971506941],[11.428030129514996,13.006765964582186,17.238503732896227,14.88921471275044,20.82662044727607,18.071733170587954,20.91298273587705,23.6771552032436,22.133247330269697,24.802956974843774,26.466726520131708,28.37047043994311,30.133686121146845,28.052769727895488,32.517505524712476,34.50083698346005,33.958808793350045,38.06963854336831,40.490970610741336,43.30654772694939,46.57467968394021,50.59371669856356,51.00663827134989,50.501793402779214,47.896949004541604,43.709094955866206,41.71639917274446,37.92462471803267,38.38782417702875,37.589819905811225,39.86947140404882,39.22193678419016,42.0200333517448,46.10723981209935,44.44101024058653,43.24321561664055,42.24937562634134,43.53420486881472,43.417847790108624,48.84831274339332,46.34428429530985,47.064692638762295,51.34431033809833,51.14201634984728,52.41630392943255,51.044817062413856,54.71137292136013,54.59981606615995,50.62866775285621,54.14111247824194,56.60590078318861,57.00307135636481,57.974207697255196,53.07690936133842,57.02987533922732,60.343374617592474,56.807152387707234,55.086719971422035,59.867127685623934,60.9329148211734,56.31503566031897,57.29324968935471,54.88462144651315,56.60423673366782,54.73694814153829,50.99067860820917,47.62527473580786,44.29999886183377,41.66198552340991,38.77987541977867,38.15098483689836,39.911875659176566,41.775009210270724,45.58652441640597,45.18072298702094,51.44627583951275,50.532587514881705,52.96046660099428,52.31144189613948,53.799721260237725,51.61661048258134,51.45979406352611,48.99455076401657,49.68293717593632,47.00558857692656,45.55231981457785,47.46647274781164,47.63966864108176,47.46500411099221,49.63114369450635,47.12691960149501,49.5119313172404,45.701481824777915,43.31055844946296,38.69329309981144,38.168466842453796,34.01850810981467,36.77275659422027,34.03252336922048,34.38988545306868,37.80767373293825,36.666694175142126,39.711425649794364,37.578757858762344,41.392517665797186,36.58176563516983,38.70205422127145,37.92678068748567,33.570757959122076,33.27846858227573,28.814772119834,30.238323271028413,26.662845240843392,28.3297142816851,28.65791732939755,29.42348046634327,32.721995521774545,33.711745903919514,37.694314414504504,35.43818953413808,32.46005761547942,29.379226979463553,27.64827686403852,25.632291604066623,23.242108254996463,26.055285970199062,24.21104965256282,28.378937605983865,30.59059421882568,35.38618268721909,34.80371019155501,38.82562714234344,40.42546851708015,40.967756241836746,37.75425026018928,33.962751620900406,31.72833282112461,31.2191120837004,30.20150367190384,33.20859360172433,35.043177130249376,39.66969027380399,38.582870242139755,36.33495838799594,39.514431952788826,37.39873914074046,34.39576450252827,33.00694872148277,32.195689269750915,28.625880674585396,29.172209328343754,27.35491879410963,30.916705602158597,28.234970418166306,30.417242585086992,32.578878848896984,31.801086714861277,32.85537840186682,34.53875814937933,34.64715105310119,35.63894156155514,38.47910722381917,37.14915816701051,41.4824298753893,42.32420580527096,39.90245906507795,41.65135807276069,43.41013702537494,40.32087554005616,37.204133069181665,37.284584902103546,36.00437937597031,39.514320292819384,40.42542975451433,41.22303335839236,41.59903569862487,40.13086091955361,45.15176970562329,45.27006934133428,45.83289842672725,44.66752832584674,40.48267762763838,44.89229943809466,47.51989183183378,47.28545840253763,51.22425666038151,51.22819103801,54.09886618638864,50.85128424297386,50.266193680836544,47.95002011201857,46.40849595078543,47.03626143043154,44.36046483611484,43.78717488382187,43.03184092310063,38.17006426967606,38.66008803066606,35.15998295618661,33.65780468829081,34.88580467733501,33.00182266790195,29.91090135074443,29.962211911464166,31.28375019903231,27.104046812789058,24.476866484270374,27.29866110762371,27.831508608350813,21.94369967087605,22.31859865670851,24.124068393710637,20.90631022970503,17.840876564519725,20.995735168048746,22.236569621525852,26.15293498772136,28.278748045618297,29.078218862549445,31.163424080728863,36.507412286984646,39.23957677858132,41.29090817755425,41.63284847122431,42.06311694332912,44.80345821140861,42.995409171482606,47.31638649362413,45.7917531806382,40.46217032406248,43.82758569911763,47.087324962468614,42.974925824038735,41.50094853626165,45.28909043772682,44.99596489005192,40.54587132364472,40.798929935777814,36.88662796724731,39.48458317842247,41.814678485843814,39.76381081397685,41.70212968111338,42.94343820372067,40.9671686094331,37.75544733526402,37.82031883251615,37.926453078289875,33.991067918044884,32.32309721482069,32.84293934070156,30.44158441180572,27.686475397503244,31.46619684640841,30.609578920126996,25.843584409232324,27.550301045176084,31.308004724926725,31.354144673483287,34.99595331712364,35.344856558059526,39.07929077333955,36.50953589048312,32.02214646737059,36.584308858135294,37.425328983984535,34.028438904288336,34.23297088810666,39.77212238138941,37.71543574472082,33.34526871673887,36.877697781074296,40.76307001720332,38.10045268990601,34.735347974745,30.094519764583577,33.41971521189482,29.177854267730734,28.342608793426546,23.79864383240442,24.19347841411612,19.828131613226486,19.958496613651224,23.09068066461652,26.526136720269992,28.035382866360237,28.991253233760528,26.368329681726333,29.99953586175302,26.626855995535976,23.847438285824673,27.698260225023024,28.238905654637872,27.49760754870562,24.093487666449168,22.71987592224201,23.40348465446799,21.48796786462354,17.486565573553946,19.312410381932082,20.128361677265282,19.945588788810408,20.996194369630494,23.21386559319862],[14.859133990576442,16.288930507766175,20.228760240456953,17.159899239957024,22.865003028339036,19.755526032903713,22.024400305558036,24.703971907337856,22.434959453910174,24.67367159538551,25.960999613907266,28.153102610685767,29.984821534160467,27.38442245518636,31.72671406535995,34.01641231970138,33.491832868642,37.354411546256706,39.575323898264514,42.69934736821136,45.77598666685797,49.96982049234154,50.1929511172042,49.7288300617256,47.35417205237515,43.0483833047122,41.37718782532945,37.61035319206182,38.054305155281135,37.44698832290346,39.14419691332775,39.01311355885203,41.61646583076642,45.56713717217481,44.14385789510291,42.8702162228733,42.291109741322096,43.459817456765485,43.49700964641158,49.15686128221885,46.45172892447789,46.77012383173048,51.13164933513009,50.99176518159231,52.10565014321988,50.83115520263301,54.51792392311913,54.523438713885305,50.743307100148236,54.44854767133986,56.857705930951184,57.454407545055034,58.289699956782734,53.342517496979625,57.30240369212531,60.42119565911515,56.69986407641298,54.98466557632213,59.74673254808641,60.66904804859135,55.86714306815851,56.649738735901124,54.206021596052864,55.64873699847562,53.95314498199629,50.354981761414926,46.61112285323664,43.36196461572912,40.440258835338426,37.486568670548515,36.653927517505345,38.0946884850308,40.21685087597141,44.12741900184706,44.02198102262856,50.29027528884939,49.73035658293076,52.213568051697514,51.8310226835862,53.51318204106963,51.63477958121727,51.70946719152411,49.511954666464185,50.39273785657497,47.60450096235214,45.9137734775249,47.46097877270448,47.680539736369056,47.086302462101855,49.148524216757714,46.35930721982028,48.444816066236804,44.6436394987702,42.4151602325521,37.870143712774485,37.07192464327526,32.99447202228856,36.27865175051958,33.83214688628386,34.58690531012776,38.017336820338194,37.4785147969631,40.35944122280684,38.74535020756572,42.77167793085389,38.15844100531073,40.63364881191163,40.0050046494838,35.783110800779845,35.24559296440149,30.702848322031436,31.606309832763714,27.692223024411085,29.100785165784337,28.776709515098187,29.45642289923073,32.43950182996173,33.348101970953856,36.872512100383815,34.662127645123476,31.57296215589144,28.68502717608744,27.198189884375488,25.57810453244654,23.61152959292951,26.967661213740612,25.776501780416144,29.936062712103762,32.47039527927511,37.153700554270586,36.87098508882982,41.00777857835383,42.32699827132349,42.73412050433159,39.37470925281136,35.35684564752183,33.41716107642449,32.35615631710893,30.911837012104257,33.72914833957269,35.14787116478557,39.651864565227726,38.42349740607743,36.436331690301685,39.668879981880096,37.511291861782745,34.63313778100907,33.36672085596323,32.94115701595692,29.331426342509296,30.34287475327286,28.208849836340338,32.042717509970224,29.133292221750473,30.870491627576936,33.19702000154135,32.258146013023655,33.75892433555292,35.05210483807972,35.71198552910335,36.59725439014169,38.96930351727845,37.722631495073436,42.03953780928421,43.17237625645573,40.71291594271715,42.8452501875429,44.598614688839255,41.76490568177629,38.418144746722575,38.63515779774954,37.06054456202955,40.57194678199938,41.444571218555346,42.081391905941366,42.54232071548758,40.7030879788633,45.908334140715496,46.02674860804068,46.86286370779139,45.74165700499157,41.83599357790969,46.42509706466392,49.10541541142925,48.551903244536135,52.35483597268502,52.02905542528095,55.0058531199469,51.44935208795596,51.19502440147258,49.03720805552528,47.72130342823167,48.58067756361344,46.0652876975137,45.72475122212575,45.223346078686795,40.3875145825357,41.13388725508578,37.84318003520799,36.24284042368558,37.82566555031281,35.84391501040814,32.61103344210503,32.99638319405555,34.47251850631602,30.167726866357828,27.606140883231383,30.68303966503755,31.192637061408593,25.286142210620064,25.855077431899907,27.747412510704162,24.39078979947861,21.452750383762144,24.743124948438624,25.906947487754994,29.907536073219585,31.90257828240325,32.6936720693544,34.86180824959425,40.18315332619237,42.992824866784105,44.98851096422253,45.231880749746445,45.55100655574909,48.19882458442449,46.21297205407452,50.553740888438185,49.168609672895464,43.70816220069661,46.932014970324424,50.2831143497589,46.18059509465563,44.53417475747627,48.20215892970746,48.036211873645804,43.59276025337845,43.49806563180912,39.802719961221364,42.18417115472794,44.66995731758091,42.77931879411699,44.57094987976829,45.91429215652864,43.67786745053067,40.568973022776085,40.877212349294545,40.76357620706938,36.713792021330136,35.36407541432836,35.88062745669898,33.35630474120731,30.810771365551194,34.761828417487756,33.80130478254809,29.023215585627437,31.012307098645373,34.798325939515564,34.905203302600476,38.46982366928775,38.672003993365884,42.4939392525969,40.08288711265506,35.49827594041259,39.96484735205131,40.95896309681923,37.58263017603556,37.575496114927056,43.202093933449675,41.24548049024299,36.743204201604925,40.11402716918988,44.140187302501054,41.51122801139961,38.04238126274004,33.35303467230155,36.66835705135993,32.32971381811023,31.7919472372488,27.12427024760824,27.582851066448658,23.146575322452232,23.092570730868292,26.100999639241223,29.488078143819976,30.875889181543666,32.021208229790105,29.038738402455653,32.54773395388565,28.815009329780544,26.423686084663007,30.144102401270356,30.92612955470717,29.737323265931256,26.383517803322732,25.527217474152128,25.9841655934492,23.473849622815166,20.080910628478442,22.24684781268709,22.647696730331763,22.10134522798226,22.77505781394556,24.843495636844494],[18.003778683265576,19.34509242554058,22.996345733443285,19.487291135557253,24.810619933336763,21.223510695476307,22.905218331274078,25.326533124523426,22.386045788781757,24.225881122949097,25.038508858377227,27.404136291801642,29.395875468897184,26.367541676269386,30.45051421795917,33.02325365429255,32.63967227597202,36.223248103101795,38.33426864828476,41.7049851601491,44.61710418506885,48.96499406198668,49.05343127836815,48.70649053444733,46.53828830100603,42.1331696272274,40.75300557555178,36.99907529829219,37.311039474867556,36.80945127757186,37.85864266618259,38.19558449903094,40.536217571073536,44.356701621576406,43.22670938806263,41.959304258766764,41.77402148351427,42.9370457042599,43.1904325204919,49.050559946425366,46.24851330928919,46.1172008491001,50.53091510751994,50.53139734181407,51.551533702582255,50.44322336099419,54.14270001592861,54.17840344802422,50.61915929102939,54.51161010482955,56.77992791491133,57.54364284505286,58.189926753664594,53.2059308544307,57.07464091888452,60.0315290265642,56.17158013334345,54.386457784194334,59.09746665843495,59.94932821982128,54.96894199800403,55.49055734664484,52.97172632139593,54.19217694549219,52.72349810789622,49.24844530628182,45.16843969192175,41.958134945604,38.83742755121521,35.758553426396226,34.79091104992808,35.897362202442174,38.19105370318847,42.22365050733269,42.33725577613238,48.555299353923274,48.37285447380148,50.83680897424488,50.74716094086787,52.65664081614588,51.05891473830255,51.42197041359446,49.45059188362674,50.57851782477328,47.75089572000851,45.774381729095964,46.95747500216777,47.129600492499534,46.16128595174475,48.01994797691893,44.983661702753984,46.742165238931634,42.9463093327868,40.85542200072313,36.43317815072885,35.33553489740506,31.393100837675515,35.13415232704255,32.996404200375196,34.08504209059596,37.560404172437146,37.62404109165337,40.378558674656404,39.30994036673345,43.590418590336476,39.225897855032244,42.036292030989976,41.63382382441594,37.580306664567814,36.72799692695208,32.18083859070259,32.60173074850318,28.39001938831709,29.634205613925584,28.64532051524406,29.353203144766614,31.95467962372817,32.90503333698618,35.8721478527421,33.60941403689457,30.496949575926408,27.8027135919306,26.73430436939816,25.47661220159776,23.889809823161272,27.77839811046287,27.104697261745653,31.248279792983933,34.054779707470125,38.546296656061386,38.67370875436148,42.851291093013856,43.941189693914424,44.108403008515864,40.73529182508725,36.523069849778096,35.01103021514794,33.43530302644203,31.649427033723796,34.17412013922475,35.298376071071516,39.602156833586044,38.13264005033938,36.382632325532676,39.5726635488191,37.29691292760533,34.59386653973373,33.357119299370694,33.27689089764863,29.615546228867625,31.01142718048141,28.51947995175843,32.5248246139362,29.384325441526467,30.65746141026538,33.15768406046679,32.12637606271715,34.080860050576234,35.01983229630153,36.278308836726815,37.17283609008877,39.05300515371976,38.040564846514116,42.26344560985634,43.77408504485966,41.42880932481954,43.89466646328373,45.73194770632099,43.17067681436722,39.61582630499184,39.875272409458816,37.97258735340882,41.353003390422394,42.094447673771626,42.49592844936819,42.95930217807353,40.73572089335765,46.05898714604482,46.26141271755757,47.35946037472491,46.39523121753783,42.73803555589331,47.53161052064827,50.2924355887088,49.44396464455898,53.09779990320611,52.426438522015836,55.56200919643497,51.76144013559059,51.86456191346825,49.898277054955464,48.7584191406123,49.88358167867522,47.54248858607103,47.42947547365412,47.20556219933292,42.41381081677345,43.348959350821055,40.289922870979844,38.49482388891261,40.41294495322232,38.25272175661663,34.9395661365858,35.740281595007815,37.28399783373423,32.833798944814994,30.512197637282426,33.78526625428497,34.137906513460145,28.28794246310854,29.13508073626093,31.059577126626966,27.49795672136329,24.81457320080381,28.316802342082358,29.45905073960464,33.46817399433348,35.50357199761222,36.14444637374081,38.34468554474328,43.647971941911734,46.565880520588635,48.46142109334058,48.490793814625476,48.68098623729191,51.18721169744042,48.98396374687557,53.37518585872051,52.204917304952026,46.61924548329074,49.66019308334111,53.17439517106005,49.14304043036711,47.29297507116675,50.834610155324576,50.90568127516012,46.498589684633714,46.00431116939012,42.48240240013458,44.51811161149837,47.123948252485945,45.35181359853235,46.919253814576614,48.31877847187936,45.79643273614814,42.86581267682874,43.395936156036754,42.99529509218637,38.86689802519072,37.89417986888089,38.35560253335512,35.695943418679974,33.43106729747934,37.55537362559595,36.46212597220837,31.70021516218566,34.04062013407419,37.851877206249554,38.05571772056421,41.50394716265793,41.53637995966489,45.47807085292644,43.289266296758775,38.624794826636354,42.982994703570334,44.206650496058195,40.89053483351354,40.672369863397186,46.400636379060465,44.645978109765515,40.03504416206188,43.21397529278666,47.41922743303238,44.91886016958136,41.3727792375932,36.66205314981261,40.08770645956852,35.73653731547783,35.38421476139338,30.585848119934656,30.91920431066123,26.36480686968743,26.36650456725008,29.210247752768737,32.60689935808933,33.775934980026285,34.94875234887315,31.567006828881276,34.85749597568326,30.7843165864887,28.702866494374423,32.14300383849017,33.11378087922763,31.432348489470456,28.24542987366418,27.895512157700004,28.044598816833062,25.0047703289696,22.32100864039997,24.731161542222214,24.67501937678155,23.777309513745585,24.070173842106335,25.950220630987246],[21.467655239899432,22.36617095050136,25.599428052767163,21.367225896885632,26.341760524222884,23.146908010680292,24.230944503933657,26.839633628694337,23.469171209438574,24.522341569339925,25.181685069605667,28.026508476908223,29.54319424983685,25.975156292533608,30.038482721744682,32.80907496393938,32.08672788526017,35.33165682462676,36.93881572149456,40.62435678900617,43.21375508756494,47.65486270291306,47.455831656706934,46.993640877077056,45.12588056452047,40.69190074931708,39.71505716182528,36.1510793466572,36.70910063805991,36.651154347627575,37.32638284378079,38.29178166812587,40.6096630571369,44.11504682593221,43.05338122573258,41.49663125788596,41.758279489177845,42.45498071255495,42.68532936790429,48.65574893057588,45.51219946226091,45.12014930060032,49.56708877876862,49.45643543449716,50.180706508951566,49.059662257182964,52.72430852685887,53.01998916420177,49.65203885469488,53.65454195000497,55.99052515325195,56.98985278901631,57.61196668011063,52.64803914546522,56.67490846266538,59.326154727115956,55.26133481510495,53.695715257791534,58.38455094209841,58.91911052595558,53.852073553590124,54.363165832807766,51.977539012039855,52.7907617742456,51.351983659378945,48.14232714756447,43.72965967652037,40.77962795611675,37.28419482264123,34.40648211401708,33.1019066671944,33.92318148527121,36.60960450301424,40.5306895802618,41.13406130238908,47.345579705884184,47.38352487295101,50.06747812481149,50.117680507715434,52.045782012773216,50.826409012622015,51.223742367904315,49.668261298359795,50.78830520699337,47.748192362941595,45.737508243749815,46.54269355451895,47.025687993738345,45.574498806264664,47.608080968648785,44.29364343786842,45.84708200938741,42.19970519731242,40.43394632397074,36.088420036435465,34.92442001574181,31.045263036584085,35.33164341769117,33.561693790019184,35.28116818981891,38.31713378350705,38.93461541593131,41.22284875704385,40.58757788976897,44.74973507312132,40.57704647984957,43.679782310243326,43.20510345178238,39.324013679687894,38.472902090034175,33.86179366691378,33.70468421398401,29.377186398314993,30.064542954148468,28.573432392560512,28.892669524109884,31.170663257128997,31.748017674296232,34.33577209294712,32.42825577534075,29.169418966410145,26.841544871980467,25.736975115364924,25.044701052954597,24.112871165360023,28.17583832415874,28.401915056373376,32.28589912403726,35.34781129413232,39.7397439188964,39.90332760245545,44.226825997891595,44.91064767071861,45.16563586366166,41.4710737841331,37.13307522938205,35.710639412168945,33.631878247801296,31.398785859873342,33.79452055203781,34.28059135705935,38.43426928348568,37.04896420050973,35.65622298141859,38.96255226327792,36.90470608847731,34.32855230486598,33.49943488691876,33.88658738151514,30.48159786602647,32.44644214527934,30.07873378551935,34.430762666147814,31.566698671449007,32.29702150220889,34.59768353006163,33.170671141597644,35.35046235739897,35.73543276393329,37.26805593374714,37.7016573554167,39.13026163212028,37.88906446660084,42.109475711776405,43.66642492659021,41.08682337592649,43.92956155009035,45.57978597739244,43.30292832725105,39.592364264174236,40.11714685147537,38.058560147185396,41.57529189240101,42.456560701785584,42.876196296526835,43.62736978269852,41.18903419706942,46.689283471961396,46.63176498698732,47.98535916950806,46.79801986338818,43.58973989838964,48.355630039797916,51.04177020341688,49.849173432378166,53.32472659008425,52.387183629634166,55.44944223599646,51.30744234016686,51.665571759662555,49.83132060891531,49.022238418432366,50.28644423539685,48.12602087403362,48.255370701816766,48.25338445118028,43.55742532417179,44.84953085249959,42.0324291761549,40.37280045416641,42.66381255010906,40.653269536616335,37.12845817929202,38.05959695068457,39.95474463085211,35.5335426433377,32.9305827315669,36.54304338602061,37.25172409893856,31.28035779045093,32.13635232835411,34.3553778884199,30.909045780142044,28.02496104832864,31.608403851004617,32.43877679260257,36.80662140809189,38.24989376214716,39.01221532565459,41.4733104823463,46.674615807470744,49.785769000768106,51.554801700014615,51.617615110896686,51.606093759660155,54.05827453075422,51.70231490186295,55.985560042312976,54.86049131805348,49.11526846538899,52.02281276954762,55.47433959583637,51.38062476327628,49.38280311978802,52.74519393036759,52.79697320466531,48.40558865803869,47.58691777034724,44.43688325464709,46.451604322464796,49.26856205395178,47.832288931832245,49.41995655772662,51.10700931123192,48.38820868137813,45.3745177198072,46.308115790829966,45.92564864387149,41.60528722845026,40.81778659783598,41.56462495089999,38.932601598649605,36.633480342797476,40.938519101276746,40.01395650182358,35.26928223251242,37.57269704137694,41.44788476949017,41.4629676883312,44.816297219454256,44.61750621423904,48.53277132289634,46.49246088458747,41.61565764619531,45.790539945555956,47.07780643903185,43.74404186779925,43.19564809972985,48.97040222121723,47.24658858579444,42.435488526007084,45.39490417411302,49.71571427155546,47.19912316957927,43.50578836218401,38.76162523856446,42.081236884428805,37.62592093712719,37.756694944384385,32.81900855070023,33.368283891150476,28.88731361639158,28.449271531522477,31.111448926462042,34.331864245705084,35.420491688083416,36.960472744754384,33.36871200635007,36.610695506666914,32.33183385427277,30.850992133911035,34.42307467965773,35.761885647886885,33.94912407884296,30.568903391775205,30.712826971311205,31.058610142561722,27.523192609715707,25.120063326425303,28.023770539380912,28.05867016466354,27.023917449619315,27.225253111898574,28.878925744728544],[22.33689983353503,23.188523120940946,26.05434398455787,21.835033140517236,26.188728077342738,22.13327278698061,22.658565031189678,24.670495541259218,20.779907901277554,21.67969429189341,21.765239133587457,24.492372085171517,26.419152693514018,22.75418548244658,26.381037319253704,29.317449492922854,29.05171882799167,32.129829736495566,34.032363094519546,37.70830709102819,40.35141589539014,44.87181008777045,44.786532523137964,44.6415738154385,42.76920832024827,38.27260885828238,37.3279842073131,33.65519851302905,33.77647956730929,33.512074385939655,33.61892095825017,34.730961377490914,36.7361201047071,40.23832430172967,39.47964979960048,38.15166012668042,38.59668902774399,39.642993893555555,40.21079398293759,46.30300108262936,43.387493519303646,42.5669748256455,47.00854126967734,47.23467379299704,48.13981217339403,47.33030682335751,51.02133305403641,51.045688139511014,47.86265606839519,52.01187023304192,54.00855841123559,55.017556276438164,55.359716240158406,50.363046040811646,54.06649970128444,56.74244443089052,52.70430465055647,50.840275092343155,55.442900571947625,56.17391734830196,50.97352303635862,51.13486490304493,48.551231862700696,49.442512517065246,48.28279627263851,45.011517534846135,40.503346352779516,37.39201728825615,34.02541960192157,30.834095875848767,29.687324012323234,30.367759153387343,32.8587266453772,36.98965676765664,37.417881416003205,43.53585963338127,43.83354435487642,46.307119781302646,46.598645292617114,48.7844341740742,47.64564632310019,48.40416606895848,46.85849519199206,48.3248062260101,45.43738999257712,43.05826830977834,43.64841988179132,43.81985503238103,42.261669092582544,43.90027036953493,40.51935906722207,41.84796980792703,38.1325101219312,36.32768045450583,32.108838970020415,30.69268120156917,26.96314970758625,31.397316196074566,29.826779431144523,31.66112957305062,34.83930147071864,35.91674087471664,38.22876429440753,38.0822756834438,42.59623262516845,38.73417458994476,42.100296414606255,42.0303184674862,38.369356253129006,37.04586660451723,32.576150297278005,32.07982595988707,27.524405339507393,28.36649071566988,26.312094959792994,27.030809175305436,28.933305721714667,29.976028842498117,32.00466826637693,29.669083301701864,26.60799922677381,24.28487375096558,23.96680229246858,23.326196533608336,22.45495669711094,27.041489967165024,27.333699550177986,31.260221215015527,34.47336412397318,38.52939091159597,39.354004204371584,43.54400042765586,44.17486303548059,43.93809349260316,40.57128855750831,36.110763470395405,35.40115399528199,32.979385149946026,30.702952465584072,32.63143023375453,33.34144081158737,37.20741819206643,35.31660979005998,33.95518303465351,36.98999746339144,34.569538831036716,32.2100583320512,31.09218221419693,31.623459516192792,28.07015584152758,30.181044020031628,27.372527791784908,31.708000531507437,28.645414073125128,28.941771292936995,31.40873747439739,30.047327953692747,32.63697758032685,32.84599183809168,34.99745442127876,35.77146598000463,36.7904369382794,36.1556789125929,40.14155599310864,42.25343046836467,40.19028408597323,43.156357728151825,45.16051879509819,43.110091686600775,39.260362598316206,39.54126411396077,37.10101563889306,40.172647552179505,40.690761057484266,40.72011884286493,41.243908132746114,38.452054075494345,43.917743680556825,44.16134582381172,45.687518289525286,44.93408662798888,41.79571461221104,46.83676064865036,49.683890260354744,48.33093989129242,51.68189429580222,50.445590724299265,53.806876048110205,49.65945089490949,50.35024159350508,48.736727374204754,47.90104777440719,49.478033995180695,47.47730420931046,47.774913494323044,48.069654019108775,43.432807073270745,44.717587091114424,42.16298526384824,40.064834382831265,42.6427542983123,40.2597430976958,36.7923828405987,38.34828576826441,40.113794750482896,35.499223142424114,33.54909100104011,37.24443890993337,37.49455275273098,31.770346959924744,33.12577022384069,35.26992985488269,31.479074791391326,29.168807701940516,33.143747946906544,34.04279806976688,38.24935029439732,40.09262143954859,40.36181724782391,42.74283330953605,47.90805500509271,51.214884644294706,52.750490294418285,52.31435948911406,52.118522148902485,54.301809491568775,51.63392487099108,56.03239329188907,55.306182762109245,49.45937685087097,52.07879055571175,55.864329173662135,51.99929876195538,49.72607186573443,52.95769978815404,53.51634478152889,49.230995475602434,47.90397285918979,44.795892441105444,46.15422005679079,48.998676184090215,47.5768421206638,48.760684171280694,50.40219125755026,47.34414287635662,44.676327791348015,45.792471773711846,44.97653070543744,40.650432829944215,40.38569688631757,40.981407378234636,38.1944963670547,36.341322729362496,40.837481304072455,39.73924503089037,35.09424769295207,37.906119182181264,41.79174747028004,41.96780910032876,45.08482018023262,44.638735868367945,48.737886871664045,47.093968340252346,42.17962872640047,46.18958063879155,47.89487134886068,44.729899512860605,43.9549919630261,49.85756788321614,48.59518435603375,43.73462961708915,46.420365886273046,51.01323411797505,48.868273034539655,45.16488350547593,40.46082997595127,44.20020039789944,39.92321972171285,39.97623730732318,34.87242626786436,34.85180585818148,30.136510857459765,30.282638182209492,32.690947763757855,36.08250594157325,36.71685521847053,37.89002019465933,33.776622047485766,36.57984649024066,31.983648595968617,30.61365656917673,33.56733488846916,34.992933602876874,32.57438766771203,29.594491881106975,30.27029951035281,30.12813104777793,26.130808379550125,24.691117339559547,27.72464637057935,27.193946973729492,25.804419568899213,25.62436042643795,27.045031304913213],[26.277515360987884,27.305745552502152,30.484800304287813,26.185764701655724,30.869809661940355,27.371020471237888,28.021515839602436,30.272625332763187,26.41115868344014,27.035087932535976,27.084262057443638,29.974409552734084,31.679218733528327,27.727012198326893,31.264791329465055,34.32512720310763,33.8046655412417,36.57113926536807,37.92988577255881,41.89932579085015,44.181166092365906,48.762382562407296,48.34131944980557,48.002846099113334,46.482701192439094,42.003626444120165,41.46565027286738,38.02321642180697,38.43172548354124,38.52002922220425,38.31434725438715,39.87732526230767,41.77953080678838,45.05301583493631,44.41916952497476,42.90458366222668,43.664250775386456,44.33283885877957,44.811441944743855,50.926682276238104,47.681348165021994,46.744716476494354,51.19066197563627,51.22687181125743,51.773650350278274,50.84741128932688,54.46816888175674,54.855734343990285,51.81045636533335,55.98071076918032,58.15540432878246,59.360152000486856,59.76636276332534,54.82069793363336,58.71193386598438,61.119802133844985,56.909356505574415,55.3007948424043,59.87622884770943,60.286743820369786,55.04150554828414,55.20726238959504,52.76011865847385,53.21541233714071,52.108795818346316,49.1395020879418,44.30312513463586,41.494416852933014,37.74662544986106,34.78958050415385,33.273031120531385,33.490789523620485,36.44620153567994,40.45494491014288,41.43191368815248,47.45884113545266,48.05955313813144,50.68367284788542,51.14657982299231,53.353641538064295,52.517452605315874,53.26465076173739,51.99753229724646,53.386091144868196,50.334635601586285,48.03078531512135,48.379535017289605,48.8009124057182,46.886503664888,48.61072751033176,45.00385652334744,46.041446523139264,42.467013056201324,40.936930176133785,36.88148874271331,35.2893016853185,31.74813352099548,36.528125099102446,35.19741684741561,37.19640839866991,40.30410064900602,41.56562953016778,43.73297904085176,43.6745181317852,48.06136237475607,44.17391878091022,47.52645655352217,47.266876738314615,43.549072246181346,42.43842774703691,37.89654525921177,37.36658631880452,32.868791440322546,33.39763200999504,31.270469547387993,31.579786083550175,33.33364629323012,33.875048371115696,35.66946301267857,33.819686890694214,30.617815133190984,28.67822562343351,28.089882719492532,27.8842848995841,27.406249934436953,31.81107172969134,32.449941376219925,36.253686860947866,39.47997238793873,43.65701363629192,44.15169371522685,48.46672669853888,48.958910013917546,49.01043988452172,45.33879497216362,40.89030909077007,39.82924770769509,37.343545644039985,34.81736532348897,36.88429955409146,36.957326671514295,40.79433916442261,39.216708309692855,38.16766212054098,41.377129212608295,39.25838634260686,36.94307659160624,36.183989413598894,36.921786516906984,33.53622208294481,35.780092252216434,33.070729455577315,37.41542855194686,34.26768078270988,34.567859012725414,37.07513820058927,35.653488073918915,38.27023839626081,38.312674191828215,40.44795728285334,40.90426503977789,41.78918275693441,40.80167987253942,44.85239592172128,46.76274124707628,44.287433958087256,47.43872946048726,49.10189224294472,47.112463907498615,43.26368494778145,43.858536429764236,41.541366754368674,44.901233100813194,45.652455121653944,45.82811505182202,46.56428029532468,43.74812448075401,49.28738321849455,49.33630290038644,50.9511920223577,49.9418690066905,47.01788113986544,51.92684956658195,54.66197183202415,53.18942413194826,56.48078381888815,55.18598243639799,58.36710557325585,53.985261045340884,54.71949025347598,53.09789132574177,52.492242977705985,53.986633875942694,52.00691639074152,52.33585863821034,52.555755668359694,47.931527600534075,49.35730447779499,46.710420485077954,44.92567178661482,47.398127958349015,45.25310175747398,41.727336297869364,42.90455235278029,44.77871269119177,40.27920413341175,37.87401425299419,41.5187391345965,42.05034906083571,36.164962265116806,37.13976181255068,39.275149782552205,35.694967835618215,32.9933164858032,36.58810292504462,37.51126086130145,41.77027634495702,43.3564323161286,44.09178738414831,46.50111117010096,51.72430569297685,54.793648879974235,56.58904024597034,56.562572099033076,56.53740617347001,58.91634958535264,56.45609958311359,60.78456715759113,59.786867408363236,54.00040901821395,56.80434763693332,60.35593334282175,56.311389001940704,54.21098858853976,57.490985044633575,57.6767976668688,53.31652465807972,52.27024348405867,49.240810388485414,51.02143527155527,53.893479202575215,52.50279949053462,53.910139515224536,55.566168495629555,52.669137064883415,49.84070569617691,50.84242491261501,50.21835979940963,45.9185375889005,45.3822701299762,45.980679414494155,43.2413267565799,41.18860507312785,45.522144084078974,44.41675288958772,39.694420212553176,42.24266622553563,46.08929914241338,46.25679068095911,49.579577661351244,49.35629450103374,53.34893962483291,51.390538335418235,46.541911008181295,50.69354796610518,52.08301332394258,48.77998038958109,48.18859749049803,53.99573379206706,52.34090898489937,47.51236567806239,50.40168877735557,54.77933392413084,52.29186984287004,48.57772835157075,43.8322323801472,47.12677359060611,42.646759379757334,42.84458472505945,37.916636295561126,38.46660937541815,33.95796654881997,33.532500189799364,36.14403683067195,39.33098739257987,40.350728563961944,41.9193236923974,38.15179098183749,41.23839694530208,36.78259860787206,35.47718353361105,38.78532844776867,40.17573877426317,38.00508923681886,34.86233238789585,35.26030369562739,35.30042132264275,31.54604816268369,29.6514749443511,32.504514559819384,32.1424828392935,30.887055251079246,30.758708358070646,32.236697080268485],[22.675916139033692,24.212977183880913,27.9198300544857,24.362032645719573,29.561717886060077,25.802463721238894,27.174207076969275,29.34239055338312,25.959972961476335,27.465228169678845,27.76835622663815,30.19056814270429,32.39798117384624,28.987232377932877,32.68435356446743,35.542037569610486,35.317441060731056,38.531418269833445,40.41783980313859,44.07541992198022,46.73043593275369,51.22509351858083,51.102065321420575,50.82188213971643,48.9547409936186,44.48319840909742,43.48234974784387,39.814254733396254,40.03893215343059,39.66931550296357,39.97321727784178,40.81779076106702,42.80097575547132,46.46467989192815,45.7078648836796,44.47289470719347,44.70610190896753,45.84085884820427,46.283706790104944,52.29468431976326,49.35945265112817,48.79561330323337,53.23697350930019,53.32665484021213,54.167895833601456,53.177383252359256,56.85463508588004,57.017874761635824,53.69732193363912,57.737086342859975,59.924077567710874,60.87152923460331,61.36473031538356,56.378330697484806,60.17758060533241,62.935754735324466,58.92874021158721,57.12489015253813,61.76392560123425,62.49309714460229,57.344666417431014,57.58899853148991,55.01246694370396,55.91757749100843,54.71830227378994,51.443089313618096,46.96451978458922,43.8657166997537,40.482549196418,37.31770525660307,36.14018259377834,36.72350308115747,39.2917090314797,43.432294032034925,43.88746466998906,49.982344498214125,50.29735485997732,52.72090260705591,52.99188055502653,55.14852818316743,53.8671549963713,54.51674700842802,52.77193647706977,54.114123745838704,51.25492135202525,49.04479641949253,49.85836915025188,49.986427274556895,48.62164398293537,50.220468838926536,46.913803797770434,48.22319858150398,44.459283278127394,42.5456639135881,38.3462648514945,36.83790612716116,33.16051443747554,37.36030916416946,35.57142056071035,36.84633035607545,40.48413758295809,41.06657839157963,43.77829211258202,43.15714591956432,47.64245815546932,43.46757780527921,46.45722269766945,46.199254279405366,42.23464752307949,41.2103305938605,36.69486882554341,36.85267132336083,32.48186515310736,33.581799870848734,32.07289300677804,32.7259053496726,34.93823233502967,35.797739870786494,38.16648713589786,35.982128075057155,32.85078901694113,30.463393944699256,29.733910361631015,28.902542633375294,27.71199013937508,31.8959824165225,31.58701948491065,35.68399421795264,38.6238247545176,43.00011180453579,43.313535009143465,47.51326377941357,48.46486022498357,48.529137253671344,45.12081234017718,40.80969893083009,39.48265434464362,37.59231001563011,35.52500438596241,37.86237185151208,38.57444821759194,42.68637585894324,41.117116633413076,39.65725525667267,42.8316979838545,40.52639845412507,38.003086049025946,36.84659017941416,37.05610856757016,33.380678862304585,34.99897824801181,32.18341613711562,36.163173587622865,32.66384521472051,33.64754730014318,36.40816283905043,35.42197469809778,37.75632854815315,38.445537926128885,40.195087704819045,41.099248959838285,42.56543934542476,41.69711089717019,45.83301510868411,47.586964647898206,45.23022209605188,47.96356183603681,49.75261232874496,47.38706136704588,43.717323286559065,44.09084421226911,42.0147718107512,45.35061466251906,46.03061960133924,46.264732807080065,46.72814614391483,44.1939870356976,49.575489562958914,49.864562803283185,51.17101089254923,50.319976276130106,46.87071566284543,51.776803519378866,54.57038033412695,53.50696948975609,57.03767433740704,56.096218454858594,59.31130173087006,55.2823501058101,55.665480579634874,53.83889907001876,52.873632224839724,54.150088500208525,51.92715208293133,51.951784208796035,51.85642397315148,47.09941883832099,48.139712841432626,45.15660440555013,43.32510499021138,45.316627488298266,43.08690781069293,39.78461547782981,40.671192546653614,42.177587019687905,37.69631762843315,35.451533255650574,38.68634388452986,38.91534206793838,33.1352641033176,33.96341873476475,35.75729510154717,32.14774277810257,29.551310682226305,32.897951761744885,34.16873752185208,38.02069509078269,40.18242534357379,40.93658660487559,43.050118381539924,48.39298122317116,51.152038739844706,53.17508581516989,53.254348118791505,53.52682288625605,56.03833658270983,53.83958355901243,58.264295162044405,57.111721884216166,51.54485913888622,54.574187769898266,58.11015558682943,54.078492232428225,52.22054379537227,55.7376267308645,55.80857120661971,51.39978480466598,50.85213075079587,47.39658852107671,49.36429911284775,51.99263277384003,50.212414585096106,51.68469972094716,53.00894332393493,50.41392142784416,47.61456476010567,48.10045907351962,47.53820957402453,43.47234804121664,42.61576506054891,42.89319933465443,40.15097881685351,38.06484881809715,42.119849810753294,40.830910229744305,36.08354805847446,38.56236229254024,42.304913761040986,42.67897997537708,46.17051784592737,46.293555991134845,50.26613574736841,48.02703686165784,43.46028010761567,47.86346195703633,49.06193925096191,45.73899557658686,45.59707056502382,51.306298584772314,49.47980950518046,44.90461579047691,48.121486450327716,52.282440725363074,49.697550020656585,46.157637597309495,41.44112393828914,44.708274406286726,40.282368919364096,39.96779596112536,35.265353157283776,35.7635138728992,31.257991346443788,31.125435574338344,34.0095015199766,37.331369437798436,38.57790780205704,39.85594709828397,36.450964779859234,39.70267606609928,35.52830916359584,33.55149382994499,36.84457319657069,37.80235675806778,35.883930236070825,32.88870651353531,32.63538918505291,32.52782428097607,29.411834158306306,27.05392318058549,29.30229432273008,28.902658374283764,27.84374358288772,27.831144131184967,29.594507039183743],[23.231787907572002,24.559503417332085,28.25849142099307,24.473745140255367,29.83656347871369,26.796383124782604,28.26233380803281,30.864015342656412,27.67012915421619,28.965942122504728,29.59384135354306,32.281446742524466,34.01124585475599,30.494400849242457,34.48120805827051,37.281116123661654,36.63146505519019,39.85121359032255,41.39369304117883,45.1331624937262,47.65910279618455,52.114653081434575,51.83908930161039,51.31628140615304,49.531948895494615,45.108005741256505,44.19816948936695,40.6691120590919,41.256561240282565,41.17128492837354,41.765690206641786,42.711990491153145,44.93185963198231,48.48543312443496,47.51433879232616,46.015502303717106,46.26457328959435,46.999697121385886,47.20613666927506,53.154864634759015,49.970714844223515,49.618608908989614,54.06401393351649,53.89448974916974,54.53261928020352,53.3370858302223,56.97786420874537,57.3895722450248,54.008471135769916,57.973674143042665,60.40006939602093,61.4082458602312,62.08312338402759,57.13389330473141,61.197982197157515,63.840790344440194,59.75991720922838,58.23286318234201,62.92087825044065,63.41553728662356,58.34458967620522,58.8386257324535,56.448237178837076,57.187194151612324,55.78966824261992,52.63345212761474,48.14237058325596,45.23126766483647,41.66614954550043,38.78049769344128,37.40956769249131,38.044646767530246,40.83955456654713,44.790392887221635,45.49497366136384,51.66264624997438,51.831248993395924,54.48141513073275,54.60646793384256,56.574527841297474,55.355939462767815,55.757252497239215,54.15100418159675,55.24684527444694,52.21647384103223,50.25021237926968,51.0880688732147,51.540854055090236,50.09828245291388,52.05002215816248,48.709064994162375,50.14280974921109,46.47731060085586,44.69738826230436,40.41405790811536,39.09845995844056,35.308157697760215,39.58764704532224,37.78707524120141,39.25477910282174,42.57333326745328,43.045765975843494,45.53704576915858,44.74707084595481,48.92885861405993,44.63489272997117,47.55710742198902,47.00387562504803,42.9845773530881,42.272456690289744,37.66335549296461,37.81292753782707,33.57191207579809,34.37007286917534,33.05490348834923,33.335853571570595,35.66937723265363,36.12881104555786,38.73533269124387,36.93042555975643,33.64694818351494,31.370281395803254,30.160436570048564,29.470122068524194,28.460607452738632,32.34420045170642,32.309855379761075,36.25198819689597,39.17022853064382,43.69682533850727,43.603042733482795,47.91990163826984,48.750383530042306,49.16112765916086,45.44350235719269,41.190469623532664,39.463242238584776,37.631650502824996,35.46930462633166,38.030037915060205,38.41352081725401,42.6319366149009,41.41063449271279,40.041603040638996,43.405747804581765,41.41109484690566,38.79959649054765,37.96688688987526,38.245505262839444,34.77947464531857,36.51969958846759,34.07565836118113,38.21936567307528,35.046513595214485,36.07405141283172,38.5886394252029,37.37577759482451,39.50502624941783,40.09133130144506,41.518684060551834,42.025510284495795,43.59805451415632,42.26689707769986,46.535051212285246,47.939866910699074,45.19665228130256,47.95670323316616,49.456505620270114,47.05455570823881,43.4437746045346,44.0504640728731,42.17336083457666,45.81501270369081,46.77244390713551,47.2679344172465,47.98620483209955,45.62177248243155,51.08091462293129,51.066576395568106,52.34405708266005,51.12518875330206,47.802076394038025,52.50077403361712,55.15304885176233,54.07953970464228,57.61720060258245,56.787506740872224,59.77231293881682,55.65052273963352,55.89648474620223,53.97698291515997,53.14134990325748,54.261102926117836,52.006877925936124,52.00914366566981,51.80695294362685,47.07026546035432,48.24220804291709,45.20317127939691,43.71083039134167,45.663163050697904,43.74734228079386,40.335798456635644,40.87779478493221,42.61014204916555,38.29183755671316,35.53299608640598,38.83855821953702,39.52463262557473,33.56940984086765,34.084070327874635,36.05587133278473,32.751303428054484,29.719042505861275,32.83628208144114,33.90245561168163,38.00439459778171,39.622717291217,40.72522758919384,43.00190245790446,48.29180029391916,51.023164264896515,53.114153130234975,53.5202657319355,53.807334225222895,56.45570572258422,54.3922998060115,58.67898587525099,57.29580855720299,51.73898921894482,54.882467432462725,58.16821579318195,53.97895512271843,52.239358147126765,55.75285347034032,55.49771804435185,51.04792528940561,50.692696685842535,47.372257770987275,49.73685330779476,52.42509112117287,50.788898854049016,52.53018566119369,54.01824931114659,51.5642704830912,48.503161072529245,49.060617937335934,48.803361941341414,44.658507160652505,43.548869365857605,44.07745703826871,41.47007203467421,39.07393489480195,43.08205234040843,42.01910895891982,37.24232900927346,39.34463012305347,43.10114561715845,43.25743857840861,46.8330817752718,46.99309817851235,50.81834709602048,48.41089189901282,43.780066062021056,48.17993474628092,49.140622225723796,45.71869820469287,45.569013751653564,51.194173448421566,49.105257156992735,44.49523679942068,47.77205884409914,51.796396023687336,48.988822624789655,45.41202507255383,40.68641692859851,43.63892320177572,39.09310629244903,39.02292968596294,34.39863685112795,35.324978653975606,31.036304450310205,30.378345604091162,33.31552267434023,36.43565226704928,37.91752927077935,39.54771030787734,36.40979820904185,39.88850948213351,35.86505183467659,34.07028447188911,37.78614496156865,38.84842551457145,37.282900167808535,33.95393333383287,33.58455627368685,33.900068126214606,30.871304543283355,28.040851174594085,30.431464943802933,30.478368589994687,29.606212309618222,29.840908404033865,31.635599937640798],[18.24947564448684,19.98911183294776,24.146211467897352,21.253677948086242,27.042106298147576,24.041519254420354,26.28512491043239,28.890338662001877,26.439245299381014,28.5542465752475,29.603568920786998,31.8374974670018,33.81390754575746,30.966447555939453,35.16951547984412,37.638088823181995,37.15029502865957,40.83888067402314,42.872205129120005,46.20396390357895,49.11842717893874,53.40788376061064,53.46576521826696,52.96237796493439,50.777698086241415,46.42613294433963,44.986004227025724,41.28042512750619,41.75977744233723,41.256821058832394,42.58876135196874,42.729037608201615,45.156227781687825,49.05380941951802,47.818564953873285,46.53773941699317,46.16859709765435,47.27758248313652,47.36040311952343,53.09765169951664,50.25261881886063,50.40817104773194,54.802845769968684,54.63375053934694,55.588124983291976,54.29432437486373,57.96707956299012,58.13422309790675,54.44017174583011,58.199649441563125,60.66041938324576,61.36305206795383,62.182029594243104,57.23361227743898,61.23314381364767,64.23942420110292,60.416433763936084,58.751444402405255,63.50103744954471,64.30934365163476,59.42102417520822,60.10535792143283,57.65220719426742,58.88641671149899,57.30053571557534,53.8282460707393,49.82870502803326,46.66392620132101,43.52568094209015,40.54659895375534,39.53663494297816,40.661765418028864,43.025368083435986,47.00216968184746,47.15029110423744,53.38844526302505,53.104716117235796,55.60067573009013,55.40441823988436,57.20261813276089,55.484937703421174,55.66345630267441,53.57205306074595,54.51105291175282,51.67644903537108,49.923748832788114,51.306860624948314,51.54462307837796,50.73952485170083,52.701189631010635,49.74610090426965,51.587356195253236,47.78651686394804,45.64665486992262,41.196513200101826,40.1461822096768,36.186860679017045,39.75019933084065,37.454890050374374,38.22843701804147,41.8430231285255,41.491403963656204,44.418478268927736,42.93734068684257,47.03529046116334,42.442888403783805,44.91105774224301,44.27142395982823,40.02743256302387,39.51922585915915,34.987397954311824,35.88139523515468,31.929539985593525,33.248255906016404,32.7276628391614,33.292996107104955,36.12858007833726,36.8678512273354,40.15687167202461,38.080914984181334,34.908932545781475,32.1970349431032,30.748765936939325,29.391630855258107,27.65585146645388,31.081830976748144,30.053552412672218,34.179113705127754,36.71668724213622,41.42290909654446,41.04213641276753,45.20126372480525,46.49798919977763,46.98973932365843,43.54570389025572,39.52387658383848,37.46645186677215,36.35315403469703,34.756174906293474,37.597898519863506,38.6876068088121,43.16410877669732,42.01550097000547,40.199894739843195,43.50306830249435,41.403886295975646,38.57541495410394,37.40531587558485,37.105581405413766,33.48334226801323,34.547910707100975,32.24920344036617,36.00693974035198,32.78898885002877,34.525364864648836,37.06753641485305,36.212053717585455,37.87183816927177,39.10711363362606,39.93535836579001,40.791384151907415,43.03074013973493,41.73175390713478,46.06347009999699,47.19298746666211,44.57170716165291,46.81656684031122,48.42040366575914,45.61741165556935,42.265451923885855,42.62743821263745,41.079469551058246,44.6895166636083,45.61724192368203,46.24858185658562,46.73897124443647,44.79458479312116,50.03797638510918,50.17073264106135,51.074586704080005,49.93238825286018,46.09761206660342,50.678653582877125,53.33519919505222,52.729218236929526,56.50482588337031,56.11467064680724,59.058330020754376,55.374028428908005,55.18265993226556,53.03381900772999,51.816677357802135,52.65406500929683,50.14698372610465,49.80940897767307,49.25216424361896,44.42536397819541,45.186850865593655,41.819035700597276,40.35265155814764,41.78113219111657,39.87512997557202,36.70512232336056,36.867510109511585,38.26298298508336,34.05263643245929,31.378805846036744,34.250351874234575,34.750907136099755,28.91306229917519,29.213812247362178,30.89657700544619,27.67834931578288,24.662875151744508,27.49943035744127,28.83889333114438,32.59904715545442,34.67131596122143,35.78365533509477,37.807782984750574,43.17143834022905,45.65188972718267,47.91461128420518,48.439719990976336,48.97911921360187,51.75746412543449,49.970947405513996,54.29520282794697,52.737169811463296,47.41584878082852,50.775022564092566,53.992383716711046,49.82250759761618,48.34294116181491,52.07076312819748,51.67980404640978,47.20759463647423,47.37568912322041,43.65718049237142,46.25259369393199,48.6825102605847,46.706655359828936,48.57186356203731,49.786826656597945,47.689960767539475,44.59186278638553,44.67727449746295,44.59838831202061,40.68127489887741,39.18098806504678,39.512082269616904,36.9903047491805,34.45286843154909,38.16309691365697,37.05548202999374,32.288451629295054,34.160959006174544,37.81946254853819,38.06820464033676,41.785117874136546,42.2514758798541,45.99681981177125,43.32541073157624,38.95098998453828,43.54961171561125,44.2964793337942,40.8640647684919,41.12911586436977,46.62093600533061,44.37648405083465,40.02587607441307,43.59553217414476,47.38948295803752,44.5186213967854,41.12862520724134,36.46626484490937,39.412591172408845,34.97802697627206,34.380822834878536,29.995325787900942,30.842490394372064,26.62640183340046,26.267314068780127,29.440037313905382,32.66860034429577,34.35418213308387,35.66669337032176,32.97988342575563,36.61331977228107,32.99331358173556,30.55522706803502,34.31680490033547,34.96112517781021,33.83089117942955,30.572773173399362,29.496826167716915,29.852581311730184,27.581889800048693,24.127792167225426,25.923192769709424,26.186112666191136,25.66156974160077,26.199204918138346,28.269110532617212],[18.206339176109825,18.88971246435648,22.300777591925538,18.263860995671603,23.77793944216665,21.752104699484565,23.545398755252915,26.787935518938035,24.323412056043622,25.71897018050645,27.187619652391735,29.993683799841865,31.009842999066404,27.908673202779266,32.503286587404276,34.88045704825403,33.70226235794865,37.32509863713894,38.86650721653386,42.27874903320082,45.009261865167595,49.223985503117994,49.10840500651735,48.33379947927162,46.23873788044625,41.96208748904612,40.65401388786205,37.15783920590284,38.130358484823454,38.12287345771524,39.81981557206108,40.25046701044318,43.054306226193006,46.664452925880056,45.090567584624715,43.35426861472945,43.12262795121392,43.56116599758816,43.35357095366905,49.03344487796246,45.839866895961485,46.176656528445584,50.563242575530055,50.0964643793024,50.81097135274909,49.33121880724739,52.95984370082224,53.38146948349175,49.678393832071436,53.39367217912046,56.07856789882649,56.905666311158114,57.8959421096495,52.99727071791463,57.32555906121892,60.109778064248005,56.172253859862586,54.87791055843095,59.66989936831432,60.14410237538586,55.3563477203854,56.371347825604786,54.20057579817319,55.20508199933735,53.33899566788549,50.03829464824895,46.062308652038645,43.17267035950239,39.830124034031876,37.28541250394945,36.052397753716754,37.366976922940005,39.94572530422885,43.59414320348424,44.049060898921454,50.37804891758791,49.82620010419788,52.67878337281223,52.25549268456713,53.76921271609152,52.22933727488885,52.0938998605274,50.34597695072434,50.988428237769604,47.87557756980374,46.39090397542904,47.6768278885332,48.43634115817512,47.41325627382627,49.93743580665093,46.91796011790592,48.97847005295005,45.37638055138225,43.50653728165592,38.94158886756263,38.2747652077906,34.14203830083844,37.90403987477053,35.73438105868972,37.173342281578705,39.953506701069635,39.77146558349676,42.059091680341574,40.650888100381394,44.289163003800155,39.73579910247785,42.39931347320031,41.43456187620866,37.323622448646475,37.07836005883663,32.40251608568088,32.78591103063301,28.90417416805918,29.554880171677752,29.02663761560631,29.044045986389335,31.91390406319977,32.163219813876374,35.67148605739821,34.07483383896235,30.74298361689933,28.216046613971468,26.218276422229362,25.144005345500968,23.863317806779023,27.056978856446413,26.908318685851278,30.683943214279353,33.41958988448118,38.15377549655706,37.51931362443581,41.893244537507236,42.746769431120946,43.55283122452412,39.6302464685217,35.56076114904434,33.30719789558005,31.88434136970489,29.98970234754731,32.93845468085312,33.56928211603403,38.08296019854887,37.25348702981418,35.60738509248245,39.11223218529214,37.417758182174616,34.54948949507528,33.9114308865688,33.92464161363135,30.731004068208993,32.338362192600265,30.656616861873164,34.931127556846505,32.55731537544641,33.84944181112995,35.78736939928207,34.31320577473655,35.81351828993394,36.54893708477711,37.131929632502455,37.25953992724713,39.37361155421688,37.50324344599443,41.946691178603864,42.77988003151541,39.766030221324456,42.22044614832908,43.55614673864456,40.90695972002511,37.48218883639772,38.13591457642478,36.62574675851183,40.543468159600124,41.793452204523376,42.69349430147905,43.62668217216314,41.77706692781522,47.19333858091174,46.816649142991004,47.82945680770973,46.181802722982724,42.76360720367357,47.1319044282878,49.617905067148335,48.77167345119844,52.44257648369857,52.013646209107144,54.719032767897836,50.812602757269175,50.622942665133564,48.47808169361327,47.54537559122496,48.36903008943637,45.970313458973166,45.81248937952018,45.40218570497076,40.66501650091058,41.851507262153014,38.73229758454206,37.57027166300554,39.468934860507495,37.91975554347879,34.39323081736556,34.59169135588345,36.61669914335236,32.505962272687796,29.20515166185414,32.68660361572849,33.96759050214692,27.8221329317587,28.12400691156633,30.484622244028678,27.548326862522902,24.04440515090722,27.20871446681494,27.826323580609518,32.422212148159396,33.29360663777523,34.49883060673847,37.08063804332489,42.22716231683697,45.22024537062431,47.12314038823743,47.6660841299656,47.786397104937045,50.4889422792033,48.472972153197695,52.57896760897535,51.04264127908571,45.443858428446745,48.63146289800214,51.70027495190414,47.40619136847032,45.721754348150036,49.21492659002553,48.748249408836,44.28196502785161,44.053157287692834,40.82663696396356,43.543007290570465,46.27635570876745,44.83700351652062,46.88237992482711,48.64403865685056,46.35078250241868,42.93866805935057,43.70227141274714,43.87566423103605,39.58549888819683,38.20119779514069,39.22438613047085,36.86054836935318,34.02820708515434,38.10265773124497,37.52159527068282,32.7757395123828,34.390962049397565,38.231407888507256,37.94697691088318,41.45983285035054,41.45027341266604,45.10302903453048,42.714838023619045,37.87054786542257,42.12742543667129,42.981878499238725,39.514341112184475,39.157902002445645,44.74994566992349,42.609781639553525,37.87559537284087,41.07226694215693,45.097959759926965,42.27141352218317,38.61952215579744,33.88376675394228,36.83904998458495,32.28451826278862,32.46336320965841,27.697500963882955,28.75381512837678,24.600361490962218,23.594896736507106,26.463278878145513,29.50201987583592,31.022234967684334,32.84920619773808,29.90558366477857,33.5775356361558,29.798839440814636,28.157523741840546,32.38019828711515,33.6114222445509,32.6178887823998,28.794228131290314,28.332593083392975,29.359914488176067,26.448480249742236,22.95406935672208,25.74467878050703,26.616221278725114,26.089079068256616,26.861248031063177,28.727653509213955],[19.056194715915275,20.187902578497706,24.095113104337752,20.99440927254643,26.875820541514713,25.391563465991894,27.786851230325958,31.0779988831878,29.11790572580868,30.903408031168787,32.528865367529214,35.104274459492146,36.25127199021306,33.40120226585667,38.041013437783114,40.31315493756711,39.13870164488133,42.87565402758366,44.415851808490295,47.74263605311703,50.50023688869202,54.63538492185385,54.52104448561279,53.61359926943576,51.48607850853455,47.288594052232774,45.88820069755074,42.43463166625044,43.504559491729665,43.41756630948473,45.37525509905509,45.54368263758977,48.39618961422457,52.12670248368373,50.47365912225384,48.78660791067669,48.32867630022966,48.798582540311806,48.44071914922558,53.95720054773827,50.785072269325646,51.42651784031274,55.76991301907428,55.1535062083034,55.82917513922212,54.17078536289145,57.75275379125977,58.281158626405414,54.442543422096655,57.98371806377754,60.846381561081465,61.58089240565832,62.74587380158317,57.90369959028471,62.322864118066526,65.18587183544574,61.323125749268094,60.12204393253768,64.93887133464372,65.4070681962775,60.73317514215977,61.89529501036444,59.76895412874946,60.82977371898431,58.86411573972818,55.545436064144866,51.68520778931617,48.808400718655534,45.50436933255793,43.00695842496689,41.7830071488662,43.10869900266321,45.70210338709981,49.32702149809569,49.75558574832595,56.08914321287366,55.44223468794588,58.28113696463476,57.756564732622984,59.17128414694905,57.47184041319769,57.1631368286087,55.24287297771916,55.70385279055992,52.63114954635427,51.372578792866584,52.89421457227051,53.65857499275315,52.85476813596446,55.422949405212954,52.51217208466717,54.64899519120387,51.015530966486345,49.05127743998021,44.464873389179026,43.806221222013065,39.66862059644574,43.20923761818615,40.85390510146462,41.886521089875245,44.9039795666734,44.26153091238908,46.79740467044999,44.94034373944757,48.40942078828362,43.62723549269563,45.87687444717754,44.68428836087279,40.384952751956135,40.49802382126389,35.90043965973208,36.85107621159684,33.279557798161825,34.10254685103898,34.08206244653066,34.047074359809464,37.13460209128893,37.244115866141904,41.045209922823155,39.57459170658562,36.240043792259755,33.67501088734099,31.409031423399373,30.18255496470108,28.677394281382735,31.362272054495726,30.702809934798097,34.446917242203405,36.823947834310445,41.74187536993184,40.567371140251424,44.856062831517946,45.981154843362255,47.1180907639339,43.20118633005531,39.39726760004153,36.580783500695574,35.74777299587645,34.146421390724335,37.38702433157122,38.05532899408214,42.704432043020496,42.19301932641239,40.45598384857791,44.01913344662469,42.47080446582305,39.4944407863929,38.8493996584514,38.580068431084996,35.39205165241252,36.56932168033781,35.01962296378809,38.964852134836015,36.43658015189149,38.238642158651516,40.2833082951878,39.067081581261625,40.273499856490204,41.380743879720946,41.53058935645831,41.70771557301845,44.21844526842249,42.128518336823234,46.63987280219604,47.075607345930095,43.83214855094254,45.97572276210533,47.062907480759286,44.13900342844375,41.00196351528879,41.72671981188596,40.63519640102301,44.729444308556,46.13704177074402,47.25355950217984,48.158295414470636,46.61332679878203,51.899914313262116,51.50516585595883,52.28407590758716,50.50204293916293,46.860060539492615,50.98520260802979,53.35538955706639,52.81536948821865,56.617097567947674,56.51729008511429,59.0163209238225,55.29820391598694,54.76477546907851,52.423396291662876,51.37486051216388,51.86073502516401,49.275916634646,48.840012679841806,48.031426210706734,43.29018690108834,44.22651671810159,40.76064895331112,39.96870942935981,41.25111080732023,39.98835130402123,36.68816754053995,36.147886598834205,37.94422420835459,34.1561393542748,30.533824299137123,33.45930787110042,34.872973350280304,28.847647204639877,28.501129350529204,30.525984490871906,28.04501149390409,24.232073727571578,26.51705050783264,27.355203878280722,31.58169467839062,32.46923469533493,34.245902004768,36.58204335544518,41.75318420036895,44.192333185674705,46.52845682370482,47.66273273455864,48.20302195678163,51.210085315770066,49.70190988996288,53.71284300900931,51.72730683741456,46.489382504655715,50.03515452707554,52.74079730606683,48.315754563098736,47.09312389883198,50.792882103943974,49.78444989493696,45.27486909009016,45.860494033317366,42.399990144249834,45.73689971567326,48.226677155704834,46.53354149439008,48.897410176776184,50.411492619117155,48.624311735862015,45.063547242092774,45.284053530023144,45.80967482991814,41.80545776088504,39.83582811712565,40.676630197577225,38.48284889611918,35.387264558711394,38.93856152258999,38.3395447261623,33.6427428615618,34.7067816829022,38.32490221589505,38.09597781957095,41.89058399173189,42.394472567134905,45.79149890035461,42.849850729156756,38.40161179130177,42.90985411697622,43.188495300860396,39.61294934907708,39.85563101772903,45.11139778757015,42.39306106176975,38.02893270775527,41.68114399153839,45.1664292964566,41.90534634585462,38.48461772183083,33.86410775544629,36.18200129270519,31.571928917013555,31.42717713278821,27.264506450403516,28.948450340370254,25.29764620333796,23.88991732828001,27.115916069886616,29.891859758471103,32.03728928718847,33.97524922311202,31.92143040130826,35.929230979261014,32.73896556416144,30.650524019666367,35.12570215410002,35.93925210111577,35.54298421835681,31.74007534729067,30.449635160642575,31.64085008915441,29.62633953686601,25.395385899375633,27.40601016188861,28.56629269138269,28.424936574751566,29.41154129061507,31.456103345230947],[19.225109396031026,20.730259034032915,24.924166992672657,22.60492248878238,28.615984181879753,27.208033841624157,29.97799056125748,33.15553193913217,31.51753682296123,33.65736597426494,35.33061123066869,37.654412958912374,39.025976551476546,36.421056533182856,41.034261122163855,43.223363788861896,42.19244383358631,46.05011183749576,47.756144375964084,50.96455831925945,53.82925102629353,57.91565805951641,57.89401181571241,56.994219917959434,54.769410738252034,50.603535458861025,49.056301725561454,45.55640774283378,46.553868768130364,46.28545323999102,48.39612245431894,48.28755631293047,51.12596362584604,54.99660645863661,53.327314115147445,51.774025952474325,51.10616488204287,51.76431438740673,51.38284230216025,56.800975631373746,53.76618904444924,54.57266746624438,58.887015690812134,58.27233551364535,59.03521975729371,57.33393112164696,60.908395461417115,61.3808901331545,57.44486878995627,60.8870589840934,63.773307938732,64.39312090712623,65.61614828937749,60.79309811268404,65.16760556249967,68.16251151674352,64.39927103729158,63.14189799454248,67.96507188163467,68.5475174856015,63.93453945302823,65.1247354674788,62.95596213966068,64.16512901797375,62.18032859214589,58.7715078630239,55.03861498713559,52.076770238221584,48.897665174814065,46.32921505809976,45.208142647667245,46.586948311291685,49.07359325292694,52.74948627029775,53.02036449498998,59.34747039111262,58.63297637022406,61.376693518415756,60.79752548253284,62.192554838420214,60.31824776314398,59.960522393173484,57.83546030777478,58.250592646940284,55.283739198686185,54.102567842500925,55.8194173439058,56.45777765779238,55.88327788319926,58.37111999850141,55.58173364966059,57.778268096749585,54.082134904696716,51.98237690414562,47.387909633787174,46.718280355792096,42.588973245585386,45.891260844678136,43.37687111313887,44.0400866553742,47.30613310667024,46.32751852954741,49.119302785861,46.970539912137646,50.418951480425505,45.51449033594348,47.478508562446436,46.24336941462089,41.837373778066386,42.0818893495931,37.588964393411906,38.95659559441354,35.56308059806027,36.638076877118735,36.92629655128634,37.01516067258168,40.24185079818101,40.44088054801422,44.40704210753026,42.8496527410146,39.56707837659078,36.891396147685604,34.604336284788985,33.17489844650265,31.411492084299862,33.867585833739305,32.716586516718664,36.503689857989286,38.62749992269433,43.60553793511785,42.227685047789855,46.38765756762018,47.77567917215213,48.99042147063771,45.23183449207587,41.59837282138603,38.57534099671516,38.14507996172522,36.811415721462005,40.16045988819403,41.05028662142267,45.76575829617821,45.31550917340199,43.44310931508517,46.96762123440118,45.38468027953461,42.35043797702146,41.55741060733088,41.03899450875066,37.77727925989464,38.59091148504059,37.035973588969235,40.682680809252254,37.99273861500521,40.153307766485234,42.31487214999557,41.35393494060329,42.38896481872155,43.81572650851059,43.74218713820659,44.11840043775332,46.899095960442786,44.84468726472291,49.3552079606448,49.65178450305817,46.434990284432665,48.323901514075224,49.387337308365765,46.27458102599276,43.32163660101455,43.96638858315513,43.08314502521338,47.15851497145612,48.55466670955062,49.72343049530366,50.4989299566704,49.1297966037937,54.284159694422925,53.995633196086594,54.60006871992692,52.87464815615094,49.000228272333906,53.03152061192031,55.37950025922372,55.084776183917086,58.98540157357801,59.09533376639552,61.54739150493972,58.03084106433132,57.29248087286823,54.84322936375424,53.63169485031561,53.94092811481523,51.23064351891324,50.595214053891,49.54562561436134,44.79821630062876,45.47617219085777,41.7933099935733,41.10504236935382,41.94891307782986,40.75503341191312,37.682922284360146,36.77205506245659,38.28220372851291,34.67698121739564,31.093072091480956,33.553648294007075,34.84175120927143,29.032197749331537,28.365232145674206,30.03536562276737,27.78083872618343,23.990617441010745,25.700031593007914,26.804535897557876,30.57592998564153,31.766483419068333,33.76237725230048,35.81193698496256,41.000193607176655,43.02949936549871,45.64423613779748,47.05423447278529,47.8971124863622,51.05564095000149,49.86552196426892,53.858837702481594,51.656686963194346,46.697974718742884,50.44262891052784,52.99590288927546,48.56833453122125,47.63193104698131,51.478408932581985,50.24228335640845,45.73898818817003,46.824092460653965,43.1278980737568,46.71206279295937,48.98532432903539,47.04192546789665,49.5148722832288,50.7741913075546,49.30804452827297,45.754971338388195,45.54678593916627,46.2105337833292,42.45976314978495,40.17164404971101,40.78053904627716,38.6754171133746,35.520629669765,38.68806258814023,37.9989884681631,33.38360023051821,34.17573169757568,37.60206806812042,37.503480002610246,41.44858370823781,42.31059342509656,45.56992865323705,42.308416753742826,38.20464694631124,42.877887736024846,42.84485663135792,39.25664080052108,39.94743079081055,44.973133950703584,41.97658074642501,37.93382897455895,41.87278585947123,45.01451201494717,41.571641204049016,38.36918133587129,33.87551937212386,35.89388880496614,31.364019090869643,30.812367857086965,27.108155174499874,28.976654259126935,25.616123107905736,24.251275969474026,27.658911101512643,30.3382665239618,32.775370820440905,34.57191944914624,33.03123558467808,37.144826201322545,34.31597619632837,31.832599929858137,36.28500446593057,36.75241957479854,36.65901731082218,33.01114777682392,31.185869098887434,32.335338853270464,30.94157630543834,26.39328278342082,27.786337053253334,29.00470432280584,29.09120143742254,30.171983282539834,32.31741761831633],[15.863440383550596,17.563335800590473,21.916541280307055,19.848770410139103,25.912106505832323,24.071406365044965,26.985894965189026,29.977927843662513,28.47067751754952,30.901473478848626,32.577118632014674,34.672713720830224,36.26330694928657,33.91239253127609,38.46336828504823,40.558893348197174,39.75505801808041,43.74355688674493,45.768671550459956,48.803303744477354,51.85532201369257,55.90980377511003,56.08107130372407,55.33639034831664,52.9350895167034,48.760482483982486,47.00165591741924,43.37199281439021,44.14747330207847,43.62668751773285,45.83549836002576,45.44697279996753,48.258127171531555,52.25424590902743,50.5884383593756,49.21228180700016,48.3620831947484,49.31640980078038,49.030564119319656,54.4304010543336,51.63642870929248,52.4558180283989,56.7537805552418,56.29929463238364,57.285220840711595,55.69658219217201,59.31036697942611,59.54175485487046,55.559882211421176,59.00487598747422,61.737664822607016,62.23818443449947,63.37984782044102,58.531004055294126,62.73014901392136,65.88942576681546,62.24063462698813,60.78435182485991,65.59507836420354,66.40131849332289,61.79819507062758,62.91049396272846,60.632734769254526,62.081659179028925,60.13946418128997,56.571577565146974,53.0071586088929,49.87785434616066,46.93146642908683,44.21510667011337,43.30331750776531,44.83656790470595,47.06632673742556,50.81906770171998,50.79007001880545,57.09651197985932,56.29368231282429,58.886915120249235,58.27037254771469,59.70053721587512,57.65589906703696,57.36453269853908,55.04527525787144,55.553673314033716,52.73009419408201,51.46613668096805,53.31532305297432,53.735462383835326,53.379262488307816,55.71448208358173,53.065683096863715,55.345124442159026,51.582600455243245,49.33123377918974,44.72753291126014,44.098332614454684,39.96555022842752,43.00115001238437,40.35944392787989,40.790013931834025,44.19866545205125,43.05829985969596,46.028636759149386,43.79706538935837,47.37867665151376,42.46958947553617,44.39799083868008,43.32256899840087,38.895267997937296,38.9843161114584,34.53608394571207,36.061193657786625,32.65717840274592,34.02265983047537,34.414791371353296,34.78532396785649,38.08464843357165,38.60209783780542,42.6280404823932,40.77998677394942,37.61522821357784,34.75380847128279,32.65804715228379,30.957213056210865,28.894537579702718,31.415394380917437,29.862831510218598,33.80549503642363,35.882958594670036,40.81943501218706,39.669803654021734,43.74306348401145,45.30017370392612,46.286679480742386,42.77958348192966,39.134323300035355,36.32998616100247,35.99466955241818,34.85256732624541,38.11967002607636,39.42838216438583,44.14630729661134,43.470668110234904,41.414597380389466,44.805651811338365,43.00964585196554,39.96663121677952,38.90838362768371,38.2079661775785,34.81021979197355,35.41081694838638,33.75513810935292,37.262823412435154,34.51222418737082,36.79763425389936,39.00472731203484,38.199093394765,39.19072276592783,40.812559294070034,40.740940183584584,41.4093135640529,44.294973508800815,42.521150673882154,46.970975699835826,47.43316999822933,44.51900604446635,46.28212176503353,47.606966239757796,44.43559072734865,41.46720380376086,41.87647309031207,40.90604240055771,44.771376755411374,45.9826339395578,47.02745890281863,47.61117400789394,46.25671619995236,51.31954702735931,51.22093147048221,51.75597631131298,50.26220679403226,46.195050571242895,50.3437219866445,52.79349751184699,52.59840655093068,56.54876379314024,56.681726946148764,59.283154035588865,55.92980770632037,55.187267902374685,52.752848834017925,51.362360470692636,51.73777874672457,48.99629261471943,48.31951975665378,47.30229008708162,42.49729886280546,43.019618720356945,39.321920456107236,38.35975305842507,39.1984423181146,37.76443480387896,34.758700993107105,34.072353118019436,35.4143559261895,31.64615106469184,28.41046627103148,30.852815159171215,31.81492073029478,26.02243904853284,25.611557327443276,27.21152671271806,24.66131514100342,21.1002141971236,23.151848721493483,24.43362441259717,28.134543191552574,29.830793279612408,31.45437253427891,33.427064917390155,38.72195385066951,40.89190187537434,43.399584203270955,44.489008076024,45.28299179693801,48.341256784775624,47.01980608047498,51.14564312590002,49.127816944697905,44.108142768887426,47.786238137702384,50.57007001463475,46.2525200484927,45.20248756969293,49.08814305861147,48.14081338677547,43.64438595363481,44.57871309286438,40.706264610097385,44.007979861173055,46.232709597707505,44.1549050270115,46.46450305083222,47.626080433412206,46.076175063986085,42.65302293709406,42.392761824545666,42.89282367037386,39.15999535900353,36.98553212487533,37.472593696368364,35.2818335882378,32.248101200725856,35.511842905635,34.717049921422486,30.05443204875917,31.095036516904766,34.59515493195663,34.60620795139988,38.51146090996219,39.31332057719348,42.71873673804628,39.595919750421835,35.45111651437056,40.1643296382094,40.35987229528216,36.82284555175293,37.49116424412923,42.659356207085864,39.92163749121697,35.83905639459198,39.74275618726825,43.07405408057,39.86097129881242,36.648131327567825,32.1036553165639,34.55736997446688,30.125590016273208,29.307918132829258,25.382273650232932,26.77006120724824,23.097419058009663,22.28257325563121,25.701464647538625,28.670020998921093,30.873625315720634,32.31431099064807,30.53739674990227,34.527510882159426,31.6127790893357,28.880154379183324,33.116551080442996,33.486613687475966,33.26424682975693,29.76039778607247,27.897748723143625,28.864524484013238,27.51812164861311,23.041021904055377,24.346435278970283,25.441131014076692,25.51888761936294,26.620524153285796,28.826546008959888],[18.098603067390396,20.578317372988508,25.222739010928308,23.622313427977556,29.594449244992507,26.543170095288282,29.390770965413246,31.70183856877566,29.80004470860698,32.546498419304314,33.63072048962706,35.35271538398196,37.785568939550195,35.40521094930442,39.49027709639211,41.801450520066176,41.63411744913366,45.515878041661324,47.88774251281619,50.99605819281726,54.1138115772047,58.324510218051785,58.57418422129988,58.139213927542,55.77309016942965,51.46273624555744,49.75982147350859,45.951381496197754,46.237753529355416,45.37123216773884,46.90743267072442,46.542911665644944,48.88408869530574,53.030621985411734,51.81899073950745,50.829488363988716,50.09975124033052,51.614604027654075,51.71216310045431,57.301821164846174,54.743229807519235,55.11898936948308,59.46214969946607,59.3603850542764,60.50585986921818,59.18880064967912,62.86689342948912,62.88296631988824,59.04166204567747,62.667527322775726,65.1024421227326,65.60815220869414,66.46802780985826,61.539950870876716,65.39204314167439,68.64816915575754,65.00747250182461,63.17607732460033,67.91882015552582,68.9792798409996,64.17453588592105,64.84280046979974,62.2781488423076,63.80136042971516,62.23113859197228,58.584249706722424,54.8134038424145,51.47483559901241,48.59675262015973,45.46386924710605,44.67064920200811,45.88541688031813,48.009880366995084,52.08401211925913,51.90990683066001,58.09780884938802,57.726739957238635,60.00143606932924,59.74499261824057,61.55111082729722,59.526643350989424,59.68832514061995,57.219813696058985,58.15114356488651,55.54148249443897,53.85266603817041,55.553467534720234,55.49959841197811,55.10323889979535,56.841176328429434,54.11538009738927,56.02836381230744,52.117195796682445,49.72440916942939,45.304174042626244,44.21409189683723,40.32062415560543,43.40945268111337,40.850229101503245,40.91698120387781,45.022701435565104,44.11540614217663,47.53200390201957,45.604205142599625,49.7523859726362,44.994704041329264,47.01415546247539,46.40605483556434,42.00384149740873,41.60547238008477,37.27359342436151,38.85522017092905,35.172341802057254,36.96892384854005,36.92609275689434,37.757721190861076,40.80365114092515,41.758041596683896,45.2823189802285,43.0004826205623,39.94782584995072,37.039513576670046,35.61637231658316,33.90563276822865,31.72008724688224,34.82062886356211,32.93638810494362,37.175428487491494,39.317315627188364,44.08092188787766,43.504408631142816,47.429871150295924,49.18487628374891,49.68872426728999,46.58656031472316,42.809469347158725,40.53343641671178,40.0257638868657,38.86229041896879,41.83790654371542,43.351029276180824,47.92935198169681,46.79989041921127,44.743088984405205,47.9464790904263,45.72174050760884,42.81837105480121,41.33722112302732,40.60697687746738,36.82614482316179,37.23952974509167,34.8516260758215,38.02259334560771,34.44536460499199,36.80713979020818,39.600448164467075,39.25199857498651,40.65462582786136,42.45762589171973,42.985014998421946,44.27276589423642,46.927993395545606,45.79667968817172,50.097116201465276,51.09604928300305,48.61292190002898,50.45941284755668,52.115554071964176,49.022628917507525,45.92274728622639,46.098375631246206,44.81711603031133,48.32395789303722,49.15879497335271,49.804213034904926,50.0120019044276,48.31905335029841,53.31119967218579,53.70413738224132,54.3283863498369,53.38524822724819,49.13551620598313,53.63167205576023,56.300498664256445,56.082419352555966,60.02671924074465,59.9398112011832,62.88088619223364,59.539732172004676,59.059040839661094,56.761670492614094,55.248130639978235,55.856074179523844,53.15906199318483,52.51823899347891,51.62156461940611,46.76628953533771,47.08178389144319,43.38917435580045,41.95310250429436,42.706349341965996,40.7773295585576,38.00997670540173,37.72329970666663,38.570101192687,34.56878941304137,32.16832049378703,34.28967730368513,34.3633313645369,28.93704962846195,28.885503712166884,29.90893478632979,26.866911219914456,24.113907215411267,26.190038214898816,28.079628332378505,30.981764551838197,33.86103738074802,35.11331680258619,36.59998007174424,42.0297640748114,43.88064317014209,46.5492632441151,47.33644537309703,48.354006634569544,51.31170964350908,49.96852222791319,54.33579819871029,52.5390924130868,47.646418580610046,51.27525606431062,54.36961626509131,50.26037868397005,49.1710899228362,53.13635858302258,52.5317165588208,48.07904145608738,48.93290045746783,44.78764309548759,47.615732806098755,49.682717562369895,47.24249360751676,49.171740831366215,49.900485183661964,48.26818842563939,45.287355420714235,44.63741912879473,44.650411712115805,41.18325115037767,39.25952371755152,39.08618983483991,36.641404077911695,34.14027077751041,37.2445644228158,35.857720493051744,31.215492700210223,32.846352274647266,36.19543839138326,36.7881593054701,40.72201221561299,41.75895196488636,45.36403859770326,42.2554546611114,38.45718079915702,43.33320465322054,43.70639342230576,40.29888766344579,41.26896889962205,46.45308166857858,43.908110666683854,40.06081691174541,44.043727228937705,47.38384859612597,44.34632400060053,41.29841844078314,36.82365313875949,39.48572528863274,35.22810080189856,33.91907974287795,30.155907698781157,31.05985584855168,27.160831361814854,27.102305168669307,30.527795596099608,33.714831074667266,35.73182642174525,36.69339430209565,34.6748963815645,38.40218657419917,35.28870728987929,32.15646717902022,35.7402168219264,35.774244398893345,35.02223410050436,32.13481518925622,30.20462793348267,30.323318580728195,29.095667435326465,25.248076600587957,25.9340618231551,26.10418625787276,25.910315961383912,26.528021095727137,28.772856007918936],[17.500365691129883,20.28207038139559,24.89775908486857,23.569738285217863,29.285604550308456,25.332542341651052,28.07066898213595,29.83021305759246,27.772003324856662,30.78947552571791,31.521852634362517,32.87822303805326,35.85807763052645,33.656408463117835,37.38629605805744,39.722394035952725,40.04071836378916,43.89936697954338,46.64051047501894,49.63914211981875,52.88809622041211,57.127271132231165,57.54434816236128,57.3823400491434,54.934075895100996,50.58374814408651,48.7893944158323,44.84309393827968,44.720302528708665,43.526313003095744,44.747753068357746,44.23346326362817,46.2937799907479,50.5579281505307,49.591731631747095,48.91764699833611,48.158838887203935,50.13417088364377,50.50302588463091,56.147673620225106,53.87831628991063,54.00979202996201,58.33610746950012,58.53202176080227,59.90021371362839,58.8211142022442,62.53508635829163,62.27125033862608,58.51491872229564,62.22723165989982,64.37951369348349,64.81639629519123,65.45840745993033,60.4994875803636,64.03178596991161,67.41225934174683,63.86208389215191,61.71783707032063,66.38810462363108,67.71526840595601,62.83462665588905,63.21533501541855,60.44844007640396,62.15858474378572,60.81518828269128,57.04717643749574,53.31099215189856,49.778998968538104,47.126822128149364,43.71379487815546,43.141660988269415,44.3050649882355,46.161285483155446,50.409755277559306,49.9504724709997,56.02036293901493,55.80629074402352,57.809645218264016,57.71483102551716,59.72842031611658,57.632017371023416,58.08332085121666,55.45799733222867,56.67750251845876,54.27432433129746,52.30507828192521,53.97557232935893,53.54336481018541,53.24865279510818,54.572825436485765,51.91256613415807,53.68629537671704,49.68558164940424,47.14192672892185,42.844208657314375,41.56283809885808,37.82744793812963,40.74252217612499,38.183430436999096,37.95477353354149,42.45107725770667,41.63573941034551,45.329510899282134,43.594574350536696,48.108311040198245,43.50797442147387,45.60846505838165,45.37821562729146,41.05735309814913,40.256034071844496,36.05281817601322,37.64421294566545,33.82360994476725,35.97671275506315,35.71920743910276,36.96458317275601,39.85941041811951,41.24507720669139,44.49014516547119,41.81076682152885,38.94253400104164,35.933730589824776,35.03188363034981,33.1823546085386,30.808081018797203,34.238382041809565,32.039377260800464,36.45423952183984,38.626244394209934,43.186209089319156,43.13213180158232,46.90933569030144,48.79499908198306,48.861813003797415,46.14025349922631,42.29226161575593,40.525536429065646,39.91105909890872,38.83563411807416,41.535939590223386,43.39270499778675,47.83413022499933,46.31474191545029,44.17101441044263,47.14828991484634,44.57957625185292,41.78982833114511,39.94087890971866,39.12309919173667,35.10744772001847,35.340318857530036,32.50641387387958,35.42168055885503,31.42139570419665,33.79574889641047,36.89049463243767,36.85294930636856,38.472372971090316,40.42330153169484,41.31972201977407,43.08649597804233,45.608170821831244,45.02110251590619,49.15374811877603,50.566759009873145,48.54000643538951,50.37571957419446,52.37404972744788,49.352910472710455,46.167947426745705,46.07546224621627,44.54290731065326,47.678505925131226,48.179195849363474,48.50844812888008,48.40792098384505,46.5234755195102,51.39696754681889,52.15864926535233,52.81413251064427,52.31840897701159,47.93164836349791,52.6745793044565,55.5116208750227,55.30031465105937,59.212823641185004,58.98382600236782,62.191078467062425,58.962127426892536,58.658934374150505,56.48701691582312,54.83185736721048,55.64409305032401,53.00158471550695,52.406782177498776,51.66866340669843,46.79748189398652,46.9697535484208,43.377051360348155,41.494730493416164,42.32630643498987,39.973472600039166,37.347756524040086,37.547658843924104,38.102707233618574,33.87104436436094,32.187330991853166,34.24084278017767,33.669072884970205,28.49400174256947,28.92224556875114,29.704282219675875,26.19086855088136,24.11499896326519,26.57751619090874,28.728321692333115,31.29031785706188,34.90266382260221,35.62977738420176,36.90581344540335,42.389930514679314,44.31736157027944,46.85485912023283,47.157884070011505,48.130566729335875,50.884513676876246,49.33678239535865,53.889403688816465,52.42369570898983,47.49917658345463,50.955443489994515,54.39323524692665,50.498206786914,49.2274917327701,53.175245573611996,53.01993296461828,48.63265843057288,49.180383324479536,44.8931199236291,47.17522647354731,49.175032554950405,46.55976580258519,48.12117172036809,48.63529917624,46.803128928467444,44.174791920827566,43.43808604892114,43.02547204712232,39.66258783871404,38.09245240409512,37.563873954301975,34.91827995520596,32.860016901712264,36.045022121134856,34.31911403460031,29.70102655230326,31.913035409352624,35.25419814393441,36.166246121648655,39.96997264160289,40.93720028581158,44.75766897817132,41.909964582115684,38.18338782620743,43.044571993551884,43.77299081825693,40.51296602124868,41.448281565682414,46.75551893501285,44.60641288839477,40.783695245297245,44.63755013889502,48.18971045731975,45.481893103325234,42.46711421846786,38.010841169734476,41.11575694678572,37.02861738979209,35.47811587585724,31.569745371473033,31.857975024371616,27.653462641809835,28.30622604250227,31.600748104033833,35.04095335484282,36.69848536967867,37.21328479077456,34.79784434531155,38.20800870759666,34.88530797984839,31.544498528921082,34.55483966048958,34.443916614335144,33.21268986944968,30.787877075864717,29.007324957054852,28.517437240511505,27.21995178158419,24.00381248592478,24.450697301785333,23.950712828496886,23.51412388498624,23.822222774656975,26.068802567431774],[21.176722916821582,24.16624566405178,28.90775303090597,27.995626908997426,33.782039426203916,29.973389839435796,32.84199608499866,34.50702685312532,32.540312384597264,35.62397975275387,36.25948141551637,37.49415684776172,40.64319227847635,38.44449579366837,42.061585939629225,44.43782327056731,44.85366271676738,48.667681026928136,51.39256053295384,54.4410857621263,57.65666510575658,61.92003454568067,62.30509867319349,62.13635753015735,59.74509512061476,55.37841918841622,53.63582654795069,49.697320669638295,49.54895411504827,48.31334248539222,49.38998382668494,48.876638122583266,50.796362833155044,55.092511705868695,54.25130016654433,53.66687462810543,52.916780298046085,54.97499586694158,55.36524379431103,61.00259595272602,58.7367344824616,58.8540559278651,63.18448066872486,63.38059509053878,64.71726670342056,63.60159194110249,67.32489605713414,67.11938600882306,63.34089366136495,67.0495194629303,69.22572547083657,69.66625783130242,70.31886968271554,65.35869885342886,68.87204088870926,72.26913018799345,68.71688467939207,66.55087142506837,71.20431749464157,72.54522547201783,67.63995658555604,67.9548941312994,65.14924150131753,66.82329631575196,65.55487483523375,61.81078460960422,58.001434225883024,54.473350219370005,51.77470262917596,48.31274831859612,47.70109742600457,48.707392838698354,50.62774262607265,54.93334893383527,54.52644508188113,60.544835256832926,60.47117908159338,62.40391126955244,62.40358267285438,64.4865561732375,62.3884771729705,62.894057952233794,60.207926094632604,61.452962114735726,59.101568280795746,57.123305004901724,58.801567219156695,58.28867489460428,58.0030752575729,59.188890791200194,56.51280098460298,58.15229050111311,54.13114980167813,51.56975321415322,47.36246097408251,45.928690784969625,42.3104429352092,45.21840125599227,42.68244823457203,42.23778795591915,46.96347089350622,46.077087045875544,49.93532244282773,48.13196837330758,52.67125344175474,48.04818071652997,49.98026560193971,49.7460753791825,45.38015905115983,44.65203963265804,40.53917000334094,42.33034665293592,38.591971810455746,40.80840157000063,40.59565117250544,41.8312910220199,44.72013230572691,46.05543954319202,49.254189537397,46.60493256900814,43.72035664552453,40.75242374472107,39.844260859562695,38.04276594430524,35.67896679042687,39.030930301145645,36.70537200121493,41.107857039823685,43.15138279141967,47.7359000184305,47.54371918593633,51.24697398344197,53.26602448767002,53.397608878761446,50.735099265609854,46.9720040047611,45.05107316311655,44.59853658802268,43.56372226159226,46.33208125331789,48.122380717838446,52.58796684603876,51.13427063820441,49.0155972600997,52.01469641914235,49.44980668648176,46.661998686809994,44.79036868380072,43.916221060833884,39.87332167265841,39.94538245298633,37.0393354209273,39.695045204147746,35.466125362434404,38.00624531097676,41.26604363627886,41.4330393878327,43.04063282055063,45.124120239420805,46.00484697079104,47.86901736787612,50.44755240769725,49.86338801210825,53.997179024312345,55.3542382522377,53.26504103661786,55.03324008565756,56.9504577031646,53.850050198550754,50.75008970519102,50.69131267181914,49.26841989668447,52.44007697954739,52.953363863236845,53.292490317629486,53.12331511782546,51.27122324879603,56.07202224929436,56.92056324107549,57.52005668836144,57.06841145929632,52.59634126003355,57.28473586810231,60.09971330107843,59.982257541403996,63.944279928584805,63.78686234311296,66.97469348312084,63.76590436740654,63.41082700672797,61.18252201092932,59.49989114322438,60.216326258017894,57.517439944620705,56.82309219109913,55.93266644246869,51.07193965787682,51.10227062922237,47.365368979374765,45.59528611311791,46.09447713958269,43.80953023552969,41.377650690262676,41.27924101608635,41.59568307471838,37.55521006502186,35.89502021871728,37.54712855457374,36.83832559650557,31.94760822377264,32.074846613707564,32.477813224223475,29.221389880990376,27.235268647302387,29.072420483582793,31.467502151370077,33.491918656568785,37.38751687796202,38.356848282627354,39.31330480715945,44.76433004076984,46.20160544020405,49.0430809506763,49.62682524125119,50.930662937839145,53.81654350551358,52.58486677676952,57.10857978024193,55.447810291364945,50.81641766252739,54.434825039811535,57.716900475219575,53.827651986161285,52.81621193484917,56.866715635353295,56.48846710334202,52.11351873778727,53.07166635027499,48.64355067428851,51.137002408897736,52.95973806020271,50.14066282777284,51.765164359934694,52.0090324186885,50.45988798931918,47.89968934862558,46.756481764541626,46.40789193868921,43.3341141269867,41.53031262960102,40.70667576199719,38.13859688587716,36.13386224354918,38.871947283578,36.97118301887744,32.52277993460936,34.50704179645507,37.56292264339243,38.693552835348186,42.618891238662776,43.96725148627816,47.63704125363829,44.482699882898025,41.1682256465485,46.1563077018978,46.57473647155685,43.32783409154556,44.687242130368546,49.74129571912944,47.31307735770899,43.81892857157434,47.91110365375582,51.11880941011862,48.21885207415394,45.41194382161844,41.088984102090954,43.830027656144004,39.79681748854549,37.972982247027225,34.520200679469696,35.061080862252176,31.16963738309608,31.707399394507462,35.1288113306509,38.42112651159247,40.34894083520016,40.85488197020004,38.858259234230125,42.35640686306173,39.284478296658506,35.74009411730077,38.71515221130318,38.32997510926246,37.2923542757299,35.052845939453334,32.90572715272915,32.31442829098118,31.511189895454145,28.181526378485128,28.0860436484034,27.49335130501268,27.192730232592535,27.414069860293488,29.61624106313736],[17.636555288305782,20.655843941864806,25.453095872520795,25.196418405598447,31.033952951847738,27.897898525459425,31.203359092744808,33.114168530419185,31.832006862603283,35.15186113750305,36.28121575072969,37.43864141966236,40.25822746864086,38.453830030986865,42.37397146063104,44.4430724159293,44.616729941643605,48.69526920527592,51.47318398515111,54.2581845726617,57.62349776739971,61.70456705872957,62.212612553218115,61.90067873134261,59.29267788366431,55.05778954739106,53.02698259121517,49.11851839472861,49.15621339814223,47.879627141270156,49.68669522930908,48.728444343851535,50.991448494354444,55.36888512016765,54.14973045891205,53.491130749737394,52.34125682601018,54.31142334884286,54.436153971389096,59.823936783580706,57.665789032868894,58.258573143068,62.51318376067565,62.52792101529658,63.94198160952056,62.6606815219348,66.3150377243119,66.07391307567406,62.12311394761422,65.60460408430465,67.9356382739089,68.1833948789666,69.06319452233262,64.17170888818235,67.79806042301756,71.33516955816869,67.93885046628459,65.8947322778491,70.59826942683232,71.98642881863873,67.3042800719001,67.95180333797002,65.27071101617584,67.16842807889243,65.60901091164236,61.74696062032576,58.315701052146416,54.78425877316116,52.274734175266744,49.00321452239165,48.50100417251853,49.89331804978409,51.66916382373791,55.80125939343702,55.1994948439032,61.29942345802558,60.758280444961486,62.768846469412566,62.403795413570585,64.19200538784119,61.80263497159723,61.94784164047748,59.08733607962921,60.03513271038501,57.69678823789838,56.05849395269356,58.10220291770174,57.70904289296582,57.80716117577613,59.30410986525062,56.891407737912225,58.93926706424254,54.94157314019357,52.278934647840096,47.912938558277766,46.872632532927845,43.06523353252055,45.5410025484762,42.713723242582454,42.05112537384825,46.54484836226706,45.0497260532096,48.91433028143564,46.553294893265736,50.725209428367215,45.87350083209898,47.43236345148695,46.92869092629876,42.46080211873564,42.10626922653362,38.080190406469754,40.3052518334861,36.9538610045813,39.24208150837536,39.673076665560004,40.82696380883431,44.05008906299066,45.304424107157665,49.048540598044944,46.503752570122806,43.64507067191229,40.52544081889893,39.19963872393516,37.10205770650534,34.46311038042149,37.224739489740884,34.47313781981544,38.76900349260805,40.486039873358145,45.18408400623904,44.54210861663838,48.14475805353118,50.36335218451172,50.76896740162868,48.134448622855835,44.636538343267716,42.31310546780051,42.39057468830493,41.71116423832647,44.70719541393549,46.75374969295684,51.36920166033325,50.179977031398174,47.8500394803818,50.86267642638965,48.482287362695246,45.54249769058698,43.70915648369958,42.53056321495558,38.64277163354055,38.37550757824344,35.959642566416505,38.47165119716963,34.70080557924898,37.61373781678574,40.5499395082901,40.71109883024887,41.80574138969313,44.17057412107537,44.38455386029906,46.15332002563829,49.19418898840947,48.332954690519045,52.53298938366799,53.45962685541009,51.26460838853586,52.67400258924566,54.480231899006625,51.1462715591282,48.301610530982686,48.200400790404416,47.13589756246908,50.4066177508151,51.07134439473046,51.67784318475496,51.55403239533184,50.138662190848194,54.80155404448246,55.48867346511763,55.811850819293824,55.14259396795479,50.49128562800073,54.912430216667275,57.61855110454714,57.81801017361031,61.88171091588604,62.08497964607782,65.03817211178855,62.14104560654947,61.387804962470085,59.00267200216783,57.17910621067104,57.59693285608821,54.70784315300303,53.75584040443395,52.57022210698991,47.74764015968471,47.5869808112745,43.66990303125972,42.15958735173143,42.27405042089289,40.25246001268537,37.961577815330735,37.38061530401237,37.60666133925217,33.840995052486974,31.959764041990926,33.2906412576406,32.78118511271709,27.977251381486905,27.72858936973256,28.012461191467125,25.1324900289964,22.951552828024848,24.32287912976135,26.764555331801365,28.62942317256134,32.48566514288081,33.6201635695709,34.49685238840505,39.91826914026244,41.194189606400144,44.16227853771178,45.00892885038645,46.43597056196233,49.46214459861832,48.4961323558408,52.90630428685185,51.01005517451476,46.56051659930871,50.341233299709906,53.39496429750497,49.459927303274604,48.689012132688596,52.83428556772618,52.18189721625244,47.8221384109637,49.21005049045715,44.66422878208612,47.50748731609906,49.19071220507984,46.29421089188765,48.176809729533645,48.393803173733055,47.192387341846846,44.427200595534174,43.071986496518335,43.1044018230045,40.1458499145514,37.908376574759856,37.20084134191414,34.858124951442946,32.514513299350604,34.9857984710355,33.309762501477714,28.914830338740554,30.369620126281475,33.34777392195718,34.32714909676441,38.357439192056205,39.89548523545589,43.36294578635693,39.968352412371566,36.79450338707753,41.84338378541458,41.97161256902639,38.69131400512356,40.29098487530222,45.15705405029831,42.517125230150505,39.21236880304346,43.46690446822997,46.42739550738855,43.4170572471504,40.74803495201988,36.53941796375691,39.10490010579409,35.18678928793668,33.11895713873594,29.96758844933075,30.623504726308823,27.03978726936215,27.550420360227267,31.038665504423136,34.21747642521175,36.34182340155838,36.76778226946825,35.291068790625054,38.93130046453139,36.31359078313427,32.55442686068188,35.756001050860995,35.17198140018086,34.74591272382777,32.370493007374435,29.685770935081603,29.493759536288,29.35881083121432,25.3376302106085,24.84722333551432,24.876983104254787,24.98159404025646,25.674921212198747,28.019985804123195],[16.934575653302492,19.97947980301573,24.778222681396006,25.034127052911103,30.833614873513937,28.09329508545663,31.63691378416057,33.632705926694506,32.754505428665794,36.20778494020321,37.5677946673607,38.64443524614424,41.327517239950886,39.745644796849504,43.781527914436985,45.693420845862704,45.78013907476085,49.97313696404976,52.78306443332233,55.42804391965059,58.86304027701755,62.84745045228005,63.42162873292086,63.030433697883495,60.322019362178715,56.16938798357782,53.99027286307876,50.100602711442946,50.22132964124158,48.90666386746153,51.06991019470729,49.868576826244414,52.28076787809985,56.707096404407984,55.31183169390677,54.63777922998976,53.27297748528016,55.219670163902286,55.221764280545585,60.444588469919836,58.33594157215408,59.215661285740055,63.416916064578864,63.34912753819754,64.80647802398519,63.43484798624424,67.07870839042148,66.82022386514446,62.746219309548266,66.06838770202008,68.47673907850897,68.62864030423513,69.61062868820457,64.78804987700465,68.45083187309369,72.0707873299028,68.77522298737429,66.79463523383977,71.51180772836389,72.92303269878042,68.37194069490815,69.18262285095297,66.56004885621932,68.57557896885812,66.87672197265678,62.964809662470074,59.72789893407361,56.1881437495761,53.785133577706866,50.597042486332946,50.152717198166435,51.72524319262363,53.42441026474314,57.47816051100735,56.77260159961751,62.89424867365839,62.13294836092111,64.16228309453132,63.620168765124816,65.25558206612801,62.71984452688067,62.68271815148869,59.69210162034266,60.447667976754325,58.15725537519131,56.729388629348655,58.986117237528475,58.63922990485516,58.94346843536445,60.570468086256774,58.30252467092167,60.53583587217801,56.55046591544664,53.82914403149987,49.402878498172946,48.54184434829218,44.66588916832215,46.90061898847316,43.92724201991219,43.100409047643865,47.50556542265501,45.652652168552194,49.550209384389284,46.86737638164611,50.81084379186271,45.87084879022711,47.15958758285778,46.501197538265,41.97935569404316,41.85817821250797,37.92539705613253,40.44316464204585,37.34798751951062,39.69186573158076,40.491268731368194,41.60756827382563,44.996342215348534,46.21164207934602,50.233190637051685,47.73707967683555,44.896195820621486,41.70958710720004,40.17985761793118,37.933677254342,35.153894618954055,37.55547274813463,34.5464462150824,38.73854118301253,40.22735169108722,44.960774308596264,44.04670534923879,47.54786984062913,49.9109234747044,50.47819431087494,47.8999835026183,44.59211543198071,42.02705018368885,42.44486463356753,41.98909585594958,45.12126865445222,47.30946728066314,51.99365442670955,50.96276685327148,48.52054378227516,51.54007809355798,49.248147333106566,46.236710526187544,44.41341934695849,43.04777203647742,39.25214687349952,38.75231738424144,36.603994293942506,38.95542733652457,35.39758044216166,38.55402311601299,41.33265583943535,41.54064911527292,42.34240141471666,44.89010348358804,44.73378085993643,46.46474733888822,49.7817013375917,48.783160576739654,52.99157841912259,53.668318268617305,51.4214487006241,52.59472819791501,54.31884068144686,50.835417569974496,48.18120415532543,48.05355072325252,47.22376114379892,50.53717988882341,51.27807088619229,52.02936089386626,51.905534436524114,50.747594138668155,55.290491890323494,55.91791143066307,56.06544629826882,55.3034082012543,50.535794253883566,54.742118523942864,57.33878941033966,57.74327031418744,61.86692116060161,62.31066734158674,65.14985321099931,62.41492705619943,61.44372838981795,58.92815536569996,56.970399737887135,57.20435456179902,54.2699781579403,53.19828895270136,51.834677696597204,47.03790878570998,46.71433741220533,42.66781947864199,41.3336839508279,41.135051131241504,39.286538358027656,37.14574865945562,36.218714166967956,36.31705266199167,32.790338199712224,30.830257893544292,31.83799866124484,31.397542763256617,26.78667925201933,26.243183681606777,26.333068674262186,23.7768539624055,21.54723875238492,22.437684620726834,24.961551153903645,26.549295521504078,30.453726535478257,31.732076394105885,32.45322805473431,37.809069738499254,38.88081251739118,41.95169055021481,43.02579256586854,44.61654505867902,47.749355429600044,47.01551119351381,51.33504862071629,49.25193245648379,45.008029414225504,48.91967705663393,51.79007494858182,47.848938030229405,47.29151103284737,51.48791389844365,50.64923998442075,46.32912418588799,48.06037364298406,43.42795292118086,46.51532960487368,48.042579684489844,45.05835345872709,47.09240167448942,47.22223617907496,46.29161595417644,43.44311011454843,41.86778290244636,42.132761874479876,39.32166967183386,36.80111846916174,36.08919515243069,33.912468281973,31.413848802978006,33.588367286903164,32.015992584773976,27.735551130341833,28.79998812085835,31.63581510348883,32.573771757317566,36.67295604371499,38.40824211992284,41.71038795302168,38.10855288953211,35.14857937690704,40.230966161694354,40.114943197662946,36.84123648699585,38.69221720301884,43.34412675989319,40.530995078990415,37.449027316185195,41.83521102080638,44.537284533224,41.43769145972066,38.928452137871794,34.86159855716723,37.20968901092508,33.42215191188877,31.13156130703506,28.327895910263223,29.090136125030337,25.83223794896132,26.32430457702287,29.82377321333537,32.85607282213343,35.132677992100575,35.49498561472145,34.446959404220316,38.149994752600364,35.883816047201734,31.96589321260367,35.239233700327205,34.47837447116711,34.430601574649046,32.05030649087465,29.031068186748588,29.02209183325941,29.335527734426606,25.032024298592756,24.222075412937432,24.54127893295125,25.00601646318488,25.991567655621786,28.35613932507039],[15.616226497255509,18.33117318932557,23.000051033255467,23.46059622710275,29.241121212182595,27.27383406061082,30.97964646235236,33.29779395138469,32.800894182085045,36.18689815189009,37.89936187227173,39.09060354675772,41.35062592877445,39.898493038275255,44.1753114943096,45.916576197471045,45.690091512662605,49.98230104143715,52.65889631486042,55.195537637995585,58.63528160982022,62.491558561277564,63.072797529288664,62.51208168449978,59.73992133840249,55.6891398634257,53.41332595779259,49.61979964997656,49.98782663214573,48.799714971151495,51.42088706012337,50.09154269656299,52.77404171970813,57.15625041112814,55.48227719942302,54.63765777977764,53.11184460870465,54.8052640848439,54.57163789416189,59.620369148796954,57.45267824213881,58.660982500930665,62.80955977473123,62.54032142153588,63.95147156665302,62.40674003810041,66.00356810264223,65.83951035429652,61.64055051688493,64.80831729523668,67.38647931803428,67.47686515367224,68.65229186995636,63.890260789111785,67.72583032602458,71.34482616207099,68.09946800180929,66.31297704602207,71.06348763214267,72.38120761911776,67.98497071975181,69.0679424235311,66.60183667437235,68.64034497173607,66.71587977029385,62.81483345529509,59.770287151532926,56.32344950895069,53.944713851782865,50.97707799926577,50.512576935789376,52.29194578013536,54.000226107023614,57.878239908432,57.18721378393918,63.3655633754244,62.31396019039551,64.48786627398164,63.70405323410217,65.10224291428612,62.47938213492302,62.148052182047046,59.16096028188882,59.64683892137842,57.29066539451665,56.14804668143813,58.574394202970325,58.45097231338356,58.88417197633267,60.83005079247428,58.66818304430825,61.1464839990424,57.2311450710929,54.5449263030913,50.01564144891629,49.430412292862954,45.42496425860508,47.525946392187095,44.4504352201705,43.70407337983832,47.76112317710318,45.63196654603149,49.34660712131569,46.36063870605421,49.93093921556641,44.86668753708305,45.957989064949594,45.00147734018444,40.440951980251,40.67708533026289,36.75865170143846,39.42333450569075,36.603404602238896,38.7963796265095,39.97833672404207,40.88548554477596,44.457701280389706,45.46795414792585,49.826891388939025,47.54388034968655,44.677572270030616,41.4840716642465,39.58515281436053,37.26904906625645,34.46658158621361,36.41138268926415,33.380257529807096,37.37997508529277,38.688883846491365,43.51699735497206,42.17919316040221,45.67694644408217,48.04656873344485,48.9242350057674,46.20857480374614,43.08329536333925,40.14620582163606,40.86089117068274,40.55808655537092,43.87102657098252,46.05055178649074,50.81370865022038,50.05908126479517,47.563016319229845,50.65093097264092,48.59663337367561,45.49562755818335,43.85732296621763,42.403773516486034,38.829158992082725,38.281090082660675,36.591110552969624,39.008683260193585,35.92669104534108,39.157502369883275,41.604352372070295,41.636438722269666,42.110239469141085,44.67264038385091,44.056325847967024,45.50754646676925,49.06357464572093,47.71975011736653,51.989714280481664,52.295772081352965,49.84149146452439,50.832217803033956,52.36106109239713,48.76149469364157,46.288407856068595,46.24117189934133,45.68925411786267,49.168676450644035,50.11396258072091,51.11796102656962,51.157614397376946,50.288276502411996,54.79868507015356,55.17351968353091,55.18756708637503,54.12786808662274,49.37940996491185,53.31889041995099,55.77006762281392,56.296684419925114,60.46793942138759,61.13533690938604,63.752220393253644,61.11396655922533,59.90172259329922,57.266354525349946,55.307675695502375,55.32523425651511,52.31438677845926,51.12535695009036,49.578762087329686,44.8340469834773,44.49242859106584,40.355620196121066,39.354821620742,38.980669868080994,37.476328031170546,35.325591681487055,33.9732657325568,34.21150808503358,30.950468035191328,28.536999829277594,29.454982623305607,29.49719969246721,24.816169030604637,23.865694136098348,24.095830904173845,22.01896961000049,19.31920575838491,19.798524987431662,22.126136812771357,23.906691470195337,27.300035207377846,28.897305423424786,29.749038415730837,35.035418651636675,36.10919305606867,39.21879669709379,40.607645008930014,42.20626271776756,45.47729905576682,44.91343163857748,49.06876146668575,46.749136433516064,42.57571350058823,46.60209969890509,49.20781388277478,45.156057113578484,44.76330709147739,48.98078847514604,47.838684462679716,43.5063779416236,45.528630751455104,40.94588075911765,44.41501114769366,45.924144402552756,43.04562962051384,45.36484327220251,45.648072414618966,44.927398316375125,41.81108375960517,40.27724521787869,40.92952504051966,38.082215404898534,35.248908443770766,34.858835517768576,32.91072252388032,30.035254648812924,32.10459497391094,30.9006155157894,26.66751789034827,27.164442989578568,29.99663828667727,30.60351808899952,34.76025478491963,36.52256965549042,39.6163296697962,35.84822308267976,32.85290114452123,37.90874353695939,37.52447803717462,34.170959578063986,36.07432715763009,40.59076411837748,37.53064860390479,34.49054065311512,38.966010540579376,41.48326457342731,38.213918308280306,35.736550745241765,31.723654791177164,33.81669294204296,30.032481003376766,27.745980833781122,25.141527119337585,26.221777005838458,23.301885910916255,23.454963311230177,26.99009365900245,29.830143390022577,32.31759805626872,32.83916577498382,32.21206836593027,36.077055374535654,34.13758202912717,30.282270679360302,33.90062542015739,33.17790326183832,33.62339457871718,30.955859900527848,27.726268092430004,28.24392006772356,28.79436974206274,23.99900925141518,23.251063423456742,24.227913188455922,24.97642633683247,26.28096399069195,28.648410849845263],[15.470151152919492,17.844681012168653,22.46480058390231,22.067786909303443,28.02261948845616,26.245182669051648,29.735100263145785,32.36810534293678,31.561277702987027,34.61314607586427,36.36803482857452,37.910002650477644,39.87973192650687,38.10828904771429,42.53353664333721,44.390176385725766,43.89967536616642,48.102966703637506,50.51171599048705,53.22591539385527,56.51676770385989,60.437520573367166,60.84287264834851,60.18275183878714,57.54133039625796,53.46609073713221,51.37102943736211,47.65240166124108,48.21936033952548,47.30003433692064,49.84202181289509,48.842905689789895,51.61840762064515,55.858600615686754,54.14601449615801,53.0744452749042,51.77161866144839,53.148504598584715,52.852614890570244,58.005135376666296,55.58880400782858,56.71173963714883,60.91080272438294,60.53022582059036,61.76012996530167,60.17279009718184,63.75313753554115,63.753924650273696,59.63709387029289,62.86700852716515,65.54769411435989,65.78366555005883,66.97944224993185,62.20518359256723,66.2119879365506,69.65924091320203,66.26977021708815,64.64612604282574,69.43284156334735,70.53502082693849,66.088448612171,67.23239809855595,64.86024678070756,66.67604119686202,64.70756684759753,60.93176125153795,57.71081279875112,54.39511378198447,51.79944090696486,48.95252226937494,48.30904917556268,50.01766589679855,51.93834206848905,55.751251465321815,55.31932187795835,61.5632292094537,60.56690350770124,62.92436272513001,62.16775330275596,63.54163380037661,61.118319219012406,60.748926517708135,58.00836774437578,58.448178015080416,55.89521070571018,54.7668989794054,57.01128717387642,57.13309613467038,57.289809432788005,59.43559704415073,57.099515699383964,59.536630040271696,55.68194273679455,53.156996767939,48.576715725974836,48.00068732605472,43.922393160070484,46.362077217182666,43.421599188619254,43.110476501007454,46.9029425724349,45.08566942169496,48.520252377408276,45.74681305668674,49.26821758317281,44.21347767046567,45.5716169879348,44.50512758057952,39.96452154650356,40.227003015809636,36.09538248708224,38.39079481094028,35.39688855015929,37.26992073524451,38.24008117385976,38.909610691271865,42.42238569765504,43.20496650968932,47.510120099569775,45.425536115837055,42.437263474059606,39.36387864885576,37.318867756382126,35.21415422171233,32.66794428734951,34.741268320252026,32.228197684182575,36.18644572199375,37.74347070588452,42.653806532634334,41.27388171341119,44.99861327212336,47.07736878679343,48.077017210199465,45.02471689942973,41.73871341472374,38.741507072760925,39.143561478797025,38.56176456794856,41.914868027512476,43.762074690647786,48.535936167872606,47.87920649473398,45.53571991945479,48.759155787526275,46.8473569492873,43.74341214343616,42.35073526201507,41.15414208667599,37.666386912725095,37.52340915380807,35.90895794506962,38.7409346768495,35.81773570321727,38.744528287676715,41.07407714054298,40.778673876764884,41.392269408365195,43.62549901482353,43.127470858749916,44.24198119015447,47.608957012229,46.03059216913754,50.39217814206242,50.66846867553004,47.98068733932762,49.22274323347336,50.62264009715087,47.13932301363895,44.51918670339573,44.67201106950787,44.03443030346761,47.71242538104338,48.80652832936832,49.88240959051431,50.15403766485096,49.153767780353746,53.87050661968856,54.031549798611834,54.212451130889974,52.931797874904134,48.42403759050687,52.39697224525101,54.821278023502295,55.116963324881596,59.21628582406627,59.73353839729509,62.28349926247057,59.410723497034084,58.29970331480721,55.71555251526016,53.967788252800034,54.058129505100126,51.11422479353532,50.079123234161045,48.67234284757655,43.90288210132559,43.88305584638536,39.86545075050137,38.963449487143,38.98395833845376,37.58424885836625,35.10632052541847,33.876266787610206,34.55687256567067,31.15342287067511,28.296136974313548,29.761069110165025,30.263766614891114,25.110770773743226,24.240000692527573,25.02076274606105,22.857080954444935,19.679741491338763,20.64222701540238,22.542016684780968,25.126324924281626,27.739511564940823,29.481487463125884,30.791574506442903,36.08989332707814,37.53360452707794,40.47251106490187,41.87104735525796,43.188345396348176,46.4286513772751,45.63801629196531,49.75370452724681,47.4702256455602,42.99211870958556,46.94694036565423,49.5536110993849,45.348086016407244,44.76706886976802,48.879734235398104,47.70810928255041,43.302042807437616,45.01987186671914,40.70122242286773,44.231159953573275,46.00121037146158,43.43005251034039,45.819677498510224,46.45075222105954,45.47676647741835,42.182866381643805,41.10757679589231,41.784265705455695,38.59959297565781,35.923163076195486,35.90884219238088,33.902922847847655,30.879414626210927,33.37255240216457,32.38010238982933,27.971438899731698,28.55781530247488,31.64651075738858,31.97100515869033,36.072308387539906,37.50791922502828,40.679461956993805,37.07937880505102,33.646014169588234,38.59901413964097,38.34453179840423,34.88091620925188,36.36387522058197,41.09305031329908,38.0516731395721,34.62958174945013,38.953027251849555,41.718229715774434,38.37702562065754,35.62832276486325,31.40687052276592,33.53208659957013,29.454803586483983,27.71622235872264,24.669051493851633,26.018695708778747,22.891136159234907,22.556549160266876,26.113624594289973,28.95199641405256,31.45029245353551,32.375069557783796,31.44967657530035,35.438390726219986,33.211624180064284,29.758788333146903,33.70419728418098,33.37866061676521,33.68053669833802,30.637493303976665,27.831173820246832,28.617633623601662,28.520374732721173,23.688699105613885,23.680164254179612,24.810389893074564,25.33628314069422,26.64363151554542,28.95879124073698],[15.350045110901743,17.03214722411671,21.276345127378605,20.855237986017517,26.69703273657902,25.988040433283278,29.53092783044221,32.57559668257535,32.13848878713389,34.976279005059624,37.11319053093516,38.8449691654636,40.24829281615038,38.56093011486373,43.242339900180596,44.92071393429527,44.01308449829143,48.26574447367348,50.42734771628756,53.05043773078474,56.28483283788231,60.05401293989648,60.42298905038111,59.53102851655044,56.8693567892895,52.9259203155441,50.78416838747338,47.228196196165996,48.13528333784615,47.4418833786983,50.454125424597976,49.4049702800554,52.47828004233101,56.609908633626624,54.59060531695452,53.276154370173955,51.8612941970504,52.85312998814497,52.266573804913996,57.21698333869231,54.66355669185505,56.14731780616255,60.2791843238738,59.63056679207471,60.74683591482669,58.93931646558675,62.4529282023816,62.62374789328117,58.38510459793784,61.440613979314485,64.34580269016793,64.55290460577648,65.98167698643076,61.28744317728559,65.53452627429981,68.91999919200656,65.55707392977078,64.21257565558706,69.02620796374278,69.95286047429174,65.68584986369612,67.15385654935807,64.99411363131826,66.76713088444043,64.53739067066554,60.82951478664771,57.793717465212026,54.64090826897797,52.02761867297068,49.48424117052895,48.77418652650451,50.67969520146068,52.65363245703735,56.22884699066134,55.88647718943343,62.175750408438034,60.87725068306341,63.43217680655865,62.41818646378735,63.51122091646589,61.056996148065444,60.34466535908376,57.68641024209242,57.79884138867861,55.13013624631814,54.34461103560664,56.722703375820245,57.16448464605817,57.39110099155963,59.93241689946741,57.68206767023967,60.36326803079979,56.62196328763367,54.19155394177873,49.520838452471786,49.25038669457722,45.05073470809272,47.40584792529522,44.41396897932073,44.28941230173904,47.613612799192026,45.58082423504893,48.71307511260142,45.673626761014596,48.72093926146479,43.569880685974205,44.75703562490428,43.31175991169742,38.769384270319144,39.46601537848755,35.34151829361475,37.6811341272878,35.00542145047885,36.57909199412726,37.93398650380429,38.27378771778666,41.95348312815382,42.410904004922614,47.066118340935645,45.311565050827326,42.28319049555092,39.270096199136844,36.76287227995986,34.66817926920143,32.212129259929696,33.730228964558584,31.389421778832993,35.039962860002,36.43192807604305,41.43670638891624,39.53139420937041,43.292599413955855,45.276657644051205,46.689743852172306,43.38736663014085,40.30437090998013,36.84008753620491,37.51638559209573,37.04185304404278,40.60736800726413,42.31740680985678,47.16262568123533,46.88100121135983,44.538098612767186,47.86406863268137,46.29134549710389,43.10577282436185,42.01627005395786,40.79901594647517,37.63309691478663,37.54260779914621,36.484500448749266,39.446999999853226,37.102333293579946,40.00715889580213,41.93197226084139,41.37233509800526,41.647102230059666,43.792056404909474,42.802421496166176,43.48142605613713,47.05304491963568,45.00484637574682,49.436517716373594,49.25426675570753,46.25010049001277,47.33627487061102,48.43805202099214,44.8617249041497,42.44203386191701,42.76222780761676,42.45332469375722,46.373643294992625,47.75297990472556,49.14298459848136,49.66812395108244,48.975590742423904,53.675532047202516,53.48673361463649,53.55505472877261,51.86948484118848,47.481531570627624,51.11326828229137,53.3372866906178,53.71460936519676,57.82780478068154,58.572915381544895,60.83573411783538,58.00575069453206,56.64873487043464,53.9376266872708,52.25659227728454,52.10402307070747,49.106194930294,47.98119227212826,46.39544049466203,41.71001219115416,41.76579503545214,37.69733779938154,37.259770614461786,37.17972300857775,36.252093733393856,33.6970578860096,31.983150519401285,32.969004166069766,29.90674711228504,26.37834128928524,27.883507713120554,29.12572276365084,23.864957725424915,22.51783597570839,23.640193789679234,22.11316874356474,18.301905341370116,18.858028757480977,20.252034698576388,23.318699979997977,24.892778370132028,27.102982230228974,28.715393286177584,33.84462460156187,35.385192445630835,38.28516983914738,40.06712333826839,41.307941714254454,44.67889214225964,44.04010987252183,47.91284326888951,45.362601375592966,40.922867055887494,44.969200333928875,47.22523074916678,42.86360995982567,42.44120005530985,46.51985384307605,44.95751809623333,40.53475383994998,42.52845069957286,38.38511001409477,42.394794317345166,44.20241938156212,41.865474129930305,44.597651524753594,45.491937501013155,44.70651528459888,41.08389293746872,40.18882362798794,41.310600569551525,38.03907935347621,35.077496029435686,35.529863363927255,33.79837081843328,30.368567057738854,32.798467425871785,32.28790857022439,27.988552701990958,27.942127275258482,31.022863264959405,30.88092910479291,34.96529344680901,36.32647353568762,39.23098610545989,35.51806047298256,31.966530959920103,36.79091967756244,36.23919048599352,32.68261641943672,34.084431800788806,38.658033152886766,35.32481230280919,31.86297068475313,36.21766578020492,38.795243165903386,35.22004786321659,32.43835715971164,28.249324472943986,29.993599254707316,25.815761846380223,24.339598436425668,21.44134746130955,23.360083774914607,20.69929102268927,19.651580023786003,23.224281568340125,25.748691440135346,28.54016333239909,29.82965942231861,29.379738467812743,33.5734212055397,31.70156400583445,28.506500156377147,32.90785655753189,32.74194998376039,33.5689655323509,30.148704776954727,27.27613835412572,28.718228602514213,28.726155831753633,23.45983209167051,23.733727933478036,25.583724243844696,26.368554241670456,27.97796325572321,30.229544279169104],[14.526111063264436,15.494325964367823,19.365517642913062,18.30638194126274,24.093876779036385,23.984716909029867,27.35649553340777,30.73867775934475,30.336336429102985,32.85974160467314,35.21133434037506,37.190652040209805,38.12686226788758,36.37213307936837,41.21901275157202,42.827681190654395,41.59444772637228,45.816561183438345,47.75288130470188,50.37379107297211,53.52243979701538,57.227539907187506,57.52772532235978,56.50503311305486,53.87513090057429,49.993991482737194,47.894316398163575,44.455278877313035,45.60013799580253,45.1374387943951,48.35210511299288,47.42374691556335,50.68606183193057,54.67260503227802,52.479364339880675,50.94470756139017,49.58100797316051,50.24029617523865,49.498453241899114,54.39685667294074,51.682948698724275,53.28429915321868,57.39608768405927,56.595428920756966,57.60522706993556,55.69999239972483,59.1833721847558,59.47250730634937,55.21635019779027,58.24001371048195,61.258377162705685,61.51421970132216,63.03870030690393,58.37373488005634,62.787886853109825,66.05985192439873,62.653550935403246,61.49910653403952,66.32687949014237,67.08847184861105,62.88908811182412,64.5282847266855,62.51561556629696,64.18613884733233,61.81516349000575,58.193027707933844,55.2049908631154,52.191068045174035,49.51653873793121,47.19397261072319,46.40597994747745,48.41439419538594,50.451356022864104,53.8528488029582,53.63271575114309,59.94573130193821,58.501390583442785,61.22324628823308,60.08781307302888,61.02797420717116,58.65727501826418,57.77616018649188,55.29033795198233,55.243924390692875,52.43358353864159,51.79753996826661,54.1403119236344,54.84380685379878,54.97874804297357,57.79956759919293,55.53388162495694,58.3288959393656,54.69269016461187,52.393106398191826,47.673529318909594,47.59870964252464,43.32356492593104,45.749700651437216,42.815121908400165,43.02554895106292,45.9220191589488,43.97439709095645,46.76995381139529,43.76058019796064,46.55982361366334,41.41648535034161,42.71951286789377,41.07917944058775,36.5859171785115,37.440899523831035,33.21303353107449,35.30620952385539,32.690867076718845,33.942606421525106,35.36473094224336,35.445860033527936,39.1612558555425,39.38996242239345,44.17560415245975,42.65317078591232,39.58738976584257,36.659343803590126,33.88489381362435,31.880102134130414,29.596163262762044,30.904878826759486,28.952904017482652,32.420300729593784,33.901714972353105,38.955453251372795,36.87944158750771,40.78712639654115,42.53368858610112,44.1348606375066,40.55732630043931,37.4569847712262,33.833976955613686,34.41554529517358,33.849144538511815,37.49364105905817,39.02351540679816,43.883222906088584,43.77906210511118,41.49887949251044,44.908240646492146,43.548032956901196,40.34072760391081,39.510652578285374,38.42447037357104,35.48414744553178,35.654909076341525,34.92659704480506,38.17662224588959,36.26728488888201,38.93418385432958,40.55035082741909,39.67006285572201,39.85392431288918,41.75014763907008,40.60991676894708,40.90765525249868,44.44405550575826,42.09720761019834,46.582578250136095,46.222350628243696,43.01513192757324,44.17630310230912,45.13547924726131,41.6109326830855,39.16780835032793,39.633622477897035,39.37716493720328,43.46576400386688,45.021403547132024,46.563747188223694,47.32044616514236,46.69158274152645,51.47728346366011,51.01796468170157,51.135726515009544,49.17794727615132,44.99769991487276,48.51519147802805,50.65073812436756,50.90991337251431,54.97027224293825,55.70822976884455,57.84459668096055,54.907226371019625,53.5372719989996,50.819252345934075,49.27674675049413,49.10859340473797,46.15348155827552,45.11500541788158,43.599282843806954,38.92914938835394,39.23312498122643,35.275934155974504,35.017754638661906,35.24659814971215,34.52343336668056,31.707752582829563,30.009106397603652,31.440728647533223,28.377857854846063,24.36767334305186,26.36036638531414,28.16192797324334,22.566546510381045,21.238355340196875,22.945850926263564,21.522515778926984,17.263057394871165,18.24383209966578,19.048161051053107,22.93961343926189,23.583299835200567,25.859378081935144,27.959094555672188,33.00068556887401,35.010943942769636,37.61953140314046,39.352155579793674,40.26908675250874,43.58463029005171,42.74024522632367,46.51113852865671,43.99659674972905,39.29954724979742,43.24604473849333,45.45399035959806,40.97919966554128,40.38995327310656,44.348701387816284,42.753002833781714,38.281882291846,40.021284506200686,36.14222084239522,40.25150867343557,42.27306042138458,40.26911412709932,43.114267201596036,44.37557656250445,43.41989194707223,39.587570581171896,39.1578641199577,40.41039381731667,36.85658434959821,33.98956489533082,34.90906521240799,33.237386881145945,29.611860257259345,32.380650385811165,32.209341305875604,27.865301177515533,27.744320580233392,31.02385140793269,30.50334585273814,34.45128994263631,35.441260701531135,38.34229010755606,34.85327788771357,30.88061323986126,35.51015154542206,35.08282745552721,31.462240248573213,32.396531477839076,37.132438518017025,33.87935117290921,30.05003116855745,34.194319260877485,37.00930030561738,33.443875454564385,30.402476208103565,26.049248556477945,27.89339825440532,23.497159303842704,22.597491080510878,19.224525774797495,21.357036178048638,18.62431411111163,17.03596595695146,20.556300155752115,23.042205404725514,25.80558578951304,27.463124163038916,26.845813658569693,31.134345455562155,29.16907851311323,26.395065969260173,31.13486750027517,31.342147716154326,32.24050657349642,28.44062926457071,25.92939595552483,27.798732793503966,27.377169566860033,22.032184114013962,22.993808731084,25.214771977305933,25.96158913522369,27.69313144123571,29.85978999810777],[16.514262646041235,16.942796121220706,20.31413486910903,19.03058749855799,24.555869040377313,25.226507128660955,28.46246172430027,32.100007389425286,31.81211816332837,34.05435042282329,36.58239392932598,38.74741732602643,39.275921651523106,37.47090996108794,42.44438180839093,43.98429645359501,42.431920905285125,46.600817952034184,48.25905099969427,50.88352151175991,53.91127580573984,57.5267209195507,57.7285127626808,56.52056956055025,53.95686483816426,50.171451875135055,48.14153939180694,44.867591422592646,46.28982697115294,46.0650454426989,49.47678103725364,48.64775917459952,52.06764738608231,55.92124710964,53.568098660153986,51.82976581712135,50.49329305853748,50.804963179727864,49.86423066638812,54.637268124028864,51.75392696317266,53.54223982839681,57.60335400852247,56.58970720654492,57.438975844208976,55.37285848321382,58.78732661309881,59.26728280713264,54.98644167062119,57.89831924186748,61.09379553705983,61.38685883184762,63.06971702073138,58.47918447551611,63.08331623029944,66.2387576426039,62.80867126973275,61.89715463574139,66.72967323057794,67.2978899728913,63.20859344259203,65.05705889389917,63.2163149108717,64.76016577884059,62.23262193595217,58.724914066261675,55.78776863622559,52.945547542758526,50.182967845149285,48.1030863431553,47.20398094054033,49.259174353382264,51.40854594495148,54.630044741621504,54.57481125828365,60.89674297742846,59.32122740460848,62.20587699719131,60.94563192107047,61.71074590442176,59.40724233800797,58.31388114972877,55.97420627267723,55.71379703968234,52.78702557094179,52.372483637754954,54.71497656175586,55.688053991562484,55.764704692255656,58.857929297195774,56.589970106240266,59.47881591600824,55.94631303166741,53.77028002520091,49.02624447806581,49.103669831454646,44.78642728403766,47.26556159546505,44.379360343024075,44.80329497496308,47.36160206656823,45.40458915107501,47.92851851638464,44.853817309108464,47.32314376809681,42.17495222451685,43.420587761314515,41.51938838132272,37.087674279554115,38.22908283245005,34.01832525897821,35.99755807981517,33.57414203824957,34.49988503388892,36.06082251432927,35.832816557528936,39.57632488914665,39.48577136692596,44.41428801131467,43.2057602949461,40.094982832288196,37.299733503878535,34.21243509881576,32.351955061583446,30.285906091730585,31.248407354560747,29.640774926786847,32.815765140313395,34.233229110165865,39.30396081144475,36.862647345035676,40.81610690584275,42.38950108210769,44.31026880193731,40.4856450216986,37.51688090519197,33.57266169246622,34.234051571822086,33.635819934503616,37.40228424654322,38.65633596998696,43.52399842145684,43.72870903779668,41.54287908804391,45.045161956173885,43.97600978779122,40.751702946111024,40.217208996551726,39.223188892138964,36.549074512302305,36.867753756910446,36.47924284927068,39.85236141189243,38.291667294830305,40.8427147182786,42.21202869088796,41.11639802907574,41.15195292918072,42.87995083372166,41.49873194591614,41.41208027818216,44.973952151260306,42.25616182315224,46.77945187709418,46.096644593791396,42.59131349608616,43.72613306216948,44.39249386311097,40.86859114080305,38.55290509656588,39.22710042570185,39.188443801681885,43.48224646930386,45.27172827403005,47.03108895235411,48.016981039514,47.54107870465772,52.34255325483969,51.60197474348388,51.69990652488582,49.41962347589792,45.43603537671171,48.699560248685415,50.66876450742566,50.89950657266272,54.9312862250284,55.7695918873296,57.67287927929413,54.6946350742189,53.2000515271229,50.42248071184492,49.015444830984684,48.69191323559806,45.74216477297401,44.694046620388306,43.091585581451895,38.52840330762962,38.98251828418111,35.066590305475785,35.19719316619886,35.435085377548745,35.089531962646596,32.200835172224174,30.200938416700083,31.917555629970767,29.140895253554127,24.65056740344891,26.724125618220807,29.08348422174217,23.512068279353375,21.897744967671823,23.85516931934725,22.902963014024667,18.364006992900926,19.038825640402578,19.34767565759653,23.542873556444825,23.20675954867239,25.864216949096274,28.202138683852517,33.009489853419005,35.06756695446145,37.612320988106816,39.641124435739606,40.471436125608534,43.85286213937007,43.10539742205749,46.65235002926868,43.95748891978156,39.30129179846581,43.265893236788045,45.17480549045806,40.58967755118542,40.1026703568339,43.97696320559235,42.0573752199171,37.59942291903382,39.484553865579606,35.8602037138505,40.308384103039735,42.39039553436483,40.638408337076946,43.706809998163784,45.18469324696172,44.32863576400693,40.291933876228256,40.054052640184274,41.583259821233035,37.97191845014571,34.98541575270622,36.22843790557236,34.7411297665042,30.92018646765934,33.633722330369785,33.769728408736356,29.556323675583496,29.062877480632487,32.280164600249236,31.452061689840296,35.32082410536552,36.22172059011033,38.90079009925897,35.38562511534291,31.358152893149885,35.80088483820661,35.15959972246859,31.509494322000798,32.305461034833435,36.872878103261655,33.40729836644431,29.55103736232713,33.62919746966373,36.28034099967544,32.52443299902387,29.450262840464198,25.16715737868239,26.58422094978344,22.09386015619253,21.634036389362308,18.42969621192253,21.116657340338516,18.867096107321125,16.536874129056702,19.92961289054806,22.020043879810586,25.00578578232564,27.084153773777565,26.80148893191224,31.193040920496415,29.4553253928608,27.049003902006117,32.06510491891841,32.44859663785905,33.6174924372897,29.598258129158296,27.19264779635585,29.44327474090602,28.975432664995687,23.53436616648718,24.742316900173037,27.28414266830985,28.086202645014094,29.88801327913038,31.96332997485767],[18.781114102877922,18.534407287503626,21.166173066883164,19.691417392534156,24.707014410643804,26.395707126750064,29.43910861805304,33.350021222424274,33.2909505493807,35.19326099684922,37.96290990965425,40.30563421317461,40.29256896983165,38.51962093604235,43.619526164364764,45.01178149214541,43.06882775058364,47.170414843472365,48.50484391548985,51.05885131320704,53.94821304027311,57.403326890117825,57.511576587167525,56.07703219794196,53.567396444512575,49.95138646914093,47.96708345298527,44.9228301242122,46.68181908966111,46.732465031086114,50.458310338208705,49.68813305936084,53.3197412183811,56.996771731965886,54.41353719921531,52.4342447503172,51.08340303764615,50.96588603862995,49.760940522225006,54.31050950076982,51.26333345671799,53.3371239137567,57.300169415059415,56.018849801258035,56.6943432975597,54.43506064427462,57.74197204151975,58.42328149247572,54.11038459760844,56.83465206698437,60.24129974980667,60.548955689050224,62.43240328030771,57.97099378846567,62.78893628886569,65.80885458949903,62.39360592023056,61.792231502501586,66.61357105830261,66.95816105272053,63.05496510505508,65.18959451358559,63.57755137795125,65.00548779407158,62.26302059745732,58.88915257350742,56.098269640391436,53.47087376156524,50.67289172758297,48.92068062582177,47.9290525106623,50.095878615843034,52.3156919349222,55.274314928645204,55.36742155700231,61.66908996554597,59.87111625494077,62.940213209754965,61.48433021781572,61.994415630686596,59.74357542029931,58.352265421651275,56.185119176081685,55.618000917823004,52.56722557341254,52.47578791826234,54.853105401433936,56.16202075974037,56.22090399288161,59.66424430693846,57.44886823790322,60.492712660466196,57.110387218729564,55.079274867148904,50.32032524128047,50.63908861029788,46.283893573527514,48.73552872934785,45.89462145155079,46.55460230031835,48.641055541992635,46.62422957844658,48.78361765100913,45.60041059311573,47.601389753133105,42.47480434148613,43.61418018394472,41.37761503589169,37.065417932831224,38.580087413801024,34.44360692840077,36.289839872114364,34.183143527572504,34.70793094539106,36.5078699967029,35.908191956927325,39.68534717799443,39.21810497626594,44.352292440662,43.5285188915796,40.415980776832924,37.78619539202353,34.32071367458553,32.60408625208562,30.787581586319224,31.22145989732094,30.014227206849576,32.75359572638415,34.042823711103935,39.0819402757051,36.176497129743936,40.14327150119858,41.49377536646206,43.81901838970355,39.721826566224,36.97428576997103,32.64243566018665,33.45757361908068,32.88848519882271,36.78276845597203,37.74887315154914,42.59336368374534,43.20001500425173,41.10814258187076,44.682733041920955,43.99484928605575,40.764475949533065,40.59377605050207,39.68169383170924,37.38687705961544,37.84856175562752,37.94020325485869,41.421661236642464,40.36013408467788,42.774748792630824,43.785012002580565,42.42853980975462,42.22472396638771,43.75545640300703,42.0172428536213,41.44341563328553,45.06134817251253,41.889210075221044,46.42114764366015,45.29940129343749,41.458287247788974,42.50068837499951,42.799908987423855,39.275419731248476,37.16834284682263,38.079479245923174,38.3511519031137,42.86225628852207,44.93705367005237,46.977059159449105,48.24054868423382,48.00565257813256,52.770688561316696,51.6753916141656,51.71790865913135,49.0392684429457,45.30888596244894,48.207160603960475,49.94557752325201,50.18044862386933,54.147916194917805,55.14308149244806,56.72915310288813,53.75741236875349,52.07143969682395,49.2171145033412,47.96373539557592,47.42565458406875,44.492651061801865,43.427129424105374,41.718986716090065,37.32460438898125,37.96103014695636,34.13809249107498,34.76804283585849,35.026662301259556,35.17343584701193,32.21643486717058,29.86279739282606,31.94680062346235,29.565957422046143,24.5300853022197,26.707301872265138,29.764282216472424,24.29724282699448,22.38942101930927,24.67348643255102,24.302292085598072,19.530088001402063,19.90106469838174,19.524846209595033,24.08751401173179,22.439144149382894,25.485726143277578,28.14755519092558,32.586274254379965,34.777170868281615,37.15524604468236,39.488129704483605,40.14876774836782,43.564745599147145,42.90828251155637,46.148632069247526,43.264008934895635,38.653730141177235,42.59787758185922,44.13047560733476,39.427881230768875,39.04910755717741,42.771466736664216,40.47992802977895,36.07374242936625,38.09705171827332,34.84114696574557,39.67802537272199,41.83065462775992,40.431425956528784,43.76169328818792,45.533002690933294,44.79075877532159,40.51296814817188,40.55903449407977,42.430256164099546,38.756312572991135,35.658413641355054,37.33733088560064,36.09892594182331,32.06301987711152,34.71999606412602,35.26944874279877,31.258760948952123,30.326872729446396,33.45874200595784,32.2212387315183,35.92111982804987,36.64609740458988,39.0339316916101,35.56703711127756,31.45745760241196,35.58810898267672,34.724135999945936,31.079437448286654,31.622893819261176,35.95670905218621,32.30483538069845,28.40580795270693,32.31384713552178,34.78167187988278,30.847731738109704,27.72464450509027,23.571207535355548,24.45991602352019,19.895209296929302,20.119054134408557,17.134119905638688,20.447637343460833,18.869655511560254,15.661705724685161,18.74057359738026,20.25385030524938,23.463170296149407,26.05426263159879,26.19895941370239,30.657423397323544,29.255131282664312,27.357476233905974,32.65618377036739,33.270000793838975,34.7973732292933,30.528391706317617,28.295008426853933,31.0220529929235,30.511966018185834,25.02202848268662,26.530089343507935,29.46606873660535,30.36009491100426,32.29806518738919,34.248962825659845],[16.44474833759548,15.421402124406242,17.401699165063736,15.355715576676811,20.09950548108718,22.285496924537505,25.122799275029273,29.201218573543336,29.312323811976444,31.006661243870823,33.96649362325043,36.36158675996966,35.98412900654868,34.36489732800593,39.50830586201285,40.73371423365383,38.63035849396894,42.75030758883608,44.08083428876447,46.484673542540584,49.41302038369596,52.772680004977765,52.95737207536323,51.53118233598787,48.92612106808247,45.37821658523259,43.2855565828274,40.2779272966347,42.10219296990881,42.21003712018074,46.17664583012764,45.34056505306945,49.105872410736666,52.68782027205851,49.95877687191621,47.90190198919504,46.48761422317464,46.250933211524384,44.97456434387782,49.457349693054816,46.44132976062913,48.61174984936382,52.53650280656304,51.24772789990465,51.99518052632159,49.75307102487267,53.07039373844201,53.65953448762258,49.31211642762788,52.023337011031046,55.40163907654946,55.68166763369206,57.56858951531588,53.11040402699582,57.939554810319535,60.96685764584893,57.589460943068495,57.00873734438734,61.8227507894092,62.18113677490663,58.34359008750027,60.560493169064706,59.00518603779055,60.50635457736429,57.68175486263428,54.28364851474075,51.67379918112538,49.073995465531944,46.414439586339455,44.790833037427014,43.886355094348055,46.25074770717449,48.31986075360393,51.13344544229914,51.12569119126469,57.38541221678417,55.40040475792853,58.50177091712513,56.918076657190966,57.314363633008725,55.039912637493245,53.55499838172147,51.43604567420583,50.79746016591642,47.715741139874055,47.69555233448574,50.10985515398129,51.50929302909426,51.62426568634931,55.205859794738764,53.08757458252755,56.27432228520281,52.976663346609406,50.98892554684043,46.23085519233942,46.77282658977253,42.40664233793808,44.701553081452374,41.874382909836385,42.71218027213538,44.42099735440867,42.415611009665334,44.32241764862095,41.16123014329845,43.002624199613855,37.92300725660817,39.18525298255765,36.896168756287935,32.65243212957501,34.18803364546679,30.003039475493424,31.64509157249485,29.634989853309225,29.985303714895036,31.929779694014275,31.251235092867653,35.0857971820217,34.62271743657062,39.90852809398211,39.10629199470722,36.07937973541685,33.437614859748,29.85924062070601,28.057368101426828,26.25190943866306,26.435998912507166,25.417163963833588,28.009303398474483,29.373966209591924,34.406344450729286,31.54298465662692,35.62332403164164,36.82238700293159,39.129794749999114,34.93018530800707,32.125959858778025,27.824111543011465,28.56804298822646,28.039686732192326,31.94037417906925,33.04973104403499,37.90509253307687,38.496649019641595,36.335423515941336,39.87861077954007,39.24795215556764,36.01244378145006,35.9297294052222,35.040708795236284,32.936726799585486,33.53119592811665,33.9259164905073,37.55160139303675,36.9400804804094,39.13340895313043,39.826580687266095,38.25762255328398,37.92829101784577,39.302819001029704,37.43199605911897,36.66158345970362,40.28401442398767,37.03215349558515,41.55776142182354,40.41402689768493,36.61491355540375,37.67494449210506,38.0773420900956,34.571339937973384,32.36920841713127,33.243619073464025,33.46467613798263,37.982655480495524,40.08576858517275,42.16939554314679,43.52605036393223,43.35067329660677,48.114313722216195,46.895553997196856,46.95770855162863,44.197203375472,40.55977921809804,43.45602132539692,45.20486087035358,45.35088487725624,49.306443433859826,50.267009589174066,51.87484750672179,48.89253173022281,47.22782473937784,44.391901369506364,43.15428396406941,42.69720469982406,39.79626659329102,38.82661162751287,37.27729131461809,32.82215094636725,33.64533895458656,29.970044236712372,30.521007754529457,31.205160384805737,31.336399514135003,28.130707318487925,26.07736886185789,28.543758344791026,26.01183656392485,20.779354331945196,23.573119666706784,26.91147006257498,21.189086795382675,19.624323686373664,22.47690718511656,21.941903832916797,17.086667312805112,18.280637708342645,17.39603147847982,22.707733982139924,20.635358713899556,23.218473492748135,26.32948968656354,30.748697595671864,33.61830059916979,35.51816114894142,37.37651407371859,37.605201374119154,40.81621569315834,39.75108894049192,43.02732259640534,40.42917701905767,35.43212353774667,39.15362882614069,40.91956822732283,36.215550836421244,35.46353770778803,39.07043382104579,37.10902591328658,32.64418946005176,34.09305393446292,31.000678605457697,35.60869696418288,37.99202770015218,36.86442803191181,40.11832793504968,42.204804884830466,41.15403330959001,36.8057636438709,37.35355210900002,39.16089862829713,35.211533412595756,32.39285599719785,34.44889014997931,33.20004626838308,29.145260974335084,32.23769798725836,33.01668098071708,28.98889667813523,28.25781508522951,31.62479595134778,30.13974990922182,33.6001164966668,33.82944197396626,36.373120882899364,33.35813104477802,28.750931080033585,32.65572430920425,32.236958501800125,28.60849792126598,28.516823721180955,33.22328865152695,30.0293903213834,25.616107412377627,29.163124547675082,32.19742604585527,28.603795832232535,25.12416389656108,20.68334892029041,22.324739950257435,17.62580949358415,18.372886467998566,14.39349378089519,17.338985647388803,15.3544348241138,11.929334360646633,14.855159820381733,16.670794771264593,19.515074267533677,22.252363082590243,21.853291436505515,26.2909091768919,24.665378992073947,23.14720321652966,28.59520628107205,29.572831943899637,31.02359488796882,26.522118421783823,24.76024975797645,27.763448324714275,26.823486100649163,21.494939577997943,23.655204652444635,26.790841731568396,27.59985069731899,29.603781873515857,31.422869425057396],[20.217176609511345,18.939120107487383,20.436963530613312,17.691307527155924,21.910966475087285,24.67177750514352,27.05026839182192,31.362622759637556,31.272861659608036,32.41852846345761,35.42601635356381,38.16222099600438,37.28858166702496,35.387662845162424,40.6082813883404,41.864754342525885,39.34548960349535,43.24397186133515,44.07082824458629,46.61402349571152,49.25662332866001,52.56538174853099,52.50131043278609,50.82474291437988,48.44612689747094,45.00005714884887,43.183845395599505,40.445912065572244,42.64723714059976,43.179618993376,47.12269746662864,46.66561447851753,50.534602598491,53.85822842859335,51.03840212058657,48.67261447145027,47.50866175103499,46.730245901064244,45.26185043283796,49.67747908494934,46.31375393368003,48.530686444659494,52.417081004005816,50.85792883262602,51.28015071256538,48.868176639063016,52.08776712082901,53.01386189101054,48.753465306293045,51.40869243212433,55.00466995629391,55.456209563419044,57.47581557421667,53.107768167294104,58.197564729374214,60.943258865224635,57.43742550004757,57.20771263042401,62.00721376719754,62.01332140346925,58.244267199635935,60.652406430769396,59.32588360683757,60.507375948693934,57.55198212959664,54.402911677752606,51.69098065536221,49.38460138131239,46.48768915642292,45.19294398564092,44.04776395447006,46.33147259394952,48.654537931865974,51.231806789635314,51.59414502568978,57.83611139320764,55.841148883011385,59.18552962167504,57.564620765908735,57.814076193261805,55.79906202139684,54.14887622781208,52.39193044758342,51.56097613771299,48.25564942353577,48.418279327966744,50.625469544682794,52.42182829980928,52.23837613443164,56.13555471934571,53.88498007513337,57.047515230249374,53.91445207406507,52.17888660317597,47.44543938229816,48.07311613932743,43.70975901085868,46.285398383045816,43.663778542099124,44.94235300005698,46.231306201521576,44.5185494609879,45.991787431228026,43.040743313751584,44.582226841428216,39.636411597042226,41.04878171772518,38.544815788942394,34.49907908546558,36.200723622236175,32.00509363149044,33.17481861282681,31.223715538075936,31.00370386633503,32.77856607475431,31.621451562383232,35.30659296352222,34.330653949089104,39.575497027428604,39.262524200700454,36.143138788884734,33.81083054499637,29.91768880669916,28.538627850741126,27.269495961337586,27.27435517575612,27.11103459608483,29.30728722630292,30.801297902134685,35.73838531172362,32.64169016244826,36.835688673270525,37.58656423802446,40.20953838967071,35.59884327771929,32.83356575822775,28.334437483409943,28.783183354552555,27.92814483401264,31.872403849523316,32.311730078752575,37.09221532329014,38.073127231377285,36.20441529449801,39.897909568486476,39.6671790039664,36.49265783598461,36.888770780440616,36.334977804735544,34.56429428722871,35.581576540856766,36.213590604290815,40.11068771559544,39.77257408193282,41.63937301784294,42.119686256398914,40.216915979097536,39.928793418905364,40.88538295195032,39.009645128635334,37.674789606289494,41.04712342086007,37.336866240025394,41.887531355029914,40.463713059725755,36.220848125188844,37.49982111630872,37.4749715967071,34.16882461293079,31.98568658563678,33.25961211712275,33.58744973595994,38.37892231284191,40.77372254889004,43.049110727156204,44.756989602006435,44.578064833311394,49.44380567755987,47.856688741189664,48.05175400731308,44.89407113436395,41.70888660430198,44.37147646249286,45.9236445081574,45.83100952325409,49.62613446880082,50.51692822783064,51.85550169241822,48.634805863908504,47.0003948584647,44.19216492126819,43.301869874365174,42.788638301849836,40.028650491351314,39.23251804475226,37.78461052967416,33.52532783253769,34.7535629277155,31.35707122500621,32.28556548052084,33.27189812392286,33.74100554239485,30.37325028282117,28.307016781799167,31.17375829040152,28.846990916701035,23.30933385498963,26.362928934945213,30.133397719477784,24.471711860579486,22.91130972012038,25.977829863473907,25.637939957859643,20.780676699621612,21.937087431693325,20.67733913380802,26.13185459934897,23.166444813275227,25.951871888490142,29.297275200336642,33.37331551152164,36.34795868448409,38.0774611122084,40.10552047274583,40.12455867427382,43.286557027078445,42.17885838743457,45.19446235785469,42.54133783596266,37.51352489246493,41.090114324462526,42.575000991722014,37.7985274773255,37.00787858786705,40.35387888695888,38.14837277792146,33.77260984225506,35.03280495393438,32.5020596137699,37.273498679494885,39.83788938158809,39.14599471907485,42.5153072591801,44.91693409961877,43.788916285787224,39.303626481296575,40.24357892292163,42.1776574403107,38.09529806750677,35.39434094425585,37.76233551629296,36.60017609767705,32.51006412253265,35.683290637838255,36.66200568436781,32.71189180320269,31.895147802364658,35.23266194700869,33.53270511189528,36.82709927622495,36.83837308168982,39.212735753144095,36.34966786773828,31.64666651070247,35.21823992659761,34.73768541858714,31.167393223668785,30.70326432588037,35.234460439755594,32.00147778540921,27.50856274793096,30.699441638956685,33.65336346225504,29.98699097351987,26.430864486709353,22.170667118183925,23.283948445329923,18.58347463865695,20.25558001718361,16.509668102057606,19.820344068296254,18.263808588973518,14.255561660174816,16.60201910097598,17.777775766773864,20.59052894997288,23.942378377080423,23.569158840710465,27.935609726948016,26.311362439184794,25.523680832216,31.11504429199853,32.43627081123346,33.86625456090579,29.17941595873715,27.86344412131203,31.05378589804322,29.722080584794092,24.63748051510946,27.205662853070432,30.36856924908037,31.063499489652713,33.00492486535997,34.70915484825854],[21.221929540793898,19.239562862420403,19.689693275404874,16.637410185871996,19.82479134310767,23.599037468214217,25.569338722711283,30.025147785156896,30.245275699724022,30.98512246167051,34.22603532198687,37.03151079444161,35.54575649122226,33.85596714019749,39.082665126907465,40.07457870543867,37.21049847874811,41.02446814033393,41.62426994724891,43.94798485412874,46.509995000057806,49.58964879975724,49.53842642043976,47.720197885151535,45.30484200258384,42.075087214437715,40.20415766576994,37.70004211265132,40.16596156469877,40.91758393404062,45.22978462099082,44.737988618305536,48.801261567743076,51.911012238220465,48.84944082119129,46.29596196169964,45.06471158191229,43.909136885017745,42.202172225036776,46.34645736089572,42.92687312301828,45.43489346295522,49.18276306731655,47.43411329817186,47.798315510870395,45.26746597880755,48.39655886069076,49.38134708447485,45.08270914640352,47.562079346580525,51.27262032561209,51.69945441292364,53.86224192802608,49.6148457911059,54.83070943989011,57.48798774225564,54.054316757905326,54.053650373241524,58.81114266810523,58.68819878543403,55.13068515625874,57.79300301646288,56.67427774231094,57.8461467862386,54.69263572407165,51.62875478617521,49.20742057452804,47.085999736728816,44.3257228117508,43.37155594187943,42.264097927213555,44.76147003507126,46.96424551456579,49.224578739303375,49.58009463928713,55.716523894423744,53.428137756057666,56.88550006221424,55.034809354034586,55.01196270324221,53.011850647580665,51.085749240920315,49.48420144505554,48.382783667364706,45.002492922292156,45.462733868073755,47.72121198261883,49.79786556045246,49.67270457903522,53.87617678256697,51.77290069237897,55.13264661396913,52.187406625169544,50.583485389839055,45.89879506562061,46.84979589336164,42.51976108093293,44.88934849154261,42.334664910245465,43.84536426418881,44.53915239638398,42.7936958674089,43.823223707652886,40.837882357846446,41.89650615625237,37.07893294170403,38.47346645873275,35.72717145275206,31.911895180059663,33.86852496811601,29.809272360185783,30.692429021947504,29.12488540205591,28.46672505516189,30.51694192692204,29.039084224469686,32.7265328437064,31.48208753589251,36.946205132769876,36.93525777207346,33.94959934026946,31.772838629036894,27.591313715954662,26.285568407014935,25.261004543577904,24.60892748450734,24.93593355444974,26.57334533803293,27.9775791458863,32.763541847571325,29.39278036466251,33.60933123493577,34.04747812243035,36.93718352374798,32.097195884591024,29.519592257023024,24.802500320351736,25.31300021444103,24.54263811119817,28.530766352296148,28.854247636635655,33.570141477019185,34.856459413734676,33.01825101743129,36.68814684945926,36.80104561612218,33.66617969618603,34.3965576460245,33.91954704140063,32.6197674618669,33.79415840689572,34.96942440545608,38.92938737616154,39.232246284405186,40.84526562399068,40.85899436643764,38.68111875064761,38.125669353658985,38.828523227656824,36.613660869562274,34.791410319768055,38.16995324561355,34.09815222765164,38.589443496520346,36.809731636326994,32.37087745321165,33.56648119651147,33.32268102792654,30.05251894783101,27.991260028238255,29.428857543087496,29.979859175230406,34.889294704377846,37.500874327089775,39.99882197524682,41.95624866112211,42.013607032271224,46.78138249020305,44.86721811941965,45.02466615139989,41.54145144114494,38.652695182973034,40.99867435377035,42.36585424527136,42.21423763557294,45.92519914348759,46.91359812087508,48.0218672845972,44.841155620575464,43.072350177346756,40.23415063246531,39.46978680526552,38.851549906885054,36.154383608207446,35.432628260518925,34.050480483281305,29.942029227430506,31.45911167298738,28.342532169340092,29.577277790114174,30.893322841503284,31.69463359399558,28.195996783214603,26.18210249407095,29.499783190219244,27.42886434369519,21.64255352286903,25.067527021798206,29.325174651714327,23.839756491719033,22.429016311049057,25.88225642143514,25.79406902850405,21.07729256643376,22.470814631972992,20.59965102428631,26.39271153140914,22.531126533636645,25.070107026159004,28.77841902017177,32.467105504862054,35.90911420576186,37.16686340556779,38.999058653467785,38.59799586602471,41.57149286388011,40.244773094354024,43.032016944668605,40.50985558878786,35.32059886576641,38.640538033971325,40.016466502558664,35.241799977827526,34.248539481583705,37.32888167783071,35.14913942792126,30.850992512517433,31.70561132170596,29.66266959333568,34.43646923687783,37.1832227085366,36.96189813922394,40.38857512416887,43.17072212197314,41.92003698167675,37.30804614893876,38.77602613468636,40.84870826888091,36.62481407008974,34.116536171235616,36.955827274827215,35.97296131995424,31.8602637303232,35.18663894753515,36.53394979168277,32.80600464897876,31.886973509960203,35.222376492485,33.174476941428864,36.11258729966933,35.67334035005664,37.91402493386093,35.469165623550715,30.510496778845805,33.59894398793511,33.31265610454728,29.872812031518997,28.769662010922797,33.28688398153709,30.372799828228633,25.612166762377885,28.259405066952983,31.453333869211104,28.045846023308705,24.291479849028434,20.112913398253514,21.374094427460495,16.81227624021394,19.36056184480235,15.369207778522627,18.522905500042548,17.31857109498783,12.950832405687574,14.476977531447456,15.22111121280641,17.669853430539614,21.452581241334695,20.976687209779183,25.18179725521752,23.708380738440074,23.68415138722143,29.352366140398004,31.048733193898194,32.62237060409943,27.775676164055625,26.962787543850677,30.51242264734774,28.93599699910651,24.17466561209677,27.199341359932287,30.596045418053837,31.28662644547289,33.29717436033819,34.79701656602417],[21.496459412638913,19.580402156504647,20.172478976104365,15.900073506322434,19.218281957982676,22.350966642926902,23.805739866057802,28.346309818026892,27.914951503012407,28.2069870936635,31.265689008203164,34.40833294190898,32.81596120685549,30.644844682671884,35.88224095523318,37.11272177361756,34.13944145509945,37.775090559559374,38.15898998350439,40.805950281985425,43.216355669407406,46.50887986300917,46.27643525772452,44.490317155778975,42.2607794287965,38.8445875815481,37.26529074008939,34.733743902403454,37.24726182772878,38.23111227201576,42.10278397613616,42.09660381973734,46.061401943177245,49.034725538210246,46.13877821638633,43.45120872772845,42.62374463606738,41.311794412566634,39.753225193701624,44.249803629491,40.563309993588895,42.63697944443855,46.534722622350046,44.86182909230986,45.08476367080881,42.66321358057917,45.88749959799343,46.96953790253528,42.83761003845017,45.633718552877404,49.27193580475576,49.93812397129358,51.9207349693557,47.539640775300356,52.79541119453992,55.272016690949215,51.59388672930221,51.56969381286327,56.35571021465255,56.098024511022885,52.2948913254761,54.77858776944407,53.62158451969195,54.53713807367485,51.512064774405026,48.56000827439702,45.76323157362125,43.70850335679579,40.66318513391872,39.7049317274931,38.40396001897347,40.718341464657,43.1446310011449,45.444720734244115,46.07779081125506,52.261244848715144,50.242874300814165,53.80183780877588,52.17218130923632,52.33326685042139,50.63421558166234,48.949214078559855,47.62946042804955,46.76795711172095,43.21901649176408,43.37533022337978,45.25430015186022,47.411755801712474,46.8498843806826,51.02838557630898,48.64646634013276,51.793490901196456,48.8705976217657,47.43236116962923,42.77161764028811,43.58163592038633,39.27141436984819,42.088070228457184,39.78021201599826,41.73575166304244,42.34752869029145,41.19487709572375,42.03544130079313,39.59783207747028,40.98567253105444,36.33436471122557,38.27408383104737,35.79225428139368,32.0638493355731,33.578764643638465,29.27323891901344,29.510503711892106,27.427663235848847,26.468608380206522,27.844254495593347,26.204889475716875,29.672758862646305,28.296938983077492,33.45383925270819,33.52117140619669,30.36862192564374,28.34442235444364,24.195699881473214,23.26206822909795,22.670392022997255,22.667934493567326,23.79343797135856,25.610785961559056,27.58656538782712,32.330365338200515,29.559086574025073,34.02236020158972,34.11364032867864,36.67105646539037,31.63059068771748,28.56796391654602,24.37137335169797,23.9370176106301,22.492193559736773,26.342721298114615,26.20669799372395,30.93420225620849,32.016059978928965,30.4170262831658,34.236692192053205,34.275931454356474,31.20574915112826,32.08897025912562,32.03910626645322,30.66050585922231,32.388094756923614,33.27689805349619,37.628644030273094,37.79557216758628,38.97987217867698,39.071469977753566,36.649274846793304,36.527112227515836,36.80750432216389,35.1755449557435,33.231074762395686,36.1056099686641,32.095067411168806,36.66542377397081,35.3274930213267,30.85414839393905,32.67312721712228,32.5955084181656,29.685092059608753,27.09527338253013,28.661053508100583,28.648049987257725,33.60466891037722,36.145206199594625,38.43307825492751,40.49846122591891,40.1024379564887,45.15943501366777,43.24136295215843,43.74798043221208,40.340793539250534,37.722940828745685,40.451574829257176,41.985745536649986,41.37795864550397,44.96120062242743,45.482611080281536,46.82918107868665,43.20003477988608,41.90668675979084,39.28040301495528,38.77300782713396,38.58401296012708,36.099979581663874,35.75832879640208,34.86058434888913,30.667186454513907,32.54311453876162,29.736003124648327,30.49458124176547,32.464113573028854,32.833528522548995,29.04456935500929,27.828667651573348,31.269307361503238,28.67519085453643,23.242853597566928,27.19874275094557,31.0701064101177,25.259455370175406,24.458165458525333,28.029079192658116,27.243650445072795,22.695336004910597,24.886259631359586,23.295114612928472,29.21045598865578,26.033683665602453,28.099703704032798,31.83146807555022,35.74151081327127,39.42200109071566,40.55898632864705,41.927604670553684,41.33218884148402,44.10072807793916,42.34699461345315,45.342718140507856,43.20839125060004,37.68244816646364,40.74403976625125,42.53403148746707,37.86051638072232,36.429992530318664,39.370654461755876,37.72357665239101,33.43035324500592,33.45726987596812,31.580443385763427,35.72840783711025,38.74449616811416,38.64144425340681,41.73698571954723,44.6403780181913,42.89480995737086,38.44810495236864,40.26954168562318,41.912430785665165,37.41419322988114,35.407617031467474,38.190517579545194,36.907849181900545,33.04689199078277,36.84535893315582,37.95035866531467,33.97701239976972,33.7055308791873,37.28678886824405,35.44041798177503,38.3458235427008,37.64885575338867,40.246273951402074,38.112784795318554,32.87132575916433,35.97572270326896,36.18971676463562,32.78126172339925,31.34557505127615,36.247305174648915,33.771371954089155,28.73961061382065,31.11204904553498,34.786601768731565,31.71033310642752,27.803768998935592,23.47376699949936,25.324250621575302,20.818881934275236,23.27864552050826,18.77098458369148,21.24644180039251,19.163205186665813,15.417690024440784,16.92706713189461,18.220236562087997,20.007873076788776,23.634705940848118,22.03453482682987,26.0269242430521,23.688827727693226,24.023353690923077,29.55748150012819,31.598910160391007,32.48390176260077,27.57209440837094,27.41320913581792,30.655136938522972,28.25237501058515,23.9765237965273,27.58260015164185,30.565261675966244,30.886534294514288,32.6464906252011,34.075040920146314],[26.217030554063967,24.114887180494325,24.214356901386388,20.202280770199955,22.638674426755365,26.589585252686458,27.73522819013752,32.32521572916471,32.0651224809011,31.915541257764843,35.0587635772451,38.33900870512595,36.18511814052379,34.02593884706658,39.20862458811767,40.28187745015752,36.87320497111493,40.22366225570207,40.02660993510474,42.596604025431084,44.65942376924878,47.6883536183771,47.22712380071455,45.08861243943681,43.0903651764054,40.002688183429704,38.66191382934456,36.59728889507809,39.557019426110436,40.96352602071768,45.018009579088705,45.21179079806864,49.315548487960655,51.975922017258476,48.887720917682955,45.90256532697571,45.18049515582353,43.23657034567603,41.34752165695085,45.45899885241254,41.50388216716484,43.87191415149234,47.56263265140244,45.486896161149794,45.33406454819347,42.63861176430424,45.62816615554563,47.110561628522156,43.06177059854828,45.56027459270092,49.49753865544368,50.25838101212379,52.50110600111693,48.37886378593791,53.90599995238022,56.07009345726734,52.398663021103424,52.87760646601164,57.573894836369625,56.912628823238286,53.396816371738296,56.23507282427716,55.43433566525106,56.06708947726811,52.80435420923669,50.16426471623741,47.52146094520465,45.868769119511526,42.74804130503535,42.28861458129947,40.81808136972177,43.12452327948083,45.686874661095985,47.573822713406116,48.51502167758813,54.55257071856161,52.355080454890164,56.140372046417966,54.33152422149821,54.16925480174062,52.66271109558618,50.62838352430337,49.66052544351133,48.41325994326103,44.71108015421791,45.29208157181887,47.079232399002265,49.70342476586919,49.01151757216983,53.58626148611049,51.24207537979714,54.46325847196324,51.79795563681502,50.617839453919956,46.054404804831606,47.07785744539535,42.843444329643546,45.67036980394556,43.521457678853764,45.741057221814025,45.828923441677944,44.72201535400115,45.08690718080158,42.65727666094421,43.444015419517456,38.98079540629527,40.78218866325958,37.952041073268745,34.533190788899034,36.43674475586035,32.37995909792715,32.361082412801444,30.726317498709818,29.22456562681581,30.717558235626846,28.567624414024195,31.82310388992335,29.82405541367128,34.9785174784421,35.70598771072066,32.63480468609678,31.02720663386498,26.568543229500975,26.056471514110672,25.980220674425176,25.338692459287344,27.080564721884034,28.20387208386053,29.961551073302303,34.431214409310634,31.154867664311755,35.50176760353043,35.161929763105384,38.233611228130854,32.884690278073535,30.23200711720717,25.69642879510976,25.33954591101976,23.856002862224294,27.661667163227236,26.787028236441323,31.249537895444107,33.00745166278467,31.739001325115723,35.576322481277785,36.23273256204881,33.30157604172663,34.73507641408639,34.8889496580491,34.04595136892321,35.938688079837604,37.27379315804428,41.633293114674814,42.225923258916715,43.24152904187561,43.00266944113829,40.34690506108432,40.018503905710034,39.995349358868815,38.05602857140349,35.47904367009757,38.220695673445135,33.642793670746244,38.079536660143575,36.13382563312878,31.15886008700298,32.92343562202712,32.147861537616706,29.443925077056193,27.227085640278357,29.253379029302145,29.682931910853892,34.84040937987078,37.75581160181502,40.36726884980404,42.80374439057587,42.67084827021886,47.602516798619206,45.221896457656264,45.70531434258687,41.78536493907455,39.69246518256694,41.84959914033832,43.005828210933736,42.317020330143244,45.68335627935523,46.345205081534495,47.17572259698737,43.504395402462585,42.021732097876225,39.37158855742192,39.230504020379456,38.76086735472759,36.42892245272854,36.15791343657449,35.205278053610385,31.442815356944877,33.627379767509694,31.133668692875748,32.544352075810025,34.51510478790117,35.46952046656291,31.743405839422323,30.179362749384364,33.90337264098421,31.84816572406339,26.11579200467544,29.94465225208229,34.349940448233895,28.880183035721615,27.79675952303767,31.43599920950747,31.189420376358683,26.608761161860066,28.331100147773185,26.328054414161652,32.218228211445606,27.975082669462417,30.369642632855786,34.25002908339601,37.643070680197354,41.30592403709683,42.27031551794761,43.98413309853415,43.23011823899325,45.98385349688975,44.38297962797876,46.93351490020116,44.61061933940991,39.28343975860858,42.21765754420383,43.46720356704943,38.760738768715534,37.48776776836724,40.09714301185473,37.97981416703632,33.907242349426575,34.016927220273324,32.83116859921883,37.330229855303905,40.380381723821976,40.7535461941458,44.08243250025283,47.263380977491146,45.6840995683482,41.06994896835435,43.1544406613301,45.12845677064695,40.67919319675149,38.59403436386809,41.71234034564877,40.69384606053697,36.71998783733658,40.32131897035507,41.752715580216325,38.02182706221485,37.33983144263042,40.743170614453724,38.59128366280967,41.29900829226503,40.48463358270366,42.6950471885489,40.63003984941998,35.4901242533169,38.160640452813404,38.09534281250578,34.80750031478844,33.13242669920716,37.56209339019207,34.94239769109493,30.066345350573638,32.0524424368295,35.358368560553906,32.18672340292775,28.380175884218826,24.509069670601342,25.5103813937571,21.284485270394583,24.553764342488552,20.7019764325038,23.64838370939287,22.45029496168346,18.177231931878847,19.04762217311009,19.35041459889566,21.17628312534218,25.33150898363268,24.34280835382684,28.14007423332119,26.33488178776386,27.31764740825693,32.88150610149759,35.07941811044587,36.28774785561599,31.327705968594742,31.304163174091762,34.837249803758006,32.522755049978215,28.350954162363987,31.952029115181453,35.14438162496837,35.54578562309225,37.34991029714595,38.6649096518247],[26.730812541311302,24.633975525208015,24.695918783931916,19.85084536551392,22.101930440210378,25.521435531794033,26.09254560997245,30.660059145964116,29.86917559854486,29.207906335806143,32.16002797671659,35.71940599247701,33.37169887943297,30.822299977464613,35.9363368478106,37.17338576066428,33.62706988426697,36.74232694837475,36.281016844623366,39.115825593288434,41.00202220668447,44.193157911350234,43.559123461230264,41.4421425198732,39.6280704574049,36.40376796382753,35.3583080998857,33.32965525179504,36.359796462172966,38.022584580654964,41.67931020003937,42.33245155216117,46.34139700745145,48.81462461357189,45.86483730662942,42.74107946027189,42.403881257103876,40.26314417928097,38.49931647451221,42.89008303273528,38.6951598464058,40.65608894796666,44.45703877654416,42.44695991647779,42.156218573469516,39.574644943156,42.6452177569204,44.209210313970644,40.33734105745943,43.12593927388382,46.973896255576406,47.960402932720456,50.021866531503264,45.7984565364594,51.34577405830455,53.32311868709409,49.43880443117833,49.91281489591038,54.61261565909517,53.81763762494646,50.09935744067129,52.7858556583332,51.9770613090754,52.3650744309063,49.20938797680403,46.696874977010154,43.74692043022511,42.20085877125356,38.84439177472985,38.45638699396322,36.80976669355288,38.96452841514051,41.70726863645882,43.55857445944189,44.76340331665997,50.79701215201716,48.81954263387958,52.70127721707652,51.07655917373758,51.05292927807083,49.843377562167205,48.01761163370412,47.34480146247901,46.30510335636791,42.45997005031702,42.77880402584978,44.19231418382123,46.91719072895036,45.81846069882602,50.390825821240725,47.8184664088618,50.85318755334085,48.2580434067821,47.26815863369762,42.77418633151229,43.7179344454606,39.55233233408774,42.73378653845154,40.854891999009226,43.50511962184966,43.41068356859568,42.86212850755847,42.97677192133917,41.08036658478902,42.10253445234846,37.861489414660134,40.14294279520271,37.56877567356665,34.29752047324961,35.7982567366142,31.605805706381492,30.953753463087715,28.939628742995247,27.10014622541598,27.94919207544585,25.599696540617085,28.563210053842063,26.381018657379997,31.203276487658304,32.0777024308625,28.90057839848371,27.525058076001752,23.109250012048534,23.04443210171093,23.487897425138115,23.354586863179577,25.892616384652165,27.056673597773987,29.287945496426936,33.61982614074116,30.933457816282655,35.445834125655075,34.769317766752266,37.50061618795288,32.01810322097349,28.966245093011715,25.01104163815854,23.750438942892387,21.630888129390552,25.207551658158053,23.820941904530894,28.229199669202096,29.811305212707143,28.815873315014073,32.75678990732742,33.393214387828095,30.575551488791444,32.20522617956163,32.785439470219956,31.96953060094708,34.36921354644963,35.51311767456192,40.17159399858023,40.74302173280253,41.31413142527741,41.066929335521344,38.17250672392864,38.20470369568899,37.743477891293665,36.32462993705311,33.595707657766646,35.81163104938553,31.29583618763532,35.747379930949435,34.218832244568596,29.25757153914227,31.616160072954813,31.02156957376226,28.71573578954649,26.012345746758744,28.134768680468436,28.018286929447573,33.153181599084775,35.9861979018533,38.391913115128645,40.93843602550305,40.408407988003994,45.55530030361023,43.149661222898025,43.95843900990562,40.11347558143068,38.332395829864176,40.80332646797177,42.09906775834535,40.9738336735211,44.18512098861405,44.3951769178115,45.44369708515979,41.36541095115672,40.35137317257133,37.933027335077696,38.04504388327064,37.99953153493444,35.90009190032426,36.00126617643957,35.52965643292967,31.73297988111335,34.22510491845107,32.056125667455206,33.022694194273235,35.57845921123924,36.1547908247615,32.2111946043938,31.374587795944564,35.19295129881217,32.72809913584782,27.362248121527514,31.615373557728024,35.68793169427694,30.027142529108946,29.47214555650234,33.21377691907636,32.42176539921082,28.05328695794381,30.42574057382324,28.60219955517975,34.60391294856237,30.909172600998872,32.85203533965391,36.76663275459407,40.33466951559408,44.25628224256671,45.069400206871315,46.31797129901317,45.35555865843934,47.89498972279963,45.88509008674113,48.613074249392724,46.67893364372167,41.04941873503687,43.71483366394938,45.36053776739716,40.77870091709668,39.089592370612,41.55259944235643,39.9824360004265,35.93353025356304,35.251063605258516,34.22167472540211,38.089569701187656,41.37041269010919,41.87140462618382,44.87421082227836,48.174630061195266,46.142554615539574,41.70492580599433,44.13810459471833,45.72435693694625,41.05223734723153,39.45086235962546,42.54333233620448,41.29284768490238,37.57251312102406,41.56995881228112,42.82439997216973,38.94224917663456,38.80458249497936,42.40150127261059,40.39907291558212,43.028850084833465,41.94640652534037,44.45903629053192,42.7215257845462,37.330353938964485,39.96904799246646,40.379985996490255,37.13978995750532,35.14227729119908,39.915556846414916,37.738186822197285,32.61165176801976,34.33412162794013,38.101398691575625,35.274208988628054,31.326206251113934,27.307981121452386,28.926190917161183,24.73696851494074,27.879183155341252,23.535127815637615,25.88282579068904,24.016932618536636,20.278636041468655,21.098968924729927,21.878000684401794,23.114508836711106,27.054442731425976,25.10878575197356,28.625453212216527,26.11069287165321,27.465738391399807,32.80978106754184,35.317638018883876,35.927320131513476,30.977292414240804,31.57649707705004,34.83944127823669,31.826670818651156,28.211270078234346,32.279777412412734,35.108262872030394,35.196179584033835,36.76649107607774,37.96067325773597],[23.37744458098045,21.051671214192186,20.819463763665706,15.878692567977263,17.981769551796337,21.50550670100171,22.13288429095607,26.72050567654413,26.188817169135426,25.75006148302779,28.86882158654732,32.241308520029435,29.97616370602211,27.742288012420627,32.919471590083866,34.01616098571743,30.642974162105528,34.04214700731634,34.05160769991856,36.67096515516356,38.89961103935035,42.09789340159542,41.766516687420385,39.86823726217685,37.7162492447495,34.401247040523515,32.958601719060425,30.659314121605735,33.46464094282081,34.820752399197474,38.753115119880555,39.02083646659015,43.08546825956365,45.744674734325564,42.730668442224506,39.78626749356871,39.15890634459207,37.375565449464034,35.68700904443469,40.13530555611129,36.22907921985487,38.29518025145475,42.149362391513876,40.35119924218949,40.43600067688413,37.984095173448374,41.19081005163394,42.3730347894011,38.31634616626487,41.15463366791133,44.83900255423747,45.63959175922172,47.62232505494775,43.27797836706844,48.66157708956174,50.93785968011804,47.17876273925702,47.35290256991855,52.10833031833411,51.65064625807297,47.89730454043096,50.507180803875904,49.524347738217166,50.278437213580226,47.14593120717448,44.34636798814754,41.610113053482976,39.78420194594608,36.71641486258533,36.108675443487165,34.73672351106193,37.15389724029236,39.57121460753537,41.56593666363863,42.352976662789175,48.43854696117276,46.30280011539974,50.021373210974694,48.31078021477598,48.32481361745804,46.83541403827541,45.048123920904466,44.06740215612944,43.10757127736674,39.39177597432793,39.634623014015865,41.304876826026145,43.77949223621005,42.99655001618648,47.44170591623379,45.04196068364217,48.24008637535812,45.52908052843396,44.3291236838066,39.765395701970725,40.80626297276861,36.58373892674223,39.44072004195712,37.37939509375605,39.81406222381988,39.788250668588375,38.99455912000248,39.27229838873212,37.188666526622434,38.31510173453522,33.96017414562166,36.217692807501145,33.7291424794003,30.352553107848774,31.776115545181437,27.539685735306534,27.037774570762018,25.036818032855194,23.416926713030993,24.570673202916595,22.478934891768606,25.74865834117188,23.993282284440514,29.158953131892446,29.59425134913764,26.49825196212255,24.773322817405116,20.37346791026935,19.826500465599036,19.867186097641866,19.61806524630297,21.83933542961625,23.14218175070248,25.386155041621446,29.837792514707274,27.291808594708364,31.851791498534247,31.403977369860595,33.93744140386078,28.613059111841146,25.43397534970606,21.52021650280005,20.401427685813825,18.520192006868534,22.26029288611468,21.644702789718096,26.30767659850595,27.5510819637356,26.159601880188816,30.042194063066557,30.384972175995504,27.42850707331788,28.764524266222562,29.095236926187525,28.172224926176735,30.39469910983186,31.612320463813298,36.18906431763591,36.87489693379718,37.53863783995586,37.22867554540666,34.418674024304856,34.31602579590508,34.06257611070951,32.50659994525134,30.0154402540498,32.510196524635724,28.208273900936522,32.73927813773412,31.373053566211905,26.718367201211493,28.906636332046784,28.754776712079156,26.186572923644924,23.340497382773172,25.14251630467064,24.920208216911842,29.97192394561725,32.6502103207138,34.989033020866465,37.35369981698612,36.88870314043054,41.99908399083423,39.77730957475968,40.47932420870254,36.839521797537195,34.72107103034971,37.3822745832397,38.844498365388034,37.876341251064765,41.263722146130675,41.55557924717419,42.84677743964111,38.9656356302689,37.87616179630115,35.38557909831726,35.17730293599869,35.20404988517844,32.96173853256247,32.96926783066053,32.49550158154187,28.463907721282684,30.811910225341403,28.543988476955626,29.230321002684036,31.869431212728227,32.24085128769688,28.257350805529047,27.64250911735266,31.431118391823183,28.81383024156413,23.609929770244324,28.016992180450714,31.936265864911963,26.276881807275316,25.961387193481894,29.76532569632776,28.8291739837157,24.645262562601463,27.32204252934499,25.492293607166022,31.531872941285737,28.16041488362885,29.722299386403627,33.640562590329694,37.30266523727884,41.41285909509032,42.102742525642675,43.02466032897379,41.986336715397336,44.43604655655442,42.26427105896662,45.15677905999247,43.40403128619782,37.630372282915786,40.25850579802059,42.19660877741866,37.672386122668954,35.81766183604889,38.388914454108466,37.15272637457661,33.01992833774352,32.14220953622867,30.842220937349893,34.474346526131015,37.767955215194114,38.146296899549235,41.02905193763,44.29173711006434,42.15872499856295,37.77871928112502,40.23947618137774,41.71341506426331,37.004922586330046,35.510395860370316,38.602066821785655,37.32138160286955,33.67188575546103,37.78370614380735,39.03341460672888,35.18485190122394,35.18943275391961,38.835050753344994,36.85873465421537,39.408096390286055,38.207690801093506,40.86077534253174,39.28326542837314,33.782917937223914,36.43706219595438,37.10365133876795,33.89111965677675,31.786960230304853,36.7985235099593,34.89456717732795,29.627141773090177,31.329161732003552,35.40633613860628,32.813398490511645,28.777609048443065,24.587602676934186,26.832980834644097,22.66378981422028,25.547651739309654,20.820371595474857,22.667666340282626,20.490522545345907,17.121742756497127,17.868965462197494,19.062289557340872,19.993487008677487,23.662566232399723,21.30795754476275,24.81945680389249,22.11280612572395,23.404139822738422,28.714122152810724,31.25069960791011,31.81648701459125,26.86272017239249,27.56247071095748,30.832103786176507,27.791595418584645,24.267122611377797,28.450654263921198,31.304829250870235,31.409441635060343,33.03929274523684,34.20095557457987],[25.274870768423586,22.618018321312267,21.728057629168266,17.746544902818354,18.946317493504544,23.72626815529289,24.516340425272215,29.07396917603328,29.303123025024878,28.952161256331372,32.33310771542746,35.456843804257026,32.84505353071564,31.164868240316814,36.26962263577887,36.971980836947054,33.41243947264927,36.80518011575348,36.69622645595174,38.864620092443914,41.0536259191109,43.83168451321558,43.59011642253134,41.47019235866611,39.22100920721414,36.32775600332681,34.68210859653572,32.71690855565754,35.75373038581434,37.149317749531384,41.690340718603174,41.579067726038616,45.848449269724505,48.40922208706353,45.08100191087937,42.07385692371609,41.09431789634446,39.04107012614236,36.979385706469486,40.811898778106276,37.02154393584283,39.74417771014048,43.30225442048772,41.19018036744223,41.23299821283232,38.51734108215435,41.496195281352115,42.769648924049754,38.57564335471362,40.919087379273606,44.84604207243074,45.45471191093324,47.774084534982464,43.7090526703411,49.221269882020756,51.4934986074183,47.99487765519335,48.49256840666438,53.16048757762711,52.60992715630117,49.294367231996674,52.31215374887861,51.59660579570739,52.47066752493298,49.05097161794116,46.31639798382741,44.12923829221447,42.485114157177016,39.73390590895942,39.46665377069451,38.24028664719472,40.893860360894855,43.085659522962814,44.74425646200691,45.38219056186062,51.295670788710034,48.726778588716975,52.47496386450533,50.401400743610104,50.00325033184722,48.32866644684341,46.06618826125148,45.048211113660116,43.59649790887212,39.93685970214028,40.763402213940985,42.760081621946064,45.46510108765591,45.05466330497838,49.79334377025503,47.732640874408915,51.22200881288441,48.678420603884945,47.486382444698336,42.98035566457137,44.35388299148387,40.17831054622151,42.53914311774097,40.35570671423847,42.583894675020645,42.18504112593881,40.883279272518486,40.943866169670294,38.381629233511674,38.759512703722734,34.41041852478182,36.14428749144422,33.1798328169589,29.98229605985548,32.045780545368025,28.195939051133806,28.00628548051177,26.829809364926707,25.07553726634538,27.02117204627097,24.760554976648454,28.12300253969812,26.14371920455758,31.657746063803973,32.40344829572527,29.59210280980887,27.966201532592613,23.360975781566673,22.650233402798136,22.57660147164804,21.16039930126103,23.12849470266464,23.707629105034567,25.317092104300077,29.601717438369022,26.199362809253092,30.52595484921567,30.009180384249262,33.182470044081455,27.767433081238856,25.284598906692075,20.63533580181698,20.435827067953145,19.241277503054427,23.104597839831598,22.578313203527962,27.06550156486558,28.933836962891803,27.467038761144565,31.182555829406944,32.00811645597855,29.083648133007074,30.646156559903847,30.702955319745044,30.279025492794894,32.13637365075448,33.99471953618066,38.246881057778516,39.46026326764853,40.32343218669452,39.63628635870155,36.84775547475357,36.17531689556653,36.06417748361524,33.72829451262412,30.865549331224322,33.756076836905976,29.003513289925028,33.36671307893538,31.16445608925023,26.210961593618116,27.769410571845942,27.046075614684913,24.2388873620433,22.071981730118377,24.07307013206084,24.68190565786971,29.847940339813796,32.857501100786074,35.62266723904529,38.15662395662801,38.30819430431067,43.05412591308723,40.5035144758983,40.87082408480587,36.80053091110809,34.80923212235416,36.74764843151474,37.819953195353676,37.18044272782083,40.55161041488196,41.36066301092234,42.120489166442596,38.63320762460223,36.97082916469299,34.25541237663225,34.03767422382544,33.522373483157025,31.185757368918612,30.94884600181823,30.09583179080481,26.382263518565388,28.7525519156355,26.539600745358065,28.023889619851793,30.331454403046575,31.427411342813958,27.6474242520332,26.329259922869117,30.334465474780917,28.454094862808287,22.816165463253196,26.92227980788927,31.502003755721116,26.334808939043768,25.55445262672164,29.416700209899883,29.279085746251926,25.05708222025182,27.080490546328416,24.70637316176102,30.703795863348905,26.163517166295424,28.00888415208236,32.07953181406838,35.18135624314081,39.301589687829576,39.78656534239087,41.06379765954715,39.911279658627144,42.40042563734819,40.50388616276794,42.94756105613992,40.9106346435997,35.40063108492398,38.02709787989813,39.38999612030269,34.793944417277615,33.21462442680012,35.60734443961659,33.81342203989822,29.82114060844016,29.34200905098907,28.482382959337443,32.71654314429,35.907811636751894,36.623379691948855,39.86788878291869,43.31796874524444,41.57951328799214,36.959888578582685,39.49262210432118,41.47966659641951,36.95672207090824,35.14232801509041,38.598280838152256,37.727740050658355,33.85409285720153,37.58270196640776,39.28233600135164,35.81332063854735,35.149689722934475,38.52824480752993,36.15920456155569,38.485586908733275,37.232543695525585,39.40055193485932,37.82807288851367,32.492126304903934,34.717547227334414,35.01244487386314,31.917403737949137,29.653012324665127,34.16414445431217,32.08704225949606,26.986881070380466,28.407008894674647,32.11083331202512,29.429940466293612,25.482137178089847,21.697458650124137,23.29198243123904,19.415398479458105,22.999340312521312,18.864408328232745,21.148058896311834,20.088140048317015,16.090584739710813,16.130798156793787,16.30438368667876,17.37286685455168,21.557253397559236,20.213900958472788,23.68785113531749,21.980837679121578,23.627667671283938,29.052247962511995,31.536384472064185,32.83202397730014,27.868339681652966,28.317959605928426,32.063928677883354,29.632615846820062,25.901504100128584,29.784568226843422,33.112248987480974,33.537755030132175,35.41097679003688,36.521376704631464],[29.352004094558353,26.795096225327296,25.976254220660977,21.63423162785415,22.62767161506959,27.220354085013664,27.557912216153497,32.100066488485695,31.94390342345616,31.03310002215206,34.24855136689951,37.671036643944035,34.69320196656279,32.64539429307026,37.64385425074851,38.43861686897019,34.53808680267047,37.51649373538558,36.756975144768056,39.13109831615892,40.87527363978297,43.599634821849854,42.99878144062172,40.609408963487546,38.75417958919834,36.00740822800072,34.85058194366391,33.27750025288784,36.66204885469594,38.54381166674388,42.78923079570673,43.21814309488306,47.456742687545095,49.675662760984025,46.37901118030137,43.07558968474157,42.51497098361622,39.88247451628566,37.70651615270278,41.472494449924184,37.27437116421226,39.84306343024545,43.32257073488006,40.944579100951316,40.52504546422691,37.67488508231068,40.49865969886394,42.2183585111631,38.280593539912765,40.609572399361255,44.70879807756748,45.593649898275345,47.97107953552812,44.049518886777705,49.77570218487916,51.62632830168881,47.95165382091543,48.846514770763385,53.434011984558175,52.437483824324495,49.17423665942508,52.31355061932962,51.85483444318264,52.272423621805466,48.79029964837652,46.429412037631685,44.0488379424775,42.799372435141606,39.75433841373439,39.86910687962491,38.344498088132404,40.784015313017136,43.2773916188011,44.644708130292166,45.77085157493228,51.57287110281138,49.123603517997566,53.105895508950546,51.098156547744864,50.60696866361251,49.34036961606232,47.02153818504429,46.50337239925005,44.95934865218815,41.08962833061643,41.995476905655494,43.59173281546423,46.692244681456906,45.82888504427207,50.80281010992698,48.55007025857268,51.88281860221293,49.558499267823365,48.69345579764539,44.312013212028155,45.68367382818187,41.61348134742928,44.33278825032559,42.46193118021366,45.14522773177054,44.399295218459,43.56848270997357,43.20503860806471,41.06712933361805,41.279638395761424,37.22813781752723,39.197500364754745,36.22292442040285,33.32531111169296,35.3166762520171,31.52763159088882,30.780342611983695,29.539205515296636,27.27165966547218,28.70842055257063,25.998683411512392,28.920376730318644,26.34330130089981,31.46922497936561,32.82391804771549,29.970129278763718,28.838760424043052,24.142931816035496,24.107726681311043,24.73963771403982,23.47119447172215,26.30015683543187,26.58488330321971,28.383199486728437,32.359717443723824,29.083569884490636,33.379743166961404,32.340361225051524,35.60542084560159,29.939735822445552,27.484463938150615,23.120862684235544,22.28230311352762,20.544935017791694,24.103271947028574,22.495713794538133,26.643423828842586,28.922426678882747,27.991846281019896,31.78260285552955,33.0357884883962,30.33053976232336,32.3928238758392,32.918247490266886,32.777236326099,35.081637244755115,36.943858619709125,41.407392820378746,42.696695984382245,43.20094513980207,42.420245164742546,39.366958661098664,38.897051815717404,38.30128759859025,36.231096839033775,32.904281501898694,35.25401795452568,30.196975680258046,34.43536152550565,32.12338527553535,26.801892639955796,28.791493793932137,27.583852680590912,25.331749106207386,23.147516007143,25.59196099611103,26.108863087477136,31.34736780221557,34.53899968035479,37.34370800397614,40.191665084415895,40.18663732064609,45.00609430874167,42.14701813351994,42.75343124519784,38.40662117701333,37.037284896599644,38.796860973612766,39.682619118814806,38.65621824500754,41.71062371451951,42.26565219058439,42.76995544212111,38.92409857877856,37.50025937469641,34.97164019649153,35.27202225198652,34.852561320891084,32.840947412453296,32.93102558135579,32.371466746878006,29.02481656807931,31.768110652149655,29.97790252553579,31.579595225745198,34.158710065510846,35.34746226258733,31.52379856089234,30.403787161058847,34.52364056159502,32.686115462228216,27.13549582379423,31.296072346487055,35.90008947318457,30.751835116536267,30.042406506490472,33.91223153640839,33.711320624152854,29.48658689013673,31.54002765805975,29.183511527729014,35.16867772165473,30.457022354544982,32.38077908239266,36.471666932214134,39.41937188916883,43.52739029600084,43.941854292136725,45.27226875900054,43.99941887247981,46.39546495833576,44.43137498734924,46.690250354371315,44.714589925192556,39.2427868195268,41.65810329955274,42.85137520586098,38.33113012014806,36.68653256433454,38.7610742597269,36.922098643534746,33.146670729357794,32.34278913746283,32.036435952879394,36.10732568880374,39.40879722870249,40.44847419971198,43.634671324828034,47.25927290987136,45.38870425046295,40.80588688561203,43.6017920115065,45.53985119303093,40.949541152900956,39.33272095056198,42.86709931120034,41.973152304301024,38.177737968937116,41.980793052678145,43.68252847481176,40.191827011902895,39.61942849821808,43.00843658697938,40.620777010576504,42.87804762531069,41.514987641564076,43.6222894649627,42.17030097851294,36.835260197077965,38.86964871021786,39.17849855566363,36.164717087056815,33.732717227121384,38.0698244182437,36.0481214604645,31.023463135123148,32.14511565161451,35.727623743960415,33.10151045438336,29.2359406536685,25.717614806243105,26.91935275760442,23.23578734357495,27.080520167794788,23.199221194091393,25.57463305282541,24.568075009586163,20.573110490231826,20.522444449461076,20.431333842140194,21.339425053883737,25.610793912936654,24.17203749790175,27.346490799474143,25.522048162880157,27.604818614378352,32.883731771065044,35.564345814919484,36.637612382243624,31.68828034503384,32.470996964838015,36.13284695955123,33.35473117413228,29.912442891269933,33.98065053478927,37.15011364488515,37.414418953580885,39.14039045206762,40.16481162668225],[27.84757047806761,25.13203711970483,23.957744154119226,19.127000249421542,19.51111500391217,23.88785315976009,23.693962125925673,28.1568651616664,27.86644080990516,26.606770355990665,29.805681056054098,33.280571711278604,30.069034500255906,28.031273879537505,32.96481564627147,33.70281755355357,29.73627585192901,32.69208228797359,32.000701285348285,34.36316898820474,36.205191677702686,39.016084759271166,38.51042207317977,36.26643431338313,34.27758313620755,31.396010481727917,30.15820353850617,28.48417801367347,31.844844290000392,33.77029840973871,37.9880026623047,38.485669571313494,42.7202259673058,44.87255178652832,41.5866195975175,38.263597169806495,37.77976442347813,35.15294715221312,33.06653300332207,37.047434676677824,32.839877073676,35.23947816915777,38.82970164956626,36.615520498241516,36.36301605495504,33.668527039962484,36.66669339843757,38.168027727151234,34.202025216132775,36.78820092585476,40.72693849118287,41.65148049139708,43.85414566110307,39.76644507706304,45.42596433138667,47.34451974134755,43.59704051693196,44.30693226024322,48.94280517293061,48.072646840996576,44.65336837943482,47.67393280243092,47.12033878791279,47.62284432571212,44.1928144260477,41.72858405546758,39.334110545931324,38.00605326031729,35.031684969618865,35.13693357358448,33.694582799911814,36.2608337765615,38.61089395839261,39.9714728114298,40.9876621929305,46.79477993253275,44.330705203771025,48.29159729703125,46.312884528128585,45.89909062151495,44.66030626848193,42.47359012079785,41.998358576443856,40.61983635463556,36.70679783353223,37.41594322631502,38.9146996917106,41.97931435387128,41.040831019206415,45.988623986308504,43.72239882730277,47.07277310647679,44.76516388026804,43.92628613957918,39.579613234592046,41.033723432266356,37.013150873400626,39.69764358877701,37.934215289128694,40.82366964152116,39.85413218110274,39.27795286464268,38.731203443528976,36.884581014387834,37.24479913046892,33.34395502738743,35.66340575823819,32.925423920499604,30.152518621736032,31.8046474507679,27.964072480489158,26.737471895688856,25.342394762315244,22.82490057980324,24.02359030206876,21.219408482081906,24.093757675527502,21.56009872108581,26.761975321481422,28.017557073568664,25.198853801963317,24.07961635864874,19.35931687119397,19.41190509879234,20.309519621148997,19.124522084785188,22.53495179383552,22.742751846417224,24.887805824675286,28.744425566835684,26.024681346754033,30.461315138135568,29.242261373458224,32.120771778246215,26.422425300236267,23.594510967185695,19.745433403864947,18.19797341345506,16.066968228366378,19.56078779227565,17.990141226196158,22.324264433688796,24.316184909007127,23.328162985779397,27.174746068873915,28.310175515815622,25.616127042376597,27.74102631086277,28.460851146131446,28.417889433454192,31.011501689586847,32.892800234561335,37.48281249279297,38.95659594558446,39.13768725214158,38.20982487996935,34.99692914385102,34.647734466822875,33.79285456152854,31.963002453051057,28.55972112920269,30.667752776547825,25.70436657162722,30.005275665059298,28.067022982809107,22.903217977501253,25.29154318758059,24.541516273182054,22.44922219500655,19.719426561282525,22.06772969887868,22.078638377539463,27.281234341751595,30.349965461371568,32.99136981273655,35.85612355927482,35.63790455275853,40.566844169146606,37.749512461739236,38.53291029663438,34.32529294250022,33.04206009332942,35.1242612962005,36.21070567159105,34.92718026495609,37.96777804393008,38.22880330830938,39.05722167206581,35.017207133775266,33.89967235630351,31.499310632496584,31.79769124197708,31.779894402048587,29.874210049895243,30.2297221596959,30.095657474217223,26.59614149890463,29.52557079488532,28.00369936988407,29.084812827091007,32.21074918456176,33.003939938682635,29.01759299986191,28.640103032614867,32.81489832846679,30.637530261240027,25.544687071106463,30.082709300602378,34.33350336110453,29.163741219882716,29.013331840969418,32.97144520664342,32.331563411126616,28.465986173022177,31.134336346936912,28.880525270986265,34.91421050267268,30.788438634889186,32.0945276744981,36.19631589123259,39.279234431760464,43.712393172416554,43.89498003256337,44.62763703523339,43.11511580870201,45.25134972947329,42.84952870518371,45.322261605157166,43.80104353759396,38.016598966114536,40.14799903517725,41.84357705518929,37.4947039360376,35.39379256499523,37.38294295558421,36.24639906129092,32.46851307074239,30.840184202311875,30.53592488703958,33.88954246208392,37.3846466710202,38.495617842725885,41.327877782325125,45.0462392147305,42.754097985064945,38.364208644246965,41.49832146514695,43.070914106070475,38.30886153335072,37.17540958954855,40.72035192510435,39.6719956125684,36.15124637413775,40.29315406171341,41.89380651333464,38.38491221556769,38.285006374890045,41.809474380423644,39.53159018121143,41.61848281133336,39.93744435430948,42.333177797391606,41.28945934424762,35.720243083474784,37.66522182573282,38.52592719928431,35.60747028803658,32.82413950882355,37.54355402202626,36.09187149593725,30.813915174989578,31.65797575838837,35.80101917669282,33.64391599581577,29.638441922403686,25.945859895482442,28.029923367319096,24.4325311146738,27.991487925264703,23.56588677051647,25.13549044070231,23.53557661235206,20.233451977925007,20.00187227506967,20.47619174596626,20.65743410288905,24.525804523964958,22.084619082244565,24.90980000062732,22.460826770390025,24.941172266972053,29.928257691834524,32.89246516904476,33.500517876447105,28.612541629105227,30.005624695772052,33.472132253527064,30.177888911694726,27.34588938751388,31.796279167347294,34.70693556861971,34.76159974849037,36.34579088292955,37.208109670654515],[25.399278413040655,22.276547411757495,20.281061239514006,16.465696864076413,15.875228433149081,21.438319810417976,21.641151043568158,26.018662907234543,26.76966687768297,26.102258115085455,29.667803677459002,32.579754971649955,29.42303737438878,28.31969320680002,33.22232647749125,33.48435049313172,29.773151774358695,33.142587312751715,33.119792436465325,34.8005496731759,37.110571527877724,39.58658117942542,39.600484326093614,37.53442558461703,35.008789388072195,32.360469973593716,30.376223334466875,28.556250760452464,31.660191927823124,33.0586005491108,38.09690126668684,37.67773561732894,42.097116406733,44.49798782078845,40.92420347323761,37.89516537491743,36.6568061655116,34.45904722846507,32.212729915463356,35.720542037954786,32.128653220087806,35.224671304032164,38.61724572281329,36.49185928801869,36.77289621213386,34.07790401066359,37.04450900594457,38.04606231272191,33.712446170909814,35.898257394338856,39.77483468988386,40.22379753694716,42.59638970415802,38.58883496402913,44.06469827426383,46.4512696779137,43.14107865963888,43.645256857624666,48.271073590546706,47.848652993589766,44.750344165306124,47.941870667238284,47.322369056321676,48.45208161667602,44.88366406800726,42.06028555185395,40.39686814064331,38.783577815919514,36.48043179782237,36.448511979705,35.51263007043772,38.51476933654957,40.26320165175416,41.63709042833858,41.93804722713392,47.66093555503842,44.70122593734003,48.393398740119146,46.0427303102953,45.387448707079876,43.552774769895976,41.0520046268006,40.0123196254677,38.34350365800186,34.72552165283279,35.81713214517883,38.01721992407076,40.81826900725446,40.69932713810384,45.60372206053214,43.8624931708192,47.61938423146526,45.24299752211999,44.069046369057624,39.68200362030067,41.44105630590473,37.39521131856649,39.22267208665039,37.06014193313935,39.33632468006332,38.33016668183396,36.88803187570308,36.532173320482,33.9081872364381,33.80605252677721,29.664438132470643,31.390399699819643,28.31813792106609,25.470997835070115,27.645931705515636,24.095839269548062,23.5558151792294,22.959612915958804,20.83409751288052,23.26072835741574,20.87651934282457,24.269042193068813,22.346306879840277,28.17416665521908,28.93695294234384,26.49813542410547,24.915606241084358,20.276485873903724,19.3798578789801,19.389294165355373,16.996725972269648,19.384331461858704,19.17109290367917,20.638546779493122,24.59614057201899,21.16374089867621,25.477087482692774,24.650343168897482,27.88207706062987,22.357977021382858,20.042959500783148,15.366925792394795,15.224085826797,14.400606010146983,18.257152667998927,18.20605533977825,22.650258480077973,24.596582256760772,22.90523847536693,26.430229204497483,27.460613750098112,24.59174759780953,26.334375783912822,26.327427393605188,26.46725265398607,28.33296999324671,30.789086167202004,34.894698860915355,36.82907964482314,37.432917143205515,36.216768608595615,33.26325450212703,32.22730827740875,31.936582292065392,29.196780130279684,25.950314573850196,28.938794870358873,23.99630009956194,28.24238950582741,25.77804464345281,20.881335660313972,22.247886132651892,21.667437957337246,18.77658760229451,16.564398176575153,18.53090889007374,19.293789788360222,24.45819854256017,27.572282451406473,30.497373159770174,33.16446235609374,33.614920667452594,38.14051573788041,35.38295432416856,35.65480112328292,31.413955191278315,29.60799872153656,31.319479503453657,32.31426789448327,31.66356424135011,35.02057923776223,35.940380008884794,36.65958475376417,33.354989261646274,31.536359916515213,28.77288038482828,28.475774855411697,27.990111668584195,25.69013052264551,25.576504872250883,24.97053422397732,21.322919591447683,24.004643141251698,22.277892888620283,23.7321374800342,26.578522386276372,27.75475619410954,23.92806649124918,23.124154530710975,27.404426631656516,25.70130650380245,20.45714822174411,24.83650542872271,29.42105090962126,24.73283990453325,24.43961571510953,28.431142658429827,28.317752391480735,24.69425954352033,27.074468976933503,24.439482002454906,30.34595616922702,25.761408135711502,26.830288734643947,30.993730602889915,33.73370317915196,38.325702251447574,38.24807289285977,38.92021425832894,37.286207124769824,39.39294534787912,37.083805275131745,39.416207014811306,37.82172105242829,32.09950276554629,34.26151859671007,35.8390507342267,31.463339166089067,29.4324336472202,31.497869624679186,30.26419020334215,26.44387399095167,25.020434586637695,24.629027864882847,28.309718479942,31.7024592567714,32.86099387342895,35.900381880281145,39.667941384349206,37.663947691174144,33.11680667313262,36.23430921001391,38.138543678596406,33.5374622923371,32.17241178547038,35.96912586621553,35.241864601216264,31.60481142198949,35.48360549527274,37.42674285956585,34.28996894509246,33.76032835495717,37.079835095836714,34.5423530176556,36.37887058588965,34.58610469770038,36.7345465217246,35.81928848191558,30.31343424876815,31.961683667267675,32.77683589429755,29.983878979767628,27.009501315989205,31.596560819124974,30.29658848015035,25.029999766123087,25.664264244362037,29.862551497365324,27.90361838322931,23.900205864296062,20.361065742101992,22.70365979099112,19.46188267610901,23.11146503709069,18.837166301552674,20.074793030633185,19.105018048433333,15.88243265697752,14.904454615781992,15.019843851713684,14.830914289298418,18.75029052001383,16.741006911353697,19.571809769118126,17.886630714569502,20.492984584504747,25.542608897030977,28.400367746302205,29.66721548740062,24.80876693731468,25.952897208988944,29.809155473243003,27.175624952756948,24.193235880352578,28.355485552011533,31.683528958280302,32.07564225182967,33.94752800800931,34.781213273554116],[29.74361093725116,26.74021521021799,24.947623246141685,21.155551038743027,20.70692498154789,26.225835549345835,26.28724932062841,30.653195718399118,31.20005241423858,30.179488311248424,33.63396961388067,36.75707328246453,33.30826621032252,31.9476697574048,36.76592847388636,37.063294362390714,33.03013339867661,36.013402191597855,35.33421381057147,37.10728573766939,38.9572395555286,41.24815421290772,40.919104707804486,38.494906060907034,36.35286258811275,33.99662879760109,32.45669719583229,31.13057985522509,34.61819153056581,36.46510049144199,41.35038726143741,41.32906575011191,45.75274998949457,47.838869143346066,44.22874969461971,40.9242484182953,39.97825790500586,37.17582619694066,34.70752477765931,37.906949784641114,33.96367824243519,37.1343658475433,40.33427817630474,37.81754500343793,37.594325035257405,34.643301285160724,37.34230343140921,38.86111141831786,34.744047995849044,36.68278505498457,40.84917408949838,41.493339501423485,44.07279240269706,40.34400275559914,46.07036508007567,48.029933171533585,44.654730851229175,45.681444321069094,50.18506571767987,49.280590650976265,46.404012005356776,49.85329855177301,49.5704772456722,50.284751746530645,46.567556629994236,44.14121673094869,42.44035804464089,41.25953387198552,38.73355687481966,39.12701872032722,37.92176646606787,40.74801103576672,42.7679104823979,43.80797801417489,44.55381265104347,50.134194417694914,47.185109459841435,51.10290646046073,48.71806149235777,47.849452481601205,46.34442293111491,43.63330965660639,43.04861841660212,41.11869178685171,37.34476282642045,38.722538753101006,40.64443108122948,43.877990072061486,43.448823083876526,48.63998008855637,46.80727375286408,50.47978781017397,48.33475608166291,47.44990384965896,43.1781830982373,44.97112243369383,41.009617718088776,43.08126830188462,41.14412317425084,43.71017556000793,42.408131561499815,41.211368700256166,40.49145588254208,38.07567259059946,37.60199284682888,33.73189209486406,35.40825050891192,32.16450627673489,29.636639268204338,31.98075266813361,28.632041804917247,27.82936506362037,27.36739542983054,24.860205358228804,26.977422691941214,24.17664625172593,27.157715450628483,24.589962108519046,30.100236411534762,31.538547607732085,29.098354997859783,27.991289869777297,23.23130652722558,22.93881041335992,23.509218798904868,21.138666002129245,24.027543453461575,23.47907264421508,24.835569821822766,28.42631849054384,24.761894486518703,28.84043446493529,27.556331375196148,31.15291485736247,25.454683510434908,23.533908071580342,18.913927243217465,18.58599175037701,17.474979991742586,20.987378355032074,19.79379906613704,23.778173577172254,26.396088412072125,25.251248403833205,28.77636107213444,30.376769449999475,27.74445150442566,29.982814740077714,30.304864561974494,30.753751837818935,32.84493652902486,35.375865340265406,39.5471616166004,41.55077425108767,41.99696829846047,40.69606531849563,37.58153672170484,36.592930372691825,35.97975857276147,33.27492309139028,29.571515707321094,32.17371486871011,26.83608922710559,30.85829254460776,27.949975646330973,22.56726094583355,24.0483039512191,22.600910249310868,20.199911624011953,18.433046154351253,20.952151437428054,22.02049795106671,27.22528557842971,30.615693616396367,33.71347876562418,36.695382398431704,37.207047051635804,41.65164731193395,38.524754209438655,38.87933412436678,34.243950459398924,33.068320836463435,34.28216272690789,34.90223028018032,34.06328138095397,37.077271710847384,37.992099116269635,38.19157364938086,34.724939775541806,32.87469632544145,30.199667479461727,30.434652097024934,29.73987604822693,27.72604041373401,27.77405514966492,27.193863561843845,24.142186421589738,27.07785871528364,25.696203235808934,27.657115230334828,30.390326425492592,31.96729851667323,28.273927653579047,27.177765537335855,31.518302777800226,30.166730071061856,24.768979579031488,28.902781785889818,33.75519972975761,29.20023142351727,28.619987822869636,32.56833537396663,32.73250476599608,28.924072298349405,30.937451995527752,28.183465966560654,34.047956324432846,28.827736820184896,30.31340645355964,34.503615883169715,36.919711323561074,41.352215737857485,41.260878321835165,42.30968501499665,40.649216528887585,42.77557575232105,40.66765248830567,42.61539857266217,40.83025411792093,35.38180115117186,37.447121167933254,38.49687595198302,34.134066535563726,32.325367537793305,34.05040808574813,32.3379077215162,28.79768439514433,27.539315919954806,27.813733537175295,31.750257387295317,35.09860635765419,36.59998339992819,39.78956234442371,43.69079459380263,41.84407234641787,37.2396963036204,40.439207890122944,42.546857399847866,38.03319051515169,36.583992219415165,40.48570376061752,39.884651398444824,36.17660801407851,39.87770585335308,41.94044567193738,38.870096328061905,38.09446719034358,41.30308100025672,38.63602369353385,40.4343720080399,38.6836016968344,40.5339261357321,39.556493546179375,34.22369203055284,35.63852936428082,36.133437496609055,33.41408549759952,30.438515009639435,34.54016206105218,33.00818283649129,27.99575385003581,28.408674825144285,32.12178389572728,29.99796695161237,26.169583202606546,23.071777712753377,24.474195094060498,21.42989332369178,25.603545937417397,21.924209986080296,23.751324797333588,23.303398306316137,19.61048534728669,18.607196821255027,17.994078384313035,18.121427256469158,22.3635531673605,21.031937715671482,23.676743571588965,22.40081409904171,25.195424545553816,30.191671972804503,33.05163713511527,34.432325280436274,29.6085726980499,30.710767569166915,34.622178292594405,32.01878833530336,28.988339868930666,33.0740191176649,36.44087175259768,36.83404851410538,38.67426525982165,39.496870960114855],[33.001535540659184,30.171883697232243,28.6527872729001,24.075945644294187,23.723538285877005,28.506789028607034,27.944384977004294,32.24828382503408,32.073307058169945,30.326267010506808,33.46076043000049,36.98973044022232,33.210575515592886,31.256081508342778,35.90097372713234,36.421005539212224,32.05932330139044,34.50404443956314,33.07489515159012,35.248787509512425,36.57075192235411,38.967030714413134,38.17504957413214,35.5306192700116,33.89693119538135,31.542592009171774,30.69024709341982,29.725022777943472,33.52916146028535,35.952263398969144,40.2239096927981,41.00143033512095,45.28758036447893,46.97455884949902,43.537743979635245,39.91018417250078,39.62944959866692,36.2423686877679,33.816272575115676,37.22737927291236,32.73540670005296,35.38705537122935,38.62624274733352,35.949371143072035,35.19567456335578,32.22454156288556,34.86749563036384,36.86161620927174,33.13276526181813,35.34466159084097,39.56753624867137,40.654489882872696,43.10474253252997,39.39797181754399,45.30203169242076,46.75369549392226,43.03437468504258,44.370815335337966,48.81390012849368,47.43092352148704,44.4024198767365,47.805515162254096,47.71275915787739,47.84096830471509,44.17303613213181,42.16511502263236,40.02585997214765,39.2562303973263,36.29365535838896,37.048425694801345,35.46390963357058,37.97426634430133,40.37797879498102,41.157862425071784,42.51921646183636,48.002580038256006,45.35845692766363,49.53325088835443,47.37938299483448,46.57920395683826,45.6581034558578,43.11733633869432,43.16954062239094,41.38947138407779,37.34429461289984,38.51370308116524,39.77709971140677,43.378020933219865,42.23590214932366,47.57549214248672,45.3902153555476,48.76042755672604,46.83567225850396,46.351847751166225,42.242902993366386,43.9338720431973,40.12296139702703,42.75749538926267,41.26688208395105,44.4622433077592,42.854196670970715,42.45919990331353,41.30117138387885,39.648219317016284,39.34352216242294,35.86486585231645,38.09970385350925,35.1356971740917,32.87920633410514,34.774266589955275,31.32729007337236,29.7044822507812,28.807976024890007,25.75309865406449,26.897902654156844,23.63450141395121,25.97644146574952,22.762680420154403,27.619969052001533,29.69610187081935,27.154854164485723,26.653832101299276,21.925450285473083,22.536545714814,24.01507283124584,22.289751448987992,26.2817275524784,25.726138260995594,27.623092950302073,30.90607621983302,27.94118689788778,32.09049915341247,30.249551053665407,33.50971370196476,27.62996412220094,25.350426693564852,21.593013244268903,19.959850474997605,17.825253687942418,20.800199738306663,18.15883693841217,21.75465787622233,24.586589090832643,24.1704326251614,27.837594630927217,29.742837021446373,27.40153904987342,30.149054667974227,31.17010378780367,31.76748172358963,34.54291373879033,36.81791726631799,41.349625926084364,43.26786883010914,43.169415448877515,41.87683269054227,38.43844521274281,37.93097660228131,36.654695060991585,34.64299733605124,30.5763202951817,32.28508032165051,26.838266987471616,30.75220330831082,28.203536596699614,22.600277382932205,25.02549746184185,23.40876848194628,21.92830422200418,19.67923482708714,22.555081424963507,22.958893907153524,28.112474225660566,31.504661787362913,34.39496448295968,37.65759282097858,37.67357043471914,42.354156042096655,39.029185310184175,39.853594212921514,35.148537502092196,34.67664040591783,36.08305239286958,36.714657743962206,35.204628634209385,37.81911391497736,38.101775872331054,38.316857700513346,34.17885219603577,32.996214363350425,30.72237218354168,31.602742609721158,31.404316090843565,29.873133852327815,30.485120578716696,30.530166651175865,27.711535603369953,31.01760452023994,30.077306468825373,31.650310391601465,34.891811268511375,36.13799641831347,32.28064976081191,31.817348838631215,36.17711329604653,34.458743575348365,29.364132324578904,33.77205512529841,38.320672021459686,33.518836822220656,33.27074282661882,37.25341415559746,36.94656117234565,33.155640925144226,35.58142569525497,33.06323616590734,39.02661001872863,34.220497141232045,35.59769852068798,39.77415920258216,42.36540493392147,46.85438320048183,46.7640973282098,47.60120787115491,45.83986754847072,47.81595070710259,45.4304570332622,47.45062908062295,45.94797824924558,40.354958454987745,42.16484298396125,43.42224949981311,39.21073260033369,37.12860101671937,38.60897633782344,37.2753878834714,33.88372108267032,31.981504047657957,32.552322711917085,35.885723823739056,39.416245485781694,41.0840886856366,43.97133503619154,47.9756664715728,45.730212684764446,41.31812511492635,44.806877155743535,46.562898030018,41.86559541900359,40.84159168927945,44.66311923847495,43.8283687628893,40.33235099139673,44.34611885466408,46.19993533812012,42.92802353582904,42.60504646887638,45.983026942141365,43.48104009728272,45.30142397923676,43.41388686692177,45.48858675705494,44.68352749189159,39.21194945780344,40.65425764449078,41.42682068684568,38.72015082233627,35.618767850626874,39.88222374098314,38.556274024151264,33.46357504740349,33.74399782572635,37.61949115227027,35.635291293212674,31.794611096585438,28.635850921290523,30.157136740532483,27.024945133761257,31.089973382548315,27.170633974538855,28.865692015192575,27.857856883783835,24.391463738853307,23.674958874237387,23.443891376404242,23.392469251239273,27.440465200171907,25.395696281497692,27.752950187754656,25.78578354961946,28.878564529784594,33.63906977940702,36.76287046443069,37.520907585986215,32.73264746749432,34.36537209356351,37.96801397853354,34.67980689837584,32.122282316562575,36.577356782301194,39.56225219247603,39.632017434841714,41.1970990536562,41.91242640656232],[29.959057634473442,26.828680405665853,24.57584533023891,20.254983532873943,18.70241955448874,23.855429665638304,22.972174082627422,27.083636875574474,27.434656535836933,25.707044614314093,29.058020624968,32.259810989786295,28.269222035033287,26.96254095330777,31.522702757688783,31.65813914302693,27.382268302075538,30.11419711501431,29.249881813123096,30.932524407687072,32.73392400826002,35.015216276938794,34.7182388662861,32.365397992375044,30.14610000095813,27.773147796754166,26.245949825070362,25.045414416345757,28.683383002471803,30.8029990459699,35.63992625787286,35.85400671933491,40.27448362154608,42.08249729832096,38.44750806517287,34.98980455829592,34.25847346579013,31.15435215685504,28.68241754630283,32.03879964291569,27.925727116757034,30.937715390943307,34.20127678896537,31.756309866625568,31.60289718295348,28.78344109292305,31.64960777989636,33.01793016051323,28.918935189564333,31.165188487635064,35.20888136306106,35.997290648668496,38.39673557947607,34.513396292819955,40.26431483857322,42.15281019985315,38.63888186364917,39.61333651484285,44.14168867790353,43.230104777247135,40.22512567153231,43.628320460151365,43.363827227834946,44.05095905933519,40.33131806589192,37.91696745255899,36.26671693155186,35.17907217391015,32.76016791405707,33.382778074233194,32.24751235756666,35.2075487505997,37.03855763983757,37.85570446689099,38.58074629492211,44.04754515666275,41.03478583420504,45.007715685077216,42.61954500049169,41.74105225325516,40.41221115720345,37.78060019542215,37.47727337701572,35.662823951687244,31.733135617595167,32.969936162374296,34.63813417662592,38.03410086073646,37.38601797068772,42.685663832339294,40.840399122122676,44.524760668701845,42.54450325905731,41.83949686343795,37.72071454207588,39.69872636301697,35.9111568234693,37.93304838758137,36.27936971547539,39.27298691570051,37.41887353575582,36.71488042290865,35.48479153171464,33.62541774715259,33.15698967249207,29.691921226748427,31.919699312949056,28.992357410463363,26.865830094874738,28.72420647023106,25.451889076997112,23.706499790053037,23.198679301813172,20.064467103363935,21.776499360414967,18.634547265767832,21.300122311481964,18.518629515521454,24.022410051622444,25.630727640553097,23.38870588903352,22.567286848754037,17.839617492758265,17.913079325639448,19.14307000740139,16.650264171221234,20.71907044940644,19.7217446330169,21.553316691340477,24.699442806206974,21.898631457932243,26.096191850537,24.256993460807816,27.349085375433695,21.486460956616806,19.132489207228105,15.460883795840918,13.780208916998037,11.970848407098703,15.173528761691308,13.580077472865668,17.633834661557216,20.172167583681837,19.145750342198077,22.71640613934937,24.46834822683479,21.99334632548195,24.61295665839507,25.381088553097737,26.246937380500945,28.864364231073168,31.52879717830153,35.85948067521154,38.24161853950782,38.09623504396417,36.475630596145464,33.046192202736336,32.21369585196289,31.022503055777797,28.653589381743643,24.541684645688434,26.583159319188102,21.142629336533307,25.1507010359447,22.585682261086713,17.18080273738472,19.438986443300458,18.431619455434284,16.568954931856062,13.934283731661603,16.584103282663282,16.929114199613988,22.13682364495902,25.492891841064804,28.440661111808282,31.627866666118337,31.871614822488635,36.42281982550944,33.156167195715895,33.83022155599776,29.20211507136813,28.495496107905385,30.000760408368556,30.789486829511674,29.407879362393913,32.248339167484026,32.67112281978656,33.17875756204284,29.299977269085957,27.938580198753932,25.51397169187003,25.997826519695725,25.93089118826532,24.245147925398324,24.865858351294253,25.095228390253244,22.058747661024437,25.431151193870914,24.706507809599863,25.959520778510395,29.565738434866518,30.637450278935212,26.770756626032256,26.819036924590257,31.21813832153543,29.48403546448299,24.866607152157332,29.430098878089503,33.75477796435952,29.296531454315662,29.48287488204775,33.483357995704864,33.07891382617692,29.809509648357828,32.567371790644515,29.988046296541878,35.819064493039505,31.370353798322906,32.052702177215004,36.20166028132387,38.7009184777109,43.5171714188235,43.08474373425761,43.3318147913637,41.30245876740233,43.00239079037771,40.272986063480964,42.40773320537464,41.30732393603781,35.50330813745138,37.03621494027288,38.70884565699954,34.68545097082025,32.217775822546905,33.64200467109103,32.960992073024286,29.580039209571826,26.97970457397857,27.527439692084265,30.276810612938082,33.91793691516548,35.67913902333142,38.31668294152318,42.41460477728061,39.944521485077026,35.660739052400636,39.444102728764285,41.029443311842094,36.300985701179975,35.62392001901061,39.562557364000426,38.77866771399032,35.515876835409394,39.644822749188215,41.580500002665225,38.541287630792525,38.40893138826813,41.75504724304268,39.23844900917335,40.74205938725345,38.51648636922833,40.700034536629346,40.35288100438394,34.77192893270696,35.94177968799401,37.19629590002936,34.683429046131465,31.19792994844697,35.685496270436175,34.98645947765315,29.75220833039069,29.649780102696727,34.02436847183456,32.602262195485096,28.700722563713114,25.5393799483552,27.93625901743896,25.11371933480819,28.878314107251928,24.669307550235555,25.454678485238173,24.291467193008156,21.588563912445334,20.367290531810948,20.43700290004691,19.523659190076696,23.067580796448198,20.349206827411695,22.221723355917042,20.112318252593344,23.692987293271425,28.087168496097014,31.39775586200096,32.08095472144084,27.438256160464785,29.51138953146746,33.09972627023154,29.7475273364674,27.742156361980175,32.30877730998949,35.2509569929573,35.32455465485289,36.91050146303168,37.447923220511896],[31.374896617544046,28.10338286069717,25.516751669922808,21.85249611766213,19.866391632070904,25.639761287277274,24.95362636800858,28.962843242524027,29.82032100026401,28.285721148545896,31.753324003627398,34.71176524559708,30.635185661782376,29.75191980183412,34.20133434493508,34.06932849471385,29.810168725581264,32.526159799348456,31.67770556743974,32.959038985236724,34.73760233294364,36.644516824673644,36.4629679967575,34.00710900234694,31.718309506932297,29.73843864206959,28.03890017321824,27.09914729404067,30.763429980370788,32.803521301635804,38.01712075540764,37.89811399734599,42.40496804217363,44.15788094217184,40.339269643943894,36.9224629791861,35.893883038462434,32.698346417699995,29.98999138504026,32.753159764440255,28.865739726604566,32.38494533257433,35.34212368412926,32.70084448795553,32.56140109148284,29.58525170406743,32.20640577237862,33.58144763154659,29.41631913354899,31.166445355062613,35.35543913934858,35.94132574707199,38.60277296874591,34.99978176270594,40.76735728533264,42.66699093129695,39.43069026448343,40.62616980966451,45.03412107054271,44.096449219613625,41.48470660742551,45.15860831899723,45.08146071956073,45.8976130764084,42.01119121277819,39.6475555545962,38.46687124954326,37.489379041060914,35.37343244481808,36.16634443639553,35.18052170171738,38.26058622058745,39.88815223449781,40.50258708374209,41.05876300439727,46.34176204072484,43.03751875042321,46.95811973513695,44.31816070519083,43.13861951741646,41.64384393466236,38.667071035930995,38.299512432433694,36.107640746393685,32.30191421344928,34.00357055323051,35.94406679953796,39.43243995206087,39.12729316920228,44.55039864872674,42.99843607638548,46.862431009420966,44.99799137774366,44.2687526953051,40.224753952736,42.39230864372883,38.6641150826102,40.297902276087555,38.54411114695406,41.30882844971685,39.26185745733545,38.15946591248218,36.821738047322555,34.59880203328973,33.55450274509634,30.149695347687032,31.921046484958822,28.65862731778693,26.74504092581458,29.061986715764483,26.164656417235967,24.72405118947731,24.847864231587042,21.79514437732226,24.075606481726457,21.02729300194065,23.702244101689192,20.97704937262934,26.535922723707262,28.232561129156256,26.25442002779182,25.44388097883315,20.80065815569941,20.645143812985786,21.60780492754723,18.45005811875957,22.0516867842272,20.562843710532995,21.807750008482298,24.70193571731455,21.252687800838515,25.152318090950796,23.222998301537658,26.833009098362528,21.00071327467149,19.37651186928884,15.207399663835382,14.508713193091314,13.577485945278827,16.638610667357593,15.388408626075963,19.00659898782763,21.93782177447266,20.835866045073747,24.09104161860888,26.141482299116433,23.75829944251062,26.400510955826153,26.885676099573,28.057088218463154,30.311289625892382,33.36161598780119,37.393348917530226,40.087088165665676,40.11509769836581,38.276622393811785,34.940230128906165,33.7025139271597,32.683753120941525,29.754553356911902,25.480519460584766,27.834646052321926,22.21540252516449,25.945930930695468,22.68138165870043,17.171510715202604,18.679055898771743,17.082839246153817,15.00049533644014,13.198336673907113,15.989887099768993,17.185785451884023,22.30488190674531,25.866587349130082,29.114888668370853,32.361726390505346,33.10795597390121,37.28729959226337,33.822324064083226,34.19411314755501,29.2819384482505,28.683598330998297,29.53819371545062,29.973093892636403,28.903787478365455,31.699415965042807,32.59109053237311,32.62810497752588,29.181215560092543,27.286101255979013,24.668415251817773,25.12587974555575,24.549706060693307,22.805625070631084,23.228140601795953,23.172891003373152,20.514395746629283,23.932483815246005,23.382610628975364,25.23717457524506,28.592747226078686,30.186528942572266,26.544368671702948,26.148457200275452,30.634604824657437,29.453393533327834,24.705455293371884,28.978203671736495,33.64770693508347,29.615682364982604,29.549864588637117,33.5172185371969,33.601484605224876,30.393518914592565,32.751245169948284,29.890637075890798,35.5749263520029,30.498522803653433,31.246816161869845,35.42455611818495,37.473471230127494,42.29013357475742,41.65706552574542,42.07023085325105,39.923542587255,41.5848915954859,39.030047383066126,40.79977305669783,39.56152788612216,33.986147809399995,35.42729205318097,36.674104607804914,32.67629899065597,30.37134047226525,31.565245013698515,30.54779912076725,27.371317632875066,24.912670583241052,25.93913544741818,29.018772378424373,32.56276191896528,34.62033967232731,37.47155596913081,41.69543435383437,39.5135764601232,35.11141256768483,38.95121386316895,40.87275706611597,36.325179331558,35.465090559841165,39.62296149927785,39.12918014721317,35.77141404899359,39.60656248093046,41.828224114988885,39.079114632409905,38.53480265137714,41.66945831247279,38.91781862802861,40.21469843823546,37.93128583284532,39.752953391367996,39.48412074320794,34.075180588612504,34.864516250087014,35.90854698226084,33.55729562089984,29.92399160896744,33.98258840374956,33.2964990936725,28.26238390340388,27.805538985124695,31.911053486516195,30.585978240669952,26.83231317341476,24.11389690188233,26.109513585956982,23.722808594812676,27.80167644877802,24.086595912121485,24.966690728074095,24.511087185842214,21.63765625414027,19.95044569343336,19.35635313169051,18.315415982215278,22.01240515799506,20.018615070016004,21.690776361729714,20.414703165182267,24.175948084731438,28.518566805319892,31.743309326821862,32.915622490300024,28.35483610222354,30.230775937927874,34.071435581274514,31.173648577516424,29.051287701286846,33.36347446299949,36.56701756624503,36.84842787612753,38.58385670357849,39.10295062221802],[34.976998329217885,31.791546241127943,29.383863052600656,25.469867225576937,23.66085509937809,29.185454246933354,28.26940762880936,32.24224894955786,32.78194359894199,30.853859293154787,34.146367385734074,37.31577048092669,32.98725413568145,31.812666424701945,36.111083045672395,36.04349224962028,31.526508941321566,33.804234559211544,32.31736608676589,33.72186715671905,35.01649705709116,36.77785340001835,36.24070771958952,33.48655260662361,31.622034907512525,29.903019417370697,28.718604311244267,28.253125594207503,32.21599985024719,34.69203775404319,39.60469632212262,39.9572902185065,44.40123108560733,45.814767464398294,42.03653098659403,38.371282645901985,37.730152902047486,33.9856753550176,31.16526482955128,33.73034019502216,29.483481540390972,32.874829769067986,35.66333596203543,32.71607724720124,32.06384756919217,28.921476925561308,31.29740402899184,33.17038187702108,29.322585146396523,30.952795517529,35.32520139464922,36.1835540584101,38.926924252800646,35.56212015362469,41.50760424349491,42.94464859208931,39.58917942412716,41.23726765093839,45.51079053094435,44.10446090766091,41.63413814515885,45.46487409676315,45.684211686720026,46.057267807610025,42.09282962720876,40.13994739782916,38.859423006490246,38.30775694892059,35.97601349954424,37.16683923906041,35.933101723918995,38.81349598318533,40.6712869659846,40.957886029899456,41.9532237622575,47.061875078043066,43.84281259031986,47.96164951163777,45.36463601759108,44.052301120989554,42.960732897256655,39.90835278534108,40.048473264182135,37.74632451877638,33.79566064677126,35.60935411594773,37.14638513390676,41.009527689983265,40.30061300835549,45.92901310318972,44.24399198455243,47.95907409047473,46.3339158106341,45.91320656347569,42.023329447205846,44.192530676359496,40.591048910962144,42.497925831901185,41.02315482259562,44.13352113313679,41.80761894007659,41.09906790720186,39.40662995655083,37.56486047405099,36.35804159204746,33.279129880301994,35.186147880021494,31.959307156947332,30.326809679322622,32.56239833450311,29.758863091906996,27.948914044054852,27.999307831676628,24.62432681755652,26.40692539377071,23.034799231140685,25.21144205321458,21.94094565421751,26.99819821929868,29.308635055923205,27.36226547693214,27.03787270099958,22.42002187292107,22.861480294983664,24.362731527469382,21.472871131866125,25.581778420262268,23.982970342539748,25.32991323694046,27.891533051172825,24.620368683169424,28.3364073868053,25.99244082631726,29.623249506192376,23.758157111632432,22.280879380735055,18.570774646112927,17.371460099615913,15.97991756011359,18.51805065087294,16.091129190388905,19.086739036890876,22.52112452818815,22.044386201543993,25.253526624633185,27.75178929922086,25.65825291843161,28.718037123477476,29.602995081135916,30.98410833393057,33.5501409702693,36.55011086388466,40.70732164631745,43.41935234239601,43.191027187234184,41.29960210613548,37.7880464650011,36.72458462335979,35.320755672042644,32.650482386358945,28.052116240754234,29.844305376139978,24.044283285793398,27.505177764468222,24.124056534284595,18.37123856163161,20.24659472002275,18.024570237452995,16.77003375630529,15.192114629551169,18.320423384800822,19.415376858707145,24.373541436920824,28.0327787139425,31.268283637855557,34.76236131734161,35.387538925328116,39.54180501394724,35.80748941029743,36.37948254713043,31.254930525371137,31.301391356043535,31.899198887851323,32.093529169531884,30.68166987179149,33.06685926847551,33.72817216095815,33.41156748913498,29.66713760867939,28.002479419376275,25.637810008733496,26.684381768671035,26.173897224345914,24.846733144727036,25.576687019603828,25.774428804298346,23.616339162951792,27.21509707166408,26.993037816518527,28.95133392027058,32.36902671317112,34.046767503846404,30.440906739182836,30.087648238259586,34.584858025963605,33.45766621706347,28.713544095706844,32.954263481194616,37.659565720966086,33.5994382299439,33.48917557134094,37.4590477057301,37.53372522857486,34.221601756783684,36.53983084446945,33.68396425797819,39.399475417639074,34.13888050575424,35.05990942304213,39.24689498541929,41.18624040151269,45.93889320607268,45.28934458780447,45.81961994764771,43.625197374210096,45.23433298001113,42.70233882250306,44.2728631603256,43.0419305070341,37.59813460239624,38.88682957708408,39.906862081551175,36.006103680189106,33.748899317283175,34.654080638080764,33.52421928044926,30.59509351374703,28.045634285270914,29.503330932393563,32.48292879909151,36.024728134758945,38.307367893552694,41.11929708156222,45.432475073340825,43.21193552677425,38.86637307685759,42.82814742782785,44.73765436806697,40.19240341681819,39.42518934493249,43.60463606194374,43.10414482303001,39.776628672284204,43.61877482325734,45.83847889489166,43.06066680853491,42.53143231362203,45.66549815177002,42.897172877556756,44.17866380468852,41.8743372785706,43.60866463713284,43.36901275448979,38.01160791171895,38.692435091936446,39.658927498877325,37.35549796884497,33.7008598697625,37.542648969352854,36.81214296133948,31.902276069796287,31.306700297087005,35.183045752071976,33.83362629627192,30.188256811922216,27.665963004303148,29.241461582267483,26.918840543267677,31.197767574282892,27.664419253830665,28.798768367887188,28.394293662407836,25.327580250327866,23.751349828176792,22.983087767763195,22.102508327560148,25.884775556923113,24.01446276886481,25.550201527779603,24.255465564468278,28.122222954033923,32.37338471956488,35.6645467485568,36.70108496577337,32.17358900670006,34.17252568359757,37.95043635190207,34.86314760777813,32.839569726517844,37.23509388126508,40.35362863797845,40.53908806430567,42.1791052057877,42.65582553884832],[34.19826571182445,31.047702100617467,28.58828791958618,24.256054633641863,22.119346808933162,27.066212834476488,25.594436814612433,29.376734736563822,29.60376766299931,27.235240826579464,30.364883443034422,33.627990308493295,29.075806331918663,27.789056725150367,31.917886358497963,31.859064563996636,27.23289311496326,29.338442166059902,27.73912998931856,29.246594200950934,30.53237251307715,32.46275496362396,31.912023877102495,29.26005088934404,27.346786191791026,25.432075257269343,24.324750256636833,23.843204931344488,27.871195090928182,30.530118590363656,35.22979298963028,35.848691670560946,40.22915351449821,41.51004857929742,37.810168273280816,34.05718230091668,33.66792573576265,29.80438128025071,27.09392671188097,30.030216855522376,25.579459685097937,28.644148775480915,31.62416173603056,28.824819744064705,28.239142934730435,25.25180947585087,27.891899598505073,29.636358177405697,25.7970036300724,27.896696907240404,32.10857030572576,33.14236144683052,35.63617300171772,32.01548811344878,37.961180873752234,39.385008651590326,35.80998582889575,37.29136348799027,41.651375663854104,40.288429078803034,37.533387567163096,41.20168103103797,41.32555547439549,41.65187540618278,37.76400001227675,35.76942826153897,34.31670220398323,33.760707594390986,31.38179802918265,32.63293135934967,31.39532366323515,34.30302753767523,36.11047703697824,36.35664839874477,37.38933591290575,42.50829247124791,39.37864471174758,43.538728469450575,41.054647042255226,39.883140527902285,38.95442991700998,36.119762939558,36.43470083373198,34.392579275404835,30.30595204683131,31.809061251538534,33.07520567601534,36.97208705016064,35.994593414340514,41.612237568371135,39.80044896438474,43.44258609349744,41.85752286114491,41.541765277067285,37.72665760782396,39.912607108541046,36.41227244648761,38.42568062412145,37.16152638572318,40.57450641926979,38.04263670425289,37.78166275746513,35.867260788008245,34.51060051406032,33.58039765193038,30.7270206537421,33.123636872539336,30.261119890931045,28.76057579644126,30.49889362685159,27.6201663779462,25.196021781126145,24.97326295906564,21.2735577555089,22.53838868662173,18.977982811067687,20.864825561086782,17.43487922025456,22.40824393555972,24.79556312854909,22.90187293094241,22.78198763138733,18.268364233286718,19.052183688135603,21.024290148923686,18.403620101044588,23.226838467874405,21.607005672915793,23.41736538047614,25.790955094470547,23.344791282659816,27.21287331017819,24.656205385941153,27.704599091335947,21.810918690464764,19.79330701314965,16.965927788476314,14.613734334418249,12.502400597040454,14.681201532698106,11.708369117311648,14.866428148567907,18.12760030882273,17.80317050684792,21.148098366231626,23.622177506485155,21.627715134826712,24.890692274154972,26.151340605261392,27.637645526270287,30.60540278018661,33.47969112189115,37.79554331963827,40.55426933183502,39.93934669216902,37.98130493419893,34.29423812666687,33.497327776722386,31.70930518708547,29.49866010290716,24.786366106760035,26.077578081415247,20.337381987530435,23.87414764243268,21.047863879322946,15.355559431097161,18.097271072034577,16.5109058703369,15.70333917812174,13.197862697626672,16.283278815630943,16.52393431616166,21.441162091036514,24.951878883760315,27.934647421058994,31.494302685320278,31.73592569826834,36.09369436133124,32.39547064423052,33.28833102754125,28.337856218735098,28.59653771996332,29.67536046708035,30.154931151852036,28.293385001405102,30.612556629632863,30.75005250185571,30.887476154246414,26.681652892069188,25.586068883622673,23.471300803899467,24.64886613473992,24.783481690334423,23.665747160827213,24.7991480435457,25.573807284727167,23.2213310471388,26.96040206038731,26.967397403298023,28.241520200527415,32.17720424886965,33.32474594752384,29.57087044667891,29.99599482236007,34.43125592385463,32.86474934407466,28.6203728143475,33.15405553811078,37.39653043580503,33.23002264548397,33.60483635746102,37.58284321180113,37.158715951254855,34.11592638413767,36.95362494260462,34.327658842972426,40.06408492039213,35.513686440157365,36.00551077240561,40.13824632392395,42.35005233695235,47.283189125567894,46.57494049935826,46.60912827642545,44.305448016740606,45.719963080028386,42.793592746331264,44.66064447281929,43.85340646758017,38.126323501565786,39.202391933459275,40.78227371128865,37.04788688975417,34.385716118565924,35.2866902419002,34.88045127367278,31.906761277356484,28.649023389776676,29.935469473383243,32.12289192267472,35.83441224315036,38.06441432885944,40.46794862941404,44.7857629147862,42.115965468113444,38.02384285816769,42.22043190744038,43.686492274843765,38.97936322116156,38.69508096607649,42.755655233285914,42.031024440302815,38.998908606406715,43.16341663432732,45.170178369856664,42.295321399437434,42.27986552732264,45.56408586057034,42.9995911246676,44.230043114545246,41.73195166608771,43.810577517672314,43.8432882551662,38.303407514062734,39.05812976977416,40.50734140508273,38.227909406031934,34.426867996917935,38.678430556849996,38.350674846527994,33.23789819839573,32.60451283614041,36.95068601885029,35.88776339587892,32.125047194043454,29.324894621663685,31.609561649237502,29.141755573731853,33.04553429858965,29.019085120358287,29.61227254852682,28.558471327271267,26.06034433135459,24.610595205175965,24.47538688981888,23.204277815583257,26.540935737986537,23.70876745223776,24.926614877105568,22.881756338112858,26.981778162223723,30.87532268951674,34.38945466644708,34.84207040679479,30.43930786767243,32.9830774639125,36.441860030013125,32.825775153997945,31.404634208883333,36.083761300496,38.84506866569271,38.78092721605446,40.21333500147875,40.542805992119064],[32.73467470670976,29.357205543594695,26.273640022178412,22.72999392903502,19.615235332448034,25.202840887457192,23.819569241816808,27.37682827631661,28.412023770995535,26.41690413063109,29.794288587422148,32.568047997411455,27.99825574034306,27.54497290240844,31.570288978905864,31.067249156727563,26.676780751471235,29.115261667849275,28.173124516536614,28.997641263488454,30.74732038973144,32.343857173228955,32.34090954948182,29.93989857898714,27.46950026497596,25.78666737108134,23.91023040293242,23.29512033181652,27.052466185314508,29.241590407358828,34.66381361742371,34.48157074861198,39.01054502728031,40.46521197396356,36.50743777530763,33.0206135291331,31.950534686415914,28.446433458200264,25.570756820178335,28.0192266969588,24.188408229504187,27.957451019140013,30.735292992944224,28.064087267337786,28.085658083505074,25.164163412667424,27.790690536082742,28.92839604510074,24.69759667742418,26.392261030197417,30.530798006571395,31.07626683147499,33.73865594693934,30.16486038557456,35.941092306399725,37.82790705978667,34.68110268750156,35.934264207479515,40.283226765547376,39.37930458835563,36.923809227560376,40.72398088387223,40.7743397407975,41.708034953588125,37.721304678384584,35.37348248915205,34.63434597123642,33.79842858429584,32.08050879926239,33.18066024623844,32.42382327417101,35.700740499275135,36.941223551479865,37.2112175961871,37.561699120529795,42.57021070287961,38.993140903238235,42.88500616937156,40.060235282643774,38.659862124314216,37.18213815107522,34.03991714934111,33.865148866805754,31.52494220845461,27.68078454856774,29.58324180057943,31.501815839902896,35.17364487188415,34.95401145866797,40.52686612842648,39.208926010453034,43.20842846276604,41.58030296441604,40.98381504439688,37.17229061832424,39.63535805301718,36.15565792406248,37.40602124416715,35.85298926970015,38.80035654001014,36.121454903634096,35.195530768851526,33.30614814885869,31.37524052689973,29.927489001786938,27.01723652320918,28.984509875401628,25.86166670905332,24.548773225312335,26.648583406435936,24.17633168564413,22.05980572546234,22.635395678435366,19.126028813083476,21.403113781054298,18.217981397711057,20.499211138615124,17.74516782094831,23.2326573430665,25.073245434902798,23.571888581288754,23.04014896836304,18.702797182043312,18.68624690530016,20.00711119777977,16.337856861891026,20.560093469751315,18.29997301799386,19.526223373770616,21.662723869545452,18.75947877573965,22.449481426575847,19.90993454344779,23.285508967013744,17.406485472008537,15.94373425722245,12.684378325202731,11.287437978104174,10.491821110888294,12.817561774309908,11.61383199930503,14.800649081573642,17.88362144220378,16.801990873094304,19.753816943070337,22.169049702103194,20.065689903279203,23.050088600218828,23.73726015328723,25.543071268222867,27.97437467053872,31.37475344453143,35.26364282318276,38.48737807497623,38.10089681075107,35.8327481596866,32.322555986622845,30.94646244914837,29.519218349227536,26.531908088765665,21.7854622305366,23.788329860716047,17.992538203105156,21.434175556667697,17.984243308664276,12.39559960380027,14.159641627500358,12.689036217972735,11.102983497546052,8.910062013812182,11.94264738855635,12.99691849753508,17.955984277766078,21.61128471843194,24.910571012302103,28.378389129091346,29.239819099386995,33.20837656109105,29.485577050506382,29.942934021788748,24.85992071154924,24.826823981802868,25.50140433113252,25.86587658834323,24.468113320134307,27.064851989698262,27.801592164207317,27.8508847162854,24.333022284836577,22.52821736266327,20.01991780467698,20.68030996108592,20.43977987571488,19.02442246135745,19.930072323282015,20.56294054454447,18.255003711911584,22.031918883848437,22.271181302020484,23.74636539771015,27.677774668899442,29.076414313080758,25.519979082022502,25.923998918488834,30.379394792391352,29.218186723337165,25.240286524038808,29.573474861083735,33.86622505328378,30.265930216075752,30.703279479745287,34.60310357711054,34.48685313331514,31.83360199015792,34.52523883280717,31.716552700106494,37.181307608231684,32.51095275322667,32.6183466933256,36.68990341253702,38.53755378000739,43.61158926408605,42.59251082614583,42.391847552933164,39.88534784326413,41.121043677242646,38.138881579547935,39.849552645191,39.17598473591487,33.500994917225206,34.374164376597626,35.941846235524196,32.34519411588334,29.575115065126184,30.333498251611317,30.12797750566047,27.29133992472129,23.723807478257363,25.249845803762224,27.29648554356847,30.986273920075043,33.425154398059654,35.83976966580239,40.26191430133662,37.707713155154536,33.60055839157014,37.95167380729716,39.573192511032126,35.011489343566204,34.76123085471763,39.01417925816399,38.54327121832325,35.58274530312039,39.552107738053536,41.799681486397816,39.294042920800194,39.07002737716708,42.153307277288214,39.438950329162026,40.34117571065263,37.64115767420616,39.52343344109506,39.85810723046044,34.426237328823305,34.76955998022609,36.34919628477036,34.31031503519217,30.240568616063307,34.315916692886724,34.374805298493705,29.376960015840133,28.309244199016298,32.74928592767622,32.10309025683255,28.459815286309563,25.987012975461383,28.532457548098222,26.57065718141843,30.359540422645377,26.566804565325334,26.649581099761313,26.008697324126157,23.930961456226683,21.929016497433373,21.576815144784522,19.716858654100484,22.68973015321038,19.98880034250395,20.708953275156237,19.254412269660957,23.703004374602124,27.29921638015557,30.80149897722196,31.62480870094317,27.407118852500375,29.979182527248266,33.600298282096034,30.404062445030856,29.170345750039292,33.62904414480236,36.56511658640918,36.700199393419915,38.281146177379426,38.52747204137395],[36.15513123539435,32.75324008230817,29.6770244629532,26.451138891778125,23.512185346632414,29.436909776722487,28.29305491773134,31.867143637983254,33.043023059591306,31.10475535294797,34.47795439445444,37.233933527489214,32.608517016369404,32.17928736183881,36.12806811174984,35.55698582230059,31.087963999543316,33.287134338588494,31.975982955026073,32.64689883045472,34.0407258312259,35.25714435735856,35.075200738907114,32.38277052905469,30.213459956724805,29.016054307030945,27.408395455257942,27.262246637640224,31.161754575940446,33.503130322042075,38.94926549287197,38.80548715099229,43.332441302350304,44.586775516566725,40.55574610212742,36.98782275330321,35.931610161927594,32.097936242626105,29.01260171185203,30.793144896047977,26.98040975690746,31.024650560866778,33.403912149436024,30.36166221687749,29.99865285205585,26.827225720818195,28.993591221104587,30.530021452862535,26.530410418227405,27.608885728808993,31.996962471999492,32.529118477801624,35.50207975792039,32.40939805178073,38.27345485995292,39.83360152020095,36.88597824789583,38.647798577979806,42.765337437216274,41.50930345183059,39.517845015981806,43.629606566544155,44.023288789399444,44.74779459829716,40.6014009421459,38.59093471405365,38.10687967695329,37.619493567686526,35.92751610897782,37.336838393690186,36.48496006931769,39.6662794921411,40.984390866394,40.96158716193111,41.50382972361505,46.279597307999296,42.58598519749783,46.54584207423256,43.58217212671546,41.876443989535936,40.52282651926157,37.06679561684836,37.13600813003205,34.41532099636467,30.653258035355258,33.00508859175643,34.88512045212712,38.81381332430461,38.6183281325994,44.360617093102,43.16639511719568,47.17136188290646,45.74739013227885,45.29783351153346,41.60560224409756,44.13815141604347,40.731057152780274,41.93392070568532,40.4268224229527,43.33585115813468,40.50016623412819,39.440400839338864,37.388997704022145,35.3244667865785,33.35761045034864,30.637016226591484,32.18481494925874,28.777536979092567,27.723609174131333,30.216586379419603,28.055774602940595,26.197191786769967,27.101366960130953,23.651695893487368,26.021432058751305,22.7918354967983,24.853144970474204,21.845312716608728,26.9875493919253,29.236298849799958,27.83622028288426,27.534949009958037,23.202337509232205,23.34327646813731,24.672229387345116,20.906655428494105,24.81329682224401,22.373514237588974,23.135026220124224,24.975255097359533,21.497939351908567,24.716860490217197,21.990095712754393,25.900726802786505,20.20121980495584,19.571455797294057,16.05318665745858,15.482813478088435,15.064823413462923,17.07038019765689,15.388879062321427,17.752279383453995,21.399372199357487,20.703840589476528,23.348983645515087,26.179836335719784,24.311401871333192,27.432159927613775,28.071443905058498,30.053141552623707,32.30352320415913,35.86306836844968,39.59638809675551,42.93112848601006,42.64661463391149,40.292253194173256,36.82079986912096,35.262576703210556,33.86372770511475,30.611016141217124,25.72486335370465,27.68440213393168,21.792206041942947,24.76775200903497,20.674804130845395,15.053125792368078,16.10458360610128,13.407517996831771,12.223713420649828,11.521459319207663,14.682251810620915,16.51434173407453,21.09456001127572,24.893474801498744,28.389610183578966,31.967067839088187,33.16917484941674,36.78261723923124,32.798765139213565,33.074201451597276,27.685508440331823,28.0705780654355,27.94199398317224,27.76969715472097,26.548971282781082,28.807524417541927,29.899545492329196,29.18264477572504,25.968111777761127,23.763269302002634,21.251440189606864,22.28843925710536,21.432859888708652,20.228583501465376,21.019425118595436,21.357798498720378,19.82769209136541,23.610296705972218,24.066912817701848,26.268778234217127,29.79296891626692,31.77464657971019,28.473246257809087,28.28030041959401,32.777491302292404,32.156399461420946,27.897475682363602,31.89455672067667,36.58091866952732,33.24014324065491,33.294660501120646,37.162940681570895,37.513228297282936,34.703350264137164,36.934236246627414,33.890641035622856,39.277141013559,33.860460510646426,34.293115501563,38.39477962655816,39.79074779199359,44.734362782610695,43.60819020311925,43.785475299238485,41.23399889651746,42.487691628010126,39.81050722778427,41.025075102746584,40.09540034399577,34.80513897394576,35.60332000843125,36.49612020740658,32.9365726381833,30.49465958787481,30.895290331554726,30.08760691870895,27.59769441115549,24.398173367154495,26.594716902145237,29.11872931876297,32.62814076093093,35.399434378740814,38.08044869411234,42.60292589645357,40.40969465393351,36.188932714788166,40.50928030818689,42.501986837303065,38.146379245361736,37.6313108569583,42.04333221101489,41.82504388502842,38.71103912991874,42.364520811580896,44.84893593574207,42.526187796447566,41.8677902252088,44.76195918765994,41.82852148916773,42.62664687755487,39.980479800390825,41.43716272357654,41.71663905386861,36.52074810990139,36.54345977091013,37.73083986253553,35.81792842347982,31.7361023441206,35.20831176834886,35.08247566071576,30.396991910694123,29.041776105343185,32.940838727476866,32.23579541697856,28.82294610353875,26.873197823532713,28.620102547865567,27.033580766151566,31.258490528806302,28.06312473818555,28.591003703267795,28.629787244001502,26.08858884381382,23.88409374963053,22.80368422398487,21.17113911838454,24.46484176915656,22.732025327550573,23.434769136425846,22.78629333616632,27.17362964060871,30.8409506288529,34.19824365535502,35.45228939345289,31.25969918004771,33.522231141588335,37.358118306794076,34.520332555290004,32.9956400951715,37.24009740510549,40.406649743578505,40.69098790973099,42.371931191142,42.654950136638305],[34.05477340960996,30.651143795394823,27.646182198941244,24.736100035737064,22.119155739552784,28.356249868040496,27.709991865628805,31.46561858786145,32.85036474748586,31.39353149093468,34.92338250665847,37.591162252459654,33.33181754693728,32.95105130333791,37.161781566916055,36.67980258132187,32.42599106682632,35.01173037302943,34.121072827436706,34.878914812901726,36.57165776165402,37.9696476761763,37.93017693730692,35.373347669061545,33.03404629016427,31.588156145437786,29.732096765665656,29.18388910976157,32.86865710872771,34.8655936861976,40.46022948475814,40.00541996700295,44.57542859018234,46.16684032581543,42.14383250431124,38.765813843440924,37.439817442306015,34.07236014380506,31.09576913958433,33.051424025271444,29.482430390957987,33.55653227703783,36.07531748432263,33.21070562650094,33.0860861367541,29.979321211262807,32.245941074255114,33.59143485530612,29.433601590931357,30.539964145154524,34.83620048682924,35.17215241130048,38.13427946400742,34.93789676041541,40.674051193764065,42.525947721495506,39.66440489334998,41.15679752605119,45.360644381819846,44.37048159451862,42.28623117412262,46.283283206847315,46.46944657216321,47.419511870430384,43.34425762036686,41.09056048585176,40.5240896702592,39.7353426619045,38.023425424689655,39.08291732590458,38.28624125584839,41.50551618108871,42.8483730312197,43.14893734086057,43.51006853512947,48.49185411539329,44.83227406550129,48.67929982838436,45.73548299493678,44.16426446578674,42.52515892370949,39.132994614226114,38.7766758861565,36.12628356240214,32.50268331443613,34.77215452083661,36.962762074028994,40.58789525679616,40.66028181759662,46.22938046578753,45.05324322689279,49.112284539012016,47.452443052778584,46.7531514692849,42.87200677513464,45.29614802926746,41.70841579371881,42.86091653266,41.0745228171743,43.64174392684972,41.23646160538455,39.77031838755928,38.1745288654709,35.65866208566679,33.855203920952995,30.710825799404383,31.961834586248962,28.382463627624176,26.930624894826263,29.691992550834573,27.384556546166316,26.139907291469505,27.025905268389153,23.998993493882377,26.76756799699365,23.806309176312606,26.336681746846004,23.664798979347694,29.145438182223597,30.986483718124607,29.385188521930104,28.681849341546574,24.214932827633906,23.923685010564608,24.738434130061165,20.9278522065839,24.136663557735165,21.995265978897528,22.545221865581276,24.865067778886193,20.854417955018253,24.18771783113066,22.014280290855172,26.154124102330876,20.519483778317618,19.89828189060917,15.586626672893976,15.867301580483481,15.8440323649483,18.449725308540486,17.51035886702058,20.421017102092563,23.734866755898548,22.635073296353625,25.40933809972772,27.84199721213704,25.680930776303097,28.397596503336498,28.64584026893492,30.27311793735209,32.170645686951374,35.67612773261483,39.32393499096996,42.460177514744515,42.5650964808777,40.40221938078018,37.14246448527223,35.459009189904755,34.52254816995008,31.021733631432166,26.524661178767943,29.060836380942593,23.32871981064839,26.566666635438953,22.521805979174886,17.100374837640338,17.64460779472701,15.27569373905852,13.181892078151025,12.666619637530628,15.494353003262427,17.62670244277379,22.37007859024032,26.09943909180344,29.63865192107028,32.96534538695507,34.29171085098078,37.94492098012583,34.214548982939405,34.258095198151004,29.033215004190158,28.752160405688944,28.72659560188781,28.664286875396073,27.905313752950747,30.522239847184036,31.93592708983442,31.350831769662985,28.47618966033362,25.986062415421273,23.229492408004717,23.746659672337,22.556135337872796,20.880414590817495,21.151082678931065,20.874518304658082,18.966740482146694,22.453439770826577,22.377958252339894,24.88628879921618,27.995195470346058,30.178342018822946,26.90360277547279,26.166126083388725,30.668499928916532,30.1868722407807,25.56612615263809,29.413100396375377,34.336508752618016,30.96506261473487,30.726894129592164,34.581050853963426,35.18158766708096,32.21078908426966,34.15713909177576,31.02457621382888,36.40363116791421,30.721806268827425,31.38990795843859,35.51989106521615,36.91888693616146,41.74736534842801,40.76683237802429,41.24433494822908,38.87000889641217,40.356306391253696,37.94407519387734,39.19113683755339,37.92249191706285,32.69217995346904,33.83960296521635,34.56270601577837,30.750819889127094,28.580943189978097,29.302421764146676,28.024736388341225,25.28849325894661,22.776241125988495,24.618348992518193,27.819245118006858,31.21565214863681,33.745614744853114,36.727660368035465,41.12517344240625,39.23045968337536,34.80443278769962,38.80418951676808,41.04626341746473,36.76063096796659,35.84242287360353,40.24351976647513,40.10318885594973,36.765365143463036,40.24482884233665,42.79258198803443,40.46192372051266,39.52029709121852,42.36215361409182,39.36030483586057,40.294152779746,37.858351024166254,39.21740953772452,39.2016834519193,34.0667928243586,34.24734898024216,35.13751263835863,33.105109097866645,29.221928441244447,32.64695349826204,32.17573284990623,27.500757486899083,26.403460620156682,30.152051438184063,29.15396429663839,25.701408001666973,23.71764092868753,25.24919908189641,23.618324230315903,27.939114570209036,24.91362677535167,25.701739503415812,26.041731636265766,23.232884713449284,20.99097647018581,19.656208980489307,18.292652803105675,21.870290597681407,20.67958679719225,21.812673074642657,21.52522245828757,25.54927616809446,29.56696195903178,32.71078728437483,34.33907095280022,30.013736165024508,31.810565122223693,35.83169256461376,33.38276269947548,31.368508383343467,35.39376726038056,38.78627782375539,39.24583667533146,41.08311248745433,41.513702378004346],[38.55558776688869,35.259942062460574,32.55215985358918,29.297588821222732,27.094384267307166,33.10706830217689,32.32334471832055,36.14473095439321,37.14845733676336,35.33008145775842,38.70099148713782,41.64272227793553,37.16684485917094,36.3970696860991,40.520016249565614,40.161934011267995,35.63308738490279,37.77267140075097,36.1763214495535,37.11620786285928,38.24473921561962,39.47768733996316,39.00167016073686,36.0908308281425,34.2870376169382,33.145652027466674,31.900844071717906,31.854166611342215,35.85980694694136,38.325976202855635,43.563989624700746,43.64548468535282,48.14813850135402,49.39085282250725,45.42681364589182,41.77459710333317,40.88983951445395,36.93310396941512,33.84620788073201,35.57330105623499,31.59691001970237,35.50865574845965,37.81305879864703,34.584043815008236,33.81635864454892,30.500046749354585,32.41145139453972,34.39915168338019,30.65770862101803,31.551184992584297,36.0706956409581,36.71769234308805,39.803606271189544,36.94486991981108,42.87222532165808,44.14853058347182,41.173722824234304,43.22338568512201,47.24352550504509,45.67479237343681,43.794536882201456,47.97581575915401,48.51811289428147,48.92952585825262,44.77152856159795,43.01793399253583,42.309627220387576,42.003855564233014,40.00661253908614,41.48074581608345,40.37723754700457,43.3409130358917,44.99500499551796,44.95434675980668,45.84361387347765,50.64589062988597,47.10910134578817,51.1853669852527,48.303907671432725,46.58540844576375,45.41569174875744,41.94240452872589,42.157089799236644,39.38680884181858,35.618490645051324,38.003959811060334,39.73334567542859,43.77050134490629,43.37722885593386,49.16573968793709,47.81809447337596,51.69352816659197,50.28306861034413,49.917790391670366,46.17574554667603,48.56590580774819,45.07701224769712,46.59181153655296,45.083088688166484,48.01356264207645,45.3856161427696,44.331100425150474,42.41600979528458,40.283868239509374,38.3524538236985,35.510503914544,36.890423022482885,33.345790481921135,32.116004377832084,34.799175570375404,32.50969124402382,30.945712274027173,31.6520133055216,28.321681162063175,30.553823532760113,27.248114498637655,29.31358453778037,26.061559617859213,30.993463324497526,33.49247277874486,31.86271469157963,31.639474537627184,27.137302351057972,27.44761610002786,28.785212842292406,25.333352568197647,29.0486947913599,26.940547280789502,27.657873110382724,29.741136690365433,25.906937476474578,29.045974151826158,26.50675848082475,30.65481306803521,25.03141326950999,24.50124035241143,20.609248086296876,20.313047468344667,19.697396773914075,21.90319685012006,19.724129948330194,21.975680204147867,25.811300123949206,25.397762661235443,28.151611865929034,31.038016427576373,29.154337055730302,32.289404496260794,32.957089858035054,34.71551375467467,36.94674439989411,40.343512625756354,44.17074929756961,47.24713621696625,47.13432748180934,44.97652142362462,41.53944303533091,40.07094243233459,38.76249391709514,35.55989638451991,30.76336590697637,32.71469243470343,26.80366102032953,29.769693563330556,25.624833373352914,19.982950451085998,20.929473995395384,17.82179281731438,16.774818203162706,16.50662546184069,19.63403385111752,21.58406946561372,26.154438244795337,29.9667129819187,33.476062905000084,37.053893408047905,38.23005111440728,41.87826468611184,37.8667000115438,38.121352143567485,32.679476938380816,33.078909121812856,32.76856889803023,32.411000796830876,31.301559822438293,33.41422631873724,34.59247132607867,33.52999049673415,30.364820719127348,28.128585173134507,25.694589992606062,26.902559942116984,25.74561675225582,24.576857174952103,25.149816278925602,25.08020491246246,23.760419693173,27.33095624598602,27.495260139422488,30.138990111946665,33.19515124134124,35.4884827312584,32.24409122492955,31.425049417346052,35.91796480719253,35.483648395693784,30.72760057524155,34.52270430421444,39.54418353762821,36.05049930755979,35.662761859556205,39.52736243801122,40.15709969133408,36.95059726991075,38.780664534008324,35.648625718114836,41.09471828011957,35.12082698915752,36.133336673962724,40.272105077064616,41.557758012270455,46.224241573742134,45.29892936583703,46.05575473126376,43.707226922884196,45.20363682762582,42.93036725121231,43.91499555534011,42.54545748499844,37.56073694925629,38.61827760289026,38.962649618255135,35.24411206160105,33.266423024276506,33.69518354596969,32.1111143943766,29.680553207518617,27.336228330816443,29.57289645456233,32.803057902281665,36.13290097658387,38.845741565717695,41.84697628096293,46.29468735777405,44.4401012461293,40.04408301194377,44.0756553032674,46.36181109696359,42.092706269557596,41.168597019623775,45.56870124584269,45.419332201971834,42.04134798802567,45.495231410839885,48.03704784674899,45.63149704079161,44.63697230507056,47.47880277922281,44.45184792827774,45.43982256048911,43.071883127668585,44.29710412892765,44.19627489604757,39.15864307402602,39.295036706245746,39.96784450305607,37.94756877316685,34.164713847194385,37.27641372967693,36.594507013081135,32.1239246409812,31.003232962869006,34.324069780296746,33.163531561231366,29.880625881534453,28.113846020795112,28.972671698825874,27.353777996984196,31.939786047594115,29.17437655597821,30.430394274527178,30.841222786566114,27.65309948208741,25.641516786376545,24.10704749299803,23.143157489321922,26.923551120578715,25.966114698793664,27.144233614649945,26.791928135553817,30.800879331711723,34.8642130984931,38.03535872326379,39.56116047221214,35.20209665590024,37.01664598450443,41.010924995908375,38.39116806918986,36.313683008642556,40.42132885239012,43.77723905882955,44.16124598229045,45.92481198000723,46.36450950133298],[35.06518507387034,31.766177108499615,29.016821470276486,26.89098979782591,24.99029317535146,31.537919455677347,31.67434757989589,35.56737828308085,37.242365128258996,36.397324581953264,40.05280213710511,42.59177809601446,38.76585739048499,38.4347600891782,42.86544151252789,42.45799034447604,38.417815796820655,41.26142363969935,40.592886574539264,41.3702220864203,43.15793658743701,44.52990799701549,44.5228441309634,41.938664951058044,39.61344884759709,38.186957160512755,36.250234025571885,35.5561928436644,39.08702269326992,40.799041399089404,46.52955565280097,45.76484199751383,50.35746228321309,52.205626670422355,48.1649631720109,44.959124322562296,43.36140845655259,40.31926566361954,37.35509298868897,39.10200789856076,35.80368314192964,40.041417065227094,42.46649790307332,39.58225724459732,39.4633729222504,36.2821738813768,38.372867357142866,39.76909715083097,35.60662539548709,36.36851870150366,40.67949251318376,40.8000051139728,43.91724415138589,40.94196701438128,46.5552488793804,48.506297563018165,45.876848085798756,47.38784583402536,51.52282587413871,50.60090114897517,48.71108242234844,52.763157348526626,52.93702081725711,53.990868315536815,49.90328183240004,47.60506102269059,47.08685249229001,46.18497646496318,44.45272860146307,45.31204182309122,44.50693465719136,47.685474949754344,49.12398907955467,49.60626121461014,49.9009338232692,54.969430768930394,51.28955580132242,55.050141621356175,52.053131125064525,50.44739647166052,48.58036083355209,45.08754418509742,44.411942042541185,41.62937137493517,38.24676728027365,40.66923105632908,43.15264210380205,46.58398292846831,46.95689544495959,52.41938624106955,51.3351700563518,55.44454718044276,53.64423442257352,52.754664338722314,48.741003298264296,51.06437792689509,47.325546167705745,48.40414051391048,46.335448739207926,48.45546920313262,46.49225949621067,44.4804208940088,43.34226973518363,40.24745696946755,38.34003859919254,34.88142916863074,35.47104264723183,31.59617953208134,29.87414971304665,33.13238782530169,30.91744290537731,30.589234304618984,31.608336262916403,29.147858583857325,32.31254789145521,29.635741374130646,32.483528734084196,30.012024854396856,35.60901453457266,37.2631049299326,35.50383363241487,34.52318665176026,29.96887778924182,29.345770172492575,29.618170946775205,25.84628569372345,27.997401563037332,26.198874699017956,26.211973475914466,28.81189282912772,24.017123700565733,26.97725139820292,25.47721941439447,30.037994298259363,24.836619535824262,24.712587445300294,19.724241565121773,21.193981621059933,21.651517300238414,24.572665348142007,24.028544787593873,27.018119105705583,30.2897223576833,29.026742632942412,31.757688440640862,34.00153709603701,31.69044333378541,34.0386033506102,33.845481584802194,35.144195950571245,36.494902814342915,39.9599327372478,43.35473691323832,46.260687415465775,46.91770849989045,44.96711683063548,42.022262316500246,40.10938102507973,39.73634358088508,35.855564563489956,31.79034804225994,34.865013634476725,29.313616144649657,32.5252194164771,28.25806627966293,23.135208546590807,22.87197828659555,20.316396621482777,17.794780704818837,18.183617238198057,20.57402334795611,23.230405558633404,27.788720489647847,31.437414220487373,35.06996079767982,38.13913036525481,39.788445993154966,43.23828585089449,39.67085093822434,39.33975786623279,34.19427036869651,33.44000874631696,33.02626633976801,32.738404289917916,32.65136922020724,35.382980520532875,37.35153944935308,36.43813564569447,34.15418008816243,31.175339340248357,28.23668562198012,28.407207843321032,26.543102617947874,24.57322318386869,24.13204592372324,22.875573813282973,21.21203175334533,24.02016214803831,23.368056082031437,26.699331083037297,28.740951427669998,31.568794486243913,28.664746930034063,26.72792092407396,31.05577264348264,31.218021534147613,26.06309076794693,29.21259790437055,34.630843757816606,31.52680028914472,30.54100290564348,34.20881260921468,35.54369858088588,32.28881138705235,33.344562412359195,29.98560574975141,35.108857768173664,28.49536170861755,29.854932597453235,33.917517649509115,34.87654201630357,39.28029016031529,38.465264646626984,39.77048365846718,37.699724187939346,39.53290642598487,37.85486714675217,38.69209050758071,36.7022696821446,32.075940428395846,33.65476263865286,33.490220924398216,29.449847621656936,28.112764563116112,28.986051104362932,26.451325653322392,23.787053740297626,22.90009018646304,24.649635535168233,29.058806716903888,31.99968370749757,34.353100059609154,37.89058076346524,42.075210331403994,40.92839525882891,36.24811900752272,39.65229716066847,42.4877497481109,38.55725787568527,36.892377790521756,41.28266301904983,41.447602193684496,37.752689301350834,40.64105959647434,43.40947622222269,41.25474420732051,39.57038671119126,42.11555474507344,38.90028090812035,39.93966782703129,37.93608165479616,38.755594828171986,38.22739895740175,33.54131595696151,33.69387361420549,33.73335629048467,31.68299433487446,28.274762276451167,30.93339234036909,29.708401286229222,25.546899720632002,24.683091022426083,27.45259585858945,25.900631286828617,22.768181568789526,21.370608568592857,21.538005652429543,20.3022244764626,25.049013667567316,23.07005488546454,24.68939114548269,26.06515031876658,22.600039719146427,20.31901571051448,17.983834783140743,17.48150197684461,21.48960051935068,22.002835684875954,23.640685210889636,24.388431137647576,27.658547204369697,32.02744118962268,34.67046208746398,37.05118302344925,32.699051360167104,33.58392749765046,37.89225372542823,36.27529461763306,33.45782636862922,36.90515024251089,40.69550405746993,41.49692923507313,43.57547195131522,44.22176663724672],[34.09019349672711,30.938051874022925,28.670980969780192,25.789319507590044,24.59344880122655,30.758675203802888,30.85686276675933,35.00574861782912,36.13301464629661,35.12632883782691,38.68461753106319,41.556442532218995,37.80946994643429,36.94184825036192,41.54494476079184,41.46579960314381,37.3190939898041,40.12255772044519,39.24101197236586,40.495177086283064,42.161319333554424,43.88263030304731,43.610384177981395,40.964488485994664,38.85492691718733,37.112824596537386,35.495589155554754,34.67324882166556,38.31698085078779,40.23096595092168,45.55467495256926,45.242579768006564,49.775700532090944,51.642395898932435,47.77445649126338,44.428279326234694,43.21064635219496,40.07739756940018,37.25499320427876,39.566073743603454,35.843756413883405,39.63839650453023,42.35187490430762,39.48755508658788,39.136236438907964,35.95658518297067,38.219800479687194,39.87205384698912,35.80394099461203,37.006810013047286,41.37024765815269,41.80364923333279,44.75734203409298,41.532872113257774,47.297965684663446,49.10431896419116,46.10829454278003,47.588144676809925,51.85492358112043,50.76581988899408,48.50691917720429,52.384818609616175,52.470429912893444,53.227568764138574,49.24830084201841,47.027357032986984,45.964655750847825,45.07961554981157,42.915472378551726,43.703632769214586,42.63311867988576,45.601049223105626,47.38993806167378,48.0140479140678,48.6585569762908,53.919322834991526,50.566743887784185,54.480822258901696,51.74370445732815,50.39691240264654,48.79990629911261,45.58377730925148,45.095936589961234,42.60993345005964,38.98612798846961,41.032548081464626,43.17919131155517,46.67113632038553,46.58124653880236,52.0273658207146,50.572025784374645,54.46498554974478,52.5787462415449,51.77865778422493,47.67087121307856,49.7688806763181,45.941285938714586,47.54588751138647,45.59004216377646,47.996927211930235,46.25269970313165,44.66736574173204,43.619125067129595,40.87310188021475,39.51257673731876,35.91403397974634,36.9902327024674,33.33483718333641,31.29775963968549,34.20835401604877,31.493799004814722,30.893877584409626,31.27479586152097,28.680639806325512,31.324991523814777,28.463595137614224,31.27756754987332,28.56332022879998,34.04180082514775,35.81563469576625,33.748975529006685,32.84323478296844,28.14289376515556,27.813396897835368,28.3496692630748,25.17080412004408,27.78638542113143,26.47288712202205,27.081115404501407,30.08646005258173,25.707563291157566,29.158101615417443,27.626914609605716,31.87015395206527,26.348251647485288,25.488386913694903,20.60741884321498,21.221503367449728,20.903949679341284,24.036940602548423,22.86730424210401,26.156706720006774,29.376257788296645,28.330411113475346,31.433214486594416,33.574512624354234,31.172657546416872,33.62541588066034,33.7520583224711,34.748450173372994,36.49886571677715,39.575780595209174,43.36095834100444,45.875970018853074,46.41309803687415,44.73454413545033,41.65837571872542,40.16844929997551,39.602662115271386,36.24248261788785,32.191426298570036,34.96144618416388,29.35339234025629,32.88705764102609,29.077898054586406,23.640730254534354,24.229101587239224,21.87700461701078,19.57647892276902,19.082216279614112,21.732359120329104,23.763897644990674,28.67564787157285,32.31319307735391,35.7732142847398,38.9120803023979,40.06703334703126,43.96361290178386,40.470569545043,40.478546146519314,35.422868592825246,34.65879588271937,34.84949347227992,34.8652539211305,34.365464705830476,37.1203611411934,38.60451418656079,38.01795812772702,35.123786294971985,32.64753640377531,29.855535076866488,30.24205322111996,28.854029317799633,26.956168444722376,26.79980509332636,25.866383360687905,23.704283981763215,26.65120926061856,25.716508851534204,28.570967640388478,30.89207517642957,33.26973176599479,30.010963290140634,28.33340319734506,32.709408166639214,32.26732553624736,26.87248729728592,30.429213038559904,35.71611217099423,31.940566178178543,31.018832414678243,34.8268112327228,35.73318406015783,32.12166470565647,33.48185642003187,30.33901938802617,35.82561224026573,29.59822847416399,31.202091062781975,35.35252371088944,36.90177262769009,41.25242344324882,40.79768759134196,42.152721645129844,40.28797178646781,42.2929063290444,40.502978800873244,41.740533225679684,39.75095085819174,34.83259215491823,36.64411980302609,36.864079966184946,32.656798260202315,31.196542354427315,32.388606155886535,30.05172710174768,27.04656141847439,26.097276566497367,27.314068506320606,31.63258008327446,34.75239351568407,36.79542712874909,40.24539829587089,44.3387870319515,42.93075924275823,38.23974609957136,41.55851269716421,44.14354495534068,39.95555412764011,38.32649424540779,42.535940438849856,42.38731268297464,38.62586257557728,41.83791302024465,44.32852801489293,41.75461416615485,40.38226476808465,43.20840454045843,40.19180698790578,41.597890697285855,39.74493952158672,40.94971987939999,40.152304054820014,35.20856937039117,35.909559875393796,36.0259825037089,33.65921464903499,30.479346057527934,33.66945215974842,32.166693867989736,27.67951503276554,27.404599016484088,30.43542471026748,28.498523530746464,25.087557653487213,22.995155966976753,23.3890066679786,21.31826557888258,26.01327396021615,23.434034221451313,25.396297358451804,26.107505275998914,22.321468528543704,20.613123198344265,18.83648604121511,18.78833149219851,23.082069830041824,22.948190024562873,25.07838667098503,24.994997434024576,28.1022418215963,32.82061446434272,35.57042449150519,37.55710746128594,32.95208176907972,33.89709906393193,38.08219964914132,36.03412433053281,33.042369646931135,36.769737490608385,40.418390938739314,41.050082115562425,43.033607580543055,43.766010833615155],[37.89165629631915,34.81475226869347,32.70434761770798,29.511509369639377,28.419293140232117,34.40334719030544,34.271166015645186,38.432723507086095,39.275964368707676,37.91936165864665,41.352253308714076,44.429820728956564,40.45082215285237,39.32047182516986,43.82628650009367,43.812177217467976,39.434437407372776,41.88872033212821,40.478290185547266,41.84610276355241,43.101751520811,44.697231167870996,44.116118223982575,41.22337171181274,39.49510650007185,37.974036717417725,36.78705920903038,36.3393319484761,40.23275428347161,42.515211077728765,47.5932232955455,47.69025087307392,52.18339812289085,53.76526001483941,49.92799903816558,46.36140004989521,45.47368995450792,41.87417368936901,38.9577391329047,41.10994514335467,37.09057596506469,40.76971410271974,43.33303205372961,40.21345911070578,39.41817108432682,36.113489579965844,38.13121864489834,40.216616992346346,36.44740529349036,37.52180588294464,42.02813210342423,42.69093794583001,45.72005029989075,42.718306029325234,48.63142673963188,50.02127199206682,46.932723948116916,48.81257673852187,52.952479058840176,51.44283967914241,49.32260769765631,53.333070416655104,53.68149876444737,54.04129316739952,50.002476428284794,48.14675947564614,46.99033635628485,46.4682966004863,44.10928842737159,45.225904071281406,43.937083370091614,46.722099149543475,48.72342657664768,49.07344828457545,50.10666843300285,55.22093340261471,51.95195729291018,56.041563111773804,53.34515443254215,51.884613354385934,50.63890135060163,47.35544616885468,47.30536227494872,44.72234669928134,40.966244757910694,43.106438208343285,44.91272200659945,48.72869057013079,48.28792316528785,53.915242833400505,52.33536437562457,56.096864004039276,54.41226411154038,53.878340390664064,49.88875974090931,51.984435457416495,48.24961661056703,50.110502998473386,48.387554011035725,51.11221571598113,49.126595457096144,47.88608665868355,46.528709600555146,44.10747923315386,42.61750046377407,39.276855919159594,40.50787231286714,36.879623334155546,35.07080141986425,37.89705048843819,35.21853538306429,34.25682911735786,34.55171842515934,31.64439849448984,33.89845017760514,30.75118327774882,33.20067142307876,30.059599865420118,35.140127754102096,37.40307518512812,35.346671189531584,34.821579541755064,30.11283377769957,30.247342161945884,31.230584753798862,28.234156871324213,31.368351184158918,29.950437097823084,30.708384552865017,33.472333065813096,29.264503181286923,32.61474354386481,30.700986027575066,34.95611746983953,29.350667495023796,28.542942216968548,23.999949883777767,24.111467734940263,23.39397008593474,26.209213035395727,24.193913218737638,27.024810141502634,30.601900782829183,30.031507146721,33.11550938322574,35.610326645856965,33.41992092943998,36.22632650649176,36.693877485611054,37.86610451666566,39.91830065377587,42.96321964781196,46.89813367690812,49.432691238172836,49.73869866160781,48.013617095992174,44.76240758406557,43.427493769469294,42.520662493941536,39.375652067970506,35.01858628884544,37.338942612743864,31.55276641172431,34.89976777433576,30.999001325593863,25.36016579063464,26.256854451734153,23.426719817325182,21.79023122249809,21.386007919897338,24.326003274550835,26.24882638904703,31.09258060123265,34.829235329144225,38.29117430497958,41.65523030173833,42.69973032204651,46.60411673534073,42.86975373302603,43.054722915460324,37.802472934815775,37.5790045794331,37.57455297066962,37.390608010576464,36.583421398305845,38.989958982897384,40.27758324190407,39.377512008292015,36.24520961596546,33.967523585323605,31.39589775026368,32.280311124573046,30.95422319349681,29.416571473900337,29.54462470853477,28.869711605448096,27.11813177472686,30.259061950023256,29.638157161428964,32.52019828740134,34.96404621820482,37.37500517422415,34.10860795287352,32.548555735527074,36.94120491406632,36.497003546195195,31.13079677262537,34.7066642326022,39.98925808521113,36.155958098750204,35.23668851312672,39.048238902727924,39.90175125518806,36.19942510196647,37.56528406389677,34.46289289125409,39.96489262749258,33.65457887851127,35.38940269358687,39.523087962156424,40.98136992211373,45.240781566462466,44.781572438524925,46.23832254451673,44.336319939278845,46.282823543900456,44.50513667491013,45.56356154125121,43.59603062136813,38.80904045890813,40.463540784237665,40.48545534231692,36.40135486790595,34.970516703101474,35.88408944722133,33.48438487978412,30.74590162773298,29.65206452177367,31.25259115376974,35.41230763003191,38.54810319731811,40.79520909404882,44.19228389250604,48.37164822688836,46.90745675034483,42.26554228646055,45.71346222725179,48.27093731016566,44.05957013435643,42.53586785367226,46.7652500662608,46.59294472117334,42.86150130115519,46.10945851302067,48.58548161716141,45.96588100052797,44.636810104941276,47.47439161073393,44.458193476991475,45.85497251697871,43.97879233311291,45.12154597608737,44.35801524840292,39.4606893260795,40.07199632287622,40.13984259082798,37.82675034962915,34.63406170045187,37.631471059967645,36.11157093508074,31.77165596859941,31.367088431568845,34.170491037932365,32.24301762059749,28.985924269430047,27.08543872132937,27.11890700841241,25.13582917180426,29.903532796019892,27.47773281930863,29.607344262520936,30.265605496720607,26.37643386609415,24.812648302478642,23.021998512429107,23.043645332559638,27.328722562130185,27.12988878764667,29.12478749673177,28.90782262288532,32.178611540525424,36.83810786761585,39.68582967748125,41.51983368643943,36.90850335100514,38.01284058178507,42.141911851407755,39.87226598897382,36.97943640797356,40.82845013947625,44.39516784070461,44.92810558163079,46.82290118215077,47.5244601606391],[39.533268369811175,36.683232874481064,35.035052023332106,32.07996816945145,31.743553410114757,37.63760316661453,37.96107352663385,42.26748761171264,43.044865147603886,42.00392306664751,45.443696616546646,48.56741748894965,44.90706758931917,43.58987955415818,48.273997358916645,48.44654268684619,44.1697326361519,46.752766544180766,45.39349369573038,46.962685718548336,48.221617000879775,49.93869901951011,49.26907953351136,46.34469329497116,44.72139387302029,43.09111858597423,41.9808183042462,41.39627488099026,45.23166165347149,47.42123366415167,52.40015831365429,52.5021218396132,56.97602334020589,58.72146885395531,54.95146212013612,51.43233113572389,50.538479247048045,47.09585929158477,44.242080581763176,46.49192391655894,42.46828054217465,46.07275470329631,48.69232975954476,45.57339062448972,44.69405665829585,41.359383528804514,43.334025094760996,45.54175909846389,41.809394201606175,42.853376866992626,47.383156744141694,48.03883206673341,51.09629315349869,48.12462309258676,54.030074329320605,55.416839444496176,52.31771064316109,54.20048514962132,58.35024596639508,56.80507546304101,54.65597803740118,58.62410439886635,58.93245188642052,59.21765600036465,55.22507049608001,53.3847433716605,52.02852218591045,51.45081912166114,48.90132976994257,49.86081220343853,48.45388708438048,51.093690481981206,53.308617070307946,53.831307707914284,54.98227610008059,60.21982661105088,57.091416868669754,61.19254260336647,58.57790431688255,57.20480825925549,55.93641923835143,52.70197711374234,52.535750456217265,49.98870772390604,46.272214031623,48.35925362453161,50.208285431465995,53.93597184261272,53.483275363191645,59.03750407671597,57.35341233923693,61.04105016941199,59.23667293255474,58.62784861255028,54.52484111954882,56.44836649518073,52.59416038264835,54.639066205371826,52.796716086509235,55.36016839615161,53.75002430580536,52.360157801810786,51.316992630521995,48.69454157612372,47.3612386193584,43.78476436659357,44.82074471608276,41.11900589229377,39.04650392239346,42.006544128816785,39.20210968482067,38.65930931674039,38.78937204905827,36.16814103231211,38.44323073245301,35.41361454705433,38.01817881652523,34.932299763242334,39.99747614549635,42.179584434189664,39.92143158309982,39.26546594432445,34.503963944503916,34.55415874428411,35.313195935412146,32.58493885892706,35.27180766561453,34.228936315752485,34.904757465628904,37.953646624406055,33.49204968601496,36.80205544638435,35.24355492290371,39.607326397436424,34.11512907254368,33.31525318451585,28.4781170193005,28.913149333981067,28.227074341267315,31.260746298933938,29.309080666983917,32.27669894277785,35.77990826265554,35.18205719070189,38.36730103289475,40.71091137838091,38.40341467129786,41.031704720733856,41.36507220711976,42.22794336892713,44.10920418312379,46.952085051691625,50.87887330264366,53.0772051432277,53.6798840381458,52.21752822562181,49.11456295853479,47.821738433066905,47.174152145634665,44.01642227628757,39.910520996092245,42.427956419423104,36.71723474924893,40.173304102457976,36.30234783741444,30.700473502565135,31.451223478496804,28.62069467441665,26.795694656246443,26.52898485422971,29.347844876232696,31.349127259103422,36.23543634634902,39.93507974278591,43.3940243129953,46.6418661188829,47.683747522635414,51.647859009268934,48.03247817729984,48.1323820223632,42.94744517633914,42.45132487939333,42.45772399010114,42.26311875447481,41.67851815621267,44.16647762531755,45.592334280860804,44.62741385159183,41.61143976203356,39.23800445173962,36.60718933669693,37.368150835223915,35.850547995427924,34.17490536411694,34.02861267184884,32.96256107579498,31.17366696553304,33.97125102040676,32.93822328564065,36.05392233168619,37.952875675454216,40.53309740875979,37.38477053909628,35.24497030657714,39.46336548048591,39.16711734502158,33.47805287498118,36.696842947664564,42.13607466313202,38.23618197483761,36.86425026565145,40.52332036391909,41.65520894617209,37.65203022665808,38.49988445989548,35.44061253744078,40.79832463022731,34.17976528151404,36.50295963952721,40.52317325361156,41.928088417913294,45.74594421157883,45.6136841864525,47.681186141317795,46.12428247137124,48.36139551441478,47.04939384336343,48.00038044996742,45.57181079573569,41.13841400488285,43.145182633065644,42.75031728410676,38.52295657566574,37.602127157828406,38.71937808285591,35.659464581766194,32.90767326829161,32.788087947580046,34.09358807703601,38.85697989751111,41.75800492512314,43.741575526468125,47.41648981463995,51.3860937159398,50.29758065280467,45.5271187104207,48.52732928884584,51.335651232619725,47.27088083844016,45.302664564181676,49.395120560638304,49.27975029026853,45.32463232730243,48.28659641706449,50.748248941134634,48.073401146253346,46.40417733040838,49.13258598776824,46.11109626706421,47.74218329171691,46.259507520412434,47.20110096726576,45.963413912138,41.34141988711703,42.17842564320523,41.698656540634694,39.27129639033659,36.58880681460598,39.23881502932103,37.08801737761723,33.097434319444254,33.13813778444118,35.29087590618857,32.83107970798539,29.81603315065922,28.0862404271732,27.19732810079832,25.17673842107714,29.982243722436085,28.152857767527525,30.96573077780074,31.973115828611355,27.6395710096234,26.425228904989158,24.35164610292384,25.1299833837815,29.59839681936474,30.136700284320437,32.55342706459344,32.596251369818596,35.323505226280155,40.26838461145034,42.82493021894092,44.93314918595241,40.24738153586744,40.79697218671038,44.99715276883317,43.08931971541473,39.64781670795506,43.186291937785406,46.89299984850797,47.558628733289005,49.546610246913936,50.41546375544573],[44.05222623175007,41.18269379723322,39.43896260545714,36.25880512847496,35.63908588061192,41.47681535335031,41.458888537025615,45.69219789506799,46.322018163904616,44.88655213346318,48.212250342224614,51.45473023466586,47.472241262109385,46.05699003206345,50.547054975398034,50.669407726998045,46.1742696962615,48.36437866144587,46.50189193593134,48.02873191984239,48.868925985606275,50.343905407369064,49.40804257694835,46.26018386787113,45.00292623418834,43.72880390295985,42.98951870325909,42.84851070635575,46.89573049775553,49.428788988155006,54.24817514685277,54.676315726223706,59.119301182934194,60.51617755921939,56.734710321251356,53.01728390187644,52.391084994163066,48.46692841821689,45.50026577848817,47.429562882741244,43.23315934601564,46.780959376728234,49.14792249014821,45.79553150380708,44.52010086945941,41.143959690155555,42.78432844770712,45.32139220780658,41.95510875585589,42.76242138586187,47.362036968729655,48.20110908022549,51.318428446564575,48.659442191733405,54.64215920587983,55.588418505418495,52.50236546555955,54.81137045424683,58.76557994637005,56.80863067174733,54.91461282538647,59.04693332700976,59.6613811605566,59.593290312059786,55.535536023857446,54.079542749318925,52.79280992731147,52.608865059580516,50.01042066947948,51.35999210428825,49.81629543539894,52.33208690164922,54.628949792211294,54.784174748312694,56.241859747510546,61.22361332988272,58.1001389191453,62.33472528304431,59.70112351440113,58.13769685900159,57.196124759697874,53.84257470653324,54.14357499653436,51.419119344950055,47.610339406308746,49.881818329372194,51.42714464068688,55.4866771738169,54.76202036613852,60.50811807550386,58.79994208631908,62.39580347976911,60.86129359970743,60.534274537634985,56.614237406517525,58.618473495668205,54.920600279018615,57.06726300067015,55.472539518043526,58.341526714657945,56.34293317329594,55.25613452434616,53.803734881863924,51.493781824752816,49.88850382540868,46.66251753739584,47.81229303605627,44.11910757173324,42.39507560699156,45.2986920623599,42.65045939456197,41.700874539434956,41.91327640679631,38.95519002461581,40.95074788612223,37.67176751312936,39.877082069814925,36.44615234118926,41.091019524910784,43.73109118362963,41.615761040551256,41.358315462175185,36.67097443249457,37.11709056008382,38.29707833656241,35.55896920791127,38.7615636551793,37.41978276087302,38.15238635000172,40.82767862151248,36.534449179383714,39.67407183968341,37.67562500122546,42.05015070365973,36.53521755804587,35.903023830769285,31.443084014284537,31.49460383340654,30.592691399084462,33.22765077014421,30.644140914719824,33.0363173650109,36.848297423688656,36.67869741814567,39.71183999688224,42.43581949862323,40.3970119544152,43.373363674319265,44.00724352433721,45.17782290740667,47.31961297461801,50.26529817290426,54.26681498813948,56.655323059140194,56.97093579584764,55.33392111312187,52.04224997932588,50.808671907939306,49.79237545579097,46.75539219860375,42.301452986388796,44.3787374829327,38.5323429080447,41.68937748426278,37.67766076193473,32.02493035269793,32.938012529235515,29.71076626922633,28.526776941211995,28.43219803435582,31.44129346418359,33.401343810324136,38.11152087335041,41.88785300697623,45.359596649399926,48.82798001802524,49.851612228604615,53.70020539077842,49.822312555037705,50.054345987047235,44.6856236817136,44.77685993749083,44.48646317808571,44.05111941846558,43.22011877231351,45.29081639148223,46.568336767164574,45.21678300731464,42.053672485157385,39.83442910690776,37.45082022912425,38.71676665047088,37.24207022223178,35.95810080905496,36.10498264055315,35.341524743206435,34.02113590752749,37.056124529612376,36.475008270600256,39.61705799087514,41.74648307841119,44.385318075099654,41.25344929262701,39.354617111350805,43.637924384915365,43.40129842057685,37.871372917383304,41.15894572794126,46.57249870058497,42.75886678868693,41.52165584279012,45.20785272263864,46.28321575641148,42.35274389154638,43.31884042250749,40.249918842347356,45.584781662017015,38.93522300114877,41.13616599304307,45.15324379933072,46.36634776531466,50.23252243853582,49.91559266354551,51.884787944329915,50.15326833667713,52.20982333297957,50.8040034324087,51.52752129451347,49.255675582069884,44.91921885405524,46.619907257284936,46.08083908354845,42.0713467719399,41.05718351625892,41.76886068996691,38.831119678002885,36.43032399579485,35.90198858411117,37.72927472552147,42.16740471308179,45.111151807557576,47.42281287503671,50.977435905117396,55.10481545683141,53.90383358685532,49.223117989646866,52.49637564278355,55.251316995836,51.16928088454234,49.42725159620882,53.618513166068645,53.52333902875274,49.670517012612876,52.69665942166378,55.20325987856126,52.580238395030925,50.99643612264812,53.715103571105196,50.65656517909621,52.13646525370325,50.482585343092666,51.3483887440659,50.34050541448255,45.73201649550607,46.309767015545674,45.93529614821464,43.65948617491954,40.77047962892193,43.234811788790324,41.32777725765102,37.44755140329692,37.12178469756892,39.193456305975516,36.99557245078408,34.13241888312245,32.656932181739364,31.71433544254776,29.9599554598836,34.77612008226052,33.00939042737727,35.66585946646632,36.62594551283244,32.415343312715216,31.095367382160273,29.02086832202463,29.524161673987454,33.87001154824475,34.21144140444062,36.3060621264651,36.283283858521415,39.36588640421002,44.1207765796274,46.845039636847105,48.81030759674479,44.16804208751281,45.03365368893116,49.19093630099087,47.02802649602325,43.8802654208095,47.583203396750584,51.186374310118985,51.71948000127961,53.58772158113657,54.33647734219725],[43.15281572678867,40.52260371584182,39.268997440124586,36.305024255703295,36.47341255321958,42.16485772555462,42.65064280802997,47.0384523639534,47.614119631184046,46.60965451681493,49.9720122522936,53.219204989552466,49.67716747555338,48.107347624835164,52.84448038025299,53.18206354631814,48.88417034701999,51.3812775826637,49.823966911149164,51.59213862856161,52.662787407412104,54.42596256028514,53.54720877643424,50.50774795966607,49.14538123403087,47.52704409428018,46.670566937899636,46.15111119645942,50.04049788347758,52.3320708089001,57.09708976860629,57.411152863009,61.84160843430478,63.56226113690927,59.87110850376787,56.28684055209234,55.55989729263759,52.02410689002629,49.192523568867756,51.47721700475344,47.31337411482322,50.7688948714985,53.3741469370102,50.16874830505501,49.04114449406751,45.68185239412251,47.52217011851999,49.97682382808331,46.43578803483744,47.44072554794773,52.01898170084687,52.78628315458047,55.86751390084216,52.99197430340631,58.949540739870585,60.135220526244616,56.97026334043139,59.01437299886341,63.11488831885558,61.354865510713225,59.221061642132824,63.18955619151093,63.574992283949676,63.61342762519552,59.65305943164097,57.99078939202432,56.42820636089336,55.97295777697439,53.200805786419664,54.19147658370995,52.60289419428668,55.03570389935625,57.4963972182784,58.01798359831419,59.43858522291957,64.68857737062851,61.722085192710416,65.9070427631264,63.39161803938232,62.05242274361745,60.94314816438989,57.74220845666871,57.71578762838098,55.17308930981235,51.40776169806238,53.46677799307233,55.16727368068404,58.97081337130443,58.325814078044125,63.89622462741574,62.06509536446304,65.61975502672159,63.82454074958125,63.29347928014309,59.17706315593446,60.965882010283075,57.085342405111454,59.38936944976157,57.58772612577316,60.20418066355614,58.74277973343045,57.447173289588996,56.47295413654549,53.89977727243499,52.65188876715807,49.039419140383615,50.064417146271786,46.35567334638409,44.205092799126376,47.16930882994394,44.27809008616138,43.80984380988053,43.764771178122,41.18733257621326,43.27279878450622,40.20758542098943,42.73558516134323,39.526727805422574,44.37151967788266,46.69012626564809,44.312627663228284,43.745233313027406,38.98690055480607,39.18791533044133,40.00548773582236,37.55401662695546,40.208945938810125,39.36945837409216,40.09657850099779,43.23235716235026,38.74298350321955,42.02488180121905,40.51743792207309,44.9078421873952,39.43313942181493,38.60142900354233,33.75468625214498,34.12601061823423,33.27418900976673,36.2991783303905,34.05966625294758,36.92024152970898,40.47627958459817,40.06264021856067,43.3045444706616,45.67830569342507,43.3908310586242,46.04967612622529,46.46347714397309,47.19155052456087,49.119358160230696,51.78933740650186,55.79573440703833,57.754648810387216,58.427684818313544,57.132344531956825,54.042726061052036,52.87856398316041,52.229596938720256,49.2026118695484,45.13262013983239,47.556211675365645,41.837056805021874,45.29405658141758,41.45627946905306,35.808667992136925,36.651462919010065,33.69634467214342,32.02466511790662,31.793331931780266,34.64640412597117,36.59658706494803,41.48998783068495,45.195428459001334,48.63099288281186,51.8990779837859,52.85170364092992,56.88683833391937,53.25682824916761,53.40668137399681,48.20352705879773,47.75747399618064,47.74611802716763,47.49588541849641,46.890919542777056,49.28274213157981,50.663285757676874,49.571303456439665,46.45975028554165,44.17846383434038,41.62789226984921,42.53558813484494,40.97725894833066,39.36679420818806,39.201945587469034,38.05325831386904,36.356239599098274,39.04463478959042,37.89266872152847,41.08613648422847,42.74970516921798,45.383860909250025,42.28554918858745,39.910332180281806,44.009576276252595,43.745949369119245,37.92221509333626,40.94735308122782,46.411964289010726,42.42737470386049,40.815964276366635,44.35441141360586,45.57909450386298,41.377335401136854,41.92956714365831,38.98200284692571,44.208863798754116,37.515886413975274,40.22493827312222,44.124593985518494,45.4992815961972,48.9499293504666,49.05422129101639,51.53161224447188,50.201773435035435,52.59004228736808,51.55876214944759,52.403699257574004,49.72317115492671,45.55728660973585,47.71049351234758,47.033265581411804,42.79526362395997,42.16904757994775,43.31060163749762,39.90321798315829,37.249521441192684,37.5954938932555,38.82997764358443,43.8237536551963,46.60442468586094,48.483113033872726,52.274335177356335,56.135287705697706,55.22287488038309,50.41227541577394,53.18372062533897,56.09315002981133,52.098817609212695,49.92607216028262,53.90889285144185,53.79020479354855,49.72937208298865,52.54659144108145,54.95318289195078,52.202979384949444,50.38659463455597,53.05896035751461,50.076262438497494,51.86796648371277,50.634962246657906,51.460961167388774,49.93578589425635,45.51237689640466,46.48799984064179,45.677434294141484,43.20155913936362,40.85818002222577,43.253186344849034,40.72763243303579,37.027396250173084,37.31859665031111,39.0005574362066,36.24548744524186,33.47260504456073,31.893188583082118,30.38527795494305,28.373948346865745,33.06723169788269,31.64854857666045,34.874408437977785,35.98206349263291,31.427188835132366,30.53272278592302,28.40439563910227,29.60460462624853,34.107339216292594,34.94616270586487,37.551159725988086,37.61732477454889,40.08605358480236,45.164067763620245,47.590766154183854,49.75387251605,45.02383729328844,45.32365641610166,49.50436906775429,47.68815366544684,43.98284913570862,47.38284342045037,51.11100360122626,51.80145367495827,53.77573735934267,54.758371540343376],[42.98557451012675,40.55972201077383,39.74463500745231,36.24642806120111,36.964892533090904,42.15917155309139,42.58371503775273,47.06879809475459,47.14829936028226,46.013937935867666,49.19684248177402,52.681568206457776,49.27840152090698,47.255618195166726,52.03552198959371,52.66822485530758,48.36378435653781,50.761660487658006,49.03284861239379,51.204716360753864,52.14061953786201,54.194191209063064,53.08759939476978,50.051867500961464,48.91607920862333,47.0452696474508,46.50134177684252,45.88399810240267,49.78402377730356,52.211094492317024,56.51982119119911,57.24588726667276,61.55599792811678,63.269240032346325,59.78434204398239,56.126704456748506,55.74840471368759,52.191181273999725,49.532368272087346,52.26234700378809,47.81815145417951,50.8226206342845,53.642894878172044,50.51399033517799,49.21357302413512,45.91374687404581,47.88853291120028,50.52197547669173,47.09805260907091,48.4689664259089,53.028654097247234,54.04959466963354,56.94814150075082,53.87481152741159,59.890235698783705,60.9600815365558,57.502417587677535,59.47772419505456,63.659675239453165,61.78294466555671,59.32656079829463,63.08016282037426,63.37300665091163,63.13640490925318,59.33137605073261,57.76183964238305,55.71462404479253,55.28654382657278,52.153879951120096,53.061656057177174,51.242690393769344,53.405463666299674,56.17278082326149,56.82087829028567,58.561134715647306,63.914609724161174,61.30235448689652,65.57727458387744,63.33378961041822,62.24945462431426,61.391035199451615,58.46998274638752,58.58664407424554,56.333742171257185,52.416452485577466,54.1273792793482,55.519469225181254,59.3206185639424,58.27436737172336,63.755154592522054,61.603905808293696,64.90458636000032,63.05411610695394,62.61950556566036,58.47980954306885,60.02692211084087,56.132955409159216,58.892794467586604,57.22894472906024,60.07515580504109,58.81823208492552,57.918376521036826,57.02474047779974,54.780740713238096,53.99210965432243,50.30777606988513,51.71502152710954,48.20899011822307,45.85357261800543,48.511825293656685,45.28441069271032,44.59614744398371,44.051784649812774,41.426847364901164,43.01431328096737,39.88732827869767,42.289074016125724,38.96796482194331,43.517353254622925,45.89599518535592,43.30353104050027,42.83901586163789,38.12785095478852,38.60103636974227,39.62782298183897,37.75466317136951,40.69877214846075,40.23647010832676,41.38323653209417,44.75531882839495,40.62354635718025,44.23200207161591,42.70028660615378,46.8279319706709,41.166941440963846,39.83208675489483,35.1767140359167,34.960906040576226,33.58938259540555,36.634734245848435,33.982905305666335,36.95098439418348,40.34080519068438,40.129732465187146,43.58409217882155,45.815276348620124,43.51246424129565,46.19730155613803,46.869144264218974,47.340922058323656,49.57064867769076,51.8688763473545,56.150611432596435,57.74957905073583,58.29255945250422,57.25079158562891,54.0886968656047,53.306046378822465,52.495349516041344,49.94995420514583,45.952776047832124,48.08646261906553,42.44368173330135,46.083101349651116,42.67565593452655,36.92993463815837,38.3429419049011,35.605205056741724,34.06218921844108,33.273536877829514,36.22094858212871,37.70250311054701,42.746238460666504,46.38240810872545,49.63378489206286,52.91644023149244,53.447961283001916,57.80934633388929,54.28206786400235,54.71008461179927,49.6298330639702,49.17707303860286,49.642841123442885,49.642252717855634,48.71302929820767,51.13499915321466,52.114787111677195,51.332015799457764,47.788365408056855,45.921121957418386,43.49944063802893,44.51375095089547,43.31993587654753,41.74353467769068,41.7747090481854,40.865430230447316,38.80967300260109,41.61513856087968,40.30656326551663,43.12437123274398,45.03741176647485,47.2970158087464,43.950213066016104,41.848435534866475,45.96286155927674,45.21748910712108,39.33828823066376,42.654901301133584,47.92551114640777,43.46125920980379,41.97076051123254,45.57187471741961,46.38600370012482,41.987885633946476,42.82441278211147,40.126589106331274,45.575994201344635,39.362906924267,42.150359541629065,46.083771976550324,47.94881015300945,51.39119641755722,51.764307108852,54.179531922963534,52.97688699003197,55.46424020724684,54.27414281233497,55.470640852692206,52.85905382061572,48.393911876094094,50.68833071888882,50.390281448739785,46.02142176225503,45.21297696620655,46.59371940165277,43.43119100455987,40.48885844352456,40.633209304646485,41.52190311215322,46.377393930861906,49.32303353716858,50.98291441918302,54.667545848174,58.46715719333911,57.30387972588019,52.51398358166509,55.248121881440746,57.91149475147615,53.7148083415192,51.62833030748957,55.44085163587693,55.05257064126384,50.99935105814554,54.0859295428128,56.231594351407665,53.15095153936994,51.65673991489149,54.55469156305061,51.77303236160744,53.835330026186355,52.691263944193366,53.858344186538154,52.17581822422657,47.53724250085367,48.919419887180936,48.25318533790742,45.55356085260726,43.33018817683008,46.189538323683855,43.55864890927873,39.56974035815203,40.22435755898152,42.23734921884806,39.296986864024106,36.280588151106436,34.182181198321835,33.03598237518358,30.453992902686704,34.96045001158535,33.0420518909889,36.37266920997988,36.90313682979963,32.28501361512616,31.841619451896257,30.206751310520744,31.57904824917136,36.16099308687463,36.46941150082439,39.328970683971825,38.79670204573557,41.12152887346313,46.35626193428511,48.85324589737398,50.647736740040465,45.795376527484656,46.169975432874395,50.17051381584403,48.00438377269447,44.25675253528256,47.8375905364807,51.363387763110346,51.89331798328404,53.744291416628606,54.793592079359776],[39.48534760953066,37.221555364626035,36.73578504242786,33.187993797128755,34.42778802025174,39.333453207997394,39.998049006101354,44.54469054554149,44.50071486299696,43.623829259326065,46.785850215522764,50.2640750383681,47.19969656147311,45.06054025043421,49.979682555751616,50.77700266041122,46.666534099889475,49.29847481582596,47.88761764912926,50.2415089209955,51.425022207435234,53.76749710390629,52.75979697274027,49.901652958749345,48.596770385764046,46.389649544761944,45.70444957032318,44.72917505980337,48.442848978071105,50.65479516837651,54.86378512627408,55.51527384976555,59.777869004394866,61.74160057037121,58.36595483008406,54.844792846611895,54.41681989371475,51.22548023439623,48.74284671328493,51.85900612891304,47.46523693719839,50.30361442294827,53.37510924108722,50.46921726464783,49.39418161018429,46.2039531976141,48.44333676228799,50.86391056360723,47.27660593348182,48.948429928086924,53.410446275131164,54.395724121950806,57.1551888617435,53.802885599553434,59.75418131925,61.077633872934776,57.520797752130065,59.156439569679826,63.49352619885637,61.872281334379814,59.11800188273029,62.65354386755454,62.67785494862291,62.59779794641801,58.92230627325293,57.10897146913676,54.825784312572566,54.111782862282126,50.887722941951296,51.45745740045274,49.65522838131798,51.7947472241822,54.61205281575833,55.590061742957914,57.21914962423846,62.78547466645965,60.32248378091643,64.51539103601328,62.40477917142027,61.566183063936016,60.57131977342089,57.867303174238856,57.726159107834924,55.711117086717174,51.80773076729609,53.24554896853605,54.721905136996476,58.26273962373475,57.254146883391385,62.53228889313989,60.27607605507232,63.52829589057265,61.456899903221746,60.84882563648494,56.578635294028764,57.95064958947455,53.948457893234405,56.81477536394094,55.029656562848736,57.727734290088925,56.86273465650761,55.91291031387547,55.36571762083904,53.05172168201917,52.66574589460509,48.73531727450954,50.21514625220179,46.82695138959758,44.15908582496248,46.68765257819828,43.22519426797122,42.74884468866789,41.91474284978014,39.55995408098992,41.10627401149352,38.175242656133236,40.79219026877286,37.71667918834179,42.411789779188105,44.443715477369224,41.67057350393356,40.95031631294407,36.255469919029515,36.544786931731046,37.33309577529099,35.78546706327963,38.435693421540755,38.381772951288184,39.66523521906716,43.365936029134986,39.337302670577216,43.152630696271906,41.936108205891344,45.88847051596169,40.242625946839496,38.58790676478804,33.84518132749768,33.631139234529705,32.195640554756814,35.48431395470776,33.149490051176606,36.529832082489094,39.58601322964495,39.15226130900015,42.76487889326746,44.63655631069885,42.15557915645108,44.56342631905025,45.120768265473245,45.23832981977783,47.387807305440354,49.41729182228521,53.73554571987266,55.013979064745584,55.71863169141621,54.92945333110369,51.89900412704315,51.24877071275828,50.648283977552175,48.25100257466026,44.58765097707665,46.89014950555081,41.443943201646746,45.32960796753697,42.23625472899726,36.56910289712308,38.08759666244158,35.75507014362269,33.87492432544617,32.74892623656303,35.54292126928198,36.81821779542688,41.97606282058872,45.48477817397045,48.614013989204615,51.71110391332372,52.071580107223426,56.61622483524292,53.35706468588295,53.800582688211534,48.961526164230264,48.0827575276768,48.958372974795985,49.23245675444462,48.379700468453905,51.06337792912969,51.983718395852165,51.57314983989699,47.95212213271746,46.154123988276304,43.63916413617381,44.38602776332622,43.319711088925615,41.51788511083665,41.43535140793208,40.434586110635856,37.940200928016026,40.58422143654228,38.90733435022115,41.48669235061406,43.31383528469927,45.32951798972818,41.90170971291891,39.775904883343806,43.786305488546525,42.7776802333604,36.82928939461363,40.181551753721514,45.31320392280623,40.596418854694264,39.07026037188471,42.63741030757209,43.28726391108558,38.763141458167965,39.6380978198186,37.11359292013477,42.62149784292303,36.74909338660968,39.640611349855845,43.543448918146474,45.764455119255494,49.141128322018844,49.76341323337618,52.19495611830735,51.19066165890943,53.833898928863945,52.65602861460359,54.16088427365637,51.48747508617075,46.87131387411481,49.41973934233299,49.39582156408283,44.87051419451522,44.06161436729911,45.79348792755669,42.702145477323256,39.44830852238408,39.79279207158296,40.150671386054185,45.10295560823734,48.05009384782126,49.360094031101184,53.0464731621659,56.6667264864442,55.48729484107475,50.68715236017666,53.17535885809218,55.74415159096371,51.507916410510674,49.30983142499766,52.93350359478647,52.40764297549195,48.31138314924686,51.447992455590025,53.4186856748553,50.165172711732616,48.768168606296655,51.75714114468786,49.12244018456687,51.4103918218891,50.447832816892216,51.81457724293918,49.90407858328889,45.206137274233335,46.955646647514904,46.282336223212326,43.39642460234313,41.421344893324346,44.581256847310236,41.761833402886495,37.62664686285386,38.71087422967861,40.88844601440833,37.71464638106563,34.5407385101039,32.05642781970914,31.125517375767757,28.109547560966252,32.39825203176564,30.229497247937026,33.69714244106718,33.96243752029257,29.286146337256053,29.195978996222557,27.86214832404508,29.532094650197177,34.12288078810592,34.323725818329784,37.498406461099854,36.73631379821611,38.678261541111254,44.06823191424571,46.443071514098634,48.165660981978505,43.2590401164546,43.42103568073055,47.32989266006963,45.20427704120752,41.23767115566444,44.740153336267156,48.201839077691886,48.71776924963365,50.56376662441844,51.69604286988339],[40.02644247359257,38.05138220394151,38.05469108955493,34.31352015848237,36.152371884790675,40.5686822231111,41.34846400757207,45.93023846320297,45.537459793506855,44.72841423223578,47.73154655470845,51.32558707823886,48.53486954288957,46.07402591200714,51.032823251810065,52.08440752231183,48.08110268092666,50.70003779791128,49.27790479870336,51.93094136971244,53.07117896416239,55.65011726372351,54.51454734668809,51.70855063136313,50.543008412908755,48.122717125581076,47.61641340063336,46.49930885456059,50.12734112417552,52.33315368598242,56.18494635795726,57.065796159159646,61.20885982033694,63.24575696295837,60.05644892256005,56.556523651037615,56.325970911658096,53.253974915549314,50.93824556390598,54.37318580607994,49.861139439850376,52.37569898221454,55.60495552746395,52.80388428818116,51.659632564424975,48.55162720047736,50.88103826181219,53.3649828227834,49.85806611205984,51.771279884756986,56.17465136111108,57.28193510148016,59.915644871487665,56.42670356777118,62.369760956247354,63.65976204417426,59.93435579410948,61.463370978060475,65.85405336688773,64.21071006382685,61.2232793677231,64.56178311390778,64.46977359608834,64.23696464528382,60.7156983420671,58.925853655765586,56.27666835348304,55.51371605738316,52.03620500708779,52.43961119087546,50.486943750109525,52.38616909689502,55.437730720194025,56.59835862196558,58.41943818757729,64.08463207428797,61.91608777495831,66.12335023172069,64.23344407787617,63.61859173596803,62.7425254822105,60.267474151933534,60.14263472425693,58.34991608116133,54.393220489919514,55.56449544366049,56.878516686985925,60.3244526858897,59.09261600249026,64.22510993008417,61.74483302069916,64.79302107613518,62.62453925187335,62.0247143921181,57.71747234609992,58.84571381195697,54.816594480846625,58.01011411250594,56.26893090460371,59.01161512595063,58.45442054604526,57.702364462022736,57.35080159663702,55.186571660833714,55.17483639719538,51.142284898433815,52.79479755784837,49.55176765844107,46.68628666172698,49.02055573415189,45.3357447187742,44.87436055064143,43.66834002182945,41.43999263768345,42.66549531897597,39.81290726689118,42.390965058884106,39.362053573774965,43.83561172257624,45.78281844048587,42.83405711226853,42.10219278627177,37.51359097521445,37.903205510094175,38.70023585850466,37.65120593081697,40.26328464201136,40.58862301343472,42.09365098220344,45.99555241301032,42.17359104638617,46.14512125655002,45.04824884036155,48.81955653670273,43.15416505951339,41.20024764510124,36.559332636703495,36.102382242982934,34.40996259190496,37.73100103979052,35.28468129446791,38.76344530802194,41.604179604216625,41.24311586668457,44.976601661249056,46.64698207486646,44.12860721581679,46.42762187767414,47.07598960576709,46.90032271823785,49.1457668296751,50.823877424447595,55.27150637168469,56.16032658303145,56.889590881395435,56.384074546583875,53.40212288781157,53.0248061256019,52.43755842874631,50.371914920072804,46.90634318179176,49.09502104657675,43.8019677405013,47.81321980658504,45.03977662480278,39.40027464306216,41.183522790701915,39.04157173427941,37.16476479320896,35.757102656809565,38.513617103663236,39.51134575584767,44.71627897861247,48.126097238149555,51.10392649646696,54.12479000563004,54.20941225352986,58.95838506190761,55.85413787957814,56.432542202477805,51.75404053137901,50.74482218359785,51.94379268250756,52.391896122482315,51.43436852431945,54.17547248412658,54.89488103889583,54.695614884315496,50.858064888975825,49.29386938168737,46.8373566040585,47.583874817954346,46.69126134706119,44.85765765733553,44.80791655455425,43.846943384169805,41.12347243557932,43.7067633254215,41.826029594152466,44.17662748818995,45.98184388886996,47.75726998658322,44.24872334085985,42.17395270893386,46.06886756886961,44.78257377996226,38.8208909489176,42.19481519874787,47.137495808187154,42.14369367792208,40.59490076407732,44.081748417680025,44.50678598243091,39.83599899839975,40.733734568171045,38.4762117059113,43.97332664723755,38.50834501042581,41.559681319744215,45.372547683819136,47.90274967128458,51.094535281248106,51.99892660907449,54.53094854146158,53.7366470608246,56.5121609860744,55.373291366812374,57.08954397947985,54.35264847054282,49.67969480142893,52.40379651277203,52.534988218886724,47.92963157323249,47.14611054053955,49.083809657766494,46.02130474289822,42.607027846853384,43.07886400143776,43.10783627663872,48.07220520270575,51.0273396953051,52.0848368351872,55.74351255537279,59.216944117451774,57.99137782991271,53.21259921989299,55.501041895306614,57.94721909704337,53.66345526853371,51.408272394652506,54.818621158302534,54.12438492858947,50.01429749924039,53.20838078579166,54.95849605151023,51.48927024973477,50.23732171204462,53.314482556247555,50.863726082163666,53.392511277111886,52.63054413009258,54.165966719100375,52.0201270292631,47.319990458405705,49.40474611693376,48.68435962741979,45.64937426300379,43.946097286760136,47.28642204581359,44.263358371404195,40.1024164444278,41.54392236703029,43.73700292692014,40.351147390447494,37.14784567486524,34.41690717370153,33.52466890710058,30.204560379202924,34.19206002000622,31.910972340477045,35.53762675064926,35.48168239782061,30.790834523235347,31.135607483364286,30.126855105035425,32.056579531451625,36.60750748372717,36.65134156662854,40.050481856879806,38.9840259165178,40.61141257764399,46.10360257626175,48.393987312406914,49.92879135646872,44.98744380780676,45.011502025893364,48.75190967349346,46.54047468591393,42.42526127759524,45.88087820171191,49.19089877180425,49.629054724633015,51.38700880141294,52.618631970025326],[36.425458067366364,34.62615712668177,34.975787364931136,30.9263969941934,33.25025869304834,37.13700787183715,37.9710824660404,42.55457358900696,41.86363846425716,41.15775037870095,44.03806363410235,47.679320761850654,45.189152898485546,42.516431745186175,47.526738761492226,48.78170486148941,44.968169377087406,47.70020936379618,46.50868940565406,49.38999751706383,50.69222181130303,53.57064910123498,52.48312495790065,49.87569403069833,48.625372423695715,45.873842931720766,45.34048972756171,43.91603755539434,47.34545603574037,49.4068581950127,52.98995733477612,53.94615817550807,57.976264786026185,60.17352094130453,57.160751979277734,53.77466106315724,53.62934162383516,50.86783796400027,48.783742378869974,52.64279563453624,48.136984671901786,50.33460943328183,53.806090176726165,51.258508353598614,50.28870585140628,47.346687222321215,49.92664927181117,52.22143195030364,48.651274932708056,50.92387500570106,55.17373277207886,56.318947798047475,58.74258330949509,54.98125940599836,60.82840136085219,62.28539476367552,58.41634621574714,59.61347221444416,64.12268061691185,62.686380541459066,59.369448652293144,62.427722112235585,62.07989450448718,61.917672062933,58.5786624055472,56.61455806433392,53.66574612030582,52.67424968021452,49.06841670362613,49.168672704501276,47.19612871981011,49.003009866817614,52.128922654623366,53.582770507103355,55.366912890765754,61.18824368569199,59.24903614504411,63.37978531158798,61.691039475823786,61.36082789996302,60.46394841112503,58.28452032835851,58.02066904323786,56.54251667838442,52.58263386947499,53.39260007876636,54.64468305186625,57.84940437043371,56.5247326340044,61.42373593834866,58.785917206782614,61.70349249976875,59.36338221033584,58.66597752049725,54.29209756739767,55.21446763146619,51.13900393638051,54.527030518474085,52.77459390369923,55.49943505868909,55.2647749857791,54.66713063338761,54.56490669296148,52.540623987949026,53.0028706569941,48.84696131756617,50.73360798289095,47.7278685510274,44.63518207007757,46.67237803731552,42.73956679874849,42.27339582137569,40.66776645326152,38.626622484202095,39.58336869167367,36.90596885869413,39.5486627060531,36.74538489265624,41.169819536414245,42.80970791871533,39.69866316769028,38.809162835710325,34.33967953518775,34.68459108147247,35.391207349070314,34.84444659070218,37.37484515313165,38.12110682591119,39.904139300937175,44.03655865910776,40.570952278051145,44.768294225354246,43.85523658112594,47.29551963238091,41.652804988091404,39.27787725092044,34.817852297683956,34.07198565044184,32.15132101344029,35.55916534146939,33.28601378584112,37.0541398138972,39.48780501180874,39.017111942406075,42.87604742385917,44.18126233581857,41.56756796399761,43.635114277092946,44.307883438073404,43.79693497227605,46.11175321023852,47.439968272725174,51.99499279599504,52.549919306486174,53.277156956188506,53.02275892100663,50.11192542876004,49.993401687123786,49.464568665754285,47.74403630180771,44.58390835826475,46.728033850724366,41.70709350244541,45.90297279457409,43.59789607055381,38.10825915966839,40.17126782126272,38.48748379824611,36.475213086432184,34.608596598288884,37.21385334597988,37.81718810926289,43.05013239664716,46.27273005363275,49.03227101943291,51.88785924147564,51.668409695544206,56.629609676182476,53.79415226534032,54.49952751453288,50.11351492119766,48.82482430710609,50.51733056833128,51.27363995899019,50.22702406477126,53.13577004976028,53.627770927749665,53.86176914219125,49.8378497039326,48.52164643905097,46.08622823869505,46.66680046445639,46.062188272601404,44.123658689197605,44.1122738623016,43.2666462365584,40.13376315337758,42.658630393701564,40.56240696100242,42.47697141886077,44.423061989099715,45.785212739132305,42.130708220157594,40.3364055367,44.14580998496708,42.423881393772476,36.56499251756917,40.14288321036782,44.78431838640543,39.458875182450306,38.09588872352192,41.59259401733233,41.60951695081006,36.89450648442652,38.12112823220097,36.12470630083961,41.75462435908521,36.9272803968564,39.85263179411946,43.65094192862112,46.642042795929,49.90805013068369,50.97925481594224,53.27582982275503,52.577228358278326,55.39454121188348,54.0752400453392,56.17604512083006,53.57765956894444,48.62158910625829,51.46294907178829,52.055591001343764,47.37566299055845,46.39507825702257,48.60681910038582,45.894276941751436,42.19574817221734,42.49650283964403,42.06315098554287,46.82059345241234,49.859773292534086,50.6210548804157,54.123881420827,57.4615123528824,56.027963389035605,51.333627269524634,53.51666230921682,55.69430074041865,51.29617257961275,49.13720806180782,52.33565248881206,51.408888208198185,47.37161129216595,50.778444752572874,52.27367539144635,48.56939746198851,47.653817022400005,50.91009598001093,48.67835956912295,51.395881376432904,50.694785029415115,52.568116175419256,50.35398286503784,45.4801246169289,47.92042271583038,47.426523659332545,44.23055879809613,42.631494813461515,46.441548703087136,43.466419670097004,39.02862780682027,40.781661818968345,43.37868096932549,39.96044529255271,36.52179868039374,33.29974945955399,33.0135656954153,29.23383470087296,32.88718787706513,30.040198548027814,33.53340426991539,32.896274237188216,28.358449174806303,29.09112573489075,28.647867931294048,30.62972853486709,35.062942527335565,34.60820456476092,38.19385174507403,36.646999019293666,37.99565403524173,43.524458113855985,45.793354156277346,47.018901130685386,42.06213665894213,42.09517478924224,45.62195091406268,43.210764860614674,39.09136214302024,42.62403494216095,45.729615997176886,46.04888933368886,47.71262124669204,49.0004096379336],[38.46292653660178,36.88716504249063,37.51770688736966,33.978833091472005,36.63143077635896,40.535189004449826,41.745735566815675,46.32877218386731,45.786564388172536,45.41350981333227,48.328069205936835,51.85654242120029,49.61288463173423,47.01737418880815,52.093014040441346,53.36844080199957,49.67988378302531,52.54590563272334,51.497943915161656,54.34833632689338,55.72763202357446,58.59076732079208,57.54596280719626,54.929405940030975,53.642111140488254,50.90391205927461,50.275666963392474,48.783151346095636,52.14276132148933,54.0546245258286,57.723081823528005,58.504059843908514,62.54085139362178,64.8841001750975,61.86368794714204,58.56544288480388,58.27122048275245,55.66320155044929,53.56133107886454,57.34523461422134,52.93948740176391,55.26829352829392,58.716806967921336,56.14802740963252,55.21067837896198,52.22033205107057,54.75019742165654,57.04605713959098,53.41951572007923,55.558886883592834,59.85395344669202,60.9045103564653,63.41385626980939,59.70070701273595,65.53661293533102,67.07158953085076,63.28314702397441,64.47569499982507,68.98901180814437,67.59935491874114,64.34457988881688,67.43577714921211,67.06338777638557,66.9720370873628,63.622653118619446,61.60781454673643,58.696271073533126,57.63059664270911,54.04961368152454,54.036297806667946,52.0937433742136,53.879779362296595,57.01402581001979,58.57080196391888,60.29085935564621,66.15890978278236,64.20880430718182,68.29473528548067,66.58019852308155,66.2430628251988,65.21805017019857,62.983661842158625,62.55531654139,61.016419659635886,57.13075523392033,58.01886532952545,59.43175104794447,62.54957562993971,61.38102560799083,66.2310164136188,63.63597945988625,66.57959247313782,64.15442214957898,63.3454678577111,58.90915548508647,59.76496666767721,55.63064547303948,58.959971156523274,57.06226587982193,59.5351555526914,59.557313890367276,58.694604245576556,58.83201293616476,56.53669805276472,56.9801119136742,52.67002314518416,54.289546016998216,51.18243825871716,47.96436386151646,50.176975197070085,46.28520882836691,46.212139745638765,44.68820422530734,42.899935107469865,44.08099180065788,41.5483094384533,44.34075590825056,41.65629304583747,46.18309534480715,47.7060182766119,44.57359400916916,43.54102338803036,39.08417495300055,39.227208566640584,39.655415901008105,39.051763843545906,41.108143858266,41.97070063845508,43.53189521616839,47.77083303239141,44.02500718003235,48.0989397640071,47.43526762190319,51.03181175343163,45.50948765507204,43.315323414049026,38.5949793899177,38.288068720331545,36.63099684640202,40.15615080818688,38.12196167475505,41.933918173085274,44.398249864996856,43.807797294579224,47.645847353549314,48.89726930939691,46.20782128582303,48.1209877204988,48.581590949935446,47.93439913403493,49.97683964098038,51.257937406590244,55.66210770210585,56.03787893179076,57.06398213291608,56.95235293184856,54.22080472998109,54.00036001465467,53.74752493822367,51.847750823844166,48.86024394353078,51.26494646351448,46.26569536020512,50.48005019619392,48.018731274876984,42.54334014288576,44.31204539289466,42.53450084941138,40.330088867598505,38.73085042808251,41.25986509545632,42.10614008703296,47.337526954075464,50.57252447749234,53.403352025959194,56.163627623229765,56.09020991075246,60.98501302349149,58.215411620227286,58.76132199645881,54.37953454574885,52.877031456451235,54.44290566416982,55.134479790012605,54.33951963872132,57.3354070923538,58.05919004998863,58.18008040637831,54.35978631292619,52.8166577020791,50.2682528266149,50.71372338833196,49.86956800995389,47.80424119813542,47.55944918691505,46.39937163100912,43.318674053385756,45.586208594156034,43.256189180609596,45.400542160657125,46.87635199609036,48.42352967388284,44.960128080423196,42.69525766291543,46.30314291015006,44.821673429886104,38.84425008978024,41.99358145754251,46.699130716693396,41.52542265884023,39.787038053356476,43.044371544997425,43.379867285046075,38.56521200452825,39.22634591852154,37.30693625047863,42.60738515857099,37.63050806433576,40.96059331704804,44.557427759517964,47.412736187059444,50.232234950369666,51.56077911109092,54.33351486555465,53.92494338643003,56.936949831352486,56.02093111897457,57.98759494058008,55.046874408311325,50.44866978748522,53.517270883747344,53.76469271706444,49.039621470549136,48.460184094909884,50.7837703933782,47.615630211654725,43.97243316834834,44.96036163985368,44.37259931173589,49.541564945512306,52.35951777666219,52.94345027663181,56.65126751776904,59.80310774745941,58.72797020927246,53.961946684931064,55.76972440979978,58.17741709930432,53.982696515209966,51.46551885545498,54.54103712156162,53.728603991183235,49.556219383301936,52.61464574421091,54.11941601572915,50.48707051035602,49.22560223693152,52.2942104082285,50.07056112755617,52.91296581649526,52.542492844996055,54.184570146861,51.62084460083152,47.0847985161903,49.621160525702074,48.68221088444284,45.471479525647275,44.301653124863975,47.737538980353285,44.33095246261575,40.29256547397664,42.32073320391604,44.3639479031825,40.62724325562506,37.48363973552446,34.52246745729934,33.53470189491092,29.89825413944684,33.37438792848619,31.198017921650536,35.09792846645373,34.87159048407607,30.172788282422268,31.077910737557087,30.371138615247755,32.784098804023834,37.19926663368495,37.39937302828865,41.1532538292911,39.988565322774754,40.9604389315724,46.57936048318826,48.56672733318153,50.100220669236606,45.18813655179593,44.74342466840344,48.31378454456843,46.35676715027137,41.86850435035167,44.992832191291704,48.2157347642188,48.697522109847654,50.44838538115902,51.84870520657021],[38.79643073538133,36.90859980768884,37.02059816006844,33.834148550725516,35.88761066286557,40.43166992713599,41.615126854332445,46.192481067531844,46.101838164249756,45.71554297145177,48.84475499916472,52.23735460583523,49.703738279784126,47.479874434010306,52.55053243703697,53.539579463576494,49.7196862212594,52.62612655957602,51.580151871266224,54.09457723124331,55.51403301467944,58.09475728683848,57.17783816255977,54.468904745462886,53.04208808397828,50.56348599753139,49.73476723462279,48.40955391511565,51.885040603002274,53.79797670901146,57.91576989209988,58.406968207224935,62.602684012922545,64.88528649198811,61.63097165334751,58.303183431063886,57.75333561689643,55.004703579790025,52.68712650691919,56.07268255798286,51.80251734270877,54.54541329235365,57.798718504469704,55.076183660492575,54.18699787676009,51.069390149552284,53.46181144284377,55.72974320604313,52.010794383411536,53.82843533148953,58.216474756740524,59.112906965567966,61.80699476668545,58.281144022086586,64.14508094335844,65.70916325361044,62.130972810271736,63.48568816923349,67.93311320181662,66.54243403708807,63.58925012159246,66.94121018415017,66.724074739251,66.7933377370716,63.2455890263446,61.218746669885846,58.73008000085004,57.73140155558242,54.42154610072227,54.60559174611122,52.818972589159706,54.87287761287929,57.769544884029834,59.11473247346556,60.63746635721982,66.40600837532915,64.10645522587588,68.19068548783694,66.20422595208494,65.58746800162866,64.40902550664767,61.8752423228992,61.40670736235135,59.57178951750625,55.754893358515574,56.992728857922145,58.62721068266551,61.8662500902404,60.97802989246335,66.01756277145984,63.684105187105274,66.87629004664609,64.55450448733934,63.725426396969944,59.308043579763954,60.4422253433463,56.313347875944004,59.26716602625121,57.282017934083456,59.65949174024195,59.36691928756951,58.20022614669705,58.15480382923866,55.601160095221026,55.57762761543345,51.33739223067496,52.673077749933164,49.33947386736841,46.31130898019838,48.83048125770117,45.20335076100799,45.223476397584186,44.15935941892776,42.26663303900223,43.88272384361633,41.26156685828388,44.13877422939574,41.38462690081007,46.19314672083268,47.833063282229325,44.87987316946578,43.8450443077354,39.22696301639547,39.22898500613665,39.599046561663634,38.388663347227265,40.38621519372708,40.83154380538832,42.069629751157564,46.116985216063924,42.01407123715628,45.87095037519937,45.137403976881394,49.017606371614896,43.53604633307992,41.74731178180372,36.80345064854759,36.905001897216415,35.59786939118446,39.13287027398931,37.23838006381042,40.947829848734955,43.69852674705236,43.017424377684556,46.72587016993626,48.2247215768425,45.55602618722729,47.584637959075934,47.89481432668552,47.5654890785823,49.43661668316969,51.138771094233526,55.37170330422644,56.17483454048184,57.254019008896535,56.83425063897366,54.072721472712395,53.49637763682885,53.290255324570325,50.93696281046413,47.7355484491458,50.3423663261826,45.13651084632613,49.215945764395826,46.319621709183984,40.792002320089665,42.17822746651953,40.129718658796435,37.87446762284838,36.68678750018619,39.25078617464466,40.497694605776346,45.69179718444273,49.06379878654047,52.10671219355657,54.95057118882172,55.247530850323145,59.89167297158519,56.93407355860932,57.27875891195535,52.68454965387837,51.291059811847624,52.420867540010455,52.873751556193575,52.27598873424149,55.214757105823765,56.24291271211447,56.052170019358805,52.532377814755435,50.65623007081923,48.01192263280462,48.44102571204202,47.31204579928782,45.2510325645937,44.894237246443915,43.57709058678882,40.788934192928146,43.04748456134017,40.87352593856413,43.39599597622546,44.73657921856267,46.662519256471015,43.34623982664598,40.832517114729384,44.536166285100215,43.48354761742085,37.427548675369806,40.41976942110335,45.42888304089458,40.61997000408481,38.75678683066186,42.060652548170935,42.80514757775859,38.09492786021151,38.52704893031856,36.265494029583714,41.50802294245494,35.87866542877066,39.20404554956818,42.86947421837102,45.28298407060469,48.17566756503805,49.248998998971075,52.10771941181915,51.54122728576639,54.47607474277927,53.66619378078083,55.31134841933869,52.30236430310913,47.905380644072764,50.85077074987151,50.7561295863856,46.09900866540856,45.649798709712954,47.75987619909205,44.356227285467284,40.924488670043566,42.03826334284705,41.80075551542166,47.13327263815181,49.86985622797413,50.71147893263369,54.54624989073313,57.83132458739543,56.940023887180175,52.10105230913899,54.035948752535035,56.69344592890799,52.611027441681316,50.027195364934904,53.347073280330825,52.78469127461603,48.55770859188813,51.436088333143005,53.23540342030296,49.88232061870809,48.30294887151379,51.20719366274922,48.73303926777402,51.32900396473327,50.82394099133763,52.165625814189134,49.75468976274263,45.32640632948435,47.48467220373043,46.41917150683084,43.37445317235437,42.0214112661047,45.09072584533629,41.74009566131437,37.87385441406061,39.57654706676567,41.372448449330385,37.73682624975696,34.734830477918706,32.171488375668694,30.80625310098866,27.57068835375419,31.425612363219763,29.644292663161323,33.55979718612031,33.89488792346872,29.085352010342124,29.52012080601698,28.29151079815588,30.5923832940075,35.09550700865644,35.73577053920631,39.3047663816199,38.630813980185316,39.87328543381839,45.43870598722449,47.4521304121852,49.33009582624758,44.440078529653924,44.01123899896137,47.832829377729155,46.106736974756345,41.65382462432047,44.73591496626855,48.21089837603268,48.84220188495088,50.73404461346545,52.05269470117158],[32.821404789047165,30.799362678319763,30.81744334387513,27.486139306556296,29.57996888815699,34.06346828981876,35.28077529445749,39.85647264964442,39.829560175914125,39.582928769844195,42.77028252894938,46.06550980189269,43.65573792024949,41.558078869952844,46.6816663850661,47.64148200038192,43.97722837979133,47.101775690321254,46.433618708740546,48.89769496294317,50.619940715728866,53.339820433288445,52.65571017173949,50.16658013036123,48.44235901829519,45.747874510244586,44.6352392162694,43.02158964927874,46.30564547144944,47.98622677186171,52.19667280190016,52.46955090241671,56.66491322648887,59.11759881005257,55.878219859627656,52.70039999456927,51.99457204795784,49.576976306877086,47.383767522062975,50.99433692572466,46.89022505830007,49.595923697955094,53.00672028803744,50.52041934445484,49.9715027559976,46.98698204806193,49.627558397492095,51.54696844153676,47.62759844741185,49.66767836829544,53.90643487375536,54.69677998973951,57.25464529472131,53.49697599834281,59.23697594997529,61.093562744080565,57.520278617968984,58.522839968431946,63.08009506412357,62.0214861312973,58.881675198103174,62.077011155159205,61.63095742629726,61.9975685666725,58.521880686761065,56.207577518218606,53.74686720975356,52.466673907567746,49.296519360990665,49.23579811293674,47.61977170513484,49.842208899710656,52.54978966184423,54.097182727886135,55.316683161112486,61.19432035205891,58.85527480908946,62.80713394725143,60.82987903205665,60.347870817823825,58.96842869255284,56.57241382174997,55.850574106261526,54.1909827837633,50.439981182383264,51.48813115718512,53.267575733684644,56.26022209287525,55.54390173776423,60.42333985576233,58.1492562643152,61.41766045155776,58.95613601106082,57.95458904655103,53.469296703876495,54.61171895616127,50.431221062123576,53.23556393981629,51.14122203343709,53.391275359321156,53.22346841693276,51.972433170649616,52.092614075207464,49.48946242074895,49.69796769135587,45.34545188267649,46.77258416242068,43.574900192844275,40.39558518555206,42.766348118637666,39.02313834472065,39.1099577687426,37.938630565181846,36.21266933995616,37.91862828267492,35.48208345339386,38.55950107320524,36.10444274264093,41.15744270269004,42.43288942196259,39.46290931537522,38.17381471241998,33.57548196004251,33.314993213473365,33.45813173050512,32.308213419201905,34.121900195765285,34.75146087986181,36.09050631402351,40.30006307503218,36.38936730846665,40.41124697448615,39.86399307264791,43.51252178010046,38.08179645999743,36.046511564100435,31.137820971117904,31.226180175971905,29.966593089297223,33.65205934137652,32.22774686631615,36.26691228494336,38.6909476381646,37.721481071686185,41.4690121711016,42.66873140962991,39.87718641049212,41.669412541328334,41.849061874126576,41.366321933689704,43.165081849301856,44.81077738626647,49.03100258165633,49.82093494980117,50.92886761538683,50.53256916811366,47.83578334032287,47.26271555612523,47.184377505569344,44.86832705441675,41.89481362724148,44.65198172218983,39.6459251831733,43.865875698268795,41.235765809695785,35.89018130223351,37.31692661267987,35.72375564793004,33.19787216703212,31.694135322354995,34.05691514221591,35.10738940255854,40.311150436259,43.54000786079575,46.470735657093954,49.15338065805747,49.375625933258846,54.0842922384445,51.33477188984218,51.66969806128124,47.303628000605556,45.595849873137546,47.051930169065905,47.749547905695614,47.19349599579587,50.33780450166725,51.31225560568509,51.49173526905182,47.98029065164717,46.15963943733804,43.45395726687705,43.61028365995535,42.65870008345663,40.43914695165914,40.053434330973936,38.79752699320184,35.62975265201684,37.83805842605638,35.50421176159076,37.7050536136627,39.22043821513828,40.8640356297325,37.42101287303003,35.15205707906617,38.88822753457437,37.54812850672451,31.543877011947902,34.80510790724646,39.682649931618506,34.68234445237783,33.03643626142585,36.48416676114078,36.969234800779006,32.2921707139955,33.116507867309934,30.860604320223363,36.37887464255263,31.08646663881278,34.1186091506224,37.912417506979295,40.66548750930609,43.89363658784609,44.90275573643928,47.35491906828454,46.70283317875485,49.5880725169516,48.50012720641953,50.46857921142766,47.6835695753777,42.927971182082246,45.89819207497023,46.28092587553736,41.56356494028196,40.82744059657404,43.15243085056375,40.17319139277711,36.455841293194624,37.268997236295064,36.67030593699972,41.79246405519984,44.63569119759695,45.312054443778706,49.006575344643906,52.26571293452658,51.16374255475839,46.3751345665496,48.35884248483631,50.82158981602167,46.62397215723026,44.175051707336884,47.46215598260705,46.779610184623095,42.613160516446996,45.71720565360608,47.43791655567632,43.99094041132437,42.657100608693085,45.72554821720859,43.31792379607166,45.938049995965564,45.31030179005272,46.93796050737326,44.64902310750593,39.94694390073461,42.270639447856986,41.54367690675173,38.39517901420288,36.90389460047711,40.47235572227724,37.35919263608629,33.07712915266527,34.89595186764579,37.26619657751829,33.75790600707122,30.399776642485172,27.330997266699324,26.788438835920676,23.11265287492766,26.901049156108744,24.390382483261774,28.056672386441193,27.98973842119482,23.26383838311216,23.778684733997743,22.95043208151842,25.15851437784878,29.622754492982917,29.820227671832846,33.49445540781087,32.5407246443304,33.69510398692095,39.279812403684,41.33943153845366,43.075605916114775,38.16007713442782,37.826575850795145,41.60648296053854,39.763594419481024,35.374613238932206,38.59724456527186,42.041309088888916,42.64084706075107,44.54122503122353,45.86019557997809],[33.022941926446926,31.44626777491137,32.153477299985454,28.779866668112863,31.673851545776916,35.483978044633915,36.945002774491094,41.508310994586346,41.12957390401693,41.09522591431246,44.09371394858544,47.444647747005654,45.465437635850414,43.064588507563094,48.22963430708118,49.47045584840952,46.016203479120364,49.185907810246185,48.61943904549679,51.375333801519965,53.11858691610369,56.09660800989707,55.33159814738233,52.93825904260856,51.30690861608607,48.37166304413469,47.38353385362608,45.56223489823737,48.679648368387085,50.25902495044387,54.094758054305146,54.52572222660403,58.57034796566595,61.17112035055843,58.14943743740265,55.06291904857288,54.50520485653079,52.32955094457124,50.3425587673585,54.28341769822293,50.12932715976593,52.510509458294415,56.09084027316082,53.754071213252494,53.196258066237675,50.311261791092356,53.05590848200753,54.98596407897297,51.11908057331493,53.390654021064336,57.54923264764249,58.42158562733488,60.841955237961024,56.93612285226798,62.62369565767101,64.51002330593545,60.796147417865726,61.626130432973746,66.24567806653052,65.23355108786981,61.848917545433025,64.81088883088601,64.19383766271281,64.47559149231228,61.18046906034607,58.832644364322924,56.007442376208814,54.605319981501665,51.207240192447294,50.88296206104606,49.15124319596993,51.13080124876469,54.04682414662062,55.861242566144185,57.20453264401823,63.205656551259096,61.17985773857326,65.0957379682354,63.35656523210127,63.136403049056064,61.81722977010792,59.681333641584104,58.89137178871086,57.48764578947938,53.73046011054545,54.482306456035154,56.14835118077953,58.959601757974355,58.08028411273552,62.74039137483043,60.25474038688467,63.31214515936854,60.698354638335005,59.64012257606997,55.09967178553534,55.94455565204289,51.722750088838,54.83417997461069,52.7333300961574,54.91714600761278,55.20213966902556,54.084571619019485,54.52432818768497,52.01715151643006,52.670002272650756,48.17924245567861,49.72271787531246,46.70690650969256,43.287963793559875,45.44188925263994,41.482941518494506,41.70675621267909,40.132514045030426,38.669575425891686,40.07131691067194,37.81925318861299,40.89627176741008,38.5929843921965,43.434940458105466,44.51364293067086,41.36134658111663,39.98134409921394,35.556547331490236,35.31246746690276,35.34599903469838,34.78287298840104,36.36568990041157,37.4781252557149,39.00129402495353,43.431315890375714,39.74608213412932,43.87552503407634,43.54734838439862,46.97994654479286,41.6201449691768,39.303034177594874,34.519088945295714,34.44266040467977,32.991737160741714,36.7077509687903,35.29402615760359,39.450272236410186,41.596684224777874,40.641687847225164,44.48796307589406,45.40410630981221,42.556113528719045,44.13254453096185,44.33059198055043,43.455937581364054,45.25393863746977,46.45558783356464,50.7422668923787,51.01681917813169,52.249218346118525,52.23035033358101,49.67511173935638,49.385831562479126,49.42770172050493,47.454828933991436,44.811049219720566,47.513944822378264,42.749879858137945,47.092951512652,44.81399039839918,39.56507491153575,41.18669843431647,39.819152441081485,37.25712152000734,35.514804818495485,37.777104310776906,38.55951449144468,43.760895887536456,46.8407855447861,49.58974001965267,52.12019237734605,52.070049463564274,56.96082903523311,54.44843300158328,54.88198447671212,50.7479159813799,48.813209972570725,50.61721667807601,51.509863187858144,50.91604345854809,54.154994953506744,54.97047093641309,55.38851344135083,51.72519943559109,50.093253506423466,47.42317766123348,47.514040401518706,46.709178396078016,44.42767904310885,44.01962128656434,42.74792017772628,39.35279759495171,41.39759237992931,38.797033233830206,40.73287521154753,42.0964672218843,43.4599613545889,40.00648119101382,37.73254945619035,41.2256436199425,39.60695389443619,33.65952700684504,36.802266879002055,41.38353026424865,36.13404851498159,34.40679560640896,37.65397438764034,37.912479509195876,33.08927752593343,33.81946980513471,31.961053824091927,37.324269655777954,32.62275824153591,35.873762702953776,39.463191674980514,42.55865831921936,45.45803436189936,46.85060326462358,49.47089225525452,49.13742230303705,52.194268641159894,51.234862688556426,53.43017931832671,50.53475722305566,45.814087828149674,49.014144263258515,49.53117945626965,44.75414861882708,44.128259639942755,46.70590674287456,43.717141217157824,39.859347853186804,40.94142648324835,39.91418837784952,45.06767011380213,47.842924885091634,48.1587842396063,51.826218456677914,54.83570116142203,53.764003887059346,49.02900642665582,50.66433830181215,53.004269969063984,48.83088543661947,46.25393932288997,49.21834986160439,48.35965650726918,44.18590182135189,47.257704073406956,48.692033398629945,45.02371372434801,43.81105961377197,46.92587236405174,44.773815565815944,47.69345960549014,47.38547202667861,49.167197385506924,46.544380633845755,41.951866200154655,44.68889741336744,43.83641113051971,40.53636120048309,39.484337402224845,43.17106001755096,39.77672148347321,35.59270182754899,37.87651487139288,40.148008149026055,36.382032450973156,33.09067446003818,29.81829948079415,29.23798831119481,25.2948190529913,28.54542525268352,26.05688910636076,29.909483209923245,29.509414455149273,24.855226245278555,25.9639916178505,25.53352856547362,28.079238676820616,32.37469919470473,32.51010038806477,36.428652821659746,35.21105325396423,35.85857637694821,41.50993516393131,43.36965028610496,44.937426384339815,40.04717908366891,39.42305223905414,42.96516295379779,41.16280955574437,36.539424206918426,39.56235456138849,42.81514470227156,43.352476995185775,45.161230575693004,46.61618862444712],[35.465447812687785,33.91496097321755,34.52788981113007,31.90217849621017,34.645630260885866,38.83524105928396,40.57917437880184,45.09922907950834,45.129417122492576,45.35093623022514,48.48887997014443,51.65106546479844,49.6977332342691,47.590987552455765,52.77993501514002,53.8591457457784,50.429152214443,53.708168550273726,53.23448877938338,55.76567276824246,57.576698494860004,60.368738170232774,59.700358506491156,57.23789313995834,55.509172570724445,52.75045655451483,51.58626739718073,49.83022119319341,52.96397005222005,54.42991210668433,58.593745951703504,58.71284223356058,62.8486107338608,65.52198967508045,62.35750386011852,59.32602580909727,58.49812198245368,56.35621977098294,54.22486969566975,57.85089119798489,53.86118165007731,56.59054854850516,60.02646789896663,57.576833889710535,57.061627638261875,54.061740886504374,56.676156010670304,58.59845035338533,54.64364688631565,56.60992893040693,60.859049835120516,61.56054884939195,64.16098155673598,60.41717847049555,66.10629118393267,68.06702126183507,64.5480108698765,65.47963709679892,70.05506744948057,69.0725225122686,65.92659182804096,69.07324435287431,68.53679060357744,68.96152304009601,65.53894979451397,63.15540447376803,60.611604711342345,59.20485107163396,55.98435005177839,55.70490924363011,54.0815706322729,56.19244651189921,58.982344219770944,60.73754354317953,61.92605838748861,67.89423785320783,65.6535217610377,69.53226491073181,67.60988483936171,67.21179506483135,65.7015919015712,63.33986127463771,62.39610473714267,60.76160063465979,57.11591691007157,58.14665967278101,60.07056376140509,62.885451470171716,62.2998166107571,67.03207359158338,64.74149144962387,67.96293807867495,65.35152731715532,64.1994182910945,59.63315426537591,60.5914672237957,56.34057297556694,59.169211472023484,56.905693507554815,58.813557895037576,59.115340149659595,57.59108763361609,58.11508922209608,55.22789235993652,55.56823119958051,51.01048251267978,52.13305597837942,48.901516261495566,45.51178537146624,48.0024620607119,44.27639411695247,44.89412527756184,43.68988180099325,42.37306470664645,44.208218739006696,42.01598436244398,45.23364945829469,42.966085082558735,48.02571330248496,49.10714564304728,46.05407914098628,44.58647941087868,40.09222220095464,39.63142141789429,39.428025858890294,38.44517666764695,39.59429414867737,40.52791033492249,41.643382275211096,46.011108732164104,41.883084766866574,45.736246630720665,45.58963033416509,49.314391080554444,44.11491276866995,42.22028423503476,37.11892480764799,37.65480369467826,36.63194917803925,40.41369731532216,39.241357314825144,43.339166142263274,45.69228826072153,44.61044659004812,48.34999495190459,49.38234394702476,46.50321323038065,48.030354817229394,47.96660647049891,47.18697599767147,48.63981020895852,50.0596262394161,54.08435901034816,54.472593476264656,55.989210726318255,55.898202122885216,53.48637058759613,52.89062878564354,53.19010600922507,50.79462431273435,48.170992619885595,51.19512099596859,46.33489886560892,50.590353069958084,47.923543406244505,42.6706979905508,43.81638134150698,42.20922443184478,39.47682933104157,38.21919030766036,40.43044252999911,41.654517870355605,46.80446984249495,49.9680246498358,52.89697325176723,55.391827101304024,55.69317371823126,60.35541556426705,57.78894611781143,57.9623622217417,53.71383930765878,51.678344011094154,53.0935001317267,53.778818864285405,53.52283791039184,56.789232754027765,57.98376139979158,58.113843791670355,54.81107185783257,52.79563622338353,49.98258472200999,49.95176403389422,48.772809426007065,46.39590938501856,45.716467291659676,44.07517579167906,40.92973372204657,42.716624163711025,40.016077200794086,42.38556377439526,43.21122463679174,44.97871786841822,41.8264008653149,38.97130687599079,42.30029994012275,41.20298128647972,35.15701660409171,37.74503421926783,42.54421454003169,37.733662705013124,35.57795416854433,38.58427313742761,39.42611089664359,34.636241504225374,34.63680615915312,32.64601561925902,37.57898983853979,32.33133243940191,35.964420881155164,39.36562822941368,42.018680324289285,44.49809110765486,45.98527780705366,49.123663801908656,48.979623469389075,52.1653083638743,51.66754126016769,53.5255399526754,50.268875106120205,46.04728092451643,49.37434861210472,49.34819806439044,44.594487480861716,44.44248967908585,46.98441630065258,43.43503785936364,39.78199122379743,41.59620451781404,40.64131016600452,46.24676158998169,48.74421634506231,49.04819119481219,52.96947810305794,55.87226434339292,55.25902156238097,50.43605348244618,51.78603139456368,54.49057953174017,50.605270266660035,47.66488951848287,50.64978509883911,50.06709680187082,45.760118355715676,48.3580522689517,49.98511198800215,46.59421129444413,44.8459898537982,47.64728197837375,45.35298129715275,48.21720410892598,48.14728443872053,49.50128387430564,46.64654082787219,42.487478247532884,45.05896679773367,43.691973812575384,40.50414721833325,39.77164255020233,42.8337140861686,39.060404368621484,35.42022963651652,37.76047722368089,39.31070399642229,35.304953423814176,32.43049012793009,29.709501306718234,28.172703487352653,24.681157509348246,27.94091921958097,26.459606137874864,30.676184673274296,31.06623410864072,26.269322373830164,27.207703405172996,26.180565467023477,29.034660532863466,33.304533924270594,34.34464263659514,38.25322960067918,37.707492530502726,38.18484556613423,43.82761949460342,45.429649546654915,47.490555776666916,42.69531035050949,41.651319933977575,45.36347949581887,44.13927359585622,39.25622851542889,41.84022649631481,45.337174266909805,46.12069692749714,48.081945036667456,49.57753510341139],[32.53838986574778,30.66022785706344,30.803684013630008,28.388306993721663,30.673546416440274,35.29603451399336,37.02225478854753,41.51171455491616,41.90350628577105,42.17521368870707,45.47700801424096,48.48018762143601,46.38160556756996,44.61540431851873,49.79388520034868,50.64861631439131,47.220458363912506,50.614646763332395,50.33130878258426,52.59054587271708,54.57019469266876,57.22481612421789,56.766357953067946,54.36283411350487,52.40088937383911,49.72547334210369,48.287872831707574,46.513653170499275,49.61201273263898,50.955825895048534,55.45943786963075,55.27064011056434,59.503019882396345,62.202101770986665,58.89244750068884,55.925764494142356,54.84718041555896,52.78276161111484,50.576246376521055,54.02538194265786,50.234511151118646,53.21320324211112,56.5791715652072,54.157873598164876,53.85269185637195,50.85538447647572,53.49072378576729,55.2032701703068,51.103799577318725,52.957945361238124,57.16857757990518,57.709625577923106,60.35360893331653,56.63221131817769,62.25336301792622,64.37512398593806,61.013427917895434,61.87227829647347,66.44246750750725,65.63204451239898,62.605223556870286,65.83819848151282,65.29602555920157,65.97620688194432,62.467585523669094,59.942579263782775,57.71403135551679,56.22289893261666,53.27532028807722,53.01701173465864,51.59368211268424,53.95901853029827,56.478222198930446,58.17570632546964,59.07483182210802,65.00343161448308,62.508782428732246,66.30756198715034,64.2087480317111,63.68712755125349,61.977217751336404,59.48826317713233,58.393848320430024,56.649926143923565,53.09972955894969,54.27063999202723,56.41196643029856,59.17547368479397,58.87137674488084,63.63884949481179,61.56763369729731,64.98743210335877,62.392644495174736,61.15094301634351,56.58517778591966,57.74392502604397,53.49272074477063,55.970507359095194,53.60591525331607,55.38663165116221,55.51157440699043,53.74090013074042,54.208230047696865,51.1269748220593,51.25068565299432,46.699711689005554,47.66502819059895,44.34925663613166,41.02496918855093,43.65524148807333,40.074129162746544,40.793008115653755,39.876190091389375,38.58006267512956,40.76251405774644,38.62200108951653,41.97448817168565,39.83294944839867,45.16582058582932,46.137565843746195,43.22527296363415,41.643074141416015,37.08777643016673,36.39627237072523,36.03395293057684,34.64705902348456,35.63606510179313,36.355896802929905,37.27665231601386,41.5763069248892,37.302059448294486,41.075247754596845,40.985269220296125,44.77687628565027,39.656622649266914,37.935426773633566,32.71338621999268,33.56011682765017,32.83823974383036,36.669753309789904,35.86495011591469,40.020246951166165,42.377511656487336,41.090922742311356,44.730538726633526,45.77396904348731,42.86537386880066,44.34214205552253,44.1043949195018,43.48150433037706,44.770032427195275,46.46613573929768,50.35002148341259,51.05525399997103,52.602129453715484,52.29276234695347,49.89385275979953,49.046854321788565,49.436908859371854,46.74720214154846,44.099494656176205,47.33007956264508,42.45838927945276,46.6663502249843,43.85092774010744,38.699322830456346,39.580292586361914,38.042401775220775,35.13627845011966,34.02067851621717,36.12056944478478,37.52212536561004,42.61492643321754,45.78192528971047,48.78837019778875,51.249285920375264,51.771698220167366,56.276954982328235,53.69017472444441,53.718519277605026,49.45520855306034,47.33796847703673,48.611857675458744,49.25712067016098,49.16383886695412,52.48625027484358,53.85649749576321,53.967785178632404,50.89067317780286,48.68807636000858,45.793471927934974,45.59971641291552,44.319289947109695,41.864714408456436,41.08642802044125,39.36417074721821,36.22576282849365,37.96751412964493,35.2891564787362,37.764039794546605,38.58780562387124,40.483727652085875,37.37109870391744,34.4622311470039,37.89331355112933,36.9604022311294,30.878316635661356,33.50469930814824,38.47907879119429,33.83664572790662,31.712276475774495,34.85464225904698,35.861652281326116,31.177688449660003,31.240817139746632,28.96093168128985,34.04661823411089,28.43521374043843,31.898380459417083,35.458364548522276,37.978840729303606,40.75022204390063,41.988536827199326,44.945079642921606,44.610642532493955,47.70823649927404,47.11248151907944,48.921365303059915,45.74588315404864,41.44332262570173,44.69432409269829,44.69394649704673,39.94076195700227,39.71301326366227,42.22492302040195,38.741800302344,35.06649745603571,36.8081521476478,35.90511955843969,41.52020007155996,44.02336413736875,44.434287853673325,48.37013187715322,51.36905245162396,50.76016965287724,45.91085104132808,47.40195525177884,50.1793223999787,46.3038653047359,43.40076431440405,46.564471410238106,46.10044170220761,41.788750205783536,44.394497403438294,46.20747658491744,42.974381896309346,41.13330653905342,43.91613863044247,41.45657030607494,44.14204192958274,43.879030709645306,45.179504315402134,42.52323588369071,38.259149400797995,40.63416787156699,39.3779757878319,36.245901739687646,35.27107666300992,38.362889073317376,34.7698189651581,30.98130647278085,33.14509477459494,34.86205334252042,30.994549630045526,27.984454785145854,25.252679186942384,23.89363548855425,20.41535347451149,24.00303454702524,22.39423146756169,26.504896961549456,27.124151325752102,22.27540059358781,22.876211428921078,21.637487956722826,24.38614683532927,28.71250099637245,29.863416482486272,33.6873637794839,33.369973733699,33.999533559825565,39.599950977494075,41.252164425522686,43.48402892954745,38.701939810650515,37.73645379237348,41.61244089640558,40.486033906369904,35.692488364387415,38.328672860421555,41.99612150496616,42.87475913974981,44.94385996439459,46.37282728069567],[29.085273101615584,27.370180042256354,27.887820295858464,25.220157160270222,28.047209274528086,32.178905029385945,34.02168973155404,38.51515231749948,38.67496037379962,39.101779925986584,42.30613767809095,45.31668036956324,43.519108188698965,41.608665779984875,46.825849768332276,47.844599031766485,44.61461035892251,48.12172358233551,48.07310430047508,50.49789164034496,52.62460282649579,55.515372926747276,55.1119710484012,52.88882712561256,50.85341897948307,47.914597426224205,46.43776352174389,44.39489411572766,47.292624977878205,48.47871483734776,52.760614958406755,52.60139633034671,56.73053950437415,59.581377788076644,56.42794935747414,53.580996293980206,52.55680132508825,50.7908189934971,48.79367548897053,52.59481403747061,48.83358566539575,51.53966093953541,55.096759755899605,52.901653703694855,52.74943539534897,49.90312313766703,52.73286411500031,54.27991385651572,50.143146457335845,52.29195156049165,56.35654903688203,56.928369447300504,59.3854722825042,55.441377393130594,60.9622770484243,63.22392956333783,59.752912651791625,60.32206974794422,64.98164784771288,64.35452102678686,61.06035118723691,64.04793031685168,63.286325047502906,64.03807780172171,60.69284712052621,58.01960192660198,55.56149936016556,53.867002661974055,50.8454270251332,50.312999197002235,48.90360285390725,51.19990306419919,53.74520308128911,55.6932374064626,56.52888082055016,62.573845575036216,60.271315883247276,63.98589050298568,62.05865056205278,61.78197015465971,60.04635886576168,57.818664128999885,56.59308245851368,55.13078361260523,51.59189550158006,52.44307313908027,54.53923872660715,57.074715903681174,56.710566149987,61.25852212167447,59.0682248988298,62.378353261040786,59.63438991272747,58.29245091973547,53.671774215668066,54.65373712558865,50.36359519277925,52.975193632711154,50.58028932776078,52.308242863602,52.74432447987201,51.08290033963879,51.79809258206798,48.82324744767425,49.38610299120494,44.715303182632766,45.88915702193693,42.80073575057921,39.251979301522184,41.60053388011706,37.780909407771446,38.535884034570316,37.25831005416201,36.1795001515886,38.160476858457756,36.21874201959944,39.644385128920305,37.746643745849354,43.03459385592271,43.70637599544675,40.680545043114044,38.9315308289049,34.508857166600514,33.716047997399436,33.200832744408444,32.25610067944132,33.08284407230793,34.22299543865993,35.39036070731413,39.91507834777002,35.98351216638331,39.9649848113322,40.055187249801904,43.52438376761816,38.445796318049,36.34185063013561,31.294841929961464,31.906887998708886,31.021914901666356,34.92376815480398,34.33103174313548,38.70927088470411,40.699438379987804,39.30046133043774,43.02347178804908,43.73064521362322,40.73891681622326,41.976325952674216,41.72842454296171,40.78361750424804,42.09682913052802,43.47109785727612,47.4375449230458,47.82780409768405,49.40781152889429,49.33327595047167,47.02036598388109,46.39206360668504,46.867409761400815,44.474437667508795,42.133147135047025,45.34187326381708,40.739182486259146,45.095383510508846,42.701400956465086,37.715684867990234,38.8312485659394,37.710601282717576,34.70696180439908,33.18467140779017,35.125391973941014,36.168150495735816,41.260074892878016,44.24375196963555,47.0464001098036,49.34315545369507,49.60136944558963,54.28294438769835,51.94949831122225,52.08445164866663,48.0988481078859,45.719178282979314,47.44456826140834,48.3715326653716,48.19795153878168,51.660063699778846,52.82462609234059,53.31418299871469,50.08417436937519,48.10724986212872,45.246704239404714,44.908089647888495,43.895329407106445,41.35945375790182,40.62561164580774,39.0281541634918,35.50859355489803,37.18721536238473,34.29886293698677,36.32865908449369,37.28724479923102,38.76344620229454,35.50386805391577,32.86501109429319,36.207532966574014,34.822478106738,28.814340777366805,31.658581688302295,36.33712156275715,31.321233563659142,29.360620376135365,32.5332351941274,33.12831168408654,28.342214526839847,28.742579071036822,26.729403401975322,32.00623013439216,27.08676951895191,30.41771890365036,33.974847504900936,37.00542107734473,39.87232041026619,41.27844324434993,43.97360868963957,43.73173121555119,46.865034336506326,46.07894869311299,48.27506684567919,45.25382290831625,40.65971887235275,44.01919787671514,44.491202507375746,39.68107229621573,39.24071576924884,42.011838090823204,38.912898659222314,34.97097513947355,36.505103442515164,35.13937138507998,40.52963089434003,43.11458158271594,43.22949436928152,47.008715651946446,49.873701086832796,49.06047834810044,44.28978995454293,45.673625301884,48.19004246656554,44.19632865974331,41.373275640817575,44.33053001915453,43.6347817048407,39.37238325676037,42.199221682557216,43.76181918678263,40.27551692116117,38.75966597108081,41.74171467662231,39.49862297430931,42.390985875873625,42.190536668353005,43.84349576386758,41.11538278694611,36.655724744340134,39.41065085641891,38.39866666758013,35.092576196909526,34.22652961526156,37.8199629687398,34.302659317130534,30.210437299737524,32.700294119278105,34.85980013293289,30.99680268937828,27.734753138863695,24.445511014451878,23.82670915179601,19.809589062854965,22.97726257822452,20.660031246236283,24.661747859255996,24.645371240014402,19.892614909577777,20.979428594525338,20.40273587496783,23.23046341991776,27.42061309629322,28.06014798601803,32.093993106875274,31.311171490185963,31.62097264097128,37.28295875337596,38.90185177665219,40.85549119405263,36.04554105135323,35.045467157280505,38.735941187227674,37.45047076039743,32.589650725282524,35.28557149061081,38.79013129366509,39.57317508479309,41.57581807956834,43.07262988924444],[29.61235045327021,28.36764093960923,29.495742936405325,27.218150388928915,30.6631393049048,34.27693091585264,36.46911705999291,40.872516229620075,40.927431132454956,41.69470600161844,44.779347554669336,47.70322251650365,46.33926774090107,44.341905469912874,49.574947021954834,50.750344501789215,47.762358147483525,51.373220663969605,51.51334307252549,54.06297479592076,56.275226892278354,59.3110987179115,58.915188373946606,56.783549253738954,54.74558277654499,51.664192667129754,50.17858759159902,47.9604417450115,50.67865512757971,51.67986474793438,55.78201603439612,55.57504408247909,59.59410743621247,62.62730221020199,59.612920059632195,56.909453109810094,55.865515236895064,54.387693680110544,52.527543912825784,56.483868296536095,52.79094077589183,55.36694584008386,59.01587780260455,56.93522358143469,56.843100366784704,54.052756477494746,56.94010538240591,58.43905484335439,54.28641306973783,56.516012211585384,60.52772291504857,61.07542662293113,63.4756152711649,59.45724574188058,64.90011652672298,67.25611070040584,63.76461758961682,64.17923330617438,68.87594474171765,68.35624228249809,64.93858333892078,67.77907937528059,66.87511159899748,67.6661877845696,64.43624003219774,61.680317127282784,59.05421708820312,57.21582683623917,54.11806929423004,53.34216149499229,51.920379533396456,54.08815165720309,56.70908267585083,58.885668501540835,59.70013539909027,65.8298565344903,63.69795376611035,67.32936957726291,65.52994172637678,65.42053547201691,63.61972421734487,61.54148198932066,60.152743150200195,58.83557138775309,55.366872704407854,56.059718952072565,58.189587641437555,60.52081778662589,60.18302636980956,64.53053787934711,62.268008620322945,65.47258131892805,62.583111963884605,61.12098243005028,56.448991927043245,57.21972858294813,52.89439189986459,55.596285762349474,53.1093841711374,54.60503549050323,55.47878845241366,53.73193284318682,54.79907487965867,51.737691263928355,52.58178605852862,47.77148053558696,48.85472535833113,45.87541169820852,42.13503254314258,44.402045895684935,40.51767045076138,41.58780932311412,40.124477017571245,39.384873000672975,41.29643929155146,39.58627663800233,43.07341297515172,41.37418744649698,46.58326707931985,47.03372506098978,43.91835658383561,42.02790247400633,37.76593027075649,36.85888109544414,36.10986374472925,35.499961598053794,35.880392447187376,37.37965095970966,38.52090174704305,43.18742092738579,39.321447269717915,43.253739612928314,43.64183896527473,46.994664135844545,42.09660867614634,39.92688846347417,34.909268677780425,35.638528283888206,34.792455031358124,38.72697346402983,38.301941636908055,42.757274132060274,44.56308562372685,43.0940199483857,46.83544083276634,47.31014879929563,44.25901828587802,45.24340855734755,44.871184061234054,43.60764536318824,44.726556047655016,45.782573223021735,49.6427657638832,49.60829790494167,51.444966000527806,51.68368461568187,49.598955683185075,49.08141564422743,49.80943858204619,47.54321684412811,45.55410778125202,48.863544422772996,44.48187393351804,48.895883159534876,46.67446968479177,41.81519403703332,42.889746333926595,41.91117637268256,38.80069104732673,37.26179279511134,39.0600213143587,40.0366337888017,45.0670393200197,47.92137099232313,50.61540813446393,52.72461364875281,52.89497255007604,57.61458499130328,55.50683003208293,55.60430658393893,51.82415406217573,49.16987619509423,51.058013105675506,52.08852958240944,52.04767997834421,55.60484427194054,56.789303196863024,57.40427330628922,54.210649147632196,52.24789610785392,49.3606773549741,48.88736033630022,47.86482390792828,45.22915117692019,44.35885171012151,42.60994494009371,38.98828745322333,40.381566294902335,37.218687978811964,39.13408408877232,39.71244805725095,41.056809754442156,37.95237870396566,35.10217555555599,38.090555156741814,36.664837924228415,30.766775709985335,33.21046026588526,37.62091819099086,32.618005680916305,30.419279945189068,33.240452817431425,33.86198511452394,29.019100432524347,28.9886456927146,27.35132992038772,32.21249563231472,27.761635131585976,31.406456800175608,34.63504938313515,37.82173270019053,40.18421460870435,41.999753484871796,45.01948929256934,45.1688074374097,48.49804351499954,48.0166149626327,50.307002894662084,47.06791906895013,42.72486065991679,46.33725461601934,46.756486357301384,41.933905214392965,41.77490289936161,44.771901720812735,41.505125884753504,37.5223450921406,39.57323310441038,37.81027346961284,43.34713448573727,45.733645302041616,45.47736546556706,49.29710680150361,51.84867714184598,51.25770938205978,46.541858038211686,47.45013771084994,49.976152140147796,46.161982077476466,43.08236129268962,45.705379140833486,44.963846748986285,40.6746075406309,43.23972743469486,44.59337930990462,41.045100395323914,39.426192582166,42.297086259076075,40.26722518478899,43.40927786742309,43.62259341131002,45.25059970503361,42.12353210372143,37.98457752271074,41.063617811136155,39.74654286547064,36.36415005317516,36.0751848421081,39.52415158997453,35.63315942723936,31.88876600944478,34.836574714269375,36.63169931170832,32.476731189005044,29.4775202757149,26.23783365201346,25.284939384354306,21.248695957003285,23.73624988615116,21.90017545130091,26.13091967859293,26.119551994690216,21.517322699065794,23.092714378134588,22.69607053227313,25.890718566137103,29.801644822105775,30.733996501232156,34.935020473778756,34.19879336415808,33.938113155441755,39.58255649671492,40.871618175414675,42.872624268158326,38.182637841695446,36.71768721406264,40.215548879728715,39.26479067292875,34.11588436791709,36.370993792224255,39.775714301224696,40.6219312586447,42.60615743188698,44.24074097172624],[30.826064259009897,29.21005773707941,29.62604522877172,28.1387411750902,30.77165120404597,35.21162480280715,37.46356446881199,41.79163750873771,42.50331914490393,43.35077739414076,46.687718028117814,49.36808729971315,47.72859064179206,46.2511818809161,51.450121055125074,52.26151896769952,49.18487533949274,52.87114295525345,53.08009365056182,55.199348101566166,57.49634008602023,60.19062298843275,59.98340885153848,57.770355330332926,55.54169862820071,52.768001821149326,50.99874588230432,48.95117193296786,51.74956816716374,52.674480699477975,57.3404779635679,56.700783889521375,60.896650604599564,63.89748296159418,60.60728968674211,57.92709544197901,56.506430064031704,54.95321018098412,52.850781495173734,56.294904076484265,52.85416486536304,55.948869608195395,59.350168796480745,57.12187708959094,57.14042121374705,54.224763741497355,56.94881863180685,58.35494582435477,54.078035426541256,55.89505233070168,59.9780262172194,60.28352279733487,62.900482201827906,59.12039390718333,64.54073110797248,66.99258259328934,63.80134044029486,64.36186180253598,68.9730433083432,68.5127893641387,65.47123833167736,68.60579880214314,67.86012918339165,68.89187136011401,65.44242211651752,62.640812018599824,60.54599264788998,58.753842388120525,56.013109815977636,55.434993428846106,54.22152776556677,56.69377308990452,59.01823746789979,60.969754512343975,61.508020379973324,67.51277166700295,64.96091862017151,68.54815836047887,66.41627481527453,65.97755244698244,63.92826041570785,61.48936152982504,59.961401182678905,58.285353368534274,54.964276357070645,56.08965734382196,58.55669724095332,60.96253089582795,61.04650691895442,65.57289231291568,63.66253625057492,67.1705022578989,64.38514170891908,62.86100805082784,58.21696554352531,59.31125776600642,55.00207801521388,57.185361249359154,54.55292702195984,55.82166515681366,56.37708091574408,54.14433948198142,55.07532597593479,51.58648017690052,51.83804398744938,47.07316806836687,47.660214564047976,44.37827831598768,40.83752392268692,43.55806815866749,40.07965900964253,41.44368178553531,40.62958091718327,39.876886093744695,42.4048305641734,40.666753814644686,44.27981743828469,42.572129161821366,48.11259147802647,48.64420494470064,45.76365800771909,43.83937927795112,39.43457624364525,38.296315086727276,37.3871076862447,35.98731369341724,36.07136260782268,37.06060631473695,37.66420004820847,42.09781801545208,37.69844117105995,41.26617179001683,41.737984004275134,45.45438868320183,40.73510116548961,39.15672843748611,33.811561500594586,35.260917849518954,34.98364992225154,38.9285768108608,38.81920782615842,43.14919008699479,45.24540349725205,43.61250675701242,47.15584087307674,47.87489798204008,44.84052413883607,45.87994825851646,45.22697534329642,44.324961359915534,45.09526130186739,46.68042354367114,50.21492457863193,50.69559173807071,52.68810528498602,52.56588758218029,50.52886671829004,49.511446091647436,50.40932590859859,47.51093074160251,45.36704016842566,49.02209222663606,44.46265943364706,48.692031988783846,45.93621012333074,41.11385837333931,41.58102273286782,40.342544849781866,37.05848527130892,36.117439405966216,37.84698181151525,39.384056221674214,44.30260798396987,47.28046805101899,50.23012175857106,52.36469332097373,53.0542176269847,57.40398778668902,55.12927388183502,54.90255895722811,50.922492759519855,48.28028144348696,49.590791493948714,50.32688072120306,50.6607255284209,54.20387851313763,55.84873186805619,56.09519350231422,53.385239052340275,50.94503361146149,47.90932403504774,47.29660764801661,45.84880427661391,43.14468669792479,42.007645604726534,39.90645608173061,36.6400874025565,37.83387975805023,34.72936611433297,37.21042564226465,37.35716249914588,39.27498611164022,36.49011533804798,33.09174309440306,36.083258608696866,35.38205457103655,29.38635463047091,31.35995437883809,36.20593687671275,31.866505509447606,29.33965799169339,32.09263092896096,33.471226205733416,28.84008874751675,28.200594357083347,26.065027247541163,30.641019661213868,25.105827812489828,28.93476965520307,32.168918860107496,34.66268197015908,36.953151655961676,38.52971565275104,41.871838868321696,41.94205407256487,45.26381219472185,45.10319904572603,46.93628168253148,43.45275579336937,39.528766680148,43.10581332571823,42.961127207128015,38.19282779275675,38.40088212194534,41.22895324727789,37.472605153044874,33.745966760654156,36.34055328052753,34.8672965870963,40.79415615886319,42.947472401096405,42.91015627293997,46.97613500636786,49.599555373662916,49.41273110346989,44.59035722569161,45.48513561934538,48.4389733741034,44.88694435706921,41.575815103158845,44.46974215763935,44.13400602799979,39.74553765304071,41.88700388375379,43.662177202382644,40.582137241929075,38.36578088096729,40.89892127301191,38.51301386522863,41.34243015663583,41.51089936482401,42.624251702783134,39.55479025954703,35.72586802037192,38.32455202357871,36.629375382321534,33.46355941173672,33.141798152703544,35.93364932009525,31.889629594204923,28.561664497074194,31.258053064316577,32.46730704540628,28.249184404417132,25.562040050844157,22.986736125481634,21.116810843297834,17.690555887373513,20.657821276877556,19.841185782581096,24.26249379047046,25.33622104261159,20.6014557819607,21.492949319142408,20.183639455443892,23.45336583254421,27.40349784901487,29.286421297195997,33.274628574584646,33.39133253289325,33.31326433821143,38.848620014593,40.03086976911969,42.61771594131671,38.04000932776276,36.41525650358083,40.244944367716215,39.8140378915151,34.66416890668565,36.65888540337928,40.42913709983415,41.538670536881284,43.72673642853254,45.26410672660241],[28.299150073631417,26.30501102237276,26.23279417524367,24.590233159948532,26.774242888417966,31.561261113501878,33.63639384629293,37.978815712748926,38.853046751448,39.58148754348202,43.01225698147148,45.653578560429054,43.804809330338955,42.50323726855266,47.6691669539999,48.33521666252878,45.20193145779698,48.89952570810551,49.162613847021795,51.12721351921444,53.488312297010594,56.10140186415744,56.0018621591198,53.830471185812925,51.48549501598199,48.76282367471934,46.8692596219027,44.837848106695915,47.64115422536087,48.55937827879113,53.39471721242334,52.65343644420847,56.90903081337597,59.856257264895156,56.48157851593072,53.79517238633556,52.293643582865464,50.71206113902506,48.571812301673916,51.94574782057716,48.58043771345704,51.76431135732395,55.13000615054526,52.93010284189492,53.05994541476374,50.17627049558745,52.92695883228631,54.206195268486056,49.876184155651075,51.6893124494982,55.72554041144741,55.9798399757349,58.58337233348517,54.78679752861811,60.17757380989632,62.687852718649715,59.54846655396884,60.07020950200091,64.67392281875597,64.28714175966722,61.29046414796213,64.45910057848663,63.72400807826064,64.8639960578167,61.37506410298617,58.52039726317033,56.59683450234033,54.791754762796266,52.20708136507337,51.694096601655495,50.58895864334022,53.21032953708869,55.36665327610962,57.23199812578557,57.633085435224885,63.58615020870558,60.89590669352742,64.45779552014632,62.23700841408374,61.72817838803226,59.62491099970589,57.13295097455011,55.59299440667423,53.87945781025825,50.57290141604158,51.7460967424725,54.272353613984926,56.692396729922436,56.86745123236155,61.44025351622098,59.63573941947652,63.24440912041861,60.512704098590525,58.99213570874377,54.378093323455,55.622186548486305,51.340168174798045,53.34660406402203,50.721107338840085,52.046744288103106,52.36501671335373,50.10991809484461,50.88702715937648,47.399389103758956,47.529160363813716,42.8156025258663,43.451242900886726,40.13693232778987,36.663444885088495,39.41050812542195,35.966544119985755,37.213560493290174,36.541860615484254,35.68589903319413,38.355058042282195,36.59187503992344,40.234927284518406,38.56997109176771,44.22741306602356,44.73243384153499,41.95460426267609,40.015949131186915,35.57624719628265,34.35992253711212,33.452557222322284,31.79967935342384,31.985150801350038,32.786374302526,33.37532395922893,37.76300413294039,33.362430901063455,36.99066247548483,37.37744083130374,41.086800278823,36.31968002817117,34.750030414654404,29.39053509404838,30.87768864239286,30.705340584482556,34.64919364991214,34.709219392374756,39.05799271604337,41.12807503846911,39.40885673286826,42.896909039540645,43.641563903965235,40.61566468172916,41.689792340741576,41.018275701272316,40.27492216262894,41.07795604239864,42.87252990437365,46.41994839760515,47.192786097809716,49.05474174303059,48.72535516567768,46.59467276401856,45.46774843576578,46.28902490034285,43.278728827259386,41.027439975211614,44.70894295529182,40.124010907587056,44.32689924816308,41.54461135613585,36.776001480126254,37.20155929006818,36.06050631543721,32.72238309622705,31.740392994299103,33.428956463493144,34.978747714216496,39.884597782706244,42.870725126901775,45.84722399978982,48.01564643460381,48.773202948582146,53.07342721340549,50.746627198318485,50.510178488190306,46.50157699515757,43.89699038819892,45.19562481739229,45.949628813878455,46.2500052197802,49.81137081006931,51.454612365983515,51.74342952899365,49.074440325177136,46.616399433261634,43.572963439547166,42.9121891157918,41.510350314448225,38.7992483561698,37.7065614154913,35.694945389745484,32.35586476996997,33.674853375735594,30.665999073850884,33.123511549998675,33.55076194044109,35.4710511418464,32.55560253473749,29.34300483771144,32.58721190215073,31.832521806294167,25.763244226880143,28.08905378379882,33.09838089731943,28.698066814296563,26.39282577513801,29.455250657612922,30.74639847975229,26.171616875723004,25.966097408518937,23.538335890401946,28.543045040765872,22.78230591010825,26.261456899568724,29.80493158587055,32.33918236844198,35.17173832531463,36.40964023419028,39.33298764546724,39.08317219864975,42.25383572866147,41.766749105906065,43.67126427701346,40.425466410650166,36.16749043326993,39.59173667100874,39.680500209206095,34.88341974895034,34.783822255897505,37.55848033270832,34.08125189268048,30.24985421130886,32.4073054309371,31.033717464240063,36.811668628520216,39.12880040484732,39.27231084911965,43.27066335928011,46.0989777231976,45.69222851923924,40.843796956205175,42.07269849711399,44.96108394289662,41.254279053272576,38.14694417048123,41.267324288192114,40.93117432505227,36.573716780140145,38.971055847422434,40.87462487499781,37.81091801078026,35.74280022481578,38.41850851371184,35.89674678452825,38.55946794769173,38.38733853013547,39.62864856796596,36.88921259570866,32.710211854661885,35.151355039130266,33.80779943398614,30.642715398003574,29.851245326184173,32.96587229373189,29.287858987238263,25.50600479968731,27.94191661772248,29.67335452797352,25.718754189080457,22.654642470433124,19.791926025045978,18.561481296155044,14.887412954125988,18.380502894462907,16.861897302567613,21.057343574439685,22.045788059614893,17.219760475201607,17.766529364579362,16.420311990125658,19.46714066757934,23.600912886898243,25.213126337174252,29.135592497347897,29.203625712271386,29.427426393857576,34.969698255614816,36.36438628127865,38.91274061875976,34.2654576729147,32.94490155202666,36.90654992479583,36.27530031918882,31.328893004559752,33.626929607942515,37.47101853198414,38.547848730887786,40.76706730384735,42.20044388583167],[23.503818494487735,22.071885034664763,23.072852835142125,21.252307545902234,24.77374418533016,28.379494690794846,30.860981154936702,35.14508840523773,35.572282044417086,36.745146636908274,39.9379934550381,42.54002784645857,41.417761850190885,39.83277306301222,45.046900184522265,46.06161290666094,43.37611993590153,47.27244105019588,47.96761539792542,50.25869818827085,52.85056128696193,55.887527910882454,55.84810354782737,53.985726048528754,51.575348781021106,48.40084706654015,46.48822576356223,43.98162032755243,46.37684177900933,46.96506400297987,51.31949671536211,50.626489918278516,54.64547823344236,57.90933144849851,54.86698088772755,52.43916364692971,51.04237351993539,50.05851172626715,48.32228047192299,52.30710946804094,49.005515132717925,51.670170779833796,55.35536080616797,53.55004708013499,53.89962187213181,51.27565941812369,54.31880159806579,55.36320727986359,51.01821443394973,53.308376676655854,57.092392180333256,57.40618959356908,59.68959398562963,55.541973792279414,60.73311339411968,63.4595156604794,60.13722886739737,60.16514750928731,64.90298392195649,64.81514528859596,61.359282624036574,64.07120724577165,62.94556435750046,64.17717185953754,61.007420526255466,57.92268718314142,55.548118988656626,53.384281656840905,50.63765916129167,49.589231280983874,48.49011953968797,50.91358435977067,53.15643720258907,55.508912685222676,55.82792119761378,61.98087004087488,59.69763839340447,63.089675444989,61.21512810201771,61.171005047371054,59.03091834222373,57.03303279984702,55.24244928298398,54.051563217710566,50.79931629606935,51.38377732948404,53.81765812219328,55.78754215245846,55.85261234749898,59.97412858704089,57.93763453276895,61.29915444714493,58.274489171910204,56.550663813757026,51.8376906360594,52.68301261998714,48.33205994480826,50.60900673956943,47.89830022546404,49.01982095293861,50.07423854434811,47.97133166062744,49.32444012619348,45.99302425337097,46.9817861691301,42.032917042427556,42.97259049839192,40.11118890845849,36.19784703984042,38.406147946619555,34.54650352200022,36.00591433630516,34.63163653271101,34.31610447212154,36.58520474078927,35.26763436976835,39.01467989615708,37.82516507711038,43.303094319490874,43.251679489968296,40.26339652550993,38.01522363516238,33.906583139183745,32.491791493070906,31.220803363928116,30.501043527952497,30.17561423795192,31.879226336887204,32.8697293936755,37.65803067367505,33.908665964207636,37.81462155527245,38.6085457868694,41.7094422754939,37.12812750848162,34.918162559292334,29.943666992440576,31.050103449315653,30.60758634201452,34.61653175661038,35.02874298882072,39.687701275011804,41.108007424500336,39.22662013264161,42.83289352094076,42.94602433883183,39.787194924067464,40.35680059956572,39.6233386327521,38.188308632568585,38.93137222818801,40.006787053372655,43.63290937922024,43.64332739467594,45.69914302879615,45.931549812158,44.06547012569053,43.36778459071023,44.44869497465701,42.01355965204644,40.44099800540076,44.091139089709344,40.063541236099056,44.494876304483995,42.47804245687113,38.04477877795909,38.84999110136502,38.38748143127565,34.946524409592335,33.332204244755474,34.71144740292758,35.63041666153654,40.46224904792565,43.07915185901725,45.656852406258494,47.47120353180628,47.74441912174916,52.33905956895191,50.52424915342122,50.45466318747481,46.99665009940038,43.884833418804405,45.972838181580855,47.207075695893124,47.41706593273698,51.190775127205974,52.492919786471134,53.403645712216004,50.50219467624172,48.442382565483136,45.48031378912126,44.577456176963516,43.61120444784639,40.7788607027997,39.72955145883843,37.89038792289257,33.96433031247693,35.04185799448189,31.607125146851406,33.22552270435424,33.678942839338326,34.7950272220139,31.735184790618717,28.904806906998445,31.762354486613397,30.196703158726336,24.36227726122401,26.818447625350647,31.118647568347786,26.059536008855044,23.8978470276915,26.79881831416231,27.36746090851616,22.539945614250783,22.674251732401633,20.976041961105167,26.08997999680287,21.920255119940137,25.316151152056857,28.62773344027917,32.12437281506283,34.785876911983024,36.543799401755855,39.19875156683819,39.324819459979366,42.636561725905274,42.0056983258135,44.573517906935436,41.49190761600062,36.94020506771285,40.6357906435856,41.45244789814415,36.621730875236366,36.32412032628333,39.58480965445585,36.68026219429815,32.47771982680713,34.507185196391546,32.22018605343708,37.61873466450081,39.94847312444514,39.41238164923175,43.141893949260826,45.56698149306886,44.939757333523765,40.2780726470199,41.06118270756884,43.50373119101099,39.70693080222917,36.60345197506358,39.171252589199234,38.4104769994605,34.12216009021851,36.749606841285335,38.0978947337295,34.551022868572545,32.98347623363823,35.94555769812862,33.92799985184152,37.091698356249026,37.26666789204256,39.08610379858034,36.01033014261627,31.70504456392111,34.96866526653782,33.87840446108344,30.40413982154434,30.144529326881045,33.9795023925591,30.272270367740163,26.245487007242723,29.43979825723316,31.66044458737437,27.63765602773433,24.392945146972554,20.681639708859386,20.59472628708787,16.13830223311745,18.254751063263523,15.721540610673042,19.79941336622146,19.581283036687363,15.055296099335928,16.887415650954722,16.961467295824765,20.255755843178168,23.87370642542853,24.715344635560992,29.036976428193277,28.323910938750124,27.662132107154846,33.274467968054054,34.41815019465045,36.50759777942249,31.891230080455163,30.2333199090923,33.76120666067372,33.05654178484829,27.805618221970374,29.939324705611774,33.473383719663225,34.4489714971862,36.56758290374559,38.21839311549482],[24.850342214638925,22.8290576767604,23.020156517935213,20.244923539739347,22.903191267417117,27.171283096737515,29.00283495920037,33.48277518851789,33.82991080589675,34.35132653955355,37.651268736206035,40.5272902987048,38.736175302491056,37.061705136617746,42.27420331354407,43.172691836655595,40.05730077264614,43.71994485311374,43.98280906802329,46.24694673718483,48.60637511631975,51.50661490416711,51.32524442974103,49.279813446961846,46.998675993956795,43.98709740903593,42.24339575547446,40.02504024124534,42.759901515720884,43.748116869083475,48.1994126320341,47.7936220532555,51.948055144774415,54.89036144036926,51.7002437935074,48.97696824323259,47.774919655468345,46.247764360178216,44.321393569819584,48.18229270105939,44.62411161598715,47.362161297629584,50.963939387546134,48.94900077546798,49.08311038681625,46.35992463264044,49.31986269617179,50.56073784672439,46.29935682097301,48.54124629011427,52.45394094601162,52.90926007132423,55.26739599884635,51.20797736023432,56.59209140009296,59.069370413532255,55.67058750194554,55.99549364750609,60.69260809448989,60.32433655216222,56.977874509617756,59.88163550696103,58.988485970173116,60.00294906118089,56.689292458179175,53.811918377290176,51.50737476549596,49.6248014727211,46.82290776484159,46.16064662931661,44.951273744338096,47.44254663704129,49.735241624018514,51.757318415924715,52.29156697066516,58.347034608129235,55.934078161531566,59.52473278358124,57.54686690213767,57.30748638253976,55.395926916594306,53.22316355504841,51.80537732124792,50.43128410885905,46.979564980211634,47.744247703579056,49.987477203260084,52.34390118556343,52.179755291150116,56.627954992243374,54.56444809070161,57.98259028398386,55.182796452865524,53.71717338862717,49.078740151279725,50.15287643738143,45.85392453859106,48.21979847005534,45.734547572098,47.3590411108654,47.76957138377306,45.989975208143576,46.76241871219986,43.71691174360262,44.362039010542865,39.64507376593733,40.865730153566496,37.86083667204967,34.2425757392713,36.50503748967959,32.64584806829275,33.44964524968226,32.198875485568514,31.24514499560131,33.40983406950336,31.63890839178777,35.220054237280976,33.607474302054854,39.09038203008929,39.47305726919881,36.52943794949602,34.58244665994536,30.20621726529658,29.130479908775122,28.382741972338895,27.330879226582155,27.96104136019621,29.15802050038304,30.35001190255178,34.951378161779125,31.169966400888697,35.244438982477696,35.46184120553637,38.73970780010207,33.74791977847484,31.51495827260363,26.525672948983512,27.20850074621421,26.485484439118522,30.45589240897734,30.364678717379178,34.90760149333222,36.634488922355935,34.98144054567491,38.648833175678625,39.148519468576495,36.090224954223345,37.139610335452666,36.74627242147862,35.76621774051324,36.986520241188806,38.4385163466866,42.36252978136717,42.90308358728772,44.47148874760343,44.302379221767566,42.015507568457814,41.3020284171742,41.869992419129055,39.41253689337003,37.219849460111405,40.571312652228436,36.14283104546907,40.53832012913227,38.31591416189032,33.56701991884731,34.6259275870595,33.88814468816204,30.702651338545618,28.994202872497084,30.706734889646928,31.62549337531162,36.64635303314358,39.50246599968337,42.229312333052576,44.40240731862451,44.67533495760851,49.33001415401465,47.13106678248685,47.22626643160401,43.40955279081825,40.8191611810676,42.73233406554769,43.819637737743555,43.69607393434464,47.27953292894023,48.43418306538636,49.16288796196631,46.02818015212972,44.063339426888824,41.178260647096785,40.61207938095528,39.73107374431984,37.103302487422596,36.35434698112323,34.83421386129907,31.058414067836548,32.699236279096915,29.74705337594604,31.50990684339641,32.676125147948376,33.94631674130145,30.5707142305651,28.186919439414687,31.62492061294658,30.02763110945829,24.05498695709651,27.223041565982204,31.8528086060307,26.707014410562415,25.008445563543095,28.406683569549113,28.794514962230842,24.089219117005708,24.966455156032765,22.831563964554917,28.448241441186482,23.745972893555756,26.64507558009857,30.384397394157673,33.625890901799366,36.92481441966943,38.12273564175022,40.34017629086274,39.90722002292276,42.91956227045034,41.824004757466675,44.24675010478518,41.492475812648365,36.56578488195122,39.854550093855266,40.737069435604305,35.9291237681803,35.17936976686967,38.05155923741183,35.39392632063739,31.27806177876613,32.42029363761698,30.829610756363643,35.962747468025924,38.65419445507138,38.71943504218493,42.359357007865576,45.27521682496524,44.24857154740706,39.5159806239543,41.058148827162924,43.42179219246756,39.30724631538862,36.65819614702221,39.68816641883373,38.927858136745904,34.72413693415835,37.796557852909764,39.373584533304474,35.85759152302097,34.56097494831161,37.696875843397066,35.43838303000713,38.25044689054905,37.81986163044867,39.704212556927125,37.219778425472086,32.45748787080762,35.23844008032151,34.61582488238628,31.275438449176928,30.12992396477699,34.165451310519785,31.017481629643967,26.513211417461687,28.95137911885215,31.690230717305234,28.105807085771207,24.52025375517099,20.797860611791705,21.134827570793238,16.829551100381483,19.990527863939686,16.806083413461085,20.415355280612644,20.026673096922647,15.342298790862673,16.371699610275677,16.210765463581797,18.81783732812652,22.949810723986204,23.13346763755408,27.20413513431435,26.22350587834489,26.552489498962363,32.21642305894434,33.93708617642509,35.80207286773527,30.961742912726876,30.134265135515317,33.866264573862026,32.4603436819319,27.71903575861851,30.62704917575441,34.17271771649642,34.94560255524753,37.001214065058534,38.44701038847582],[24.973730192322172,23.601381238703127,24.838618967651726,21.186203245988402,24.943172247312347,27.856640630168094,29.602159249969535,34.08189424484218,33.50442320297558,33.93274490927356,36.83125463185592,40.01633690222988,38.655735911127586,36.25817935404308,41.479298675750776,42.88465263004689,39.93037960625331,43.45114575031103,43.6064407019749,46.44386762425044,48.656983334539206,51.98197297967718,51.537681747874416,49.59759544519808,47.60903138857418,44.22864122230272,42.900503507093056,40.49011816407489,43.08858405342038,44.16784277826678,47.81250872609334,47.99081267357984,51.873782332335566,54.84813909520791,52.04753388954618,49.31840429792715,48.62383564406032,47.21029601238915,45.61854070845592,50.07346037428595,46.23228015645061,48.27221291540049,52.14742153763561,50.325387022085394,50.288792513312515,47.74157870603581,50.85523662787087,52.2316092506634,48.19310811895645,50.89857697057824,54.69014776872075,55.44174197566424,57.52248417898114,53.23238188635891,58.59723732637435,60.92196193366423,57.17853625903255,57.33866111057338,62.10212347922444,61.6411577833125,57.85861317613468,60.37636832117875,59.29305338070921,59.97642106430298,56.96193078457694,54.1777939266429,51.17987663092748,49.25501558609419,45.97142988054543,45.04035525029571,43.53483059381735,45.57810919043165,48.2939297709946,50.6182016027043,51.538286426521516,57.73578752762349,55.896059054712204,59.52813954102056,57.9951616811734,58.17745444137788,56.60070791495215,54.898070076034614,53.66694693467238,52.748676642551914,49.158974680902936,49.378997950605694,51.16732953103027,53.40723652607364,52.697762126387914,56.88044912175699,54.363000148771214,57.356693362218564,54.4264801633347,53.04731538174932,48.391781381112,49.00698394159943,44.70060424779766,47.77091081042263,45.49225967721343,47.38130000456099,48.24682410115223,47.09987106101333,48.07208011210139,45.58787382591334,46.96705828264454,42.26224027550124,44.023827160288675,41.43464574097484,37.65029691936022,39.32270381274741,35.063282958464285,35.52078749839822,33.43680605804661,32.54951408949509,33.812816120015725,32.11688354755081,35.455685418727185,33.865374916546806,38.80079294949996,39.08199129470982,35.82732068675181,33.953495250236145,29.844737416981317,29.135654669866142,28.63234578033861,28.752646273968683,29.722848721804265,31.581851178497555,33.39372313488574,38.15523872723196,35.08975104750187,39.43747059210774,39.58643430173431,42.38508489346629,37.32295621898927,34.45583664080938,30.037164319604226,29.80352756496359,28.344698720037094,32.17443196182551,31.618898015277345,36.213075104823645,37.545988424176116,36.16133139260449,40.02853239335177,40.20720925964671,37.1790327582419,38.132969267682014,38.11172516202141,36.645120241555674,38.28082047427004,38.97808332450475,43.25799921696175,43.071166451257085,44.45327756771399,44.79521722062807,42.49712097198162,42.45438831198535,42.81964833479932,41.2206130572181,39.29113525480459,42.14277181037528,38.022703452954865,42.5687920450863,41.03901800716721,36.33549167757925,38.09669458600024,37.634245867508554,34.75699131230948,32.438595284282066,34.194402441112764,34.4165853169727,39.4485058867348,42.09689659432481,44.460199531363806,46.559786196845046,46.17857082444383,51.23501621415449,49.27924260805613,49.761898764746164,46.24481174512516,43.677353476331334,46.22473024799186,47.62034177078826,47.08213253275285,50.622176605937476,51.23118832481148,52.35552363556706,48.6965330751823,47.31463012325084,44.65242057170109,44.27286522151991,43.869105021441456,41.37778180951328,40.9237070218076,39.77864712601663,35.75377708062096,37.51337591745343,34.54522630193649,35.660993829399374,37.15114089412343,37.77251503684892,34.1824253546295,32.40299139378232,35.639592422709335,33.31567820165681,27.693600807978413,31.11282518304332,35.08051617908113,29.36613788883902,28.022222461920933,31.27298872911374,30.824999562198727,26.019479870406787,27.41649657448629,26.005401483747903,31.581516666539898,28.166057784426425,30.948984642139084,34.47035344598689,38.312559279944935,41.427805817062406,42.97145469945485,45.00486324428031,44.77596057837177,47.81545857554327,46.527797648776286,49.35687251066631,46.7915273647266,41.650405800602165,44.97902143729278,46.31933692111624,41.53741560894086,40.567252113349454,43.579680913817135,41.31986945218857,37.07660390996451,37.850119826947505,35.968949093359306,40.63841098910338,43.45743513614958,43.22626347103188,46.5701974227408,49.294865929772236,47.91831212296327,43.389023914463706,44.8019892592225,46.6834984692601,42.39666213459948,39.988862346310746,42.585084971256855,41.380699422593025,37.36434553972349,40.76456473063356,41.804278022258394,37.81602164423109,37.173220960360155,40.57289134835973,38.781429089360266,41.93208681082729,41.67659211387721,44.020075958229675,41.395335361642914,36.53504152732085,39.811357150876134,39.441147320896874,35.94991033452123,35.05160437517693,39.51595088801274,36.4063122764287,31.79828801402062,34.53107627361651,37.53088581530401,33.93758133560585,30.309761676266785,26.244676059326384,27.023411762158926,22.4716878983914,24.888940045675344,21.25480168917598,24.574792705683823,23.070104435111343,18.91245750322221,20.740555779204865,21.501687997984597,23.985590820716407,27.787851310885536,27.069437970736075,31.226610226842507,29.322717286862538,29.314323466760044,34.92337305174889,36.654735575740844,37.79151939261062,32.95942441667216,32.25504999024721,35.450932956785984,33.487961170031724,28.81642019324804,31.886390691782637,34.88409326000322,35.31897329570115,37.07552983474662,38.65003995245228],[28.753468281427942,27.38374407085618,28.511177019714726,24.810277720989163,28.290582196713064,31.413006705913407,32.966212219692224,37.48512433830012,36.81296844054809,36.96172509700597,39.82187664992973,43.160824485132565,41.56261683265974,39.007127124032145,44.19520394408791,45.62394900359504,42.44580383909781,45.755630770964665,45.5240615987806,48.4483861555396,50.39924684738557,53.652214625779976,52.994212071421046,50.857485770692314,49.10348641466844,45.85373685534448,44.78260898722127,42.620378673101904,45.451582258146914,46.80632589367084,50.37000798992677,50.808405775230014,54.71304027890357,57.50070914515405,54.674255487548805,51.76274334580611,51.250642515545636,49.47879636768992,47.76407315099674,52.10510168002662,48.0442266101737,50.096078335032594,53.8937687702002,51.86512830962007,51.542864833435345,48.87242643642129,51.85219873691988,53.519362338346106,49.6050460000134,52.213012000976235,56.1576523318464,57.03495569713775,59.21654809357622,55.0527811167556,60.57307828371384,62.65516980783052,58.84546322650346,59.290667557439086,64.00301101492477,63.25667185990096,59.5641189601467,62.21151772379779,61.312724819909825,61.72663247912492,58.64113730649302,56.08834496681017,53.02039786929565,51.344400266552434,47.89779607232779,47.21342472929904,45.529076911328175,47.44306074910009,50.35204974676323,52.48646880297937,53.70243481557948,59.83241849001911,58.02700084439283,61.8095231429974,60.27322842665183,60.35143101278759,58.97649285168043,57.165249670455836,56.194549500954004,55.13889073100024,51.43180959125807,51.79198674093348,53.41791252857001,55.9164269451181,55.00015108129306,59.363500102061735,56.76134351256331,59.6932386793116,56.89503592755138,55.700064396985915,51.103479516831364,51.73788706964736,47.479159868525194,50.722398017874,48.586920538772596,50.69512259739294,51.348476505755194,50.36404582503482,51.09886556092208,48.73320297097275,49.90613277439119,45.31142705295128,47.09346667769751,44.37766263418782,40.73790489501953,42.5267327823858,38.32986592782653,38.57855637955165,36.57956742286446,35.398527403697145,36.5369140395849,34.566812246573676,37.71917209249483,35.77149549032351,40.54611309478814,41.20529218495375,37.93418478416526,36.33203851942318,32.11722775754498,31.73189550858731,31.570879088196662,31.578406466303957,32.95684219640132,34.561414138023814,36.36594849101255,41.00164703384059,37.77741064989849,42.09623733553222,41.987971054995015,44.998147125063646,39.75516982928141,37.01245357351098,32.52016852195963,32.164103081528815,30.54627385205584,34.298395685112865,33.216355564659324,37.62039730675566,39.264918730172774,38.148677572963415,42.05508758241684,42.53106397981196,39.598137353471685,40.85124497020583,41.0274913429392,39.76749625953922,41.5864319312072,42.3893726440199,46.75285607121935,46.66215345335006,47.90805873274547,48.16462173121068,45.724395612198535,45.70205526679142,45.84658130312728,44.245964791565626,42.003442359358985,44.66990497195873,40.289960888549764,44.775858661606264,43.03170582840185,38.06181331707685,39.9183557645683,39.087184347775285,36.41498200371242,34.224822854400394,36.243179122135665,36.586966421326544,41.71813626064995,44.53930889981545,47.01682094839596,49.32005821961982,48.957818160256416,54.0250409711066,51.84223085004983,52.39037598579853,48.629965002643935,46.38074747297524,48.708866199760294,49.93234688495514,49.26752315318685,52.65916263423555,53.2420288908385,54.121098679880554,50.33487778796064,48.964348449868666,46.34407925305417,46.22897214139714,45.74260616098637,43.37549903729219,43.01197654412162,41.892024379776565,38.09667943531517,40.040179086450685,37.24570723813984,38.63147311906412,40.15764597376715,41.01087149669806,37.42409389708033,35.53597857595355,38.89013169926443,36.75804921399919,31.025256838044076,34.39695693083891,38.557203729538635,32.949535924191785,31.50028530810996,34.748486294184374,34.47922029432582,29.651823207498417,30.84673064608172,29.326974325081917,34.8315740953226,31.003612200046955,33.98242285510889,37.52893392110899,41.14329887580696,44.16445084040628,45.686895578095026,47.94081742577276,47.678598492720745,50.72760468026042,49.5295699537289,52.149518541920806,49.47802554101631,44.45295325536321,47.725221322704066,48.78885694726156,43.99619936779309,43.11676525889565,45.95551417913279,43.44631004373677,39.33304363429628,40.1440930661583,38.617049959462996,43.428059770409966,46.27567137824909,46.26349187799334,49.70249363890894,52.54694548654879,51.22344009650034,46.62875942393345,48.15508038104591,50.15484795300086,45.870432480319984,43.44643396622015,46.15438432959201,45.02645766570566,40.97343055615532,44.302160552356185,45.434946608818386,41.50864786381523,40.72995638839603,44.05592797766294,42.1715870065536,45.26988839258064,44.99756956345162,47.176214069856755,44.54364921027296,39.7568202561864,42.86553056431725,42.33853203304263,38.898374698618525,37.93500953589523,42.15148465780087,38.92722042108516,34.44667670383279,37.0148536426784,39.77328276619595,36.095922894310206,32.57035989473451,28.769328696587944,29.032461768861168,24.662662413171336,27.406616728205805,24.17554238073738,27.7132625866866,26.542448378595193,22.202136892967097,23.79020788934198,24.12942728131896,26.6252319151575,30.651723613361344,30.14934207827312,34.21478219632774,32.45040854072806,32.73709938334727,38.361949740305775,40.1817572556049,41.37305123815131,36.50853501677089,35.90253994879198,39.16847333780129,37.14626851674171,32.54569942778339,35.65016522458127,38.65841119134816,39.065786015459544,40.77587090210754,42.30200775051159],[31.34319790347202,29.59846886911679,30.132428518219605,25.913176012532844,28.6021733005024,32.12680274443639,33.0905900076756,37.66674904030402,36.90173927184355,36.429436945401925,39.30322968892389,42.869345801553024,40.67797620086111,38.014848004853086,43.111394206992784,44.4442343518891,40.873196733251234,43.85749755897597,43.10498929813051,46.03283556510729,47.65929134984069,50.75886704516804,49.88887195475679,47.54041044824118,46.017916243096245,42.9706999262247,42.182329694866866,40.3825513202263,43.54743067067662,45.32396745358507,48.876087265873366,49.65227039231559,53.6314449056444,56.066071254999194,53.14098752188984,49.94638632410296,49.68226654045771,47.35472322880086,45.47020366191751,49.647164711802496,45.31655366686154,47.374811729435415,51.04978133157047,48.792787481812944,48.16891388435648,45.397391815804696,48.238680812983034,50.181435769511936,46.436538251287196,48.974992092749495,53.0393742028693,54.08880232065012,56.33763838321143,52.319001522215245,58.00719387779544,59.77130136968282,55.884416714847255,56.673307659625046,61.302413377450456,60.21995032163152,56.657149053787975,59.48412438295212,58.84921418177937,58.96975577095624,55.76205093672531,53.492461896550346,50.45785521350265,49.12943871241246,45.58919550961109,45.33129817706721,43.4937885559488,45.39242355948431,48.39990532660618,50.167043223106575,51.67628419115195,57.65768930859579,55.78006112411185,59.759273841028126,58.155652070244926,58.04494252319094,56.95343138574367,54.99253651354715,54.43654740585625,53.214301487485166,49.337558319288604,49.86506316328925,51.23734024440802,54.12120946481863,52.931613617946546,57.589227789750936,54.94496377956319,57.873579725232354,55.32999826467442,54.4260238971849,49.95289441119729,50.774406808722034,46.61889208808065,49.96625061717792,48.08843053846293,50.64828532470293,50.71658019492884,50.0627111477059,50.255742668126054,48.198949749642345,49.04185248947962,44.73173031286989,46.723455097178885,43.91935657049067,40.60823266907175,42.42043488311511,38.31513597360495,37.98075338652312,36.11732916474278,34.358774843744904,35.29078238737131,32.882418205558515,35.738231678378966,33.31385196814205,37.91753097961197,39.095012651999944,35.89091380659538,34.68921350478532,30.301965623015587,30.374532764900678,30.798720335721853,30.565262638102457,32.807855865274156,33.928605614686816,35.86623225520599,40.21650045614748,37.030070699137106,41.37885682729488,40.74466114136867,43.875394932322486,38.355296151908156,35.66390382423415,31.31603954250174,30.50788265271612,28.57428586851946,32.13365350641643,30.37029731151794,34.50478982170286,36.49211640508372,35.7245793418241,39.64577503055495,40.536893148010094,37.7769604943115,39.51138119701185,40.04767055463458,39.226905447607194,41.45634811329488,42.557031313178506,47.11531736192946,47.46118753812707,48.27723176359732,48.19130025899523,45.40643961215296,45.39059411921528,45.05011003091011,43.48272803258221,40.690164656514405,42.975630441428585,38.26096786266382,42.62678102562236,40.70770269353612,35.47157957153296,37.60064199170383,36.442174051920325,34.16369066538218,31.947404005121662,34.286987006979935,34.606407117064386,39.813680549343566,42.826037532730595,45.40577488660566,48.03258987789402,47.656403201106976,52.72848194466034,50.192056533209495,50.90417969359876,46.835903256117625,45.150265089642005,47.25953572118047,48.30569515203363,47.318282710855996,50.45157879765146,50.86563959955382,51.51998829496606,47.50337352511901,46.279653751821314,43.79624815016475,44.07025448941477,43.665826734968064,41.5607616495561,41.49237403331904,40.67841309756865,37.15102678790209,39.52838093773873,37.201050383506086,38.711234944057665,40.72451010043126,41.72194777880588,37.98176369459086,36.41972371766416,40.12541567103369,38.05724572446592,32.32846213596013,36.06530265833323,40.432831665798275,34.88532039038459,33.711531305720335,37.22798277207951,36.92092066064326,32.227278061456175,33.77789422591212,31.961345954980118,37.70815238672428,33.45673952425409,36.15907738334678,39.94554644129471,43.30936795513408,46.704991753257815,47.84737110901363,49.84976838130985,49.20313028601733,52.02325809235207,50.535853762475284,52.975909876674514,50.53387039560676,45.33845360954528,48.268808694249444,49.29958582767267,44.587046579707994,43.427785160718656,45.90164897289471,43.552969999894316,39.608138365972216,39.77638781682421,38.8647877439209,43.41658098354633,46.488578524276036,46.957858548166485,50.31240082810829,53.50908992233616,51.92426982385966,47.31746672188652,49.390141705978834,51.34756366432882,46.88547847573384,44.80281590332943,47.83333778487662,46.74257645569707,42.777015773589504,46.34867195653762,47.66326682778072,43.816317214856234,43.16895092722716,46.562189093318295,44.495275538805,47.320432792977975,46.63791904641487,48.79492371670007,46.57827865057753,41.555655072988756,44.26722565313412,44.01532587709595,40.711497971026624,39.176312880923454,43.404443720547334,40.55529250129886,35.87116128431644,37.87062070786874,40.86493096241955,37.50377042956249,33.85712022640671,30.201370797892597,30.594292191902227,26.460784508821625,29.773681159902587,26.351924433035034,29.603585454699303,28.45888139006959,24.124077033817493,25.151881918601262,25.256204759308783,27.224944796681473,31.471560977496388,30.58781695392489,34.325946420852254,32.427730956061545,33.47912570445363,39.01565892835091,41.233312288740485,42.261342521357065,37.313611584174566,37.322208463454025,40.70118598945387,38.20520625366025,34.06950242088091,37.648717862419836,40.64438307422796,40.91071931178109,42.551911301677194,43.89343829936576],[32.74718125510286,31.308872209894577,32.253834171669745,27.616190584349198,30.67209350675043,33.45019768062963,34.22951798725292,38.724206578742894,37.392956965571976,36.73147805312789,39.289476864471276,43.049195918138665,41.03895696052098,37.922916551135295,42.914510124748524,44.54499783602223,41.04682745642,43.81632773862544,42.87956038241238,46.16652128300483,47.60062848661898,50.92862731359368,49.84093877272812,47.54727381317103,46.29744895394445,43.07703147004334,42.64649767626782,40.81949997778413,43.91323671456829,45.81401309537947,48.78153706030216,50.0125183692942,53.78786158507956,56.14400320992249,53.48420768348716,50.259151172240635,50.38306551426528,48.046537897910866,46.37429424374195,50.86367543531568,46.351020017586414,47.91566841982832,51.71034204313805,49.567224034618725,48.77850764968077,46.14513566539999,49.034288062157536,51.09575804080812,47.5728567104563,50.385868592758065,54.34211102078467,55.60592650000724,57.66203054119574,53.549186370713755,59.204335515827175,60.798014787070706,56.69732559044118,57.43159153468024,62.05427093009991,60.85430170166905,57.04735609684304,59.622555241244655,58.916311046694204,58.7430654488623,55.74545612511456,53.6210327192269,50.14143700264743,48.87793218323179,45.01884286929745,44.6802786463419,42.6164332889907,44.15715774396021,47.46386462617413,49.33503579463443,51.174578228213825,57.1657734385283,55.68500777957697,59.70267324830864,58.399686251840464,58.53541380048126,57.73105263495965,56.0678878651725,55.7107095504385,54.762861448635476,50.80546062763075,51.005639945084056,52.020589650560524,54.87423473672411,53.279052021845104,57.77837752010742,54.84085680280163,57.45143830873089,54.89888975276676,54.13107841282018,49.722703381792925,50.26650516263789,46.18303906892064,49.98596376805981,48.323974641210896,51.12313283848226,51.35725267607534,51.17374295529944,51.386114555868204,49.75076594162052,50.97567184398686,46.755633964276,49.081772385564086,46.525865084977774,43.18852811445829,44.65354629643995,40.3788227304303,39.76010026902268,37.46014471177328,35.672980952622886,35.98750598225417,33.593399267145,36.16347989610024,33.70726218376362,37.79164240387509,38.99679798987591,35.65471040825128,34.6286030827666,30.498095063036327,30.915974409042466,31.607428134582868,32.04196951632999,34.56899320503229,35.969132522026705,38.24411743878089,42.59865777158909,39.85657533689505,44.32758529703728,43.603214628249674,46.438694137577734,40.89916870557417,37.87899062098542,33.94262710679365,32.58070940485964,30.21835209848182,33.566586072794614,31.44077014797973,35.45772002722763,37.19676697419817,36.68762871664237,40.66881517537438,41.411065915746576,38.75058133886828,40.48415197569049,41.309591504633346,40.28598290442409,42.809349856138226,43.49855612010221,48.25383993499214,48.24218417725949,48.842516756640904,49.00464427691289,46.175575080544895,46.57523018817585,46.020516317149706,45.00630039049668,42.31814286767803,44.197795308177284,39.69310950811164,44.06838552078667,42.58816391634901,37.434634249164176,39.99436811572356,38.99669199261951,36.9750267907345,34.428744629150096,36.77960699773758,36.67279012214049,41.813086695378175,44.686043686760286,47.026073341337984,49.632738988461874,48.84910740004441,54.126294811287345,51.70578846207876,52.681416897447136,48.78997119692927,47.21698728564492,49.661695007737904,50.86578808045719,49.588082347843155,52.633004629531875,52.6722901418994,53.542207546068866,49.19787680519014,48.38238203789567,46.08878846005257,46.518858884895614,46.422568362093976,44.445645055186844,44.58202863562363,44.02130303045026,40.3964243358771,42.86186397896344,40.57944935711228,41.741693326831594,43.97882155712539,44.637619373865945,40.78349465205318,39.588446271576885,43.21924583510148,40.78724511127345,35.27660218436413,39.16673217103017,43.203394058339796,37.4113796255432,36.46624451562657,39.92693386621704,39.18908334911271,34.52589582840513,36.37228341085028,34.87134688522447,40.60709650952294,36.94215552600534,39.54212306098483,43.252191951549015,46.897955895803,50.262986341118385,51.53474018163464,53.3904423228556,52.796989498423216,55.598969548971304,53.959231780875285,56.60864397323239,54.30741283771498,48.96226026125639,51.872619738653405,53.166424143590085,48.47412673518421,47.156244633163624,49.671635604332856,47.576144506558556,43.569334994807285,43.47135492415898,42.45274241300793,46.707686129393416,49.869371928604004,50.23144073539041,53.399120909362146,56.53045773231957,54.71036971557766,50.23333361453699,52.30817057593625,53.980332904250666,49.412715915030276,47.527429735742174,50.35678865487739,49.03198057088783,45.20907446242958,48.97982678218109,50.024616062042334,45.95860989967279,45.69167047305487,49.22183431584529,47.38314965877405,50.33863147025924,49.68758874247309,52.091878670846334,49.8654988473338,44.75927014730906,47.67685487561164,47.60347252863512,44.23533142716852,42.75472883313933,47.22417538074228,44.444606315951695,39.66288687426949,41.76196738798797,44.94367060603254,41.60871283651169,37.90203836920337,34.05966054616282,34.71996403095292,30.44571615899222,33.48175044045288,29.80596293352987,32.88547667717377,31.23468766415281,27.17968468989783,28.491544011692568,28.99582486395932,30.877126394737456,34.96710745657264,33.60389893551737,37.32112115453742,34.94104126960117,35.899930455825604,41.33305801715098,43.597837444725904,44.18696251122436,39.28616417874731,39.46122246616906,42.52962657977183,39.67093379005492,35.72836957266513,39.42279627550986,42.07204106276387,42.11603183970985,43.54435521984358,44.9008535420248],[37.22985520627376,35.67821866728246,36.36641048643779,31.493935383245862,34.06796892061018,36.96834651534754,37.324880454722255,41.77815129285059,40.26962050945675,39.106642179546604,41.53678432285525,45.48154921643765,43.07999257642728,39.78054105587296,44.57905141813689,46.20649993978512,42.428465058657956,44.77529117934894,43.25139010849357,46.62942341869943,47.6229152557922,50.82103756156363,49.41768058390504,46.90768648936642,46.05533500787968,43.05574743873021,43.06764086251292,41.64360352111875,45.00037675273137,47.30926791190952,50.04223982745005,51.71234050249917,55.453284672327975,57.44687618546435,54.805509699801355,51.33696831467707,51.80567053644484,48.95816973536919,47.18949518669906,51.525620949793534,46.73383926046416,48.15536306238859,51.80262385986153,49.447898207625336,48.250301012396235,45.55270894059739,48.23843079335334,50.667650106533216,47.44421779302061,50.18814834014384,54.2311896361361,55.72159631270869,57.80637053463425,53.88108014103766,59.66288045268329,60.85336982856025,56.64764970052657,57.74771840709409,62.24168893590584,60.63574268742742,56.938638218014596,59.613971063442825,59.17663012659762,58.57500134917038,55.54177143887054,53.80598871407784,50.23174816627422,49.37660608490924,45.33693666904056,45.40404460373522,43.1144611813245,44.44041725090528,47.95497319392093,49.47473855571219,51.741199185539394,57.52937760332432,56.14168595797941,60.340493922781185,59.082166134860515,59.09954332299023,58.669446146205225,56.94315545990511,57.03658322733358,55.98757170146235,51.889846231351434,52.18809414389524,52.856258132170744,56.05207913650625,54.08939690749668,58.785580174599126,55.73240885097598,58.197315215043616,55.90630789703695,55.46517317341004,51.23399578408974,51.82994360431089,47.9076475866991,51.9186623061957,50.551888502939654,53.741401360980106,53.56378577085712,53.75418500581244,53.536251653019086,52.245288454025484,53.24433130876605,49.30562495718836,51.79868973720502,49.205458150757096,46.14548665082902,47.600236880742955,43.42181977585504,42.35047200021872,40.120638967812134,37.903422424408724,37.90068308549731,35.172133093068275,37.324879137112745,34.43038286874613,38.060008215065096,39.800875823528024,36.537289037971,35.983948175693065,31.879414163028244,32.80445145899211,34.02989752752836,34.39624185539122,37.5645433422301,38.618302081640046,40.982358651013996,45.058359604009055,42.38522773863246,46.81932813138725,45.667520554388965,48.578008757468524,42.86853799555621,39.92802247721252,36.20324308250989,34.456164666049794,31.81426151169456,34.85318993402613,31.988721639160623,35.56300172405014,37.59472513866966,37.54093810441684,41.47771964907491,42.589961568134754,40.16444189106016,42.30672213951188,43.488371129096,42.79006880001506,45.64784758792788,46.46222098825172,51.34884229300017,51.55284248043952,51.80597924458652,51.78372371847641,48.71370066402469,49.206674717798485,48.22897066336993,47.36228269604354,44.26278694775528,45.70080016234619,40.986728292254746,45.1756116230309,43.60230935826437,38.26817380628112,41.09307311126586,39.75435847657895,38.19116652874133,35.686882851808335,38.306019131135464,38.15543092403467,43.271333926979345,46.2694082399453,48.64149565918501,51.50754395193544,50.645304164371844,55.91524238318603,53.21575969627675,54.37328600084684,50.2572972892023,49.22700299971312,51.471065288987525,52.500455071945886,50.91821084517218,53.661285334516485,53.49288579316426,54.124874002974494,49.538593554696206,48.94045231844586,46.83847508567017,47.67950113945832,47.66356632028006,45.96860265379741,46.366536147246315,46.0512311006182,42.724981498177634,45.49129098489038,43.57069891643947,44.848430815983036,47.36562509944598,48.14191476308326,44.226888414402474,43.21120915334948,47.026338634816355,44.66996400712937,39.18516265423121,43.217219842885775,47.36816525263039,41.641056369113734,40.80792951029737,44.37005891808781,43.635862809875356,39.041256578087385,40.987432600885214,39.35541880075799,45.162168454872955,41.219332852583385,43.754679017791226,47.56415475357324,51.022809206949155,54.508104826685226,55.60741825249379,57.41405650390243,56.622210202914005,59.300193243916006,57.53405866906517,60.01571660532346,57.81663626911072,52.443918988941576,55.13096567594738,56.31370965015209,51.69233053088099,50.25606220106243,52.48390343605466,50.41787031988795,46.584185327500954,46.12601755712074,45.583680895175505,49.67715916428821,52.961010518506804,53.65759309601477,56.77397961631857,60.12046653595766,58.154974309139114,53.689286202792815,56.0875606714584,57.737405607976385,53.083737946721236,51.40551254321313,54.40305258890736,53.0989143831507,49.340058399826894,53.214229145914366,54.3457028425744,50.32152300398908,50.11424439788025,53.65864621800175,51.72751804009947,54.54127915392959,53.68757612252635,56.037477099476185,54.017553236749194,48.833391425558666,51.502956990326695,51.521799939827886,48.245463344151375,46.478772847665,50.85381569169706,48.231466731739054,43.4233691830252,45.17591894088835,48.36857996978706,45.17831668907586,41.48112901769223,37.82489259038069,38.36065220092899,34.28609870940358,37.63349933040414,34.02529855663942,37.03382120885247,35.47624008979343,31.41518919374207,32.43042241589751,32.714044420180635,34.333397183649076,38.53720996636911,37.03632654878782,40.499484018659686,38.072795567991975,39.50652243606254,44.82977168943668,47.322325750269854,47.77735851899568,42.87290144494545,43.41336846566408,46.49854180966912,43.34780344595517,39.72658937898368,43.644946559940074,46.23564032985883,46.175217991604235,47.51166599048172,48.74373939127267],[33.85410100047794,32.47837544943565,33.43137625797896,28.258993474109527,31.17555539475629,33.36437233283046,33.66351915954422,38.01433457643368,36.158604649207994,35.05203518021595,37.296590683566635,41.26773899693132,39.185428324009976,35.67958397118444,40.46983228730786,42.29794131860793,38.7678699235304,41.20717489471229,39.979147785430506,43.552700365065924,44.738136322320784,48.222889498346824,46.922421549220324,44.684497510970694,43.71081727628076,40.38460826901511,40.3398294041132,38.58811238781921,41.66691793298589,43.7909120959072,46.206248218114744,47.943249687249974,51.53411371365364,53.67617693658687,51.236704594045825,47.92396774608713,48.47837716815262,46.000194392133274,44.5115008724958,49.236327718752385,44.54233793599586,45.60633203919168,49.46775431446934,47.43247646559899,46.47854665449526,44.014567816528924,46.93745632111642,49.08395637486694,45.82645370661383,48.905193973428425,52.71081759044599,54.20182930434856,56.04027239919315,51.873207271122546,57.47653086260715,58.850719302830974,54.55496436821733,55.27193619577881,59.85024429922991,58.50797686806661,54.50247321131055,56.85732231131304,56.139213290110646,55.658285311799,52.842166131838184,50.90538972643161,47.06736501924893,45.94880436810252,41.831276346472976,41.54992058193713,39.27741474510779,40.5215741428428,44.05967024124328,45.898565440688635,48.06855775464928,53.98917899308292,52.83275265830077,56.9095803247187,55.85988214021364,56.17390215925361,55.71010710244881,54.31160841177309,54.25485460820078,53.54970145986213,49.506229225047086,49.414356846855455,50.01074341910807,52.91213101789465,50.88014986318279,55.288149660621926,52.10350317309178,54.430671074260374,51.969411395319,51.42150003157148,47.1499262738279,47.53719361475245,43.5955681804265,47.7802799432709,46.43003551157083,49.61157961120901,49.7301800450416,50.11807232417582,50.12700130159781,49.03619647050678,50.511223830309746,46.53538461257289,49.266109202730206,46.97771652499247,43.780983395631395,44.86615071169115,40.51843107646779,39.38477674797339,36.753075930430285,34.74875689287833,34.3895108490117,31.908323602571738,34.06376009668204,31.499598222238227,34.994883523375044,36.33564260217675,32.9424651940872,32.22245318488307,28.360002278488125,29.250951165163613,30.403979901446743,31.3734988875198,34.46274476297863,35.91818979197625,38.55280548131096,42.73875954825289,40.5472334947124,45.10842509711026,44.13083139675986,46.62199250061389,41.05682873946334,37.73506059815972,34.37532075724814,32.30668421886025,29.468265438137554,32.46582867996634,29.885420004129944,33.67115326346057,35.168270191628295,34.98850089539224,38.970409814940275,39.65181139937128,37.176802926034775,39.03371710947396,40.25252939810588,39.22472245565868,42.16174619473184,42.596669622236405,47.56208762364845,47.45707571992871,47.638714392398064,47.848560096603535,44.856940701015915,45.637047364328396,44.689119730396136,44.23305512516052,41.49504297202864,42.824736271878194,38.50865505004164,42.80410971372758,41.778682605751996,36.75685570981437,39.80699545665743,38.99253516850289,37.35325582560433,34.4466268367303,36.81806175397968,36.22632387036245,41.22593991562017,43.955870648877486,46.04419151017037,48.6978403930555,47.513455438983115,52.94166678701762,50.55433308671516,51.83906621818437,48.0941041421239,46.81262293102235,49.53698705119966,50.86694749904156,49.204192649267405,52.07250830921274,51.66539277115488,52.74676850360579,48.05274503515305,47.71660050687052,45.68102605092574,46.33395937879353,46.62596250599674,44.872075245868245,45.32085515302394,45.16259262371082,41.52378170199126,44.198084836210604,42.16675524534702,42.94492155968326,45.62678163294844,45.95041892927073,41.949126877204066,41.340116099212075,45.014043524789045,42.2426439639883,37.060583154697525,41.259647469426454,44.99543666116435,39.063606797226655,38.540403952896554,42.06502475947456,40.86981809902261,36.4033079907837,38.764703746761825,37.41760965244461,43.24435518406738,40.03726649305192,42.27977036186477,46.018726957433,49.83646356840663,53.42208392375065,54.5834978171676,56.04404774038402,55.28807829820491,57.917349516188686,55.935557337991696,58.75418044365322,56.78107705091997,51.178865967309484,53.87903716930001,55.52145568050969,50.927546700454066,49.27200204971801,51.68414120089378,50.04844582515999,46.045312229355666,45.328555118706745,44.399778364338005,48.12696391380379,51.460440297218426,51.898469708131394,54.774130844610006,57.97599572445349,55.77194464265099,51.475196708413684,53.809474721049995,55.129241182583065,50.39715968487781,48.92430810074017,51.69159691322765,50.15934742139813,46.576578547904795,50.66408030137541,51.53166130464218,47.33915918186852,47.54833268216366,51.237576551679346,49.544941660966835,52.44646018419478,51.58817245837938,54.257948842133096,52.292555936845545,46.98191138495911,49.896064596283644,50.21628722147453,46.874563824871856,45.15200639677118,49.920924965778,47.492319541080725,42.48710298664411,44.40788563660585,47.98044299948081,44.907149752486426,41.05876659747678,37.05802887118418,38.23408220453931,33.92749147460863,36.87936564642276,32.778778331314825,35.417014410193936,33.25418656536432,29.60342391241154,30.894618519425595,31.75701027134263,33.23842324379726,37.15317913205629,35.08002399087409,38.56426878703964,35.646602854727675,36.83222907343458,42.0210544403796,44.49993292684295,44.55711028424809,39.73698429034199,40.39633007407639,43.17944036633153,39.76469676243568,36.33522562896344,40.3478423782076,42.633359262628716,42.39480647266286,43.580737034009324,44.822505575015946],[30.51899915381536,28.843957215434383,29.463999451733258,24.51840402630559,27.233281244568097,30.043468507177636,30.55674260382926,35.04587432013705,33.7194089178009,32.873749224382394,35.48523785619804,39.26908148196084,37.0737876523153,34.01536180468931,39.00773977365831,40.55848402252314,36.99863213235053,39.78630299663222,38.90616835774291,42.13128423953015,43.64859176115597,46.98267873900461,45.98701556832262,43.762598477543875,42.389308539186054,39.12478237322018,38.60046792425273,36.730211349085636,39.823933747376785,41.736404752465425,44.79026491241207,45.98843492715166,49.80476370539862,52.12573264315577,49.416837185238066,46.17967893526023,46.28439955876098,43.94348959954077,42.286250086802944,46.824779080315096,42.34495883641139,43.89651067035893,47.72321545162397,45.65053365288237,44.98193688965909,42.409413376194934,45.3852001029776,47.30333226261976,43.73184017110095,46.63293231404838,50.5121386247485,51.75778650035075,53.7486495439156,49.572872654777335,55.18749815677185,56.84659896903331,52.75145845612836,53.395801924620415,58.04036345778259,56.933691693314714,53.09087921207244,55.65092573071653,54.91017618271005,54.8425592762208,51.82858083982079,49.62040791081604,46.21698515656231,44.902147846417314,41.13157733346306,40.809242216606094,38.822207255190754,40.51718606007618,43.69674530308203,45.54254239814581,47.261197235849764,53.26024253236784,51.68330589619057,55.68680295556974,54.33652643430912,54.462040849003365,53.625948374645574,51.97999602510322,51.621128521630645,50.713718784680204,46.7548749205903,46.9066115396879,47.9217689287839,50.76568492607462,49.19819629289414,53.719605925071896,50.83214462157263,53.52217066926542,50.986146418340056,50.214741694872956,45.80958702967587,46.46634614981367,42.387276517219995,46.09670799904986,44.462681019606755,47.361687278073305,47.40778405976173,47.294877068911866,47.37893733462519,45.843425941453305,47.067759137557694,42.93231122758949,45.3955154726866,42.92103123353484,39.66831344834575,41.01391321256062,36.7418814308428,35.90299538676369,33.58748576633294,31.6739439643799,31.934817452598644,29.49275762151538,32.063806816864194,29.631366060226316,33.815251650994576,34.97205491175302,31.654551125145222,30.612125653449326,26.425816684465033,26.86243138233591,27.66128328643077,28.081581834123615,30.861111107472627,32.1825927251092,34.580197350013066,38.858845820424236,36.33349622815735,40.85537279594401,40.03587341809467,42.718518898109494,37.17349352360872,34.031413044958505,30.297850452454444,28.689120681724955,26.21221766439933,29.520884109220003,27.44993642211445,31.54568395747999,33.17034490441412,32.61014129833685,36.596711465759086,37.30047567826381,34.643401166231634,36.40991224063408,37.301066478100715,36.36754663131213,39.01425836012406,39.79626332588059,44.608431824065384,44.801545343456745,45.231248804856314,45.24110629038599,42.31012575124353,42.70544375107203,42.02792632653838,41.05698237192425,38.30783918255619,40.106904492007196,35.63551669890484,40.019298080208216,38.66884959592087,33.60252466336236,36.284328892266956,35.48028630672189,33.50548309195391,30.76386776516355,33.063524202842565,32.777644174824786,37.88217093931832,40.70442579356912,42.989566918711255,45.608499510244194,44.77909358067907,50.06873506148831,47.6464611905216,48.674329463772004,44.83222665398135,43.30629812942739,45.85245366077589,47.12863639817789,45.75526994794023,48.79719020083162,48.73999125258371,49.74179493758859,45.3581799151333,44.63740462243553,42.386619594483435,42.79510289812202,42.85779029498779,40.92292004458424,41.17077577083684,40.79891120989873,37.11524142601566,39.684353452529585,37.55079839590318,38.510310451704704,41.04102097070457,41.556255078225036,37.60886986264185,36.76391855386778,40.49352285346799,37.92793530634921,32.58028124185909,36.729981146029324,40.685241677734496,34.88170548469672,34.23574950959108,37.83951381087786,36.91545789240079,32.41658138309378,34.65914376490923,33.08082548147548,38.972370843705924,35.43555304844943,37.666165411078545,41.47678224092975,45.15263459558165,48.823351955701064,49.870477627612374,51.35205815360574,50.54996369837025,53.186419345346344,51.27758614399678,54.00904886059223,51.968367701822395,46.418005193276045,49.15170315644826,50.698055365724464,46.08261415510985,44.49725934622592,46.94416223833833,45.20978863545137,41.193277478361686,40.63651538921241,39.670235295932436,43.58830765550398,46.86344801604589,47.321691627310585,50.3242267864218,53.55900485677544,51.51345834355005,47.11151904624765,49.432017408139195,50.94842294714575,46.27506465072259,44.650378047730726,47.56983514577772,46.199648976641534,42.49663786454785,46.47674661686559,47.54583377575768,43.49964146068347,43.451887112905446,47.07170564824644,45.213752760906075,48.023471727926506,47.12398521383875,49.6626462802101,47.72303567498405,42.42526723860916,45.227580902484966,45.48198137303167,42.17151364454156,40.394137409023784,45.085415504775625,42.6634350718531,37.661889985980295,39.542459670041396,43.08996968251656,40.04168053086307,36.18412791656027,32.21778429378152,33.41349766683247,29.150719753066973,32.22430354557596,28.13581057400163,30.797700844390352,28.880041762334283,25.06869306635171,26.19251797920402,26.917980510201932,28.41494647724817,32.400812762345204,30.55981489607094,34.11165386738674,31.481315765053658,32.69119767122977,38.008539400930765,40.45461713981744,40.85586850103615,35.95636786876781,36.48012043390285,39.52867098828261,36.39133978672136,32.75541383264535,36.72909214985545,39.32301664776217,39.27956658182413,40.6757204394773,41.9325906662426],[35.463719531193824,33.49063382009671,33.540611512239145,28.542254215823757,30.343904289540124,33.7214683312396,33.731966021495786,38.18543537605921,36.943288621804065,35.495748913485706,38.11050070226855,42.03039457367564,39.16930219402543,36.13284123502206,40.91085304576525,42.26824838739019,38.25887234924046,40.578702277724545,38.97498129516413,42.104265645392076,43.12672309987268,46.1414434150688,44.84191216951013,42.263952045430685,41.26341864234893,38.41055582965025,38.2853736993937,37.01099826262302,40.53838758675104,42.96282537981385,46.05436439541644,47.588840578224605,51.48279500184087,53.34330261044932,50.49093298284855,46.92410583173464,47.277279877228594,44.206774903406846,42.27305779032249,46.41053434314182,41.629326983998126,43.29396452694596,46.85132681273874,44.39921742806465,43.25761891392338,40.49265705402515,43.17347433462198,45.540692572014606,42.23526102599736,44.894590359871124,48.97420486270938,50.41401272625585,52.56764950818493,48.69463728739004,54.526098616417144,55.7282782908719,51.60523662173157,52.799339939412214,57.27860261779769,55.677811614368174,52.13002050092255,54.99884817000688,54.67517167768766,54.20345557835192,50.994187778299356,49.22660972739103,45.97225536407277,45.186547528129964,41.36283209637904,41.670485166134675,39.51115872719171,41.154866208803305,44.42511322300867,45.70962185796904,47.81195472571079,53.53089225800081,51.82138272960043,56.0600780239626,54.57769138144728,54.381435560487326,53.88974120142867,51.96874370161602,52.129218272229686,50.911264621678846,46.79358980603512,47.285244366304994,48.0271991964013,51.38194602839909,49.544965960764756,54.451831731712716,51.58629729872396,54.2812363712612,52.1149737569171,51.713458484529184,47.51592066126292,48.42252005985615,44.52622242460876,48.2407335068902,46.89198790463117,50.19273638915974,49.55552702381065,49.692374305819364,49.15037074494436,47.85863254564858,48.5339433605972,44.75882220715217,47.268134851966856,44.60797066215066,41.7828607543964,43.29970921287429,39.281296595886815,37.94827672603121,35.99784265996603,33.4751883978849,33.64313801561434,30.697723539490443,32.836293286863004,29.762944426164722,33.64554618797181,35.56752922637056,32.448295697930675,31.981369845847908,27.66355226084849,28.63848645312268,30.063812375060948,29.982159817869643,33.532546275948874,34.17727278846228,36.506372866589054,40.36082353568427,37.699009822941505,42.08874547811329,40.696778227353434,43.64701162604427,37.86948181307927,35.03256473185741,31.39132003365258,29.516482548626474,26.865124250510245,29.83813834930365,26.861883687161843,30.40831425383581,32.638096729426685,32.582987311683304,36.48169759861755,37.82306507887347,35.44427739139552,37.811472841250065,39.04676531780922,38.709553634152975,41.657538894561704,42.85651926113098,47.72741946718797,48.43009102452759,48.49736582860715,48.101260903120924,44.860002603804254,45.140559254532015,43.984832692436974,42.89800706940236,39.493072308720485,40.89137813130272,35.98001357053775,40.095391912132506,38.34338307053346,32.944410669705576,35.78173764325867,34.388771017408466,32.9405311637005,30.430953096292644,33.13085908434228,33.02176398433348,38.13658910057986,41.225823465479735,43.700208790607576,46.70556195772723,46.007173447416434,51.16121152275413,48.271826745432065,49.40448007535838,45.13351683863519,44.32715978033406,46.39453254593158,47.333748997345154,45.68230749198111,48.3503251955026,48.2111925054013,48.75368732727444,44.2058350122332,43.54959202006043,41.46072918497861,42.374895219078724,42.384688742918996,40.78290306347447,41.30172955230749,41.15876838781465,37.96251416646225,40.921098524445966,39.3005285479998,40.603677556578596,43.41257538100868,44.27225457218366,40.31729918362164,39.54246524225804,43.55460783992817,41.30214586639999,35.91043201482071,40.15368798614683,44.4218437751026,38.86897385114255,38.260846528663585,42.01261670302417,41.32415128273178,36.92207563680513,39.13125446861733,37.22429849939051,43.18673698591121,38.98985720542765,41.170493066364905,45.14171433948468,48.403031626230785,52.25779629823952,52.98718625234272,54.45822721361401,53.34836654176828,55.806602762952046,53.796950764012074,56.177549518726934,54.22356189875689,48.71984833178328,51.134167545130055,52.393413100262535,47.88267678202097,46.20491881459326,48.21160387507315,46.40910930644575,42.68459512045835,41.72931398025631,41.5089877334343,45.32945052819092,48.72389268291041,49.715810023731585,52.733601722452036,56.29938403811172,54.17817066581242,49.736553291763926,52.50932325417261,54.141609638191305,49.4190704195181,47.988975621310885,51.241768289263256,50.03279377564282,46.3573704694502,50.3606417024021,51.690902030338435,47.835032104720135,47.66673142979597,51.22110701960957,49.12188284447491,51.65425484188497,50.454614738355495,52.78019802912952,51.14672426010295,45.80116343430483,48.134373248364135,48.43252596715134,45.29804186219867,43.09177997940672,47.51402226833667,45.29756478858519,40.32394242956977,41.64943652644994,45.119286814593906,42.28267240446629,38.47933720230713,34.88785961839174,35.78226890156773,31.89341523875595,35.514066915334816,31.674180436855863,34.30532229245177,32.79414846234894,28.860701972386806,29.414515882956312,29.618812344899293,30.761863627911993,34.963987279568435,33.182445556798676,36.3508047283572,33.927810202069644,35.86852347136541,41.05440690682198,43.78770840391398,44.24132859619799,39.332491193077516,40.27815640200534,43.50572073343576,40.17708313047303,36.902347047551075,41.097330452354534,43.77889637429292,43.70434455306292,45.08356300478658,46.149756331924266],[36.24789470003526,34.449472806866595,34.68707459294243,29.27789658617872,31.168378443742107,33.8163819878575,33.476595018104014,37.76177735187021,35.98067330758072,34.204136858730415,36.47343259622985,40.569704318929794,37.77216629761493,34.329316230094236,38.908848229443244,40.50770239017984,36.54825568150854,38.57209745825191,36.74470439053698,40.20843077098419,41.017997673047184,44.25227605741458,42.74963790834471,40.27079095084124,39.54019013309667,36.51443738476434,36.77200943985833,35.50147997166849,38.94197859244626,41.52167121510431,44.00393310650582,46.02375041937541,49.699177822784144,51.40762601359118,48.82021743893879,45.21676979889148,45.99217077398499,42.891016129029154,41.20082869019668,45.64569606661002,40.7186756699692,41.814335708792626,45.48070288528705,43.19772466965577,41.9301759120051,39.37868381864748,42.129535638948454,44.538463797411,41.49690093410889,44.47647583160993,48.360211341596276,50.017150056448514,51.91314111310545,47.94356841016529,53.68167682513698,54.71056475486545,50.38086585678943,51.48100774306587,55.93252787552821,54.24339783751631,50.438242243118616,53.022392192667795,52.6272141264714,51.87070855378462,48.8867354591442,47.26806879246021,43.592089910941596,42.89548806532109,38.787931428885365,39.07375079085872,36.702539537749594,38.015311481536386,41.53914494570936,42.86228250168489,45.28511063430619,50.966256833471235,49.63655355226779,53.9048138251911,52.71972543959904,52.76664110572553,52.58908388785949,50.99613554980085,51.392079330072164,50.48146248534379,46.30818800081399,46.43473403397111,46.769717187031375,50.090275133795245,47.82733490967575,52.570569699615454,49.43464535100358,51.816088199725144,49.692492338089714,49.46971581662431,45.391763450778406,46.08308030413685,42.315898221672036,46.429775682646735,45.36021699396269,48.965240846343,48.349662062264315,49.0241463417271,48.399245802865735,47.619927061781055,48.65196849728198,45.06399812290463,47.949358462953825,45.59882523181519,42.8331348287104,43.94064600274537,39.818853221852166,38.091355861358196,35.745916602989944,33.13569390373262,32.611164880848975,29.671464202689457,31.41178609311792,28.316432848714655,31.561708427076912,33.537920445219775,30.340336872236286,30.135913741547075,26.152779300568046,27.556234839884823,29.349339669484173,29.914802634919766,33.84213920859045,34.67912916654457,37.357364922546616,41.109171294639026,39.02480743158646,43.49988932961825,41.984518079412126,44.53161104291948,38.80452677687726,35.6285841413331,32.5736961983886,30.057915131124844,26.9640771083382,29.59007289144755,26.26161053447012,29.60190872583799,31.474529392261807,31.717710690051124,35.617126633905116,36.79328957887688,34.57918088078979,36.96811690151827,38.54785717728108,38.09418822879637,41.38393888744608,42.23152151313113,47.27675606377389,47.76261429332615,47.494643734927855,47.239515464184954,43.909805256967154,44.6013598133932,43.14080045021037,42.65381796985351,39.33554558391502,40.22304667388557,35.60264971575638,39.66010745887301,38.45885411288879,33.28044937950851,36.58833683825894,35.48646482193277,34.355185078367654,31.464532591904973,34.09360781284926,33.456389617080184,38.39199327133325,41.27336363902446,43.44521368862252,46.421323407529606,45.28636634715457,50.60871686883911,47.84176746371708,49.27233790013851,45.23807508899782,44.60519451704257,47.03186072506662,48.152622862172315,46.16458471759238,48.70555932915693,48.116534472518296,48.94729985267299,44.06429609669392,43.91038109776719,42.07505201315023,43.13821892060263,43.544635052552906,42.115739741188996,42.88723045668993,43.08494263628885,39.80323134810425,42.85674402101498,41.3631631386487,42.23360116940128,45.36242437850235,45.83617827804963,41.77135461702746,41.504006053823666,45.46027435129989,42.84041614610905,37.77537629600004,42.228415195440554,46.135748552088224,40.41593202151233,40.14897992532751,43.88862625300239,42.74967019732913,38.49663454596244,41.113447811547104,39.447280317178446,45.43469579827791,41.80818106212425,43.73237855676874,47.66472440782369,51.17485776891802,55.1325025014969,55.87097535208848,57.03152987784023,55.87476187875933,58.22808759478493,55.957100096639024,58.55958617326614,56.867606705836614,51.15637295515488,53.45583054062466,55.07362158105562,50.63915495786075,48.70331666969993,50.70888483888333,49.32120144956513,45.55226730791958,44.15744007838988,43.854516961054365,47.207531806189465,50.71637058696169,51.649479369919,54.39199931446065,57.93146981361508,55.4875252467599,51.23508219845688,54.11953685388753,55.40107392699624,50.55804602763523,49.45506541270854,52.55138199058907,51.11715844280146,47.66102132510531,51.91814064785176,53.01360001673878,49.002277538974965,49.27854831176801,52.97542986586202,51.07782062595162,53.64040161472035,52.35292056430435,54.95394883481386,53.45683898482168,47.9734867285413,50.42320336187653,51.03197523648412,47.87978416653143,45.60182092845946,50.320058144448865,48.33165324792346,43.196302708935534,44.51661875522416,48.29869461698501,45.61664970402321,41.710347199734834,37.91590645044461,39.26015221671927,35.254386722223614,38.63785450498772,34.43650058280676,36.73600632723951,34.70361950678756,31.152292131198614,31.86172864659576,32.490359131166706,33.40616388013079,37.37762843754017,34.98576565496951,38.012064388520756,35.0639531695992,37.02352411228368,41.984038393268754,44.82851480034614,44.77189924743547,39.96968297781269,41.24431343448007,44.14530194096614,40.369718880808,37.49494640127008,41.883594125973936,44.1935107862753,43.86624278535841,45.01073823679391,46.01106206302437],[31.620680566062536,29.718715394321006,29.847102095454673,24.33910870002887,26.221382945953575,28.78102452577581,28.475827151609437,32.796036842305455,31.126726095155476,29.528800566646538,31.95530006554349,35.963292006145004,33.275835431698624,29.992680165894193,34.759910081487476,36.302248339560215,32.47504321311292,34.868102421489304,33.557063985318145,36.9144160346042,38.164002064158886,41.52368016996364,40.35676914974511,38.10980745528448,36.936142526485234,33.6714425214783,33.48149898193189,31.83161044931806,35.0872925981967,37.3743640077951,40.12975598785491,41.79089262797884,45.54637905143223,47.51536537023429,44.860004855552,41.419435501741326,41.91272907090244,39.19372353022448,37.586024362906194,42.22277863198416,37.52419431997071,38.72699899228687,42.5585952980471,40.49916740020415,39.66746364529973,37.20958371056625,40.212679790395576,42.205470714780056,38.8585833573534,41.97864660828083,45.74140341261297,47.204324713299194,49.0294997529305,44.84412147837699,50.46733456444276,51.87386422825684,47.62299662815524,48.35617604640486,52.943020619139936,51.65367797408406,47.72156204063004,50.220722180252814,49.57917865465794,49.257441523318086,46.27765503069016,44.26602968369144,40.71894624089831,39.63949370232185,35.733962224030996,35.704714730718116,33.56936022694124,35.206431015473214,38.467802578096105,40.062822371570725,42.041417787295046,47.91765733269379,46.424408986678635,50.55164108759643,49.285653907784216,49.418438914744975,48.916354053440074,47.382414560794075,47.42498751348617,46.626007376010584,42.544115301535065,42.54875970226823,43.158398439761406,46.21329049118739,44.255598872819846,48.88183867755642,45.86672336592638,48.44348032187022,46.11645484636145,45.631152110602734,41.396569513595736,42.14999734554888,38.23951432881677,42.13473620435009,40.86051244546465,44.27587617594622,43.80582088549556,44.267154384972386,43.85359329728407,42.90393302157689,44.11289112811111,40.380332310158394,43.274128209346,41.02253697735244,38.12603052610873,39.12904500248381,34.93004679361491,33.31801154497839,30.883566179166202,28.45391337140446,28.0931543171455,25.3326224637471,27.41745095859088,24.664741049973887,28.415521697811325,29.920709478784694,26.644456487286018,26.042638534148068,21.930567167051503,22.99280644076459,24.528097950415997,25.16309363868379,28.903083905044305,29.9250005720056,32.669871134829755,36.56431921825746,34.63016696164912,39.180720811708994,37.89568388188313,40.25260537385298,34.63431287728232,31.269181810378377,28.25246020646035,25.756144017692655,22.717187660495266,25.560346330485626,22.83573738665848,26.652747958277942,28.18397037590112,28.010859146401643,31.98678210514688,32.83671856849758,30.423360765069898,32.544574612581954,33.930971041287336,33.30940349301826,36.487254381244924,37.32134970670617,42.33759011908344,42.84064025026504,42.67557286664726,42.425567248162,39.17200677313657,39.79894366257865,38.536531254064954,37.983986213493004,34.90717031841004,36.05984232248022,31.60593866055109,35.844415069723816,34.83351885900907,29.854166742163102,33.08660155940574,32.42219235178831,30.98153652290729,27.868410924581948,30.2527445393487,29.46687429205903,34.41198388228016,37.16259101994738,39.26737288117948,42.06806703802123,40.94237215020431,46.30873279931014,43.74403011235358,45.08763661306848,41.256775696591134,40.24830599043158,42.92555285766908,44.244235815246014,42.403644950243695,45.17955071880643,44.66883852369889,45.80298566377501,41.056504324529634,40.81615345664723,38.86032379050084,39.59171749830926,40.07730200071949,38.47215128463115,39.14636585353268,39.32391653012875,35.77566189201028,38.69778699180923,37.076281812447185,37.68126178016758,40.858381239291525,41.120455982883335,37.026075741250146,36.94542492774563,40.83758569182968,38.05723227779271,33.15135300672381,37.69980579662274,41.43172969015452,35.6893577657679,35.607916806533865,39.36553326732747,38.071339543270334,33.951252574346356,36.806366983751666,35.187559552151384,41.194090533701434,37.896302634987265,39.54760009128001,43.46048153225705,47.09853576000797,51.182634565046655,51.86639559077925,52.767232188758065,51.590017536774866,53.89213024334887,51.50204401714375,54.28416296682205,52.72941076482173,46.89475373993049,49.20245515113887,51.09716220271397,46.690142230690874,44.628630176050486,46.776707726965256,45.665630808506926,41.77987278208421,40.27019098432021,39.67209723142566,42.843553776988244,46.353570847073605,47.1247051924895,49.75980455282193,53.223500627297796,50.700482516534805,46.50953638657593,49.36161671240221,50.52527310012112,45.661149900376174,44.636079499495885,47.678597871302756,46.192688800632965,42.80537057804482,47.15028357488156,48.19801687625391,44.18704240768249,44.60621719870825,48.348738422143505,46.51081041005154,49.04341352954588,47.70149302297005,50.442075829726406,49.0358079300429,43.47920464684976,45.99703762040939,46.80350984064726,43.651827991814855,41.34505926209182,46.28355036551688,44.479730372971396,39.22455558230443,40.598039234814685,44.63890149837655,42.09981166972332,38.10290913836972,34.12353037667298,35.96201950467311,31.887081418178507,35.04754622273846,30.527880302313907,32.491079408140166,30.182228815966234,26.911567620795545,27.643817044565598,28.603758774252395,29.349903675251564,33.110438878575465,30.398748055163807,33.437892776196456,30.288332634573386,32.14120675869256,37.05885283466069,39.8983901316308,39.76856596014806,34.970572895512646,36.30224882499176,39.15805155465153,35.33958436277377,32.531934377170145,36.99460974474127,39.286526934173466,38.95456680853944,40.13046402149102,41.132475658181846],[32.513205476921,30.21755996995227,29.732507413026397,24.591823418895775,25.715337701654388,29.33140199535026,29.025476516240673,33.439061854422164,32.41137073631835,30.789183079016087,33.56320326179358,37.41062512756388,34.25907758119536,31.490446724891292,36.27698222378994,37.41213663998135,33.308189930344724,35.736210125217205,34.30189940614651,37.20965352298782,38.444213754870894,41.402826139123434,40.328980380325426,37.839947388199676,36.53351710708886,33.658599844140774,33.24492559731266,31.906933277325784,35.45980088602148,37.844839269143016,41.26193413291262,42.57390337372548,46.58297661246402,48.44058115109361,45.437135507724825,41.87861425394941,42.05733221527785,39.00204113911821,37.01402570145706,41.13693529968096,36.458123329417944,38.29151327269642,41.87719964238278,39.491268500835204,38.604945474993094,35.87134103304267,38.69396367330798,40.79486522657193,37.30069208234415,40.01673862781958,44.03786266488483,45.371061087458486,47.50126773550515,43.53683356171123,49.335184883494236,50.71668674214586,46.66506371150587,47.72437476319569,52.2561081010226,50.855341292317405,47.317856792187335,50.24274628913656,49.87048891977757,49.6767855923476,46.37594255905567,44.409417542183945,41.41793287268483,40.51071992477531,36.9372294512664,37.27680092890651,35.32157136024093,37.30934191875628,40.2785838916478,41.51015647510555,43.30136662048843,49.035026075097484,47.05907846881975,51.25131164875826,49.60398458122331,49.323785909040204,48.66729764743998,46.67520747011486,46.743136221365845,45.495417595822744,41.39797993592933,41.92716110394348,42.80849462986063,46.14427560882698,44.50170029956004,49.47817654878194,46.78580497722875,49.69922097388354,47.54234050660632,47.069779122113985,42.8586182259716,44.00196443360302,40.098478197478876,43.507596459090365,42.11871933031608,45.43952769921188,44.52041134865004,44.5851835371581,43.88235397726708,42.58181889831042,43.1403283950557,39.45252074852571,42.03445775806134,39.42106827599281,36.72999085896324,38.18065807932597,34.24629760234096,32.70082214590274,30.896127444564417,28.200615780574278,28.51145412772012,25.482053005770435,27.71945450861548,24.67455554756152,28.929167641909416,30.764308115360055,27.743573385386817,27.194202466037797,22.709958778533682,23.59930348437556,25.10441264393076,24.73193153739725,28.554782977923118,28.96285245206419,31.343572723128656,35.0694796624528,32.58263574868149,36.99359151794386,35.50374736024602,38.325676395312875,32.5463314720234,29.64165245082314,26.17383800582046,24.096987081366006,21.400960642218422,24.389403459666838,21.580682926151407,25.334729396585413,27.50806062643639,27.274377361103248,31.179307188528583,32.52300191405169,30.10881702184283,32.529606464093796,33.755490550606815,33.621509797249644,36.6212245196573,38.071109193085015,42.91315645509024,43.98039983921539,43.907405736784305,43.24275183812717,39.90619092283262,40.040074937597,38.80085630836754,37.58835245501809,34.06824907646354,35.49676307246895,30.544894612566523,34.687680674802905,32.96544174235143,27.633163406928112,30.528199322788247,29.375676321715105,27.900426563546514,25.186773185189296,27.823725003472482,27.588947838902094,32.69577564641824,35.76705658197419,38.248332356005264,41.27311003901618,40.648184655044986,45.754508254418376,42.83431396901621,43.94832550546441,39.69096970381815,38.896396921536784,41.00769218036384,42.00891729085685,40.326120505042525,43.03957097434619,42.89307513279716,43.5755217173977,39.06355368519759,38.39962164668445,36.290293267219894,37.11515909534302,37.25485431466901,35.661120384598576,36.270163432340816,36.313402340245304,33.06350249454959,36.12822806199851,34.70586979437528,35.818353102248395,38.93488850175383,39.68730057134868,35.67776842745783,35.276095083941215,39.3888288892932,37.087666752279205,31.930600443552276,36.39891245049961,40.588832487893185,35.1689133171622,34.88592191721425,38.76156251413121,37.966618622519675,33.84113156907328,36.40679040292572,34.3719871592264,40.41677768227448,36.32435518566178,38.035645706018585,42.08843213028197,45.29375393562141,49.482606150390694,49.91461053336069,50.94567921394109,49.58285298401918,51.82648756377021,49.529788445383566,51.96268794544087,50.31294656053435,44.620452917384455,46.805284814731415,48.33026580072717,43.94057497048142,41.96568745262217,43.87303590344566,42.501942663796584,38.795476587045144,37.30746738282944,37.17355245898408,40.59583098454536,44.09682728320839,45.22342919724581,48.059010315905795,51.74498061744092,49.41527056887125,45.06086981753772,48.11897154774141,49.61793506468668,44.82379577369896,43.68079967115036,47.067441668187435,45.87446166673439,42.347148847492356,46.514142926090805,47.92735432964837,44.19389133541069,44.19533190958037,47.78466722832609,45.63254774715537,47.93324634548119,46.43406936381072,48.85211674702703,47.58346463768008,42.07621965091737,44.197924003662465,44.86303724011963,41.845582012887796,39.283381365784905,43.893410092072834,42.12930895292325,36.96238042309191,37.977310857717285,41.84029649460091,39.389631288738094,35.4613534242311,31.810688199726055,33.32034124384095,29.5535947643014,33.18404164147167,28.97960387127676,31.058906517855917,29.377468225255075,25.79662655738133,26.00280490264074,26.383579953354054,26.995388185600955,31.01993267681909,28.749117880655167,31.64439377861387,29.047302865671004,31.356598813342398,36.351858982527766,39.282023230214946,39.62172063340622,34.749116433727075,36.08974876905226,39.3390983221224,35.8089947006356,32.924739911507125,37.362578988115935,40.03522888635907,39.91758740170639,41.304217880401204,42.226946252052606],[36.61432374000392,34.30675431021346,33.663166823727494,28.339450436547605,29.001132867294444,32.42609103691387,31.603791411473043,35.82048967998887,34.51535879195061,32.308461153692626,34.82398254326964,38.8327251962622,35.29604018968708,32.31750052711737,36.76532504760813,37.90259340914762,33.542065875733066,35.399052478790594,33.269938898783124,36.294276387379384,36.994824299449164,39.82944058449808,38.38707311893786,35.68459859109477,34.85458695793684,32.21411927808519,32.37734275033842,31.530754314103145,35.32976491214104,38.18040071127873,41.20700566350142,43.06461323146019,46.96262663731817,48.377709616352725,45.45393814978682,41.64813216554508,42.28459830814483,38.677921280288935,36.649774506076746,40.636536710302295,35.648500065184805,37.18450487656304,40.61310118101003,38.044597386915044,36.69632292281012,33.95121750862779,36.57693354376426,39.06716425189363,35.972303050558786,38.70366758064518,42.741157841636095,44.367788350436754,46.44654416159293,42.66923336972969,48.55293228904065,49.465302469243085,45.266765194495115,46.68886041913911,51.06200038726052,49.22740074165133,45.760563197600256,48.73644387169299,48.64033218381532,47.95961381167837,44.655922891637324,43.131812493599966,40.00323032688804,39.56739183310038,35.7995659408621,36.60938009324799,34.40985136512447,36.14653417180998,39.31258019759414,40.13049507576602,42.400263679153184,47.87215600778356,46.038085630399834,50.40993009257015,48.85670823710063,48.48814221470654,48.29787149323492,46.31908859038545,46.93352158771352,45.661523809000556,41.43358884316326,41.97637056001102,42.37579505486979,46.058439444168684,43.947257187901215,49.085488953592915,46.252317286032316,48.96051570348008,47.11468869592382,47.027309990544225,43.06968527505455,44.250500824237854,40.588636974512504,44.22486631209002,43.224012197112195,46.98715064757102,45.61741777988174,46.19927859303425,45.00974257474034,44.2235683106058,44.619085501557606,41.34539178796629,44.1740569726503,41.65874069839486,39.330913777689254,40.61857225659998,36.8400818078972,34.730377991356065,32.947097554943745,29.818465351862542,29.594649938753054,26.251522849437677,27.843009424084748,24.316409776213952,27.845028318159827,30.310245715905975,27.43556879224441,27.51169878675866,23.242877664771722,24.80346560155988,26.959667046330477,26.680582513214837,31.1845968548336,31.258525396870315,33.77325080114754,37.077822077739704,34.909260413760606,39.21459003519207,37.25395391606817,39.96834242398607,34.132473153581664,31.27675360871169,28.34605528956897,25.691867742178978,22.630206754097205,25.023702380571013,21.263919104573404,24.333110156302677,26.749888854229233,27.1432427110448,30.92800711562075,32.649596172051226,30.593930937072322,33.4485396884256,35.13605023776402,35.34765144239641,38.73400423548539,40.21829693101188,45.16412181674547,46.41256507991778,45.89774738721539,45.05877315414107,41.48580074466256,41.80364897595799,40.04649586877175,39.15523281754689,35.26257918242354,36.032341178327165,30.99969304353123,34.84245927264017,33.20051946711755,27.826083865038623,31.136111701801173,29.733248551307376,28.93075230582406,26.19011162600603,29.036998737736642,28.57699149226609,33.48392310235332,36.579911261882685,38.97442139695213,42.23833018399247,41.429203242770406,46.504762404883664,43.34015602300503,44.71960234744545,40.33439956532347,40.20014258489192,42.1739997873834,43.035206018155165,40.931695924325176,43.25411614808641,42.743421764340624,43.26103375487202,38.413970706437496,38.14924523367113,36.3583558379307,37.673471534174546,38.04350803518684,36.84067298366809,37.81559559807234,38.25065965110181,35.345974420416034,38.696668157957,37.721474505748844,38.78013725568949,42.22835028649303,42.959931530497386,38.92881812171162,38.87494198067942,43.07592843417846,40.7727490682907,35.84043326737009,40.42024486773499,44.54561108017714,39.21673662306151,39.13793871963516,43.04943603092238,42.137356154533826,38.16350571520688,40.89953173080957,38.84844314670959,44.89858321113118,40.78189419256297,42.336062980707474,46.42219533306429,49.507673178926055,53.82460150104682,54.08190898103139,54.937958226224154,53.37378718742994,55.43320498788741,52.93905062736035,55.25744234673855,53.82720562811362,48.09231178251809,49.984388904790485,51.5182635332016,47.281473812075234,45.11768987459974,46.70932324498035,45.553123147176414,42.05726913989168,40.06485743409508,40.38082118275274,43.41373959852177,47.02489104420342,48.454549055226344,51.11073723848971,54.968275949832254,52.41026099185202,48.18091823890551,51.56670380237014,52.91811219628772,48.05840258542015,47.2389981542915,50.707163663539376,49.48515136895292,46.12692899500854,50.42270375316772,51.84115935683958,48.1446265740669,48.32884301254252,51.94136907344564,49.77986594767541,51.92842738404669,50.215475926303405,52.644637291174625,51.63930929495679,46.07043923512,47.963581117784614,48.81962805597624,45.91881746019441,43.093521912355605,47.657729200159366,46.15104423186893,40.968583096139014,41.639266044130814,45.579780821877364,43.356072938535725,39.45151851663114,35.959661707344,37.48582750485869,33.90834825458527,37.66655554762923,33.4752571508844,35.36774259655704,33.6455848295337,30.24083436141983,30.25389552725156,30.563208420383766,30.85601310757991,34.80802248706324,32.26902902220532,34.78642268041071,32.04695433808882,34.77663594058095,39.485417268636546,42.625632056925284,42.68436283719071,37.92500894917,39.69372397928868,42.82005309050832,38.94143698779782,36.53272819913025,41.15964874194592,43.639368560712406,43.3534141817758,44.573326841528704,45.33978487488706],[36.00723933701284,33.64899398848244,32.832986202503456,27.35438106799422,27.672366246791544,30.840267328868265,29.668751416542527,33.73300211991771,32.300622945351115,29.81230326689802,32.228375901450875,36.26873483742433,32.57047668234296,29.557727781467104,33.874725191208825,34.98651009297374,30.568020389228668,32.29417480265441,30.084243548425295,33.14806811938968,33.828434919934196,36.728535683528875,35.29084854218022,32.656082155878224,31.806270020295116,29.08317653217806,29.31301920175219,28.482750102748508,32.29065255954942,35.23758353789595,38.146524177975785,40.13781093848639,43.99437049918407,45.305862326485986,42.41668723643187,38.57487769274405,39.34089061157583,35.676220758586695,33.72211709018477,37.83294069373719,32.804899403255504,34.149449719749725,37.63928852973356,35.16704687878004,33.86931113805164,31.236445945652772,33.97150521498643,36.35898883618801,33.30527411486209,36.22638784353355,40.13960097437066,41.829526641474985,43.77152541987835,39.909273544123,45.74131858841167,46.646040818260374,42.37773859643036,43.710212909293034,48.096314433103124,46.30114888277878,42.72324657898173,45.615952418378036,45.480924053893304,44.79635336742184,41.529579934290375,39.98843523708384,36.80548863784712,36.381355691157,32.608300277911304,33.48093409148849,31.2842443452862,33.06544363570621,36.18043664626963,36.945131846000365,39.21896975305315,44.671570132422936,42.85527066995102,47.23525057494689,45.722957185019624,45.406236677877594,45.29822537017131,43.425394753865014,44.134745475701955,42.98337331582116,38.734870734743026,39.133254353173385,39.38688654858141,43.0756590413436,40.844127689212236,45.97057577596595,43.10402321170322,45.78884283071522,43.99077506847789,43.971885579603025,40.08023699214738,41.30702549536533,37.72312085007373,41.37004102611714,40.50119365668218,44.42947581165048,42.88311360660256,43.69562903207959,42.34719310477737,41.82213358647044,42.29784405542975,39.19820489339395,42.231930969736666,39.897376171502266,37.705540667622785,38.760469533133985,35.02234872617054,32.59709767335591,30.734616476937152,27.449943220402318,26.93118681106311,23.514906407472488,24.886662771812674,21.293477180207496,24.66951372688508,27.19601423447184,24.361040542556964,24.59339542575317,20.419094338415324,22.22067738264549,24.65856524592307,24.523148320813753,29.360647468739884,29.36250336661028,32.04420819436294,35.17169370285631,33.39738957303935,37.703141540677215,35.62278569759077,38.060694399520415,32.28593969390625,29.26614702559479,26.789948032226388,23.699839591240494,20.388668527108155,22.51165740173601,18.55208880388074,21.555850734084665,23.792379305750643,24.3039200273779,28.079350287078935,29.7666362655306,27.810762880984427,30.74851255991014,32.62736784596191,32.93359394004299,36.511049456339,37.97339347934003,42.95908628522615,44.313832613715896,43.5581602921184,42.625405816233254,38.95782382805947,39.38663331735152,37.413050978088194,36.74850192851895,32.815154270263044,33.30130265603653,28.385055853123585,32.176868854559345,30.827094185815096,25.621401635252035,29.21097684948117,28.075772124746297,27.475823183575706,24.468979420773426,27.231022016319777,26.426683547379213,31.190506143365834,34.16732182719954,36.41120963628491,39.68459076269126,38.70778111562069,43.819684632399635,40.67853475312952,42.20005988295416,37.92985412397026,37.93453012605289,40.075570604058484,41.03880516514701,38.74537012067641,40.99936177515571,40.25407174846163,40.96706855983813,35.9699690084386,35.965450425234856,34.312637065457565,35.67533639711261,36.316847746048765,35.23247792551363,36.38560142261133,37.08866843752147,34.16776007926643,37.59276190836231,36.80305842147218,37.567819868265794,41.2850786574114,41.795174966011224,37.72730095886771,38.084167964275245,42.27090120111627,39.814824470729235,35.19349144551622,39.912737710670974,43.81522375892497,38.53456341540667,38.748121498790084,42.67271559141226,41.53901726281629,37.7938182160749,40.82156209670089,38.829318837264914,44.86807252795519,41.05402786248444,42.28889144933261,46.36151790984624,49.49666027529416,53.97689253113336,54.10172823710962,54.62883633525909,52.93536957036078,54.836503991254126,52.10914203870697,54.526307786610694,53.36030317894908,47.489122272066,49.20253815355775,51.00067117686351,46.88539126957128,44.4872235689326,46.00827884646653,45.24381122032017,41.77508102459094,39.35060610554477,39.6867462224398,42.28405692206861,45.97272697964675,47.44563036686398,49.874881114291135,53.76581346096586,50.97519769357518,46.89855763771141,50.461700426294,51.590264173269624,46.67183165062672,46.14682586316885,49.59528679211744,48.29584752072947,45.12773128983383,49.578059383281285,50.932639938549165,47.25659277681751,47.70107492105022,51.36343241483678,49.27119714935921,51.30755521655021,49.42435575124502,51.99301144814102,51.22383355064865,45.56387308282294,47.38560833596731,48.53397476484124,45.70342347441069,42.7061307741136,47.436707803529096,46.23991867715868,40.95395142706517,41.470013946882396,45.67883651672837,43.70708207907299,39.744745487404444,36.189234863190975,38.13175959549983,34.60231847876012,38.228567380379715,33.799651618609346,35.29812415699001,33.31670929284567,30.277730892468053,30.1991584199472,30.747611100082914,30.70333649782351,34.413934617331925,31.41632884608433,33.682642039955205,30.6553656587588,33.56834795723091,38.01802037153893,41.28658098882653,41.057324481206976,36.41155244566091,38.51914314168998,41.48711849250581,37.33796727770432,35.341357731724784,40.12528193885793,42.419824993404106,42.00466614443151,43.112432595207764,43.763023200804575],[33.81944751213447,31.18647214175787,29.94625804619046,24.79021613657264,24.639626989371028,28.552882367012277,27.544297929681463,31.721093720531634,30.891107131787784,28.672082125926895,31.473078729717187,35.28002661834756,31.449467663858393,28.97680407276332,33.474619433826646,34.260719266905646,29.816486154219408,31.9254181112153,30.12803224722003,32.73494527885897,33.791803024968736,36.46842506059042,35.39529131431273,32.776334566473246,31.45378170196003,28.86209298603872,28.494276774756596,27.56300106430455,31.406208593912208,34.118495443170346,37.756925015521475,39.137583813798706,43.235876336382965,44.73097756631769,41.54265400796067,37.78694354507146,38.031419840424206,34.484906920339235,32.29252717177314,36.13113215522895,31.335808174419412,33.32930036576157,36.746172427918644,34.19395705606668,33.222533794540766,30.430370295871437,33.196287354033196,35.33092647753438,31.887374427695164,34.543944245359306,38.59758463684487,39.99720393013117,42.16098141976136,38.30932593834024,44.190872101104524,45.406193601317085,41.38223679014002,42.66973284179274,47.12129510438846,45.57445423426537,42.22209931905128,45.3667018510365,45.225178593528135,44.99940503564414,41.51480948782372,39.68355670890263,37.0382449479614,36.404071995998486,33.06451517947139,33.882679837685586,32.02860318797581,34.26312413096965,36.96182035885838,37.734445730740326,39.493119605073794,44.98952674964293,42.71529527995977,46.99939130348235,45.14748168234051,44.59561978226821,44.0677549421398,41.875407380882834,42.26127410194144,40.82779437421309,36.649403966160776,37.39175965093068,38.1419192335251,41.79594330245926,40.103496442764765,45.360745212295356,42.84030579043896,45.90917380328728,44.04102400185133,43.78135046727887,39.768041721253624,41.27259936397093,37.566666408821796,40.681270227648994,39.51280557395379,43.12793929808704,41.48225105355241,41.743090626930396,40.43698795059529,39.414898738525515,39.53579712506899,36.28069441039279,39.01435809077664,36.42858370151522,34.235572599178994,35.61732378911659,32.00526640170123,29.84030626673895,28.414789113283252,25.14724306768341,25.395649131001203,21.977613316386144,23.84374168395218,20.383215958836693,24.636853189967002,26.936722577078815,24.24150440509402,24.100291302952307,19.558242958093118,20.814102467257708,22.88439552487268,21.968131645918856,26.584492310818984,26.285824102482266,28.68281767916131,31.855948817044784,29.649653434211157,33.91733632782774,31.903940849615967,34.64293488449312,28.794069980262297,26.023431211400144,23.075735231920323,20.45332100719787,17.54061595273672,20.07147404793341,16.651640169246786,20.085153698122284,22.606802404446306,22.63991681686973,26.42662194692946,28.2233765774106,26.058974292947383,28.95591789397279,30.470982912564036,30.961417661162695,34.226243321615684,36.1131796108267,40.91145642549071,42.60587165129178,42.10454914409476,40.94363523389574,37.3392444589587,37.321248255747086,35.62340846330155,34.336120011799906,30.289837637955976,31.322275374244768,26.115667114597407,30.016880884797626,28.15635482490822,22.743607895154895,25.922013233493253,24.67366923037988,23.706489605257644,20.885124635355883,23.699561285668395,23.325392151474166,28.303605252543935,31.472770114563946,34.009014993339385,37.299219401269646,36.76590136000046,41.7074475793001,38.46969312922984,39.69247014611743,35.223036516859054,35.01739944648968,36.886407539823644,37.74249206136172,35.760716709890275,38.19875611836011,37.88628889756673,38.44240676611882,33.79662132541917,33.285783111439954,31.351760970555063,32.48520593462222,32.829418087397634,31.55463532778625,32.519779590320745,33.01776534860715,30.105802037919464,33.515526098767275,32.71595754828338,33.738204154449654,37.35283568042565,38.12235411156116,34.11907295395822,34.25431425541148,38.53183112131161,36.35389027281993,31.609358857078806,36.26045313096397,40.394261962952214,35.340110679849886,35.45196487372488,39.425362851740836,38.598619356784745,34.905895672099476,37.77518637052152,35.54836130278321,41.56584160813837,37.40181565930485,38.573627559811214,42.69736601236495,45.60408219602303,50.15789675782,50.13061733962595,50.6732973206692,48.89687217777164,50.776285058323246,48.116372924167116,50.39345092288787,49.16925041230741,43.363823034803424,45.06061965394548,46.71874230309351,42.59896778280651,40.25016881929258,41.73695020216773,40.86812172754408,37.43404100811306,35.07519154746862,35.51236877242407,38.28967027921267,41.94525507532519,43.52323303314162,46.090699918421066,50.05563341621738,47.43402187003112,43.239183545454694,46.842399932866236,48.19311735535255,43.34269761894508,42.685197179124394,46.31859443538834,45.2123907390076,41.944558109677594,46.25820781280769,47.83580259539888,44.354484708116004,44.52654058367809,48.08064462581396,45.81254014100308,47.706491526050236,45.751056255870715,48.14613941692936,47.44956121191001,41.83024454352447,43.45206227063247,44.542674177721004,41.79217541549722,38.67428968700906,43.266940289521095,42.132928748990246,36.88670212539194,37.239218896768044,41.4114032227732,39.53400766686752,35.60036038827162,32.187929399864544,34.123754354066286,30.78604556650836,34.55459228067522,30.24515612859988,31.67258800825645,30.026203317641748,26.924341429094135,26.516578996992298,26.825511861383365,26.63637677890957,30.408168998817487,27.638506086225373,29.863923320907364,27.191872736257572,30.288187746825823,34.820690681396805,38.08706375544185,38.23439530718656,33.52806328474983,35.54831575192944,38.78673232595109,34.93908334059562,32.80584578830403,37.51994133018768,40.10255471571727,39.88172491661951,41.190724775446974,41.833049752322864],[38.057852709914435,35.45133514077464,34.271798721555705,29.3211999046932,29.244981881372233,33.44666751917207,32.55953802400458,36.75563675348569,35.98560884053589,33.731044617891804,36.48433606684093,40.317101800363254,36.38057279656567,33.886378029577514,38.25899955145961,39.013366977633424,34.448945258450465,36.261498509596,34.00900240146119,36.556925719765985,37.19457705037483,39.58569785866529,38.23268905924083,35.3161768182797,34.39746039830775,32.211978213360005,32.19969529702747,31.717918575902374,35.7469349745461,38.68730202335421,42.2526375323949,43.81280418167836,47.89481182121126,49.15675794200146,45.94173875951061,42.04607936304405,42.42238053970933,38.488096925436274,36.119402798426904,39.531633242451704,34.59667472810499,36.704885273702025,39.8280258166794,36.950491664078584,35.52374051252354,32.53747281771004,34.92172004472525,37.52519930550865,34.36484829204832,36.65567838160936,40.90889834060537,42.42320342517538,44.78117120747901,41.281001574846414,47.29068023630109,48.124914913200726,44.145619730513346,45.90882354049716,50.177480532301246,48.21163485966798,45.170671006818026,48.540243498210664,48.726084351810634,48.147213316794414,44.5611458862109,43.127305344188116,40.56830358000846,40.3301779941445,36.923423388595154,38.086294763494635,36.07827911036204,38.106745223738166,40.96135402645003,41.41266630070035,43.49730174881141,48.764353317476825,46.4937917955689,50.89952204536433,49.00196183764877,48.23202871191061,47.93786497290779,45.538389616444825,46.23377901819599,44.54084308809189,40.327964423329654,41.37126721823166,41.97446972961494,45.920561282002055,44.08846207763632,49.52175808153567,47.00932358429705,49.99715994733765,48.34674509370971,48.29730888186653,44.41762185124431,45.946880745459644,42.34274695616987,45.52052856987713,44.461558353302394,48.15054749817165,46.33790947213511,46.61471089052722,45.11111225629793,44.080316145711656,43.84665072654345,40.72166797790453,43.27079888349037,40.47427992583988,38.43982576914655,40.081980057955555,36.62794880932391,34.51875838679434,33.33569458014219,29.97788042430203,30.291845482279236,26.763098331406805,28.380492463179163,24.644524444689782,28.48483960838217,31.240669061391426,28.68009531141334,28.841136817771805,24.391538773319542,25.811220540804253,27.94966406061971,26.81887991683378,31.38634172627063,30.856887933573162,33.01163714850558,36.017235780104684,33.44165458615524,37.52110268491197,35.297207962237096,38.389819771962635,32.48467500768129,30.13706600091564,26.971110618088947,24.675273363642876,21.990248674847624,24.32288688901928,20.476997662690966,23.255788849891744,26.28620059649156,26.68498451127501,30.289109599583448,32.49547889299274,30.527087008580423,33.65154587697138,35.22040958044689,35.912602406541545,39.14136816981782,41.155041088933345,45.90851830772042,47.66914731722368,47.183264699759285,45.96112017669847,42.323182383007584,42.21739530178503,40.43773730736328,38.99974176304609,34.7057355640211,35.62893112800367,30.207796831103234,33.83800156246526,31.535597549202333,25.91036109924412,28.885598685150995,26.955964166776443,26.290496860500504,24.01813678574288,27.090312354081824,27.13905090725812,32.057709039936746,35.41355357600035,38.11786553397718,41.584015739915316,41.22985120812035,45.99896751258256,42.50068806042249,43.68278344627611,38.923118490519165,39.100606852608564,40.48863486167328,41.0107312599669,39.013726268650395,41.18401889773406,40.98076976593192,41.025469954658234,36.41375689083338,35.784779236301965,33.91666850380737,35.3930830336403,35.46375805849689,34.3668207037005,35.34404717711412,35.736047340573926,33.24060557947002,36.73830269129358,36.072333244349004,37.55571975197864,40.978177679305404,42.12836371828112,38.22662207886113,37.97795548206699,42.331328655427505,40.4757519470925,35.4686451824113,39.93377566268616,44.37792282517895,39.42079049781483,39.23172820822168,43.200526255929724,42.69027899960278,38.81054671899266,41.32331501434458,38.947124249217545,44.948622577458,40.22323403759396,41.7364840291564,45.89970331830775,48.54556881032567,52.96221497206994,52.93882785664667,53.8350374197041,52.06297931077504,54.00108677634454,51.55712513435206,53.52030082210469,52.080179434016884,46.50902138739261,48.19542048329656,49.39450581309967,45.257656425355165,43.139470349178296,44.41525795199846,43.1050735534469,39.87138971802418,37.778620325838205,38.62625066745024,41.74157551316282,45.32850461177112,47.132982563287214,49.89968179100649,53.96099520333441,51.547583873782386,47.23929514717738,50.84956658069555,52.45297750448214,47.68624405744581,46.84328535951105,50.59828616166953,49.63743613090333,46.2291380507542,50.35996779209908,52.08583648402997,48.67200320263179,48.54145727036266,51.99574076166483,49.57981672023934,51.463428183311045,49.5715630706172,51.70039021347499,50.900069918974715,45.412929535319925,46.87691276078898,47.66082494235891,44.94498001512185,41.8543619405498,46.06873701373603,44.704897280817136,39.658318990304466,39.89875310522601,43.66843165367074,41.63744031924163,37.85390513634672,34.75453048151466,36.01392757320363,32.84142446723675,36.94787486688987,33.08780347450454,34.954605943232814,33.77318786798934,30.257650714120544,29.76948609066342,29.570844571392062,29.624183539445653,33.67898676160534,31.501664091115277,33.7406092368613,31.5179335462887,34.67926012788121,39.31375872346392,42.53329354101385,42.947134045634996,38.20952457773939,40.04719468314406,43.44842248730456,39.79935905170279,37.44840284110026,42.035061954070294,44.77568659151188,44.646794832336944,46.009058734882366,46.68415331203177],[40.10408078271829,37.482665960509145,36.16244863266729,31.032859351779862,30.579555304597413,34.48362098741028,33.14535883307991,37.11883364803877,36.131937548652495,33.42788691403551,35.95758257607436,39.860079117382575,35.64449780567117,33.05390654351732,37.10632398301074,37.826978412783106,33.11989930819841,34.488529081550794,31.77279321402837,34.35858559075404,34.62863197008262,36.9298657199099,35.347942123336985,32.32884598221602,31.72146445698523,29.700119957223688,30.09550000106912,29.968860868049944,34.121911541923794,37.37583888741585,40.62786784373404,42.568815472497704,46.53862022757755,47.462463914354174,44.3259816132447,40.28171652103402,41.00173045451785,36.70928034982053,34.3625992544023,37.71254547315315,32.58695536221503,34.399941266790385,37.41962848446118,34.475569889278596,32.76558765598143,29.83660014511477,32.125173690041045,34.93404044955337,32.08532824050344,34.4728499674758,38.652404798077,40.39325931657069,42.63402412294755,39.23017404588931,45.24168715136942,45.76042223596828,41.66306812574764,43.618626661073854,47.77260437346238,45.547980504109134,42.51646117336478,45.87606998722488,46.229103598078865,45.343345083168394,41.777019119062516,40.63307346971981,38.005145576105,38.088007996194605,34.611621796060085,36.112077941324614,33.99130173182531,35.88579829678974,38.78296450305003,38.91975407789414,41.27771298273345,46.32448071057129,44.1450563418059,48.6464782290234,46.827002891822005,46.01925868031536,46.06571235315047,43.73563079708522,44.82942646084183,43.19437544015493,38.91118515378486,39.8841510897929,40.10043013476056,44.25331270126492,42.07990984976998,47.586858536257026,44.99541846711445,47.83757589340097,46.422919133758306,46.64687255274662,42.98615810656616,44.5635024318901,41.175136577960814,44.453403309312336,43.700135262478746,47.712376741683656,45.54443113843483,46.24954913447827,44.37592513279434,43.8034076616913,43.52205414566801,40.760934224038074,43.560945190506025,40.95011868800289,39.209944926973385,40.60555395897966,37.27845132196641,34.68982278440744,33.48186392605341,29.8321854590284,29.68211979350937,25.984126422191977,27.0654184579611,23.053502582025633,26.290807078867978,29.459209184926408,27.076464103238276,27.69722478789619,23.509946021424263,25.39896990247089,28.0061206622581,27.02006558748482,32.08580054110594,31.350843300838303,33.6625906289796,36.303918117583834,34.176369262880165,38.16835098914752,35.61702140745362,38.448148016048414,32.59703873512364,30.202561471153967,27.66124372428585,24.808174710137322,21.825342054290562,23.590163627834333,19.102263778330084,21.280056908451726,24.37382088274037,25.247687057326484,28.706500132383013,31.129387272716958,29.468130053207926,32.86976929909624,34.7991634441098,35.73980612918721,39.26711642381704,41.271553826749965,46.07887768136869,47.9890336656995,47.12373912873211,45.75647216065916,41.95324476044034,42.014062707919635,39.82491803508838,38.71032917297232,34.20783283583845,34.56133078833722,29.205676929385188,32.57005124950464,30.49805460956939,25.008754365533125,28.383158339217918,26.478443588183193,26.38837786099958,23.96559480529156,27.067921118301413,26.771064491366737,31.41868808892227,34.689928307380626,37.23401863763876,40.829290175484296,40.2750898307821,45.01199670045728,41.39239890923061,42.81227377489858,38.06773148080767,38.734377839106806,40.13017795916923,40.6263114662543,38.25964483423401,40.126920853690486,39.55168858833738,39.6008473909417,34.704318827893786,34.49789688171565,32.939350009057634,34.75556023802712,35.138406469845435,34.36808257171466,35.67285837148549,36.46643147386307,34.17271667464731,37.84773790101561,37.538806163152735,38.78827279868832,42.53739586387374,43.521593953155744,39.599483868430774,39.78970656072657,44.15719544149418,42.19536271134024,37.50761651390011,42.10440266193819,46.356117593674014,41.46477546120896,41.55478749816037,45.54080907813485,44.82038836701864,41.14503864943183,43.923870259945346,41.59714346896099,47.59470725674002,43.08194925093275,44.326469816013464,48.487307279757765,51.12252305160151,55.693180116285085,55.51258865330741,56.11035797999452,54.16504731824375,55.90618342981228,53.215709335055614,55.18329180491388,54.03246926679588,48.36538387516739,49.7824005016974,51.158170208610585,47.19453787792577,44.833548740831716,45.89481437774812,44.96443007890287,41.86823756063534,39.24140290097561,40.32411567728686,42.936245604171035,46.61679644735057,48.59620438133606,51.11177093765686,55.27007282861171,52.592714048033784,48.46269928855938,52.34025581781344,53.71720436624558,48.89103991818056,48.40052868514578,52.167266569653826,51.13799740961712,47.940442805000664,52.228841254733425,53.90412238521107,50.514577559260786,50.64618190098355,54.14553554762461,51.78097069938552,53.52727702641737,51.43123885437382,53.657990071057995,53.13324720731601,47.5659580549625,48.88326429856495,49.94788003433819,47.33269445754911,44.02324584629962,48.31972243383571,47.278415352788215,42.16740380324496,42.15760376882226,46.12900338110806,44.36936835347842,40.56854640387695,37.494381716008135,39.03141648613147,35.958462000884644,40.00798632073642,35.99115472558218,37.53526578401092,36.14580933332155,32.93807274137889,32.35000676620825,32.3021249094617,32.01638114538207,35.85986057201999,33.26345293916707,35.15388096696715,32.681755879529526,36.13074748807586,40.44325485834984,43.83331409114027,43.91560200961729,39.325885780257444,41.57131030103712,44.79648622202676,40.81755289339808,38.950044354968604,43.711125338342946,46.22997285955469,45.936874306332115,47.14229024008078,47.67053439143257],[37.84918205763389,35.048157004708195,33.29863374017254,28.266406780406598,27.108849121647328,31.089171306574816,29.43538641120397,33.2318308709786,32.487102485193624,29.634278141974804,32.26135922415424,36.01055742759005,31.533569237423144,29.295079859417992,33.26020203670335,33.71880185659884,28.942571994282453,30.392540884632954,27.8702683545199,30.166579751543587,30.69107918762328,32.92816330108592,31.628206330229244,28.714450438969333,27.705236720785773,25.663208944468018,25.70436521733316,25.550201704497717,29.742651909981948,32.95598700897755,36.552216030240466,38.23614485994471,42.30471550392065,43.22901635175208,39.937418052061645,35.914273349990275,36.437216264144425,32.14910331333744,29.72286557275353,33.05741134455224,28.020152272084157,30.058425001545295,33.126922180540504,30.249030407466872,28.859502883928556,25.9542978294491,28.455225003576732,30.922763376934693,27.810192669246604,30.29937947784831,34.43089897041991,36.05318470497946,38.26880383765275,34.72400243610778,40.723792420052554,41.47686432375712,37.443559214511005,39.230218044722605,43.47166906332071,41.495740015017695,38.45041133979339,41.874692159676975,42.15328990088791,41.606994738864934,37.93680869205885,36.539079283519634,34.22234631158756,34.15719388747614,30.995175276081728,32.52643241675209,30.666375575947455,32.92777522416722,35.45086276155727,35.539655437773014,37.52241623904432,42.578473487666116,40.104516231011736,44.54183307865079,42.54046517197184,41.644176358955924,41.493469955027976,39.08127607464257,40.070632937256775,38.40071624354118,34.128387543425724,35.15003067129137,35.52408450942375,39.66078797636143,37.71035046991952,43.286230384580705,40.89403897312896,43.970112207416086,42.55810178568697,42.693506671153465,39.04116203599254,40.853598429984224,37.49593778428802,40.41151907814495,39.625737071661696,43.613490722869585,41.17213653309756,41.80113702942593,39.75964766084871,39.195689854329224,38.78338363049276,36.160437509713155,39.02287579118655,36.49719190798943,34.948012634898255,36.241230805197475,33.078575557566865,30.26039824630086,29.26412258966313,25.44341039366273,25.42491786056651,21.652090789269554,22.735488759469373,18.716967232680748,22.36205900872295,25.455772987211,23.265160325661757,23.84715434177951,19.611179903664762,21.43319186912042,24.134331909541164,22.804230215107822,28.104678178410904,27.062288757063204,29.37785948852275,31.77842439818917,29.91149751793684,33.85406189668463,31.187148945559677,33.83518374140138,28.031407099162024,25.60556564505984,23.416220168174895,20.289875061384997,17.275210535840387,18.847675803867027,14.358727843349392,16.693203612143925,19.830299253990542,20.55479792427986,23.998323690769787,26.48796405861607,24.83883573216828,28.331966433971598,30.264207716139303,31.463100377913513,35.003092938024764,37.24169977451169,41.94329908632625,44.184987274418354,43.19610665759546,41.57484951167135,37.71648085300453,37.623342806134445,35.34720281269992,34.113290344015,29.485192027772978,29.817862227725957,24.405125146279094,27.76336584042827,25.716038756532257,20.277758649759008,23.796509094821868,22.179866612598133,22.158779290885896,19.487502783026056,22.52103064447381,22.040253648686207,26.624571083578882,29.873301320955914,32.41801537491233,36.03972454522239,35.56898846971685,40.23246907389475,36.57864896936841,37.98442734124725,33.253552567047905,33.97252306711818,35.40793169102108,35.9747097267166,33.55683675654279,35.46731379439463,34.86836098843257,35.091806747585665,30.20760292802429,29.999811321267057,28.42818601487301,30.161292977968547,30.727559086092864,29.99344701325244,31.423381257615965,32.45145163666292,30.151822118776668,33.89678478480288,33.82809472063932,34.84269353622188,38.847694358552715,39.69714552503297,35.799654075799445,36.37557381518811,40.738790655977944,38.765684282997874,34.442285650278606,39.120427988622964,43.1921204300767,38.533957866255676,38.91763962214618,42.907712291430855,42.10036873431087,38.76227702479929,41.770954388881734,39.41225403620926,45.3308037810728,41.04086550399208,41.85121113370272,45.989076563710825,48.551824352916476,53.336768270227815,52.919360693075355,53.11514047690814,50.97854963928904,52.50750884939529,49.57572950536512,51.58979292689029,50.74079152232523,44.961792313286736,46.143106181160825,47.78048715648682,43.981945694891536,41.362199434985726,42.320949936329804,41.84388349883333,38.80865713031887,35.681622472883376,36.8315796442084,38.972755586338174,42.714603281229664,44.79332565634397,47.09296984268162,51.31645583111171,48.458981448436326,44.46785448781307,48.56721726555153,49.79158815025527,44.95796918905388,44.7562429850612,48.58170179503028,47.57670611528322,44.57385146857592,48.94163495833032,50.655713765081124,47.424070945921294,47.71185863115851,51.18833030735219,48.825711166137225,50.347853923123274,48.01722353714709,50.309301590625026,50.114092906596376,44.49260894170327,45.60626718938949,46.9953432205014,44.52465877613612,40.96407340484011,45.37098745042215,44.75433081303753,39.57076065119383,39.28702937361747,43.55501614061528,42.16908231642539,38.33862756839907,35.2837821924783,37.32852136650691,34.43434707137402,38.341533214717174,34.141179446314645,35.151174080040256,33.652800979067834,30.89631553478492,30.03003955619634,30.146681737181797,29.368572895921663,32.88758521892508,29.880474634049687,31.392435584615527,28.805477762178295,32.56508712933534,36.552213476617865,40.072714535861856,40.029918728079814,35.584247127064785,38.17195893130504,41.33628871427167,37.24883125933078,35.821178810737166,40.67586339239093,43.121159396782645,42.79267616119323,43.971490232972144,44.35698591418179],[38.36972208217536,35.4465970905676,33.57985530619108,28.97986078736272,27.839747540983396,32.584283110710636,31.39007924934826,35.38384811184355,35.129790401592544,32.70404859863802,35.62153941940094,39.20889160483595,34.81436010958322,32.902061726907654,37.064624289671755,37.36611895177267,32.64331803105584,34.37366735497195,32.09909739532187,34.07467619368216,34.740045699139685,36.69041807787777,35.55196592575023,32.54614511319576,31.390887855459194,29.63029930454409,29.334674877488208,29.194271235793206,33.379746529018156,36.37624260507443,40.46865029983859,41.69743254999385,45.926510608624106,47.00300354299822,43.510181497362915,39.569234312589295,39.67538112548811,35.46676760977473,32.80520034885016,35.67271699693804,30.866148868487798,33.51381835077157,36.35653816285672,33.278732009276645,31.944590189847585,28.81272745769775,31.064104035858335,33.569682036673704,30.28145899531891,32.22913714507927,36.59993519718569,37.97188242400155,40.523181654934184,37.21603508372838,43.28034195246274,44.128558249578965,40.38105801560105,42.345776367620154,46.52766669648891,44.571312272571866,41.89697077167676,45.59332437131911,45.987406440267506,45.639606385028614,41.803550069827466,40.35772484363653,38.4455828710972,38.33172659732002,35.4123251045993,36.89671018674347,35.18386974446541,37.58337443438523,39.976563056527176,40.0706310517235,41.825244936807586,46.856508188893656,44.11141393896606,48.48701621052207,46.240379984645934,45.09738600153565,44.66241813961866,41.89958485071871,42.66039447451168,40.61869872115899,36.447867969084655,37.91966476839897,38.71562956668457,42.86270957438272,41.346065594323115,47.01782354841979,44.87850755746987,48.168956382697125,46.721763554937645,46.696812570797306,42.950196657343106,44.87188952520403,41.3952603606193,44.010072609999696,42.94880757203083,46.59772740595222,44.233345951760874,44.29907336010374,42.39411639463874,41.25893092271918,40.425673301717765,37.591470705771904,39.97525114667741,37.04436510798809,35.43981200543197,37.25718155053164,34.216583627194396,31.90869638219506,31.344448434873275,27.70662821154208,28.451007219426245,24.783558331923736,26.315346506382298,22.476830832518342,26.6010124944634,29.538524101822258,27.399296495212422,27.663261348332544,23.19077633180797,24.49210783738195,26.69408288418484,24.737865876531366,29.503146453599182,28.26984716249892,30.127610854948887,32.64450568224703,29.974715616913663,33.78756259995011,31.211680867288422,34.46196516644657,28.57372229562011,26.67418630353462,23.649879248905194,21.463885902892795,19.12634176466761,21.166302004508843,17.316300486217447,19.74821092274685,23.257825939619856,23.6238636600265,26.964286700233664,29.605814490145647,27.793942326419366,31.17846259006265,32.68644176022422,33.943528512997794,37.07291566962338,39.61860948645869,44.13595147903293,46.504558986528984,45.89868524336444,44.21539835863028,40.49390381336188,39.99626551434568,38.0943932350509,36.2146122895037,31.527578678000644,32.469502026180166,26.776460582315174,30.125569296083448,27.314478496050267,21.58074665351707,24.341533840535472,22.092365826990537,21.69691192952409,19.7275534913716,22.94508034525905,23.30817511802297,28.09512378359328,31.616731328671623,34.53453786665566,38.17481388830912,38.21448482199437,42.64536646653105,38.85759343868055,39.896371097080774,34.86315207796103,35.41739028347983,36.31806055319957,36.580814202956084,34.591829704675696,36.592809451888854,36.5861827326761,36.31864404291477,31.906384490078686,31.02205067744366,29.13330312509171,30.756264805996675,30.71462215496033,29.796089564025763,30.909661472715598,31.485764205362116,29.40019179951123,33.0942468528639,32.9233069595551,34.564946832911964,38.177757682055436,39.548999428488095,35.784680550355304,35.709771298286526,40.16674694367909,38.649694602051945,33.90891207544632,38.33717203876599,42.85660062286949,38.374970157527684,38.347890569135245,42.347014109187185,42.04528263062645,38.5139849538009,41.050925476725396,38.43079084997949,44.31534533620315,39.334043780622395,40.46308198421686,44.654830637736985,46.89590741091679,51.55355706940617,51.11761459104246,51.715325348762484,49.6189609317632,51.27532429847474,48.668774587634644,50.368465753147355,49.179535645165046,43.662829327768776,44.96586213789226,46.0905409385698,42.19002155845034,39.89248861265299,40.78679885898507,39.72558960006743,36.78795090213318,34.16851880132147,35.5655002012225,38.33595523214403,41.951184437377854,44.16167362911403,46.82296391370996,51.09986037659525,48.64398096719769,44.40889577216907,48.38192429533232,50.03955785471413,45.348253288989355,44.7410848440419,48.747797272603314,47.99580664103654,44.72725183232162,48.796712523892595,50.76893313069319,47.687815059248855,47.471215195262225,50.78681112786238,48.19372629426768,49.69157324987552,47.4708445479395,49.416291126778226,49.05283047425583,43.595795624056144,44.54865099218128,45.543149366039955,43.10019113836645,39.59431606264969,43.600282596905316,42.70791451907253,37.726179514369996,37.374128816414675,41.23477918512941,39.67920134132625,35.98416744020394,33.239095008146776,34.68247547655458,32.001895317261024,36.246136860029466,32.5116147854674,33.921489888709864,33.053014216987634,29.840503458224376,28.761426972202962,28.2991297452744,27.750176320932358,31.605212984619104,29.39197949201108,31.07419444249548,29.183216450525897,32.91187097648998,37.19154381471399,40.56879962504679,41.11832696567864,36.54561882731424,38.71439519372655,42.23559437827292,38.654590139698705,36.72391583346873,41.345302720733514,44.17743022984277,44.11213235140257,45.52962975583706,46.01767594852961],[41.42782133365945,38.58887962124896,36.913977387249794,32.344582015951616,31.50814421470576,36.278199518198655,35.2218399238913,39.27629763594922,38.92957749260435,36.51394789158703,39.36526721082928,43.03085752384197,38.67547145053657,36.60750407713402,40.74340866394308,41.13052380942191,36.37689241038396,37.935682084757836,35.38660587808362,37.445165446260674,37.8239302822548,39.66415690969648,38.29699154793083,35.13079245122925,34.31598686640654,32.74742383676534,32.7541417333391,32.81929230348055,37.06237854143413,40.18189258138564,44.094467579352354,45.514199423034725,49.69269898588984,50.6528730639805,47.21184719201213,43.200282614556826,43.456691274032195,39.074690103792946,36.38438412112008,39.06803962984554,34.180831699520596,36.75348868606693,39.43520204978591,36.20288877447286,34.54208490717972,31.344279674947863,33.31845304200867,36.15474007072489,33.137633887279,34.87282392351757,39.31581694338986,40.7896797087457,43.41636698229011,40.34358245397054,46.43965877955072,47.00866045317447,43.26843556070407,45.51163078970192,49.559866139870984,47.31399555116353,44.799685299939725,48.56484209577249,49.13968041239484,48.502130485710325,44.66647433786561,43.50393765040249,41.52006156244257,41.64088274084368,38.58061556566264,40.209310589576134,38.33778796568863,40.523952310991476,43.10859073883029,43.0701968618041,45.10320378150829,50.017961353795116,47.3844676024747,51.83479104333982,49.63906471628476,48.43212133449473,48.191343046277105,45.38135564106104,46.3381878383698,44.21260319165636,40.0358774010522,41.59999910776223,42.24517855091337,46.523965760522124,44.84742312182355,50.56638642448867,48.3567786711894,51.52148956891337,50.178421854120295,50.2869211701469,46.60182353845338,48.45203934160263,45.01311184841895,47.79471970326797,46.8068528875162,50.516810972724734,48.16551879325192,48.29573705957124,46.35331851253671,45.24647774568346,44.32293480677797,41.5248573726862,43.82005831140446,40.79977712237086,39.21223977069815,41.14335408725939,38.11621427113244,35.89097803029264,35.3197149832566,31.703392541002877,32.365823466617044,28.67693383216362,30.07601043636134,26.12382982410029,29.89372581575395,33.05218974845688,30.896704560147736,31.31260128093509,26.899870848432727,28.3290561105468,30.561416054508808,28.710267962535784,33.39376723197914,32.2024957777805,33.97926021494969,36.48657761124744,33.63090919038187,37.346792312458824,34.73044478856161,38.14556178715395,32.27559895527936,30.555506909668598,27.406824769656986,25.406618532548073,23.126676579399525,25.101481276874676,21.059277806728574,23.123877378464904,26.76859405883758,27.369489506305094,30.6245644684734,33.39584226049347,31.680893976311765,35.12545072097975,36.68151585148208,37.923245125841355,41.05594542715509,43.55215336300638,48.09582065645313,50.37350432840768,49.79751412722527,48.17695931440727,44.45254390291478,43.99449184901413,42.066962651967344,40.207391194637225,35.47876080859259,36.33251990140269,30.618304387179784,33.8256969336586,30.88268703795737,25.140813918729087,27.76574587348979,25.16673513358413,24.940245548788823,23.313263186906337,26.590545366365703,27.132189121277747,31.843795005689188,35.409123571729246,38.36100826417833,42.0558050397823,42.116913425076596,46.49456839383933,42.61593359107331,43.657882669560884,38.52764407984612,39.25267668175804,39.93869349559454,40.02919231841976,38.03690874710089,39.866648139479295,39.88764759249041,39.32805114707701,34.94284796498058,34.04888597750367,32.244220316744126,34.05932038470631,33.85465259138052,33.03967288287386,34.12250996858033,34.58322733673044,32.71981111618667,36.39145111862539,36.20600743469953,38.098429686346805,41.526358025954146,43.08881242909479,39.374465855552195,39.021772152814556,43.48552597171203,42.10439988740697,37.15891928157194,41.46317643471485,46.14967192547303,41.63594124092244,41.389377911734464,45.371002558987975,45.22183328328752,41.505812330956,43.81542481033311,41.15810573995744,47.04292798787975,41.76555322581959,43.18823788136704,47.38557167179498,49.525647199611875,54.02834572570756,53.67508255179431,54.566169724437,52.54193629534001,54.2859506601066,51.865807300286306,53.39615688091892,52.01740755833858,46.67517496562705,48.039349357033316,48.85658496004258,44.922138226478005,42.831780834530306,43.64882269135909,42.24037179478897,39.40776991939418,37.09781617335081,38.64897329476591,41.69470362736246,45.23690972961145,47.505939566237764,50.308240890199,54.59120069084258,52.28774113711913,47.97831984417434,51.870261759718794,53.67653862205832,49.03307185981359,48.26081438585635,52.28507861863396,51.582711213431224,48.20147286445631,52.16206000727415,54.175880930833024,51.07104167686785,50.68275710871069,53.958097772222025,51.30995451452614,52.874941336578885,50.76678038932974,52.568545042749285,52.051965854673966,46.69187758484767,47.64068801270604,48.386385992597305,45.922600368027894,42.533462383478984,46.30669630011906,45.17217580794755,40.33959233549509,40.03197535190383,43.57463263080547,41.8324740205955,38.248432697355824,35.662349373064174,36.607159077174046,33.96525536563607,38.37542776370376,34.926366980041884,36.69978799883856,36.05189174252592,32.53634082274925,31.544161286618706,30.82728044947128,30.566202818809565,34.61269659668916,32.79073160827114,34.596334005306076,32.91175658283552,36.532228943706585,40.94160698443541,44.248490219532776,44.92728090095059,40.3061259683495,42.29059632740919,45.88006631636714,42.401107099093075,40.2480807976199,44.78876933967522,47.695668059092846,47.66830392471098,49.10769469756955,49.65218495533545],[39.00251412720592,36.15392011598148,34.53303779467307,30.209454199352983,29.605527275810644,34.65168994422923,33.98167027723339,38.188668448220575,38.08538743133547,36.079487538302544,39.12964052075316,42.69119963095448,38.5849579920289,36.65892097113578,41.05512364553864,41.44474550853989,36.8416286645317,38.816160406114136,36.73440281617285,38.74446937989606,39.50822059493785,41.461046820725635,40.34701498950475,37.320926244852835,36.16178943221257,34.39430817927775,33.98694228938255,33.69146427450196,37.79190571951401,40.59423374655356,44.812898663403544,45.84515533810171,50.1244114280192,51.4082666091498,47.89219663346979,44.04090285952517,43.95512969193155,39.950980305587485,37.26318315679553,40.039012623996015,35.369435109059694,38.193758167488845,41.004191853488194,37.888312085962454,36.56722988430849,33.358279946509846,35.489774179944014,38.04440559581638,34.69945707858243,36.402734954017724,40.86263565376931,42.09878998227518,44.798762969732564,41.58929614512035,47.649273290686054,48.57282946366847,44.94451229184691,46.93478137905,51.10968305142651,49.17585313718926,46.60994576735875,50.35318795142015,50.730492105293784,50.43405494519456,46.59063917593529,45.104413064908655,43.190656734140724,42.97586983495131,40.00807365574281,41.31211873432323,39.5746980582507,41.92004049483837,44.423024630770264,44.686966631130396,46.418406339720526,51.5484253333408,48.81439430809588,53.155450557610465,50.883291856370434,49.73067953437851,49.138083572851585,46.287057500170796,46.83003774098219,44.67932346080414,40.58955805979236,42.18766726058474,43.213511460557186,47.25944429509477,45.93042641766128,51.5585007627736,49.44036931608545,52.75854551779225,51.18609236584236,51.023073347599805,47.14099125148871,48.96605940798533,45.34111844692386,47.97791860742486,46.704254996545686,50.09465309165724,48.056617681313,47.77463746386652,46.1787096689358,44.64398325220105,43.77214776965773,40.64409703475615,42.697161679909655,39.52470408908607,37.67528772001109,39.82200273720945,36.710831568409745,34.93355398886026,34.41766619103519,31.08746440977726,32.18912223410141,28.684384352379258,30.56030868648643,26.89868852851664,31.220524548584436,33.968263525581634,31.6753430856136,31.670989056608327,27.061697364669946,28.04763785754989,29.838727816739894,27.82165268070445,32.01110598644116,30.98124170531533,32.588363884482064,35.40937192843349,32.16419480892023,35.946310338351566,33.66889696197358,37.29078619466175,31.41074094858158,29.733990271094598,26.038502314557253,24.585051152604656,22.62573931091313,25.09025963863711,21.714902863098885,24.355430525237256,27.85892874913685,27.993038755901168,31.369029051868186,33.89538868538932,31.900307395408852,35.06160988039596,36.26843111163051,37.29501710601694,40.127566116762395,42.650499417498075,47.106269680027886,49.28132719529201,49.046007495058,47.53472082017532,43.97588793936354,43.346299373930435,41.80585868072282,39.643072007058755,35.13886613084792,36.5283050095271,30.80290150025073,34.25649934327024,31.158624599845073,25.36213394051483,27.59641772143901,25.082324031858732,24.245000536215436,22.737573063693745,25.926961394772423,26.768384143117846,31.69675009058874,35.30330231565211,38.37928382605902,41.92350108595225,42.170044658499535,46.56521362953139,42.832761905447825,43.64624697778711,38.54833028708705,38.77536290286832,39.48497647955782,39.63275427987178,38.00693641571971,40.15718477798681,40.52294683219434,40.03507765763119,35.9392327747629,34.66090150512526,32.556552196554456,33.986508924298676,33.50492767353524,32.35025496551333,33.10322770927994,33.17955977801098,31.098831122630948,34.58076678358984,34.063598197533416,36.15125170189246,39.27766066117846,40.98142242368515,37.30623735476144,36.57331219130398,41.01079294005342,39.74493018341023,34.560676807130676,38.726631553112554,43.56670405716482,39.05282284218239,38.57865769318066,42.531807420456204,42.585462569528936,38.74819702539501,40.81936212154135,38.10404569998185,43.96006930594629,38.50167167025335,40.11284118161493,44.30394544391424,46.43268462023916,50.819229241082994,50.578034761598936,51.695270308703,49.814077334016204,51.7193367191828,49.50751388923085,51.0462838207234,49.42748404975127,44.16525590388665,45.76459690532595,46.452712368246495,42.3686344485397,40.48438749196331,41.51172194841305,39.79010793482595,36.81935519590554,34.985122140714786,36.29709269937837,39.774904140406846,43.22508697587724,45.32334002092711,48.33536914613622,52.52095292594436,50.452958477802724,46.00033462280552,49.65116348925193,51.65055366666382,47.0769213600725,46.005480193624166,50.017879284389615,49.38967226543558,45.8447821272406,49.65121903266046,51.718849578440924,48.62968805468624,48.008589752327126,51.22585627173038,48.52959575141388,50.186112215266725,48.24338243551197,49.95559787121048,49.22227174449871,43.94158854378873,44.99767512674423,45.515865962567844,42.98007016443551,39.76924889075693,43.47379879520329,42.08659279625108,37.30938639112294,37.204669318480704,40.59341104013461,38.639599373438756,35.066590075848794,32.471150829791064,33.21172081883201,30.52002149981407,34.97580727514828,31.676233162771496,33.67350444880671,33.24409355343147,29.514525451935995,28.548591218421357,27.67550988408591,27.668067554600373,31.870114463644136,30.43021129582056,32.51243200805311,31.081311290551476,34.44874799905069,39.09813778782414,42.243595147665225,43.22433958009197,38.507515488018335,40.1397180231085,43.87742095260009,40.720442863282365,38.187545023768585,42.54889933865936,45.646906594397144,45.774468776483225,47.3542671750648,48.01310615810452],[39.443845852003115,36.83945357711084,35.73006955620449,31.2824094981833,31.456998890558403,36.19351267963741,35.81549411650254,40.16840810309131,39.77662277322438,37.95421563901174,40.916756687417056,44.61517424548518,40.83930021514311,38.565176399201384,43.11173245864692,43.786969766509415,39.295406274973345,41.34274002857655,39.28312541887868,41.63490836414935,42.3784385299826,44.58490032151071,43.3299127837759,40.335183722694,39.3309113561432,37.32824724312011,37.08679586514171,36.58984224172003,40.598894642465005,43.350957680743186,47.26814455992139,48.47769052477463,52.67432762299613,54.09602083687982,50.74345937593231,46.924383449781175,46.98014350163857,43.14803644538701,40.61961497009808,43.7011036295502,38.95083516090226,41.487036430149224,44.4561071396719,41.43209793721337,40.032145847941166,36.88406435815851,39.0689546433181,41.715931544288026,38.44494925737426,40.31516333798242,44.73787658568152,46.056025979695264,48.669333824845786,45.3630628410472,51.408318448843225,52.31716047522103,48.5572443496343,50.45443715503961,54.68088553206661,52.721066518432245,49.95634119908619,53.52362194067775,53.787129503402696,53.3412338086566,49.63923618566811,48.170513857077495,45.869978315123575,45.58276551786947,42.31473825330185,43.41152592530928,41.49109308886265,43.59275169321546,46.39271525693136,46.885043442345896,48.82476512350912,54.10334989859312,51.65894431245619,56.02184810996537,53.95513601311667,53.01797327811411,52.49881221054525,49.84340992895802,50.331383955756245,48.36561956977356,44.2508342153171,45.620155590275736,46.55474467844017,50.48421301942282,48.98173424639338,54.471315413461326,52.12740107456973,55.26256947284444,53.55493523771796,53.36254473162389,49.38398436249763,50.95206417686632,47.23287815276939,50.21633860961869,48.913412340082246,52.282803632888985,50.6368634834225,50.42950911773239,49.12362252901835,47.5925388889927,47.07451246574653,43.72829206971588,45.82689435746416,42.70079923053059,40.55398703783808,42.64503222376801,39.27598167514973,37.70727065171266,36.82871121169118,33.71665807614625,34.61137626194799,31.21118221105775,33.171335688194596,29.578487569756554,33.75022925094102,36.38322538068408,33.832013907804786,33.738900646580554,29.141665563460663,30.15162111932639,31.837848246382936,30.306243884099274,34.27401191785677,33.703032120400714,35.44592065519597,38.60026164772206,35.333126390742166,39.26091619252224,37.24103493248383,40.81902187532546,34.93242493226598,33.02165816261894,29.168710676887216,27.737287328906447,25.617269621893005,28.283356138461826,24.919514661804723,27.760699549744334,31.027535293764977,31.17286260591226,34.70991351949658,36.98918288369474,34.88396127305501,37.872103649682046,39.07597724375959,39.730628918202946,42.57077288016252,44.76003402260474,49.34137865535862,51.09813868549858,51.00795854400666,49.81436427292486,46.338278397349974,45.92644499687365,44.5160536919206,42.57751273573614,38.32948739790337,39.760883149641906,34.175563942909726,37.806197331323425,34.959292494641616,29.193867798058847,31.51824248457189,29.15161807065128,28.133639330516473,26.49184910656252,29.60027197349435,30.307063504822366,35.333639525848625,38.86130137274736,41.83699628320968,45.272853211553965,45.31363170588922,49.90840040448548,46.34726550119338,47.218946077481625,42.26303440373985,42.2317908218194,43.201201559701374,43.483507819261085,41.89539029059359,44.15734885498831,44.45068963485292,44.106277616183895,39.91231909143041,38.74225585166896,36.628821682346526,37.96705831480091,37.50062976697364,36.21835282949972,36.844644237259814,36.74007213373595,34.42351976376517,37.73667275164095,36.85602145154244,38.91588556709948,41.818708396090365,43.44277334036016,39.713028624751296,38.74412278480219,43.089075310523924,41.66688435898512,36.24702727730681,40.351927434926196,45.191560857154364,40.386340661057915,39.7043516448724,43.603720170056725,43.607554947992895,39.48866937541279,41.41242146571638,38.851666237357804,44.74278809086786,39.362826421042854,41.3423015096301,45.490722616590354,47.847449876581535,51.98690014034579,52.06779813992373,53.50317671403094,51.88989870118521,54.026209050298824,52.011960124569136,53.677452314656215,51.80886429957446,46.590230482459965,48.488517292996,49.12678349938318,44.87187129238182,43.198279340258445,44.48704874385372,42.480647541526274,39.33407009340662,37.99903698029883,38.94376612563033,42.7553525082196,46.14541605600676,47.961590875188,51.10217665818525,55.123847502337085,53.166154982281164,48.63505194761561,51.98158881970313,54.01336485015814,49.427361046885885,48.11390348011578,51.95493564550314,51.22235820615989,47.53908260393893,51.31228813085755,53.2364540513827,49.94070222812529,49.282665134952914,52.55440595940157,49.95851761315307,51.89676666001576,50.236045696808574,52.00729441026254,50.90869285896588,45.67222922913144,47.076790314419064,47.34709691637003,44.62413570729068,41.76871534192397,45.51881759021947,43.71376324843851,38.97480473879662,39.313758977949256,42.50966037476638,40.15908110382342,36.5863971284804,33.81663469882269,34.24517091428207,31.24457721680456,35.620293840354606,32.38423032927359,34.816736465723096,34.292427915278296,30.2719534466104,29.735061290568574,28.94829531270308,29.460749244229927,33.824454197391155,32.5760154723193,35.0668741081592,33.519228370498794,36.450105891162856,41.37216720745552,44.36261496161473,45.34011351784612,40.50876446289886,41.8165430689312,45.50959400135015,42.40921743776809,39.49634621607262,43.755781983673586,46.84052679246574,46.968039311259794,48.54100893575201,49.34773981670495],[36.24422744541766,33.84348432508214,33.1695349768203,28.584587255458437,29.462561655808628,33.818197420733284,33.73737029426719,38.201054283809974,37.60600714322669,36.09056453438988,39.025204345845324,42.758107485659565,39.4117876226113,36.93010870256791,41.68183269640978,42.598677098271835,38.34217341615661,40.68210997632038,39.00449255546483,41.6220427702925,42.65501637115701,45.227088716530105,44.07612071478932,41.30256765692149,40.12597894879399,37.697812642198194,37.3077839556396,36.35187540904484,40.1251104001234,42.61822668284555,46.37866023032774,47.530949426331816,51.666735078716506,53.397849338436224,50.19156279833507,46.533990901880586,46.549445465030885,43.16992938445271,40.87084479999298,44.425238893372445,39.744512271860636,42.050685687233695,45.319519372267536,42.57233664915183,41.431334937738626,38.42681386980161,40.901629217386805,43.3058639557434,39.86409586587871,42.066199475724666,46.35806032408486,47.62790389626636,50.0794936944888,46.467814091951944,52.41897535235368,53.60986455154889,49.743685048182584,51.24290117485832,55.63657783735575,53.96612972501701,50.85745358620351,54.14887188391403,54.09323865584803,53.80636888086701,50.27831555346172,48.5348702789172,45.91053604854789,45.27763359004395,41.85469850356207,42.51858429309851,40.583363769873365,42.62061281612594,45.53393947583898,46.45046078949783,48.295289484896074,53.84275605149428,51.6128185962535,55.882900953621814,53.99560923346592,53.36610831919223,52.697531013260324,50.31192746066705,50.492099747843724,48.81752780826759,44.73119701841034,45.760310784696536,46.785080298695654,50.3941664630456,48.91738088739921,54.15379285855122,51.65791407672824,54.71207599353599,52.72910582093159,52.33286327531341,48.181479947310265,49.510376598961905,45.63995077159722,48.8130591701468,47.364899394789056,50.573599532507316,49.4286274069408,49.176404532994965,48.30404425304115,46.68938180319852,46.66931764386142,43.0155721911401,45.19405935436603,42.202824789568396,39.67233305879114,41.61073767969393,37.94078286625736,36.635928429316245,35.36007654174763,32.58358618994153,33.390353429770286,30.2300220099415,32.470155420877774,29.189106222188503,33.52095198687441,35.71172897902582,32.89187219347137,32.47194590565576,27.873358946440632,28.674733938331507,30.079117490109876,29.01874478637803,32.63938173612391,32.61194719415084,34.535981267252374,38.10664061080918,34.95107277653477,39.11122949170071,37.48753625164743,40.8671149907646,35.01708231442731,32.71927735848491,28.745757646617896,27.32318728902987,25.098470186547193,28.094263657648625,25.14504728092181,28.52144183765098,31.3263915890669,31.194211464397192,34.93649428991813,36.74766119325336,34.41218801064364,37.04779529657069,38.12070585943349,38.30925510454469,41.07263926837782,42.90722421932699,47.56640393964661,48.90080367304813,49.00692438160488,48.146112128469895,44.82158454683445,44.59614794412122,43.44104275824217,41.70356459064728,37.8743232601402,39.51338454187003,34.183033670197055,38.120326470436154,35.66871019110438,30.032062030784665,32.446767329309644,30.565266007897844,29.129665276475343,27.122195654032804,30.01544844441416,30.473824149464527,35.63006985684275,38.993887186146985,41.81583847756811,45.02082425973654,44.84354773388751,49.673231006186285,46.4382715400102,47.3255340605043,42.66334455922802,42.11171625896845,43.55859916208068,44.1502579848351,42.67328859876391,45.238207702745036,45.47969664067419,45.55525178834038,41.31406191740208,40.217497975251376,37.99779944734015,39.00066660774073,38.6522017465539,37.10189903514117,37.56346972931573,37.31115859688268,34.51138028946002,37.60455502068497,36.280707235861996,38.07984921196409,40.84904892335737,42.20047059818965,38.38048470923097,37.362062302250735,41.57410965563044,39.84610505865738,34.33609047437099,38.473021642382534,43.14865813571747,38.033302183102684,37.305224915666706,41.15698409055876,40.960523552984455,36.681321511728406,38.65183897129364,36.308729490810194,42.25018899843134,37.27185526863919,39.3854276531765,43.47850767545859,46.216032782273274,50.22833313925661,50.604368773104945,52.109236347675726,50.7440698528405,53.06728299250348,51.111955030485724,53.095063340513164,51.11882402233632,45.78485856775903,47.98418641485974,48.86719400957378,44.44701650593925,42.825815250122375,44.508101484751386,42.50808761706814,39.04533298320889,38.02180698436179,38.361602676711016,42.321902736637945,45.689312455945206,47.09512393450264,50.256415629392,54.060100456678846,52.11041845599297,47.56032984330939,50.59563562422506,52.53266234506168,47.90736455167617,46.44235603927327,50.05423014634217,49.159058319496516,45.414791047739726,49.23769912160552,50.95346611730512,47.44320334273581,46.895211563468145,50.26782010466142,47.84518985847265,50.05210524191402,48.62371566665852,50.60226884675941,49.21855858524682,43.94312752658152,45.770808836573764,45.992090133679696,43.06664692712922,40.52615953866333,44.564820944393354,42.51329150153327,37.66322486327626,38.494501529632906,41.79168338134557,39.16770289485471,35.47304662069642,32.31700255734183,32.92194372114845,29.49320863909863,33.592854224960874,30.108278522009382,32.69670049271951,31.84151642850161,27.757455413873295,27.661982242536958,27.242702126171945,28.107728922850065,32.4745256786132,31.11586711368446,33.99987437913999,32.170319165384996,34.62016049470871,39.75035930741975,42.58884835908198,43.475067334818874,38.565282541124255,39.608994979525995,43.19058781296953,40.11888130593659,36.91946314401196,41.10439984406721,44.12173607130312,44.235987596320044,45.80082763625378,46.747259558141025],[38.492021487583166,36.18266583642277,35.65603416688519,31.457215147316592,32.565368302494846,37.129160338752136,37.36243405620333,41.87950470861711,41.45107216910933,40.17005449866136,43.16730097667394,46.83670636620426,43.60339738392505,41.19389510221232,46.00256580468941,46.90634831940181,42.68583010193048,45.08364680936359,43.41674764011695,45.969285805776515,46.9745406684159,49.43916280591591,48.270461611586065,45.41329960957044,44.28466800142253,41.98491348906081,41.57244802031669,40.67020112519771,44.452818056999696,46.888782478219206,50.761657745981104,51.79567028219194,55.96642708823223,57.751221374143356,54.49738790756107,50.86028199198806,50.76215523315326,47.38814060966167,45.004502268759325,48.35957005642175,43.73843431631304,46.227383350180176,49.38888000243621,46.53022984869021,45.31520733149007,42.213214300437585,44.53405247902446,47.046106919441485,43.614428358453495,45.57548572873543,49.96590729977203,51.166137980549934,53.75979136726424,50.295939831219414,56.276804017849685,57.435958344200785,53.671177795061254,55.304809108199315,59.64993474568197,57.907881044403034,54.96375945224796,58.36707254646087,58.391714990005994,58.09007380509311,54.505647909045564,52.81726875710564,50.28459144683995,49.690745169209954,46.28965688850719,46.960750859890915,45.02147483926447,47.025353821467704,49.97002023872833,50.875243421246516,52.73248525500775,58.261448359134164,55.98454085803835,60.256185214610376,58.30503453314666,57.5836446751529,56.854766810203174,54.336146437266514,54.46009495388368,52.633045248268296,48.59516137561379,49.80281853960778,50.94845108375413,54.58197602866375,53.22089583732622,58.494487651542016,56.05550087871528,59.14239113293504,57.15365689235979,56.72076458043276,52.53933957877987,53.85681505995909,49.946222708325124,53.06983357928498,51.520707879374555,54.567404455187955,53.533528435456425,53.05097178655494,52.285567861249234,50.424911650930156,50.24686641565735,46.49422417060793,48.40358353559137,45.2330512876259,42.65152992695555,44.84197768994012,41.241599630085304,40.252834082172555,39.13449822483898,36.50379280702121,37.55858246401576,34.461018919071485,36.801632993694106,33.543991391909245,37.92463656236368,40.13036871657096,37.3200650751346,36.838509485595644,32.21527971863209,32.872318083699604,34.06905114259728,32.84906825495804,36.11084173437182,36.0782849126117,37.752081312791475,41.37425673806819,37.83735382927151,41.86086993271301,40.35857009929683,44.00885007172727,38.207469017044154,36.187130360396345,31.884912492115888,30.938278974986996,29.00518305682781,32.093442722518866,29.277952672237667,32.570403746643734,35.53595789121,35.362342678571366,39.049276049673544,40.93665415118115,38.570523398228545,41.157149932461316,42.0633341930743,42.22586687911113,44.77533502289679,46.664534601230244,51.216536624385306,52.493104164834165,52.82825096438735,52.01916258517448,48.79627562674261,48.43211001317602,47.46617153771568,45.493217201420165,41.69337341594194,43.549893015634716,38.14110083895079,42.035138183491675,39.29355318341876,33.59793903413375,35.67136366681605,33.50726367530743,31.956522412132223,30.34907175112735,33.25590405938953,34.06762461460441,39.23409494605649,42.6836823031128,45.640480111164635,48.836466706201925,48.85830705011007,53.58478036167011,50.30326867329693,51.03495174669088,46.26120155699948,45.64421175480102,46.82599399136623,47.254593154598076,45.99220951824328,48.56031078736859,49.05550529273241,48.8700038265568,44.84196833557885,43.482533142989105,41.16831528898031,42.1442706835603,41.488120939417286,39.87120583142082,40.1349924360978,39.582650857180184,36.94898587924218,39.89113509542952,38.43487773759893,40.595332144240764,42.97769618165616,44.6275195351634,40.95505696531434,39.450413365193135,43.59757103475511,42.16381583171145,36.422103482204946,40.2418605270337,45.13612189031292,40.141178393607696,39.05010907643896,42.79231812278999,42.94468188561277,38.50639795947265,40.003453272803014,37.593145034299425,43.38037018723732,37.99502452405131,40.49604873967405,44.52208172077258,47.05590449106052,50.782058229777995,51.288251521031086,53.22968699907381,52.02470641121079,54.49953861719744,52.88266467719843,54.649100125977796,52.35502196218744,47.32534302262791,49.67799550150818,50.143262779729596,45.66401557442905,44.396362995587445,46.079586222164224,43.57508140728425,40.20848481771523,39.767432684337855,40.161972298174206,44.57289349632613,47.776253068898434,49.16491939052097,52.56555694440116,56.3083624504027,54.68055953130417,50.00846032084053,52.821082710014245,55.03337619168895,50.55561669855478,48.76950617658471,52.38928358480068,51.63743846729482,47.724521221954895,51.26883462055626,53.08334002782574,49.64687166889413,48.740001123712624,51.96631602384075,49.45473828566837,51.72480038358649,50.507104532634585,52.22656803056173,50.592159598222395,45.55089715920084,47.362178101817506,47.179305389012335,44.25242716943761,41.95806039660624,45.6173845767926,43.20122768280725,38.64886953671108,39.59577904698176,42.39541013804521,39.50161837001351,36.0234395289499,33.147899171520535,33.039171600338044,29.752274113299258,33.96947116011214,31.047463475200964,34.084188380033694,33.69766148639064,29.294087858954853,29.241130187988194,28.41429443236991,29.666411902029196,34.18268188253557,33.50318690005535,36.53374940321613,35.14661306413644,37.387513844604015,42.66156405304187,45.31416998164551,46.54194060812918,41.610342111367345,42.27479703409616,45.995975359328504,43.29601564646607,39.74063232106345,43.65047693861054,46.84932783837156,47.11950274637567,48.78929937368251,49.825258007266775],[39.60708644901196,36.95831331332362,35.77558306236828,31.849434344852725,32.03563387440176,37.20680994982807,37.190099782726286,41.597399021694216,41.604466075254805,40.137366224518054,43.29239581285177,46.81101307756919,43.14160898905594,41.16052400014112,45.82454351009624,46.366163982648224,41.960174099674774,44.24986534208795,42.45991619049322,44.578502184011164,45.5186426507663,47.58259598029991,46.51770775982891,43.530616409325795,42.31660700409488,40.4185365784744,39.865925407954926,39.29768879506311,43.24822575912063,45.782856241045614,50.078838064174356,50.891555387355204,55.198114498889694,56.78335330840194,53.28688333118478,49.574640310486316,49.28433152816762,45.61520874158578,42.96886589652768,45.791052600411106,41.27605805096279,44.202082350902295,47.07125779926535,43.99777893149423,42.76295817136073,39.52345139795908,41.629711250885514,44.15742600205916,40.70806560311454,42.27750870240934,46.77692336164789,47.86454481320765,50.65770648438763,47.460148602302226,53.48297703827712,54.56626326833035,51.026107921411445,52.92564869614564,57.14385689222629,55.31718497154512,52.757342130441316,56.47051197690538,56.73924660817946,56.54013615156846,52.734821417172036,51.128106029884655,49.11722899732315,48.70602073737946,45.647564133405275,46.65319736363566,44.89041354359263,47.16092393256544,49.802368720841564,50.353831923666064,52.03574091280544,57.343189961272024,54.68029667848871,58.96191284627331,56.71370413405836,55.63958262960569,54.84334877531135,51.98182671323708,52.212111529970514,50.038006263404405,46.04809259753664,47.670518934547786,48.95056752227946,52.80218565802211,51.669967407780746,57.182059687702,55.04237436776005,58.36640238184551,56.58770641544958,56.224083473219906,52.159573119884264,53.81516546165175,50.00526809803137,52.70605400369382,51.173203136727416,54.228203207511385,52.68462378072074,52.02127441341759,50.881093000162,48.90856843944952,48.143119875039666,44.636195393035486,46.33977228715583,42.977592214226746,40.77385511782519,43.20932355734934,39.97422398365114,38.851389935652975,38.283355515981114,35.391827668862916,36.810367810339095,33.55174605826246,35.811561619611474,32.40389409408918,36.9439572148935,39.392783945019744,36.889780571294295,36.546122882181386,31.843036446959037,32.46886395199329,33.763250467768614,31.838477352582565,35.27898356749194,34.62472733190362,35.99484484212577,39.21446873591276,35.44343529636479,39.199597988346454,37.39385838362481,41.301606850214355,35.51222014983206,33.968787121413754,29.641164384997257,28.931881548431633,27.322365140644926,30.22090171987865,27.37947680351241,30.33844477747472,33.708812342467596,33.561758261276445,37.02199530474883,39.30499347158362,37.07888500460442,39.912506497237146,40.77554782370073,41.432139934146015,43.9079577084895,46.29024463393305,50.66513243201511,52.49793613212243,52.72612953047941,51.50014096925969,48.17693250128926,47.46192352769444,46.37949269694365,43.99220770333952,39.82294068609838,41.70630256169798,36.04590132053111,39.67264639353415,36.43294787493458,30.660497182189623,32.41370897888336,29.841504406762635,28.475122216283797,27.32185529114305,30.357771697488975,31.562646149042617,36.61389300897244,40.23007130788664,43.40240143962288,46.76721008727644,47.16217550841071,51.57390743291502,48.004238548240934,48.58913106651406,43.534620796720176,43.27298439477205,43.920988242165954,44.041104003826916,42.83797052272421,45.21660659763724,45.94164900420054,45.36292029664067,41.578010342687065,39.945496527458225,37.613809292031924,38.73700422588893,37.85648562787097,36.39241943638852,36.70513955316042,36.19539001308371,34.013298582766886,37.12228423309297,36.0896820173134,38.56623548017183,41.04338048687503,43.02791625068981,39.48547013439937,37.99034144538766,42.288692868803174,41.25358720872804,35.62016630910708,39.393261764547226,44.495725621589486,39.931224154832634,38.90951727084286,42.72251699826454,43.15754018063901,38.969653292801226,40.432816951858456,37.70766656739229,43.435751420765385,37.57026465887164,39.810735707749295,43.9160337852705,45.983052717544446,49.930884189813014,50.029294334577926,51.811394915787645,50.293425792003184,52.54004112788205,50.84822666897178,52.27256728098451,50.11346020520504,45.194698256869266,47.22065258212444,47.44655721313021,43.144675446724996,41.808482796684586,43.101002094661595,40.61095538266646,37.557315285174354,36.8003846830275,37.79934649395112,42.08368087611694,45.28819402399034,47.106543317619106,50.50260779402899,54.47691036701011,52.88225964138484,48.216681154918724,51.36112253346889,53.71525416923023,49.31142238257784,47.667450351741294,51.57706956682997,51.05615897306579,47.20765521952012,50.66788691614641,52.77052547715448,49.64631742112182,48.572136692075624,51.65882562341216,48.915438077391244,50.82473420354497,49.309351441288115,50.779580657967614,49.516164923086976,44.51119061045415,45.80222820906232,45.71097717648054,43.036324123382116,40.338172926947315,43.694404096037054,41.62740033271288,37.16572912671665,37.52226411506541,40.27911122907151,37.7607112495197,34.38405634093449,31.93349470577838,31.77237976186875,29.012473800050582,33.55888503138142,30.855083643065505,33.594746238046795,33.63378450364483,29.35519289106407,28.682543332175054,27.42287002372154,28.196703740260435,32.69062424489442,32.16946940664076,34.765381863332394,33.79342155637539,36.558967087642266,41.60344542876879,44.40045282918941,45.83366655963558,40.99539799588568,41.92058014058833,45.82662748923695,43.20107292465848,39.94716530165471,43.91549329677991,47.26355614614939,47.60883588757321,49.35259453601098,50.22954352974337],[34.172868291622926,31.418300898504956,30.10123954896114,26.134292941478673,26.254919163479837,31.45205742226557,31.507805987170023,35.93373050261332,36.07889690099576,34.827040821171515,38.09636339598085,41.487158528059254,37.982731225298956,36.176286682717134,40.96272592200198,41.46890836180125,37.24150220228971,39.875741384969515,38.60263760249491,40.666111582670155,42.04597448967809,44.31152588839472,43.5635320164576,40.845804890726086,39.201852813110484,36.99137039330845,36.012142632198554,35.03036778076383,38.767159405725074,40.98995557468899,45.482663647245175,45.96848903485755,50.31345490370092,52.1692196618299,48.658597929039296,45.13196241137418,44.58646402031097,41.350221920094505,38.82515091192654,41.947626780216744,37.63979250547312,40.60360987116002,43.70552403494943,40.91500277348655,40.148496626251124,37.04383272813081,39.496736014490615,41.56504636955934,37.780093635774335,39.62081380292326,43.97249442620583,44.8868506490892,47.550865628175714,44.03352687089052,49.93838900105557,51.44927200149736,47.921472019809265,49.36741006028797,53.76220852905825,52.37979780955425,49.57846495271659,53.12132176218907,53.08261804067065,53.292640675600936,49.554693920912946,47.53842654389871,45.5566310038188,44.74880603909562,41.850098151599234,42.514792801899745,40.963699868083914,43.460588082986206,45.885090107451816,46.73644075336581,48.023237920474465,53.525092632668496,50.79300934390269,54.91957912242222,52.659580335809366,51.74850245271641,50.638137349687035,47.90808842101761,47.75069081319901,45.75520164530421,41.83523810152719,43.26444136710055,44.80840957814275,48.349281603937214,47.48485799718629,52.82146125809209,50.75644277462431,54.2076165562742,52.21212070856222,51.59430818698679,47.39853778856749,49.05836717449088,45.145676473167185,47.65509454553972,45.93583447519246,48.783297223808376,47.44086006212772,46.58285828351991,45.69746803652156,43.557693190393415,43.04409908038356,39.327207750821806,41.0740563608784,37.80470468975436,35.38337805454335,37.72237214019258,34.35630352158455,33.381271644104466,32.73485193897208,30.041359982726057,31.676388996651678,28.618595154141012,31.22212943169748,28.17296752243534,33.16751711214317,35.13555046165367,32.57533366586731,31.864096954438555,27.101516828098752,27.35608195505719,28.346314017830927,26.38280271041349,29.590015494700534,29.110114184807244,30.552858752353266,34.01644360479024,30.34641407208288,34.30881411296321,32.77762476915739,36.499758958340955,30.72595222411108,28.906508559713487,24.463975283319197,23.82658573377856,22.31402279569845,25.529022726444705,23.334974643128476,26.866304263727418,29.86213194296039,29.272946749098093,32.84268900105918,34.75927581392133,32.31452165968229,34.85862257921894,35.50787587372845,35.97712540027312,38.31775147849409,40.667718682321464,45.00186222558573,46.805900070080185,47.14356894762315,45.96201610786016,42.73984110848898,41.97887178042942,41.115619250334966,38.67717263658226,34.77107473026171,36.958386628451365,31.461648054639713,35.33978304799605,32.33848528566525,26.698729684152262,28.438088778613977,26.41760277595401,24.56167787001953,23.025971993376423,25.852616112149295,26.90985458231783,32.08181354120831,35.579952589156576,38.682107284498606,41.85516969450862,42.219500427644974,46.72438218462735,43.402333043220224,43.92223745848547,39.09839336861119,38.36689347452757,39.38344622798788,39.793144058032404,38.72694275631788,41.4359840916889,42.19372708166189,42.05318484534959,38.33187323602044,36.65464119489962,34.15991662116146,34.86979642034108,34.12464137544655,32.38354822066177,32.58142450354563,32.04110347674594,29.379875749588763,32.3990382900855,31.131358446348173,33.31804854390314,35.90266139956996,37.63604768188669,33.99176191610728,32.67663444686021,36.97432332288871,35.708431997445665,30.14360437137246,34.10378076706158,39.06370403342915,34.39690755629206,33.558506509782994,37.437035019396745,37.68590784958968,33.59806410600841,35.333893140793855,32.64400208168785,38.48478326624334,32.97729622689285,34.94193999382628,39.092052979029134,41.424715828765656,45.57556564534558,45.663733273140146,47.135944673775164,45.606928420087684,47.845099039998914,45.966920226676535,47.70452479190515,45.692595270668036,40.49036663347745,42.60024093726536,43.25748758409322,38.87808326864579,37.33056057826637,38.89797098185398,36.755337524583524,33.401627021177916,32.47019036729545,33.03516337124283,37.19368021714104,40.47260992889481,42.06849766035196,45.37073876513211,49.2730302300715,47.54606061323648,42.905829592228535,46.01920352115772,48.228174742111186,43.75176539664363,42.173830653295965,46.02654482783747,45.41806920713211,41.618376544336094,45.217953902491296,47.2456616303734,44.074381235760725,43.17623765209637,46.358167858110235,43.69102611522819,45.62533932744253,44.05472173661309,45.75596107619132,44.55154744289501,39.37164886216869,40.827098510687456,40.99001467713209,38.234075784904896,35.47817928672798,39.25046856565564,37.35207675940581,32.59233632560068,33.09471153036984,36.31515241544967,33.88640200726102,30.251582575061626,27.398515292408966,27.94704016202419,24.905077751473716,29.281565893741554,26.056717114529697,28.48611579937639,28.214808564228626,24.12362149451578,23.44272301847518,22.537820784201813,23.155362085831037,27.57842445750829,26.667720136045176,29.379177675680726,28.175687073336103,30.854173878721237,35.92987692699405,38.73452678553023,40.09200817966401,35.23423437483295,36.1969627595826,40.07067762469053,37.420160774571954,34.2042138155669,38.2342975067049,41.56369794418534,41.91063655359396,43.684188054728075,44.567244057299526],[34.248771090972014,31.84081795029428,31.19946950778829,27.375708840960936,28.511770450352397,33.34850813827272,33.914040944283364,38.46050214716619,38.41478429132154,37.55658735904721,40.75903066037529,44.19198289014534,41.1710054747651,39.10431680811239,44.06472100021657,44.8436547248195,40.82784448770225,43.62969651504293,42.52005768945373,44.861532262148465,46.3108027058997,48.81278449832345,48.001945970725174,45.34250611040002,43.76720210383939,41.327605257565565,40.40647470050262,39.17084426251288,42.74576697645736,44.79847616055343,49.06457486943421,49.579524398389744,53.843006260664275,55.93309169422771,52.57547884170658,49.15737660129881,48.636699277403174,45.698357851878285,43.33150597377418,46.7126519124693,42.41355770846962,45.18180993921055,48.43207105497261,45.74630980259244,44.9751701061206,41.91065959668576,44.419581653328315,46.52423250681872,42.74476448955823,44.69422073173985,49.01922872922575,49.94036564475364,52.55408057569031,48.9441856608769,54.808554152996535,56.39154120455477,52.79198634894149,54.0984961830786,58.55682329776772,57.22986557793444,54.25760252825407,57.63687699141297,57.44508386270696,57.61392417527997,54.00687852241657,51.931332106488135,49.63204325284542,48.670921202471284,45.543481758338594,45.91221066102684,44.24504140322923,46.53774321445218,49.19872144411232,50.35098664614755,51.73351925368443,57.410927140437316,54.92718208907387,59.022361019704036,56.93633491136933,56.23716227841128,55.09242303052316,52.53482107318011,52.20257813513322,50.37227022311203,46.48767362435201,47.71992857734375,49.28457482682714,52.62960118541031,51.721160755249095,56.87233743492043,54.638705876558554,57.9490558211347,55.75948924038827,55.02223787467728,50.69635707081427,52.080699734054875,48.042051201694896,50.81172846388949,48.968277296918735,51.628127448081095,50.82011711924874,49.87622659228689,49.42125662392559,47.139735436964074,46.985805397497046,42.98448713774958,44.63919311284134,41.3994148054167,38.620730037915706,40.96050793245091,37.36990941827057,36.82338400989518,35.856463403944815,33.55628074284466,35.111622453682884,32.281399441098245,35.05093653975479,32.18820356603449,37.11188600143426,38.849216105044825,36.04660845032682,35.13525432324908,30.42693092177055,30.552236258902713,31.24260690627613,29.759211058878666,32.43049413188566,32.50028506428857,33.959239948781786,37.78981778955324,34.015452247225184,38.03887623237235,36.91357108186058,40.61617979739078,34.94866831882251,32.988929606152695,28.33513356323316,27.94167875873424,26.434474679573857,29.85841007815965,27.851222132863935,31.578791226284903,34.33782653583729,33.66929222135571,37.35836578831428,38.9762923181781,36.38854866242902,38.64181531547349,39.15318604145145,39.16798922180171,41.34533731976702,43.327327519799276,47.685137420637815,48.98155171585195,49.62899733194954,48.83599448290903,45.810713256189736,45.20473016897005,44.6371374960678,42.3321065169801,38.813485546881296,41.181577120434824,35.88116875855891,39.924309122155684,37.117105379166546,31.56410689191231,33.24143938978377,31.358268507432044,29.262442171245915,27.723567523971933,30.387581058378633,31.403337904367753,36.617998674694356,40.010749995558925,43.02614546931163,46.01357282418247,46.2520374749773,50.9001324156228,47.810976693495036,48.297949741101576,43.65575715207434,42.54036861395222,43.7712203286512,44.30111934420112,43.405954572573904,46.27511094260999,47.07639186470189,47.053600185034064,43.35336766809602,41.67055016378285,39.11386545077191,39.64800113565053,38.82323703221494,36.89919870333094,36.862567967105804,36.0099890693076,33.13163133424335,35.819481613238146,34.06474680684052,36.27936191363549,38.40206110355482,40.101973665300555,36.50809471810419,34.750290732073374,38.829194900392444,37.49521391250512,31.660846556406433,35.35266460101284,40.31212407587073,35.41008198284994,34.19209714807668,37.909967114371504,38.23653144571354,33.80974659438968,35.15929315425352,32.664106893775084,38.421730977814114,32.96045080048131,35.47199242487478,39.492732990074785,42.036055433330965,45.76324140535489,46.292708689468114,48.25864696473331,47.132020639051774,49.685765148048134,48.17216133509859,50.007094346649914,47.61458849047127,42.60430836640031,45.120332807908085,45.61855437079891,41.05718715363774,39.89117241261467,41.793933581330904,39.20983277836784,35.68724451481479,35.57163883955975,35.639597449551474,40.2812937289439,43.383972891420726,44.579906390584725,48.080714293719765,51.71109553609548,50.25210018702672,45.522329209452494,48.137557738603924,50.4632972672341,46.07836887253947,44.098471864931874,47.702518630987974,47.03449059249299,43.04324750882541,46.45463445399789,48.331560910471836,44.98222447706181,43.9034742020293,47.06583284770022,44.51373367043929,46.79383817583188,45.65858336558154,47.3369503587935,45.61117680586358,40.61867095301889,42.49431416056588,42.22906846406184,39.26750615260104,37.083608473767825,40.76814284654578,38.26675135613694,33.702780368147344,34.81834638710966,37.628941314018896,34.65517845006511,31.12886582858284,28.16187296227255,28.133760762705176,24.75910074233612,28.958619505539538,26.032682996124688,29.110738488729304,28.898216088710537,24.420690140966002,24.326049059434187,23.438648541265025,24.844935677292174,29.37835653974159,28.965221206557942,32.169771739454625,31.02431690910516,33.017019813312025,38.386224337587365,40.879373200612065,42.37394048094465,37.44143557394589,37.82995767736719,41.66548769050665,39.3069717808797,35.523918523712766,39.24597924918386,42.61951627797676,43.05204255153803,44.86756718225322,45.96117047700947],[36.70634012992033,34.121795258623116,33.073063870251936,29.789043791653853,30.35611967147045,35.752231485360205,36.33970150176666,40.81069029455874,41.20295971083782,40.36831608881434,43.71525384412578,46.98438185156991,43.73528212109853,42.03144845920676,46.91619831244699,47.42547419527308,43.31444843290256,46.081547152487225,44.90889967368819,46.90158070312728,48.303593372075404,50.46204818200109,49.72844772262967,46.941412340912954,45.319614183814856,43.23119513241034,42.18280903578529,41.20245594014113,44.885844170509884,46.95401103598141,51.59656584687555,51.860298723927365,56.23948379665277,58.23167009400927,54.67158863898892,51.228103964964156,50.48099922340667,47.364552530013974,44.766403998389585,47.6366918113845,43.48355544680541,46.67835066518299,49.65611085678483,46.767589560875265,45.96497728642357,42.75624621623007,45.027770176672114,47.17756913091189,43.380535776294124,44.896356492415684,49.33921750542357,50.11103990745965,52.95207178694262,49.62539773236979,55.51548828548556,57.050331069965864,53.69324919146981,55.24898675565287,59.58624762469486,58.18273938520592,55.58632418068312,59.24669441856564,59.265171640856636,59.519136816272024,55.72513222059091,53.72438917661055,51.8552392454444,51.03277033688147,48.165153481416084,48.76318371388801,47.220597314209456,49.68245816396506,52.14833866121688,53.054762767281616,54.309509889925195,59.82395154836335,57.03415205222501,61.12602825143931,58.78582101361115,57.781497272858026,56.528527995397695,53.64404816980249,53.3219123482712,51.14653288271766,47.35063595319394,48.99297669893529,50.75102010468137,54.243793650960534,53.59564554680443,58.92627939393492,56.95141048157052,60.45565081171929,58.404074661621934,57.68246775115539,53.42037507649187,55.03791902586603,51.04720501380858,53.4699538651594,51.567710306042905,54.10781268460827,53.013913387932114,51.768269155414956,51.12876927482587,48.585672663773224,47.89585455829018,44.00744873936042,45.29758688275607,41.79736109424294,39.26665719476805,41.965560793546466,38.7192263068438,38.314419721931486,37.869570908869925,35.49868105771619,37.47795164693473,34.58934168529726,37.36113679910508,34.423539281965354,39.48529684144375,41.38849927852456,38.80805202553181,37.95461581777879,33.18850581291006,33.20499888860985,33.8307962306835,31.739731707829513,34.26766854864342,33.873929460138704,34.91040071436814,38.464914759466744,34.25195341881689,37.94920786092064,36.727215317303205,40.797336865327225,35.21700291198401,33.81742442846948,28.934569357975096,29.077959060936667,28.023391115701347,31.356292551475473,29.453435086050238,32.90048079389229,36.01316459820095,35.32232695516732,38.80452457497982,40.72982792670827,38.2225210764658,40.59929271889256,40.954286707824906,41.3056629590272,43.26334734356922,45.63957386093645,49.76957292501824,51.434232614952606,52.16448144390866,51.10345899946655,48.08943463444919,47.12812120989195,46.619750224937555,43.850996478551565,40.114319082890496,42.6610996893848,37.159538656192474,40.97557248032503,37.63482306433467,32.03535665464176,33.21089298740252,30.886754607358302,28.802078695922205,27.89180161885417,30.61115779583445,32.15646450745267,37.263692489578276,40.81199415373575,44.063189358008714,47.142231905993654,47.79381150682744,52.12866357592801,48.82228678542706,49.080736962396664,44.187160310884906,43.2530721553938,43.90971031086332,44.107137464571075,43.44193564015144,46.19252765564195,47.35333935332523,46.88883972653443,43.5463558701007,41.47397903166795,38.83027076995271,39.40607878740496,38.190908763868016,36.308986272789554,36.13164198382222,35.05874849875541,32.63585951104023,35.29372747612113,33.745751701348844,36.46584154589946,38.3380491613789,40.514464412114656,37.15780699606162,35.040214795170066,39.15637664929151,38.36938382832344,32.493037174478275,35.86671279428259,41.12441205408158,36.69444171580064,35.26715921893163,38.925587592503256,39.74110272148744,35.43998620568086,36.38965569696522,33.60881365600113,39.146680224341154,33.01210424797024,35.5986723951499,39.605319001799,41.602245060444176,45.27033412798896,45.57634879403235,47.7520793365714,46.513706288508665,49.00640067812076,47.70690463211321,49.114162911071915,46.57700800813331,41.90499575645538,44.293307442329464,44.28471840011501,39.81703642969642,38.88996557039343,40.50887550563472,37.53430825202406,34.32662583636684,34.465121859989104,35.01027499528559,39.89807816118214,42.8553433636606,44.345801243025626,48.01761283940598,51.75832550388931,50.57939200417828,45.77876184757685,48.458405095700655,51.094363077618006,46.89794669716556,44.78992545599836,48.604868934926095,48.22721823203444,44.180691801257105,47.295746201926256,49.46344239480274,46.43375921458771,44.95844975170266,47.88153003634062,45.09097704791405,47.124521450251954,45.925875200032486,47.203904539453774,45.57755688097346,40.8201936257406,42.26866446083384,41.75690745827642,39.005257681141146,36.711852220531725,39.84368768691564,37.330567789707274,33.09831626438718,33.84183848432935,36.206107791338084,33.31433190884298,30.05821014930745,27.686816291725037,27.02239049210164,24.237842842827455,28.776313960956557,26.52791856237274,29.676113703882766,30.18204955091343,25.633197045248533,25.05513022732161,23.48751310898422,24.802476077965366,29.387595561535484,29.644057623643473,32.59838496402519,32.11910870755667,34.33507492615934,39.59208520061729,42.03782900149363,43.93600092732254,39.09177482419661,39.39786129671302,43.452245969039744,41.437994099567035,37.662352090826644,41.198902529576266,44.79629693671605,45.39719599179875,47.33369401847618,48.364107389426124],[35.020804249517525,32.216685526905295,30.74939558398118,27.570309055951796,27.585018710464503,33.26636830692055,33.71572118709255,38.10697331330469,38.75301393338795,37.88554139035069,41.32498442797765,44.46208851331411,41.062288934608404,39.63916595303334,44.46099904443268,44.778563427690514,40.663940007979804,43.484179356307564,42.45142182397054,44.20782919455272,45.73860513012666,47.78025039276082,47.22195478459595,44.498777548383806,42.678698640523876,40.666407447000175,39.396200534089715,38.422909093690016,42.08124591241217,44.07353384328664,48.962368437265816,49.00856496280389,53.44779304208065,55.42913430725874,51.76397441515348,48.365380135993455,47.44232542787538,44.35928628519848,41.69912759414888,44.427368424628966,40.42360710593647,43.813780916088234,46.73476604635029,43.876247010253756,43.25734435173091,40.06319596237853,42.36818158255231,44.32443522615623,40.40508130604992,41.850279641978375,46.260588687472485,46.91294760037674,49.77785132513443,46.450650655068785,52.29382673751846,53.95663462364717,50.712237068739555,52.20230614215093,56.53729973484214,55.27485202402778,52.76088266624599,56.478798148027245,56.48982909454913,56.94500823660091,53.09265907335361,50.98016654177734,49.36965392942913,48.488008030606885,45.85665970751416,46.4851913733613,45.112555556701736,47.76882773401207,49.9979502648071,50.8423671431893,51.86339084737604,57.32244711375979,54.339833202127515,58.36422400398976,55.892435119332504,54.793066896382165,53.39920057746571,50.42049431810649,50.007267711208065,47.750568233387455,44.01372518119336,45.764477883840875,47.6724059256274,51.13767337354481,50.69282566405443,56.04941880308566,54.247105308681974,57.894366776251644,55.87287747656139,55.099718122707436,50.86751605590444,52.64472979589834,48.68838879359004,50.83106491654636,48.88821217589198,51.367398512407,50.08438420757731,48.70629692954798,47.964293089003064,45.33429162552579,44.460094783093645,40.6331618459296,41.859916631836704,38.31576892475451,35.90497569821747,38.66780032487911,35.563074101222035,35.11955440763463,34.92143437951139,32.49737491999599,34.71569143928895,31.845896178073072,34.67733161709279,31.833350584579343,37.09060999362418,38.91276688936564,36.481326299709636,35.57093578411234,30.796117036045086,30.66402853281559,31.22966170433698,28.785605136563046,31.318821837711173,30.664102736118913,31.579074930645067,35.00541843475168,30.740573945561316,34.39116316275823,33.11049539273011,37.217553688904424,31.653868342798496,30.384208618283964,25.471112298027393,25.768077200342084,24.938270281560737,28.261152055098673,26.634572002143077,30.10482852303049,33.22576202545545,32.380871912080146,35.766735050674804,37.72626375110803,35.22326368165798,37.59881782949919,37.85953336700579,38.39231199771714,40.272833780558464,42.874532736990886,46.89875843848566,48.83745244991391,49.52065907641797,48.26374675828579,45.23521922263863,44.09792621829922,43.59558393585231,40.62946539757114,36.81853313263163,39.47134061676195,33.94476624219239,37.706133780285434,34.24358147401116,28.69885755163593,29.701729939900073,27.423053213564277,25.22500943699935,24.3934013616478,27.073554022599083,28.748813309271654,33.817359474147516,37.38376125383242,40.695040292822625,43.77511833502439,44.5821875530621,48.79244678167009,45.45105816053797,45.62454097954436,40.70177690066074,39.7691292481377,40.32105971515939,40.49243418702721,39.893732552605435,42.68032565589938,43.94440993935222,43.48454485346569,40.283983973425464,38.08235061214462,35.375748501877275,35.852187925888444,34.59883952293746,32.683118231016856,32.49649158034902,31.45479015374256,29.05385110317709,31.785248154503662,30.38255221794892,33.12590161703785,35.143741987426345,37.36645903383353,34.019655792141705,32.03707714509884,36.25209377997653,35.549285615716705,29.790765182915436,33.260018565402234,38.54451127490391,34.29074450721283,33.030125632637876,36.76822829010551,37.6040285424755,33.508932456272326,34.624466740036674,31.70211796904225,37.27662509484077,31.095651190927253,33.3586699814151,37.443560645067336,39.33296797819411,43.26223548353069,43.3201148264637,45.20889239387317,43.765852978653186,46.11146041969376,44.637345963180984,46.02634515372088,43.667784590348326,38.876518539458374,41.1043290061725,41.208689122423365,36.79846469326698,35.68696235053185,37.21217480628836,34.45308305489336,31.260950270537165,31.06847400208954,31.765160373420468,36.49054323539162,39.50837978446017,41.14730764440108,44.75092507836554,48.60052681142721,47.336747998139614,42.56259916525489,45.442695522877834,48.05666945432208,43.84756619774047,41.887295507791194,45.833707588444774,45.521056341347695,41.554978092233696,44.72396772557718,46.997342246103905,44.10179468197435,42.66795100537873,45.57962057473235,42.710792774046425,44.552316004329505,43.13618751940869,44.41677544161691,43.054075371351544,38.19997969739783,39.43556615945347,39.143251016091924,36.49125534187862,33.90296864457333,37.110027123444745,34.91682333320073,30.544756288475263,30.996684221857553,33.627373830849656,31.023817197018165,27.661369298671467,25.3083727268588,25.042159825408113,22.413451017811663,27.058478399892326,24.618290295247455,27.39734569049298,27.950198402592513,23.60259122699176,22.65358261684141,21.025219806858203,21.941221635289477,26.48327690178031,26.596684207956642,29.34052060161337,28.96144394038933,31.445033048245627,36.565255046938525,39.112208061654634,41.04175686463471,36.253448601782104,36.7600229145677,40.873132420268966,38.84355873924569,35.299256711911156,38.91863139319188,42.550571448299735,43.166817322062435,45.131257983589286,46.06883996909038],[30.658046211059926,28.039969741780432,27.027410997399485,23.915176763588807,24.75928242395052,30.106763613125096,31.029486580480203,35.51470469730017,36.087103534095526,35.70530153784073,39.14861544735988,42.21216865939212,39.35381973139986,37.846500249004094,42.865702460342405,43.38712530754199,39.60756710284895,42.79373648008884,42.27553117072135,44.22981843001559,46.12176362263397,48.517646682446596,48.12642013569482,45.668396973532644,43.62146251246535,41.18452734425673,39.68413557665084,38.194709089713115,41.528606801352396,43.14327107027338,47.93423974301324,47.78667848339761,52.15855451219001,54.52030075898713,51.00243182593543,47.84354508744739,46.78674662201203,44.29247776614323,41.89490282049907,45.0999654334135,41.25517587405023,44.42755327627597,47.647228004851975,45.11845185621611,44.82798415651721,41.808291509548816,44.4153221162224,46.06365377039528,41.9551115703887,43.74501800823941,47.97430591899433,48.53751584821726,51.210804934656295,47.55719214831777,53.247323020222545,55.26460663676479,51.94754743554883,52.964008516531706,57.47143295384042,56.58035357599149,53.71864251667857,57.133747414466875,56.78179581419739,57.48250303671522,53.818965512063,51.372671990183726,49.49720099329528,48.205092646117365,45.506597666161284,45.639447012649704,44.33409895688719,46.972256377873705,49.22051309735629,50.52429687423164,51.33892079666516,57.062742614563454,54.266634646075495,58.13891042421526,55.834101513740414,55.060662159624435,53.43861312872028,50.7532923597399,49.928085916575796,47.99934159943602,44.34935900524389,45.72774954709602,47.800083145411286,50.84965975174385,50.5311868122879,55.57097323238138,53.67130216465599,57.267196912838834,54.93527959558372,53.88684974000339,49.47177612222777,51.0136923569694,46.90082914487081,49.11688448646794,46.95207469748479,49.130948037528384,48.447991890874256,46.89700943499899,46.70997105570953,43.89053970150285,43.576454106713626,39.36673531444491,40.60501096358097,37.22043025069976,34.319516682197175,36.93828676438575,33.51416870952928,33.52357588685929,32.94804794238588,31.027229608058526,33.28975085999123,30.792233929909603,33.97925391196193,31.587919951648875,37.043051696124444,38.30651152514985,35.65412885556479,34.320101829607474,29.60641903452707,29.091534689214832,29.170107032285724,27.15591426518311,29.041878655813903,29.039937733364418,30.07394146657768,34.01164845535488,29.854629112451278,33.745519703740165,33.04080821762345,36.876352677078614,31.45112509743936,29.770323943428238,24.695292861679082,25.169452716235398,24.377691136235374,28.06193580744835,27.07208541398939,31.07795027324199,33.66014368253591,32.45008149340209,35.99740637154109,37.394995699722934,34.63233785829983,36.5234683369284,36.52753489618206,36.51298351862114,38.16888621604046,40.40323732806429,44.42283789302417,45.90268733154775,46.901523716040266,46.010289385253465,43.224050911677516,42.21663403437615,42.11043739197702,39.28554768255974,36.04205567718854,39.017728146750436,33.850320178510934,37.9222759137175,34.91776721471331,29.6257878503299,30.659339575630206,29.02674675616182,26.333361605828816,25.09282213651436,27.417061982046643,28.818962256175617,33.96157019692661,37.29200832876281,40.415161021671885,43.17104728433316,43.789927947790346,48.204359678155285,45.280002999666515,45.41785879456055,40.88714200751389,39.27746838059631,40.37680313106904,40.92373232634401,40.51476973177283,43.66541920984072,44.90116763096971,44.93788752668063,41.74745779626726,39.61617597172927,36.799552328961106,36.83079851100449,35.71822433393366,33.470635526031174,33.04636397873231,31.79463537177661,28.770509312334692,31.12886867461565,29.098186136395945,31.51763667677073,33.274970803349234,35.17866633481712,31.761516507993445,29.61705474637774,33.641059287734834,32.61103053754224,26.68394986925789,30.138013970090704,35.273201023048706,30.67514546151379,29.277046347616867,32.96424625140569,33.656548555909254,29.345919859412277,30.42785602766342,27.703049093701548,33.36687517243632,27.590226478015303,30.061404271041646,34.09761686409597,36.47461430225917,40.25619433694132,40.69137127541865,42.67925718909688,41.56570440608957,44.164267626164445,42.79132834919866,44.5868050676814,42.07882869954627,37.15706705254091,39.79831764663752,40.22422079870895,35.60570495239869,34.58941554443463,36.65928519371662,33.929061242466936,30.30693845033638,30.59674677512728,30.416066887854036,35.36215376358851,38.30868499135752,39.38520097459458,43.03305484640096,46.58357396905963,45.38118020214267,40.57717823434537,43.02009527738066,45.55942690796228,41.339549679160854,39.130429275896105,42.80370826986741,42.33408671958519,38.258438836977064,41.435550107287774,43.49432931903082,40.37625658157233,38.98885445052563,42.002481115267905,39.31324452080504,41.48952122848709,40.382704415556496,41.900152955271416,40.153623992840046,35.25962279265423,37.04399034696792,36.65960143594351,33.73372125952946,31.584393943495222,35.16801439445956,32.628743866416045,28.09966724953651,29.263555938901128,32.029185104796724,29.041136915721314,25.494283780058197,22.568504927700943,22.56963645229161,19.27031764801946,23.59106769008316,20.80874761424517,23.87621074010322,24.132700244972686,19.594639774936272,19.18704669220982,17.978929483087903,19.488097242186406,24.052407550035156,24.162366351817774,27.455012399582216,26.841396260441893,28.6353380172706,34.02803620207512,36.329610817151824,38.25833787949575,33.39139309827693,33.46790717332525,37.50307456662818,35.65811145104903,31.688839166781335,35.12833036848169,38.7650245085292,39.43539823210323,41.4467236217725,42.554889754987684],[34.9955421887747,32.60752350831694,31.877615869889294,29.212382368025075,30.330708387327828,35.66918103473562,36.82312225148569,41.3010316928593,41.90999066358937,41.636538501917535,45.0569622334034,48.12646906247257,45.334756734509135,43.77226873106062,48.80238239455864,49.35777055799567,45.544377976013244,48.653274971604006,47.94569571608789,49.919133649056235,51.63933711537724,53.9221906621,53.391910613797826,50.768594095754196,48.907128283930184,46.63746952183641,45.28983325309475,43.97399018631865,47.40079414926514,49.08919766208196,53.867218007954236,53.761610501169514,58.13821718286154,60.46511849308604,56.9268592287731,53.719444036149454,52.67659317372627,50.044841681304426,47.54880866635316,50.52042525330902,46.63426822175951,49.91618125172975,52.9989762981675,50.28604671013232,49.7727654246001,46.62254894662739,49.01652380110823,50.911223720216356,46.91293624488541,48.43923468651793,52.80224962572475,53.367335005939935,56.19861505686871,52.76266362093,58.519845530957404,60.37501343860066,57.124229279662885,58.39275213934833,62.81480380110762,61.72204380488167,59.04921810180994,62.60579526885578,62.406093856953355,62.95475169092311,59.222561046285676,56.94644803234545,55.087218759075895,53.94890102098752,51.165007710141225,51.40685889051825,49.99375089837182,52.51624797865665,54.90860043606663,56.13012383555839,57.11373648495629,62.7917361380226,59.999300785683474,63.93472408969741,61.59462520710537,60.709186314833936,59.14321895686641,56.31841317297767,55.573937666226456,53.47145327572676,49.8407105072567,51.41382761545157,53.4829764982988,56.65177337481071,56.31901646511549,61.44234630811452,59.54115999898738,63.112042140632454,60.828932575656374,59.831789862835976,55.42416785051953,56.93034478418052,52.809552244937045,55.09046671752256,52.91122103672381,55.01705171686963,54.39891857885358,52.73447069531911,52.57564747500687,49.62209613044524,49.110861874227204,44.90994665483961,45.877220590695444,42.341328083297945,39.496825062705696,42.335472149629275,39.054580930842874,39.284622906838145,38.83431512489237,36.97152728950506,39.27510955507059,36.738915978211075,39.853772452420706,37.31045155520085,42.635275205404085,44.10044681994755,41.43294317556239,40.19997378647885,35.47633755251413,35.05486110771392,35.13661534136705,33.105523056857784,34.79882300969103,34.75958043010108,35.55665913426668,39.40307034650266,34.940135257788015,38.563278425172065,37.90021984329641,41.99616225487799,36.67288249942196,35.33094895645717,30.126518302909943,30.89021119327006,30.21281889693184,33.81596218915421,32.58900077815222,36.35272397848393,39.19469285600733,38.14069126696141,41.63461773813637,43.2143192636741,40.50778655881625,42.46620021655752,42.434345095051235,42.43951702161563,43.96504942376423,46.20251244183281,50.12241605506367,51.506627768179676,52.67688093215949,51.851820797728294,49.13899052733935,48.061351088176565,48.04099085768474,45.08349066150277,41.804803403647654,44.81831763286556,39.547296764286045,43.49883098396555,40.206820460965325,34.82824050762179,35.62177520187975,33.57467922553143,30.997163662646972,30.22112439565699,32.62018852887853,34.3200517153501,39.399214217984984,42.819470556593586,46.054777619820406,48.8518572707921,49.62637011395621,53.92291122245038,50.89723215695029,50.9285683717382,46.25409320042851,44.75010601493263,45.49453149197515,45.797300006793556,45.54691456692619,48.57383552179259,50.011838785274755,49.68788892861708,46.65009885540746,44.329276329206245,41.4967602753536,41.64956325157469,40.228517856942595,38.03184737886682,37.46061715790039,35.934445523449185,33.29247419650914,35.46968393162077,33.41113165692285,36.24398990782902,37.501879257182324,39.76185710040773,36.6044467759736,33.92959162054775,37.76868092294801,37.149908874986146,31.111683425629245,34.02999509089893,39.327430543427425,34.989768497753374,33.15050263679165,36.58152115295383,37.70990007369165,33.28247328637668,33.6814803522936,30.95763953443271,36.23888214763628,29.983200642539586,32.995341269121816,36.830258849001304,38.83323762495446,42.10989883421644,42.730286387897245,45.34896034116619,44.47115403976805,47.233285866479235,46.34900250299202,47.7812345830198,44.86769957912139,40.481360121058835,43.25159527029811,43.04551459923913,38.444669106086835,37.95138178729757,39.918007924141115,36.510230524129376,33.161919703439956,34.223964945324944,34.228959886045004,39.622602089380294,42.30782801356406,43.397027846370285,47.28796769831004,50.73097318587363,49.94352392002976,45.067295951198645,47.21643461864225,50.06614421668526,46.08768858756935,43.53620038177824,47.160157046293364,46.87191969252795,42.66080914159402,45.4260193596082,47.574307878540445,44.58924165212873,42.766673663405015,45.53222946280995,42.76910832632803,44.993095221537146,44.187104474063275,45.31057029453581,43.25055264164326,38.79006838656952,40.49027948862473,39.528710175056624,36.674772106858576,34.92226457863473,37.83073509368936,34.79602598816859,30.8636439272844,32.125161021858986,34.02681868499541,30.68635893239149,27.611951063778093,25.297382503682034,24.04192693595405,21.164494029454104,25.523400906048213,23.818000190135994,27.445584779610204,28.336347280858554,23.57259153165642,23.27765150866271,21.522958914348315,23.499285175172364,28.049678899411045,29.036718781614017,32.34398601054744,32.23504526426967,33.79248700271368,39.20355060176832,41.26190325182994,43.51343774276297,38.7114741394849,38.383341935538205,42.48062264207445,41.03171039684307,36.763328990417655,39.82733950084915,43.580303916625816,44.38921601252525,46.45713086346527,47.64678866132831],[36.13091596373995,33.413231810553796,31.966999656629625,29.779892324731147,29.92278635694652,35.868953506175075,36.848112737874125,41.16028272787747,42.28230631878011,41.93099425069137,45.50296165839743,48.35029677161585,45.22421837678142,44.150854485046,49.028206250434806,49.21703243611814,45.31807983087368,48.38265510848249,47.68916597421721,49.201798232256664,50.94316973107427,52.841658178533464,52.493512111064604,49.82503355415832,47.80868141818334,45.90209763573795,44.32600222880131,43.25530317277671,46.743664700157275,48.41189562376833,53.63443241967125,53.201360033684765,57.695162528909066,59.88857123432426,56.120673165610484,52.92237108764009,51.59727464797632,48.82305094817977,46.10746573962975,48.52223782624773,44.88808100781182,48.62219204997443,51.41016013410709,48.56918329510793,48.15745111290236,44.929909850146636,47.131108175029034,48.911730898047765,44.85468869488435,45.964400038305406,50.35554060627355,50.71175696272881,53.72364948637909,50.555457675111874,56.26088989535605,58.14292212401729,55.1926433000858,56.625471535951604,60.91382584513742,59.852053672015465,57.568963415043534,61.38481368068495,61.36796539917677,62.11247724344078,58.199236075068285,55.93272168576255,54.62080061390671,53.582813543542464,51.18628266138806,51.665945115269174,50.469793745448335,53.25251831907226,55.3145078414326,56.25925339883267,56.987421407669046,62.45473028713414,59.28136820667517,63.1594870530268,60.52312279618686,59.3106499727122,57.58388477652217,54.4316553725896,53.662283640109614,51.22066789822317,47.728220034970164,49.713179307472934,52.01447444406243,55.28862933061908,55.29667794897669,60.577781843672575,59.018980394532655,62.8340340458599,60.71771818821264,59.72753367542837,55.42883925159243,57.25052025829163,53.22665609743887,55.0226946049999,52.80865209325097,54.812092740567955,53.7608134733349,51.800828652808626,51.36062081080281,48.18254336944014,47.0635653241217,43.06993588004551,43.69261362928883,39.93060152777196,37.45301287136249,40.611262413393824,37.77409166747949,38.03086682426125,38.202928901931905,36.21435248725926,38.97115961328864,36.3950925541426,39.48743224299317,36.94485886043063,42.44065455473204,44.00473139657654,41.64473997316709,40.46566026127538,35.72887880806644,35.17290014519972,35.223990125246786,32.47916068854183,34.119359014694766,33.4664228721589,33.82011212660238,37.25649616624325,32.44864402852602,35.69748605155271,34.88487925613172,39.28007497589984,34.10465457523948,33.358637344068654,28.05605174441222,29.33309231655837,29.16881869214033,32.60462503912607,31.633697016047492,35.11507172719255,38.211259456825005,37.068581695668136,40.28332410018593,42.14141247531539,39.54875413480827,41.62201156449293,41.42965359580429,41.88065393175245,43.20155374403304,45.93600238139887,49.584707697625845,51.51758841871042,52.655172981515086,51.43190650951877,48.69801739785703,47.21322603619561,47.1950814948498,43.74733875961336,40.22701308253609,43.396209878326715,37.98859095582075,41.655080949139624,37.874075622485364,32.58247390902882,32.82363726207613,30.473404794871175,27.881753846254163,27.72357651979997,30.089175250794945,32.28836207546757,37.16514486166269,40.69079347403292,44.13360875764107,47.00339794815941,48.222918091889774,52.1345674152889,48.90155797869849,48.69249238241885,43.81206370233427,42.51616695620168,42.6741796395212,42.65991648225396,42.63891480456205,45.55120830286586,47.34608045142208,46.65053675891533,44.044535008724196,41.33172102245691,38.41909676420957,38.54119092701686,36.77781523744084,34.631241381276155,33.9440471186588,32.27146790176332,30.110979879967953,32.305438062278675,30.60806627551861,33.88188368522941,35.06096494862253,37.76451233714692,34.84307728296184,32.03426186301515,35.97447439657165,35.90750411329178,30.02204758146213,32.74199274684604,38.274925464493144,34.53570144786342,32.726739055171684,36.16489991494888,37.68668079493169,33.608456531486205,33.8761214630676,30.800885139763867,35.89052404838517,29.048202271968698,31.760454993869452,35.63631824328125,37.01429119079086,40.49779111402154,40.64345748692098,43.146891042799936,41.95280471657601,44.493454280563824,43.6240933216391,44.63466017662232,41.781438949788686,37.60853841024602,40.07668758756403,39.50113460971926,35.068096242365364,34.623180001779566,36.20773973268274,32.64216898852086,29.645324073959415,30.631432216027488,31.24449463967677,36.65316825095484,39.249460265348304,40.757184323935476,44.70413800092339,48.347033947401876,47.70555931419408,42.826327899722834,45.23824754067783,48.30672974774936,44.486336173043235,42.00982165440617,45.92716696687938,45.93860066248819,41.79655189068977,44.36875161991981,46.852182853537556,44.272351828975395,42.197485469391935,44.74276797019909,41.71249645424216,43.51068993121914,42.42176931782373,43.19049649038948,41.50823541410412,37.17870037655501,38.26144305268612,37.30771694706571,34.76967977243457,32.61943317273704,35.05981136259462,32.35841371757831,28.632067090669825,29.219640689980697,30.930872047966382,27.983411227201625,25.094820133790897,23.427826737841908,21.9412524918851,19.889404519696363,24.63189948890127,23.375746191882733,26.62018420453812,28.13796248219588,23.607379188336136,22.538481416853195,20.14822530547723,21.6008378465575,26.076126031211583,27.491779690373647,30.322464626791174,30.85152450817343,32.850098051339494,37.973816489068675,40.094085875573334,42.65982340724812,38.01555128209317,37.85792593534842,42.14722890159289,40.913469865608604,36.942511198921636,39.95535340321956,43.871402283681356,44.80087622361894,46.95997699856123,47.993491350247325],[31.16913357380271,28.29325982540658,26.615964656185163,24.450677320253615,24.418241582065065,30.432226767386638,31.45440921427211,35.73011627416662,36.999170090600565,36.822426152485434,40.45088213664354,43.14904075195285,40.163382050950936,39.28218120966645,44.17489534287397,44.312479737157744,40.60208781992279,43.89266583433236,43.6134621805812,45.05033641791341,47.1089733550484,49.144724557990095,49.04317075089468,46.618017320727695,44.30152167355862,42.17851640013529,40.292662520980386,38.9163130251436,42.17980811417946,43.577910709321785,48.90859144795376,48.220454075193885,52.7091095010222,55.08562381172415,51.33670645335802,48.3112470696149,46.80048148665802,44.397655021176,41.81441409873337,44.46309062431367,41.027690764460175,44.72727922496972,47.677055862907906,45.09895000374774,45.055133197145835,41.98858628223262,44.444000346269604,45.84448820274629,41.58446240364337,42.93548067065685,47.154023209660316,47.38920447455186,50.25254675015733,46.825208143402115,52.39492170436548,54.597699338114445,51.65074633265048,52.699697114783206,57.10309073441741,56.39721686402252,53.91272666189724,57.54872760900322,57.288098367672596,58.33480574434692,54.514745814147815,51.95271605042586,50.673287682729566,49.344545140484755,47.112943459335234,47.33594588000924,46.32974130176367,49.259175621557674,51.112734835469,52.260915168698986,52.674070381131585,58.23282610444671,55.0354585469017,58.763826788006476,56.145625360724196,55.08132438253566,53.13288064586771,50.126774201747914,49.062802665817614,46.80689774739116,43.388310385181086,45.17754631917832,47.65602579271085,50.65501628775189,50.86244612685575,55.96196400494982,54.471176494870804,58.352375325585655,56.09451905058825,54.92362382967572,50.56949805010825,52.394190774226395,48.3397174083123,49.946883484512,47.61143509267499,49.45121429669166,48.53449721054925,46.444886135679724,46.1939586167729,42.91460025101069,42.02286534345749,37.87012439138749,38.559414359924055,34.89409127904246,32.21989453833168,35.283613825556344,32.338017664767,32.721733445083906,32.8610685659189,31.07257747196258,34.01381475269763,31.666420022705363,34.97844071181222,32.794559496080765,38.52604238710043,39.68656812046044,37.349468829765385,35.90437027865111,31.23884044507855,30.358352260352262,30.120264853112587,27.315007450006178,28.674605323120073,28.14515269034095,28.532927397592804,32.17748784724508,27.473842457706706,30.9400225120215,30.37200599569545,34.5646521265302,29.417020238965435,28.434554765474356,23.04911698518628,24.480422991877212,24.50516431051669,28.11512337555574,27.764344205549623,31.58265230320099,34.30682877624021,32.82454843996236,36.053412251569966,37.5833408017422,34.856256317080586,36.65563857664471,36.276877385606255,36.58764080237935,37.77846963179135,40.49768394415999,44.09568525799406,46.03909527625405,47.22624112240433,46.01650655314566,43.368694915653265,41.847423098742794,41.99656129227041,38.52751962936971,35.25449712197996,38.64638855337438,33.45252151927543,37.27333553935976,33.75593584331624,28.676448335562153,28.89723711316554,27.091619857263055,24.09334228899803,23.60348386618702,25.71612807401453,27.770423806275588,32.67529028352806,36.0579047939852,39.40387882583826,42.09422500716473,43.267278260969476,47.239332032550564,44.23226599085226,43.99118679533768,39.34607102092587,37.6594755643627,38.171164376476604,38.43964862097516,38.490194482456054,41.67160840667269,43.42954488735967,43.150523916669215,40.56778937152754,37.89916590500831,34.89931507009965,34.67291248258998,33.08340292582518,30.701179838623897,29.936518937874776,28.278802123430758,25.605031209656286,27.74557950481533,25.80969689077303,28.79947710549394,30.16431979025456,32.61429642332327,29.545648137172602,26.93603801636019,30.964142113221563,30.637499022356938,24.76489922695989,27.77416074054813,33.2264052206796,29.343786395789596,27.755976281003957,31.344958145597364,32.652300414519054,28.676520607596306,29.31086476862873,26.203695543758563,31.539869801977428,25.020819512039605,27.377211670608315,31.406214618845297,33.13533917308997,36.98627743880243,37.0699306710664,39.140007215830586,37.85536085616238,40.3652198689239,39.191553613220876,40.581645796094406,37.949291991941585,33.3368463044779,35.87026974864904,35.8472351805304,31.29580543973283,30.513886925606872,32.39322329694303,29.297853052730304,25.89693429411891,26.55291013550123,26.72045840645685,31.987720883499314,34.72792913545059,36.0523639219542,39.89041794526572,43.522406131968474,42.66739706598025,37.798606589551014,40.270044204715674,43.165381851458655,39.215440082616674,36.85122748374622,40.76544628663737,40.672888928378725,36.57822975553352,39.3712309864202,41.79617924665492,39.146335787691484,37.294631857508755,39.99383543417906,37.01527973243826,38.83060325681642,37.60401055551144,38.67509108528565,37.11578975181463,32.4751140741082,33.72750634033103,33.14094340646703,30.478350333377644,28.135644125385912,31.17056621833196,28.726707596736674,24.483885782548306,25.19505503303963,27.62491875158511,24.815967628513853,21.468522345763304,19.192670942443698,18.736851186542033,16.212099085807882,20.934697226029375,18.900006774751088,21.791051011561947,23.009061458255317,18.623362744081817,17.404763629560303,15.284251460539316,16.550099365268927,21.09485674355746,22.110052643363787,25.06969373128214,25.40721629011219,27.361633271421123,32.51972770568321,34.691571073572796,37.16787964128754,32.50239193062226,32.431962225177806,36.71270946597722,35.41929545630887,31.53577638478052,34.65188090595153,38.55417693967737,39.46774908638924,41.6455193656479,42.66210213466767],[29.57412160182898,27.08243627823698,26.17430985237169,24.17977336837722,25.294176904629506,30.761237381497228,32.31307195075478,36.67691224414544,37.728651446223225,37.98545887166352,41.53408397727626,44.24242157203003,41.80339421490678,40.67396363893906,45.738428916261945,46.15776211652987,42.708594161446726,46.210436593340255,46.180964397792806,47.915400091292234,50.11814486688529,52.46394660824524,52.34260863286073,50.031650307979206,47.714280958103515,45.27115422465341,43.399055981448385,41.684816833660356,44.7400591345333,45.91892616579814,50.99946572679696,50.3121122227339,54.69787744635949,57.360211055828366,53.79433795770657,50.91760172846071,49.42954839007907,47.41892087117522,45.05579477538047,48.09955116643106,44.66676763385393,48.0945374076961,51.271024404857314,48.87445416773649,48.898203086604,45.913574307516456,48.528581205715895,49.89109589428412,45.595957509998115,47.19479428147207,51.33588916752428,51.59693426326905,54.32925833323494,50.70763555051566,56.20505240866987,58.55070337278716,55.4866902022662,56.280801144608006,60.794632206123474,60.230580774617806,57.47276535061784,60.87628172046781,60.38123301841529,61.45288149667467,57.7948623446497,55.09341188500954,53.45906290244734,51.89697519434252,49.45475188589187,49.31330769232486,48.23448103733327,51.00792049296039,53.042282551139714,54.552287230787314,54.98774972094519,60.76220817035271,57.82887181772294,61.494217216519914,59.08071888292907,58.29996135104776,56.28911550907442,53.543488738236846,52.25477521982884,50.27206784905378,46.888555401301616,48.36025714275751,50.849442774748496,53.57601108126255,53.740126432037016,58.59360245038806,56.9227630793619,60.66526733048589,58.16684624837933,56.82960472830742,52.32902782761283,53.86206102417537,49.67555516182839,51.518887646574676,49.03998771612067,50.65415369762725,50.349001718042175,48.192810056595555,48.449779903228745,45.07233991363133,44.7065447814484,40.248314607771086,40.93262627643792,37.42900065089682,34.32247116787384,37.23743944959369,33.998517662336056,34.807031709323276,34.50756380028008,33.16661209664716,35.96185889991954,33.87991272346616,37.37571869508025,35.42485385930508,41.13436825256502,41.984757105128395,39.3951853524332,37.70298642083503,33.10819425801269,32.071943901831915,31.511927738502013,29.29738867399135,30.100949602400096,30.26487782775552,30.784889816888853,34.8518606368769,30.28133548704049,33.870924728565136,33.786914075096135,37.74708530221955,32.754490796696146,31.43605926648917,26.023790162470895,27.45979696930277,27.34125747358319,31.162434656008386,30.982577751914963,35.10140059677729,37.50535737321631,35.912071349133015,39.30639542852033,40.44331451319076,37.54900348829426,39.00060387228379,38.49127815084114,38.26208489934807,39.290272807048446,41.55142391010836,45.16637301136038,46.530627822500186,48.043895407907485,47.27214091378312,44.85708817310472,43.54488455029393,44.016399514872624,40.783802375476924,38.00437055254338,41.542320403382405,36.62881457393396,40.67289626356866,37.53479481199096,32.58140162651287,32.94402694790096,31.478523389750187,28.304380128591333,27.524593855720052,29.437611990916086,31.216823571353995,36.161126052393975,39.35684369758561,42.522829308951145,44.966694341815845,45.91399716591141,50.084452212514094,47.40724005390821,47.182787109254306,42.843459960392295,40.69103371762064,41.621200905636144,42.141979753117255,42.30549246753353,45.68081009500789,47.36602634179165,47.380084779281546,44.72374083004094,42.17720253723041,39.15425663871554,38.71728381409461,37.23429425426492,34.68118645020087,33.75305100534067,31.91090592345883,28.864887494671883,30.599891940082216,28.083453379751997,30.822859246245667,31.7325634978367,33.93110641798189,30.89632786295314,27.95633287699323,31.64623822830509,31.08653071384971,25.019782624302593,27.754867635415902,33.058266003223885,28.852721402245216,26.897683420179913,30.290665034968075,31.590049876060498,27.2631937132331,27.526090877582494,24.694009474930517,29.964292137280708,23.706038922372997,26.653385759229987,30.508166849636492,32.652274662765336,36.041188785355345,36.69103512467623,39.20276176879437,38.41969050498359,41.27744246131807,40.43830184776066,42.093773697196156,39.13445323904182,34.66226916489998,37.66801983741762,37.6974299866484,32.98080316107343,32.54260320699838,34.89486689273686,31.57095846659542,27.912345668330005,29.36190419531133,28.72918541829172,34.31033334052677,36.85922096790988,37.59527312233417,41.53898843686881,44.79263668062704,44.148839255421045,39.25904904827757,41.13077402050308,44.035171406847226,40.17157765793653,37.42450357425768,40.97551804433379,40.75375172979697,36.49636156349468,39.13094230257979,41.31385071425079,38.43127925159536,36.470891177225134,39.18836404981566,36.40996880677872,38.65881020555158,37.94105782421643,39.10992815528674,36.954165271578205,32.48950826982417,34.35062857370345,33.38053225909498,30.43522639541693,28.835306280023637,31.948803532678845,28.84978215472599,24.768796806923035,26.371856252289582,28.473833220741533,25.03253393039065,21.759445317198487,19.120769575753673,18.24312049773892,15.038340564748198,19.360538778485992,17.493302487669844,21.119567115529787,22.23190721916615,17.484147570123106,17.11704010546848,15.317142248259964,17.589017718229925,22.05706175449061,23.38249328590553,26.903719073663478,27.07752041469261,28.177424456346145,33.602037162619986,35.413333069467384,37.93070820319086,33.2208908513147,32.5382175581468,36.70038785594605,35.697147186021674,31.246173800298646,34.01628331422348,37.917251015084865,38.908368376280315,41.122040943483995,42.350562178015004],[34.61689731474904,32.17656004898724,31.15831823470813,29.59554211098547,30.4097612425784,36.11007918428092,37.650871353309064,41.941477098732676,43.18206020489068,43.37569774900532,46.96138357491394,49.63493762684756,47.018318639329,46.000889817986966,51.00548705985147,51.29956764642216,47.71375332326346,51.08236534476626,50.81281241923224,52.390195446704396,54.410536480389474,56.492323267858055,56.29631794073359,53.79617109631633,51.60052409342216,49.460612612834794,47.66983891444016,46.25227951010182,49.47290792652878,50.78228540122128,56.02280337689339,55.30338018637016,59.749311652094626,62.2737903362398,58.584291836140224,55.6217391512434,54.079034421828574,51.801382881240066,49.23998159760074,51.84912914711,48.43237765478651,52.13025705621147,55.06258417220727,52.42237829637214,52.25523007844767,49.110261200890285,51.45614962806486,53.02236611533667,48.81657268901681,50.02564469788943,54.307680143294576,54.5112549023039,57.459872779949286,54.14869413160264,59.71030956181817,61.884613513171395,58.9820567867526,60.103910928661016,64.48335122622267,63.714295829757845,61.2861266212952,64.94006991633674,64.68508569427375,65.66400671802775,61.85410762754973,59.33806919551165,57.93433584276601,56.59253594132493,54.211123511649554,54.32010343399157,53.20876677802809,55.9906067839938,58.03607400278469,59.31416822590191,59.83726978341336,65.4765051138912,62.380605322591165,66.10991903758386,63.53779080110055,62.50379926871718,60.52147611577068,57.504512734532085,56.340122773214404,54.0537689891681,50.715224290102235,52.53716776677676,55.07139732798345,58.00271255914635,58.24341537491537,63.27937941486851,61.73322729719433,65.55309327878823,63.19782584810651,61.951710937427315,57.51802384548724,59.17421772915017,55.032460768452495,56.76523790255694,54.3074781234123,55.89882942358029,55.38230608886081,53.07956888867334,53.15380230004011,49.64099962630288,48.81441033369102,44.513663424926314,44.86883441790522,41.151885175803805,38.32564535552962,41.531169895393646,38.6230801010147,39.495387852998874,39.55438701245777,38.09213413521073,41.03630709311861,38.81403762024361,42.1911686213947,40.01765958872225,45.675598946573096,46.82287465979571,44.3405312287566,42.82140905751385,38.16558348708752,37.25096342116607,36.81195099269856,34.286825773577256,35.11658856486081,34.92076861332127,35.11098195429523,38.85821735967421,33.94073268241942,37.130653074532766,36.92148911404359,41.219585281658446,36.341738540935246,35.54396347346061,30.054256746319194,31.7847371305381,31.858868296508195,35.52079082705081,35.09619509529731,38.88327660625352,41.66504720340805,40.2268805632385,43.48335065085139,44.953963522334305,42.17902843555101,43.82502625636608,43.30035559469974,43.340352154572294,44.26479974378126,46.76043994677369,50.214800759074585,51.77449138259413,53.34075308176509,52.417467813841185,49.998852366275976,48.48016808389747,48.93154378386179,45.416356366676645,42.415242400757286,45.964027590403205,40.84851306671178,44.6638467995497,41.070571577181525,36.02561357210465,36.038577560596174,34.054968401046075,31.058793347059737,30.882559563354256,32.9151921282498,35.11309388972226,39.93938581209532,43.282351011602266,46.63601686956143,49.19908307427258,50.4445430890078,54.36291128796065,51.460471193695575,51.080457324780355,46.49169225388817,44.61904657643027,44.976070026654234,45.130286518007146,45.46177890625272,48.64079761283954,50.607584342391704,50.137096908606786,47.74427177159641,44.909868676621926,41.86924511194646,41.58840475336911,39.730803920407716,37.29937693905236,36.25774083734779,34.18760012885745,31.747639107998502,33.397539983055,31.129578835158682,34.39353138122174,34.91335787303026,37.604852589855604,34.899240316988966,31.55678653596611,35.12580288108724,35.17036011374999,29.1836196491881,31.37862754380558,36.862955291436286,33.20251409385353,30.964612693942065,34.107432847708196,35.917108837573856,31.722039185061917,31.38801900374337,28.442918048309973,33.19663648855817,26.318895867863944,29.530325888154795,33.168235090820744,34.60638703492159,37.60451692983869,38.16210774845935,41.16597794573371,40.42250211908014,43.27545704556902,42.8632856684233,43.95917109992691,40.704695100226665,36.852556721694874,39.76216043486963,39.03538046274025,34.47331261757624,34.50948562447036,36.51964110283411,32.552162225483364,29.38400908078105,31.39121386519228,31.299151547562634,37.16687890246202,39.45619500097123,40.45102156765944,44.58663917282811,47.85536747429414,47.60798115543788,42.690790620432914,44.48073539270106,47.72117716204304,44.13717470482512,41.20470644193148,44.84778210181269,44.91515486482245,40.62551346821899,42.825620105167665,45.23070335972404,42.671650614182596,40.2666598490318,42.645954674857265,39.69586961396261,41.73924610592463,41.122510831408725,41.76242538433618,39.56448817535123,35.585561025019445,37.01496408561001,35.56305709591602,32.892420501387306,31.430024878224934,33.65091658065595,30.32415172882089,26.97110599681206,28.239585780137226,29.41172142020515,25.904373265743658,23.254118696160432,21.62800846554701,19.425101498020787,17.247383181785732,21.67434420010352,21.097708637377863,24.866952369933742,26.737359329625342,22.063356890957774,21.406530338451958,18.926817723419752,21.15418599127628,25.47296865686535,27.597850541809237,30.809389459607107,31.6074177261714,32.83018558227435,38.07937591765924,39.763718231362965,42.62547417700798,38.05204713267178,37.219187934096084,41.48104654647123,40.80813490551922,36.3507643626908,38.843705265849806,42.85683778581571,43.969881681267225,46.23209329353782,47.4287564687355],[34.24452967187004,31.48524036220963,29.780275879014834,28.583661876588312,28.489871321553938,34.6513915188738,36.003700174582214,40.11298000547581,41.78660186436884,41.92306202695755,45.615428842113744,48.06775764089737,45.20561632586322,44.63056568604018,49.47727705615894,49.45918973735499,45.864497798645196,49.2205319379649,49.0572120222668,50.240299037224545,52.34321049319632,54.14414298513213,54.157739258111775,51.699680349488816,49.31707797608757,47.421185553817416,45.38543959800631,44.09991163893877,47.29470509568608,48.522585886703745,54.11427254389464,53.084743385160884,57.60512856560776,60.0426280741752,56.18792048540086,53.283597024938565,51.48318849434203,49.187118072564246,46.50029782664144,48.70507133541767,45.563255883047674,49.58819320838933,52.312574667938556,49.65915003674691,49.67399512831676,46.53647378487002,48.788583176316514,50.14575035554773,45.86549795874383,46.80569668006911,51.02942387986634,51.03440773012639,54.066708887567934,50.913015115301,56.369751246703984,58.64123838558057,55.99048013874639,57.13587733655283,61.41997564042561,60.772266677185996,58.609395350361446,62.40561428138832,62.235860809913056,63.44108074985153,59.52826334057682,56.95669819370255,56.00320447869854,54.67832514045252,52.655550024091646,52.89986509485295,52.0105827803407,55.022089313549785,56.74250792526201,57.837772403197484,58.08219163526008,63.550185873116725,60.15584233514252,63.78961915160477,60.99547269679205,59.74057327154738,57.58556572868673,54.357455122461126,53.10899109445337,50.60543948546026,47.415064122649575,49.509239841480955,52.257281932769835,55.195081558649825,55.75100290494836,60.85012622752813,59.60014852703188,63.615904705131186,61.376233050676454,60.1068250946769,55.772279760572864,57.68296932004278,53.63691344642004,54.92959704031537,52.44012480404945,53.927275326452566,53.06326770670264,50.51942353570862,50.3864970030328,46.69909606796343,45.42400600413152,41.28903021671459,41.38361863058833,37.5202261183749,34.983755928348316,38.41254613258844,35.873997648512535,36.76737651903548,37.335179136295686,35.81491763263082,39.13233931032193,36.9460141607249,40.317463555767965,38.2485777903763,44.04428294723328,45.16895713777464,42.95725005191124,41.43956819466121,36.83228162819124,35.756934922415915,35.25094727780575,32.160535933256206,32.898274001974045,32.20526594128378,32.03289141089003,35.444766699862164,30.3027461212406,33.20275539801913,32.92933739468732,37.399498535158436,32.690347031712506,32.34284767754459,26.82558308932098,29.001967135795567,29.540241763873162,33.05370244403597,32.994757246412,36.59908299978255,39.45101495766552,37.87317600662883,40.87713608973857,42.478170407540105,39.788733929136626,41.454301225938224,40.76823455188533,41.153758545797615,41.892411951963055,44.78831968348765,48.00202832638529,50.03588147516664,51.54367977157725,50.28285302572953,47.86120216977797,46.01291803173912,46.4813410824156,42.588699468622,39.45884033773651,43.15480412357395,38.02517898808687,41.61247751946151,37.72410374162373,32.867280716614026,32.41508007447428,30.365613729626585,27.272144345345296,27.535102951623657,29.42777294441467,31.974382641035326,36.58586785286012,39.94876788468507,43.42246063261722,45.98831966700105,47.57513680202832,51.175077149333966,48.1699345308278,47.593781419484436,42.921724321433224,41.13766787973621,41.09660702993857,41.0608748146325,41.60401249971591,44.740406124966235,46.975734342939504,46.321052801393904,44.29478337381461,41.17520361511095,38.06072070425431,37.65663342155438,35.57992014693699,33.14034018718164,31.981307205055426,29.795563222122414,27.647668847775478,29.285795818468337,27.292751841959724,30.85347853853333,31.379412120564044,34.380165704827874,31.84340243974934,28.488318694178016,32.176934922877415,32.62484943378518,26.834773271367617,28.953897415841702,34.594553574427806,31.43108584645112,29.345336605916835,32.54511540315718,34.583411006534035,30.766829526765736,30.505575350501164,27.257551943760536,31.916797061657704,24.66986300673948,27.41857821835079,31.15183502279892,32.12881777653197,35.49132300917954,35.55042908632458,38.2547790679699,37.15587185150118,39.77761682787458,39.244088467828284,40.084630380907804,36.980641908953885,33.1501215668514,35.783820632281795,34.91276312047907,30.45583614786096,30.407969370553925,32.15155177604464,28.19235587915391,25.214163366048908,27.03483165227135,27.383643173362465,33.19514245295229,35.457448696679144,36.79317932979902,40.925529160685976,44.38561463777373,44.17020994244217,39.270112597455906,41.346839866624954,44.70011706417348,41.2059208864961,38.41841432754601,42.32341396162535,42.60956899344029,38.42698586098651,40.55461648211823,43.22762482225174,41.001298058258264,38.49742750595488,40.742646749869834,37.57911854222879,39.224823943243436,38.2739701281448,38.70691461822744,36.93510104545813,32.950129729594764,33.84637754140929,32.56129680936106,30.152930869426996,28.213436073264873,30.204662336938455,27.319648099687353,23.9616106130676,24.585933416303718,25.848309629901998,22.792945985583625,20.14531901600184,18.975290656693463,16.928478953858747,15.479581405794837,20.23895453630942,19.78734886220657,22.994785698173846,25.286562529471063,20.959177305660297,19.548431396572255,16.591516837663512,18.205387253409327,22.417733790446565,24.782937630501387,27.554801824256064,28.846449232771327,30.45909402870539,35.41394702933069,37.18463362036635,40.242994892495894,35.82910489713278,35.224895652149065,39.61633568817673,39.061422897540844,34.95370368670424,37.46549042263053,41.571627725959225,42.74878261138567,45.065585519181,46.108081404160764],[30.246771214682354,27.425788106774863,25.626867861052624,24.668545735077963,24.586012505660896,30.716847653911138,32.236038554232294,36.283703405352796,38.099495481725555,38.49429036808823,42.20988531260829,44.49858836748767,41.8692396715481,41.4523195868974,46.30823200255437,46.27740006811963,42.910625980953995,46.47213544968267,46.69144755357022,47.83471916178391,50.206193661260244,52.140617544367984,52.35125625251176,50.107663365039585,47.49782229801227,45.411071910155904,43.131424159189834,41.5610889070933,44.51455586298586,45.46305667755518,51.105548614422496,49.83801396403625,54.327656687242936,56.96050956002046,53.15247604521294,50.43390378316657,48.464448578204745,46.555930476806104,44.018755005081054,46.42700932932947,43.48317045466709,47.44597002554869,50.3041192821903,47.89806215778352,48.21591186940867,45.22757359662901,47.681596194405955,48.72981766800632,44.29913372674667,45.43382161418692,49.48784210180414,49.39605347539783,52.27799387160971,48.92100337488814,54.226717741350264,56.77893561846069,54.14188715273149,54.942159605856276,59.31673307796884,58.97853882726255,56.640973917071555,60.257095012141335,59.86100342796329,61.31616295626742,57.510063744325855,54.69074714903135,53.73216116060937,52.14513128573344,50.24545398998039,50.22937969869928,49.493690148498764,52.59139143493832,54.15739818144324,55.461593574035405,55.4445140999065,60.996898529462776,57.61944794636468,61.10558617318741,58.35364704472321,57.25247156238995,54.89931886702771,51.825915908249094,50.28206960600762,47.95793642367999,44.869032108777745,46.77201578630478,49.68186537348977,52.336870714665146,53.07355511636838,57.96955773929183,56.76869934598546,60.814320157973995,58.43065457001739,56.982895786700965,52.59430957186912,54.462197279030526,50.38514295436705,51.5245237479686,48.90225047656294,50.17274575990576,49.53033116016162,46.820664505405084,46.94870405624268,43.119036627718856,42.08729000656232,37.77449075974364,37.854857496407746,34.081385539068755,31.306153954718255,34.672359681016545,32.04649183661514,33.199519561993924,33.72357010411848,32.49875044695134,35.97817097810083,34.06268869666658,37.62102942518222,35.91068828961926,41.85215380352858,42.59465600569298,40.38748944963705,38.61963142721426,34.130968004715356,32.74955768730781,31.914735827661552,28.852156398480023,29.1397922164366,28.65604025535223,28.45034590188422,32.07881820236344,27.009532367930895,30.04561202807492,30.120667863791034,34.38883569063494,29.805203009501096,29.27860968033856,23.703507073080335,26.11503709752246,26.85890158530499,30.497668157857955,31.005171622652473,34.865329159804546,37.35875000045567,35.49452223356026,38.492304492934366,39.75567486349898,36.949382348993545,38.30294583161949,37.402090916557974,37.58474860885233,38.12121420180834,40.94438908644374,44.06040897875537,46.014596334921634,47.65580601743684,46.47410405721061,44.197886247593466,42.31750632850637,43.02009260249562,39.111968386604005,36.30690386399117,40.23379988536232,35.36876454194366,39.07114676231281,35.45375180482223,30.852079829843003,30.340523634769752,28.797551938010283,25.355485371691476,25.377805459454038,26.96695793272933,29.381455923311606,33.95422588803389,37.14313310955668,40.50168429250547,42.84964049717437,44.398345098675264,48.0322704935037,45.28285085481713,44.650495771570796,40.24537458700327,38.04323633826431,38.315074551075554,38.52905219587795,39.21513374425202,42.58867132346432,44.81614918251735,44.525004833962534,42.55067216164383,39.459613341170645,36.261394707137065,35.5066023752226,33.57804383306779,30.92697381865598,29.641642710303067,27.386671736145438,24.76659770098888,26.204080139518457,23.855555606781326,27.1946068910304,27.687008578624468,30.491573274859178,27.895057611377382,24.5318978983056,28.21161061080202,28.49193050715684,22.666372489827232,24.8734363782581,30.476076768965637,27.22106740547552,25.188561109884606,28.45353305189514,30.411916872773997,26.654893252243237,26.527737704607354,23.248009872797333,28.064084420282146,20.998120143134752,23.589382970549902,27.43592925775422,28.745140942299248,32.344168013081614,32.44973867946923,34.906103746592805,33.830965687269526,36.510672513266584,35.824840754421906,37.01162388651811,33.99342813169309,29.83054179260282,32.64404462687168,32.21483848766062,27.596835415742344,27.377606561157087,29.48234617611505,25.82842961215338,22.44544648420943,24.257621279402617,24.0385058684689,29.875955085938628,32.18115291272293,33.23931255734359,37.33739947608225,40.70812300805202,40.40710531433311,35.495524863051195,37.477757815081,40.73893435921365,37.18700737110688,34.37277475388871,38.2222666640233,38.439510579629776,34.2505994651176,36.47274321627362,39.09153002376644,36.8089018207797,34.39740308126488,36.73997423953147,33.62126720989052,35.347111452964626,34.38735561716936,35.0511524429901,33.249629859299496,29.055743721350847,30.186261136231856,29.088181472603175,26.516781165688435,24.56710237979987,27.04128881766705,24.209087188054557,20.43603689456485,21.367157773773876,23.1597874086272,20.059100334788376,16.989717047053453,15.240220793365413,13.921147137354836,11.936361813462334,16.74088250437203,15.799014183021367,18.880259345096373,21.10140123502322,16.858065039515992,15.371683353223585,12.487760337188815,14.227627884706703,18.471511329265187,20.788354381783396,23.76188278516158,25.01369491554791,26.37316597644754,31.372249448085487,33.06836381549386,36.13555958048056,31.73662948653898,31.025944131012213,35.404960408868575,34.95160908043806,30.810489201044987,33.257155492240344,37.38591766574006,38.61771402572534,40.98257633562007,42.059684511704184],[28.56535345390249,25.45454736453053,23.142873241659064,21.828072009721947,21.01932023980631,27.412400003039433,28.563768680516162,32.57003654222649,34.45083506233514,34.61079370461633,38.35501212213747,40.62782683550884,37.75196154857325,37.476662497759314,42.23448323973871,42.07548523533186,38.6444197178654,42.16368328560425,42.41146009386577,43.42654184835792,45.84212396601645,47.729224246990775,48.029068256934416,45.859387822482006,43.15031672451887,41.082481569778125,38.70761157128406,37.15856050869127,40.113301683656914,41.091855271456005,46.81853128651176,45.53687556704079,50.0559584679734,52.59565588697478,48.74155208204956,45.997936908568114,44.019076700701234,42.05436220480648,39.49933346607664,41.920100007153735,39.00942306682416,42.98253895361755,45.84384770345542,43.49240879793364,43.92480742176445,41.003630224825,43.524012892877074,44.42891762341644,39.95515335178419,41.18145747233841,45.176952606037844,45.076153360963275,47.91188652214706,44.46471307776492,49.76748569625009,52.35767658885316,49.706224425951135,50.438784194919585,54.827360933406645,54.555414230810676,52.18549071506078,55.784423596419735,55.379803798298774,56.902074149601454,53.094322342684514,50.23210772130516,49.38545032995776,47.79775586713849,46.03257848442415,46.0831476742374,45.44124296920663,48.63703104691216,50.05013775142366,51.26790479284881,51.14926215195362,56.635404093282396,53.17976496209256,56.649434050761464,53.858005090137624,52.73367648392902,50.3794248072062,47.30409444846034,45.80486022200052,43.50083041636191,40.37197454463287,42.25766351287885,45.15761373375787,47.83849908671478,48.58854529679118,53.51764813497359,52.37435755633664,56.468866229323595,54.14997269952038,52.74314410728499,48.41571160347416,50.404604570377444,46.39669999472692,47.415178420135405,44.86671567096848,46.28468958723985,45.36304185043442,42.76994207860076,42.67675639134196,38.977840477629194,37.88123248682483,33.65478273246754,33.94700713773497,30.190754011045712,27.522368275099783,30.81706244522729,28.186604958299405,29.02271014120076,29.65778280800884,28.22997609333227,31.764355313890434,29.80328771393453,33.32661114567974,31.663756760287495,37.646679370654134,38.36228708882421,36.286421227184704,34.55334326483825,30.100425480955447,28.69826513745859,27.95683194655881,24.639440076086842,25.230092283356857,24.46506293543455,24.343590846241675,27.903396457624723,22.93204736329799,26.175914951814086,26.018589599509365,30.23329813981499,25.462976434859307,24.841993271087077,19.287300963652676,21.62486749207853,22.453857680635643,26.036833080473105,26.721594357803713,30.578601257494167,32.99090647179252,31.05806468976403,34.000913039243315,35.28438189340796,32.51016621969959,33.93794880427164,33.099367638706575,33.485794338337875,34.172192524301124,37.17756570012234,40.3688425730712,42.60631401767107,43.99516034042156,42.60388352315878,40.18041787171332,38.269854105491156,38.78441846408624,34.86505906760463,31.884305399689584,35.746503022365154,30.84825678316268,34.54538710357937,30.9712215140669,26.40356739919616,25.958497792896033,24.60025476193262,21.08759889654021,20.92148861082821,22.498018482085723,24.85607660265477,29.46046463340946,32.67043824978169,36.035061774185145,38.459612160579354,39.98784715628808,43.645426178733715,40.82680787241862,40.26863388175178,35.82505083233353,33.71486744302382,34.090716990016155,34.398474104621066,34.90352278676726,38.3184301351523,40.42363092415726,40.28042406216292,38.20707612679438,35.216478683017215,32.0451161969227,31.290615461411807,29.520735140723666,26.8520750525568,25.722916222703276,23.73414544020406,20.90192819312672,22.699710266606886,20.59045368409846,23.750283189087742,24.884497639582744,27.52249771354863,24.66172078886057,21.85188130551956,25.88119709750028,25.903754687910414,20.20339161748177,23.014433833021634,28.556615711607343,25.18789076800151,23.66666681054052,27.219585399732292,28.80320936920488,25.263870878010966,25.835490683021835,22.498311752454228,27.638707461949117,20.997858126729497,22.869132148724375,26.93756137525242,28.43124607944146,32.58397353938899,32.352330694788186,34.11016419521551,32.64758381513369,35.05592296292052,33.81380422983744,35.20924566127365,32.66426977758761,27.962092789216737,30.476666234033807,30.574501195899135,26.001347265509963,25.149683213796077,27.15167892745191,24.19150969861013,20.648319870086365,21.380008596681968,21.356405923263793,26.73932570092664,29.38635280151077,30.696109983686142,34.57489298332594,38.21274162792917,37.47600071000156,32.59592670241175,35.0823166358094,38.09456697853483,34.286170655729364,31.8912374094717,35.9376929101238,36.04897619409263,32.016089038621324,34.651570052466674,37.279265405872145,34.955396083890676,32.948201962893485,35.49813659140449,32.37915946721083,33.91879401218882,32.512915937457414,33.4829891032812,32.167696787586834,27.52425487453729,28.498095714918236,28.06080521911741,25.533620801108707,22.91829651395646,25.987142801576976,23.878520005949277,19.498202063949204,19.94624244399813,22.699490628393548,20.22394483350203,16.721940441637837,14.520811889941404,14.720614642362081,12.626291624187056,17.33618496571816,15.32126124019366,17.563181796760187,19.267102705598717,15.382056348312371,13.398395771690236,10.854949894879605,11.602350447510121,16.006495420094648,17.451910544523017,20.20493331703075,21.180559777912947,23.11056365735633,28.02564928209902,30.079338363232043,32.89601786742209,28.43582805165116,28.282322782448386,32.674556392854484,31.800619182770234,28.096337684848546,30.9674313937727,35.00667759076082,36.0895779687432,38.37440840969356,39.323707661938684],[32.61787044482916,29.564379187960444,27.1114702653338,26.522461408338707,25.413553902299626,31.93009095429027,33.14836789172952,36.94135779731737,39.15528483310784,39.377093335495054,43.148236623866126,45.23930626174353,42.27431787906871,42.27743899610697,46.90316955830449,46.53896577314676,43.093685529387535,46.518129521313064,46.68202080571242,47.39987806411792,49.71984933461852,51.271456293473776,51.619466358157716,49.345407456133884,46.66000371022318,44.94160122652791,42.52294885075867,41.247903014176416,44.24521853021204,45.21227431275962,51.172267515994335,49.67503770288621,54.227463436923294,56.66416980036794,52.67812211709344,49.96404305904691,47.79013183920887,45.712795831990334,42.97980464728152,44.82182714954507,42.14376694853236,46.45732288479554,49.00618641165254,46.48177466675961,46.86619052968669,43.850633180485076,46.07441309832497,47.013012241493314,42.61408507362316,43.358686265099706,47.39521169615193,47.09300812092916,50.15064939198631,47.067612503430325,52.305376727150744,54.826842748490854,52.475887483595486,53.452387016943696,57.65727638604397,57.32142239730196,55.36435041778331,59.199573873244425,59.00024194122025,60.58451885117431,56.63913075653126,53.88426292517388,53.42552252391483,51.98970260110317,50.43736255740857,50.68101064364614,50.11303595533211,53.37404181737505,54.667187486009034,55.67759791911839,55.48163837161535,60.78006748680425,57.08903969804153,60.51638673227941,57.51647071883356,56.111202217447826,53.65746022190673,50.28616363093798,48.78772518794474,46.155186848664684,43.21225382283437,45.49520391711895,48.55816113907045,51.321956163110976,52.33727821203526,57.36223003913878,56.472692048053496,60.69360343421392,58.51023521942495,57.124602463876315,52.899423992637104,55.04415791899965,51.116074215513606,51.836813712728386,49.25665876111397,50.48935565329666,49.37654442072141,46.478518509910934,46.261709892648966,42.309696347832286,40.65119081016151,36.63760857018956,36.38711999149482,32.4208896404957,30.138568758145528,33.778257259754746,31.684891548111477,32.75614187464723,33.89407361925539,32.504303873447824,36.283301074361646,34.32575087418354,37.74300575321534,36.01454056833505,41.950942638115,42.82934906170604,40.94538708243509,39.315109221372936,34.903750271914575,33.50794930706608,32.75396984782847,29.100948668417896,29.44472583570467,28.295236322417104,27.637058442522473,30.70708681194099,25.36219485871483,27.90969376153211,27.780512299499183,32.32725332489736,27.96243995992063,28.1058012422218,22.626088084421095,25.47472836125098,26.6856280212598,30.003474453516855,30.68120478608882,34.14091204831268,36.83345265859399,34.96486857311039,37.63136126319493,39.17666843547674,36.554484303143305,38.043314571594344,37.053676535480044,37.71664218131944,38.108665505166734,41.38107182383397,44.23104040048106,46.71682251305513,48.233923107677136,46.65915976022368,44.34498235233125,42.119468223541325,42.7425649058133,38.435725186957555,35.38369317481463,39.345906521044135,34.40841008057189,37.75089318731395,33.697790565038105,29.285390202978544,28.21228303018155,26.396717037995447,23.020559928557507,23.726760179756447,25.22293021827216,28.100368908950536,32.352757883751735,35.60625492721756,39.13088747562326,41.55267973530014,43.51122746993895,46.736735736952966,43.77289724764231,42.93033405817383,38.34077701661655,36.426776474532886,36.077091807605875,35.9627383640084,36.82350415441041,40.05786157864501,42.59808539068259,41.94157653398681,40.38671166681487,36.98145673772745,33.78418700456565,33.062678727862824,30.757909075249344,28.148561511463555,26.730989992805906,24.321341270502575,22.324093296646783,23.782503843251007,21.96670698226932,25.78225016860215,26.246614237398276,29.51850325032592,27.22033355681343,23.863786434119614,27.61485016029102,28.490629085376195,23.065410082444565,25.03426849781572,30.72800632808951,28.19185690079948,26.344151319829642,29.53719295551151,31.77436190501303,28.507888990532326,28.361995954513894,24.87555199926588,29.327379489885615,21.969414525391883,24.002572510295494,27.792669416996183,28.35316975612943,32.18332792937412,31.698405641247412,33.9061558936128,32.415197379937105,34.77604984506787,34.03872921806153,34.73773636084499,31.85953671722941,27.933714548087398,30.30923074134638,29.476143650539928,25.09574607532488,24.86844093972473,26.46461414681195,22.66300776138514,19.718796873873032,21.3409200911644,21.955454473333386,27.69716207493793,29.91702113323855,31.51344290888021,35.61373308304474,39.22740461620386,39.032641275581405,34.17172490012582,36.50308103136872,39.93297651479472,36.56110376397837,33.93914299103214,38.07423823990511,38.586119406520446,34.57160276960167,36.60827890735321,39.529848355654536,37.68921469225838,35.13539379348985,37.23110784057554,33.888691262686606,35.09142460106004,33.76898334826778,34.050562281635294,32.77548366459309,28.758910314617037,29.107762156603894,28.116387853617944,25.99084781559249,23.500102904703095,25.397062122605757,23.13128751586546,19.656764039653453,19.5631418798712,21.189229726206193,18.761344154381607,16.0028928776148,15.26200096921248,13.884936618253704,13.313740293874984,18.09389676662838,17.66031180444392,19.95059302580688,22.646413992407112,18.991781393276767,16.739307942524402,13.397138224041381,14.092499026542997,17.96503168348677,20.620988414757335,22.85048682526739,24.76668074672166,26.65434461345461,31.185373468132582,32.972930446715885,36.26686392489931,32.10285204547086,31.685082573677594,36.154910981500706,35.82126526368268,32.14678311492865,34.56849819803648,38.74070670341224,40.00067327521597,42.35022263168884,43.25297274956117],[30.7166821226072,27.491422844361697,24.52875113877702,24.301218824004973,22.465629228483568,29.132243566879204,30.2360118285811,33.79221047942458,36.33897239047969,36.640686272620464,40.436612800025486,42.26989901888471,39.294853118896995,39.682480669402686,44.148140327446065,43.576969454208886,40.29832451919576,43.7956491073598,44.25951950317054,44.70061802647551,47.22293149277139,48.67823090689633,49.280251355164765,47.198108436670644,44.270907444658015,42.594567922107515,39.89197819354722,38.532864676323804,41.325840160419176,42.062669393014026,48.22159868743516,46.40649120966059,50.95531267695964,53.434203387286566,49.397618532862076,46.84878365364395,44.42874066323403,42.5940254495786,39.904496346119906,41.61766766337494,39.26640952884483,43.69731399887491,46.18818901873695,43.8474558220402,44.55025144143983,41.655798150687005,43.96374716487105,44.56264803045499,40.01678180007378,40.74264443530197,44.60650932767421,44.12826289756736,47.110114676216625,43.99236036618072,49.03606374327666,51.79117755327153,49.60417810978332,50.354905862800884,54.54616180393472,54.48770990358092,52.57111975617154,56.346084621142786,56.051627595451556,57.916573743074565,54.00589035487891,51.078465755671566,50.88819545556666,49.31171153627761,48.06932656551544,48.23769363857426,47.906120203436515,51.32537733215387,52.31657908726,53.329730395948275,52.80849743501608,58.01291997055386,54.1837422293805,57.44543547339816,54.35552217902867,52.923493757684504,50.25750524128818,46.880228193272345,45.153564691288786,42.51293298635822,39.74068588456201,42.05279956266965,45.331890579472486,47.90575791840684,49.21565522841292,54.1253283602052,53.448470547459166,57.778465188313376,55.594953947466564,54.103873886526806,49.940435059654526,52.20398748071632,48.354734766320725,48.70884896119112,46.06272255032814,47.116433463033246,45.89382416982401,42.78532118336213,42.56648419838353,38.45794777135881,36.652646779449405,32.671878000442625,32.26465453553645,28.264796039762558,26.072272921358273,29.80481104839745,27.947704876809468,29.137549374660892,30.61110274302534,29.365948993924366,33.4387802617336,31.708635460141565,35.16667020270883,33.77207652929927,39.78231687275338,40.39556597864989,38.717321612595185,36.967926658167535,32.75441014562565,31.100626855019073,30.131721333719334,26.166182017751407,26.18578555303209,24.773509154733322,23.824253928414777,26.727156319791366,21.302872823256923,23.730637070351353,23.764299287450317,28.280606756677223,24.13208734260566,24.497623909308306,19.054353519142516,22.383647176802477,24.075113783800557,27.265128675602835,28.57626589284475,32.00266384438601,34.44294414962632,32.32018795299882,34.767582842830414,36.1584714296646,33.55588082003365,34.84511543952337,33.63136694143077,34.41941126659318,34.57971096669972,38.06166183814258,40.68045191911338,43.43385800472298,44.941128866251894,43.18988142681263,40.958925955046574,38.52037388468949,39.26554892174194,34.73635081273622,31.806065641993204,35.97578662593457,31.257914840943613,34.48396119858382,30.464316975122415,26.448380472909765,24.99985052750482,23.57996383919418,19.90890340159217,20.759988292433214,21.867953030371716,24.87008131486858,28.871676382741427,31.99162758181715,35.49590068272609,37.773029115213454,39.91391769512976,42.94865139781857,40.08711174403752,39.09304918765827,34.64037622208402,32.527338769670905,32.12425517822898,32.06098512871303,33.153975586726894,36.5034535574025,39.19062034843377,38.68472609821624,37.40547025812317,33.87824826176669,30.60438503163702,29.529455198347204,27.208260537280918,24.455586794008166,22.87276243451065,20.35417568655083,18.20737666746337,19.569530215303683,17.793417001948793,21.66040931183892,22.243202782604826,25.566982866327507,23.336097605588083,20.136838097890912,23.992558272336034,25.000895004648555,19.886810631650132,21.910997917821273,27.546934106245086,25.344264575956515,23.799831984190448,27.024712698643096,29.226557266410797,26.380095832848315,26.496233553758074,22.926567529388006,27.310602087983348,20.208000874424393,21.564159278262164,25.417461549211943,25.910861543684543,30.165766671986994,29.331775476531394,30.98879606383409,29.20607748277579,31.35786980388545,30.309565064377903,31.11203094926011,28.528896033088227,24.270315144060618,26.48176896505377,25.993899216004483,21.604156283943695,21.00781291638072,22.620378025514132,19.264304241648933,16.14223577042833,17.269619400380925,17.91830651643032,23.512871361807015,25.824950117168815,27.54266192222025,31.55728745324946,35.29380301833214,34.96678183428213,30.137011343853363,32.7052405070752,36.077336499927455,32.700102383537406,30.272259149806633,34.54867048423709,35.133015182258525,31.268835300169542,33.37434977919063,36.398374124902816,34.748763010331515,32.31185410807347,34.39192992907146,30.996931104173587,31.93144183984011,30.29500668573669,30.654412364498025,29.77272374991692,25.581960280714952,25.652038664453656,25.080794109553818,23.093572702653095,20.114030332626047,22.27963779483564,20.6272039693501,16.828250132827144,16.245322562182842,18.568031924078507,16.74309414287963,13.72515220906401,12.947158720864,12.738813500544888,12.486091949711753,16.97180183552501,16.175430828872415,17.59200521224525,20.3136614505409,17.29730515451606,14.497392524830323,11.179624975157141,10.952515553397268,14.483517807964745,17.059497946465722,18.90647188628103,21.147529729452735,23.246747687657198,27.46915275005856,29.313417651457563,32.654843200916005,28.67238298634104,28.461686751698082,32.92285244273524,32.665014691317815,29.359222571382205,31.770657430545754,35.909864270175376,37.204132154939515,39.579879122623446,40.37956580876361],[33.308854446081575,29.967902061578712,26.90723742646891,25.794204812715936,23.582518605176507,30.342988661271175,30.859928746082627,34.515876007880394,36.76531267593631,36.447365095722084,40.20463480181493,42.32084130719528,38.809847800531834,38.995491564842716,43.378551239756185,42.771625248879495,39.097928873759294,42.24894008971587,42.171303895044566,42.622683442450025,44.79731543423259,46.08824127054266,46.46410465350973,44.1419009942941,41.448292819946886,40.01234340686401,37.60059509888527,36.641432747013845,39.80239314865134,41.011322651978986,47.08959101354991,45.69774680996336,50.29934866182553,52.41422137014237,48.30645406716653,45.438468939203,43.33622375643379,40.8607756679071,37.97072377578179,39.50761482962522,36.79186643367519,41.28069516401112,43.63891584467965,41.01132028604575,41.369695134665676,38.32990629667486,40.48057170589642,41.39986747316263,37.01070572459791,37.60727987543874,41.68435734049852,41.421348691862775,44.52110576205081,41.557689213286565,46.856271522906,49.240722758647365,46.9403318439509,48.10150207536449,52.22507189787311,51.767692577855605,49.9862699393843,53.9691099805569,53.95646839632115,55.49086987667443,51.44585274071015,48.82567978113567,48.651620341297246,47.43220334611936,46.08073308234521,46.656235923783356,46.16307173431202,49.537155243705406,50.64076589977194,51.3094989485555,51.1035148539626,56.165626904225235,52.29730452925714,55.77945232002138,52.64488569355304,51.024550796205325,48.699472980096665,45.15935067313202,43.94088891999969,41.11119222302083,38.083066270787654,40.59379397002477,43.56117487634572,46.59001261192456,47.54804348852637,52.77431460356158,52.00620842998959,56.29652196133165,54.35849279195767,53.17257152569775,49.12662996702481,51.51496580386163,47.76140691856055,48.32695673773968,45.97122310266615,47.54303151297074,45.793415736189544,43.16125694900436,42.366755237880476,38.71273416840817,36.63463526704076,33.00635945608724,33.00648533884749,28.984458126775348,27.200859314551064,30.79222870408451,28.917954026092584,29.298918539136498,30.76333173990199,28.852546145759113,32.613189667770634,30.412765151678567,33.54849665511395,31.653704275301997,37.494842653438305,38.62801610320689,37.0177189621466,35.66659731172301,31.31087600640166,30.12379619992716,29.769410221370766,25.66952359453875,26.777729150393068,24.921338405895575,24.306418440261776,26.87364135921976,21.631829570264678,24.202954201165372,23.337315915465748,28.02755921961908,23.367486783673527,23.73515621845623,18.480087895585854,21.09849578272932,22.402459977594578,25.380100145662983,25.933031733802398,29.04047177991733,31.928428593061597,30.180962014471636,32.654299187722955,34.54677850952241,32.133928321119726,33.98316939640994,33.231799825838685,34.44071256762733,35.15201161948692,38.78749339960844,41.71941142953324,44.73404611544362,45.77038883819437,43.78377995408958,41.17697050761744,38.87874054993283,39.04076698820681,34.68095193481895,31.079518357232754,34.752822060544275,29.584571784380596,32.695168696092175,28.37384869957524,23.871608420902525,22.74469110266964,20.675514705328553,17.478094381118023,18.405670052986466,20.10464326975693,23.163059593574765,27.359245724840214,30.786346553433336,34.43482456948577,37.140961620132906,39.18816543035043,42.29885413386934,39.00727037370647,38.2633402824716,33.37893028614265,32.030798986688474,31.400222887660963,31.101703113468925,31.695981685695486,34.71110563422415,37.17705861709819,36.352695937530385,34.74262468846016,31.318306199559583,28.143377857534706,27.630862835156606,25.404916044579583,23.046262315583647,21.990588099417682,20.053734742146517,18.356511157871317,20.575243585444948,19.627552819759305,23.36953459460878,24.790856698508314,27.98505856506484,25.46759588543304,22.99638308840327,27.148544970374633,27.860549176126028,22.85310601010448,25.456502777566527,30.982191156201377,28.496659705292604,27.328324093400386,30.780619622943185,32.576615186762965,29.651333065580538,30.2927438358593,26.784013302977044,31.484277441954806,24.618161233438972,25.791278896884403,29.735552850052322,30.286436368549055,34.70173745539838,33.69489526473857,35.03393933637409,32.95182908747097,34.809988151397306,33.367465008281904,34.04565912177707,31.87729800579079,27.46094223092397,29.15288240711846,28.754429607399853,24.649524184760566,23.580174496290812,24.5995479298949,21.718377843586815,19.010583676652455,18.791730842744034,20.39128297790514,25.265362726975205,27.921834812260844,30.183684934857382,33.92533523429695,37.99633383862328,37.23990464089466,32.50592563831491,35.663837254740464,38.787973194338264,35.15683039265875,33.21943320716502,37.64985554717484,38.09412604220975,34.38192717277389,36.86914400653277,39.84152656879309,38.05208469778229,35.994988328941474,38.2601370304667,34.906202521816226,35.73486947091124,33.771585887001436,34.28357936690502,33.7824862061315,29.361620187629455,29.23474847881275,29.08056931997519,27.2021440736324,23.799009568158823,26.09629757402285,24.91721056955808,20.993967347882208,19.910705478778112,22.492477810032998,21.096862655896203,18.11492682749849,17.222211420405152,17.311314697071932,16.788897372971704,21.394656766794004,20.007584993517504,21.31225175480565,23.396882590681976,20.28748006601425,17.55321608826009,14.696211089117089,13.967758943415811,17.659846542231488,19.124803641146983,20.60231558148385,22.2626468791913,25.18953623691092,29.34689656305135,31.663292721687743,34.55598456449517,30.449986169230407,30.92881121956146,35.34238778040098,34.398942237927706,31.498252588651656,34.46040784620312,38.422988390055146,39.471480173304435,41.700976106883054,42.356422786100055],[29.235563512951487,25.774434605495525,22.43276975433801,21.19816802506535,18.537210727319906,25.315696581238463,25.714074599927745,29.314453044404328,31.635935162752954,31.394957279674255,35.16651687103787,37.17475511764193,33.76595038580371,34.0946222146324,38.461116446591134,37.83760825023854,34.3401017371015,37.68192150858003,37.986411517218485,38.4338508425913,40.90202867138974,42.40061167127164,42.975186196813695,40.917681436591906,37.97298808012119,36.25878056062445,33.592340222082534,32.29345479300995,35.223407358979586,36.19757255945843,42.30349459034382,40.75539887048023,45.34106628813623,47.62067503781282,43.56763959122165,40.839498096921865,38.634095293405906,36.51498857101496,33.80470059332915,35.72997998603367,33.140004489588,37.46546410493258,40.05190624633807,37.73640325702771,38.44047165774117,35.613783928970264,38.071621651529206,38.62913839686949,34.07661152764225,35.065057049053756,38.926867954110016,38.6353125267635,41.48999406809884,38.17822565961454,43.35803979402567,46.04124713431264,43.64153467701494,44.379271931714705,48.657770724157096,48.5255309371793,46.43457204526358,50.17112387372581,49.88642050434977,51.647576041218414,47.74184854192997,44.846717985984654,44.590527367978524,43.089859595884974,41.84125808941931,42.15851451832657,41.822567711745066,45.284810733387694,46.22155069957629,47.09742281131079,46.647480795302926,51.81595323406551,48.00448808522018,51.367238400645455,48.31746329730164,46.91437366687276,44.43772943972461,41.12595935437192,39.65093207606036,37.09418719305089,34.06798694361926,36.27403898116346,39.34543125148234,42.109935827058074,43.15474371558784,48.194212384872095,47.411517825953396,51.7122988398872,49.63272169360968,48.30234967002234,44.20414878290644,46.56346122694727,42.79517967220352,43.25712765477761,40.8301935542622,42.33905672765849,40.699222538818056,38.06205356659128,37.42089623595467,33.767148401426745,32.03892783663057,28.205221035215924,28.473514650747333,24.58906680243895,22.52844757734418,25.934430607018754,23.835064298238528,24.186244210837042,25.572182531635878,23.792219517007194,27.684077776120336,25.71154699529471,29.022353852196293,27.512517989827113,33.50035920000648,34.2257338872235,32.63659154793587,31.05808344548104,26.84709469508391,25.375256169510333,24.78711029439716,20.62367373928047,21.58012548929428,19.773025781175296,19.304414853468675,22.17923932264914,17.127877238857696,20.219199747288872,19.543079783946776,23.924836581686222,19.097299708154868,19.00159466835384,13.605588810135126,16.347038308004834,17.871386379530485,20.999450466364472,22.24092804020479,25.693810910278145,28.09647151055588,26.015023497276974,28.535078795393844,30.04198937275125,27.48589324026887,29.072411701912973,28.194387090941735,29.2719356353732,29.96595894063026,33.573583698575916,36.54963366843161,39.572588784199446,40.55656501384787,38.58412319667114,35.99493796884364,33.7346605965844,33.97500175837313,29.684306508628087,26.281962072802816,30.135948698896772,25.18862703864845,28.533049742050732,24.635657256053666,20.35913348778271,19.40265648575065,18.172868956438517,14.480545145280853,14.716310364046551,16.095964983758655,18.86301610241505,23.183073132173813,26.461404062379433,29.9782452467804,32.53576276238002,34.41698013699054,37.715762198389704,34.66180619876188,33.99056169499018,29.362096692449143,27.583825084119827,27.551544587046383,27.69738412553333,28.212965629712468,31.553727874574495,33.80460461287809,33.577102286596244,31.80490904839214,28.60435322952744,25.385023139230412,24.48947816624165,22.685772727067928,20.066223550555108,19.075085889432508,17.397898946549706,14.727435714551541,17.119484024634538,15.914120163993333,19.105184374972275,21.11065411384849,23.818577932740073,20.947193778709902,19.033552541521765,23.394867940611775,23.584095285964874,18.711848690834767,21.878870421135467,27.163618858150816,24.408364961913684,23.700274960233887,27.332869439690903,28.667433088325716,25.93814919883811,27.18453851617877,23.795780017461066,28.747867695939004,22.661814343370292,23.25852348058084,27.32709207095216,28.44886743649439,33.24658080175857,32.24665588371977,32.959744532250326,30.78122216780544,32.56098852663857,30.602153754515548,31.891316596063714,30.129809144031913,25.015842481880224,26.740048881789335,27.28472684884072,23.081146476897896,21.365864617705178,22.789873659758324,20.882170628766776,17.623363305913696,16.472024083440765,17.403031004711185,21.83765145678074,24.850854172024796,26.88570442355648,30.38986255745578,34.495866209124735,33.2911538474756,28.575678409626963,31.940548917080775,34.71794430095296,30.798690332851756,29.145154377532794,33.56811048692086,33.78764170209882,30.18795105340109,33.09316472733325,35.910580517573656,33.95179871468851,32.34174739440018,34.8644005013051,31.661981118481116,32.54455889086178,30.36271638282179,31.404025404922542,31.097773381796593,26.208072016493364,26.36596623785507,26.84857549138948,24.800714081956905,21.10377252454483,24.37408996362814,23.639961145105893,19.02715106679462,18.123070750093603,21.820781190048347,20.692813594071556,17.19344060010112,15.384671956958451,17.103888936613508,15.975058773293025,20.094712039630952,17.653370389247772,18.200178142752275,19.59942807859873,17.014875184324648,14.114519685321623,12.022668473324593,10.47338245789096,14.087430841054779,14.466990669963405,15.988817186420619,17.184179400194008,20.32487038811919,24.49735801662147,27.024790229028174,29.63763302575353,25.463112280072895,26.262854565200303,30.599011734879912,29.379765502027734,26.751678407170527,29.95446331322505,33.78489367591079,34.73226444274237,36.92642774041647,37.53278530831289],[28.291443404599494,24.92379249601451,22.106350382078222,19.721547612197508,17.825647171866088,24.30171297523468,24.55836048317574,28.549302208509147,30.20387934968983,29.670222251426324,33.382275751779325,35.83698656591713,32.38929222982843,32.085240580166385,36.68615437157765,36.41441873610022,32.69395367788366,35.978260667086865,35.97889440956382,36.94301442224814,39.24945765582026,41.10566300390496,41.36932168052526,39.19688404316904,36.488895400158356,34.458620975842265,32.146583479149086,30.75388329536841,33.903976279043945,35.194004569165266,40.887716402984495,39.90053675543715,44.45935490181341,46.710743254701406,42.81238870376609,39.85523184324448,38.11441279409194,35.76141866606771,33.14633100016791,35.68291549711048,32.53142913980579,36.42112850507313,39.318203182057424,36.95056190667936,37.35393011144123,34.483536288123375,37.11178603314717,37.99348149655662,33.53747661337827,34.978962405214055,38.97477955998858,39.05779684209954,41.786361595521456,38.21901691403278,43.64512035076426,46.100746473333494,43.27681868727303,44.065863306220756,48.48840160419569,48.10117793378925,45.63430022759797,49.24162074464752,48.90961987982411,50.313000258831785,46.47772109823921,43.69690755569547,42.86349610396836,41.42225092765283,39.69113986899835,39.99095453477663,39.35071694962585,42.619109953076496,43.942282581833055,44.926344902592014,44.88689380392049,50.26958955229857,46.77892186009629,50.36050153437799,47.56856406225368,46.4060585385432,44.27515831588498,41.22052235554689,40.05703204061819,37.78649382655855,34.416865936132076,36.25019810265941,38.90207832042086,41.83428711364516,42.31234099790601,47.41760776771882,46.21186039313365,50.29791229448364,48.152835157128976,46.96023951842962,42.750803668980396,44.9019957393431,41.0209851777958,42.10088556957134,39.830275300394504,41.764017015085805,40.27207454576805,38.19904875971094,37.55127130744214,34.378890674970556,33.23808623956176,29.305974457793386,30.24811729227297,26.643720153095533,24.289813833156032,27.222407357746786,24.48136813628342,24.328384756518844,24.928075277544146,22.823928167567963,26.116539686751707,23.811458557458383,27.11112918300225,25.23595275215137,31.18487187420096,32.11277393985946,30.17899347508598,28.704737072330555,24.222652360986295,23.097962397624446,22.894056198672075,19.307640237376535,21.095126690558928,19.81172138401377,20.20537128544732,23.53993609068836,19.09335371659985,22.797167710820602,21.857452012908873,25.868630182563702,20.53126073855562,19.486981728398884,14.214109420591132,15.651738630179151,16.153565852194003,19.627397879191353,20.08167094347249,23.91242047260381,26.364745818772377,24.54001653116255,27.530712567537634,29.032220541940333,26.36527214165398,28.19937621531205,27.77775528449033,28.582006423437594,29.868318433100658,33.06991757734585,36.58643809634474,39.2151287863183,39.98563256259085,38.27473769431072,35.44702493182232,33.69318271411932,33.6001789076211,29.9290319861646,26.38041400078704,29.807684551527544,24.639827763951182,28.381931496516593,24.906352071783743,20.07726044383259,20.21176117035963,18.987781645510832,15.701494325037787,14.8436244408751,16.774861179041597,18.800227057621324,23.6635555254649,27.026856892706274,30.393061711182234,33.13652195872979,34.43253523846883,38.278418959715324,35.20666629988563,34.976526836015346,30.339674704443638,28.7260378247768,29.351561121753118,29.785635782028695,29.69041522545095,32.972705135812554,34.639367326262246,34.68547860794804,32.15522409941133,29.52325952862351,26.489688322621145,26.027132415169792,24.7670971627715,22.354141565767552,21.854292213483195,20.73776034692195,17.712490430671696,20.41548509010426,19.06649296663159,21.57879367101085,24.038950600437573,26.15159668723988,22.801939920798137,21.339976448712534,25.76691264435601,25.156436172320205,19.96439738269512,23.736451321517272,28.849447890944983,25.200465448074684,24.60661449514599,28.464642956335965,29.235047233155054,26.020676749505707,27.71345030290113,24.561695926723633,30.029454383599994,24.364233792685702,25.298695077338436,29.480792221447356,31.278846770784796,35.985190340204575,35.39027601945276,36.17556544278507,34.21871893746043,36.1526073364507,34.05485960263995,35.73369912311401,34.0116057147913,28.64855181887589,30.543809146749194,31.449686940889723,27.1624357887084,25.323566153665755,26.951332054118595,25.260210737999287,21.797906099087825,20.488944582922986,20.98274227277745,25.122582993281636,28.350319091114983,30.09876860076996,33.4351044241769,37.46119550486917,35.90178231509925,31.217864348342626,34.5465989971642,36.98739880721086,32.73629369810786,31.200354994294646,35.4184422841948,35.244535695775326,31.57991586145215,34.922952919037044,37.405967147810436,34.923696065059104,33.72665956040412,36.60710456663249,33.64058611874767,34.94718410316666,32.920829597610435,34.4090105413979,33.8203000764635,28.634959879068226,29.422430614297713,29.99746617821977,27.60170824380005,24.190779367212446,28.00203539979245,26.941217893803998,22.01934220428742,21.791540564521583,25.64123486885756,24.059074821980317,20.309058074904662,17.710826574997853,19.514763529942307,17.35430093164014,21.5429338596518,18.30623521173808,19.35685413082419,19.826818582792686,16.71894761004295,14.548958902858507,13.237919917011062,12.401535012391088,16.442998755995436,15.76825190162463,17.92157414982223,17.844019819780215,20.944875450492333,25.592525638057896,28.33726689517807,30.395317254591188,25.85455915933434,26.8482772447324,31.05466089290687,29.18335031245494,26.371109093738912,30.045330143604367,33.71481224133835,34.42710361971966,36.49514399710948,37.18875903803553],[27.074895963202174,23.63186082243421,20.546485957686468,17.566189385573097,14.880398459360046,21.138077752601127,20.77130839491435,24.668128960537913,26.187998484584885,25.290528362083542,28.970077153886976,31.459735872366227,27.76235825718146,27.51651931504704,32.008350071851,31.66948594619008,27.894279449108488,31.157831381743204,31.255336199952694,32.19224607756414,34.6132199761653,36.5774840458856,36.939317944196944,34.93460028870628,32.0870529774841,29.905834289379545,27.47942831459927,25.961301596576558,29.07472043567406,30.402243063367756,36.072935199616104,35.16774867074271,39.72662905200204,41.9142137471869,38.034084498640894,35.04597448740079,33.39130544719059,31.040732884883614,28.515639000581015,31.359699345933652,28.16033941186395,31.866794981869766,34.916471402868574,32.73929201619761,33.33148747832079,30.64541594869362,33.490612860854526,34.1357320225404,29.631128053946657,31.426587317982765,35.25295919318422,35.416424245748175,37.92852661944482,34.11192062507822,39.505560553496096,42.04145257571294,39.08231688301482,39.6520568699197,44.16294492471542,43.902773937871004,41.21242545600428,44.67001416340978,44.21867818546967,45.69001899282607,41.92896392427247,39.03501533463005,38.157634565978164,36.62837685361048,34.97761759656833,35.25757455950338,34.71469891638493,38.072666232013,39.24318222812867,40.22658687026743,40.08218842779521,45.46937264142258,41.99724610501309,45.56463853726829,42.828055364368915,41.777463471544856,39.689083445518726,36.79710131642403,35.68371205487934,33.61790983612994,30.132696794322218,31.725567959249442,34.2759232916655,37.1795168007649,37.55002022617753,42.63040003078421,41.380412512303856,45.463285368302294,43.32859012832021,42.1682795641359,37.99738033026197,40.21472907555881,36.3998969061038,37.457247473404486,35.30738210917128,37.486224653460255,35.759389995794166,33.99875959961644,33.13978334435721,30.30915926824512,29.390172043825263,25.56897220656227,27.04650931944146,23.727927733745258,21.461272847815906,23.943750834306506,21.04121027340296,20.23621287058743,20.69042881842916,18.247369863106403,21.411387582783775,19.036156759059164,22.310234962068286,20.56447988453532,26.576081820683335,27.359374258547977,25.523687828484633,24.057023742995167,19.663284066056367,18.531604009915917,18.53434032717058,14.805580849946159,17.325226049147737,15.836683991384641,16.741112644863406,20.041742642236716,16.317506140982637,20.41392625065228,19.174072482701185,22.684633002836716,17.087498316597795,15.3975512626476,10.544239388770922,11.066275315555082,11.344803346438944,14.869271144126358,15.648602470672353,19.686638741523215,21.799056525184067,19.82810425424166,22.88441266808596,24.252633853608522,21.562165609134357,23.475543699338676,23.25448539469468,24.202644143998175,25.846748777390186,29.083619990399054,32.78681091794436,35.590340862127114,35.988441821764155,34.13265813268751,31.104973275254785,29.497252702180067,29.093130388808678,25.67449262597351,21.954534380813143,25.171165721717013,20.018274137491073,23.92689568796167,20.866298366906094,16.112869753113262,16.8212732903422,16.294249600435563,13.130721334144516,11.231688234850647,13.11374058818091,14.504529144929235,19.54324338492436,22.840080316440954,26.065640971104774,28.877332364765568,29.903851543384047,33.958842698380366,30.91182302187298,30.925925860199847,26.400099047748842,24.8497252541904,25.992068957986906,26.751869196530713,26.261366449705978,29.587746780089642,30.84925225616097,31.34900538085265,28.4828082798383,26.25336563211905,23.35184770193281,22.887099532499224,22.228154147601487,19.924252965401802,19.85825677859507,19.440962298169737,16.043009732394687,19.10816868289503,18.116739550347212,19.760007225015414,23.073732692204068,24.542989690278002,20.8877679363242,20.524663386142244,24.997184294390028,23.804144879362358,19.215587951227256,23.518581686344874,28.082169274794726,24.276382831645595,24.380826627639777,28.311206084199373,28.43944742807041,25.580679793679185,28.018390277788363,25.137305318280404,30.659017336558307,25.950708662710728,26.226322024448454,30.350236330411033,32.470680541494694,37.444178071169496,36.71873889460747,36.812143946497635,34.65590173454488,36.30206296237569,33.64571794041667,35.686968137792974,34.54682996126645,28.76945343209887,30.334188754389746,31.978534082233594,27.93145088783335,25.478508511244733,27.043825288273183,26.373293424719783,22.91124221468489,20.42917398131198,20.801650942812156,23.865512422515128,27.40633511246252,29.175823572664022,32.027148358797405,36.150566749276734,34.001148685689444,29.550734069143207,33.2914617877346,35.21837043555614,30.693183466608158,29.772914920156893,33.94867418952356,33.51604559786104,30.179920545708686,33.989152093943375,36.26341245422779,33.66649439974576,33.10733432064471,36.19811024261981,33.449449543994945,34.65091408176099,32.29956412201114,34.236278936709766,34.066508716134635,28.589719490312678,29.41298831884491,30.68818471804048,28.35579078494525,24.644627959264778,29.021384419504972,28.597774007119337,23.413545569704144,23.017342101967536,27.536196761693795,26.44946036046459,22.603107934233584,19.687715829940895,22.51467165779537,20.248821704968332,23.84073263102066,19.90716177277078,20.07871272379499,19.59147603447538,17.334480264269786,15.2792123152118,15.02898498233098,13.396360051916794,16.70065124171979,14.375304174254143,16.07352486057513,14.94426635147125,18.67031902432745,23.004986707067996,26.150390881749324,27.573355999672756,23.05213858381292,24.818719775438176,28.7575475440854,26.219144730368736,24.113317156383108,28.246070539714044,31.565396470565688,32.008964222180616,33.89158871397627,34.41206384494735],[25.986446361329428,22.427745323059266,18.78897935624019,17.225953193883264,13.876318060317422,20.60801740126483,20.72460193397976,24.260917685630222,26.60237644022348,26.354937320978102,30.125806225530205,32.04685268528364,28.69107023132006,29.158441462610348,33.482761148126656,32.842981114678295,29.51658335901621,33.031435010934096,33.72208198824054,34.17661485275891,36.930846833239556,38.65070169046742,39.418601607092064,37.65349177476931,34.48079643871878,32.4715158098664,29.569883056154914,27.91042732127847,30.58471685374202,31.33582487846242,37.43221945708678,35.77472624470987,40.338391143641,42.75997763385799,38.7776139141993,36.17665303936328,33.91584557660639,32.150454606237844,29.658605502868387,32.04352658368835,29.567087609871813,33.63489249436192,36.462742382443174,34.49851789374771,35.54154935053931,32.97434255650343,35.73419738397066,35.93341990810807,31.266145465352114,32.7040399946981,36.29485229797593,36.020768037860286,38.57251931460846,34.89621805498636,39.935020036296585,42.88145671728869,40.3570997526249,40.653456749609816,45.07909776854655,45.258884067646726,42.82937637615483,46.282786876295454,45.721451171517366,47.68232275194567,43.940973112731854,40.78672511789865,40.42061484339205,38.6430043661744,37.496219866628806,37.557745355448255,37.38453783773674,40.92433185724696,41.682319692893344,42.756933049026166,42.07105471605194,47.33450580673039,43.60762237703501,46.85522709968995,43.918107431864385,42.75963869434738,40.176213333742226,37.14357346427997,35.45518469871675,33.23735489741133,30.193451078580132,32.01196974826237,35.12768073616598,37.623792839337284,38.70059386479445,43.54436614793285,42.71995204434426,47.01102772393112,44.799994282560604,43.34717353097212,39.20721175487744,41.540034854250315,37.771603925613036,38.15326230272699,35.689882534792986,37.21257620876464,35.63646334412899,33.09386146263561,32.56055470974865,29.014586990206848,27.73796806192805,23.721849481821415,24.444896816939625,20.831698216594116,18.486842182028827,21.521418749598716,19.087740959435845,19.222676487104906,20.450684590527395,18.740261644691156,22.726497807886844,21.00076377800876,24.467819148105608,23.403741780016457,29.475970555521265,29.760276424292734,28.215886309804084,26.417369776716786,22.41474339797797,20.64759824498041,19.844288881295206,15.60535732202453,16.554330504307615,14.78153369023406,14.666530168754786,17.92142629108691,13.391688462211079,17.158900447275762,16.60939705163084,20.413727518065546,15.391405349273478,14.535070104658056,9.111156061971068,11.754250775991045,13.494052193641085,16.740521690591525,18.780757551014002,22.54338129699469,24.334215842881008,21.912794354324223,24.474863727148055,25.53377270976825,22.834084492139787,24.14928058757531,23.193519268560024,24.145333923999637,24.928914804062387,28.49781043388799,31.593922529371923,34.64633780829593,35.48252474402476,33.50280369073347,30.873004037659264,28.70928411275554,28.946004500805763,24.817615967550505,21.599118142262896,25.564145791297364,20.891072341702433,24.498184328486115,21.20972346745609,17.28367126639329,16.706482708116678,16.55133415406844,12.638745338476722,11.784716417887648,12.706063387257446,14.867812787078186,19.302928690493623,22.36744578348735,25.678280626308926,28.093472558920286,29.707591954711116,33.26422686767621,30.46224317691133,29.9475779685528,25.638907664681774,23.45161548112799,24.20098355577477,24.885796652544663,25.175502188622275,28.8017040330471,30.69640149635049,31.14936167965775,29.12987085809869,26.311344087741187,23.155301565159224,21.94734950936316,20.77957418212883,18.03116819056346,17.286998410764074,16.17085354433206,12.525441298535668,15.096605226473441,13.76814921860539,15.908065230117295,18.764396879073114,20.678845066438182,17.344229295023343,16.43884148891353,20.920903377677483,20.338123472764526,15.847709644748546,19.726580052085044,24.496760950817215,21.397274223135504,21.365862141224326,25.139691872005546,25.794694266286477,23.35101714475928,25.385727562098797,22.28393431682478,27.40582905588544,22.478185332394318,22.394337867206232,26.448164628762367,28.17730807945142,33.25441724714923,32.275914192155696,32.27476127583151,30.02054882434897,31.638386097140597,29.10103175716675,31.02839519267511,29.8069789012106,24.08959324896581,25.716560364856203,27.281003979437887,23.191857074750835,20.809691426047365,22.52611166709018,21.799327727357962,18.267229168967525,16.031351070250302,16.195375445073296,19.673320273731626,23.049234959946265,24.805993830734625,27.884434135260243,31.99684776852464,30.200189000618593,25.614643963102104,29.24849582389713,31.51144067743763,27.24183200476048,26.05490376269533,30.40335539594437,30.307609768897034,26.92538913048407,30.361991368753497,32.9276565467481,30.755372712408192,29.781480699394304,32.59781877066144,29.650799307337863,30.576789059172945,28.15055121241501,29.81596543452143,29.778025176666038,24.45562635827449,24.936193801909106,26.174998436685755,24.023869609801814,20.13346246376229,24.34391861241126,24.149323816867994,19.070418139773704,18.38717632941463,22.9928558842686,22.22077514845445,18.480662591661357,15.900033433191814,19.061205642149627,17.435024290079703,20.75006481598477,17.265660471210502,16.85513225194024,17.142027073325664,15.408329762843152,12.618808463465491,11.960969331138562,9.554307465675382,12.506052399283316,10.920789331169262,12.392056292341199,12.571700957151384,16.127969312490016,20.258633337557324,23.12436528070066,25.24073758218884,20.968193941414523,22.322213559230494,26.485823611334403,24.772919896100408,22.60079160505498,26.187194100079704,29.771184162731007,30.526929408086662,32.614066486967985,33.12866676533737],[24.154871431157314,20.69165396108156,17.51295223703772,15.985372727273438,13.789545182405073,20.45035565641974,21.17674778534377,24.990308312742844,27.14942174257116,27.285875428720185,31.071546149530352,33.09175377623447,30.165536457331072,30.321991061373687,34.90768469832663,34.546943948811986,31.350433046612107,35.05084603220282,35.83548037976632,36.61421937445334,39.41171919032282,41.38873138367558,42.0493404072642,40.276856577268205,37.18919500846032,34.92818894522443,32.135087214078304,30.242350426109578,32.84259738795635,33.48722780044279,39.37296076743403,37.777458092682075,42.28754455738231,44.93740508770038,41.09105845772625,38.55604055365692,36.36338745515613,34.83575309464414,32.488007505424704,35.19229629990486,32.609750236531774,36.45417958179022,39.46332494448452,37.544174327577814,38.50449664289248,35.918632159755035,38.74329850119261,39.063894195275005,34.42096591916398,36.00907998540456,39.63453360190301,39.415462186492405,41.93789914221628,38.157453679705,43.20366198693013,46.16673473613247,43.52744356074573,43.73159516855261,48.22445633827098,48.41234769458874,45.798934227537764,49.12204261713844,48.43039670527775,50.329699477948985,46.67819028904793,43.47787508430522,42.7734214813125,40.864637707958735,39.453203658665345,39.26577943733623,38.95971740004138,42.36875250510322,43.36298977498993,44.709275397690234,44.134169164172576,49.60345095851038,46.09147861468195,49.34569571640535,46.57012973244491,45.61591318182248,43.034703165534054,40.18431315717466,38.382862023502675,36.362397209828956,33.320421942817525,34.9000496626374,37.971551883618304,40.313614795800525,41.29258368430929,45.99358990588603,44.98422000230224,49.162937557659646,46.76288828852379,45.19859238898901,40.90109310853625,42.99679742019392,39.065169819334216,39.71983441487087,37.119212248808836,38.482145284838005,37.438884815364844,34.824517609243884,34.74345304524282,31.079252457774135,30.250945083901463,25.924149311248154,26.57840791218373,23.045556591268983,20.216477752777298,23.22184350618106,20.430616536722976,21.07458089518384,21.81304138788566,20.48947282905086,24.32676433234326,22.720094986230364,26.401131759921565,25.361053414419644,31.475530673154857,31.629850412755452,29.781238519735325,27.787502721438223,23.654181187836237,21.79782216209931,20.731804015987,17.04950512730917,17.48281443460807,16.532027083391746,16.568154279109066,20.3517743421266,15.815394618740193,19.62602079429159,19.59186929558383,23.274598408906794,18.43998788321224,17.29238159824509,11.77627106466433,14.296356190922426,15.621259411195433,19.212770511238155,21.047556913212027,25.119336460959325,26.82711874067666,24.42164651220942,27.224972056291264,28.036906860819794,25.16929531204989,26.25208062275028,25.21666660836321,25.633799899359207,26.29313411456576,29.470751769716312,32.6522550823395,35.20527118054888,36.36974308847783,34.774592478315974,32.31544822476233,30.333328761259246,30.86374476039854,26.934554366757528,24.143314989088513,28.20518900228971,23.68550473460033,27.509060468258365,24.47891566404736,20.48760229511199,20.12608470537769,19.923329411752853,16.038534653394,15.069637861329255,16.021999583070656,17.927040149987427,22.44503614625006,25.383024425488653,28.553281989605566,30.785779171640023,32.200461977462055,35.94667646056635,33.38532659789664,32.885311293274775,28.792282400978323,26.25758204998804,27.283366793814256,28.094203843119416,28.491050488733407,32.19863557836984,34.05642872955098,34.60689554638154,32.498373318314464,29.77850712905572,26.638051325120067,25.40713219281785,24.2023236694132,21.348877961326316,20.38746066594375,18.914074559869068,15.108579418541913,17.150780638489074,15.048683520269165,17.253286571752255,19.46982495067479,21.37109496447499,18.01477334563583,16.40210537236242,20.77522012442522,20.06842718155389,14.881554093396316,18.6912335008743,23.725934824413265,20.185118818821607,19.687535678039932,23.524976851332998,24.322616953817338,21.39380491505698,23.152416384277004,20.0042785433759,25.367210904919983,20.172742619194853,20.658902645808126,24.817419483695012,26.8615844239168,31.719169706237746,31.143007211125553,31.640133876763638,29.77225895945631,31.78062410061036,29.620626041247622,31.697021116525345,30.018320050953136,24.402802746354887,26.581623166092935,27.97685818833424,23.57389448801535,21.646897798279564,23.835243908336732,22.496670344699144,18.617912963554225,17.554973883757743,16.988346983293727,21.24094540380721,24.3934875274233,25.643097920064697,29.001401324727603,32.8217666375774,31.321649506580453,26.588272186781335,29.65715756547356,32.087542003299795,27.863672912944946,26.16101014914087,30.317511439707463,30.15567533993843,26.45928803943786,29.783173367440824,32.26219966616406,29.853319898857357,28.642992984728185,31.52491046898047,28.598778963903634,29.926290640929214,27.92688998579938,29.612952748278232,28.988430229605928,23.679627070134217,24.699787222207608,25.47203433211646,22.978959720165452,19.617164716937854,23.91845632546777,23.001790383700182,17.821789196092876,17.944627036006583,22.286389082557708,20.825047906775826,16.90047303168052,13.831302989900694,16.7492784810677,14.528293193765704,18.024346392738003,14.39188727936493,14.7013249553436,15.12247397146096,12.624166555785584,10.065623338388919,9.263316527208802,7.889943838964892,11.662570962388427,10.840938888774742,13.368582100525822,13.546735063317433,16.162796055347304,20.89024317387009,23.42392992961161,25.750995377248902,21.263642789768188,21.939122370425412,26.21695567245782,24.79054935392679,21.859106288202767,25.257571205368937,29.04235436944043,29.92674697251619,32.12493048577087,32.869449483998565],[24.593271321994752,21.274891448327267,18.344497817219004,17.686843695609024,16.144156240094933,22.68877635239296,23.947393136450017,27.687875381720417,30.027503654460855,30.550121382617778,34.33511783870113,36.21301818514728,33.58719472298799,33.805466927793994,38.4283422190745,38.08790989671066,35.043777309103376,38.82317001242347,39.693970156930206,40.44297736822165,43.2618631284494,45.18521098168223,45.86434545808093,44.05862591401131,40.98067445863717,38.78028231129206,35.96410710522038,34.07021679384534,36.59103398747544,37.083303558758,43.01195182644644,41.22794091262906,45.708307743075956,48.48000759421246,44.639460883293744,42.22388578032104,39.877791845661896,38.517271597562896,36.162079000041906,38.67387246448295,36.24492619220975,40.210407982150066,43.13290662568992,41.174870894801884,42.12721983948496,39.478562614555074,42.1991588113017,42.55117698807414,37.90313501421974,39.28189674091617,42.93489240801203,42.58777599754162,45.21107353853065,41.573431091246604,46.545575971442965,49.56125264299564,47.0678039575879,47.30011471740093,51.73768975383976,51.96742165275259,49.48807983957882,52.858279378723,52.172808044487454,54.1420370009341,50.4735835071635,47.26035428123252,46.6260132055609,44.68272869628304,43.292965187520444,43.02510699567459,42.72644362059492,46.10642127112887,47.127453613970935,48.54454424429607,47.92163740535095,53.39763496464049,49.860389564196694,53.046530328838614,50.231760435038126,49.23842066276649,46.52741220156255,43.60844722019396,41.63734103399206,39.52998135785705,36.654464182305645,38.35044235126001,41.57406627694352,43.806255932712034,44.97471796376992,49.59890031447909,48.675015975809295,52.87577373627143,50.41914412967075,48.75229271404197,44.4255501203047,46.462025961398005,42.49180486048861,43.05259180483712,40.30802464324834,41.34553215312401,40.57499087464644,37.62123486355284,37.81640172168207,33.82488269565392,32.89480680590168,28.474331440463295,28.626954651688138,24.964962180817754,22.052913156327275,25.346903838619696,22.776529549557093,24.04124010046805,24.908716840325898,23.963651193240516,27.928111958282198,26.48118209359864,30.218042148926056,29.22568032804229,35.34044458733302,35.45125591640464,33.56626639354653,31.487909369657654,27.372987777418118,25.425465440883368,24.11767014706868,20.565060234178308,20.296834336373287,19.561684195155905,19.155734087684408,22.895389574442714,17.975867038988945,21.325159526737448,21.737552384231407,25.62148638674675,21.207031191801576,20.513852219262,14.949174705940996,17.984325740972793,19.475840630816652,23.03801017829542,24.858910070177597,28.861036765715752,30.666699010511355,28.256387254153626,30.98262529453031,31.769583611098422,28.9002097552537,29.80406607437686,28.533292152697587,28.78680044593211,29.042318782063884,32.14914545083606,35.05318541026112,37.4346103571735,38.96686016145151,37.51509778406972,35.31550627710525,33.188449303042596,34.07062332390859,29.943725727667573,27.449930162880122,31.728266836281527,27.333275927935468,31.037771356197435,27.825678937111547,23.9413438602731,23.162487548819904,22.71096560307474,18.73413418328338,18.35744175384238,19.203250097583542,21.432223717224453,25.73194764144872,28.60623741701967,31.806927550155688,33.867744269420704,35.49689427610782,39.0336637543371,36.578408603354816,35.843836702331025,31.820679564447428,29.08864678213773,29.79955085520469,30.44082733896233,31.239432574763462,34.962990987222334,37.14211571048771,37.47472270945538,35.705408126278215,32.70268304847983,29.475840311182377,28.11138474366909,26.51306871105434,23.54141544371134,22.175655848986217,20.111760380490576,16.58555570218417,18.020618950141035,15.471958951527396,18.28205810145313,19.52415807155902,21.914786377875906,18.98344620560163,16.337810570979574,20.4713467693221,20.354400901164784,14.835944298365659,17.89478636849439,23.32109359919496,20.115302317299918,18.96104171216945,22.603263403556788,24.050335009146032,20.976373388536995,21.93934563772376,18.562207481550182,23.705155877067764,17.688777656656665,18.714519610929436,22.86909260797259,24.626168696882026,29.241651762052054,28.798464673753866,29.880942297573693,28.257942814850416,30.548924819673545,28.931995714486487,30.764790516616163,28.557888639412674,23.35152634815648,25.909774535976364,26.73733685379621,22.12426563974292,20.82660864169555,23.22630571586473,21.0406003836595,17.070945776655893,17.353671209318094,16.545452018344772,21.71482563128425,24.46572518555018,25.51231084832792,29.258947607607556,32.86752067239892,31.94325046504378,27.078693557142092,29.63458679894834,32.495957683810744,28.610052733159623,26.337152169199065,30.439555014718298,30.532089096446082,26.604041917433165,29.406979328249882,32.054106628803716,29.8324652539171,28.022742432807142,30.647870685778884,27.553558980684006,28.95763820324312,27.30660772892809,28.586059921572048,27.551418058467235,22.58330007616244,23.613190580005213,23.725842108567836,21.169944961865546,18.205802102015067,22.009317892849968,20.475341387912707,15.539651734165195,15.99924035683081,19.746509363062202,17.785246372693496,13.900756091171983,11.030922026184491,13.207750795997903,11.100606747339153,15.024272483116654,12.168657825729909,13.190819467666541,14.725905218863579,11.719266829622187,8.990461480942635,6.843791681696612,6.532617917150444,10.757565728382087,11.83090089963391,14.62210415608889,15.775030410447442,17.596733026547874,22.373826734037902,24.41593997219591,27.308407393310183,22.965576398663018,22.87183539869623,27.2851618384936,26.588000855322264,23.14211618287115,25.946657372652744,29.984101376113934,31.132953700382867,33.48703573661442,34.35952134264047],[21.856124890987562,18.68113978834242,16.382490031083698,15.227728068779284,14.87213413061735,20.979812315597993,22.580164902500616,26.57792064305594,28.51218516384992,29.24614075093723,32.97179400421964,35.01988350163929,32.768633606026796,32.59277527236091,37.42745382323725,37.41110991866461,34.48888388783077,38.41237924031209,39.39082083565398,40.52751418078145,43.408576569994345,45.6890179910077,46.260488878194366,44.527615110483005,41.52042673490105,38.96450655970211,36.27303118457126,34.07958728760789,36.498108487049656,36.92981990209917,42.51959209412913,40.93743340017705,45.33144862619582,48.29731166844134,44.65331872881294,42.27097125979323,40.12083662858064,38.982844268075304,36.84916269856949,39.90237294481697,37.281141121351006,40.84943759200009,44.057665834972816,42.24195045464133,43.156894684443756,40.585300822025744,43.488474737914046,43.89720359044999,39.27746796156201,41.03148209142154,44.64822517478732,44.463507834016845,46.91787997561005,43.02715366854467,48.0183897207426,51.04947501632462,48.30979203158966,48.34770427549939,52.913397186532144,53.17036847350418,50.338883933793085,53.467361958371484,52.580655022545265,54.45405262664948,50.944786584279434,47.65922206867257,46.56719766438509,44.45957080325061,42.77160455446799,42.22025269398683,41.7894144417019,45.01183075765648,46.25967926003858,47.97935139184462,47.48570720225264,53.1880160606499,49.95666711236602,53.16309877465675,50.59953033376598,49.91668489053922,47.29536818393037,44.69191396376275,42.6854373071151,40.92538178813319,37.944440411054146,39.22527218068851,42.27916817003663,44.35658147458157,45.275302344356746,49.726685728444195,48.520609276665,52.54504728801322,49.891104665501565,48.150184601877925,43.679029845579805,45.442092421739865,41.33566058058663,42.27653392179507,39.48636179301123,40.54230216980551,40.2546706242883,37.50126246281561,38.05642695586823,34.22443758093804,33.96922124078509,29.2986703655312,29.803494379612182,26.439276461579936,23.07631166399339,25.97475892940851,22.85524058044085,24.19846226784036,24.368033913667663,23.654759149855483,27.27542849163093,25.938504485462794,29.819310492935937,28.91801814484392,34.995519428682215,34.90697199480423,32.73030838589968,30.480167475445036,26.340960944332036,24.353958904278674,22.896628354849284,20.034483896882293,19.634595303555606,19.722659003742045,19.853133196261446,24.121367764390747,19.69816333318414,23.42486112050519,24.037619784578094,27.504475066653246,23.012280747561594,21.615030656519796,16.20023367936825,18.620944870435892,19.588201898462184,23.410658320473022,25.116181076368594,29.46299170682097,30.99151666106036,28.581808348955718,31.58693219484833,32.042651197491224,29.010692341387198,29.719209958386426,28.53067944674576,28.252138118966553,28.64421440820144,31.249697991845718,34.42225474704862,36.25358644139693,37.905064081949355,36.8548515971197,34.710207563046495,32.952398451516736,33.92496318373097,30.258045478592095,28.09942537809275,32.28883909174571,28.06989666798884,32.08295935476918,29.38326703422097,25.439745765363323,25.224985045383637,25.05542194214212,21.17305884115947,20.131269744344483,21.017363490421758,22.66517861479891,27.160850591072553,29.890117766532043,32.85537095784976,34.794459583253335,35.985877212048315,39.89784102846782,37.69795745361289,37.18048570861505,33.41897936054956,30.4230794914278,31.772827307314046,32.74823789098252,33.328049213566224,37.145521378879685,38.98816987186222,39.679778531580865,37.540794027015544,34.901349122708055,31.772534170585736,30.451873257098562,29.2019441192493,26.225781561758442,25.004492126081473,23.14474144819717,19.22573470443199,20.556290160133987,17.60559818107807,19.73225854929195,20.98719844989123,22.773509330601584,19.56447944806436,17.064654956390537,21.014497244263502,20.176037984362925,14.31051575991003,17.70841329980851,22.909677315067395,18.87971068895613,17.63967084879829,21.40548744620849,22.439319629492264,18.85905544672703,20.0491559692502,16.922795553322587,22.4999588633512,17.054532869159768,18.463825916227414,22.628644040115127,25.138729866116844,29.537403752913733,29.61102368973315,30.8284309518061,29.589315309712344,32.119810945148416,30.53896522232293,32.81359268119909,30.53604433997051,25.208558467283762,28.099998891338245,29.27758252388317,24.577139433665955,23.329138654562346,26.106280956971464,24.061099525874344,19.865187621162306,20.366232064261517,18.816262104891862,23.85195114108526,26.6092549803799,27.10491790069212,30.756989654067514,34.0789614780135,33.031309651022966,28.20045063390079,30.3878082535909,33.008348271786204,28.959968775589303,26.557428669080174,30.32504958141415,30.086801703104022,26.024272116412483,29.06746559909341,31.37125719525185,28.683502399150665,27.114886231747075,30.021058952789435,27.191715746423938,29.09381376675394,27.7838055608978,29.46634500042169,27.980495315712478,22.855609101391824,24.66157022839314,24.732863672861313,21.799544844187796,19.411672513931517,23.701982311261304,21.738764597171983,16.643945462601636,18.037355590425467,21.805603470159937,19.35187809882645,15.347862194938948,11.63193795861601,14.006981892952961,10.739483723666524,14.297361579809087,10.5225335106517,12.168930784579342,12.846189779878099,9.15896125647549,7.420919986957889,6.526404934926187,7.413382915944988,11.656542290884547,12.050044874626453,15.653515766699153,15.891549477109788,17.023415369574764,22.285905732021895,24.228974061537098,26.829634314837715,22.228265250567883,21.85434088953972,26.15606191521954,25.27714583211133,21.339955764560546,24.25232737120127,28.252130848834202,29.340454469167963,31.68377057429698,32.741744057536096],[23.617749587031586,20.64800610129352,19.02894163453939,16.570642308152784,17.003313141122096,22.712363594513757,24.01794327081264,28.345197459965004,29.571793565841183,29.839656131964407,33.47234140346462,36.015415777739356,33.555136971086725,32.728016439057136,37.731204041888866,38.010735553147775,34.74483487818275,38.45049556648744,38.90520364637216,40.47071705021908,43.03049938016864,45.48704103478694,45.68595461433526,43.718989256145086,41.046338608094764,38.38945757509692,36.145545872092136,34.09981488965244,36.86552058472841,37.76068798439662,42.97152892518785,42.021097516379854,46.4053582753315,49.18593741094167,45.63150645529725,42.933840369752296,41.2732021638193,39.65179677486712,37.47425680855546,40.80322614906738,37.62724644723135,40.93333210179982,44.27079045457111,42.23968246130982,42.72842053133658,40.020382402347195,42.92025706752283,43.76853338598261,39.30692879537941,41.24361292647458,45.08465815241112,45.23713245794815,47.715234805202385,43.7833835321363,49.0739661370314,51.7447738552214,48.68441992710437,49.00867878238804,53.61874893625905,53.469359423853625,50.48184261179458,53.64235831326625,52.88064331167885,54.304240328851435,50.77570087357785,47.75258873968871,46.22277784756777,44.3524543457874,42.19530683916465,41.81746270406161,41.02510113037848,44.0229316943938,45.70016948793491,47.35843985383487,47.37762547978156,53.18028870459437,50.18650718446329,53.665850325876285,51.2693019707876,50.65096882767543,48.43812484282703,45.90174151948885,44.35395007324804,42.64478017864395,39.332727213515135,40.51032681669147,43.130966801639865,45.55479029730408,45.907550058865674,50.55771614748849,48.991940300862645,52.81984350801865,50.226560033499695,48.73361482607648,44.228167715375534,45.85097548511805,41.68845427901802,43.24730010606816,40.703365943008365,42.27692680061421,41.91145386432821,39.7512711714145,40.058962918727374,36.73173322944169,36.658893819709576,32.11539415563366,33.11644407327733,29.842896085195818,26.57473665423849,29.19469918107494,25.753800356603662,26.427317547288123,26.053622057538497,24.820893821860544,27.79718320766182,25.98280890807968,29.685086432725516,28.229860191032937,34.15142131177972,34.500596568325186,32.039298525856275,30.066368133827478,25.62642688253778,24.18217698582132,23.328218857420918,20.967935436323824,21.668032351853334,21.916544962204835,22.677298322682063,26.964301532914412,22.83427034804255,26.824645649650837,26.862962777919126,30.355899079906113,25.356654732118592,23.55478708414451,18.283358375529744,19.62075810740506,19.674226684583314,23.61224370177524,24.28892688262379,28.717319765036443,30.540048163126134,28.544236348127995,31.88946844247317,32.61004888023986,29.604692726199747,30.7612898848886,30.11437118848732,29.819354847424865,30.857457808861348,33.19255317732349,36.85457196501605,38.43592162243343,39.77879147146687,38.86943633601101,36.42206341544115,35.094929388629645,35.591399837978386,32.419028487656945,29.850190129630878,33.51636897029868,28.92280229578511,33.10886370716097,30.455812577957275,25.91154201907068,26.415105229806382,25.813789320285654,22.35278886050792,20.91973128698304,22.431543517037465,23.777801255265974,28.677696865899854,31.63424604459492,34.604543271676576,36.87074323432864,37.67503045167326,41.94466635147313,39.50967545848608,39.35079753473335,35.33501816138737,32.835123482045816,34.32675408195053,35.263150390442235,35.323899345479326,38.93767919825352,40.40478550959241,41.010251398811455,38.29191538275074,35.98564355436484,32.98749145522437,32.20602525606884,31.164976461933,28.45732067196884,27.647336473152006,26.164199498849428,22.426742426308685,24.29296747275597,21.712969960430506,23.71975957237625,25.386453333144786,26.990827531772734,23.54507915962762,21.44583936877351,25.43526172629039,24.222032515363992,18.33587158984119,21.992741382676936,27.020767180302773,22.46820002963276,21.296369147994692,25.111867131745328,25.735174416558525,21.73062794873148,23.152605885588606,20.30395480064045,26.103935265317773,20.815328985978393,22.638238322978193,26.771004473141655,29.46549595431007,33.656329161396954,33.9479343151835,35.361880671436616,34.193206711928575,36.74867948664421,35.12967824299117,37.37251961129318,35.097019655478746,29.79317581527578,32.58262118491818,33.66381385321832,28.987931060472018,27.698801364906764,30.247896257602694,28.107784075013168,24.050141307991733,24.252479688110867,23.166713166243234,27.990911812024446,30.92140351553509,31.57773913835708,35.12889997306913,38.52665370728345,37.25893044593999,32.47537855382035,34.793608041884696,37.22546492341134,32.99458798535027,30.771219217502956,34.42727850680773,33.953331208338405,29.909750540081387,33.18821864783982,35.267190932473895,32.23973023822668,30.953999260903377,34.03682812104715,31.36574720608138,33.47847204285989,32.24792086954516,34.0470195882015,32.44904964276629,27.298195968933783,29.26365971412952,29.286687167513122,26.279834831213442,24.00589744591549,28.233985383305416,26.073087448481726,21.070042983730083,22.47246175117025,26.015177088486652,23.328334706651454,19.397865290436176,15.765823698745317,17.36365014951563,13.750314878259925,17.591814518889098,13.817396117620754,16.101078855461203,16.112813075257925,11.939416488025941,11.154153979767749,10.551571307321165,11.774008515384436,16.149918758781425,15.932967351428134,19.513036746988742,18.953615922992647,20.36256886686201,25.78960466772297,27.964695618781565,30.073627026857196,25.259778081011984,25.18123246042785,29.310029410788804,27.798053366090762,23.814886164756675,27.144765191219516,30.92770986428881,31.75916930690393,33.928733583570434,35.030905814049696],[19.957487203207254,16.920015678538412,15.377563470926342,11.72467034418531,12.51405368574186,17.669365615840952,18.80061965684594,23.26454684370918,24.120251298029928,24.3901991664207,27.968664833610685,30.598763715143228,28.346306268698562,27.336722351328795,32.411423739468766,32.87186800328317,29.80579207616202,33.66706894364635,34.457694413492945,36.23203535898715,39.002688812038144,41.79483387394862,42.07716823462148,40.398266242200776,37.621215361386135,34.59255419788201,32.28310364456865,29.830086083491533,32.31268589087031,33.03234943301123,37.96408829931311,37.10742998209978,41.39261772202777,44.32334228467811,40.958626007957605,38.375513052728,36.844925375837164,35.59224897339594,33.74616537163502,37.65255613260759,34.496803694362086,37.32357219035929,40.94220977439958,39.28272836022056,40.0033379093312,37.59883833545343,40.773913771025235,41.33525911389938,36.89610557713659,39.31335973643965,42.86366834079608,43.11261079313173,45.2417682499665,40.98376258348977,46.10425596888378,48.92438660002343,45.682191587967,45.5854149922421,50.313421391657805,50.401394799671976,47.019448971542175,49.813587207591056,48.75262780416121,50.26337712946511,46.96994123428637,43.74778072069664,41.90941429532473,39.76075062404069,37.541019860636965,36.82217384410665,36.089684317289475,39.06987771189865,40.70421257974007,42.65169324933618,42.559149547327614,48.50536397592355,45.752401068345804,49.138531982218474,46.97670355277093,46.70381920237257,44.51162936831432,42.38550871219711,40.73816584353449,39.48415280984738,36.140505689601426,36.78272941534273,39.26201717332684,41.40086101542695,41.59741408162707,45.98164369920062,44.236892471411096,47.93671033947151,45.17439779198338,43.58506380556887,39.00504560978835,40.467640650648214,36.25386619978585,37.98736372788428,35.451843044506795,37.13704137715307,37.01076017556261,35.16257740357646,35.666793980292084,32.66310196312508,33.29290818521107,28.653828276569612,30.232468679759748,27.42872363839412,23.90313947645779,25.875423008427145,21.94540933541783,22.326361328720683,21.271458691321264,20.194651644874245,22.824353087434773,21.264800688649345,25.099865019646256,24.062852395816456,29.928888030926416,29.809821137133152,27.225847207194434,24.999695659898983,20.72954835151981,19.064368580568964,18.015928835026543,16.2903645779859,17.105291164476146,18.02617736897026,19.49105026387459,24.108449467340822,20.903573097366948,25.304647526357797,25.436104912227066,28.19398184245048,23.226376639085185,20.569593817261804,15.925035593996544,16.401329005481838,16.014203593773992,20.03736281037094,21.138618364132096,25.872467536129097,27.00912960320196,24.82947208918566,28.298275294867295,28.47842769116219,25.346182858276915,26.18985790439952,25.635707564092666,24.92469015454158,26.232238245374575,28.186625587415232,32.15119497551131,33.4825384087086,34.639148131077924,33.91763508620711,31.419586129068527,30.45989706141862,30.89528005161849,28.263753712682792,26.046687211409733,29.55213410069908,25.38853599005492,29.81509861729807,27.983629923290735,23.819201214959495,24.89911846296283,25.11712944439763,21.77237509233674,19.451801514781383,20.633128589396716,21.090192914754095,25.94074484789516,28.55853675096358,31.14573640175534,33.2208323900935,33.52039603889253,38.13498746390178,36.03587859802153,36.14894824310862,32.57807379074054,29.800130404089145,32.12450759786161,33.54854925301145,33.31440981436103,37.031821715534086,38.02273247784957,39.26153992784652,36.22810760019798,34.435931568088364,31.61113244151149,30.69765884155199,30.289752136380343,27.62452968277905,27.099811956770235,26.13667559241011,21.874018189590437,23.786574722233883,21.1804816930573,22.092188850662264,24.41515778923816,25.101569255613388,21.256166455404966,20.216919191111675,24.13193770954569,21.951970737029196,16.517439757581876,20.903332101600586,25.211912777412564,20.041832322615583,19.650405739810356,23.605384605146202,23.25719799105899,19.404054379491274,21.906608287038733,19.54256620072207,25.55107628207101,21.738069981426094,22.844252153017752,26.889864563337017,30.241154348234712,34.6550996337366,34.99003502692722,35.69393851014934,34.483044481060105,36.86944581034516,34.72584717365821,37.552239143752104,35.79560422325376,30.01195474581001,32.68017878542387,34.63469916661819,30.111098082407338,28.271937596577462,31.000527379868636,29.826771089625307,25.6085592184047,24.93276455344234,23.308839810690294,27.197674276540624,30.363102897060124,30.701872312765484,33.77172464525324,37.07611494487375,35.22027830790784,30.673085672965357,33.126984417757,34.94279812765885,30.380409840796528,28.644285587125836,32.061437561102395,31.144159950454778,27.348349810870552,31.239574845832085,32.9184590668623,29.513136395706283,29.04970031844647,32.504798847808814,30.203099536422613,32.44087151335999,31.046586687123167,33.50065762623728,32.12946423460508,26.596910694203306,28.963240305758006,29.69837419021658,26.606436741264876,24.245752963164648,29.274153626023335,27.648466641178537,22.28816894772213,23.82753432438352,28.118996715736102,25.8400958035827,21.75325205785569,17.563156353943818,20.497179883840065,16.68784533064713,19.50343516068753,14.629920723674598,15.829811920157844,14.180825446490541,10.96956020607237,10.817506649030735,12.037590830742857,12.509373664192529,16.076994132551427,13.984194733329533,17.658532458067132,15.706624217810933,17.003543070842753,22.463757815239468,24.894764774576966,26.24451975450096,21.28569158474609,21.717464397548973,25.52417142538022,23.268161722607008,19.579369017195745,23.49275173011782,26.913215036867655,27.4552767697299,29.47269437828579,30.562020967038666],[19.246627888952606,16.777556444784114,16.54648086625513,12.403257189478609,15.056295087019075,18.91075369043656,20.384617452488826,24.92915088056886,25.07814353670852,25.519346980254603,28.837841447707547,31.70806722628085,29.958295234534223,28.33260458679157,33.54507801874912,34.452074352421825,31.53830017261709,35.37714277922902,36.10237068554387,38.357906829689064,41.0303163872821,44.14800359345234,44.21477600102017,42.55126197471694,40.00381725532984,36.69023217415967,34.703092661886956,32.08755833118544,34.48451419938181,35.2320420879867,39.584764142392736,39.10692438726373,43.20313313526486,46.251318855374,43.169596479747675,40.60438986393753,39.40436202612492,38.28096447356984,36.66060614515005,40.969358046804466,37.59474856403542,39.96669138236338,43.782425150891505,42.20015868806394,42.740405683642905,40.372238104190586,43.625998746318864,44.38601568769999,40.078208805717125,42.754126196458024,46.29276583174989,46.738438382099126,48.73847913254021,44.36240723652446,49.49414209908288,52.21114934095352,48.74155859421819,48.57104936027019,53.35393685996471,53.353301175967665,49.6891877426758,52.24864683538472,51.0545230517903,52.325817670476354,49.21900741166412,46.05954683818321,43.684118468084414,41.48237189680602,38.84406364135513,37.87459067455133,36.88610301235552,39.53745668065966,41.5539809876501,43.79153064442766,43.99866340596868,50.118855059948274,47.782016888455665,51.208367420156584,49.359909186473274,49.38746101698669,47.397755833274466,45.57945676924091,44.00722071400556,43.049445180050654,39.63955839559215,39.927105682177526,42.12378330970672,44.15802362716217,43.99905411904373,48.18601432832781,46.100788263482805,49.50680830216438,46.588128938985314,45.001981988690396,40.33680668630845,41.409966156122394,37.10472458003331,39.39892889741255,36.91779418741672,38.65920355824878,39.07690273091557,37.55195160831061,38.38049168237629,35.64384979694644,36.833759329469544,32.12028179850233,33.90267866226073,31.353742204224872,27.618966491760656,29.258370463841693,25.047085206805438,25.467901937276086,23.724711589135662,22.882632565491978,24.8304091552211,23.359925033013027,27.08452925876629,26.01355502126511,31.53906959906135,31.358874562767635,28.43886194810002,26.191469684261143,22.023576007533972,20.611784500946452,19.632312226671463,19.028279693394893,19.790550720293066,21.441499271510864,23.230747450136096,28.00460887106509,25.145184101060092,29.58702877951836,29.830894667704037,32.36314777146813,27.452936950071322,24.489203538927367,20.17297983533894,20.145570830410563,19.17950555438119,23.137682811431343,23.736655416552697,28.547842392900332,29.514212044230256,27.560407939549478,31.22454376975561,31.179360472117313,28.031549967771888,28.74872961316316,28.393973130480408,27.160865151908165,28.628305467106255,29.897445322534594,34.07190887261079,34.668241694462814,35.92253304086942,35.72410111368847,33.333984151822094,32.85903816178626,33.320113525230525,31.280458405683348,29.38865306387367,32.61112418732618,28.664186613095005,33.20628322515953,31.772947153452638,27.550843986455707,29.029981910830475,29.224736829345648,26.067371806656837,23.542515435615506,24.82971907262152,24.93883912812654,29.796165230213706,32.281382231340295,34.63383927278041,36.60530749288737,36.479949475116115,41.361592724242925,39.47498684929165,39.790958008342585,36.431951340829045,33.59530772527515,36.26547187202333,37.831323808151595,37.43116654536132,41.13805295113592,41.862471058940315,43.26810151858272,39.93796078971527,38.43691628190564,35.71527273455784,34.9317803138391,34.686650157419315,32.08129868023141,31.620378186886516,30.674117837092457,26.364934656503138,28.143329272231973,25.317381276643072,26.0021850446237,28.06782226280727,28.44809571324846,24.629109596429895,23.51518155929762,27.082881619122844,24.541776921116263,19.116947653841557,23.28798961944113,27.26340160167752,21.601233161378595,21.00494781507884,24.769583199678998,24.075309297246225,19.764218873892922,22.218356389344866,20.33741605841719,26.373120370806607,23.10546730074902,24.711848272418084,28.570979281452253,32.36870901258153,36.37983802628317,37.210019022211654,38.23459705409627,37.41847386781201,40.04321334648451,38.10951671737652,41.128582062706265,39.174631289010776,33.50875686764412,36.45431849523631,38.416167057248394,33.80814421017301,32.197991296923036,35.14052675583055,33.76831512819259,29.452858602692476,29.231861332101346,27.27295518596665,31.269463880966686,34.318303341862084,34.27453651134175,37.3275337612632,40.32997480901218,38.52771782629093,34.06028353727381,36.06699647746881,37.7372068289851,33.20300199105732,31.289580477370638,34.28147984590043,33.10784336093745,29.261719440707203,33.14394374221607,34.4474823003656,30.65790304601311,30.35848560934578,33.936783618119996,31.937032849397657,34.61215149970434,33.65201724832971,36.267687834077506,34.42465803681443,29.024998040514507,31.932119850458854,32.40861785869328,29.092009329323965,27.338702855437383,32.39860948374441,30.288567671748215,25.075870179368426,27.221557384333323,31.22025757292481,28.479712910308578,24.46705616334392,20.065977473813447,22.563772091415725,18.245799897307144,20.695576814218718,15.810767350003019,17.693932345576382,15.555358809119525,12.039380749947448,13.112100430358336,14.649104517452963,15.983706681476697,19.46645625957898,17.583538299271744,21.53373721644614,19.260749859412016,19.75998047393806,25.312016988761044,27.463108336552192,28.5217848297059,23.565113066517522,23.57060636672468,27.040971294863816,24.716459340416655,20.568392172057465,24.334331470461333,27.533347086030403,27.96427325192417,29.865368386942396,31.187231445470637],[17.056998917905233,14.424555965876763,13.877092919916308,8.695910791331402,11.271198836614657,14.488061316452846,15.649779562766982,20.22077939743387,20.200703142242038,20.63317112429132,23.962072119295442,26.798896098575383,25.14355012567951,23.579306635156335,28.784110251580177,29.70190816383393,27.00144680768546,30.98794925529931,32.109763120789985,34.33794939654083,37.242070270663945,40.50818927626709,40.75539375304654,39.3870390588298,36.66712818951052,33.16514169808935,30.997405735702312,28.07547440571794,30.153677320583032,30.66869375193123,34.93330871750586,34.37038437387313,38.40971486954885,41.56020483197063,38.57303013422673,36.158089471562214,34.942434850267844,34.17837166738462,32.81830351814905,37.42509851651702,34.24460039127591,36.32372671091642,40.26698546830166,39.023606489358656,39.85968379281317,37.78781155680534,41.19925905812771,41.59255300641184,37.31046765323615,40.24953134899764,43.480143420770844,43.900423128291,45.630343394141555,41.070266383991296,45.97055589913978,48.85320338266019,45.36813388007792,44.83293256772619,49.65264822200242,49.92398192927731,46.06037030895079,48.35598271797497,46.93624119151948,48.40394607718328,45.46613159671618,42.1050055409878,39.690329212610344,37.238432609201254,34.749764990425575,33.518471280883944,32.71697498522529,35.47241605269521,37.26428816093511,39.67608499581588,39.61958032543162,45.77470652344078,43.50620977526108,46.78855030863307,45.04174002345468,45.27211130409443,43.21214125990223,41.66770720431366,39.9642171823564,39.32408941809439,35.98319635002503,35.90671700497106,38.07579128650522,39.834323014419894,39.70124189957132,43.662004412736785,41.57066625927707,44.960451931718325,41.942531065338,40.245750550965404,35.5573396471799,36.61404983597339,32.30092182952961,34.524150631629965,32.02464172941294,33.8143870404713,34.28726201621188,32.93199592582284,33.8505227962756,31.337328511204223,32.96254240514455,28.278487222151536,30.44585748349533,28.290844114253847,24.521618548721946,25.63344312242326,21.202832785352086,21.346847035468276,19.1682415855566,18.508257646655817,20.256245278264313,19.126172800651613,22.950316398522254,22.40085284211311,27.874359167583076,27.203081067708197,24.331615052428045,21.817183441067236,17.920586632241907,16.15804115571644,14.87960965701007,14.782613735452081,15.552750476378256,17.651441408841304,19.897382018250852,24.709414887290233,22.65187940326876,27.21757613158194,27.521289314569255,29.437373090945478,24.737173749780997,21.28200632892297,17.70072951634682,17.11027358400357,16.006343242882128,19.810335155775302,21.021181725342586,25.900993658094237,26.234043890374597,24.053243029001848,27.64251879696336,27.13130660558957,23.933789382808023,24.31443707553554,23.95978980677845,22.470552117363294,24.100090830461564,25.179613919209903,29.52316821290504,30.125576547328183,31.165712034234936,30.97179652975613,28.535859774218768,28.254090093313653,28.673148815235887,26.981298223178975,25.410174164178915,28.527353128610336,25.05235808976146,29.644768128880692,28.842652543604043,25.150544880067162,26.864401082150767,27.733042089358538,24.687993217893265,21.698289328833255,22.57808357696408,22.05416485027209,26.641650749918497,28.778321954812046,30.802885522476284,32.57168725213124,32.14352451805168,37.164353050519814,35.5549005592074,36.015198511744295,33.05725849477832,30.025717663473213,33.234432634848616,35.12907071087261,34.57825506751242,38.32498883164724,38.75608274800106,40.61996117218799,37.222761586479926,36.05065732280505,33.48446574408805,32.53804723790879,32.73073495866387,30.185508877666823,29.90777543326404,29.34933658018985,24.812611925395313,26.577530463088134,23.91357147280644,23.783233200362844,26.36997745924132,26.092672729849074,22.08755475030124,21.9389524654631,25.407187954564957,22.278187804250937,17.574135968700563,22.16880507235777,25.49230365666638,19.708689354139484,19.930854997503463,23.71082654152801,22.30023711347791,18.518702797993573,21.85727760190888,20.288038337341604,26.21018418191583,23.98333823096004,24.766984184255488,28.505430323172664,32.51752819381212,36.801275930610444,37.427949721754906,37.74567013724648,36.743512392236916,39.091858506642374,36.69442583781019,40.04228511070863,38.59978077551595,32.63234584705878,35.311785059741375,37.89782921648966,33.52158261344665,31.45422292574113,34.38534723703415,33.815554049488014,29.51472067467329,28.51740837276742,26.344092302548837,29.460689226557673,32.649196182063264,32.49319474176587,35.09507675908035,38.07384976849567,35.797399852731736,31.595061415948237,33.83354587852845,35.00193355687677,30.265415241134257,28.890723273867454,31.762211376990553,30.317301413970725,26.811410641818853,31.14055629618545,32.214575993812495,28.319592677290846,28.70498333930916,32.47248039648223,30.708038837538314,33.243117699643285,31.99312851056894,35.020997110523545,33.59554046882578,27.975531093870266,30.900984571471135,32.02561943247574,28.826552688547746,26.81280251373989,32.31453778365363,30.848656213903077,25.466485844911936,27.383308306153516,31.933022637606886,29.731748045423625,25.680144575205663,21.177348065850065,24.62257794095187,20.57494094847799,22.45185756968299,17.120886535483205,17.783676185290897,14.650034442138267,12.532644375712561,13.491705176340982,15.878539839836067,16.3121204792419,18.992819516691206,15.776428290017233,19.39380564859793,16.17340962899947,16.711565509201566,21.973827556454445,24.37068044831425,24.779414903911025,19.841142743522077,20.4860371276908,23.64003082042152,20.641673528183127,17.08192224021398,21.389534299437265,24.21513418703495,24.36764925040168,26.11583482563626,27.313671795436175],[22.36438776989444,19.53050823967439,18.15733115016714,12.99689490645743,13.32214116103404,17.33890737053049,17.21045161852184,21.72377109046987,21.59222292907432,20.795146553224328,24.167897420141045,27.38168864021833,24.59384047918456,22.88528973774318,27.972079773176933,28.677989421567105,25.200073521997137,28.72713661790817,29.03116144878781,31.241384503294427,33.74434225328614,36.793068318797104,36.79277707516537,35.087239178871116,32.56426936854286,29.30008304856633,27.427254105835488,25.02691831775512,27.77796704594366,29.039808599765554,33.44090992027258,33.38306645103964,37.60140737846493,40.19999017364706,36.98210703764427,34.065175962130176,33.18870969147732,31.452463448795186,29.7260211685255,34.12616566769848,30.457203306313158,32.70008205870249,36.52947692475117,34.89438050957599,35.35585300209234,33.05693802422276,36.37935510380501,37.13938698149154,32.92511702778031,35.810040677353975,39.302259996931596,39.95969016614829,41.84845844773827,37.4162443848724,42.677191413546446,45.16497633908188,41.53775335285796,41.51256362493424,46.284844981196166,46.08801431117955,42.3902735477995,45.03045003437827,44.00347678838297,45.10194272188665,41.899438392014034,38.88164434149004,36.564609203776655,34.606733762327316,31.985899047082153,31.449324220152544,30.430983650000638,33.272685544976206,35.18403415374012,37.03027393157655,37.37244118903762,43.366697419315265,40.89073784063007,44.5131661986038,42.592390252274875,42.4881324924398,40.80148889146684,38.94121159442908,37.8485081915886,36.87209581823588,33.206289177085885,33.4713992975419,35.323731119885345,37.751840618726284,37.23880198937676,41.75329104269727,39.61842391313378,43.08427102303683,40.44636929674716,39.18955254233391,34.67301501493112,36.07861584465963,31.924773518153962,34.27489872130802,32.19753918554218,34.717238609526575,34.169567383896215,33.32059983735806,33.28352615790767,31.238050572287303,32.197200253874456,27.9960525504839,30.46053124490586,28.085714519769795,24.951669962643525,26.195949165276872,22.061174303131047,21.078998553816433,19.30259503043675,17.34871921721609,18.82952616831321,16.69530678472935,20.175777759465017,18.702825013251218,24.296682472168495,24.48558007507461,21.6759362063098,19.793952982808474,15.29315928421848,14.370172493852202,14.419928662623567,13.533524247566584,16.356792751576904,17.22909507568496,19.6799539724174,23.932336075899318,21.820814035275102,26.445970128747902,25.816585557005265,28.039445508868535,22.735141908549036,19.331078943820106,15.845369833684776,14.271996594421351,12.400574111138441,16.21306421475309,16.358315650447945,21.19127556160963,22.12067960763677,20.35871938170372,24.142695323924723,24.39165838057713,21.380493195178385,22.736191365151058,23.038361051672812,22.477155191214,24.846818477313086,26.531941204163225,31.095234867161505,32.44837755059365,32.786782998542954,31.992296441589378,28.979909165774835,28.64482304422275,28.200760830207845,26.457437007164852,23.771325937552493,26.317880214954183,22.04747272588149,26.598616564106813,25.398837901909477,21.074411117450104,23.305000879182924,23.70825897764832,21.154838021547885,17.939651166995855,19.443505324426823,18.881090134893395,23.838431002079126,26.419684414923584,28.724609345019676,31.112154053187997,30.731506225389257,35.78014022200835,33.51706699189668,34.22213330889019,30.643713204854077,28.541551006454686,31.3442577225326,32.9402178871805,31.883030065693674,35.30814250439654,35.53219072889406,37.062143363847206,33.27463194874217,32.244072531544404,29.791838471668655,29.414679416634296,29.72350381084215,27.538150466558285,27.73282552633924,27.64827462030685,23.540114439018495,26.06889075944107,24.223119742827887,24.454022829657553,27.741927007536503,27.85941346792667,23.749787475100163,23.981679656896986,27.92846853919377,25.19827202823119,20.608087823068303,25.40288670791164,29.068016596868468,23.75871039028065,24.14589509669376,28.070414392937654,26.91220873148578,23.427255975283778,26.69700499694602,24.73350820410986,30.677569849613242,27.62456708380762,28.276336811500176,32.22733893593683,35.694568584074375,40.29066001647284,40.457688680028134,40.62006726655229,39.139839585923525,41.17881287171456,38.49389148668839,41.45309245290118,40.262018128644854,34.20487402995963,36.36999765022192,38.7595107591457,34.513300965108265,32.13087049062514,34.467412661092574,34.027144511907366,30.03459455309971,28.144271652769383,27.036494998492607,29.820126421153606,33.31598338808,33.959943002534025,36.47472645900953,39.96799855546561,37.41572411884118,33.21277787255427,36.233281408268915,37.425770837438826,32.563531469503275,31.663999829352456,34.98627232846683,33.71754814844699,30.399050515830037,34.81143715152372,36.18085661863384,32.581066010592245,32.94618373774814,36.61147587051156,34.5808153596638,36.676547959839205,34.927897050236645,37.73736992069055,36.84554192456215,31.124281948745992,33.34240688858273,34.6792179544096,31.744419976644192,29.007808448246443,34.266645628644646,33.21011957514695,27.750964608007187,28.80913002326625,33.47611748603422,31.63401794379814,27.538837956966837,23.458179597683163,26.6470943198612,22.99221756859902,25.72149608755881,20.678959883183346,21.297779306801527,18.830274890100572,16.530590205144637,16.477989043252148,18.0048847413093,17.72563744278763,20.814844517904593,17.343166975701607,20.2140036949645,16.996744014899,19.11426612096448,23.998028761701,26.96643476506277,27.226556484442707,22.34732596522454,23.93323904010785,27.18078050572062,23.672136221790442,21.06661554688051,25.714809581329433,28.444507024159144,28.42114275010914,29.9932536695785,30.847622224483473],[24.23759137520949,21.977606100826655,21.623805336902894,15.942108667619008,17.5285894187847,20.119804347385553,19.873617971990083,24.304685590941943,23.10418974854902,21.969526866777375,24.846754915593998,28.534340070541063,26.022009185058337,23.343478168261544,28.436707687719938,29.70980661955761,26.21131416815695,29.385931345848096,29.22154140981152,32.129598993405864,34.255172319656566,37.6778027254006,37.23884145000461,35.47309946558882,33.439188019701916,29.896578309339624,28.709474013572944,26.345419335134025,29.142263489609363,30.736023939312965,34.20485000196883,34.96515862550388,38.910686083147546,41.38006206533651,38.5351092916167,35.47540434702065,35.27350254986929,33.368293323827636,31.898986540487098,36.730895200762575,32.64254076101385,34.16530249224134,38.17859850451708,36.56806380552589,36.61950256777368,34.394621326904854,37.74289009919656,38.872099538785946,35.00834822223665,38.23296068865002,41.70067683580665,42.72019008178933,44.423039997396835,39.92796756674067,45.24319187457946,47.37817352954312,43.401813744573616,43.45073749567235,48.21806443898889,47.713566133266305,43.68813307072623,46.058519901839944,44.997225465736065,45.56741564075319,42.59260903775633,39.853225091054554,36.78172616778119,34.984817235732855,31.703509592609436,31.100074438479062,29.595242687595178,31.92204243099392,34.45302353665872,36.462323452384645,37.43996719080799,43.54758352509719,41.645710853508135,45.429232636111635,43.93461086094849,44.15045742894646,42.95681329922007,41.47301410783899,40.77530448810915,40.1312300024418,36.30393639312938,36.15458243572337,37.40258584596094,39.904935515953845,38.69048561865254,43.075170278073706,40.43369281625773,43.44341622941565,40.78168846459157,39.76072148674697,35.26807333482886,36.24044954199568,32.09564468151426,35.3152459072431,33.570490310969014,36.51202078032555,36.25341324252117,36.1417715936536,36.13261027503884,34.729382372142474,36.19354212508906,32.1630260516731,35.00430354401038,32.92372717335242,29.789016794545383,30.62544869104914,26.306086619501702,24.98615413005686,22.488006378623226,20.483423340653612,20.73553876225653,18.47003516450014,21.39623758330407,19.580887318828918,24.378754003298763,24.818225413168072,21.591629919516087,20.05590548468506,15.738247498729454,15.715222608263808,16.45013123043042,17.0028950233701,20.229834477280363,21.592752015763757,24.419434088232087,28.585912582568774,26.941300137790122,31.585205123049533,30.79829568756348,32.76762857084836,27.456723867755407,23.78337062617435,20.860676366733966,18.5581863431322,15.87694643015383,19.193965500010687,18.176696448602243,22.78643888406485,23.572848572907166,22.422707596250845,26.388153820602742,26.56136111653825,23.741164283103565,25.226143246060737,26.08050272638166,25.169929354792007,28.019759938065434,28.980000139925956,33.87577123882188,34.57643264742199,34.65354931890004,34.30482586271585,31.217341346224988,31.569278916674257,30.778339876057444,29.9241264180915,27.351328404960643,29.17031628763859,25.11097971253465,29.63210757176295,28.940737339827066,24.538573092738453,27.41041259994067,27.665936410032874,25.60498335897305,22.1803479521002,23.91513951059948,22.89496461138829,27.74800724278803,30.199687862443763,32.193162433240275,34.611610389888206,33.62741817902187,38.97932969731304,36.80993553784695,37.903264056666345,34.48271105466791,32.690400633952976,35.790271965249104,37.46535695658492,36.00465178494684,39.20807452654429,38.93779076873981,40.587931217394924,36.29463406118927,35.805488151446404,33.63336952011817,33.63914130449253,34.23410633675408,32.287440734788795,32.72519511873765,32.84411959623395,28.826216057196056,31.427724593039606,29.59189390628225,29.645735880819398,32.92632155610697,32.784287939323576,28.64920360843438,28.989359410988694,32.75469990809647,29.703378757649467,25.19281045100551,29.929979999828642,33.30986367537582,27.6301660110314,27.987245768684453,31.781337557174677,30.230681583611666,26.504959973270257,29.84575258459847,28.268862168958854,34.23330130567182,31.574036513426773,32.55655617281303,36.408157299648344,40.191385564908884,44.54079256195295,45.03479138036618,45.374294466387425,44.1059551743749,46.257937916650036,43.62032137311739,46.70767523982304,45.45759860927989,39.418479363496004,41.683100930666164,44.10197577139702,39.80904572444609,37.4955524503879,39.87276250429452,39.345872374411094,35.31512210895076,33.54061962117089,32.38862372184155,35.12712956317086,38.62102671279935,39.10948967585519,41.52206801019997,44.86458884119519,42.19688466900677,38.12472107007237,40.96279808455469,41.92024599859339,37.01920685091547,36.17311178113601,39.17034724185978,37.63212611349272,34.391373609492646,38.902281705097515,39.9235030887059,35.9932020717912,36.6630186656094,40.45918289058882,38.69432070514786,41.081512558609624,39.56896145430989,42.547124550763684,41.402807118285615,35.71980579248854,38.27510423000968,39.50893961188651,36.42661270964768,34.00283969395822,39.315561996384425,37.975245633643,32.55140731807682,33.92227183751557,38.44682613249843,36.30455750887288,32.21020135587438,27.98485142552695,30.839830135585107,26.835697261691248,29.48419018958541,24.427924786898608,25.501714075178068,22.675008872776907,20.188881934972052,20.804654276334762,22.45302844576192,22.67881307499863,25.857899956615505,22.4328283313352,25.411539203584184,21.869746001143398,23.569521937287323,28.36907198082485,31.233175658596664,31.006627074515904,26.213565631492465,27.729035172327887,30.554385776863803,26.68091128618894,24.065695013074755,28.71780083538427,31.045651667981527,30.750509862265776,32.05688831484337,33.0155581782899],[28.04413644267402,25.728765675441363,25.172800487123915,19.59256408546985,20.631510142643585,23.56815972377663,22.966473272115845,27.30240048748899,26.041774616283003,24.38023842640993,27.138664996966373,30.98829142769734,27.993689951708333,25.175291342774695,30.06497855159613,31.279084962408092,27.389959467450907,30.11218196151284,29.245408740535204,32.22947889600827,33.909138408207035,37.18357590880442,36.42432584790559,34.35078694172435,32.65516066012944,29.343180121151516,28.584280200537172,26.70846910835541,29.921227581887997,32.01264132975729,35.36235014227407,36.53827218260509,40.49877942320507,42.58728899961762,39.686237285576205,36.32523651558141,36.43273509190745,33.887756398022255,32.21186900269771,36.829856672177044,32.38233070553103,33.912285529944825,37.78833880109911,35.86273817448931,35.483865898647714,33.08790264686897,36.268942275600246,37.807145940527,34.14826065431961,37.27840741702847,40.94568406707777,42.17277395063412,43.99270200724257,39.67902278317108,45.21933095924602,46.97128771242485,42.885439791517406,43.36985313482744,48.044484251344926,47.11697516733088,43.230152883675494,45.8110209737356,45.056767151923445,45.23096995070213,42.12172233684671,39.74709176655515,36.63448950039103,35.27731041800863,31.801995953873828,31.700687437217464,29.941377962399798,32.13174398945894,34.885792088672304,36.49175390593565,37.90458179621542,43.84342837629493,41.93325780481045,45.946529897520094,44.415531524200865,44.43428228724042,43.57932727471877,41.92494211900621,41.692337417097164,40.83892912277786,36.82922444213969,36.902557645015946,37.85052334724047,40.791449242211364,39.24360956439992,43.93239995773218,41.21014731583935,44.14949677088098,41.76375307087492,41.0746960663264,36.75096971356471,37.83506917846529,33.84682061840362,37.22702524107545,35.77061691501742,39.073273520740386,38.339986496267464,38.52555571880899,38.031284885912996,36.89805106962644,37.97875141596433,34.24014830340934,37.141538018200166,34.92040719372989,32.1060663997689,33.07186554314116,28.950299728464213,27.220740991912784,24.979519327652117,22.438364178918395,22.45336660972512,19.672732372214593,22.12469801443868,19.59756430023311,24.093047443257944,25.272514000925486,22.109793940102143,21.175559067453705,16.73397756108039,17.4249403017672,18.86676133635639,19.07677498214666,22.99535462865049,23.805583054293166,26.58394267482544,30.414542849540165,28.64028798903538,33.20820007302559,31.94763321667141,34.15181234673573,28.592961137637385,25.1321278256022,22.254305685632545,19.64131398265667,16.64813463494724,19.67837159832987,17.57493034023646,21.840119985572137,23.17120247837226,22.54443163967685,26.539220231150765,27.271997607470947,24.69680479280967,26.753904071366424,27.979692379613677,27.53646929216437,30.667128131458043,31.856983456819226,36.80020405142447,37.762629903537444,37.554127074812165,36.97714932800241,33.65959375022512,34.009962978356235,32.79460093851993,31.95168191250879,28.827108613387015,30.228853621569645,25.759318863277755,30.109073575185846,29.122247904016753,24.31931117862378,27.466220576968794,27.218850595923247,25.58471836669962,22.253258288019865,24.41690150091093,23.50451804789359,28.4485298774269,31.148584887641263,33.28642946696842,36.04289210585985,35.089285533814476,40.38713534523914,37.84378881532682,39.0726739340833,35.294115808681795,34.11323605082598,36.865977722279574,38.286813377629905,36.563229299850065,39.46265820356281,39.0682786236343,40.38153262560222,35.8608738708372,35.47850586108789,33.43926595442686,33.88729212102536,34.471194967093425,32.78177222745321,33.44870300627494,33.743711913887076,30.080566451137564,33.013893587233866,31.536306912794217,31.905179883372597,35.34768829490843,35.49019645815571,31.36283707165115,31.659584532212424,35.618159914232926,32.816301392329294,28.198690870817636,32.93792665617576,36.571817649252495,31.04115388897514,31.305766463262856,35.16617477877821,33.81803077272454,30.060747428593807,33.24072138813565,31.4710370453639,37.48725590646579,34.317125867333104,35.43046374054668,39.38894458893201,42.92352785760888,47.318635851202686,47.68811993436077,48.131845952298356,46.70718805376148,48.787032537606024,46.13073322755096,48.96913806051526,47.716923458998004,41.72730021001687,43.816291925946295,45.9909898463957,41.72532685522305,39.38933865532476,41.473862069570146,40.815812651862736,36.95818660020656,34.97094571310494,34.36683206081835,37.124438371983736,40.706353208266094,41.564739716167125,44.02203968971761,47.580411836393615,44.88938742267096,40.77886524382238,43.886622419559735,44.94423683749557,40.03028781682109,39.269793346586255,42.46024536213769,41.02829339494529,37.78522046681403,42.26082562477687,43.43038415855495,39.60163949240097,40.1451735411309,43.88517274882636,41.97508302027667,44.2370260466877,42.59167893176464,45.40279243039345,44.37774698605967,38.69449036877131,40.97711270641204,42.15339376360376,39.14990271051327,36.50448221198801,41.60460380485878,40.28572670585303,34.89023369700041,35.95396018581825,40.36742489983609,38.252836225259784,34.182130660340015,30.185899808793284,32.67743251689384,28.814103535743534,31.896536751781795,27.073410239561962,28.365173964521087,25.912064248155854,23.13065339797423,23.4513951543901,24.632814346264144,24.78207860430929,28.2401506398589,25.007951417051576,27.75664233619251,24.430356788819417,26.640514368204393,31.35562432874244,34.380277744902436,34.1993044564346,29.43249386916273,31.154346405159448,34.07258175218458,30.124147701091484,27.70680170764723,32.39804449508,34.76408210863209,34.45740068599914,35.73170971541431,36.594832194678894],[27.701671550290406,25.668488961370798,25.39279553921966,19.48806189683581,20.70556424501168,22.354239660965177,21.313868269931415,25.359831493597802,23.375073868961824,21.3881626914041,23.746667478234542,27.801352901260792,25.031058028953506,21.69236764023992,26.482921823077206,28.03450909093448,24.3421328429635,26.947537233008752,26.194978416017094,29.571251142818113,31.280387801590567,34.92238176160647,34.133504260528206,32.36905276861858,30.748986292949983,27.06283686199195,26.512241376383646,24.347649392247497,27.247619736235347,29.310359434561313,31.989598886176875,33.572854987893685,37.28786387183666,39.38021066789279,36.79867548512957,33.52109356231397,34.00132010483461,31.72807615520812,30.46799686361708,35.582626338647906,31.16427150283177,31.977631256010913,36.066547933351465,34.52874268000514,34.26738294996194,32.23583629456356,35.59236233620217,36.920856331012146,33.470254480708434,37.02520454027148,40.321264893214334,41.679942013175214,43.12633594146711,38.61849974007824,43.911155537846916,45.66421606720093,41.408293570940785,41.53826728444285,46.23593956599927,45.45304734597439,41.191116999556314,43.340889153909906,42.3268801937111,42.42102419291559,39.624911434584504,37.18626480679248,33.59841213665567,32.07192571303955,28.348701712161084,27.936995083449965,26.05918506681358,28.041281492420445,30.955707581630133,32.84995717706367,34.3692933664828,40.41051047009042,38.90593476393365,42.85260999730768,41.666486974104835,42.06971815983881,41.40477493358605,40.22901595414379,40.05981859415424,39.69306891195744,35.715753272911364,35.21495070576599,35.80729852464942,38.49103380357199,36.5947554518934,40.96289360333013,37.95692023210791,40.61107500603934,38.115465691044484,37.46365100434428,33.16230488596522,33.97465372869543,30.02628260428649,33.83537541255193,32.60116530810765,36.16871409408317,35.61986882081294,36.37452388492525,35.95696576567709,35.38661073466356,37.06923181579006,33.50567743660879,36.8343178925069,35.102448455798005,32.31231798545146,32.67118310127868,28.433835619595815,26.327398868634862,23.46720899088931,21.029313928749875,20.08418646437418,17.5401129307629,19.641383674917353,17.456212495576697,21.33163014800307,22.14794081627185,18.775550572630607,17.861175575837024,13.88132180164348,14.966997920459473,16.754306951588582,18.138599462367743,22.279414078578505,23.528763340550633,26.727100680483435,30.43494180202109,29.516365920375392,34.09779422760566,32.88847081792536,34.44296690877704,29.169351120359135,25.263797704933243,23.29271582608452,20.005271431704188,16.60525313056138,19.10878330102142,17.091354966574023,21.21200176623792,21.712729140994572,21.204717141026435,25.16624573441162,25.381256385319,22.91967618954633,24.73825893566968,26.290577082818483,25.512314294231615,28.99727569702487,29.633327817124872,34.7631989556846,35.38625159919729,34.82924149394573,34.48841808519701,31.13446915474942,32.02318818106966,30.563786986786816,30.527311568083793,27.78076051977535,28.65485232642885,24.81446994901225,29.12816299376548,29.02015723156341,24.793677321252183,28.351969245544694,28.69118125008642,27.316300225849798,23.589730961942855,25.40724802334321,23.76312701675416,28.305634306773523,30.57719652489467,32.22740116378418,34.775679522584234,33.24551930537732,38.765493133037076,36.555808748474945,38.0932778384397,34.80934524241743,33.603435338020404,36.92910774198282,38.66871406144279,36.65725539358564,39.51160684443713,38.63109123516957,40.440810218880664,35.70232717615492,35.8638228466892,34.11223170545945,34.524880874393,35.577208630712576,34.019186120717336,34.87985790487854,35.50324812663135,31.714274883365743,34.56538361421743,33.16385070558137,32.884228344951914,36.58190971486631,36.15410591356335,31.99108928596931,32.933888003473314,36.65936218424203,33.40019836248999,29.377478038163854,34.220315280923984,37.250811544669006,31.621895583600192,32.336093665801066,36.062084779128334,34.143056144618726,30.705176170411047,34.33149831387958,32.9371643931081,38.81808675571966,36.498487958852024,37.26058800188495,41.05701872497002,44.87083623940971,49.29667729943178,49.7083163836233,49.76305050490086,48.34777675550636,50.29591905127508,47.377100245693015,50.51343668078911,49.579219968974805,43.436836467119946,45.413268790203645,48.04396364246742,43.92547385487337,41.35072240285216,43.48913999881135,43.349999072973525,39.46573448230893,37.103988817651654,36.24053998123407,38.36910044637375,41.985667420066996,42.63847494082658,44.70745283197508,48.114007697310434,45.07314819506199,41.272592035988794,44.384316012706165,44.96587511086192,39.978461861070336,39.62043673574132,42.51246720012153,40.79613988580855,37.889291106722595,42.61243884948316,43.44328735483277,39.46762231765067,40.583082697688575,44.44435778717602,42.8418453694798,45.12781573362782,43.43623445503198,46.57686708533796,45.69922774592806,39.960047493411885,42.409030665496594,43.94204828511016,40.95556638269714,38.351461136868544,43.742629459847755,42.696217800863415,37.233220592249545,38.35948980355625,43.05162656111328,41.12529057140996,37.02961782473778,32.8630529164302,35.839473393685196,31.920126124001055,34.55364061389194,29.44536985007482,30.26314973846546,27.187457115587055,25.079925345725812,25.64537352624704,27.365527957402676,27.2897747430155,30.26247887136567,26.36528317011223,28.88216209902128,24.92246794731071,26.924607309087126,31.212765747241612,34.27236152631018,33.41038273702414,28.8769010833061,30.955796376986864,33.361071761953234,28.897560327237777,27.055816055297342,31.89427755168737,33.73909133501281,33.11736144585145,34.10175165768691,34.885176475792335],[24.41329907812728,21.974731153652996,21.060877338484744,15.28832785348814,15.788861590666693,18.152514639767997,17.15684587021577,21.40621814092499,20.17261742942101,18.530317850944925,21.455890144990054,25.176034146963683,22.251204280634365,19.68640091592185,24.713191743205087,25.827166664549743,22.189755027598167,25.363817799701103,25.29924598808124,28.09123002940352,30.34448655092804,33.772473754892225,33.4824368256486,31.86712989415855,29.657076072302363,26.049022927616534,24.708502525882924,22.25131684249367,25.033092163306335,26.681062496497187,30.257079285362114,31.018847078357528,35.01712309260542,37.38609774860969,34.47623085436939,31.377291765856132,31.19529500323845,29.258349776446344,27.846564191941948,32.79633683535973,28.775207068450474,30.18831218932663,34.24675475787118,32.792960661621386,33.043897683031005,30.98958380230225,34.44202061146134,35.31633374479062,31.448613232066954,34.8375133356614,38.10517473543982,39.118138931090144,40.671424379798914,36.089076559276826,41.308567574035195,43.505675142100124,39.53007746237328,39.43236123980167,44.21656777949139,43.8388772823051,39.75212524214372,42.06844225189465,40.95491284139957,41.659384614246235,38.688638212434846,35.83931996368053,32.882498360769205,31.015957879339055,27.905342008327715,27.35043037247464,26.00031005873634,28.56719346158733,30.843385416090797,32.771881507439964,33.560479977418595,39.64219306170372,37.61584983374775,41.379624886172145,39.833149769354975,40.04849232701855,38.84740293838046,37.42603826755536,36.774442575104416,36.23574181298368,32.39838517285193,32.11476928553141,33.305065841842534,35.80024206772994,34.57837485159189,38.996870089057026,36.41652768030736,39.52664454603303,36.91943925081164,35.928269023386164,31.4767058080295,32.643781556534336,28.558045625636233,31.621216361100988,29.98397382309322,33.15524321746423,32.51626304706043,32.622285015396116,32.330789356146084,31.20439627508825,32.68877248568219,28.892057789850313,32.020116245729994,30.159970096706388,27.279685357217595,27.807970098980782,23.58182636680221,21.709763539460383,19.15205964272817,16.803991851054516,16.78883250373204,14.385924440798412,17.28660139898041,15.5874720822099,20.531429273460617,20.830569885728938,17.691480025507055,16.13174965244106,11.702833540316242,11.7552560036173,12.9138082318899,13.541405905833003,17.493115044634816,18.62510700339751,21.7208521403985,25.592372216910434,24.524150081583656,29.139116534153093,28.154499559045536,29.744396788357736,24.524107761360554,20.612401064962103,18.40413789567147,15.42537987007519,12.400285037045169,15.454251604384359,14.661947542384553,19.321146345884202,19.72533452405386,18.471596861552293,22.422462557554,22.47509520564138,19.682728991230743,21.25425904340419,22.32539224049365,21.631608360480282,24.79679740712258,25.907835892805384,30.87786173897461,31.943230149569196,31.642856276373067,31.009828789849674,27.716560060759303,28.10989387214843,27.005058305059606,26.32820047406928,23.630546950335564,25.182163055462947,21.250843587293897,25.76016466426373,25.427362378500728,21.350996141086775,24.473878379666452,25.14976359007607,23.324065828790122,19.585458468968085,21.1087848227495,19.60236725894013,24.25304268421905,26.544670563587104,28.37482076352389,30.819353719603043,29.687368717001597,35.08477381001147,32.912257814544425,34.14661620106847,30.85247664207215,29.209564698096887,32.51546990965935,34.31979769503489,32.64516156574221,35.78622432833066,35.28379150281279,37.17316480711231,32.807760152491014,32.56075949348811,30.548698434358855,30.55471847419445,31.473402759708723,29.675456049710288,30.340991577670554,30.835880371584636,26.864911572564672,29.58580860570791,28.12054895583419,27.767012767433055,31.491747545026183,31.081706905024866,26.914922654313266,27.930244538087447,31.697487327401678,28.524446808891817,24.588622101390577,29.491097442737075,32.56274840811342,27.13714348137845,27.981367315774204,31.7722791296539,29.99303770792619,26.766505599544153,30.47756802381105,28.909369350245292,34.74432351345532,32.40055519510287,32.83501998518008,36.64653673077829,40.32920046519161,44.92823077898025,45.12737649732946,44.966047287253836,43.43666395571609,45.29675938739379,42.311712583601384,45.453233411100825,44.61319431564227,38.42978012684047,40.349659504926564,43.08547070707885,39.02824759600853,36.37221586935697,38.55463807236907,38.59454438805385,34.70448407114755,32.243406277830125,31.247497942656963,33.2828248110785,36.88972275451335,37.53620989575877,39.610565482499744,43.06133396170786,40.05545567506738,36.202338102081,39.396348341753246,40.06123204228332,35.07538349357891,34.7214389583334,37.77496093787931,36.188226954921674,33.26105916788916,37.97421331887198,38.987144514765276,35.19931651268715,36.204525977199665,40.01011485523382,38.28476206783395,40.38902135655143,38.544222434152644,41.65151953887268,40.95670384731761,35.182390661508336,37.47323692469911,39.15236938426279,36.264390279636295,33.49599636705942,38.93355857858906,38.13429908455457,32.64781973077212,33.62383096198597,38.47396828598423,36.79624604507553,32.70676962865877,28.581830039942034,31.937569776024645,28.231008336423216,30.745888791602805,25.55569136419931,25.922923297791787,22.88859763643302,21.111543619609566,21.347656778532883,23.18162363223065,22.739929382674134,25.463755079603498,21.348074560654634,23.771339911251992,19.812858938737467,21.990962611599603,26.303173302354903,29.43660416421112,28.80831888195753,24.187105937701467,26.371809214892558,29.006510328335107,24.69072001626284,22.88569248989347,27.811887810239117,29.89067839819004,29.4126331783677,30.569979412028374,31.282829958546476],[28.303683337843463,25.552707860592115,24.005701177394716,18.690876964636658,18.051863358226097,21.615899344617613,20.333799168237046,24.458110738504548,23.746675877055406,21.636654979067952,24.64457507646148,28.29067829886445,24.56660370193212,22.385311201731703,27.089788404810474,27.778346051796312,23.578860994490846,26.2859244653349,25.44087675685294,27.89876437251206,29.72742549243722,32.693490044806715,32.20498899902844,30.135999207223797,28.087352640322653,24.998240034319288,23.848971505884116,22.140201367273754,25.57608252798641,27.782663419050703,31.760586842898327,32.62598493644186,36.803938642153035,38.70025264516617,35.47661972558283,32.014167308274445,31.869050769900287,29.043547969959356,27.115864158442104,31.467373952174842,27.10882838960354,29.057049462601643,32.81102047704067,30.821457911180662,30.67795114239253,28.258617552186028,31.48127095020932,32.75950142820154,28.91259737290244,31.95472552589731,35.603556587378655,36.7057044109719,38.58708360413934,34.2964507341031,39.87218400008636,41.72768657450138,37.791270268972625,38.31975894901968,42.991286771477405,42.16879090724837,38.490099164189836,41.32085441384248,40.69109966755402,41.148414183803006,37.80835267899237,35.31672743745373,32.7848864241217,31.473265067508425,28.48720844671334,28.72423095745966,27.301686519494133,29.98859149291273,32.20834060059559,33.44934307416704,34.47907456350036,40.25144648219068,37.84004757723299,41.85025387304868,39.97339405808054,39.68217996878728,38.67063871078387,36.73238580961814,36.53568876048455,35.44909314129268,31.414834785126388,31.76131595625866,32.88891805363341,36.01915675578378,34.74388006589792,39.70900093455442,37.32730402258098,40.6214678359909,38.42680553987279,37.76818327294157,33.54954492308194,35.1221257673849,31.258126118324387,34.03315499220703,32.606473232335816,36.005161175610574,34.55151370643213,34.628060571391245,33.62518146069949,32.4948828426464,33.07924042783998,29.624125993507718,32.57796362749054,30.317265509182796,27.92811104857524,28.917232016861817,25.1290960198575,22.89594046860575,21.19783201245443,18.088724660384205,18.472553259815452,15.319121479271425,17.807148584393488,15.099366260941315,20.21092696201576,21.530574279584282,18.75855938711161,17.91797375018895,13.186729122949696,13.83559912914508,15.641027887187667,14.84970942974781,19.526022319255723,19.518917878684846,22.25838360822564,25.63732897611923,24.050639967172017,28.515720230951516,26.8854439200612,29.02692550115008,23.400664041812846,20.017385571535907,17.51633020046243,14.444543300225638,11.304243473539286,14.251765810453904,12.233959273129686,16.689838160930645,18.17645217223678,17.356859332360738,21.306893957978915,22.352947117583877,19.819651886682518,22.24421221439957,23.540185002833326,23.766614029499774,27.00688588240863,28.8395579945762,33.64217510385091,35.3904451156482,34.89413700394508,33.71915286262675,30.180000644369333,30.15778109954647,28.661658496472295,27.448507842742227,23.822964043834848,25.183364098480535,20.395493650078496,24.68631037150958,23.50187542461524,18.694997209389683,21.929693706664366,21.867060222252928,20.40366946621507,16.87543225629004,19.035416154843574,18.001593629558137,22.940560688745933,25.75108617906124,28.032157423998576,30.993600905858948,30.301323422033573,35.419529060991586,32.604362916655035,33.796232785796825,29.816224114108504,28.9415160331402,31.498366552783658,32.8460789471685,31.014038896418203,33.83820325778661,33.47091374859088,34.75739516323992,30.320633556033115,29.87299457543955,27.85449411011994,28.32903828309177,29.047408933717616,27.497795289697137,28.378000031744474,29.013617746998523,25.549051932757582,28.733939054062542,27.79483031745175,28.061339728786855,31.958600215126253,32.14645125629768,28.04852658953788,28.849074732844592,32.96114640997666,30.36291218556741,26.18829293992058,31.053142773509755,34.65647240753579,29.628130359672404,30.271097141235565,34.201480159404724,32.94697625348802,29.715998385383404,33.10019859994787,31.08003067059665,36.980584179761955,33.696107438904775,34.21509588825062,38.216614200404216,41.38428689881245,46.13751741760735,46.01874648828521,45.96573319751609,44.134700095105366,45.85405350546617,42.8650591343274,45.55504762227406,44.707400408644524,38.626152617880294,40.25804046080951,42.581762090216074,38.584089695614864,35.896960467879516,37.63013281857048,37.48298584595916,33.87079193863957,31.084782748983745,30.93287950291047,33.07234297836249,36.78417962844209,38.04797799466335,40.27099552879997,44.09478603436037,41.172942175722426,37.18671887754596,40.81362363854366,41.78756798737424,36.845998463337025,36.52287259124356,40.00285118131697,38.72964186286858,35.72693204189556,40.28070774640524,41.68555440722939,38.20830838967082,38.81907492310151,42.46174560160468,40.39311470077281,42.195621024347325,40.08753784692431,42.83265552522798,42.39154049748022,36.63691168137468,38.37696661076221,39.969080407553456,37.262839213762255,34.067264233980055,39.127608131884415,38.45936403214705,33.02635168477694,33.428706223809975,38.14381870974045,36.63116714417342,32.59035684177326,28.87467191197323,31.827854386801942,28.47417119141408,31.6305991407084,26.797288169053036,27.34550636256121,25.058339645305942,22.8490621708412,22.42620560330663,23.503315787964848,22.77953519604759,25.887642549566824,22.17029615217304,24.211971484447933,20.86575031053983,23.932637491107112,28.177692026377574,31.532287943436398,31.29776384414543,26.691340659298863,29.07552067796386,32.073321436858635,27.958487874019866,26.294874320322766,31.189247170045757,33.56797013059073,33.25193788167092,34.53036992074431,35.1030274081011],[31.0191807661664,28.4999024842261,27.196094207258742,21.624273219451098,21.074295864877854,23.699325574248245,21.8868628550212,25.675444773777816,24.271373665283903,21.496161668024847,24.01968123006045,27.956994268564976,24.053889689466306,21.29463433633861,25.686686808393514,26.620688489396233,22.244063371625643,24.38312904259204,22.915581044313388,25.835412975783097,27.237370951048568,30.419642583188025,29.568230502827166,27.463986183600987,25.833212803606173,22.592133487655126,22.110240392058664,20.630733481692193,24.193125313045407,26.85746282790346,30.08394560281187,31.714239830603173,35.666918213305195,37.214237667768096,34.24020489915324,30.571861075614407,31.081446231918786,27.90030107467745,26.178243808849114,30.8068956899958,26.111030855335727,27.341362130828394,31.177950379014003,29.24302317626043,28.7607435778433,26.522022547119942,29.756609718058634,31.258213334838555,27.84356331316015,31.230386220650605,34.70330503215581,36.14683195953447,37.773130384978494,33.47328766389182,39.026740353298614,40.505589591752404,36.28455046071549,36.90473790676606,41.514131145926726,40.40823223395498,36.49387602290719,39.127515828389726,38.552635901267514,38.54433705667982,35.354091828334354,33.160228892025806,30.12919779169656,29.10064238445779,25.684696204623403,26.15760773097765,24.386055937237824,26.770228921044747,29.33308639395551,30.42648989933687,31.980814669082122,37.68995915050396,35.63973964215034,39.81571909993562,38.22644078585161,38.11035664145458,37.60975033953781,35.9729827684524,36.278744431452594,35.47453587801375,31.31269250860809,31.306137141770762,31.788136542591612,35.09064777174355,33.159597034021736,38.11479575226636,35.39152324377892,38.35685263307692,36.32547985755059,36.01210487051482,31.97879673238772,33.40669468075479,29.73622106630575,33.02725766841608,32.057513793940714,35.98081177311404,34.315626843609685,35.165005635933866,33.83989121053828,33.46659974015041,34.3017400139165,31.26670639127929,34.63366017848865,32.72412456738055,30.597770313302,31.133719310964974,27.400816007494942,24.57015644355781,22.496351639923194,19.11652493520572,18.347569679296857,14.967282936739629,16.573945359156145,13.400628694510713,17.584066388505686,19.380988078208574,16.488113419843042,16.31608478660196,11.932564703124838,13.692190464505744,16.388775217513295,16.491002787741923,21.742902567427038,21.79403890428914,24.83793836892316,27.82446601467061,26.930875889998674,31.29277652868256,29.367871341064777,31.07610546485111,25.589920833250233,22.021765222634322,20.461092657428622,16.61336309929257,12.896078906947519,14.851848787202773,11.674128705942517,15.525269501176224,16.73960354273606,16.656181396118562,20.59097784815273,21.684881140619957,19.53262820842424,22.251834697976637,24.184476608871314,24.469005150595986,28.22503876954598,29.701166093963863,34.68792834625006,36.295994491750704,35.29207843251475,34.17066951939977,30.435601406470482,30.91269950044082,28.85176714611472,28.42106884444711,24.72459787672204,25.16546355555461,20.65702327531569,24.70218246558562,24.137286110304103,19.59642407293348,23.472888536680127,23.50360591277666,22.73920434402215,19.01680763453141,21.168098281353384,19.524474804079613,24.047279379243125,26.626985235534047,28.53973628559999,31.585181051925773,30.3666137139296,35.628572485543614,32.807164101216834,34.416262464778235,30.615469285650722,30.269326686608665,33.0508367811365,34.466503108925345,32.1400016068945,34.61246674773842,33.646127457787685,35.089474809910804,30.222271563695905,30.435143469044487,28.858268355160725,29.72513799936244,30.87746230319158,29.69640311356786,30.93553876895739,31.990780715512944,28.73276403962365,32.03825282128755,31.39356167625913,31.336850720381,35.49024193314842,35.39017557563943,31.291268258292035,32.54270419028897,36.55357076337739,33.73109689006252,29.928487768250537,34.84885714406782,38.127108057296695,33.05501690871604,33.94332529327109,37.80500243898262,36.212780624757514,33.12710331068421,36.74315600063034,34.92734464668725,40.78313758315804,37.85569003086317,38.266883357470476,42.2031962966489,45.47644179211298,50.24036207383615,50.126849523547286,49.88418354051142,47.99682438662548,49.58593245507053,46.4059270718134,49.16649274647212,48.55063858263554,42.41132524923152,43.85511945016074,46.35813367363705,42.499693522723604,39.64672468514041,41.22891270606993,41.37456077101924,37.86954747098297,34.71518925507409,34.7024279087422,36.35650070417357,40.12621060190359,41.44326879550993,43.37578239068471,47.192199683928045,43.98171549913183,40.24132704717037,44.00721433080293,44.65440887918012,39.660243590995925,39.69762404096461,43.0258089747198,41.576814755661964,38.830455202048896,43.54980084675924,44.75252356911308,41.18700947414105,42.16861105294001,45.88452578254879,43.985197831767344,45.77288114463255,43.58823709432625,46.490396301380954,46.19164485692314,40.407908248316,42.15663794910066,43.95092312076808,41.2826368331072,38.047549500348914,43.18581345942973,42.67877398102806,37.23123452397044,37.55874304112077,42.3656683245404,40.95603223653018,36.91980381293163,33.18920316375167,36.211649811244314,32.82553484194438,35.89396267428405,30.975282258362544,31.41507002084835,28.834650190663204,26.860979243646355,26.595692645269466,27.83096726262771,27.03913451880322,29.96270708286602,25.923124721982592,27.685626812508552,23.98536609694126,27.086217643773058,30.939057564734714,34.38429615900371,33.60926456829169,29.229378510943384,31.967194761894955,34.58837047502826,30.026705565234238,28.88421845443014,33.89641070589215,35.87576161077422,35.29497233399732,36.305331500610706,36.76641323012435],[27.050086193401857,24.679904049648183,23.480217643173916,17.805740905136094,17.33763955620646,18.851974528259397,16.79489411803624,20.456011014292805,18.748458477256715,16.072622855531705,18.64797645102871,22.582014965914937,19.073074697077114,16.22446234254261,20.94106635691595,22.0483702916563,18.103189343008708,20.893946948472212,20.525677328214904,23.505757615508465,25.63398733788446,29.20429021128412,28.847893434304005,27.374202561002818,25.232033099650284,21.4544312406351,20.359066203965078,17.939727607596133,20.813478159773727,22.85444359819799,26.051263608898253,27.3377116652091,31.24762686092608,33.27422363753692,30.44901925589465,27.156471405695843,27.42956999688412,25.19596186767722,23.963760408207417,29.19341006704971,25.02802196833459,25.887271835941203,30.04360476993081,28.77544260261767,29.026255036538494,27.25484301173062,30.807765735212133,31.557946028977945,27.946202579419857,31.685514133261638,34.654797813581105,35.861293785862195,37.12304163619266,32.46620190929502,37.5860769513812,39.602167820734124,35.45670982660179,35.28483382883334,40.048123235161206,39.606993409982906,35.32483303274463,37.47719593716995,36.35173881849508,36.898872481688876,34.01807945325235,31.24087015483009,28.084575211492847,26.318553777966592,23.095927879225727,22.743387932239063,21.324024470556044,23.958826246610645,26.198102404613266,27.95471019481956,28.887255579970414,34.919735978452366,32.985836489215984,36.84807065724896,35.42305045081582,35.737945295432986,34.856123077752805,33.66940801244458,33.39856056044761,33.1181953062736,29.18816559844697,28.570540489519026,29.28604759697556,31.906428005635888,30.250413185098765,34.71878818551413,31.97632473556132,34.985659911360834,32.53948677663064,31.810263062475478,27.521191115893146,28.799092393210152,24.908709374618464,28.160383311184276,26.958267451074704,30.71423454182505,29.521337181963187,30.363710202400025,29.53969681942668,29.199095399730925,30.79725322671555,27.559529720710433,31.17712117380892,29.73205628381705,27.339967634152334,27.325852952553937,23.346464045841586,20.546390529104535,17.801392157767594,14.880984336644614,13.70110065320886,10.918976876130005,13.118322280444062,11.226470957390195,15.767568090171437,16.194579217563714,13.030693196275212,11.910844427867177,7.521933281969579,8.713543103378615,11.213575591403055,12.462278548740654,17.460541220581554,18.23883297332956,21.660580169093546,24.867649316069837,24.74111771292759,29.173146685096704,27.782413516859837,28.783076722694904,23.768109022502767,19.6316581890087,18.739145326411638,14.705735234778874,11.034874434430023,12.985827636320504,11.68837812583802,15.959645243335514,15.747202608127218,14.852095967873671,18.76939059389558,18.74433838546418,16.25731638080505,18.173390075979675,19.93945110557651,19.587612691986017,23.39230336038966,24.43226345691972,29.525114009696868,30.86476801480231,29.855146272119264,28.96133722138421,25.342901210510938,26.096430061613557,24.26981664434866,24.284951569782113,21.37391981123388,22.0010688137527,18.371429599801363,22.67307295726491,23.06004841478322,19.479175707640827,23.19638605426305,24.258498558339678,23.108697645960163,19.060069251133,20.40730198269302,18.114549445898994,22.250729951749978,24.247348267226116,25.689216559776593,28.23275939563086,26.630034554829628,32.14065767533338,29.934701097496283,31.56937896474583,28.488659529946073,27.391444539147184,30.95803506102963,32.88018694326799,30.703175017358003,33.53627859546679,32.452725080435705,34.64549719148613,29.939418848239697,30.3210588140058,28.73248452014915,29.007162384653462,30.469302824427636,29.061505841358994,30.158203707510047,31.24000008790516,27.537122710081945,30.440626925925606,29.540769018367037,28.718212375244384,32.92724290046082,32.17902199903466,28.069731824028665,29.877387233998103,33.5498175344588,30.25116472645593,27.06886775512332,32.020558231087584,34.64735677239586,29.533369969465735,30.860991533155453,34.55012572177284,32.46398978390234,29.766790185238555,33.78845371473271,32.33720998673937,37.970463120839455,36.01376182186772,35.98849356005049,39.700893248911754,43.288102384490045,48.06053191893174,48.0093457504839,47.356252160275204,45.5757198696788,47.09772158088793,43.74131274202268,46.906220854797226,46.54373249142048,40.27009325059361,41.75340581426293,44.795298252877224,41.046985970772404,38.0414906509689,39.91400015076953,40.56437201887453,36.91373303953847,33.6823524369413,32.992691942394025,34.136912512943255,37.842354830761884,38.699770016805616,40.3025362905328,43.838077938690816,40.39880753322827,36.91654712849052,40.495769669805696,40.72811891148103,35.69880651777126,35.99369047648188,38.99173283209497,37.29775837727561,34.82805620574409,39.72913634665611,40.62603768920223,36.96956673184893,38.428670832655065,42.22810182325219,40.630750426106474,42.4558647267235,40.29697409228357,43.542411235425355,43.31763319409113,37.52173793320201,39.532499283567816,41.657143025245475,38.98929248302544,35.92596780064776,41.41071299902187,41.14006066493196,35.66286025515302,36.22794196429661,41.31891236783689,40.07982041834961,36.03970582206173,32.07192676878198,35.738388534550374,32.29278681680888,34.70382767225534,29.481302666538287,29.30922888449325,26.10170988564654,24.952705160959233,24.94449564806371,26.863609554841872,25.8907681441652,28.156652260015576,23.466333443737767,25.150281241516055,20.80617913915869,23.436600670666603,26.9489794705431,30.325572910577467,29.043946969461036,24.832381824829234,27.775841038663977,29.97406105356692,25.099824574805798,24.39924639652434,29.48486393546097,31.076026818557168,30.288081848426074,31.11180050992938,31.50670843465773],[27.726687783945177,24.818696239268043,22.603398718637628,17.62855295230218,15.524890882935509,18.839433383523282,16.74118685512679,20.41837372956832,20.044221639992838,17.526937490137335,20.649913645781027,24.027627906768757,19.803107105952776,18.256236815181765,22.731956177949016,22.984695126069884,18.71227885516908,21.5903164118058,21.215404474278454,23.20036082929608,25.45689993446955,28.33433615222242,28.296712265701057,26.56423101237865,23.998089297914184,20.855714131469124,19.092086053985977,17.130859999652657,20.463048893264993,22.535287372302736,26.992147505718236,27.489458100982517,31.794748444517857,33.67140471881776,30.2649330022525,26.87022029053419,26.454615098640012,23.765541746840615,21.858714643950364,26.32671699064421,22.263508246451945,24.320122257045124,28.13417903876076,26.446533827477325,26.86683954621649,24.723388412224118,28.15853517193142,28.8201939374195,24.753638504937225,27.9888197331342,31.309744709880853,32.229564969783404,33.92650253754058,29.444064985424028,34.83588429252505,37.004387031723866,33.18987048178135,33.360988780275015,38.10092048177074,37.66589730406354,33.94751196914776,36.72659553323869,35.9469547758987,36.8612604220967,33.50233014769163,30.667889958896648,28.566590579882966,27.00059261313738,24.560279136827738,24.77795969966126,23.82353269408598,26.97004344310152,28.557096665098484,29.723243366811538,30.16972415633875,35.880080535696436,33.12998817045367,36.99338406583031,34.92712519704573,34.58896151825358,33.32328094013147,31.392093485041382,31.01684110778112,30.02952671142042,26.052640986274266,26.284597530762248,27.60544132331869,30.605710154065893,29.629922244220086,34.603314427789435,32.49265250227969,36.0651094683787,33.89397874818619,33.127109966620324,28.96369246732883,30.884940053539076,27.131001542956266,29.338511305075606,27.914500621721363,31.366088456181952,29.425478715754945,29.51436086734194,28.208478651925343,27.228233540452354,27.758537084253806,24.560413140745165,27.78821816311245,25.821463356051215,23.777569544037416,24.38813765117038,20.843536065494874,17.9817856899456,16.491435314320867,12.93437052573173,13.42106639338543,10.112663561888738,12.806554259699706,10.519656299702358,16.28437856809086,17.1369882828464,14.772360078806672,13.738261184753705,9.03477404778106,9.361123822963012,11.481783154160818,10.098006673506598,15.569665184358344,15.039747311240932,18.003343075342652,20.92886311719622,20.155824281105655,24.514482696998954,22.752105445945677,24.312323078212735,18.903946757253795,15.191240110842989,13.811616934660476,9.79486262202043,6.150054831194827,8.877130211433618,8.009392509540595,12.847463340459331,13.607481049649287,12.193786156045181,16.11869949853648,16.931258057187097,14.314909199156284,16.810298949713765,18.1964730707845,18.856021330851735,22.280898382178986,24.468904146554944,29.160506927245123,31.47458352714659,30.635072557955045,29.022549408706553,25.326707180305657,25.142202596408136,23.39150617747077,22.146835750225286,18.363690330286136,19.62018429349448,14.94831682002287,19.32832975100359,18.607158155849415,14.430672475944386,17.847421344523546,18.682815491487126,17.371106061355164,13.37773012787197,14.970574408320385,13.17348129036779,17.83676503875644,20.41042081429569,22.53014197996287,25.472308853003614,24.753278332968396,29.855359393207035,27.07799852341375,28.33510214524438,24.5565056609302,23.685320754473235,26.541730258039948,28.124614371964814,26.13607896640797,29.042048829054913,28.50377937167181,30.243359490552727,25.839996311362203,25.586869226172407,23.671350188004773,23.92288592050914,25.077357511856434,23.63307805972071,24.743658566211696,25.841211704189558,22.382918593044288,25.576294801625988,25.08469162900082,24.736228493914982,29.115169551060514,28.925317602772434,24.889548147257532,26.54975669174158,30.53945056752357,27.855217334827476,24.55453683018821,29.465391802649375,32.58285912472114,28.02681815871113,29.246959839858263,33.06892602089174,31.59279091496763,29.061071947087967,32.79722570799943,30.843868697551223,36.44136370690203,33.69188852694714,33.47947038433462,37.33221679427835,40.3576821969178,45.36246309824706,44.885213531524286,44.167985452113605,42.056155270934354,43.396465117345976,39.998045972962736,42.778900403213974,42.472537405979864,36.27152729553054,37.46949798865823,40.245287043658024,36.60611046480999,33.50968666220638,35.042863721660545,35.70285060095726,32.28197712028734,28.683634473067713,28.59182898208573,29.739830976571284,33.52774700618428,34.9131575345963,36.67277118450646,40.568397699759416,37.26843394434848,33.60030485998618,37.605745927358434,38.21635850292743,33.24829389753893,33.528572759429764,37.03501033941305,35.75089953343806,33.176096520244535,37.87867248795195,39.27580541348894,36.06405066106374,37.03576828108643,40.62064580258467,38.62783809739044,40.04831824653806,37.56025957960627,40.44262261516211,40.566230112500655,34.79308749564046,36.194839307649126,38.34602639842395,35.92383279285878,32.386227710724455,37.563210157525134,37.60507571353956,32.19249993338679,32.1480081317835,37.23174462787485,36.34452933911559,32.388349677762776,28.83600191755145,32.45723166466194,29.517912765154882,32.30116630899963,27.38115538217124,26.988467798719395,24.502922786914286,23.289590128378197,22.470723261728452,23.838180036929938,22.306368409452983,24.613053725447912,20.109713331828946,21.31868994421819,17.564376194887636,21.16672853005934,24.63419424907115,28.243118583037404,27.608442238421652,23.333049309185757,26.460347112075144,29.199841525018037,24.769358154783955,24.128941881445574,29.15431433236741,31.242812030082764,30.765616317707977,31.883616261903683,32.1332733459189],[32.260947803735185,29.373988397421133,27.243717551871562,22.238434957912393,20.283063421759284,23.78193102873852,21.622870446145633,25.155912818192178,24.56125964984873,21.604275545285766,24.38871563257307,27.938977932963425,23.353354858040703,21.514909960131853,25.578975137878096,25.831805548732486,21.15817920176458,23.187647529381177,21.627907864962776,23.735527234132707,25.186093444772418,27.797234004115072,27.211657269344954,24.946105662003166,22.957302122583506,20.245609063791044,19.31435216564852,18.317197519827193,22.246550203647224,25.059769779527713,29.11562701147447,30.281007880890982,34.482383235451564,35.77972173684629,32.38321527395913,28.591830856376998,28.717989325624387,25.05945725590377,22.855914043195252,26.880802857481413,22.218696111495277,24.240103749718983,27.78654622966018,25.552991815843654,25.209519870892194,22.751234123940456,25.922688131416265,27.298040830579726,23.614054498864128,26.70618410859621,30.34941608161075,31.64774413035771,33.51146636789578,29.363738474152772,35.0881817476938,36.611798311896806,32.61761174054831,33.51206100242308,38.074810992646185,36.95053508443907,33.46139443602956,36.56850121268229,36.27955551633257,36.54582827368316,32.98729402148395,30.77150414603471,28.599471387191954,27.770498743866266,25.024431507813947,26.016798981638104,24.660227818860527,27.525573782371765,29.455580437440155,30.002724764153257,31.14455704796987,36.541572198674416,33.834006342789344,38.01907786530137,35.941427170086754,35.31248890000828,34.622202768700674,32.46476974445223,32.85600000982313,31.567126630869893,27.361317464005143,27.940308539749022,28.707655743952856,32.35977325763446,30.8341641068098,36.19441415350152,33.95780660647901,37.34885193561063,35.6041060154469,35.33770998327967,31.48189889889593,33.46074943896385,29.980339838758624,32.47096563031739,31.481917037626342,35.33799264150164,32.909253122999075,33.43699116862072,31.548282002570854,30.991803317989298,31.010370834018854,28.30156282493521,31.492914511691914,29.369111593340982,27.759166340248704,28.55654972392824,25.33014674709657,22.189315082711637,21.02276302261568,17.12537956663034,17.104681462307184,13.361194152722529,14.888971171680474,11.336465727212802,16.230727629410215,18.408537187571334,16.212033818618103,16.242113960251913,11.811485645384188,13.309560804609559,16.072796291064858,14.705233533601648,20.35660651066493,19.35332445649819,22.046119760678497,24.444391754111088,23.42959546079161,27.540706045431993,25.1536704186265,27.059215213422707,21.461213171488893,18.32410066926151,16.973651007999084,12.985152673784192,9.425676492155263,11.040326907945404,7.419974845317891,11.377217161080736,13.383492170430081,13.197586532179972,16.997782133104206,18.81928472560716,16.812437083962262,20.06645422419899,21.943901802892114,23.09715731264922,26.725420008959517,28.99504407156774,33.666837880488934,36.10034603150763,34.98246094812773,33.22785282112468,29.36287160519833,29.25768381386443,27.015867434064337,25.901751825994943,21.526336272949457,22.020406912190207,16.89015385791605,20.742213258271995,19.51072473837953,14.663016977993294,18.551388676970078,18.425514115817045,17.95008401517344,14.279782528501801,16.622226033394256,15.171681317948275,19.737522761217047,22.630953904500153,24.898184672539365,28.267057282618993,27.584751704489452,32.481381767207296,29.20508168557202,30.656228510484244,26.408935265100872,26.538309697452696,28.768491695361664,29.91067253953595,27.545769326110875,29.878519038300137,29.121192436708764,30.26551339036572,25.49704104738071,25.445270466236444,23.809448563915986,24.839363141154344,25.955395919606445,24.963625547550173,26.403105489752697,27.71457402618244,24.865460647374388,28.428287826913223,28.354805396219287,28.49583255325746,32.893656172868695,33.09336632968662,29.142415089976566,30.559929138921706,34.71699112134838,32.34107478286189,28.790971113320868,33.63849397603746,37.07455764545985,32.58333184465755,33.57815849103544,37.46991808068605,36.21775454589707,33.486030101527284,37.00800252655624,34.87747651307638,40.587875638713896,37.2564736463076,37.31938040114219,41.29176363433087,44.076135481235994,49.07847493520898,48.51984703972986,48.01412258054617,45.779469737325705,47.07502699380787,43.73778888464463,46.183560262391225,45.81573973448474,39.74490905044432,40.771116469707984,43.16760855927866,39.556333068110796,36.51838036473849,37.68061925638414,38.08582049396126,34.906865963551084,31.180422787038808,31.777562881196403,33.0567924970409,36.87826753442123,38.68082964953892,40.52704966699812,44.622062591887115,41.37900074706011,37.681252616534145,41.8879339683557,42.64971697693573,37.73634776329019,38.01199108769481,41.67337471126925,40.50517066346963,37.87892626107024,42.485297813071185,44.01477615589557,40.85940438242311,41.64817952921192,45.178586561285,43.04157402195983,44.395087520158825,41.84839527713936,44.5052815523132,44.66932059708608,38.937796517426506,40.09295147131855,42.0764705135563,39.709309400954695,36.02201858181947,40.8937416641762,40.85766290138601,35.512993734514765,35.19806858836427,40.05907850933381,39.1267805658338,35.21081800734387,31.897225752765344,35.00936977807073,32.155850865617325,35.41543191825606,30.73377221468376,30.76541656262557,28.658720628270174,26.925358683654252,25.9795709943718,26.84078782345125,25.425880446071297,28.148565556113546,24.1141344236434,25.20747839113367,21.91789327548753,25.79463972613048,29.251951164588956,32.90567781133948,32.37523762076361,28.16558679470502,31.274739983994685,34.10571727170722,29.708788016951257,29.015883413956686,34.00729443640501,36.15421784295111,35.69034083216204,36.791605574864334,37.01520974173719],[33.8214731559645,31.177042583740054,29.314486754212215,24.07106696695958,22.30139446724274,24.70171054518312,22.05674160554027,25.176368811907885,23.89768836074326,20.34404370353664,22.605316041256692,26.364307753356652,21.681434936490724,19.330411150216264,23.02169289859975,23.50947185607809,18.73849737895461,20.24443612913581,18.21038165037787,20.834785651513826,22.007408175808425,24.98255116878169,24.142102082158907,22.012959927259914,20.316808903672534,17.22792732161463,16.902634162322443,15.947330671137058,19.874760583230774,23.057588810290778,26.31576191074321,28.19885423636162,32.145472175516545,33.16903878216378,30.06248360091567,26.135750187726213,26.91369203326846,23.098918639582582,21.264647447409278,25.77619333000891,20.900470318414825,21.96656377857872,25.721348506369633,23.75481560666101,23.266333802187095,21.179018429422513,24.482375018604877,25.84596843697325,22.599233992539006,26.20760404311245,29.467176733039842,31.05105840239467,32.52709453082828,28.256678939994067,33.8198312296383,35.09092209042396,30.801351885315334,31.555224230795446,36.105212045758535,34.87390549460771,30.995292704533576,33.761135809160535,33.38363743362041,33.31611943072388,29.976248485052455,27.907558934204047,25.16664315176222,24.469816826091503,21.3338065119273,22.458144683154465,20.848789667923718,23.520743577539587,25.664195795685846,26.158350390899585,27.68337941798102,33.093447148081005,30.75780863872973,35.052738210832196,33.30648319199775,32.9718178646381,32.73041834701009,31.02830062363604,31.811794273298123,30.984023133891313,26.7287818585486,26.73314923887822,26.843479093820815,30.503151594473767,28.33921825850024,33.58176559793174,30.9924947028066,34.07330750767827,32.4176417864684,32.424547733502635,28.732275165316867,30.56618524095382,27.281016493777752,30.22077659067573,29.664801586461632,33.99031029645866,31.43336684321672,32.74546372445336,30.646543334043447,30.88542622856536,31.361934664740907,29.048108210611606,32.68359224233048,31.055742905103585,29.618706929874794,29.82642309693026,26.61520513250582,22.96561411415408,21.294096261060623,17.32395392222392,16.013246308269686,12.228584809721198,12.744286074259195,8.856516238114184,12.751911939633562,15.257592875897567,12.966805700380775,13.663754110729363,9.82081336641649,12.390166122185224,15.90027468360575,15.64170854336932,21.597895967194823,20.87883946272158,23.9157465038789,25.992099270055256,25.863937377108318,29.860557364770045,27.407841294426206,28.646371340637057,23.423366601290102,19.98885520016857,19.71949190638728,15.129514893937285,11.240337665056837,11.660917770762133,7.44868015730439,10.480332436461245,11.557323330186605,12.101491296717306,15.820039254396113,17.3768078121174,15.769592957848822,19.124872831305556,21.618753838403958,22.690218265418682,26.787963269543443,28.59677601201262,33.41647343972434,35.65428530506282,34.04066538335346,32.380075471627244,28.37280137652752,28.823913041127135,26.06929151017666,25.883761003718455,21.7039803123934,21.23083360373913,16.75291252046011,20.3309491472826,20.14067098533364,16.078022181431997,20.463712332565745,20.794022417492105,20.87413884983912,17.04526138665715,19.009743941319616,16.77920328930966,20.641336636857478,23.045598179505948,24.743191318402943,28.027354923938276,26.68780164967656,31.76796449802112,28.672926774324754,30.56887906669684,26.76961964352363,27.225458819247663,29.8977097379306,31.254164379445033,28.451545530304124,30.497828924293525,29.053690199397714,30.6109624868228,25.442441021535753,26.217480874763876,25.0874366241638,26.318283639032803,27.964731980941984,27.27211657795106,28.976954836783502,30.654817057225266,27.8654418451014,31.362241846313996,31.434337377970095,31.06832219885481,35.6653744149858,35.42141840440129,31.482893427526008,33.41614818748109,37.375561350513635,34.6701470363569,31.582892950134667,36.483736747700085,39.46405772517873,34.910511933937,36.21096489252999,40.000293396868514,38.32897111402656,35.803141160320386,39.61863741911075,37.758089821484475,43.391952395067555,40.620009835976134,40.50346471061672,44.36458066935564,47.347118832912564,52.352827788794535,51.833622370519784,51.0617134636423,48.82572865557516,49.997113954105146,46.45177981479093,49.080860966493205,48.98357999165427,42.83290562802416,43.72026298941292,46.43110509203513,42.96984142176629,39.76357165768969,40.894423845718634,41.68880149836688,38.545330001614516,34.53801897251715,35.01690555373667,35.74069879701576,39.572304160845285,41.264976823233624,42.75222981172282,46.739942146827126,43.17950493547433,39.79650480138991,44.04719265669656,44.39330163278991,39.442828553546136,40.10387845204195,43.52157848034702,42.1306981885209,39.81002795579673,44.599074293291636,45.85898663731455,42.603438185019165,43.840036991620636,47.45483938108262,45.5549872068104,46.91900030762532,44.328518856050025,47.21974075627038,47.510405837576116,41.75493737226539,43.01375630653238,45.24960370762837,42.9001725316598,39.255718435981436,44.29633628895527,44.43312933351472,39.06233687325859,38.79616903829166,43.80486525918689,42.97144446743831,39.046403326813945,35.61458052223454,38.95475013166601,35.99712186874879,39.018739348416744,34.14934712563472,33.9756568338837,31.4424815383974,30.061642299763154,29.359950466381775,30.55844137376524,29.10709109631231,31.536007721597567,27.08331227878429,27.975081265152575,24.219763572226995,27.929533446442676,30.949769079703305,34.635873418762515,33.48536616210767,29.555999410838066,32.99483895528034,35.36927043021457,30.52803298054991,30.397506255198632,35.4783623234169,37.17550725608772,36.425350563965566,37.228739680030024,37.331717214727625],[33.81581097427613,31.256480156865052,29.384728572644025,24.203615177754642,22.257177723408994,24.066573804068465,21.092780729122957,23.850425009140725,22.385110830157842,18.548663512378152,20.574103877535904,24.290780024609827,19.49902096354113,17.147404581395403,20.575021960705502,21.03791501364673,16.26322829846452,17.629519884200096,15.659743543856896,18.377020859060647,19.70163424320275,22.870503267535724,22.174266879128936,20.326805504340943,18.470135078489403,15.0750130316048,14.710713538474977,13.55290313279068,17.38778273252238,20.637633019684237,23.693844933875603,25.727205951212326,29.594221803070067,30.55960320028624,27.534348750401172,23.612036451657165,24.557959378275974,20.82735845317592,19.23580669600355,24.05881009130997,19.271593370356378,19.911149362366505,23.81699923333144,22.185368400903954,21.935820385693827,20.17881338254972,23.643158372158023,24.676513776959876,21.536983981193636,25.45115014519413,28.33494048280648,29.940374782736484,31.131961193034964,26.722071155069745,32.075271862639994,33.43582179795015,29.07973761220991,29.550264150527177,34.14890966081624,33.0885853587627,28.988775116500562,31.528137514370254,30.987779509116244,31.01045002903556,27.791542634190208,25.579064005026336,22.71677218861091,21.87938932724537,18.769188573694933,19.854122915675706,18.347895443485914,21.141676211696527,23.113393642511955,23.645471285873406,25.049641454669864,30.513610291043342,28.22365207758125,32.484211925215,30.83316918522729,30.65955059233981,30.46707108067585,29.017190017895327,29.819703774206975,29.267291037449,25.06380196163319,24.72196828535147,24.647856909355276,28.182224314086746,25.876849323575755,31.018808416356517,28.36230226027546,31.41855350601794,29.74949462801294,29.780776784204384,26.142568094842645,28.008820044091046,24.824396447799945,27.757587661959057,27.36053397438766,31.84213204141592,29.160982253316845,30.782023517996553,28.579478916415454,29.185618568751757,29.911123733717815,27.821307294313986,31.681623436238116,30.377595919996164,29.072720216339984,28.91674820642633,25.79437613870874,21.863842390372255,20.028489483888055,16.062012477375237,14.156453457960756,10.464655093846162,10.42077306988034,6.592791187759401,10.29982643018534,12.670822247785265,10.460454319384757,11.386594345863212,8.057050780390176,10.98228887907076,14.759800271262353,14.934741748074329,20.93880202056243,20.28680361817639,23.461288465688334,25.287754039660367,25.762265620154114,29.64088646542038,27.237382855080945,27.99305072223498,23.103680015169548,19.500225880731403,19.9711389161769,15.095862243997008,11.218756026210674,10.93177397322835,7.229913265230916,9.79096563768005,9.833215585099953,10.468672606876746,14.077033266734627,15.290395673737557,13.861111164933227,17.18085138263493,19.93219604979024,21.02284230167235,25.299562767428764,26.95028761431971,31.750254401796937,34.01925798397656,32.13284802986823,30.431413754817587,26.37307557453563,27.02843067670071,24.03863144572686,24.28266181584765,20.279077899634967,19.36061250692446,15.38546924208912,18.823681499508037,19.350584726000676,15.97644148633502,20.48174091353575,21.33767564928563,21.56537357806722,17.636145502087444,19.17629386580589,16.449837410389677,19.808568922240323,21.834171103726735,23.167030870351823,26.324197384440005,24.668539950817774,29.818790300152543,26.894736353565857,28.9804084440944,25.53300999368887,26.036884730236203,29.0182542653251,30.561970826932836,27.64559830162877,29.61363602761252,27.858384537310414,29.77776097242965,24.56233225252979,25.69074761467687,24.748906727035386,25.864545336917455,27.89006870179263,27.31497637817166,29.116263760572952,31.0059796809494,28.208972942982996,31.58780346905816,31.763095023477934,31.010244567067495,35.731073205561444,35.18062634504715,31.302617674854183,33.62885846312593,37.41753873183577,34.555451266975346,31.901997876252654,36.78506965325931,39.41488788044317,34.97405762294622,36.52662883569634,40.21287117285143,38.31737779561013,36.06207866336319,40.06208508552127,38.35440452584699,43.84216516007129,41.48858565412569,41.119932041701134,44.86646147798522,47.90937699501995,52.94816038069439,52.383358940539196,51.33779385186062,49.06901051557639,50.109423259785345,46.401809563963866,49.15322693073888,49.295440503933996,43.10114283894724,43.85636958574672,46.826071075221996,43.51104241923574,40.16735622391942,41.28507934896192,42.437844592629894,39.34169787314031,35.10757607255902,35.45735108229361,35.7212937869677,39.529282254937215,41.135997255164206,42.34890302898477,46.25216194983805,42.49205295627497,39.348267101511375,43.641665043021156,43.71216689966211,38.776615499978924,39.727621409841,43.002976518377984,41.515144158375236,39.442902446765906,44.310584503320726,45.435254387906916,42.21335143974974,43.72403487725109,47.3430155511721,45.584516542606224,46.86836257223097,44.20217902735234,47.22696301376536,47.68490994292567,41.94962890283946,43.19865052773612,45.66090323185113,43.386343850088146,39.733547791050945,44.86925127580843,45.22782360986214,39.876622508780095,39.579496510907035,44.71999625280139,44.066040484214206,40.164537815594215,36.708007109185516,40.317590129937905,37.40023123344448,40.18189412377081,35.22025357436522,34.734803891817265,31.981324806986056,31.00333776257813,30.341602559980693,31.770337641304263,30.152931427887314,32.24229592240908,27.479349931418763,28.123090393450074,24.126804716906545,27.76943494222805,30.382866214784066,34.079155224232196,32.573729206862225,28.904677482713932,32.59080451200269,34.671696543060406,29.645908301022104,29.977415060499993,35.06389213075418,36.488262801650315,35.57981734746792,36.22662410478014,36.19831188466221],[34.89208981383396,32.485380594542576,30.829432003638058,25.56458721947859,23.889553886696827,25.21376867358701,22.18284360823254,24.753900604993444,22.92552937987808,18.94349858634978,20.603092367664736,24.401634750927588,19.75381808796733,17.065802137352986,20.21247225274332,20.879401860488194,16.220965306990916,17.178977839190694,14.874965869987435,17.94117642445001,19.000183126571578,22.367846317136163,21.465847690388053,19.688910537918147,18.117716157099892,14.584681249373794,14.733951905834907,13.720560214699736,17.38110466669786,20.76579115999088,23.201722621551763,25.676085891581995,29.327584370185676,30.13175711947237,27.339239838705602,23.398016284023,24.739392078495737,20.99430665428727,19.66469300793484,24.610361748430964,19.783050454780728,19.849438797340852,23.796659381856927,22.313644638897568,21.929079610044802,20.40395853790965,23.84457254227952,24.8977473819716,22.06474209403979,26.089596875133005,28.824213105922336,30.60037494797764,31.59874261241931,27.19009156866213,32.40519690247032,33.608032193194894,29.11760166864151,29.534294360641127,34.06664092197723,32.91266313356217,28.637217000591747,30.94977136852468,30.37337224079258,30.149087922888917,27.096113257351785,25.036788298848116,21.804160278247334,21.078803779602225,17.67391047413621,18.817737288027757,17.095630169032386,19.67456510451423,21.85069361705665,22.3727939717714,24.074522695378747,29.511799902281247,27.520347952015854,31.819715410098052,30.40728197358496,30.420228131234207,30.5121108349623,29.33172327603034,30.34975693087665,30.02821181048989,25.86312786410124,25.24711405254784,24.789239051344406,28.285650700000147,25.601843736363953,30.60474559855779,27.72994468399932,30.529567075626293,28.92093088348153,29.120362305983882,25.60964360419304,27.309305172575854,24.26320865303362,27.50341763054908,27.353882992771403,32.02444610501782,29.380975142160814,31.388606444414908,29.1611534341386,30.12863935609692,31.07418677872023,29.16168227713228,33.1391033755855,32.030314927339205,30.76430928271516,30.40136043388823,27.287506375962398,23.2948816594188,21.236317600051265,17.449877152790965,15.014203336474235,11.647164442869794,11.000336948597242,7.526791018230558,9.6844018981108,12.245803878361976,10.019607845609823,11.389546890894703,8.830687062647588,12.033645814559451,15.861790166022972,16.595035750537754,22.446174920208957,22.000185367409607,25.236536958352094,26.97288388385935,27.697669808279265,31.507022544633358,29.12207132954761,29.6693809061883,24.974562838018084,21.36282707537998,22.065666515322214,17.19017301175051,13.405400406327793,12.882503748194157,9.309646885086673,11.016002372371782,10.61625242105241,11.716994530874508,14.965857534917154,15.993075657312238,14.879485463287093,18.042387532325,20.973675182293924,21.916634842029435,26.302678635983806,27.64385317309018,32.47557437637624,34.54536014191875,32.46822956526469,30.897268373902186,26.847147085737657,27.802212605070164,24.650803962866544,25.357076268160352,21.58369310394892,20.249425167234058,16.758607998751295,19.897764369643962,20.832988856255245,17.802109109586137,22.344570304304188,23.247759266568096,23.647584314912837,19.77374498562047,21.22437124338952,18.38789816054438,21.41356840167046,23.19995050845848,24.25326285493186,27.29638677884585,25.346903608581012,30.498572246957693,27.722934117202136,29.981176388323863,26.78515068047708,27.415045571993677,30.508912585769654,32.09549838643951,29.05546142999368,30.866478046504568,28.850962011545263,30.865721671856072,25.550399842445632,27.00542952278245,26.24626136244173,27.46761849939917,29.642017168799153,29.193871841116827,31.05479984655441,33.02009133060451,30.272330395986003,33.5908510672475,33.76502143121127,32.88364498626866,37.60153183033031,36.910146105504765,33.05181568748254,35.47975960753143,39.178744920015994,36.19965686737696,33.65606629484996,38.531402043110596,41.007923864139,36.50696069277571,38.11803244258226,41.7540757370542,39.705794969453905,37.47378456034056,41.545368457918684,39.95684624315388,45.42679481504218,43.26068887741971,42.89953307781929,46.59960672699574,49.7333485199675,54.73880260116761,54.2297617705523,53.14389937232468,50.919055503112354,51.949754001917626,48.2029723200268,51.019047698870445,51.215535241324574,45.01911577886594,45.765453584107085,48.81209799889445,45.52777549108595,42.167501595443746,43.291475817460324,44.5164282058454,41.418210653903245,37.17818742707302,37.46601385582002,37.61914522111407,41.398348822693585,42.93544475416412,44.04421451438354,47.877366256628,44.0324046335443,41.007139163527214,45.252272523500565,45.17481259374656,40.25417098082745,41.29806141377696,44.44307336522373,42.860501929925334,40.885735231245455,45.7967193741203,46.79441902275931,43.506727507476334,45.17343162623123,48.82363054307486,47.169906503433346,48.49991528278527,45.86889008981038,48.970525991134835,49.41660135326182,43.692254932666245,45.02200666462964,47.52299743705013,45.22872195523417,41.646299882615224,46.82719168407528,47.17239800741321,41.822921916078876,41.60009128289945,46.74322573626546,46.06497946671764,42.15699511085154,38.64229832159168,42.26607579274516,39.26535713588342,41.990919321798756,36.97435004430955,36.5049187902203,33.610064940631005,32.67994227422719,32.16248934199878,33.690177748987985,32.14581326921396,34.199955509329904,29.37925746524344,30.039465078970032,25.939656562096157,29.4078356066694,31.90364968934132,35.549924974932715,33.82906458296349,30.276960718445107,33.98881815991896,35.87835234138017,30.72484515873298,31.196807002427143,36.26528484686,37.502324369948084,36.469227260662564,36.9729163053611,36.9345627486181],[35.32305839883932,33.12841001022223,31.790945510198593,26.397455537027483,25.16760635328728,25.908079927068645,22.909135573220517,25.366675374935163,23.066800825014916,19.051387840280782,20.348113834188666,24.296321784891948,20.029199763628956,16.827120734761788,19.885427966210504,20.937507487398793,16.580349711312888,17.374235282387716,15.08566582117027,18.579637646437043,19.46288932372447,23.082806418404147,21.984222484808694,20.37843915918581,19.151663429295382,15.50322806126722,16.062636028947292,14.918997113486725,18.13148008432153,21.397564579079496,23.12500245054758,25.97841873784255,29.37413506541786,30.188071657318343,27.722390282457194,23.89793360292592,25.55061731008748,22.10102410061089,21.1305013872353,26.233277089500742,21.520093249724667,21.030555465139404,24.981745162341955,23.733098354632233,23.243917857838,21.944490590908238,25.307168290932378,26.4028552592341,23.89781658497933,28.026348583840164,30.538967050831435,32.38192822569794,33.1939221040519,28.793067348108938,33.786734713852965,34.895983181760904,30.324537861391626,30.599456546614764,35.06872744539803,33.90543467789485,29.445848911130902,31.41908786166071,30.70635592629444,30.281099263615612,27.500418729991456,25.55415265911601,21.835937874018562,21.07912399281413,17.31059126257063,18.18083882141634,16.189513729309684,18.408051192673256,20.940685358180566,21.707927000527913,23.704255233882453,29.20812259225853,27.647785828911843,31.89947877450951,30.820028189474066,31.13061727268931,31.418622194931686,30.59045604033634,31.652995322935308,31.6297240327458,27.567539705051065,26.61043586374951,25.890968863708306,29.15077146309824,26.184941739203474,30.86228946383369,27.71986018826637,30.184910377425428,28.49818046094945,28.76160850246726,25.28177092911032,26.66184589125298,23.641320480337786,27.33700958137729,27.341418639092065,32.12047318267217,29.781852090949517,32.10927812201179,30.08202125340331,31.30497523565611,32.63412803320315,30.73619143390632,34.81618594686091,33.88877939293763,32.509277992573374,31.94192123247303,28.710446115008867,24.789607766133706,22.35173086819536,18.875349896308077,15.95030298217816,13.02387852640874,12.222243947920255,9.470354405240434,10.456889068779029,12.577511563299414,10.071167307541655,11.48130317719515,9.629851362535845,12.92822756403436,16.68070624460275,18.147687401562443,23.732984167219673,23.69276229865828,27.04243295338117,28.880165613679424,29.791605673153352,33.62030987864483,31.383996123221504,31.74921182532226,27.211441252907303,23.488733167695862,24.26848881513395,19.44714609451981,15.70926587509369,15.24488774044589,12.013328937180445,13.463495096533107,12.753644610462672,13.894974317214645,16.904116541202544,17.49971477437013,16.481189277253996,19.251660748624115,22.236685628185917,22.787103073651025,27.23905620745386,28.13215056827477,33.05007789464556,34.74237203619836,32.56740267119712,31.278627622542007,27.306880558343725,28.630691630037745,25.47633185395475,26.672963997170402,23.295446578163205,21.793362580152017,18.82029691014808,21.842744796622373,23.13658699996852,20.335471157917656,24.83330895511268,25.791492679504344,26.179954644989376,22.323452298056853,23.681629169394014,20.77454607202231,23.635026401526446,25.195727154536844,25.985610995235373,28.81315092539709,26.5500639306873,31.76718735946099,29.269604427880672,31.630983493379865,28.753692202549054,29.272152667870817,32.57421037756257,34.26676164472455,31.190965548964126,32.97773625351905,30.80271266687601,32.96604066354982,27.614491552725376,29.271884603585722,28.6018152387871,29.804091441187854,32.05304215382462,31.60331103143081,33.44214330133857,35.39211212777852,32.547017488533484,35.7678261061622,35.80354868008852,34.765965668841964,39.42624778563863,38.54697894152055,34.6755960230904,37.15747366112558,40.74184203320056,37.57064715113186,35.09502703070339,39.966880307740986,42.25822631136251,37.610103831888274,39.26643536982642,42.83691779640178,40.58443859395108,38.338699796219366,42.49053403146371,41.07920834266133,46.52496280659263,44.64504586113387,44.329941807282374,47.969512163183296,51.27967124358,56.1985976612266,55.831572905182846,54.74979832275149,52.6374839191605,53.71888494715161,49.984814607016844,52.921567349288324,53.120824902616825,46.90254320216982,47.735628334357365,50.8728461309793,47.561029646706714,44.22852004237415,45.467955601348486,46.69466482048888,43.51778372656493,39.399694969606266,39.486438008986184,39.63643334418275,43.37960012973364,44.737504322823916,45.7803405911456,49.47721119678199,45.587982773064255,42.64748067169916,46.73969401658798,46.51908627772533,41.593200116846695,42.65676225543934,45.6128290227115,43.89109312548608,41.98064271738622,46.94539949098092,47.76110475785542,44.338961549438814,46.18591949160605,49.89943471647362,48.38853128644824,49.84309978533303,47.31942238995764,50.541886167973125,50.883747465105465,45.16463114743265,46.686671465498165,49.18669661037001,46.82448729113404,43.39343865714088,48.674411997683855,48.928257725390274,43.56251167833218,43.52982760883386,48.68355119243053,47.89462162825396,43.964348579848284,40.32555966976367,43.96388686200884,40.82290402325312,43.416876303675444,38.32112888250278,37.902161522867196,34.79403053123883,33.91562907362364,33.632274812678055,35.32245378329627,33.93174487516505,35.9599875267047,31.078123992040062,31.878470625967488,27.60909517238403,30.769572481976972,33.240838956560296,36.78869713988153,34.84642368905749,31.363571237097034,35.005833105626834,36.67855934243322,31.39470484873667,31.91615878252437,36.952585829701654,37.98109963753562,36.83259588248736,37.17315619356539,37.185507698750875]],"stdvs":[[0.5849527002263495,0.6086639736050775,0.8352857269710254,0.5205349494320588,0.5947200625101923,0.6108791910192266,0.550052847620501,0.5904743955082987,0.6213786692529952,0.643414392675125,0.6691590546369245,0.7094819064699676,0.6824550880059689,0.6835843417146363,0.7449539616995604,0.7414513115025948,0.6878276032502412,0.7335641115985084,0.8551612699919053,0.7824046111329664,0.8740974480476178,0.7363111585747055,1.3051248932169366,1.275866574121077,1.2514370462445317,0.9065058363154735,0.8443124207250436,0.6893531214946219,0.6988996862059956,0.6461084532438154,0.7181620259612272,0.6487971055676807,0.6687894876889371,0.6920073181721851,0.6402824989848961,0.670452424359971,0.6547481712491487,0.7040200653126811,0.6642360342068713,0.6887617270854981,0.7227999269983971,0.7145058550903728,0.7868463320965677,1.1851476514913402,1.671289392298875,2.466649111349287,3.1858665708408855,2.354443143633766,2.6373465672727496,3.9387127798380117,2.403064181385673,1.9879501873928227,1.6098176975361853,1.0481339407997934,1.276660637276514,1.0253539132356906,0.919898106115753,1.1596904923782922,1.2263711128703745,1.0999733219059964,0.7865731650058626,0.76560135899355,0.783237288732312,0.8575723848138516,0.8000645589382892,0.7280949695637556,0.9556916644679688,0.8039636404768777,0.9073549685022927,1.0220928396668758,1.316597762684319,1.480207022459528,1.1004798659686932,1.0405906528681284,0.8936359298543443,0.9394020438351225,0.7725235487526342,0.7452719229646783,0.7005885760945617,0.6793453912148623,0.7207738036293561,0.6988428501489237,0.8328642552889772,1.0580919053033624,0.9093404851247129,0.6456125709502822,0.7192773447261003,0.7657065476380721,0.6855332514205532,0.723328227661079,0.730531424074188,0.8756570226976123,0.8118008372595555,0.7182366495004978,0.7190231354142175,0.7849306596729341,0.9123732974536456,0.7064603046271423,0.7085489538015274,0.646707388672252,0.6593739202610086,0.652588568170884,0.6371788395613086,0.5769169412552874,0.78176724421659,0.6012902673106335,0.6532822102047188,0.5788072340082324,0.49251835852448544,0.5005338329328379,0.49390045721262615,0.5021371045631262,0.5646786910621379,0.5284840139786442,0.5848629312124679,0.5928356483230588,0.6194718843975389,0.5840828050902196,0.7388774926392154,0.6185753059503742,0.6170214407569502,0.6291699147252584,0.5728000301559876,0.5655207414657668,0.5761572603428904,0.6145936408088245,0.6640837890309763,0.5427817147241497,0.4683260060174131,0.4426462893008475,0.48118877991224485,0.46014897715327463,0.45803280409187896,0.4293288570221425,0.41104562722238636,0.3976814976298357,0.5895746939306664,0.3350908753294115,0.3447410123828085,0.5230091269618151,0.5382324892633731,0.8256959518571516,0.6320510321056805,0.6095928183043329,0.7889891875782007,0.5731739345268057,0.5608172651387661,0.583818958141988,0.5805311806819635,0.6224779796372234,0.5793302095740112,0.602752196435285,0.6803097587914285,0.9237165152044168,0.875207638975294,0.6207658382325526,0.6741775967021066,0.5874594573966458,0.6098998198114303,0.6022420490495665,0.5812195976513205,0.5609125030107207,0.5210878753872968,0.4813180152476736,0.4608810250215481,0.4699885458579474,0.5230385572802535,0.7279352533780088,0.6902913058552996,0.6174817975186098,0.44344502064230235,0.3562963165609711,0.3911899364719943,0.43305397508377735,0.4607622058222825,0.4849886961221279,0.5844484627704427,0.5197339583116487,0.5364175500852748,0.5170909935639216,0.6244114941703292,0.4873110626964515,0.7767990662463625,1.1428145666987826,1.864756993401266,1.8267008820622057,1.8342777681406386,1.7794204039852672,1.7843228149813697,1.1964846407186975,1.252933690518581,0.8042789325732368,1.4467069737990328,1.1060517079696557,0.8422534791035413,0.9022621707972404,0.741687388584424,0.7475195967970139,0.6767913245066997,0.6229989965243561,0.6078204857270922,0.5604255366802587,0.5099908529740546,0.5791285777551614,0.5608859844603798,0.5574355550026837,0.6563751192126209,0.6152220856934962,0.5733792808471175,0.6713350729585751,0.7353291326086494,0.6889371701348261,0.7029402666005392,0.8359217439236257,0.8400292851263983,0.8331613481787202,0.8238815281573487,0.8180873089074187,0.6896824804084244,0.6993156200808905,0.7295833867800239,1.0321359800731242,0.9867862663493429,0.8803405756086539,1.0465275139357462,0.8121528014453225,0.7627032940307575,0.9045941022930584,0.7961390158349103,0.8358012341991178,0.7954236958631379,0.9364130488291684,0.8300342443512237,0.7812801279188106,1.3409633659312419,1.0728805368115715,0.9161922837934627,1.0770900586576195,0.7224462503359688,0.9316926212363201,0.850226793833055,0.7653770253606982,0.8848087569188081,0.8577313189269267,0.990410819241249,0.7966169644182973,0.7734933476161869,0.7579678814049737,0.6763888943093416,0.5592745168756024,0.5728180782510021,0.6372268934440628,0.5774240686999041,0.5878525983830613,0.596696084641683,0.8119650783145268,0.6455658009778582,0.60886320454443,0.6109945581700534,0.5943877408589254,0.6152749749579327,0.7237165377012345,0.6128146053848241,0.6096215462091518,0.6314295281958618,0.6734976542153851,0.6869653872599607,0.6941061766682659,0.8036450652415361,0.8437645397962379,0.8087276414417883,0.8225404983052561,0.9977478038255904,1.0292114981376501,0.9808256979100093,0.9460572231046077,1.5721952722088763,1.6710346616781504,1.056049421250378,0.9321658734929884,0.815888722516489,0.8404284139247188,1.0674868237536046,0.9038892702281481,0.8964196333473035,0.9375109766588664,0.7412152433205675,0.6437927269644231,0.5386423249349714,0.5000586020515765,0.5594322002538614,0.5221428514219155,0.5073312359198545,0.7857904737306424,0.5802139257170619,0.5678102854681251,0.5783259361836885,0.9361119601159019,0.5926809030432308,0.8666012151105288,1.105683628598245,2.203122376289639,2.79989448284501,4.208411969542593],[0.621466439272458,0.6422238176084016,0.8692557453691055,0.5477311469160613,0.6305629483675506,0.6141314804671102,0.5144732852287487,0.5498246002724045,0.5576746947448367,0.5177263046199199,0.5204178401189326,0.5899231011281258,0.5439460504723035,0.5181310300814576,0.5693598258224778,0.5496399846395372,0.5086373930690109,0.5147413162002791,0.6107079292938862,0.5756186904167911,0.6325669882197233,0.6675146045315083,1.0656885543054524,1.032118022307802,1.025377454697641,0.6778920379858291,0.6168311408602795,0.5056484599841071,0.5286323426118912,0.47972185875654266,0.5217498798585589,0.5078378388091974,0.534116904808007,0.5261207805105562,0.48972984067672676,0.5037368891878323,0.5080174431942656,0.5488131580809485,0.509533325081779,0.6169882304768443,0.6802347485392898,0.6019571840691627,0.725213585394129,1.169304149651484,1.7252140356335715,2.597542805114468,3.245231600995213,2.327545867278086,2.7476948622705892,3.9982208097454315,2.4056276988375793,2.005410304159495,1.559337049820046,1.0013865823059662,1.232525426668353,0.9633117509110228,0.8422515845933128,1.057580512578501,1.1639943377819255,1.024684912090271,0.7037022256287723,0.6587884918207867,0.5979665180404486,0.7152155468319126,0.654201457209647,0.5716258755288974,0.7456570670141034,0.5780538927081832,0.678817801122648,0.8436382644881674,1.1647637592828821,1.334444997911786,0.9454550041592784,0.8699398150183892,0.7070974143804677,0.770911834881649,0.5727741334795211,0.5628026556131825,0.5477208978628674,0.5497365049726739,0.5956162023432093,0.6086041509795869,0.7868734935337419,0.9482178981685747,0.8610234189427564,0.5465807191316695,0.5676240123201886,0.6542157138773433,0.5193979242929279,0.5770526974604873,0.5562918418261281,0.744951159050626,0.6387831122032009,0.542730342272172,0.5368998288860433,0.608084466254678,0.7194264723262436,0.5713251080759605,0.5619508524241663,0.5313334286193,0.5685245248569726,0.6060832679287059,0.5556835753144023,0.5716670563733965,0.7989498844297883,0.6220331865777632,0.6023015495863422,0.5411444791619227,0.4578010724797215,0.4814319469452344,0.4795111076746962,0.47284946604403466,0.5152468197229796,0.43804529098348416,0.4755210971799239,0.4803957843743941,0.5075415240889423,0.4398323704147608,0.569150964996727,0.43875863476955845,0.4785022893037053,0.4980918328405807,0.48527666835951555,0.4452923854520553,0.4867936742917852,0.5233374406453025,0.6691542625775149,0.5514892047774927,0.46898684072320823,0.4674817430853305,0.43773701957650124,0.43610147418096634,0.48629517847692283,0.4856578315802285,0.4587071243739921,0.4409234591078989,0.5910390752298678,0.34531295238788373,0.21205376425219538,0.4064071709464806,0.38564779184159825,0.6705667608883458,0.44546461464303405,0.44837001474506055,0.6693594837807034,0.41433264993541974,0.41494605232981796,0.4448174644522482,0.48069519198326394,0.5548943410161621,0.5177066339506574,0.5331399891910656,0.6487657655173803,0.9060286419229683,0.7950803659767066,0.5313073076772461,0.5557621322408194,0.5154492049851315,0.5017347776266458,0.5497059714590667,0.526024757975771,0.44997157085311257,0.4059544664173549,0.42186747129375224,0.49602498500442854,0.5378475141492617,0.6300933039117254,0.903154721791123,0.8926883705161825,0.7884456844275856,0.5609924043926228,0.4260440107156723,0.4295986486790607,0.43297936027587564,0.421467867776804,0.4553421264555925,0.5001521558835761,0.47684936304732417,0.4924267722416294,0.49866874346479,0.6366242276479537,0.5065596328311345,0.7656771288653562,1.1165705565109239,2.001053387115971,1.761633666743367,1.780366573306275,1.730183850081178,1.8131843381980686,1.113485432554447,1.2108472074466472,0.9363703337862084,1.4046917427308017,1.1409809734140826,0.9348566373042009,0.8656867669581659,0.5683532003576995,0.5944175473997079,0.566438073476289,0.5509158786709586,0.5104292409706996,0.49656271380404626,0.471715220776508,0.5229377132016386,0.5125773667778128,0.549274378505323,0.6491370650508675,0.6108233579040521,0.5759950443159919,0.6965409180199166,0.7517910578859763,0.7152188844177217,0.7403316141011377,0.8570759405422028,0.8705561278787188,0.8720273727176442,0.8497679705343021,0.807114910609949,0.6663635876184723,0.6780346835036762,0.6726383046801317,1.0038571842016417,0.9303271196896412,0.8220223258796084,0.9910775399503429,0.7010253888306139,0.6542015698508986,0.7533896508717026,0.6701810299294338,0.6940439003698823,0.6464155698977568,0.8126100830818401,0.7284181709629607,0.6331735189427214,1.1398337862490375,0.9234746498370905,0.8112433769768485,0.9958993282256989,0.5970328722416289,0.7566910355405756,0.699857869721869,0.6683156595156434,0.8014632965964378,0.7623797134307999,0.8782704899011727,0.7111305128626875,0.7096598378195715,0.6812982721103776,0.6355011682292311,0.5157500410588178,0.5479691911959034,0.6259101279056792,0.5788142066466545,0.5726661727011572,0.6055105628496116,0.8208657570969459,0.6628661394929432,0.620644850951121,0.6055352713787986,0.551736218606404,0.5659227728633548,0.6378304551157603,0.5539806370289173,0.5778841410765595,0.5449135768571,0.597096513286797,0.6486136424724097,0.6129733684471707,0.686379951022507,0.8043591359148916,0.7479451680032222,0.6938176360943324,0.8491281242171327,0.9358449981405839,0.899581590052586,0.915515921115539,1.5151553471033006,1.6619503313398618,1.022050231951033,0.9245687620466644,0.8189332595005234,0.8670570907522623,1.0836304262827934,0.8986027744056889,0.8424672430954695,0.892768193845377,0.6655383802003846,0.5983845318284109,0.4713320795420391,0.4701116165089288,0.567840945679878,0.5280760812552137,0.5044229178284886,0.8020550955052552,0.6114572671808995,0.5997902982223785,0.601422209581046,0.9454066515323845,0.613513455732105,0.9159989933356918,1.071796278525783,2.185684420747552,2.694875788386154,4.029893507688308],[1.242690706226579,1.300915682589887,1.343380915560521,1.2289568455108022,1.3244994521202502,1.1878994598544868,0.9459864575693632,0.8680223681308191,0.8211093988927286,0.6049570977213055,0.5631086787396529,0.6219575436622765,0.5134360210225621,0.4906653878418082,0.516292910526068,0.47168864020295354,0.49945179904117315,0.5708003072599702,0.7906296433751479,0.7261015999306673,0.8270667010535697,1.0568436616381636,1.0791081518324273,1.097850897342598,1.0318164883305467,0.9037444552515197,0.7642787834884098,0.6559095165471791,0.564616650922668,0.41622149479381576,0.495144172556586,0.41678911191677886,0.46009498529770815,0.48537703299969864,0.45656912575595543,0.5368485715996768,0.46194239164713485,0.6214485449930255,0.6391608479586486,0.8056012051895867,1.0417761208278515,0.9696652811142853,1.1865956709233296,1.6704983433273102,2.3446470006335227,3.2149725502561353,3.8315673843212696,2.7653418560136616,3.253503617111967,4.381856116926488,2.810154240718352,2.3811408631540005,1.8227466251583033,1.1300325800979647,1.3972883066230173,1.1992266085265428,1.191064469029769,1.251867462937051,1.3464445918001011,1.3383365783657946,1.040125558932218,0.94588761273167,0.7292417973885235,0.9417161807955633,0.9135721962153595,0.8267939677539898,0.8328847446398544,0.6901363085619864,0.8070561778038376,0.8972063246773178,1.1703081764046845,1.3787681608830549,1.0017078264044867,0.9789900356689224,0.7556556031804865,0.866680581639744,0.6939405105851356,0.6112738157990345,0.662728635426708,0.7392286621823644,0.664118975589344,0.7569019214251301,0.7993803504365454,1.0360713313654046,1.0738663577203726,0.5643268469902953,0.6374038114682354,0.6876557070952237,0.6202248977912063,0.6388950820244446,0.6070593719187073,0.7832284268453212,0.6519781146887142,0.511358504172985,0.48097623912699206,0.5723800551511347,0.6805233372569709,0.4980522788585832,0.5241170928043324,0.6096950223601196,0.48536429446225876,0.6847642724808465,0.4870807637688795,0.6291029626464455,0.8081373246856142,0.7420276282061579,0.799495319999707,0.7957181542437074,0.8286569837755546,0.829758785382388,0.8840876284875413,0.6758163364300366,0.7126192456280533,0.4457679346756049,0.43483307567150453,0.48392177747653925,0.627933377084772,0.8173986192979277,0.8862795386559443,0.6574774315126148,0.6924083733031949,0.6034360186697598,0.6452694131884602,0.467396397607709,0.6512227597820264,0.650563613065802,1.0721107021466818,0.8572518518680065,0.8290450346629223,0.6834668021151836,0.7430372116275555,0.7079472776792656,0.6693944548740934,0.6073924684336551,0.6119708993274817,0.5660635204717764,0.9120027049574458,0.5112312543461808,0.40083282540765425,0.5616246077232144,0.9913540364437186,1.0902336616867414,0.8504314284863245,0.716850997471427,0.784622211400237,0.5174229856972068,0.4618769977506165,0.3596146694095522,0.43717514760601134,0.6512370338659323,0.7429896285794778,0.7870688490650817,0.8224378331858916,1.2348545547400123,1.001300048092734,0.6948613284196381,0.615682942264032,0.6123596010920691,0.4543157225483392,0.5810981226303575,0.46340643906639956,0.4096542978456776,0.49066773782421164,0.5906051575609138,0.6518041930338284,0.9924845814951423,0.7765632152743132,1.0800633421375196,1.101945643881043,0.9371742667081627,0.6720088739620055,0.5050250886869457,0.4792476487089357,0.43210550930431196,0.40094658104370795,0.3980758736518075,0.4640835407955126,0.45973282057462705,0.4930032565178705,0.46158818974910054,0.6128934844980727,0.49360957072974404,0.7336406927372954,1.0613429284279865,2.1700022652728372,1.779828541941546,1.8575099775393125,2.011968493738119,2.2213682303903495,1.5150372747501526,1.514821350237788,0.9435745312594708,1.5768801784718327,1.3050130484575806,1.1298178543359354,1.0352671990872448,0.7448993403079647,0.8165796419674072,0.9550856709491246,0.9208713923749335,0.9980380682578665,0.9846934386052756,1.026647261984928,1.1547663888856012,1.1553743418647924,1.2188479098824339,1.3693110545161986,1.3500815561909145,1.3063597550492432,1.446670406089236,1.5343204691708814,1.5095682316655583,1.5055426447954188,1.6274995201371272,1.683405885257125,1.7121274712498868,1.6405489223990517,1.5597500251394287,1.4130088278083186,1.4037786777274217,1.355972435156611,1.588562514292955,1.5100294026132515,1.3237888307607422,1.506189607611345,1.2013121778485538,1.074753415148954,1.0362102482729645,1.1115840896180047,1.1168993267389034,0.9598153252578484,1.0883570505128874,1.152883771485113,0.9839846055916437,1.23497978361967,1.2088671595351788,1.1987731253681078,1.2658727130963803,1.0056367319685606,0.8551940700583622,0.9094408665027084,0.9981574960548647,1.040156920183998,1.0333646722173513,1.051890547879381,0.9985991807629344,1.1005810035447303,1.0167686035891135,1.0077499428343737,1.0942197115255556,1.1488597206731008,1.202064169713738,1.2513318875692578,1.2598898190165522,1.292433395169234,1.4199231729784458,1.416482121267066,1.3777149750593933,1.3613479359330496,1.230704223325896,1.1633027321799403,1.1634684450982915,1.2251429776234999,1.2615449241429237,1.1209769335798812,1.2312180758484548,1.3209468325555689,1.2033519403553274,1.1854947300398615,1.4297713480609595,1.3613862807020478,1.1552753114086725,1.2117709946621327,1.3768081028222887,1.366190253796443,1.521285520493181,1.8991691995827156,2.1136366841562872,1.681722339564402,1.66312715040061,1.5938532707036266,1.6760770128991722,1.8461353018823892,1.632451563132656,1.4526763062778325,1.4350952638247751,1.2462100566368495,1.2074630189335218,0.9996391020666257,1.0276683938565654,1.2123485074481075,1.079939044600809,1.1145417092283865,1.27308352768857,1.1379836493419655,1.2669856140561377,1.1913201902719992,1.3278777191517483,1.2013945676776723,1.3994790631496432,1.2558659338097542,1.813770893826077,2.213232360096555,3.347186228093867],[0.5199071119476384,0.5405591666903019,0.7929420928360913,0.4331533644973243,0.5237836761474348,0.5446073073516763,0.44649584904593037,0.4894241914579717,0.4490017638579892,0.37538187763407155,0.3789056010425392,0.46460939520187905,0.39064411820081224,0.3759883973187917,0.38448349090966477,0.41123131264360613,0.40501718996869635,0.3529608050598966,0.47732871908803054,0.39966273848370376,0.420924687161064,0.6097941169012789,0.8037198202164886,0.7829361467718794,0.829891777273711,0.48606343604148317,0.3766252781478554,0.3579779125897321,0.38782123748242625,0.3468827337588587,0.37015195564644016,0.3945371698467023,0.4272028700403639,0.3792894470982332,0.3796517901547976,0.3666637115718139,0.4136220337349978,0.4059229861935118,0.36225667479391727,0.508988613277681,0.6932283551932563,0.502528553977064,0.6163430517181845,1.1015684672073245,1.5687802131334105,2.5578416130819774,2.9736756303340335,2.0310558563899463,2.8935496273799806,4.0725323255769545,2.2773915798693114,1.963690893396891,1.3679480783803686,0.9200932243840022,1.1346029682741159,0.7700555451605264,0.7072883814135517,0.8866530327038176,1.111479822063424,0.9068516863648531,0.6438129949160967,0.6283169050119948,0.5557164379088844,0.5066911173730687,0.5559580243950584,0.4710402580357405,0.5238711745999409,0.39453454279546046,0.5315836425841756,0.6723166234305035,0.9666303819338365,1.0944249328584932,0.8444246589016763,0.6491694877670696,0.5185531818568719,0.604365056551057,0.4278339906104581,0.4264080816856237,0.4534428093331774,0.496440246518895,0.4799897054932453,0.5287082359336084,0.8077703823685243,0.7426590907062456,0.7392423669512452,0.4190684635601053,0.4082487666603966,0.5838468180897434,0.3909134893774028,0.48134915227125896,0.39685730902932637,0.5871214856865886,0.48601099576630846,0.40443103832165583,0.39804758550200664,0.4318535330173474,0.561287562716199,0.4185792306316925,0.4223425797043256,0.461814086647078,0.42567638496294413,0.6022700223273684,0.4264780245885148,0.5158245839675546,0.6993781107597649,0.5580003722591145,0.5580703897981165,0.4717245004798283,0.430245638569656,0.560372352071676,0.45389173782114517,0.4215206679876763,0.43177335139873974,0.34023626239725624,0.3395369474789841,0.3762826372569365,0.4634810532580965,0.3537438862159975,0.4396706452278504,0.3876775046486872,0.41329366524914185,0.4755896585008124,0.5108964069368853,0.3556537695689675,0.3450119554075761,0.33183203317794013,0.5619025447567547,0.4804494900218527,0.4249836325801984,0.4410710258086015,0.38679664965775784,0.39135646237759647,0.37690258382962805,0.4022287517784624,0.3819477408372095,0.4048905174745676,0.5479248486659277,0.32774988597846383,0.27317928468575053,0.25895671238633106,0.309028524994707,0.4843356142456619,0.29336958143402236,0.2944490808392243,0.4680343379534933,0.35266116706087064,0.3816227665285442,0.35366145674785976,0.36335765637279305,0.4312534274684287,0.446125783151875,0.44875820818868006,0.6461315365021951,1.0013585653097987,0.756145783403642,0.45184417585563796,0.41524724373033206,0.42212136908946446,0.36517447115381585,0.4423108851582717,0.38086902739827444,0.3661296043555262,0.3244480038877149,0.3445391737953015,0.39087282631800924,0.5464937263114206,0.42793184784095734,0.6453015090756725,0.7111777854934812,0.6665271225772742,0.41670255534667394,0.2961914576727151,0.3462191065990376,0.3870645042370117,0.3568736303553152,0.3826382642181134,0.4266605147553914,0.4614337370715288,0.41487496866376866,0.418622112712236,0.5673972512958324,0.42341607180327373,0.5368373317877474,0.7673178344804052,1.9691800747903294,1.5437005215855202,1.6846961544436108,1.662727857551179,1.9926869640193734,1.135074258257392,1.5298779202258987,1.3806195877753642,0.9742283029008624,0.8920882241181421,0.78252944129023,0.6746792174746558,0.46277027761784506,0.46219096819801964,0.46688189029568616,0.5213321109190497,0.43744622599037275,0.42140183702181766,0.41380700307237345,0.39744644620285846,0.3951766733953686,0.45552878807054714,0.5059788008683423,0.47918881066758207,0.4804011836829578,0.5715289293551422,0.6131062845002652,0.5842089107622589,0.6155320271672117,0.712459633256367,0.7085428346896145,0.7378830721299954,0.7765827424257357,0.6522039458926825,0.5248869309868108,0.5358206122501374,0.5330298586623351,0.9334067144196192,0.8330966339925089,0.810735301674232,0.8966264064179078,0.6168617080000018,0.6286400447247306,0.6542891638105556,0.6032400527960365,0.5571880108830609,0.600947233375356,0.7042375584752857,0.6501116358595931,0.5179309584244759,0.954766924320164,0.7562683711070992,0.683655419339748,0.9695397318335008,0.499467815207664,0.6425231785932889,0.6124316742844568,0.6236572902300976,0.7436336787396812,0.7220974326563057,0.8292280972369414,0.6528175419823364,0.6383480743178992,0.6553645154463434,0.6006475573474673,0.4659016323525288,0.503592072387476,0.5846082090675387,0.4990196793987637,0.4901467021328953,0.541369287159245,0.7164947510386717,0.5561467740881266,0.5300664421694858,0.5090191821862847,0.4656934512634549,0.49132821291282003,0.5119062992820715,0.44449096390132065,0.4610568084258839,0.44188446019339284,0.463376768988611,0.5192063445351816,0.47812756042949994,0.5408069759854169,0.6996122836823455,0.635962907477944,0.5991570901287039,0.6744434922029185,0.7864434145115254,0.7453372077925986,0.7604044340883646,1.2248721767090123,1.4940055894896387,0.8074373337597409,0.7247712460927913,0.6734795847101727,0.6979069169869293,0.9112112878778061,0.6984240365378886,0.6125009791903329,0.7496351398374345,0.48888590579251645,0.41526278243965264,0.38517910063798844,0.35043315485781384,0.4790090497755582,0.48181492956583155,0.44546910957405006,0.8289787742340787,0.5748638683053504,0.5293775074357804,0.560008460368152,0.931165234405445,0.5445458833544893,0.8611070079221338,1.0744783511191804,2.1922524531060334,2.667964712807181,3.9053653516385345],[0.6954769561998166,0.7519790037212357,1.0382116356393076,0.6331921614447138,0.843130160692626,0.6436046940092411,0.4690783640996693,0.4718959468774123,0.49400758541479883,0.3825153930556681,0.3980559008728062,0.4637515308643141,0.3969326891971863,0.3697455340087335,0.38255886194946825,0.37476351186923,0.4077094476588742,0.39003949932618603,0.5229080957419098,0.43620732388313493,0.4558055224165368,0.6718075199847607,0.7015331035025743,0.7276934182116578,0.7200742912690858,0.5148830603831218,0.4133956309490168,0.40445129822418513,0.40402406303973337,0.35343851291956346,0.3751335062580711,0.3841845958754775,0.41761843519370184,0.3897292583498591,0.3763492408966877,0.37427827594111956,0.4179977249830674,0.41075402333297373,0.3991483398536335,0.5444648658212806,0.7115692259604085,0.5817562900479187,0.6678951313466288,1.1654381272001855,1.6809251129962728,2.685147267432134,3.14334046812788,2.1104078315533914,3.0382290290146305,4.134919033476164,2.3820645392564943,2.0559737622099044,1.396519584859153,0.9563398800948275,1.112943053654487,0.7480949078591855,0.6864258882642389,0.8388374513450487,1.0599559407680244,0.881327463051095,0.6458474631877464,0.6213464105948705,0.5017370473911752,0.5630351015935045,0.5915050509881767,0.4890229106908573,0.5504893450158442,0.4304220812257083,0.5975783781520907,0.7134711702010847,0.9498491164845565,1.1128397605210947,0.9049485317139089,0.6716188604795582,0.5412091024244159,0.7045606605894482,0.44245822800587736,0.41833010109191426,0.4444983885969024,0.4906923836597802,0.4818988204347805,0.5455132576227488,0.8182514179674811,0.7205876026123061,0.825281460615545,0.4660964998533707,0.4245910377904214,0.585387727605541,0.40099863032905003,0.4839519959249882,0.4256640134888859,0.6433694464186385,0.4973920248040193,0.36785966910429035,0.3736029099611426,0.44814241528854437,0.5307812660702383,0.40710337109304023,0.4015921428097746,0.5028524699942222,0.4315302543044602,0.6371424861817144,0.4396139161559586,0.5542872904115427,0.6394939795379568,0.6311745721714925,0.734172347914819,0.6874479989010479,0.6560528212592791,0.7675789233080313,0.5752009662788108,0.5104485618497921,0.42072825222389115,0.37813282788981234,0.35719073787292716,0.4023077251175784,0.4948280816453749,0.42767101756919634,0.49120515964482325,0.46217461246617414,0.5210595941145568,0.5523876883284848,0.5916900120021624,0.4368231819389399,0.33783593468682693,0.38890483293481726,0.5899078373296003,0.5481379285925511,0.5910581107335958,0.5909091466713594,0.6546685087680771,0.6839412260664041,0.6314787208092059,0.6164432328361018,0.6295365622111282,0.6007034734513806,0.7795614614181289,0.5307278383265224,0.3181718654044802,0.3377841871422991,0.4095603754086109,0.4976434281222867,0.3737806430115004,0.3506217172249245,0.49941393337670204,0.3672581532155496,0.37785383522443594,0.3520411391408532,0.370133374582445,0.43440290435724566,0.5079048131160595,0.48333985430828097,0.6735287727190185,1.068627065754733,0.8214253176298673,0.4717839369374334,0.4019451067232181,0.45694498452279697,0.3811040179057222,0.4905926216709102,0.4505343624207831,0.4004218564793558,0.38814123897859915,0.424923462055476,0.5131543217010617,0.6140571471890005,0.6546774938197863,0.9034941649897311,0.9875399821844455,0.9034771447250041,0.6753660153570723,0.5148326588886788,0.517224194791107,0.5006827664028872,0.447150090247902,0.4647548943322856,0.4758086462217939,0.5641999586635387,0.47304287865568034,0.5352601746143252,0.696486611277015,0.5169710972458444,0.5896851647543482,0.758024233809954,1.9365314624638432,1.5633820728807242,1.7546582431525377,1.736471639452767,2.126126878514164,1.250824790186398,1.5479702960038553,1.4636565482740909,1.1364012097673533,1.0248877301410524,1.0016751905941501,0.920116101409722,0.7277549169315298,0.7505925513372359,0.7824742822355999,0.7330998113180055,0.7209374694967493,0.6772270794950052,0.6527108432243172,0.7169362175941506,0.7151703340013206,0.7279053626588183,0.7915628931818665,0.8013675442970318,0.7816521245189534,0.8556951846428219,0.9177102884875081,0.9029771928108565,0.8889817638979358,0.9888006478266504,1.021465298537269,1.0267365639086672,1.1118704161381088,0.9258529002302334,0.8408598057125825,0.8636178830083738,0.8523913912965342,1.141473251537089,1.0836564111207818,1.1247768946255676,1.0984821941442227,0.8410922939003246,0.8294888325701387,0.8592669437772747,0.8498529597389654,0.7786896423898167,0.8908934029203808,0.9372191726110588,0.9500867844847334,0.8184183679644126,1.0192184096194958,1.0418365361066857,0.9575232133346169,1.0972754140240093,0.8141779231657265,0.8547938302700971,0.8438921922520085,0.8646522630908847,0.934379026610467,0.9344637526930948,0.9758460964718781,0.8760155095116183,0.8306610752126837,0.8030908998318738,0.7466016306767108,0.7021446845364248,0.7101381259439014,0.7457669950830118,0.72676895509118,0.7441910329760456,0.8082808766520955,0.9544456912173757,0.8556491064587147,0.849020834934853,0.8310483585131782,0.7637264316712185,0.7467224773975524,0.7907187694386908,0.7685846833872989,0.7900413989580558,0.7755340106758523,0.8048379937035365,0.842869771909368,0.8049144902838753,0.839432639688714,1.0202817353603155,0.9154578650252955,0.9020413308691307,0.9555163948927252,1.0693628019295862,1.0107059368815683,0.9595226987517297,1.2695943980538038,1.4565235197724329,0.9815197498718546,0.9224711767960819,0.9318597581256864,0.9647778771358392,1.0682621280071836,0.8450644751489389,0.7836281218854857,0.9833845844784166,0.7966683943451628,0.7224085253457624,0.7023560273144298,0.6595714121488165,0.6875912566349934,0.6158330571087647,0.6247483416941859,0.9006979452595973,0.6850287974025446,0.7708590402463219,0.7841377910201739,0.925583725305364,0.7876422209166107,1.1551756904727175,1.0679257760851908,2.1891972401831334,2.584339154157698,3.4647832936265837],[0.4974558133039194,0.5381535429940664,0.7403140791200138,0.4259908131713751,0.4589882616444863,0.4088765959047425,0.31389944986057233,0.3451447947399951,0.38854280760483906,0.3357047871408677,0.3353887538066009,0.40375228556231824,0.35318019876343454,0.3317667906102499,0.36838232835860385,0.37873549766419956,0.4120111028784593,0.376303876029859,0.4536641063169016,0.4232495931324997,0.4207609575462862,0.6218759512353622,0.6909613636487942,0.7212456816832444,0.7152729413245877,0.49041204182117487,0.4212400790405189,0.39373491564099233,0.401638848761745,0.3603014391148677,0.37895610613426817,0.3810372035896014,0.3942753518433441,0.38002164116951215,0.375977423232362,0.3756151135890725,0.418670746328508,0.41561710643356314,0.39689473581195794,0.5485966335594866,0.7404824232075917,0.5566095491710207,0.6583499243867519,1.109944654481945,1.5685687590416213,2.6310726296896503,2.9732526036870652,1.9117547416804253,3.059690627178557,3.9240806815168825,2.256577103763321,1.9814746804332084,1.394549565172617,1.0405614365369569,1.118532707979975,0.7548146174792313,0.7017771730505332,0.8341692267396191,1.0418006028447637,0.9085211381573227,0.632676264802965,0.5867469438740143,0.4959247895814381,0.5393246351992436,0.5220028116097613,0.4612603285413971,0.573298721964624,0.3954632443202236,0.5642913320801964,0.7314373101328104,0.9698691505723142,1.1424308531162726,0.8884181389117327,0.6407338316759158,0.5341566630392136,0.7117414977725369,0.42388887635558636,0.3974998859431676,0.42348345683261956,0.47530908801826754,0.46790740070405884,0.5471670633294986,0.8225429506297267,0.7117950701997592,0.9139119382628057,0.46953608506957395,0.4266475443873503,0.5472172328119302,0.389214212519926,0.46238981896777614,0.4181011983813877,0.6811062833514384,0.5146620969906136,0.3922456058668182,0.3826238942138993,0.4674706276743544,0.5396467308252699,0.41485727505791986,0.40067987463485805,0.42151636275408894,0.38794385266840153,0.5062109020508665,0.3885784800958205,0.4580761566893303,0.4886840838725371,0.5389052707517976,0.5597178273089609,0.5052461053068892,0.4718779210260043,0.6399825250443953,0.36786297106501364,0.3495865126405302,0.3058486838700972,0.29676312072031635,0.3477839226306507,0.3712557542801662,0.4447539793122297,0.3819219426355879,0.4403364614869796,0.40422025362241476,0.3939428280358307,0.44193355059774136,0.4021753496446528,0.301510695080729,0.2556083168903031,0.2407792806915279,0.27868108608462966,0.3181050151284892,0.38652241070639665,0.43936892220939544,0.4194825579098443,0.4236626501476302,0.4244899320980292,0.46048557997021955,0.4538116650801739,0.4614529211960357,0.6447285987383302,0.4309083099846915,0.41895284052979426,0.3764108504313309,0.5692612182012334,0.5453674120290081,0.42205119870618263,0.3651682770555107,0.46338420359256577,0.3829888474579955,0.3751169095942295,0.3598490701266434,0.29909919818909436,0.35254457054372973,0.37490884647916367,0.3780009007638397,0.5625035064734287,0.9625573188773526,0.8264466786134744,0.3759677105949412,0.32626569113092524,0.35518503017008657,0.3278413960495729,0.3922091810153673,0.3937923233192186,0.38529224704764536,0.38358928205208354,0.4137979188175311,0.4718696628648762,0.5619937248267102,0.5124241121446502,0.7247068143837352,0.7602662959040145,0.7213468127860879,0.5124503154895076,0.3962228159811786,0.40880971086819223,0.3892638231505439,0.36970599392025183,0.40420121502447115,0.4716888898702022,0.5093625387267551,0.45501899616619507,0.43914411397903047,0.5511906964462469,0.3872723852536908,0.504803299522741,0.6967473482401373,1.747036375237997,1.7527497275690929,1.9294988129277126,1.8669770240538823,2.1904003002150945,1.2876182827508136,1.604665979415367,1.3120642324560992,0.9996213279959575,0.9324916705144193,0.7749151514523314,0.6752788546485283,0.5523262043276213,0.5366490297989476,0.5189701183385587,0.5586199786851607,0.45737065152341416,0.4303197354587501,0.4068239030703692,0.4227133255101879,0.4055839938465776,0.4420714776933751,0.5376077578743008,0.4992090948894686,0.47688860984780446,0.5898582658769972,0.6609685371758777,0.6270668398769342,0.6568859283795683,0.8142561319875614,0.8175390516232163,0.8366371858391216,0.8973666807658588,0.7285506357752286,0.5990901889752315,0.6171281198235679,0.5708218035326629,1.0057794733575116,0.7979967138874616,0.8445923580509895,0.8811758267146105,0.6336815343755882,0.6427564298774583,0.6808103152104736,0.6136741229834323,0.5588471438678455,0.6366974546807624,0.6920873252157398,0.6610056441711268,0.5382059619864286,1.0300512191928863,0.7982613907115422,0.7328952440084446,1.005686193438471,0.5346353858826678,0.7066565882010998,0.6610495029707227,0.6620693215231163,0.8324897378694773,0.8549042984279469,0.9307999095671167,0.7386153027807241,0.6775678697157855,0.7222004843422376,0.6371266246334474,0.4707008281097211,0.510926356537379,0.5694790039086183,0.4781374419979587,0.49265054526264934,0.5485516926106959,0.7119243905541388,0.5685317108116266,0.5408099937564035,0.5384615569378974,0.46470681443523965,0.46707522356535924,0.5055320829421149,0.4759182661790302,0.4774716787454826,0.45634788361191286,0.48374614070358346,0.5403640321498543,0.5012003996792573,0.5562642538757592,0.7090131863981325,0.6463313558862275,0.6527062304744538,0.7042350266842421,0.8824829892184257,0.8089516297917287,0.7849385887169321,1.2165037084650776,1.4604857059111254,0.8355129996363647,0.7858175118202165,0.7347200264789259,0.7354378380781996,0.9450290901309036,0.7044537958952378,0.6689321976098485,0.7660250658428329,0.5566865121682668,0.49978985445489355,0.4373639784879279,0.4162106243045803,0.4118326699751235,0.38971641820294456,0.4027137024415898,0.9489723716178158,0.5019956555745388,0.47957495533208766,0.5879320449164781,0.8360837832000428,0.5579490612992212,0.8398347839028679,1.2290391002992407,2.616954879540542,3.257369943219063,4.548519411244915],[0.42180405712505603,0.4474857334693568,0.6038564003907679,0.34748154527702974,0.42641508740069467,0.35674989558985243,0.2969167555574207,0.30901719626585106,0.34332737217275106,0.2611141799872882,0.268847958748179,0.36089042685273676,0.26793449278785036,0.25326857427392463,0.2866241841197145,0.2890128284706198,0.324230057517443,0.2500295365319162,0.3422859978591414,0.3195414005725398,0.33290099603838996,0.5002180293666822,0.58228748556113,0.6619357431772214,0.6191666768352247,0.4174384728616015,0.3325780312492137,0.26638654311732723,0.2697049523363643,0.2716814158284964,0.313554264409029,0.31502456483143443,0.3380072470218564,0.3225209312152844,0.30554827610669305,0.28904005904091656,0.31444915166963455,0.31135395520822157,0.29060043306337285,0.436719792254553,0.662967404015463,0.4746767409495044,0.5412140807724626,1.0402116965767625,1.4642908614739265,2.606453743654694,2.8384891517085267,1.754051693438991,3.090755281317782,3.861061241548562,2.17608902907878,1.872658973084478,1.285997228935278,1.0169958064282651,1.0504060068106238,0.6365298456157472,0.5992955275586013,0.7051275256070687,0.9679955893849125,0.8299771264152591,0.551041456841039,0.5373587965393017,0.4402181295939047,0.45650451243291146,0.4384077142056008,0.3868470182264422,0.5228093357473815,0.30492716560093314,0.5629835436766346,0.6872768845727378,0.928357311320336,1.101243216027479,0.8942795749461124,0.5878145950071227,0.48235539364604174,0.6519033640296964,0.34213610439539505,0.32680651954869044,0.3269987791558841,0.37649301961788617,0.353349101529075,0.41423811858536647,0.9079475319634931,0.5118149340107796,0.7676494790038083,0.3357374380446201,0.31035120166347535,0.4332246067485875,0.29642860501569224,0.40401543833310016,0.3440613937265261,0.6221408483050093,0.4427485701811258,0.322873096067955,0.320389851037332,0.42808248129290766,0.5002574387114123,0.38199615368772477,0.3681690103100577,0.4531929048978193,0.3545541868577183,0.514138123672324,0.33354063722080035,0.3903612611324786,0.40309563088571326,0.4438402068654953,0.5269355426270451,0.4454283327769066,0.4208591343157584,0.6665286740297465,0.33527327995283346,0.27182078103113366,0.27321407534747555,0.2014533185608627,0.2125705513372152,0.21717699900935805,0.3441493657334718,0.32144670315272694,0.36454186906812086,0.3366552984290315,0.2755713298819006,0.3046638218912197,0.23672512773904386,0.1645580854393811,0.16389648365468643,0.23749012748515122,0.2589159252502966,0.2657467787608098,0.3015900288764085,0.34039851445418906,0.3292585648985043,0.34587370327475325,0.3416461203797618,0.41493582886891084,0.3870640694604356,0.38187835183607644,0.6077224103535055,0.38790245574901755,0.4330720494868332,0.3456167236349502,0.5978187873007851,0.5249839639285143,0.3803494150327397,0.2829786530092463,0.3611519363145117,0.2952016264896489,0.25964572005624353,0.271553593345118,0.20850525103698825,0.30860666422263955,0.37843608739696943,0.38958397716695864,0.5483445257631567,1.0595319514703394,0.8757146368151484,0.36788836167668715,0.29848501150241746,0.3324932780669895,0.2659869914971827,0.3104974995684589,0.29974820994332646,0.2953469418353561,0.28930276398338056,0.2938801814637095,0.3818325293626014,0.5098508983590208,0.4595571306103478,0.6979559805375767,0.7433005442812818,0.7200794524003391,0.4775042603637735,0.34877803834680493,0.3281181830352489,0.312906491814662,0.25794389271415447,0.3187039494334485,0.3744310331304449,0.4960966493318239,0.3416252030825305,0.34946114294417924,0.4855039857149661,0.29958748987105216,0.40801617816569385,0.5828315046000452,1.6273914460333883,1.6802626189276826,1.8464694116089762,1.7698071676621783,2.193944055166119,1.2327080251652023,1.6554086321204853,1.4559650279522767,0.8504651280938819,0.850581349330382,0.7053941983224448,0.5846076385015448,0.48858614309319204,0.41586550893331004,0.4331713455756482,0.4508138800477197,0.3612221097870481,0.36434883839401955,0.3440002584513735,0.3795065287226922,0.37479603035602216,0.4320324773590385,0.5186754390522922,0.48483086309419327,0.49516425037758305,0.5933344019406133,0.6577384806498832,0.6408438169917732,0.6819557265191218,0.8290413547292794,0.8174009623634864,0.8126652505688672,0.9376509031873336,0.7089458702300419,0.577954006234943,0.6131109410037343,0.5671714296446956,1.067155357204101,0.8041374153773622,0.8575524953402422,0.8809643101199308,0.6323750435616868,0.6371202766250699,0.6580096083648754,0.5737293066464603,0.4820379889529903,0.6090673971318505,0.6320119694677052,0.6387540559210126,0.46331679855324287,0.9248034640868326,0.7101762186477859,0.7031305628661205,0.9463958946648762,0.46520483573905924,0.586302560634917,0.5930469875505817,0.6252610226878664,0.8013674046953263,0.8643000878998148,0.9147700655602353,0.7151425085515872,0.6197500052880393,0.7149739200041797,0.6267745434477235,0.4723930325273781,0.5502934171402115,0.6287297445510527,0.5112794200139142,0.5220364457551327,0.6216957045953303,0.7588633546216581,0.616445619521101,0.592032654747147,0.5623855939166132,0.47663913595942103,0.4545693127908594,0.4759075141783835,0.45700060395909015,0.46495945332126815,0.4304601957167072,0.4616667198487219,0.5297344581428625,0.45918403541607944,0.4994998453749977,0.6948729130823434,0.6255474162438632,0.6127283318220546,0.6423083575466534,0.8630134518772113,0.7896860247434041,0.7660908869344898,1.1107575147513187,1.3768837715879054,0.8506520787915769,0.7484730377867088,0.7072486703764218,0.682919320289452,0.8577782753807541,0.6475931329598543,0.6301336688133075,0.7655135431439997,0.535054592487738,0.45165488171980933,0.36503925711627633,0.3625235249019893,0.3638651947662996,0.3550205581747215,0.42079844420096413,1.1378064515782083,0.47891711552389044,0.45440096997268536,0.6029333469620896,0.7767646979302203,0.5546426471940578,0.8011987351123886,1.2730681523934142,2.729839300854995,3.443776693337449,4.67371150309976],[0.452186365434708,0.46738228975153423,0.5706460203280348,0.3775246417558528,0.42163985007762916,0.35231160479019297,0.29057450596431816,0.28165982448563076,0.29191197103635724,0.20956882381627645,0.24298766021205748,0.3362586875202617,0.2647883233854757,0.24720616415918828,0.3333157617483007,0.3130594165463111,0.36608468943249645,0.327040205928085,0.44451933838607965,0.4141185293901421,0.4680484538021501,0.5965768117299247,0.6417717129628945,0.7924340629358563,0.6027527660073508,0.5267097283348436,0.4421661906122009,0.34961901042861826,0.33718427801375966,0.30848183231323634,0.36310653222889266,0.3195391556865131,0.3724583875357031,0.3673195646995306,0.3311478194468786,0.3556165115912432,0.33080820362620783,0.38019169280612186,0.3938175962931317,0.4999370121187571,0.719299977620934,0.5774788585911652,0.6749625574943919,1.1518360888958723,1.571307578763818,2.704717836423334,2.909486812358167,1.7819330855984723,3.145180784158198,3.7303742608737256,2.206505307590899,1.9058500524479098,1.363961484165604,1.0910535049893673,1.0464166580329832,0.7177093759232966,0.720557825297838,0.7780072121232123,0.9767138434199418,0.9424051497280879,0.6380732747948352,0.6040806303302204,0.5091437713638363,0.5765207737219459,0.5561209348292742,0.48030201732266103,0.6211045954753734,0.3879188228187574,0.6633576266580207,0.7453528381163387,0.9545127084421752,1.1622444535575636,0.9321567067885455,0.6725100392029953,0.5654221874357106,0.7706879835226299,0.44947386036620984,0.4126239810152681,0.40604816251999193,0.4495339188592141,0.3925601912533296,0.4390364873398892,0.9528808502591475,0.5550141757480822,0.8962152124852029,0.3708582452717561,0.37163459842343904,0.44223317333867407,0.3761694083877885,0.42858015692341117,0.4107578678258905,0.6968279899831463,0.5043152387707486,0.3958126031476099,0.37364042082062937,0.5171783605776363,0.5666282999061661,0.39626375631019906,0.3615990736167197,0.4706993262369083,0.3462642727098057,0.49760748006680433,0.39977743939433025,0.37266667832119466,0.42420016292431595,0.44179000720607003,0.5205199758429988,0.458665789158646,0.43754232674100474,0.6696433406685812,0.328491147669994,0.30371100515725147,0.2975318153640987,0.2637734186472043,0.2657096127937897,0.31171091270266343,0.3573644658878167,0.41209289821836725,0.5336926757209268,0.4170475246190398,0.3882742776966957,0.35534015161794436,0.422108574236973,0.2774234688688825,0.2427208795093599,0.2879950400595041,0.29056854155530215,0.29871952401031077,0.33237920528824255,0.39553695606565387,0.3635658715373226,0.37320075052724183,0.39985056796079166,0.44832677268467297,0.4345363349664698,0.4251639185843168,0.6190116386693478,0.42726671597607363,0.4235748351117893,0.39706783914455096,0.6467419703111882,0.6292491101901481,0.47520748213765385,0.3780350987276031,0.4027703232537099,0.3657257572409616,0.3243083392448837,0.3126032807501113,0.2582396615268198,0.3222337460366115,0.3811508710328204,0.42434694882492774,0.5363490826272453,1.2105872041091672,0.9815045321829108,0.41271025692841923,0.32385173091116576,0.3290362674766914,0.28571884259597424,0.3320947300574751,0.37434585822949257,0.36455491189916417,0.36939593766372775,0.3789055307005264,0.4662873742437122,0.5713490608697979,0.5221171330440242,0.7482336940112434,0.7741331785918552,0.7377847732950825,0.515580282718218,0.42059130990186216,0.40869477633723955,0.3916279964735841,0.33262258944413853,0.3568450192468429,0.4273291995353559,0.5431611292202693,0.40490221012921174,0.40221750260307726,0.5421399882695443,0.35444671283782636,0.47676257510875053,0.6843710894891172,1.609993091110295,1.8397540579758564,1.9762036675418122,1.9308687936099929,2.2644752811908098,1.341198317302684,1.6420472584101902,1.28030398786722,0.9499446666908883,0.8905985541866974,0.7732368507189475,0.6528416470447765,0.5267017134411822,0.4448044987654997,0.4501274565125412,0.4638978639293665,0.3681785069299869,0.36104687715167705,0.34503482697951654,0.37119685793482976,0.371438524246101,0.42163396139202824,0.5010952080399906,0.47552508283597245,0.49947830327428144,0.5962088781445749,0.6737602050792751,0.6658556839820966,0.7065584975266296,0.8599782006833352,0.8615631213773487,0.8390375643096907,0.9828376568195873,0.7339242632981978,0.585088491282938,0.6337315899097231,0.5788283278773672,1.0720271905737493,0.8221129829953044,0.8762128109115014,0.8671696360177963,0.6169021842225662,0.6283213231820317,0.6643001994954314,0.5898743283742296,0.4876719680791193,0.5917130138218659,0.6246795536702126,0.6338331580189402,0.46827856772488574,0.964200551289905,0.7559188223576269,0.7166442850931124,0.9828939137569837,0.47703814353036705,0.597056426109743,0.5893690220056585,0.6191581329372029,0.8031255828353042,0.8705854908885048,0.9303494021628694,0.7108282028829472,0.608869002980867,0.7280799800479679,0.6308952026889135,0.4744838722601656,0.5712760385561683,0.6605997826055231,0.5221172055569749,0.5356566380073471,0.6714509068242658,0.7939380736528326,0.6426109668230494,0.6264624808186668,0.5863255279977159,0.4954274892924806,0.45901679017182445,0.46826431072147545,0.46542185875548236,0.46976798648343104,0.43254521741522306,0.4686490020229352,0.5389358506025694,0.4601873509529734,0.5071331921809571,0.7101325350277199,0.6224756905133572,0.6252338790978905,0.65958026916886,0.8926090178255872,0.8065097224247859,0.761040554184954,1.135643662543426,1.3664297197692747,0.8795394760398556,0.7652399209248424,0.7077005007126124,0.6839402468964256,0.8610927897904168,0.6396420129760952,0.6373459505293829,0.7471246830311189,0.5323424013031226,0.44370391411859694,0.37477846120825914,0.36659477597999196,0.3519759851646406,0.3507583405248515,0.4255962737246213,1.2275855433398328,0.4626227144868311,0.4546044149372609,0.6238432863216069,0.7293867406347185,0.5689026463967013,0.7887710395812005,1.3007256240285068,2.80621820398078,3.6296607111479724,4.805703743533379],[0.47134338706189527,0.44501963536065503,0.5689795826445506,0.38490420051670865,0.431281828698647,0.4195005728739937,0.36912398599675056,0.2975890418149442,0.20821465389467625,0.18169753314615544,0.21073774510172513,0.3140289495697125,0.2516657546118359,0.204666659376778,0.2761820379558319,0.260259763160286,0.3238898938789669,0.2672778703977932,0.38322009771589055,0.361993410476152,0.41506612291252304,0.5189454546676022,0.5449948470444778,0.6861990825920854,0.5397889156052421,0.46437514943089125,0.3908263348080626,0.2988130797492008,0.2849055163378104,0.2778291594200585,0.30602950376589105,0.2967023651055418,0.3443972204510042,0.3308621288464825,0.29138821080145444,0.29687336358547844,0.3143503712923243,0.3320965786659561,0.3305619392739774,0.4286409858201579,0.6605452966282823,0.4770027390368749,0.5136868100113785,0.9174874871825681,1.296689494749429,2.4801978905676325,2.5158945705816014,1.4228284913318534,3.013385922844441,3.521978686497851,1.9852270617143013,1.7233783055861904,1.2268609094846412,1.0872324570414997,1.02817595087009,0.5874756691462095,0.5578441391193514,0.6281150619888203,0.8944744767625513,0.8053451292687651,0.5487943514944905,0.5467296786755678,0.47053982109500003,0.5187590196202513,0.4661249952006765,0.42384387122696077,0.5453186971860768,0.34265617121960745,0.6323634677589962,0.6908374353091025,0.9271565124844953,1.0968994560317602,0.9172834212247067,0.5937045197070462,0.5182059941408441,0.7105909857231121,0.3858754968757049,0.3600841194300447,0.3458384138614692,0.364148689335907,0.35113752672773274,0.405362695186667,1.0188802739401495,0.4544704965412975,0.7812994292316784,0.3375197227338818,0.3276309700745201,0.40911706751348326,0.30623828248936075,0.3928102717331358,0.3605595888113596,0.6347143770422915,0.443973823518514,0.3352682028436052,0.32392367117519677,0.44992872218386143,0.5270516431477269,0.36701573984683694,0.35322063139968646,0.47006699584878125,0.34785476210665384,0.49788112930671924,0.4459705563160789,0.4218132095826039,0.46173059557736834,0.49720583198048185,0.5633974811934627,0.4529727716987674,0.43562251980372574,0.6885701121246874,0.3532661449917307,0.3464708921808869,0.3554690462198706,0.3045674626067541,0.28923738879276095,0.2904458857558528,0.35512466994611125,0.35448684137548664,0.4168689607939115,0.38756040448818735,0.306427182672826,0.25797800763640955,0.3327262888520446,0.259217148593803,0.2850808726875026,0.29821469941833584,0.4230134872587733,0.31257076320551175,0.37134643391966754,0.42913662431477817,0.36602348609820856,0.3771420130623229,0.36051602627097984,0.4688479846240052,0.3907370861280526,0.38164167922061665,0.5645904043733904,0.37844028549308517,0.4296623644811899,0.36052490131189946,0.5803779694578481,0.5239887070082934,0.44572114761139014,0.3370770860431421,0.33117144647266206,0.3316498710241019,0.2866860275616869,0.3387684191086298,0.3353435018056834,0.3744321731755194,0.4054038388373262,0.43523854662410516,0.5193950605975562,1.1574188333465165,0.9809005844575192,0.4234754950973596,0.3438118225789612,0.37391517068783103,0.3179327812737749,0.39210688602679955,0.3970785245620066,0.3508228047300821,0.3258864731011692,0.3208157484573024,0.4140442087995878,0.4735210704917853,0.42503375729285864,0.58710131331526,0.6160982379426521,0.630287780929985,0.44609145132060474,0.36655607471188983,0.3524333219030723,0.3700375290115646,0.33055943842665575,0.37905973224815653,0.40973572587721824,0.5499167758383254,0.3829424397859557,0.40801960686053773,0.5164452397671077,0.37519361559417025,0.43807204682894685,0.6056709534193202,1.396824362948124,1.7538212394928423,1.8851813688058936,1.8512475857700672,2.2242364630678524,1.2576444813085152,1.719111313185724,1.4995832738910304,0.7295703630282803,0.7788996664122082,0.647549345162015,0.5585162593406091,0.5326189738544866,0.4436884023176824,0.4631388889926953,0.4999402827038849,0.42069474104442967,0.4205373546062099,0.3987311656324233,0.4193664703671844,0.42363781179075766,0.46371033982438575,0.5282298827313353,0.49210815740361014,0.532014367511293,0.5996995892317236,0.6457042837693981,0.6366095696816495,0.6957734818155393,0.8485474202408081,0.7995069991331499,0.7894881040136899,0.939618362784109,0.7010655940859222,0.5711908758719545,0.6012920203230231,0.5544345121467353,1.1086537879325928,0.7632809962688668,0.879898617703758,0.8345758149857623,0.6551475986971704,0.6648217866713365,0.7277665393993347,0.6024133215240794,0.518463968370568,0.6369594919451633,0.6372868793841399,0.6081742578967871,0.4779600097831533,0.9951493178296783,0.6766686181711083,0.7000956098526085,0.9333477735112309,0.47930363201066506,0.6086543949586702,0.6348592777779829,0.6593429790520244,0.8538473043664735,0.9402308256079529,0.990206435737055,0.7497663525659095,0.6616840812072036,0.8186594419286584,0.691002024791448,0.5435664925322615,0.6458111472880712,0.7151528369481465,0.5704052099105748,0.573570665808151,0.6959190129244662,0.7622156175321768,0.6590701529732502,0.6443061166745858,0.58942359613656,0.5280192429611036,0.5177307616376728,0.5204241367929955,0.4958533429422074,0.4878778910712674,0.4627123149831703,0.47528698014062903,0.5286216295429541,0.48384901625624,0.5138613168698507,0.6708949929623641,0.6319639850604556,0.6160581061409057,0.6460634370658942,0.8299556003455517,0.7777116974391338,0.7521645664391008,1.07497226073686,1.3467021445674126,0.8628235806474721,0.735956820756785,0.6946556966196265,0.6552643096864794,0.8436575075103286,0.6417605285810657,0.6292360088175859,0.773895495927476,0.5438340547005238,0.4898837683308153,0.4113731860835758,0.4190844608586453,0.41143206054615267,0.40039905304067824,0.5036892824645186,1.3016951809776878,0.49487450999335325,0.5055144632068678,0.7012144351113201,0.7266458770832817,0.646849237115875,0.8277474160676906,1.5896480902487384,3.0636004680574036,4.023325805234186,5.494349678208323],[0.4730815038912541,0.3795400469276076,0.5004584772360905,0.36942841121627973,0.3841861506441261,0.3714740133051169,0.27459516321205796,0.20293919699078403,0.196663322287025,0.1263707960001523,0.18557204422936482,0.27083769798742896,0.18786279023094474,0.17333692068318987,0.2728306154757278,0.22375867706873498,0.32166421958019675,0.3012187284471234,0.4053659010220244,0.3780092672816943,0.43186399553820787,0.48225747654129364,0.5269724600406119,0.6874743938981909,0.5342031930263206,0.4612000618130173,0.39060195199209913,0.3155659496366546,0.29810599019700945,0.27724445265614456,0.31072301175552053,0.27484291518928894,0.3431689717453595,0.33841349592097414,0.29306207577189847,0.28199671768020024,0.2953856180026431,0.32069951529712376,0.3083642979749442,0.41185722889364357,0.6255386926811355,0.4456500523290784,0.4490208564090864,0.8073403457719625,1.1697339811918377,2.384784131362645,2.3502189608468855,1.2707717984517715,2.9557138813428043,3.4912222705696174,1.9077261890442407,1.6450714415951324,1.2051531805456968,1.094598083132574,1.100146749260899,0.563476187736274,0.495678660421415,0.531981935321071,0.8486532820807714,0.7167825103784256,0.5275558995455922,0.5368084891860608,0.49846358051239775,0.5442046384036181,0.43750231477273277,0.41946686419543977,0.5708980982768658,0.3789441372860448,0.6885139394977299,0.6371568050958059,0.9096828227241407,1.0883379142553058,0.9581232326158695,0.6129669733106844,0.5302028217151122,0.7122272131311145,0.3927501180089085,0.3784640457215372,0.33163902688066776,0.3667122726502871,0.34710078567308905,0.36735170275604173,1.1412064573236274,0.4427950422699223,0.6054400760021963,0.31423916306616506,0.31022016712811007,0.39879566020182033,0.30207497519073245,0.4017901862195614,0.34333411694019544,0.5871008652893643,0.3869060904578739,0.29835808253436197,0.28856282197149435,0.39272964004122957,0.43302933920891473,0.3413131428515466,0.3105683248317302,0.4965585741649348,0.33196111626217145,0.5037956065891356,0.4039892593659838,0.41329730748543625,0.4367089984657023,0.44370824946958926,0.5674175107049938,0.3497528034838045,0.35197792179023846,0.6636388315167657,0.26693416676775233,0.25603699836383664,0.24712134301490218,0.28277189515022433,0.2831559555416086,0.29365017351487144,0.3837643900782648,0.36376360969780464,0.42991598433157113,0.4288458794979063,0.330521457344837,0.2825903565473199,0.33692117425813395,0.28354714969473366,0.2530526871118796,0.2641838591241139,0.3656743869969238,0.2849380613694688,0.27744887824413744,0.3291962994508639,0.28271704306891343,0.3027287066164689,0.28982990845015844,0.41959567753494365,0.3579713176241376,0.3409060065123298,0.5789316651814074,0.3795916606438875,0.46136610267389233,0.3621770515991335,0.5783057747537323,0.49947731009518415,0.4447770718940381,0.3434105843233152,0.318913235030703,0.3334827458031569,0.2724200892043487,0.30647948823643634,0.2976728593077519,0.3107928363686158,0.37797049315363374,0.46967785409834834,0.6085335230415606,1.3641506358298234,1.0480450174413276,0.4658719007137514,0.3254293014825004,0.38384240984328644,0.2833173742935406,0.3858755777484885,0.34705401470349573,0.3314242003570209,0.3054206384683462,0.3054142422059836,0.3803693180971578,0.46945766212234796,0.39775739354470385,0.5550936069618158,0.6010389570841075,0.6208681207478405,0.41873726673181855,0.3332808811002737,0.3111539424386656,0.3364868893963802,0.2993805901377196,0.3617249607550338,0.35483593113933953,0.5863492701763626,0.3574229011861604,0.39954460057935015,0.4951902166413146,0.33763187262601385,0.36052093680033376,0.47110248709188945,1.3005420140265427,1.606308880536412,1.745030415970165,1.7210634444114052,2.197893373935043,1.1651057090642356,1.7812509015385876,1.712540736188798,0.6217351279742329,0.7462327180887014,0.6008447696632743,0.5082740163950518,0.5317750876557524,0.34438448792983983,0.3508960647586845,0.3935635345726597,0.32489024884980705,0.3522758110170235,0.31118851369544404,0.3453827804244678,0.37560592254632336,0.4196550864330783,0.49448063934489844,0.45522464613118135,0.5193715451160065,0.5731374895660268,0.6168386718108384,0.6244518650438985,0.6875156814656433,0.8539187001772041,0.7699112678750077,0.7560539315454646,0.9353599732623616,0.6706080299447722,0.5429964131166544,0.5842441530385905,0.53003373501159,1.1855544513885317,0.7593227048592041,0.9021710081484572,0.809572201544854,0.6397499239143128,0.6517809638968362,0.7062411823675363,0.5545064045296403,0.4239605941431076,0.6425363094919974,0.5991033958771697,0.5796259639552515,0.4149882754601373,0.9326499817050671,0.5694874950366287,0.6387191699044154,0.8644825262099469,0.38668493721470587,0.5042523739663047,0.5878737941253138,0.648913264929887,0.8559680156679155,0.958826325616855,0.9754758973296421,0.7503298768658896,0.633369359293812,0.7935543664542013,0.6799126501020902,0.527375345666664,0.6521075599978134,0.7260644997227723,0.5735228897954806,0.5859643750889465,0.7328508108897426,0.7662550661857658,0.6670681351510319,0.6628649223663874,0.5920452419746991,0.5346609655897973,0.5049737180980278,0.5046514688108669,0.49869412551400716,0.4751006722333146,0.45867920601958173,0.4457368978482995,0.497873235844161,0.4257956797119447,0.44713849501958514,0.6193438999435853,0.5918753437073925,0.5546561708707747,0.5854073302111199,0.8114594285481554,0.7402435870615474,0.7240639391139151,0.9515427553860866,1.2580152690488902,0.8668052674980924,0.7002532712859884,0.6554023745209704,0.5929619876350433,0.7923019911080719,0.6147654582171123,0.6139557919270512,0.740187479882647,0.5027444153934252,0.43563734298684065,0.32648255382283653,0.34384713500710895,0.3524884681680773,0.3279095725462227,0.48881183517688537,1.3942538252135248,0.4189659357417024,0.5050256133767603,0.7254236640684458,0.6364707895627219,0.6592063592869716,0.836252907340512,1.679791872056665,3.160487906228293,4.215047042640721,5.633445946162238],[0.5074831529544743,0.3851332210480508,0.5013191619466066,0.3810801283579654,0.3936546442447449,0.3894851369015478,0.27296514268118,0.21870456947143713,0.2003866998259715,0.17109207358013698,0.14148462886153138,0.28857915215302093,0.18956037671216283,0.2215329952581624,0.32932508209292616,0.2679528151254652,0.3827539450876213,0.3939904264575227,0.5037085340419659,0.47058945643643546,0.5440819217868832,0.5476612483696357,0.6191209858848654,0.7900996989673796,0.551696546566182,0.5391098901986382,0.4827237903036621,0.3870989167931436,0.3709890880420017,0.3397304587179635,0.35924157975940535,0.30354152423970643,0.41201608395416184,0.38365436096021976,0.33914617879334547,0.3346533479873159,0.3333795601204715,0.3685403741843991,0.37349022048980773,0.45624759057068953,0.6426467748033599,0.5133246629714732,0.5067375292506514,0.7765488506758773,1.1107932513853302,2.3093475644389936,2.1708281913058305,1.1210502031097602,2.8787004674590793,3.275502104936667,1.8239301958461034,1.5440188420150316,1.1998166459636617,1.1425652721490063,1.144244610655536,0.5873651232810884,0.5373794968669616,0.5766297173282142,0.8518475617498018,0.7299869140739617,0.575937281306725,0.598193595858312,0.5749711377079735,0.6517783593681185,0.5238188103302694,0.49311829708231925,0.6549015779388154,0.46913624453634417,0.7696456383458534,0.6528583644706872,0.9233806361554387,1.144956196785275,1.0068980354127328,0.7038714598554149,0.5857442839639325,0.7762497112953696,0.45766288584793147,0.4464540922178316,0.3781338450311507,0.4193423581094418,0.4026740720572434,0.40804014102243064,1.2589394393744875,0.5236586735041325,0.6224847066389662,0.3668218762221728,0.365545566066751,0.41305937939645143,0.3549309893838184,0.43302781834719306,0.39885484753631545,0.6248433230727508,0.4156736667711012,0.33892053344323986,0.33002890230249415,0.4290807529187641,0.45214364688227815,0.37989993057337007,0.34647096336465605,0.5846556062919471,0.3603065730485986,0.5008270905782914,0.4482355282444131,0.43741448693262647,0.45126948941325945,0.44243766544003343,0.5659241495585849,0.3492680565852252,0.3453578190967924,0.6499790629060567,0.26232707001562483,0.2557176477322566,0.2556911324464699,0.307595742371642,0.3285604271943511,0.35258939487596963,0.40653862349195524,0.4127869669741078,0.5251757801970568,0.4900555675453884,0.40869417936605107,0.38405484698297065,0.42616960041637436,0.3123157214972892,0.24861855492983317,0.2691608860878949,0.4048949876945978,0.30823984365771,0.29518918237507785,0.3366502299835446,0.2898337891595119,0.30641516468183233,0.3032968211039523,0.42007374928491664,0.3698578110290613,0.34983536217769867,0.5655240733198917,0.39344049786668267,0.46788661075589016,0.3801179254820735,0.5916578453764186,0.5580883114479477,0.5075866078774575,0.3891010504108361,0.3559983462308268,0.38887228732761936,0.3295953818519918,0.3438250171695399,0.3388313295363343,0.30933839799580054,0.3811274734431897,0.5140786254412066,0.656634770008748,1.5058000998944379,1.1407751896702811,0.5504041526812878,0.388480606266059,0.4278797994785198,0.34434760208301307,0.4152313052186442,0.3795097197342437,0.3807876180437528,0.34549489177622467,0.3750857019367384,0.3990797370965459,0.4790258477018285,0.41070016432629775,0.5387800251103863,0.5735852081845332,0.6155312925674282,0.4228424319043217,0.36337485607185716,0.3406162851679721,0.35798592479201874,0.3466417238266792,0.40982894808266856,0.3986289603001467,0.6230224143358508,0.4056323488412406,0.44035176237617535,0.5328046538838781,0.36576889852099737,0.3804960611340259,0.48519713903237816,1.1983124299108745,1.6065854946945604,1.7176575226980728,1.7616960129812607,2.1944291433127594,1.1903493348176692,1.815749607533239,1.719650351994391,0.6100834766597143,0.7429464454421453,0.5995721910617715,0.5107451500592614,0.5403566845425389,0.3454661941428625,0.3472644998798258,0.3905015784893011,0.32738232777726956,0.3600996559036468,0.3170680884278619,0.3499628644549956,0.3792546877550675,0.4229919124028904,0.4989367395705617,0.4552972736786403,0.5270047040308331,0.578211095779965,0.6207921582486075,0.6316832894170579,0.6945660943659294,0.8681852286292728,0.7721171511052057,0.7525039549774077,0.9379933521624476,0.6645783644245404,0.5400719484803301,0.581329289966857,0.5257496608109726,1.2202934771189857,0.7624491513085255,0.9000775941336805,0.8048406397564131,0.6419894638371252,0.6558175343152792,0.7383990336495612,0.5441527364299618,0.41877451844248514,0.6631442818352072,0.6165888482686549,0.5616447983186758,0.40919748066478084,0.9637078323935653,0.538309182628403,0.6204368516020271,0.855037065973437,0.38384520864826127,0.5082230023119502,0.6078559582856156,0.6718097519957376,0.877300696340339,0.9897678938893804,0.9970568725951835,0.7639401907770016,0.6549808751389553,0.8221584307522255,0.6859424452083882,0.5350313891082512,0.6682083332719398,0.7362249265400067,0.5853088820321706,0.6046686977442681,0.7574658791393619,0.7843549888803315,0.6948957603913803,0.692392841016462,0.6090001158419478,0.5512870011925115,0.5177115462098956,0.5196543932726921,0.5107646451260974,0.47976596079183625,0.47046222668838156,0.44759266722641444,0.4950665479237088,0.42128519857134483,0.4440660118719795,0.605608517814455,0.585756770567715,0.5427637446250364,0.5838688001366039,0.8013692762413382,0.7345711265760855,0.7220321571653493,0.9537494278386859,1.2642871112548533,0.8676763867347451,0.7030086631259961,0.6514618386659284,0.5965962790250099,0.7982226188506607,0.6188840406500006,0.616390652663675,0.7426034737934444,0.498382741524057,0.44108863974348345,0.3307508569788488,0.3521794131944234,0.3661945908399169,0.3299886862586564,0.5136184300777344,1.4262654618670818,0.407676895670724,0.5245863460805463,0.7793473595306533,0.6098136056954635,0.6771343159470304,0.8616139194235638,1.7561345587878496,3.2279969469006886,4.419682299122885,5.929177493413573],[0.5367494353345857,0.45779435988336586,0.5580035018695131,0.47111396467057165,0.506676078079936,0.44214197552466594,0.3769003965109207,0.32946508307985883,0.3161514404003816,0.2984621455968159,0.28929929272732324,0.3917350644570425,0.2990136764670307,0.3116632299299942,0.38963095219148525,0.3576756612761606,0.4526196374241762,0.4577009978750158,0.5993575382994563,0.5582768254115977,0.6530288989518938,0.6396779429794919,0.7617086390609533,0.9770891773882194,0.6658148288586854,0.6696572605034186,0.5916790522225722,0.4885873848829193,0.4412657108618298,0.4025767545042214,0.45434407571911845,0.38962796220643725,0.5597046745594298,0.5119842180747941,0.4302148816246371,0.4109354708727413,0.4009937911762803,0.4614611688530512,0.48433472521653376,0.5525706150369618,0.7256917899964078,0.6079394264292607,0.620464403131697,0.9235209126346091,1.2616466253616263,2.419049820066882,2.3201736386495497,1.251474913416759,2.89806323104431,3.1858802119009884,1.8984371150301371,1.5859184676952334,1.290684372879726,1.2374002649129938,1.114557551527943,0.6755693302459996,0.6634120995531774,0.7128328548148771,0.8936842473550668,0.8791734887733719,0.66577049033392,0.6761530541768538,0.6743851773328591,0.7508526769585265,0.6434447505248698,0.5931326949177976,0.7542220181160681,0.5487999469377204,0.8786088676389457,0.7304778269917026,0.9348600767870944,1.169538690699276,1.014935441967595,0.8018430964815164,0.6761194176391736,0.8996226116880847,0.5764040888594697,0.5674523556174091,0.4891710208666777,0.49998498989113427,0.4761033424857067,0.4780258021184498,1.2890998342065485,0.554965823383858,0.7361499519320748,0.42251268863027114,0.4544467501055038,0.46912535996966837,0.4380262161200129,0.5214569327133957,0.5211549994093947,0.7461676599848119,0.5634213478743806,0.5100338754066567,0.48245876962725026,0.617124045764414,0.6044638556992821,0.4977609525279473,0.44071992878682714,0.6328932260577564,0.4237998081399481,0.5303077518430954,0.49848512368700354,0.4702030116747026,0.4920573399106776,0.5130003071797908,0.6083159785557225,0.4655504468525642,0.4584592671885725,0.7042131937390437,0.3925889833433286,0.3780155658677443,0.40417274262416114,0.4061388372527542,0.41855427163655246,0.4632259156364802,0.5176157827182115,0.5535431838842161,0.6937185816545691,0.5568618487465761,0.5159463007593055,0.5328039529600862,0.5863364601341828,0.4489278967250206,0.38860752981674174,0.4188978512600755,0.475403661841584,0.4077024211832705,0.4316853314330856,0.4472316947989232,0.43306295764784747,0.432248649699141,0.44404481491370745,0.5128947301094449,0.481935192775201,0.46721658504741853,0.6204299000686176,0.5091802182666708,0.5342767928262275,0.5075750562475319,0.7309542928473258,0.7670191166711715,0.6487233488567689,0.5039218905308717,0.47498175673304033,0.486434226377697,0.4364264914810066,0.4300405372724092,0.41887415166530717,0.398875298067038,0.45414687952090915,0.5469748411160986,0.6572400433096751,1.5407753214349615,1.166533224138593,0.595128407240934,0.4504845266349725,0.46999765993837994,0.40814119672288307,0.46495248745629014,0.4694167067864739,0.4645514082941273,0.46173560026204685,0.4848309837516986,0.5170860323845802,0.60867825220168,0.555205506505693,0.6879373251614453,0.7130127558735072,0.7403030520317236,0.555480438947231,0.4980883203555816,0.45082211401346156,0.4561691334678191,0.42933029771217207,0.46340217803316225,0.4725949410504393,0.6359990719205291,0.48131316158600745,0.49477370677829446,0.6169379374335935,0.45323581351031933,0.49387204576158733,0.6403466369524085,1.2845527775709673,1.7323226690624278,1.8293385802439455,1.906606917579201,2.1943770021986984,1.315145815236555,1.7970326818049323,1.5751985894218106,0.7486239363696404,0.8139123487225621,0.7062204603138497,0.6307589913831704,0.6381997464699232,0.4733505492366722,0.4923965300848358,0.49969259377555775,0.419885616409699,0.41670217993613484,0.41236313005411707,0.4313081800406888,0.435769867827415,0.46407737710020647,0.5689017308352781,0.5111243976972969,0.5597931854463837,0.6125573045750691,0.672587361147772,0.6679979432033841,0.7201789049415454,0.8890155579342229,0.8233605045422066,0.7961478250267212,0.9623529563433383,0.7164930015533524,0.5957745080289234,0.6403820966702831,0.5875864236636874,1.202003054551749,0.79321836465037,0.931420366240144,0.8381265296081006,0.6618221627118451,0.6733074846055868,0.7237399148978949,0.5958251411930473,0.5016833703429273,0.6668570501369993,0.6384653970169061,0.6279523465479726,0.49170534226636725,1.0062882223613654,0.657240384973118,0.7221140557710413,0.9555117879962158,0.5040548469381461,0.5832696123730682,0.6393897651933949,0.6584418648121378,0.8824931846092176,1.0012109836740393,1.0198073356693982,0.7712513734576214,0.669612110265825,0.8337658966749169,0.7077069790435274,0.5602909461453847,0.6777018014064431,0.748881527099943,0.6069156664976961,0.6229385882500621,0.7668854926593445,0.7976969986533701,0.7080743742647828,0.7060188799537342,0.6365883773067201,0.5694483192344234,0.5417582228762836,0.5357168649891334,0.5451458829123741,0.5308431871529754,0.5235403570338026,0.5121793625115685,0.5714131111043902,0.5226809919416225,0.5510961372042371,0.6941975479092771,0.6747628023676144,0.6592452090867201,0.6992548133229737,0.8991270521302477,0.8391091688792158,0.8078361709514223,1.0488656307890514,1.3349033737319485,0.952527742911325,0.767059135452138,0.7007062228191662,0.6441537879294122,0.8357783059564476,0.6840952901971774,0.7086777105094925,0.8362578129033708,0.5911149354210326,0.5279429300378998,0.4634521710554458,0.4788876199565198,0.4422098539579871,0.41019182046545893,0.5455093723845177,1.4527519393129624,0.4679703631878324,0.5437370093584574,0.7861657795482864,0.6753278241486055,0.6687311418500343,0.8601999167913148,1.7135096517466866,3.2270330502485147,4.380791679239754,5.720011856587495],[0.5217561121735116,0.410247398565444,0.49134975336750286,0.4098027243558117,0.39418097668752816,0.38922167686311787,0.25700335760965337,0.26066941803981486,0.2339167656784247,0.19015728979383498,0.191442221983526,0.3003968171168647,0.21243546612718928,0.23120720358944757,0.3572970870078214,0.29519330035542934,0.38514935867971695,0.3906357800773418,0.5168072103091886,0.4683598910868011,0.5605358963791028,0.5549167805412125,0.6545118369929825,0.8451470686560275,0.5721348965780035,0.5636427756972539,0.4792043404281738,0.37679815916474285,0.36141415881996986,0.33725243830973217,0.3882006633343,0.34116051966703836,0.4505542120833406,0.4232608174985423,0.36459276661153517,0.34761768606968607,0.346706805243255,0.37611791638525943,0.37515553655859046,0.4451423301002999,0.661751982142425,0.5214266726471035,0.5244655277907584,0.8701263978581094,1.2222914502929296,2.4223071625150525,2.3705521840229875,1.2709461013871255,2.9557487148637684,3.406112874978723,1.8943429842881536,1.6126801652524176,1.1993218902769363,1.1102190497963627,1.1073341610980254,0.5853606444824272,0.5603647149933038,0.5991406390468728,0.8708482425328958,0.7826752676591476,0.5888004612116767,0.605425890435601,0.5908787716705224,0.684700729639584,0.5463659438016206,0.503163129463913,0.677933597198258,0.48127675982961693,0.8043174693854873,0.6699869242768677,0.9097603944452749,1.1684344490003176,1.0090060704792494,0.7575707053289815,0.6156921349268673,0.8334406622115842,0.485488111904268,0.4852595421843405,0.4008806654139333,0.42721997777529674,0.40105202666690504,0.41013671579175154,1.239326959087164,0.500274421137507,0.6466861079810491,0.3627250367263744,0.3722833327626919,0.4233210254867488,0.37079278309742775,0.45539928425348025,0.4375997743738832,0.6592464896279626,0.45989119580174864,0.40889552331899537,0.3868045911124295,0.4897056242927402,0.46842205719776336,0.423058943176222,0.4014197565257444,0.6544720870037843,0.39777149363484465,0.5624453368818361,0.44991836480055286,0.46646217722256567,0.46762368052397,0.46149479802511983,0.593842438537225,0.36177051449803727,0.37057170652413113,0.6706030358483829,0.29280638078177373,0.27203887620853556,0.24982379606377944,0.3107066668549678,0.3165254181233481,0.33278567503946177,0.40776727754058345,0.4294661038828339,0.575485363057585,0.5017364613525521,0.41590303531507417,0.3897249543379161,0.4390194105176255,0.3202589822056563,0.2813797072211948,0.28934055364367245,0.34434552947875247,0.3083187732965851,0.2907985988334573,0.34751998748930185,0.3123779640883676,0.34410834709312793,0.32160274887647666,0.4283958693772655,0.39859462604562196,0.38140923812995786,0.606968838416536,0.39174621822467937,0.4474085455807691,0.38666049216106985,0.6368773144150146,0.5974809179861484,0.49923990903251914,0.3727920560078714,0.3510537038255213,0.3734119641057728,0.3064056943097044,0.3292607916133145,0.31062504326106416,0.3276916652541611,0.40480672022948494,0.5226645895042752,0.7563745551935678,1.7113226639053072,1.1863377539107793,0.6120353043658622,0.41807821089829506,0.44620919471118126,0.34722333396980026,0.41596874281335416,0.3646818256060221,0.3631155785877676,0.3385458152166867,0.34798393980054143,0.4042119052691179,0.505221255816592,0.434589219522983,0.6135360101023222,0.6687938915489271,0.6751494904555061,0.45761899163923,0.3622009399085792,0.3406701168357209,0.3548091175201219,0.31320305983909574,0.39573856785356254,0.3948949947112774,0.6286781633562761,0.39076714138317625,0.42693659907588927,0.5132730161303289,0.36023779588168336,0.376157195102066,0.48131731219814855,1.3184338996052098,1.627710201586984,1.7535822333160676,1.7732611779862153,2.220887218387552,1.2128197223853068,1.766690160770047,1.651531425290203,0.6698194347301545,0.7765979282469173,0.6447677371936723,0.5175356619117442,0.5379278832863629,0.37681643568517664,0.38469323932531685,0.40760403377821663,0.34351034838434635,0.3808107932524522,0.33360493516819256,0.3767022382542711,0.42227359724916474,0.4590251625357115,0.509123421301119,0.4956200941599387,0.5702080458348739,0.6011895704411871,0.6578720458870116,0.6752242256145694,0.7313945146134745,0.8766082734168542,0.8162415998285896,0.7826750281309921,0.9800584825256213,0.7044948049258012,0.5852240696663544,0.6367990734608254,0.5919493916495078,1.2417010263653268,0.813578385547148,0.9672759407480628,0.8420034991119459,0.6714922704073558,0.6877696644935403,0.7182617521173565,0.5819491796874278,0.44010838260567187,0.6784892939342891,0.5973469159655198,0.6067438996512903,0.435018219950558,0.9270569727013718,0.6228102599434678,0.6803716180016798,0.9119915946812011,0.4201988718598201,0.5130519479414849,0.5991995558402563,0.6798309708640596,0.8946721865143984,1.0180176039505697,1.025053537063997,0.8050159852489416,0.6856101230991074,0.8473188397171911,0.7401218371161524,0.5859691377989403,0.71060179312279,0.7813900570792609,0.6298132629897347,0.6605451582850274,0.8319266299522832,0.8418279160771125,0.7312526384650747,0.7405731751314313,0.6591768782395726,0.6041182749017546,0.5741096756726112,0.5638264623624711,0.5623851587601556,0.5235484521229238,0.5247264493708338,0.5000434192369269,0.5462525377237473,0.4609970336736101,0.4787680999430191,0.6574524082826372,0.6220354427144861,0.5925291851167707,0.6213169535054172,0.9048110084737987,0.8082352379116391,0.7844265779943971,0.9645095094011618,1.235198302815278,0.9733796160340955,0.7562478944586789,0.6824300817088488,0.6178929151601535,0.8165022124787926,0.6693420395282783,0.7025925825905507,0.7912443012008317,0.5536923279453444,0.45351182437310833,0.34708008425769443,0.36289697964696843,0.355362099078266,0.36271492571096453,0.5340179205084196,1.4610647531577492,0.43636354908382696,0.5551619128223865,0.7601386619751282,0.638503893980863,0.6803657353809291,0.8713114903510256,1.6454364147150962,3.151752370956262,4.274258838928575,5.31282939151284],[0.5043527985509173,0.3478215425187349,0.48661245782590956,0.38077212518758824,0.36317725620668184,0.3764474103892615,0.24347727989477547,0.25435376584186253,0.1964666680223386,0.19548165065524242,0.21613346365792074,0.28238475093163845,0.23333510206998298,0.22817412895178982,0.4144685982464996,0.3253272234976649,0.37307582095372616,0.4111413350736646,0.48120054431987674,0.4679702956965048,0.5305958429861458,0.5356812167321072,0.5801837384889147,0.744543093214366,0.531815367056784,0.5056045396855106,0.4495591723170759,0.3777925451709765,0.3895263250853497,0.383288076629053,0.40413758043184017,0.3527776947677818,0.4312249553843321,0.41203877862009514,0.3919752852720885,0.36943341315178146,0.3665709419005458,0.37290890046788566,0.35757832295328573,0.45246602283965626,0.6253684255156213,0.4900827195908724,0.4946839815926996,0.7370570722050065,1.0699925341820167,2.2683833815281185,2.117475569939014,1.0779360421474489,2.8516931763245683,3.327867159560249,1.7843726842467502,1.5242719423651643,1.2076777680298096,1.111762588657147,1.2096824366223682,0.613217751278351,0.5144907630536839,0.551748935876317,0.8798464674719693,0.673408531625411,0.5534597641564794,0.5825712441660262,0.565680681955411,0.6540020776783765,0.505408035429746,0.47235742309368484,0.6585585583933163,0.5006436669489347,0.7676521954889286,0.636745144889752,0.9370413935366159,1.1810928627402302,1.0220973318720301,0.7198419397855593,0.5910369565518805,0.7946435269080827,0.476266447455175,0.4736552097053293,0.4151336334529765,0.4368814861971668,0.4214541650231481,0.44234498291222407,1.284368565692562,0.607988106738016,0.5281214541955643,0.38803100777374316,0.37383482145443514,0.4440400300759725,0.3860575170673657,0.474649288591015,0.4256801630085027,0.6161526759664524,0.42474942357623224,0.3743993885375638,0.3669723676743137,0.424098957537747,0.4442863948426837,0.3887728502770827,0.3875637716229934,0.6214987166110217,0.4033058658558454,0.5753657875287159,0.47691035588800773,0.5034573596361412,0.5143953701714545,0.47865382370778153,0.6242715276747486,0.35468065854238456,0.3433522484688435,0.672511527834726,0.2820181212036018,0.27185784294382614,0.2315994244046297,0.33416699513359416,0.32392034272148884,0.32215038495429205,0.4048969891450242,0.3870696434497642,0.4901232296861326,0.4749688134536689,0.38772120646448893,0.35053572028370245,0.3775606081236078,0.29360383744540486,0.2659322593285663,0.27100976952133987,0.3842983006221355,0.32735796569083053,0.2784569595730584,0.3597136092291725,0.3032857689237039,0.345419286307695,0.3236819765856361,0.45998115080306884,0.3932865388184364,0.3646891061100741,0.584951587355121,0.41221251669824255,0.4960926852224572,0.3843363524503385,0.5869813160664371,0.5007118409410152,0.46555258961460405,0.3696788446912801,0.33259657281360716,0.3582710626978794,0.3115845616198426,0.3469817477363924,0.3521076501969047,0.31567598004170716,0.4045893168184563,0.5258631026080932,0.7638363338993756,1.6715403714373913,1.1709763053626248,0.6124957681682807,0.43600089091550864,0.4784017203779086,0.3962711019371235,0.4730708988692056,0.37867441753705966,0.3650993913669466,0.33949447755938555,0.3542353259073467,0.4049389266860819,0.47250702434249736,0.39933152226989893,0.5124205619563668,0.5675414962483256,0.603452900590331,0.41456672518108467,0.3599571341581872,0.35067255054992164,0.374134864753641,0.3688893098407066,0.45493556882338454,0.4255983507169172,0.6767317323298098,0.4482824129142326,0.4806738005451676,0.5367965013153568,0.4007319301448814,0.39771610618314723,0.45662169106696116,1.1915929788653437,1.5145619205941727,1.6369856064220194,1.6603408146668772,2.197637380674427,1.1336476775310884,1.8515076849523213,1.8569954018684047,0.6038689100692866,0.7629783685497693,0.6025049632283634,0.5121784096227183,0.546646434178328,0.3626993779098982,0.3527994908280143,0.3957507990200418,0.3424929826619948,0.37541394696995617,0.33437498723332776,0.3664669522686102,0.4066797208703634,0.43656427730941777,0.5063159435496258,0.478030789063612,0.5482860698607425,0.5916864503068887,0.6437185216996693,0.6574810216554605,0.7166718863947666,0.9200314089698446,0.7904356547668812,0.7642394354990257,0.9474832161778854,0.6980451177282327,0.5680900029284078,0.6003755807638284,0.5514702824152977,1.2671367773387077,0.7838937244140176,0.9458273081491895,0.8121691308436652,0.6704938453138407,0.6890570661505379,0.7629663996499026,0.5727826251830257,0.4338413944059885,0.7115352000539906,0.6231542373590592,0.5870585434178779,0.43556326869297113,0.9517553367509384,0.5323097413624432,0.6355127911873176,0.8511964938915966,0.3973691030074587,0.5080595692772777,0.6165948822953748,0.693476107662255,0.9018033066676612,1.0248988997042066,1.0237213082701413,0.8013196694734436,0.6743862627169253,0.848911231759437,0.7175367847855489,0.5606441244136552,0.6960007028803128,0.7562853263419184,0.6101480771667853,0.6373129360809537,0.8002150770145721,0.80139280958081,0.7215605714694183,0.7264264707149714,0.63759293661155,0.5874699910634869,0.5445972296351991,0.543491092286996,0.5438746059067663,0.4991198725432884,0.5144826572827136,0.4760487567262027,0.515788632744856,0.4529352857601885,0.4655596672154675,0.619122429008084,0.610048096852166,0.5689397992858117,0.6029963499199552,0.8238548605834263,0.7508524765839005,0.7461811467603991,0.9024604374321376,1.2086630570047232,0.9239392500038167,0.7387598799680948,0.6797174849262683,0.6259700824094135,0.8332667834097777,0.6590064414905078,0.6542462181969008,0.7587830493770036,0.5144028290949932,0.45473867763580866,0.3363307703336623,0.34294574436242,0.38021016019489634,0.3533159397313664,0.5421417486503094,1.4806839592611603,0.4066973447612293,0.5533250097412676,0.786151389962714,0.5589040240457959,0.6787605899905828,0.8759186064117763,1.7939254458067324,3.255049008630835,4.506444399398893,5.941943881589152],[0.5846074939631057,0.3898848693072065,0.5158396430979821,0.4008664489771532,0.3856290368580421,0.43141535169138406,0.2829104272510574,0.34519092448688327,0.26013411507647183,0.28026607419256416,0.33259957142627006,0.4127188995752101,0.3672062178454883,0.4224272332002805,0.5808230478487427,0.5014998808838013,0.5268401454098762,0.6081104843571685,0.7119949031594844,0.6671523332119296,0.7579260354789711,0.7175167773925499,0.8466825785495674,1.006468980229011,0.7267812580178841,0.7368589131843836,0.6492222951382751,0.5640194089521317,0.5522465404035032,0.5207698235800452,0.5964554853249199,0.5219130157800538,0.6398597939987927,0.6138867770892259,0.571370777256893,0.5436993952989083,0.5061809591782662,0.5219583365290844,0.514314714038775,0.5877166752147718,0.7092080622112502,0.6477310718168485,0.6469595737112428,0.8345820226943935,1.135750704046222,2.304134064631805,2.098623336642265,1.0739276735895973,2.8229878477839128,3.1715208791660987,1.799490165892944,1.4824109829783731,1.2704055698621115,1.242581800673564,1.3059458321353894,0.7186734254275178,0.6440065563279816,0.709245278967524,0.9349116667717408,0.8180225627863054,0.7399636292139858,0.7676987671766538,0.7634502760364424,0.9151987165378415,0.7428725246602588,0.6850097266788353,0.8771814688214713,0.7212134487121772,1.0145387967577368,0.8077405096056249,1.106022188601879,1.3954081609573548,1.1649110234277336,1.0036186444424582,0.7930669561794262,1.039394501822504,0.6971545462534068,0.6888295168153297,0.6068358861132446,0.6282682562689517,0.5868673842816918,0.5706783614667593,1.4290084995756613,0.7582267431714371,0.5972178843370181,0.505973050982071,0.5245446834864429,0.5963302731573603,0.573223089431515,0.6610339496501699,0.6301441552159556,0.8088363233394358,0.63355820403098,0.5902202360339366,0.5696681574337392,0.6224298962885016,0.6150948775785429,0.5755928446246461,0.5650695017677486,0.8505153441798762,0.5591863301892952,0.6728627158716658,0.6130386449672194,0.5854148914025259,0.5744525784860721,0.5253913884146316,0.6695749316396107,0.40225961777789015,0.3880087575898401,0.708663658079805,0.34597677113089426,0.3188940052031438,0.27289458094085955,0.38197956103286035,0.4287364602685519,0.4380564619817985,0.5599073910760113,0.5806234252951086,0.7733817133077164,0.6731202327110671,0.6306913103122251,0.5929149135960456,0.5650054229626433,0.41601232199910315,0.3081008262530733,0.310451100866496,0.39769902747564206,0.35308800004685365,0.3127598709445787,0.40200840988445263,0.3407234362042608,0.379670008164204,0.36115843520498175,0.5043110866304243,0.4116492741469797,0.3818446338946862,0.583685298661617,0.4346036856402259,0.5252901994433518,0.46986719450166636,0.7181146356338903,0.6841493124291782,0.6393448059003096,0.5353039165576435,0.4911906808331774,0.49192705981088414,0.448321799691494,0.4603007506348637,0.4230399205312491,0.35784649357962833,0.4772611159126345,0.6316607007175624,0.9624658315256343,1.9956494793177213,1.3356211680672783,0.8101072420324286,0.5558459380809534,0.5827040791163403,0.5145854017847966,0.5414871100267125,0.4499572848099935,0.4831733977912874,0.4508199184510612,0.47913322087054805,0.48452004968488316,0.5293781528148138,0.4683823367734268,0.5658472001049746,0.6006918803026278,0.6392382256091872,0.4435949822181188,0.41818466548203514,0.4429688883101974,0.47783322704184744,0.47979983027082557,0.543964517030491,0.5353648640167533,0.7556583616923074,0.5660945904786736,0.5834506619033709,0.6436863152142742,0.47316612830693805,0.4666377270878049,0.5323642281658855,1.181311862737768,1.5504696698450884,1.6577673959882,1.7300170839376137,2.1833189348995075,1.1709596996570486,1.8551588720752246,1.8403721767730665,0.6485453071473791,0.7765581740307861,0.6258007798228962,0.5427868430717092,0.5687324199746984,0.39000779984684136,0.38010920771877327,0.42660379186384817,0.3932673983410395,0.4445175379123081,0.38621005421547294,0.40984437922522005,0.46616732350526374,0.49245895146149776,0.542451038171853,0.5330847787986994,0.6255207497908652,0.6420470472515478,0.6978557497821409,0.7298529925394064,0.7833810729678309,0.9782219967864657,0.8612436932342484,0.8167195710254583,1.0101760647270717,0.7555081675109809,0.6303309621385894,0.6673508920657032,0.6187015371678377,1.3318085517747897,0.8501883636495088,1.002466185239773,0.8476818161024272,0.7137981485978107,0.7389403954424583,0.8255130313418383,0.6110174165022483,0.48770163540822226,0.7770585653421379,0.6654616145264587,0.6200910242695502,0.4803677288680933,0.9727787322784066,0.5607655802303513,0.6491800680055859,0.8646098249318201,0.4338485602935672,0.5559275939445837,0.6666465298947011,0.7569982498786352,0.9624794009213292,1.1000804526099182,1.0910027099543023,0.8708804086712728,0.7553183862668362,0.9281875014475686,0.8011976647835122,0.6342082856060814,0.7960987490217896,0.8529011896721234,0.6984412568807661,0.7406310586770737,0.9176309699702184,0.9008626729199196,0.8161875825053598,0.8381698535857158,0.7318011005939453,0.684729902552571,0.6306393657762126,0.6292452651282607,0.631405674224592,0.5692035457739056,0.5822198729780954,0.5365428849077059,0.5670435029513753,0.49522211379692677,0.5070840538055452,0.6586755834853608,0.6394142244202147,0.5900713936031732,0.6350139263626529,0.8735839700347249,0.7944650918229658,0.7861707550521269,0.9256125605446659,1.2149938504112636,0.9951883442293905,0.7903507215613627,0.7189043147491064,0.6661037310445989,0.8621712179776727,0.7021314600857507,0.7105710874222315,0.7963246571338274,0.5436504416330612,0.4728925129800849,0.3678078755141122,0.3744173132112831,0.41556447203795266,0.4264615123476068,0.6127797891353121,1.5091310524808943,0.46336831398971917,0.606481649599805,0.8490568532017039,0.6408936223691178,0.7021062646928977,0.9131235914902148,1.7860770669800043,3.2405522945498664,4.57387774808964,5.801150059670154],[0.6069272090187506,0.41996772382636255,0.5036537462990336,0.4211572248121699,0.4281650462466662,0.45404552720621677,0.29901606880157905,0.3249713753881053,0.2585086181574747,0.2557024623388298,0.27946104054106247,0.38273303579939144,0.31060540715845125,0.3486647145829873,0.5140887100431016,0.44941634116906504,0.4655438616437424,0.5351342284887666,0.6464523179949182,0.5994452216358328,0.6971028472701497,0.659295020186205,0.803891811781394,1.0044325206576252,0.6746465077074849,0.6804294321795321,0.589308437598907,0.48482626321207395,0.488306670671048,0.47713299593799907,0.5602891863541267,0.49611274679341505,0.645541319173518,0.607692372398106,0.5452825593012881,0.49827972752697186,0.4684387544728474,0.46893546353264237,0.46799955347431677,0.5384741898385157,0.7047597794774355,0.6076498609613123,0.6022589739781203,0.8566058684888893,1.1853737169534364,2.395681230112541,2.2586172137393934,1.15501704720468,2.895926201574003,3.2609556102011097,1.8573565730810289,1.5129411910613617,1.2349940928437193,1.2038523829047196,1.2406536335517062,0.6703459517251423,0.6167405163746768,0.6839319480948028,0.915240025837879,0.8162633413197157,0.696245998307698,0.7389081232703847,0.7412944239765427,0.8672029555622959,0.6967498285563939,0.6464742433381581,0.8416379233093269,0.657277743844684,0.9596143409730347,0.7378964469907134,1.0004612673285438,1.2911777127567319,1.0866712010096946,0.9626298932013094,0.753810598607544,1.0340724759670528,0.6621586742915877,0.6803735529960662,0.5801651086178798,0.5911678550423025,0.5492116021871004,0.5259663329792117,1.3737608437690694,0.6654525974080889,0.6095468392323691,0.45529973394334544,0.4745496371651297,0.5649363761140327,0.5293778968149255,0.6373912891479913,0.6152498447376115,0.8062330324374118,0.635448380302265,0.6042333685659517,0.5636867985159205,0.6488274694634452,0.601144209034748,0.5792302624782584,0.5498193154755847,0.8285195228755686,0.5377848764786716,0.6403870077589071,0.5698332177323597,0.5413300162494232,0.531727290571744,0.4922590594893689,0.6505560426877889,0.3663066880613763,0.383804150126255,0.7027139148930801,0.3243251820901288,0.29359925963693706,0.2744041526357533,0.3529109789385227,0.3825156950186659,0.38665415256145325,0.48430616850829994,0.5168200702712571,0.7035988954624496,0.5889897182846426,0.5426210658222796,0.5022120953010156,0.5090368683479823,0.3871685922532736,0.3139961967436593,0.3179338001298024,0.3745900185232716,0.3501034589490407,0.3093911709656618,0.36741689300006813,0.3336508131813633,0.36485982023513513,0.3408935052830122,0.46902702671576585,0.41090406461427564,0.3839535309213758,0.5969001851973714,0.4058494231445211,0.4738010069400344,0.4310697787893021,0.6978329572479267,0.668494740022313,0.5811448307326447,0.45795719037413846,0.4241772016773277,0.4386946560293397,0.3808525791769885,0.40767878848181116,0.3705899019227669,0.34004730028959734,0.43410557830982155,0.5645833467465187,0.9029787564791643,1.9662628120044456,1.2871062186342614,0.7550583735196871,0.513642060391623,0.5298296973494229,0.46272472779046075,0.502665156169364,0.40484720048995504,0.4369970411098302,0.3892959561919451,0.4230572484498191,0.4249739545655415,0.527392109054318,0.43833102170029925,0.5853298327242006,0.6379362332887056,0.6556879198231143,0.4415083866497661,0.38354540286784705,0.3845670608486945,0.41529681447136885,0.4113663386658727,0.48943556229353946,0.48896013619182477,0.7190823592976372,0.5075807996773365,0.5199668192158097,0.5803786741026187,0.42092952225015967,0.4271839752763948,0.49832458897942816,1.2278177689944803,1.5724250312991728,1.6827748695525828,1.7442495616958542,2.1943002141259447,1.1965995641091918,1.8156414137075039,1.7483120733686428,0.6232774218636641,0.7691384203609118,0.6334036847523673,0.5225431250332151,0.5560251482603191,0.3813218657948326,0.39864438461603025,0.42300595258598694,0.37187497531917535,0.4035865306188898,0.36069271525656177,0.41045616840739096,0.4448137008842992,0.4641413160716339,0.5611781548576377,0.5388670661753634,0.5922525716922395,0.6257936633894916,0.7037511952474419,0.720483969765438,0.7563736828042847,0.948556826692044,0.8717975542722264,0.8318789716161532,1.0303729197417861,0.7758007672681694,0.6450943645144558,0.6850060544480303,0.627842154932621,1.333854961824037,0.8377011177232557,0.9809256661612401,0.8196683219811012,0.668810059187799,0.6986163892324659,0.7576461030687877,0.5935162592023779,0.4635689066787962,0.7352988656621349,0.6331266690955104,0.6418117869668711,0.4809377230428727,0.9464998477283251,0.6200017436941251,0.6907222173355012,0.8904522653843118,0.45576346857433747,0.5245211235077588,0.6126503477928003,0.709403708623249,0.9156787717083339,1.0661509813909715,1.047110303830216,0.8326045131578961,0.6991165642799821,0.8768666037565013,0.7635430945450125,0.5950805957157944,0.7504470061801811,0.8120188534440221,0.6568649528098427,0.6952197267069292,0.8756937998704317,0.8560089249968351,0.7728506107743455,0.8025598112081371,0.7139976414780645,0.6479154812656286,0.5916369249282649,0.582146151157862,0.6060582662782622,0.5535773701780262,0.5554460642897399,0.5312495551117318,0.5794784441137663,0.5041765529407681,0.5089161533201115,0.6969785767407117,0.6740140858381956,0.6338975877715289,0.6675795581655724,0.9601586425312513,0.8674967998142029,0.8462281005242349,0.9805092756266187,1.2271225406958137,1.0586880838780108,0.841250973831861,0.7405180308978568,0.6796355699544385,0.8944159240610781,0.7652206934895822,0.8001105131962762,0.8463557723384808,0.6126964014936903,0.5127977241410757,0.3798720663511311,0.3922334675849275,0.38941343564475955,0.38949833831685254,0.5838168817193574,1.5010308398020868,0.4327270363489314,0.5647874527596554,0.7805766199654293,0.6379187223678032,0.657471796394438,0.8635459911286125,1.6482928412061868,3.119712049408254,4.389762442281345,5.312765799124387],[0.5724517319992409,0.39349940762316044,0.5150902642544701,0.4404860597057036,0.4234397398781766,0.4422618527477048,0.29625663295106797,0.38318585302047337,0.3133114311458444,0.33346861199531214,0.3905791406246681,0.46708564548394604,0.40077448416670775,0.3665310053094536,0.538356151516171,0.4763528913357907,0.48000778798629756,0.5213733700137587,0.5837049845444555,0.5652596786931815,0.6213320989334323,0.6145036665789798,0.7009659209862609,0.8693807530283661,0.6226107874696997,0.6051311435437524,0.5345506696791622,0.47518248179249256,0.49074175688282445,0.4915026453745528,0.5491027194731222,0.5088726110385373,0.6213966707040102,0.6089342120675567,0.5446793561969292,0.5046423960130823,0.4915126296579319,0.47383425143926894,0.45503500486937026,0.5230896064524796,0.6616998249308708,0.5750361656507027,0.5661137709143613,0.8363456028216932,1.1698725389823799,2.3668366667117113,2.2796468572837494,1.1840937693426672,2.8998335255335004,3.401992511812759,1.8421480414444962,1.5209226940714724,1.229823492737683,1.1218448237099679,1.2379853797485978,0.66613330702125,0.5803465459040749,0.6351836481374712,0.9382476154761707,0.7731517412310684,0.6544142774974622,0.7030400449784477,0.7018449111547729,0.8004229657724956,0.6299372257780228,0.5894885831994857,0.7838138925923955,0.6268386319916556,0.8882413799945741,0.7114504484768804,0.9932550539254373,1.2788802185351915,1.0870840800313744,0.8804072621300589,0.7183717209404,0.9669328482580054,0.6221082507498747,0.6506071324430268,0.5576764823312077,0.5709588003044753,0.544631389073684,0.5362268319074557,1.3369816157344099,0.7004381155004579,0.5677947639014391,0.4860044265910643,0.4826209188157713,0.560843558287124,0.5216584447189204,0.6205514420652246,0.5788885138353321,0.7455501161881812,0.6052329418801298,0.584037446359748,0.5591057341413495,0.6224970685163865,0.6061672051962912,0.5845080249224541,0.5777807357227595,0.8142887026948536,0.5682740788421539,0.7215139921202548,0.6076503757407553,0.6131248136456057,0.5927414378061948,0.5398910008697464,0.7033878050180479,0.4353510833276958,0.4341160865621386,0.7200790598932405,0.38595044534788064,0.3724334881515487,0.33864459189935503,0.4045964838811655,0.421336523189633,0.4071655080550723,0.5032548133180611,0.47552760764956964,0.6174036011336612,0.5650733463380837,0.495052446105654,0.46171465687907615,0.46903264307427756,0.3854945917675289,0.3437322053917386,0.3513593044575781,0.3774900471886639,0.39361121766976737,0.3449925542887738,0.417874066681317,0.38051091830503475,0.4238323702525049,0.40933128501064453,0.5188726806394696,0.49061675503390956,0.46681848167199325,0.657038023404177,0.4671708704607494,0.5133242894186436,0.45060479090928135,0.6706522528044572,0.6080871966490327,0.531634595690259,0.4514679502237235,0.4282705286718208,0.45313425952940456,0.41326017892701605,0.45380612952979016,0.437563797894204,0.4345841415185206,0.5126224283745789,0.5947821050083918,0.97032234602258,1.943598813044091,1.223383692132834,0.7747795546350458,0.5663893539392209,0.5885721915193083,0.48998789995649783,0.5578416165800792,0.448928883837551,0.4414738074905345,0.4333894878652507,0.43465226217673103,0.4963035109280405,0.5211310814796479,0.48615995479694973,0.6342324045670432,0.6983551195461625,0.7095588612674636,0.5065768283140871,0.43560349319483305,0.4436060317202435,0.46852827964850136,0.4590621971065992,0.5206256142749005,0.530727289344047,0.7373332531143947,0.5457418493307401,0.5532086921686393,0.584915367790243,0.4752539088026654,0.4551155923055499,0.5073239302818411,1.2937772228220144,1.5537446414271114,1.6890857967912751,1.6993585719651287,2.225407353911874,1.1711012993591243,1.8077650467938524,1.8451640704570138,0.6877700303828292,0.8221606235832017,0.6569270210385545,0.5465789351645227,0.5621639539164299,0.4174337710319299,0.40328858694245145,0.4493135619411184,0.4207065307248754,0.4637301388279097,0.41443295271439684,0.4558836753576484,0.5036669263973838,0.5110793202499322,0.5685625561799377,0.5632776421801792,0.6187087072925703,0.6338298046050413,0.7024700781873003,0.7300650899535233,0.763682576476433,0.9478826189367584,0.8658620652389201,0.8383112050537427,1.0281843959571333,0.8113066219128509,0.6738221694487426,0.7011526622083997,0.6575115433538616,1.3817384301924172,0.8538940485817038,1.0179588351400215,0.8408134369113436,0.7248900318379649,0.7409263539089808,0.7601988863193114,0.668949700589629,0.5084837717522123,0.7661129364166108,0.639400419825503,0.6740882562955656,0.5166178412956912,0.9537801171367005,0.6139541677256221,0.7133379549613821,0.8913575030831127,0.4818813297095166,0.5493264892554772,0.6266222458272821,0.7356501643915543,0.9239979037583583,1.089715075952194,1.0668186512040387,0.8614920864082322,0.7560617316801967,0.9247434290553037,0.8194122298499137,0.6436235739362,0.8029162824913171,0.860748317569138,0.6944060042904913,0.7400990840195453,0.9169079353517062,0.8733431427025493,0.7955851753107709,0.826450974144449,0.7414692180810316,0.6896618996927121,0.6391832181251583,0.6311829999348665,0.6421550319198521,0.5844422125946127,0.6029811763530906,0.5704390597126077,0.6156820847526872,0.5468767977781996,0.5626454928833802,0.7270521324318014,0.7063302082035191,0.655141156954486,0.694667903620188,0.9904367418132353,0.8810201562830178,0.8639675204411963,0.968190049980263,1.2112598461321578,1.1222632677347602,0.8712552521958798,0.7619626222140597,0.7003548850544901,0.927023980132518,0.7937691719454165,0.8138070723211982,0.8401140332161185,0.6181842386598659,0.5109067408156378,0.3756334484570456,0.3882477426448064,0.40299605349379386,0.45131867422237226,0.6308256766951138,1.562320974124795,0.4618653926362271,0.6074754548916669,0.7879313686901241,0.6774385624066581,0.657446877564219,0.8843278544302512,1.6403486198423642,3.071973355034161,4.322686410719749,5.062058015882198],[0.6513766767129671,0.4052366069478775,0.5363377927650428,0.4472603366845891,0.4165399846190614,0.4635461467893121,0.29585278285474526,0.41075817000873993,0.3151727254056759,0.3642903869898473,0.4325729804861805,0.5160232508408088,0.4554110404408416,0.4285880582939487,0.6369166317673545,0.5700548386575055,0.5507378026483762,0.6152501106177783,0.6787718578114798,0.6573491418029852,0.739041377414469,0.7095656309940215,0.7847070343785454,0.9628004660554701,0.6716809555535719,0.6872658460456509,0.6123797635650254,0.5361621373415774,0.5702370863728713,0.5787147325993229,0.6578709438838731,0.618382062383096,0.7465788049640039,0.7321877980834639,0.6686604242603014,0.6124759074544707,0.5926627342152878,0.5560020502474402,0.5273832393504834,0.5842997258187904,0.7022600775710496,0.6525759512635382,0.6670142876165011,0.8303093921384439,1.1465215970971936,2.304412934340787,2.1533263941824154,1.0952929701709497,2.8289705476563216,3.2733567819885834,1.7476893871919092,1.4709844003237935,1.2395956093241722,1.1501220167139923,1.3196990938184345,0.7337248359592992,0.6309396016276019,0.7040566103714395,0.9837796712373843,0.7904670954655835,0.7362421275245701,0.7860193762996587,0.7959538537877905,0.9289626684393699,0.7332374938675474,0.6862446120690144,0.8591402856749798,0.7339915520406185,0.9672440689374915,0.7617104789849901,1.0389650212924642,1.3676934220848973,1.1329322055049147,1.006499934394485,0.8051035992424369,1.092761311454281,0.7312509031099855,0.77674722073722,0.6865062242617745,0.6904573735532721,0.6652547103245723,0.6310892813987202,1.409201292319629,0.8136184319760572,0.5858323582624657,0.5655070474748626,0.5787071573028592,0.6737748621841024,0.6380494839683789,0.7363399372384514,0.6996274485965115,0.8512009742154356,0.7292732898641029,0.714538666319091,0.6704249341690405,0.7374017655562098,0.7178658952105722,0.6864816308983189,0.6860743690972353,0.9383018452475745,0.6727797788251674,0.8108860515910786,0.6716455454383384,0.6792419244890187,0.6624283751456966,0.5656599888028004,0.7294205950404371,0.4457625184587104,0.4359339512023068,0.7078939197782241,0.4024741555054922,0.37963860228090823,0.338206899671866,0.4012024721915013,0.4333371377334488,0.4094043557118203,0.5133207397643075,0.48577148232973016,0.6668921940069088,0.620561714780358,0.5410191905414946,0.4924313864650884,0.48394220725826076,0.3992280040521263,0.3586730849467615,0.3634012910213341,0.3581240545762848,0.39707645524189883,0.3382708132520979,0.4335001241990868,0.3874275508350139,0.43012602423030527,0.4281809106178644,0.5461134309998319,0.512423125413248,0.48227649755322594,0.6734179385956005,0.4576945928035712,0.49159471362738966,0.4355179536659576,0.6530486265460956,0.6124964958379399,0.5540623589473659,0.47221113645018264,0.4636705596415832,0.49065003501820853,0.4428148790438205,0.49001104387301886,0.4544370471563154,0.43465423151512084,0.5354354134011409,0.6166165033394589,1.0961204818807244,2.0936166413724475,1.2596900671272675,0.8697533311226437,0.6255201128465753,0.6412768884196031,0.555993936627011,0.5864317510228977,0.4732584495066075,0.49166754607411906,0.4530680300340853,0.4655205607908336,0.5185842725451113,0.5281375332746131,0.4822681706061804,0.6068723195814344,0.68205123653012,0.6948662490738117,0.5024654650785507,0.43648260246302806,0.46426377932386975,0.49261055924288355,0.5020400805707821,0.5892892235713969,0.5926807629205127,0.8277865782362896,0.6115073405864598,0.6491884044551872,0.6101669379759763,0.5184199382274897,0.5046213140611383,0.5365299636525798,1.2524265973069635,1.5392685980381378,1.6725534141547231,1.721093520099572,2.2350858365854784,1.1515714728301956,1.8103400984156808,1.8816847112066972,0.683482028224994,0.8487298653750153,0.6662587597218281,0.5446357959903216,0.5838034634846732,0.4182768474582478,0.39707636693346976,0.44956673507130784,0.4374375244208116,0.4914217681719767,0.41546926135601575,0.4611512954543102,0.5241035880218902,0.5178166671939237,0.593292244204847,0.5865791498154304,0.6488204571090652,0.6462439662966852,0.7281783301351086,0.7641306952282119,0.7867243883915229,0.9941180701969629,0.9127995864883248,0.8746358214407827,1.0687085314970826,0.8549171542461634,0.7175134359775404,0.7366235026303335,0.6898591962088839,1.4540394094465219,0.8915815862027419,1.0539942707148977,0.8526006771785576,0.7804937781980176,0.7914261118636702,0.8264118085165152,0.7042664069203282,0.5434093696455877,0.8138777747312954,0.6616639285665412,0.6896031742626995,0.5312679977233152,0.9798895735452225,0.6117282500692581,0.7308254374338935,0.8805698333022807,0.4881848617824606,0.5706473279710835,0.6412046950740417,0.7716065334792991,0.9708805454604876,1.1490253460223654,1.1298243257247893,0.9139268695829312,0.8091477869872217,0.9883177800215556,0.8797427860450576,0.6830329563878343,0.8715011858729078,0.9135989600231931,0.7344149194424288,0.8046863938684689,0.9921005027517444,0.9143791298689409,0.8339938100735375,0.8901174764127948,0.7900574628673375,0.7511462215897754,0.6865496334439272,0.6789350607861457,0.7021342601946197,0.6218323519892115,0.6398054222719243,0.6081042668169334,0.6404201500747263,0.5547587825072334,0.5694290253390006,0.7352601837327979,0.7135664533770987,0.6634858785044879,0.7043453983956109,1.027361703527895,0.8949053884762916,0.8851947039473829,0.9746621534106552,1.220483705694545,1.1938986942695582,0.9327071339961873,0.7962054922835066,0.7457470422298822,0.9874989317063253,0.8564731649885743,0.8773563435155229,0.861542786017929,0.6473464675251006,0.5265173900236023,0.3706605653229501,0.3942678026128652,0.4096266241222885,0.46213335826472596,0.6672274964843288,1.5482368320680895,0.4645153019973025,0.6246073979480923,0.7856463193626659,0.7007627089770945,0.6352097565744973,0.9174954070650497,1.5942197862601868,2.9077703593181226,4.283254713661723,4.853550500257071],[0.7398185587739557,0.5027850088113232,0.6513372032520094,0.4961444371234392,0.4998002427176389,0.5160957221046117,0.3404178952806647,0.49954038979881515,0.3799591111017321,0.4144333796359773,0.5040037063846274,0.6290999701330181,0.554453078488945,0.4753796935145227,0.72637871793059,0.671419768614356,0.6066099267527149,0.6721998449754801,0.7034740549229833,0.705280496902443,0.7542149462099943,0.7471347769084757,0.7859997280284741,0.9301919582518737,0.7288415987094704,0.7033272050945658,0.6360326349265815,0.594889204303564,0.639852941390464,0.6623171662091358,0.7711219204861934,0.7568502563746307,0.8801099272864059,0.8675461771635412,0.8040716073774288,0.7131061755580392,0.6994158560939462,0.6196902568161106,0.5867515870655624,0.6938353279549994,0.7365161927624062,0.6951395437608353,0.7377419481408876,0.8218111192725721,1.097588982910754,2.252899325008306,2.0851408505545654,1.0688997807955205,2.8085095868635777,3.315724296010653,1.7570003895618853,1.4643576130727094,1.389072424292794,1.216109642648754,1.4981292659043226,0.9186698055989311,0.7295434361090958,0.8280068894634932,1.096459508793765,0.8514880807712575,0.8023162493661691,0.8679196664074763,0.8903329159499418,1.0046343275012724,0.7905314301541375,0.7687303408854745,0.9034666978982803,0.7949145470814862,0.9905405642602031,0.8235078383159512,1.0764326134804882,1.431741861383495,1.2242728698293568,1.072990959182676,0.8980072001173054,1.1900544361069074,0.8292993685115512,0.9108175916732529,0.8141602109448093,0.806795495036609,0.7879032715593305,0.7499845379335861,1.4823352816791364,1.0131333673258485,0.61060842224926,0.6746737908323305,0.6728098960503511,0.7930863014073849,0.7413029006562604,0.8617276146563584,0.8125488418755493,0.9757655364975877,0.8678531531949912,0.8619305434862704,0.802357907302461,0.8702670557069838,0.8535452481108099,0.8167358741960028,0.8111217221611776,1.0550213697409354,0.818003527843512,0.951436058340839,0.8116109344013699,0.8021428212124813,0.7710509620770539,0.6825372976950163,0.8706080430278155,0.571828960322677,0.5576525692246891,0.7842080000288142,0.5157534253934959,0.47889493052605264,0.41654814610643287,0.4747981606383036,0.47362252249434755,0.4496019470044622,0.5682670750248293,0.5176887984374052,0.6679551026046913,0.6474034831486101,0.5677776472298316,0.5201681549992567,0.48880044621164714,0.4069690323942853,0.3863699408800978,0.3963091224589363,0.43840706284937403,0.4666136875767715,0.45101711654061377,0.5519838520671467,0.48757789864323225,0.562816022254758,0.5258332775857122,0.6470384785451875,0.5848361569298516,0.538081051075851,0.7000223144123149,0.505558141218177,0.5496664180619173,0.4881844800450993,0.6719923707928045,0.6115921586745419,0.5805997172434029,0.5126287736162567,0.5218551564439627,0.5621382206532113,0.5024862995635744,0.5666279167176166,0.5497812241962882,0.5206411752285081,0.6310538884475234,0.6839753973083011,1.257937127904392,2.0642723769386766,1.2323037045185856,0.9944419307629899,0.7298760170142921,0.7523943380007502,0.6745742975266046,0.6978949351322068,0.5685394848811968,0.5916049917490822,0.5097971784928615,0.5527583875400126,0.5667788362798165,0.5671919248534175,0.5158036853997696,0.6167293048128606,0.6998768678579058,0.7021670460386861,0.5330152774711495,0.4887420974991608,0.5405023424196269,0.5857931838793705,0.6178039818075828,0.7169247576504287,0.710471066626591,0.9628770273890417,0.7359045892350674,0.7571705703839935,0.7044534150944398,0.6397574874836156,0.628057002362482,0.6439629988968874,1.2026666349750852,1.3993956116369213,1.5553114400589374,1.5825137305632653,2.1785071340325755,1.1052660594342554,1.8771446455567218,2.0694734031761137,0.7304360062900747,0.8917678157600304,0.7085756000018104,0.6278809683962899,0.6394489416492143,0.5291026938909951,0.5063828449512462,0.5498589333824503,0.5569148721210745,0.6115298679663423,0.5203870551280072,0.5584965186417187,0.6419413619850982,0.618193559101411,0.6928008088936731,0.6862268557860554,0.7406675764773536,0.7362340287520321,0.8310561857025226,0.8777824347259449,0.8831304974713687,1.1388307286870047,1.0469178612415708,1.0175307606550654,1.1557531521173956,1.0032112655687424,0.8318793198262946,0.8503019318043384,0.7964251687273819,1.6050901992727655,0.9810078710471375,1.1229450692822565,0.909385614714314,0.8951453223884441,0.9197977313813982,0.9615082767968832,0.8157021082786726,0.6823733610265013,0.9434461488382968,0.7809237583163766,0.789845102069566,0.6628270490626147,1.0589138240729048,0.7189774272657685,0.8252068283174918,0.896215567520107,0.5901590706070963,0.6795772233538773,0.7659743219789974,0.8991611013717117,1.0696103210787227,1.259452005433414,1.2234218239224404,1.0329370619621712,0.9305283953992238,1.1047095578845307,0.9995315110161175,0.7978228829636191,0.9814332430066933,1.0037752149039765,0.8136702184001,0.9043229923885583,1.0850471118029534,0.9800403687154935,0.9243330558230874,0.9941991656716584,0.8948154383415793,0.8592759158976417,0.7995497619193072,0.7968353998137125,0.8166990158440222,0.724497638509979,0.7406883857343555,0.7130162311673109,0.7312464956166258,0.6534977398240872,0.6657031419523293,0.8304488191962487,0.810438597261445,0.7500019161324485,0.7969713917823461,1.1111513865600444,1.005143830192773,1.012771145706266,1.0837651987589894,1.2660040857948265,1.3408039947533816,1.0854852155055421,0.9160806846838935,0.8937989905104363,1.140714732684291,0.9838873261608682,0.9889219103416482,0.952154555276863,0.7539621501507472,0.617719110959051,0.46881128111777903,0.45848033916156367,0.5207952726852163,0.5516509089672352,0.7317192069605026,1.4950566287965619,0.5467345167713094,0.6915157674900072,0.7815361454959161,0.8140097768733042,0.6475957958223886,1.0050361648544546,1.5048228370574288,2.60897821335951,4.0750334744853784,4.521164405468212],[0.6920742407816991,0.45131305617160133,0.6186740409702537,0.45022934467792236,0.4487758907227398,0.483125359617936,0.3000141229092693,0.4820082640746747,0.36512418081588804,0.38141418625399404,0.46007895545952865,0.5758849723263557,0.48966829732985445,0.4386379307409066,0.6601113531706956,0.5999090823321089,0.5500998649872383,0.6120117987487194,0.6577166712788636,0.6445684047100292,0.71565249234639,0.6998346344607548,0.7669979298984828,0.9205627854226565,0.6705416936763222,0.661335573422475,0.5856082931692289,0.5299395300009389,0.5726486531032234,0.593494003057041,0.7042624334049041,0.6810371105129186,0.8265146014441092,0.8087510069993318,0.7304256818331814,0.6403551414443767,0.6226720853850335,0.5593962257201868,0.517445332793885,0.6127156500386044,0.687706805908034,0.6393708592622525,0.6551093907110382,0.8280022560038455,1.143137232188698,2.3484217855655247,2.2392169352813918,1.1508091512385124,2.886717993299812,3.3955738925512216,1.8054183429898598,1.5328748631284712,1.317591527129715,1.1850288161981064,1.383205881157293,0.8042163559545107,0.6541830095729589,0.7504162035026019,1.0189199003486424,0.7939692298314001,0.7448330307247428,0.8070275702748609,0.8256452786854855,0.9725018659014385,0.7501858334194363,0.7031738012629208,0.8770850549455074,0.746037040480953,0.9684532719591178,0.7786701405959195,1.0268930895968145,1.3638306459435925,1.163468126931477,1.0449182939835635,0.8530852556004929,1.1534830643222138,0.7711073030652569,0.844977044163523,0.7314320222550513,0.728221329595992,0.717761654688989,0.6733694184622375,1.447202054859387,0.8951203796213717,0.5777649944262155,0.6003358672377997,0.5932763337949736,0.7205060572971134,0.6647584169102967,0.8018769077635848,0.7523563584862714,0.9268985038469676,0.8050971508979765,0.8051264162698393,0.7405309954493198,0.8200502283539582,0.7793718858794167,0.758056772054378,0.7538961202989947,1.0136355117145535,0.7543871187769902,0.9103991697793202,0.7463444797680815,0.7686025246006143,0.7287058583528503,0.6273725053755997,0.8112705709716681,0.5033943050554638,0.5153941156713028,0.7465634341450298,0.4596961871504573,0.4145035225790555,0.36557473007416325,0.422896062585105,0.4360881475606425,0.41411636378612493,0.531219957768183,0.48825439276613514,0.676607289006473,0.6163062391770449,0.5566804077115318,0.5085725371987431,0.4864950068488338,0.37714725596783055,0.3548277200190769,0.38105420629862696,0.3725708522354979,0.39831687613086375,0.38382818238113703,0.4799447582981483,0.42307241731536194,0.47960299918614363,0.45130733192851996,0.5769527295304108,0.5342105222320759,0.4990266317482931,0.7116867006776253,0.4729548261789117,0.5010234371879535,0.4419441237202099,0.6535604332300248,0.6050429729814422,0.5535506968838746,0.4811492704743539,0.4739036195602156,0.5046179366230853,0.45476601121241006,0.511827634765794,0.49664137200842645,0.48798091279731004,0.6053336188590451,0.67432816645965,1.234261830734453,2.057735951597553,1.2349295490060634,0.9562777908663883,0.6831683435867739,0.7145768276074954,0.6044537582682552,0.6404886976919241,0.5135960679500844,0.5229876478292418,0.45884560368207866,0.4772178084661766,0.5278765203876851,0.54169257341827,0.4921422121821533,0.654875291209322,0.732404485874979,0.7283254388681267,0.5270080939711357,0.4489520118975605,0.49091606742551697,0.5209684747708496,0.5471051340160441,0.6539139548483431,0.6503086305953414,0.9177814028358383,0.669412615676489,0.7106359474272236,0.6346774758742157,0.563946563354242,0.5422475127033781,0.5651140472300937,1.2652871736336935,1.4684342154819496,1.6372572908878626,1.6448408411923796,2.1896133635197823,1.0883840059163026,1.7854710111501721,1.9444972287374582,0.6926555612829143,0.8493859485656069,0.6683507052608223,0.548718252952624,0.5911897092515603,0.4556929365809552,0.44742627662417106,0.48185989266934043,0.49885348550791986,0.5616986160048357,0.47017796915384386,0.5146057622386186,0.6007796544712606,0.5734250923187045,0.631045140231623,0.6457765948414486,0.7133061158303388,0.6812217375153689,0.789712596582998,0.838038051996239,0.8285214545847465,1.0292682622908331,1.0077372392184225,0.9812219232083764,1.1312746383633305,0.979867344360827,0.8164997931887586,0.8488166913421539,0.8277097335031145,1.5849401517616155,1.0049297949954228,1.1110041725277786,0.9425082030649946,0.8805769382819827,0.8884647840588841,0.8982075031718972,0.8026537198616097,0.6524756758922957,0.8987782247046954,0.7399585767722804,0.8017567848503583,0.6302608054095488,0.9854913201654316,0.7262285693494145,0.7942238124691636,0.8546639411989831,0.5366802858998816,0.6007341826806486,0.7177660927091671,0.8678331052990244,1.0459114819172595,1.2509004390319387,1.2061405762106132,1.0192479543924797,0.918993702618597,1.107019292396193,1.0045389063094297,0.7851657430246096,0.9867098725858134,1.0237102390037398,0.8120190713375893,0.9172489479754359,1.1125829765679194,0.9974914481861044,0.9094838359419436,0.9968281481688059,0.8912147473455856,0.8591903729184153,0.7973002507845598,0.7870950982016223,0.8085123436802201,0.7110105893483993,0.7358469170301742,0.7175458982754669,0.7335727608030285,0.6356161266660816,0.6687077447464385,0.8393700045665519,0.7990266181496545,0.7411672515902709,0.7771470902129747,1.1370810442060029,1.0080988046725827,1.0016800594947224,1.0820444384815053,1.2564454433625085,1.3674773934574442,1.0613203338198536,0.8892097770580761,0.8328640365403308,1.095986824149357,0.963618584487864,0.993639991315542,0.9379997073975861,0.7327528777157236,0.5733008753253639,0.4092060904890959,0.40241631035030945,0.44367599027668214,0.5157240850069563,0.719307533720009,1.4900331696166291,0.5091632821270701,0.6694420065665306,0.7408653231008145,0.8108619931134609,0.6204139995958668,0.9108483643780907,1.2820086969618698,2.4478884049134413,3.8645117498398096,4.026183447051301],[0.745122185573975,0.5177374130374063,0.7103755646404447,0.4698589339177328,0.48204582942649454,0.5108269314951706,0.33743828624051664,0.5297802379738282,0.38853625244509704,0.40984892828006847,0.49583727908557834,0.6247239295834696,0.5434746620488089,0.4656456264319067,0.7267896149432036,0.6767539126262967,0.597322091851885,0.6713045906034046,0.7094383746608327,0.708385153667386,0.7699650776975072,0.7560619570442964,0.8087092456051248,0.9428470422583536,0.7138269374886278,0.6987260330406831,0.6206249914458144,0.5723755400396636,0.6352988079724378,0.6742516792392594,0.7937552565923154,0.7815292019717865,0.9311326318758706,0.9225291385356904,0.8367848427856331,0.7334306216738006,0.7194142700973661,0.625257296724357,0.5743303234387284,0.6876318516798713,0.7293084841226519,0.6883755088552935,0.72285430749411,0.8297455950786448,1.1213018845537532,2.3006269432973547,2.1531674499975115,1.0965620774250613,2.8369418123507906,3.3450329647816597,1.7741344859300203,1.487215889982025,1.3965514432631332,1.2216081997282742,1.4899637083228268,0.9080313894779162,0.7314495456821216,0.846445101258553,1.1136055979206305,0.8661028488686981,0.8143238920997199,0.8984499975449527,0.9268760834949816,1.0660233301387487,0.8198865011073697,0.7874562301584965,0.9450691227000769,0.8296749051788949,1.0233087258492273,0.8442198157836607,1.0933777243668126,1.4444399434440716,1.228930798189018,1.1275467427650792,0.9397977101302172,1.2563861204477227,0.8789412515785314,0.9722331150137837,0.8606465352199674,0.8356759481691843,0.8205974789307939,0.7659547152376036,1.5109841523839873,1.0559153950767477,0.6168460811070192,0.6884191370443591,0.6801202606609738,0.8185831294208614,0.7612757096735501,0.9080003033297257,0.8703263017236321,1.02181174568887,0.928610607054608,0.9208100045134312,0.8393063072368918,0.922918362662813,0.8820496737078621,0.8509881422836402,0.835490323982114,1.0851120806162655,0.8583785893969006,0.9914259108187337,0.8542630617422219,0.8627179424863662,0.8377658823596768,0.7189009267952386,0.940844041200178,0.5937809411246466,0.5852124070177274,0.8054784545246692,0.5313024257429263,0.49133755215649605,0.4245605117390152,0.45973503800663496,0.4563356053998306,0.4190831934206399,0.5454113989531726,0.4929110577890758,0.6919429735967173,0.6423453611799117,0.5706711263962746,0.5198861000443558,0.4843503301748275,0.3747755685958592,0.35270219067515907,0.37758847723279493,0.40539768213045224,0.43077342593625934,0.44779202849225974,0.5586328293730247,0.4840498580061887,0.5886003387704625,0.5130131486248857,0.6466986268810974,0.5772206842876879,0.5163066451050186,0.6971189321606696,0.4964014793860888,0.5375004013497069,0.46666426129816796,0.65157518157319,0.591089988788967,0.5629871079373115,0.4953276647866342,0.5087761481874999,0.5493205558403556,0.49333350608188337,0.5573023558587071,0.5599680350755389,0.5278317030925763,0.6651160169569114,0.7138502451896707,1.3226752971868319,2.0063971094438884,1.2046363962076818,1.0193018156294948,0.7538820640090267,0.7882441422447798,0.6937837654134638,0.7066002182463881,0.5688419076958559,0.5884704642515022,0.48945502564576987,0.5297522533377628,0.552254783928288,0.5420799536359697,0.4934639342877059,0.626716951355189,0.7154041363697368,0.7082425072091969,0.520543581253826,0.4657201601575831,0.5331097962072933,0.5921669454786898,0.6290597974650183,0.744024331250654,0.7370269108629705,1.0284624865082115,0.7700325332143859,0.803414583718485,0.7176381472095364,0.6517907321340457,0.6315419579796904,0.6400404335646188,1.2434113216864624,1.4189662626335529,1.5878673122658957,1.5731147561394403,2.168100934475085,1.085975558920618,1.8344710512725892,2.0539932725959402,0.7216134527792544,0.8680174406443613,0.685879515197587,0.5808947531820612,0.6192923364137853,0.5269477208303414,0.512878910768863,0.5618083279679006,0.5910061731308234,0.6506250275248611,0.5447929209085755,0.5886483504867812,0.6905480424096473,0.6450213570338643,0.6981390051104197,0.7299837509620933,0.7895057999449047,0.7541309607776306,0.8703188228836298,0.9209819385036295,0.8943890169564993,1.1258077373596638,1.1164705195770113,1.09178848197048,1.2025824738509272,1.1098233076612294,0.9156949299378531,0.9489222288170122,0.936338316722294,1.7355052999303187,1.0942611064441976,1.160057632855675,1.012315093913864,0.973996855548262,0.9817012122715075,0.9999327469888805,0.8747744533274943,0.7678529053282892,1.0023535025857047,0.8455654478338923,0.9138983384822239,0.7336918471020826,1.0314359376621773,0.8023786478076297,0.8435211919928393,0.8237688425837232,0.5983044768382848,0.6949318406937313,0.8216120428555291,0.9699700531033044,1.1213606834975332,1.341886882487846,1.2952192901006312,1.0977016631294378,1.0254810439892192,1.2289198789276898,1.1055931942943018,0.8745343086267189,1.0897527978868369,1.1070991798728356,0.8829862527485411,1.0053751312972201,1.1928114738607647,1.0515937636126207,0.9858657005240379,1.0972833471548087,0.9861215378941982,0.9710819889804593,0.8947194559130826,0.8957528475885206,0.9225216835632766,0.8069179833605277,0.8233080920168538,0.8278620681461739,0.8302637365187763,0.7231733473214349,0.7665436591253927,0.9335085457268413,0.8787425617740033,0.8078811290107171,0.8659844043705407,1.2102761639996285,1.0825171214930631,1.0846608869732184,1.1745124619135099,1.3280878290858817,1.4705525939735296,1.1748385208925733,0.992282657511824,0.9368694955461464,1.1988884250668597,1.041999494711164,1.0655264480715236,0.9812993735455918,0.7893450730487067,0.6164604531162705,0.47774982006648237,0.44798761903447143,0.5206250461166092,0.603210576263224,0.80996936547901,1.452338676052043,0.583122744211286,0.7465895306914003,0.7998087051571402,0.8880687404738139,0.6509461171577677,0.9730110985296218,1.2027489051188496,2.1858612721364956,3.6255419288773756,3.941959513982926],[0.6883580127636315,0.5257323895083597,0.7303637089249413,0.5065783009035842,0.5127445372971794,0.5177927765291425,0.41343348850979633,0.5952538251015702,0.47243224888665636,0.47765797384174946,0.5499651331933045,0.6589070032619273,0.5881510234012138,0.5248291420613468,0.7470527960166322,0.6992536609361333,0.6405770950373622,0.7014843313893461,0.7438459523755532,0.7289397843951959,0.7887210340617826,0.7759284218384334,0.8320650198604884,0.9869368325837066,0.7798836528934341,0.7473886850200289,0.6629096093404573,0.6272320883643347,0.6729165799821799,0.6939666484269871,0.8054245692761334,0.7939799283856473,0.9382649856100738,0.9287362161334861,0.8418682513369046,0.7467148839240193,0.7242450853408694,0.6552104160660385,0.6100144208366409,0.7241542095324377,0.7434992545756633,0.699367280472288,0.7338386941793503,0.8474330188365355,1.1537685913153917,2.3572752078943657,2.242543218568697,1.151098200609183,2.878075073582044,3.412831202744997,1.8182935120384762,1.5385527456220032,1.4170210730403607,1.2765766125351374,1.4926414957329805,0.9189468151150079,0.7436003380446657,0.8670536444778322,1.117208732223713,0.8909032157824406,0.8415643618467337,0.9140273187104658,0.9479144949457724,1.0961754458025559,0.8483776679083956,0.8070583772553157,0.9740540435677241,0.8392451007107944,1.042145322833516,0.8635946080763803,1.1058075852681055,1.4412380083727543,1.2199145530494668,1.132915226357449,0.9658376348476312,1.2647684263773111,0.8940554033598037,0.9754812011893005,0.865155791587139,0.8440670514576232,0.8315363395009301,0.77252727231608,1.50549062969885,1.04957441171175,0.6342033963030734,0.7036147360974238,0.693960356047916,0.8262701348953196,0.7700421760122738,0.916724736388094,0.8853892991031501,1.0360842077006647,0.9299739759992741,0.9245224627875037,0.8461513135478468,0.9278466174254785,0.8799874682892836,0.8581110502453589,0.8511170298007633,1.097248456732776,0.8745381422120488,1.0078808915663788,0.8777613594619678,0.8842821333043989,0.8619407311429521,0.7522432371535562,0.9648293448924022,0.6245530569396469,0.6343261533251284,0.8300238674330138,0.5809649160730606,0.5578125410855795,0.49274979881258435,0.5253421671251899,0.5132811678150256,0.47056249441206477,0.6213508576768404,0.5792347527633931,0.7638653350230082,0.6958318332999135,0.6350652889359333,0.5927001358910148,0.5658944366864436,0.44377455425177065,0.43217064911381153,0.4268966846603934,0.44962132756587614,0.4763279714559389,0.5014118011573162,0.6060265257273748,0.5396264972572968,0.6234713331673286,0.5585590405523896,0.6916774727943442,0.5761693653211386,0.5433297325432698,0.7102266633402369,0.5498258837192771,0.58861742233095,0.5410854915130578,0.7359601896770623,0.6721289468606421,0.6200675335133794,0.5547208826973884,0.5655503542947888,0.5994262173347197,0.5431688582103713,0.6063627119029108,0.6126043123488438,0.592590172965147,0.7172180119064302,0.7515899517003181,1.3326751934106043,1.9449597236380287,1.2071097567158962,1.0310797642754732,0.7764065655243941,0.8161484815433155,0.7231234476692383,0.7340920519442676,0.61186733726026,0.6303979338124936,0.5277746916880671,0.5712396103459186,0.5802190561880799,0.5923831155946395,0.5585569416300754,0.7122822996005032,0.7751651209448828,0.7805005574485131,0.5779734688160929,0.5210681404148876,0.5680917358368237,0.6380140266915163,0.6625696800335589,0.7717501859506455,0.7611020969266463,1.0350205265875239,0.7898015911727325,0.8271747566782033,0.7694363881556963,0.6859184935314026,0.6644072206869678,0.6809697662607924,1.2922772035682788,1.4000095321503363,1.5814631882544496,1.5404500172203266,2.1542628126020467,1.0993847533959478,1.8367862481244355,2.093841601312605,0.7555197099696954,0.8660175210082911,0.7098255988896179,0.6288843485733138,0.6521506734692745,0.5809446771393502,0.5717001232086437,0.6108254245034526,0.655376390591378,0.7225181770504512,0.6083464147301498,0.6309529854544511,0.7421507760742965,0.6955405632176359,0.7058104088872497,0.7638596797759459,0.8315417742321403,0.7668042361399787,0.8799662175959104,0.9363611493625567,0.8927132841467434,1.0736037936573626,1.1137061103707795,1.0885965521042993,1.2192842860896742,1.1268070234541068,0.9469518307368279,0.996721608961895,1.009098345301278,1.716572398399492,1.1451891786359025,1.2247100742155197,1.0724766247737785,1.0241804817994096,1.0286817352744588,1.014410496290924,0.9199663068199053,0.8392526711462177,1.057245222596109,0.9061441701185303,1.0005859846517227,0.8125386052930988,1.0289159262306347,0.8831560999001863,0.8526125753349092,0.855639035718753,0.6330220161616626,0.7263795752378871,0.8652549869021696,1.0146754526969646,1.156264752537634,1.3933267625278993,1.3304480641189842,1.1473101120273292,1.0837467387471138,1.2850105477191378,1.1673667516128448,0.9468381191200091,1.1673437415564472,1.193194046825294,0.9459242004243984,1.0758507024569355,1.261461358672179,1.108237116529851,1.0266184328825159,1.1469098945635865,1.0290560628002068,1.0293870690683287,0.9697951219706437,0.9643715434051446,0.9723793865180269,0.8498224552103153,0.8974644098011407,0.8869079938623043,0.8803444364268656,0.7749676585884834,0.8321703969008701,0.9950007715647765,0.9176294796492277,0.8400863528529943,0.9117574570948269,1.2134053207229825,1.1104384105788023,1.1208321094795748,1.2382006603838929,1.3324244009114516,1.5281396842557,1.1830430055557832,0.9948491715602723,0.9188991071139304,1.181056674025361,1.0394347566303157,1.0803928907461406,1.011000491147905,0.8005697980645904,0.6390275554264245,0.5360003991004555,0.5119059720483582,0.5576881802039884,0.6529991730631117,0.8322447525592787,1.4654522239686967,0.6330169216571275,0.7657326157827057,0.8045829559478526,0.9417350997233125,0.6722864073282069,0.9201907004740444,1.0701328782855901,2.0526460316412045,3.4455848146906054,3.7262743744390563],[0.9524894864540686,0.7526047025936567,0.9457166164964707,0.6138338626299172,0.6416845520772185,0.6444125622567128,0.5218211987778629,0.6611282675919947,0.5526906785790109,0.568369811067014,0.6189220937521701,0.7446643644049554,0.6695692493349469,0.6031048642920359,0.8453851833065226,0.8049157460665864,0.704765574022892,0.7763689135998061,0.7892702753307307,0.8083037712212944,0.8445507035651802,0.85018098916161,0.9031097194884745,0.9919281102069298,0.7903387893144173,0.7625431092526087,0.6958682587699688,0.6690479014955338,0.7397639241489193,0.7943600624621201,0.9178641116373167,0.9236830655470718,1.091545292995903,1.0812727710999357,0.9769666081930432,0.8688599881382614,0.8531520652748609,0.7480114280857272,0.6944182850975846,0.7833758690574213,0.806560329331874,0.8005531037303486,0.8272369762812386,0.9366906008319914,1.138196446541878,2.31368359724799,2.1789115742358702,1.1879337821644984,2.878183708657316,3.441863213360647,1.8402897260779012,1.5067196528088052,1.4479245903509814,1.2445717613532024,1.5879482091076833,1.0401601118636143,0.8844622071253408,0.9659380103225219,1.2169774333807613,0.9628141160412274,0.9296801651471143,1.0083226837331205,1.0535685944855404,1.164791451628782,0.9408765122947689,0.9112671271801545,1.0397610369070032,0.9343483875742914,1.07576544934964,0.9378073153280294,1.1705142384082485,1.4972704830380423,1.335062502979835,1.2329636739228365,1.0520612171385504,1.393913628960128,1.0122052404546322,1.1315125786754807,1.0099076942416816,0.9668371164184953,0.9588676034187198,0.9079317174656564,1.559272216112538,1.1652188717724323,0.7378323538257625,0.8074483282262888,0.8117677119307489,0.9505705077228451,0.899662939563578,1.0488721053365397,1.0109440303576531,1.1566544617070948,1.0813704198881862,1.0854994888102951,0.9904091769575489,1.0899557823730213,1.0049360586578284,0.9925723319787549,0.9633123678279615,1.1595927302103897,0.984242991677637,1.0733318313653075,0.9651886218319345,0.9665194879861797,0.9453650589959927,0.8661813565215207,1.068938625338006,0.7815489133450196,0.7906819876721759,0.9450393688662609,0.7085109336812571,0.6466556248423105,0.5757774381157235,0.5868597924706688,0.5929894546430322,0.5501018923762633,0.6583471118303506,0.6032309073777412,0.7705954357440692,0.7407763840938664,0.688789280511344,0.6341565001876225,0.5829708901516327,0.5085662519294958,0.47399943450791954,0.5119385052030948,0.578749263516184,0.6081463253609593,0.6557649614504423,0.7440152179556285,0.690392555946119,0.8012349804169647,0.7212791633717389,0.8140797105958444,0.7364230421970122,0.6749812034356657,0.813823773807125,0.6475595979570218,0.6530829586358431,0.5943008923094144,0.7378289727635343,0.6848190488802676,0.6765955486393654,0.6029499638305233,0.6179568024768006,0.6471655332262455,0.608225284161119,0.674871096320501,0.6832688951662339,0.6526200936164207,0.7949438547773314,0.814833985320147,1.377302209264459,1.80957372304663,1.1835642230386438,1.0819391068258548,0.8539622722362193,0.8918820419253009,0.8200503450992612,0.8252387257569159,0.6935863094889535,0.7069910305845888,0.6070249091035806,0.655260062521712,0.6669341093511353,0.6740725811375425,0.6436644622633493,0.7437411813871835,0.823217801729082,0.8115650489979253,0.6550614531848948,0.6124209145034198,0.6777546338502192,0.7274250971220599,0.7605181274678224,0.8687194777370573,0.8627118211048072,1.1342284832288188,0.8953552980885439,0.9130686319318505,0.8503827376455932,0.8000904332692393,0.7898397159944862,0.8081189171823534,1.3224438545536892,1.4242664109982022,1.5723832351347387,1.5745761127862676,2.177819421245296,1.1613422154405093,1.8961711422455154,2.1510388829432183,0.8827945225747824,0.9953037328469758,0.8087546880259665,0.7461031924789697,0.7816025907180695,0.7393750398563356,0.7470839887935123,0.7880545775008434,0.8341958917119433,0.8694580945953834,0.7787761043765065,0.8294167199352148,0.9202986569959272,0.862793407787821,0.9249108910489188,0.970952127608829,1.0006213284797825,0.9710917538214129,1.0925885803825572,1.1442276076945859,1.0881739854731802,1.3064157121389997,1.3533248620999496,1.3302018225210375,1.4013279975416923,1.363852459911657,1.169570084344745,1.217751456635885,1.2322967548338248,1.948682763981495,1.3548605200237913,1.38409247743378,1.2273663241108295,1.2068599265058844,1.218818575204638,1.2230766602148997,1.1206054724700272,1.0449118277985843,1.233792371655009,1.085854456980518,1.1501854606245676,0.9912009208878776,1.2290901858730932,1.0264837127583277,1.0376959478615488,0.939409768489863,0.8205068432589305,0.9087745090962952,1.0368706441128506,1.1692188054521935,1.2625204827990584,1.4854235032712622,1.4127983033891498,1.2482933320492051,1.2135072604525647,1.3895719709503778,1.262797357366456,1.072336175342746,1.2771783803133732,1.2770716237618571,1.0776158135512794,1.2051688439623232,1.3573170595238389,1.2269723770417522,1.2013950504285675,1.3212028478662439,1.2169641947337526,1.2046648690739359,1.1111940621045258,1.13222447373653,1.1867616841829665,1.0599883748337677,1.057621916711167,1.103871610507605,1.1023931632003396,0.9878762211611132,1.0495193337687792,1.1965347946350935,1.1193825328847493,1.0463626435219855,1.1031735035970536,1.4189320529481715,1.3021400487795902,1.2935833195026596,1.4178020796029303,1.5005733722946082,1.68215631625074,1.3899793256939583,1.2110001433608257,1.1517449291404276,1.3913278895630283,1.241009703869793,1.271930288592117,1.1601760920698547,1.009416000336193,0.8326315540528083,0.70878906975483,0.6590474965500033,0.7455091998780511,0.8040306051840493,0.9619084344991302,1.4623942687976204,0.7744481864930927,0.8988917289048718,0.8953386362224818,1.043833557280531,0.7859823174314164,1.0811699371263366,1.1718136288691583,1.9342126196550558,3.2329677141077933,3.7800010918755778],[1.046974670595395,0.8570255963041992,1.0375349183356806,0.7156049066590123,0.7228650197804614,0.7171987111138052,0.6202454347759764,0.7805047198390944,0.6801031734438674,0.6709439343827182,0.7597896692766185,0.9368642950597554,0.8258694182739756,0.7191109873660394,0.9560915595434871,0.9547882801315775,0.8289647689566367,0.8904169787780565,0.8530727304632193,0.9104520582564933,0.92081180215363,0.9520595418868335,0.9202092861948378,0.9973424303981939,0.8821024447018895,0.8280964567413751,0.7848229129581699,0.7904862352542494,0.8856741203824592,0.9595146176463594,1.0820550529584185,1.120265083209301,1.2871572792385557,1.2752014960128102,1.1807720293878095,1.0416146254967875,1.0361879315670532,0.9113590053746381,0.8442319070094688,0.9454250373534884,0.8611247263740698,0.8944784354806948,0.9598554885740491,0.961891228848519,1.1552496051501626,2.253092019372338,2.133960432429082,1.1518451687264586,2.7877741978729342,3.411160287230915,1.7746903740934274,1.5913219584972282,1.5680391607178121,1.3620011499029872,1.7277790977910266,1.2119090642346961,1.0080057580075126,1.0871196160486074,1.2925134042384285,1.0797669416446998,1.0180856191405774,1.1043394773067272,1.170420152765871,1.2087942388449544,1.0111073153004435,0.997681624326731,1.0937067065599646,1.0181745909958158,1.1239596010752595,1.0047958893563678,1.2217877261310346,1.4860532181332613,1.3666542445299548,1.2193769983146072,1.1441669297202905,1.4592483447916285,1.118577651944451,1.2743792851242004,1.1703384904687162,1.124016008807101,1.1518665411956053,1.1181850356571057,1.6618279936579783,1.3134809812489632,0.9130882074407085,1.0001186662468622,0.9982509905971126,1.1612125288765875,1.0656469440888616,1.2302372508879533,1.1511780078611937,1.3222315851357487,1.2347911123203803,1.2566623929495835,1.154111635365361,1.2608325208687028,1.1447280104078597,1.191415968291662,1.1514963402234863,1.3609625883689689,1.1905229442795298,1.2788631397630854,1.177815411303543,1.1695241320183014,1.1346884238798414,1.0131155772993412,1.246904432252287,0.9229532004368945,0.8909526479866714,1.0546821236082888,0.8408118482920734,0.8012865303231729,0.7095153437352503,0.7032937366188418,0.7088892588098386,0.6224837518511386,0.7538380718712077,0.6779688727617756,0.8311889496935282,0.8343130335159802,0.7406035444621871,0.693277110804589,0.632971313358255,0.5615859432385117,0.580738546622313,0.6104974852544216,0.6759345440291572,0.7197334815597053,0.772800003161058,0.8729572367444706,0.7680047074878522,0.9071676828529539,0.8254004880470309,0.9428935996475883,0.8381747387361744,0.7640754284086769,0.8612038812950275,0.7094619791486958,0.7547861279182484,0.6953552909342072,0.7898115919466829,0.7475255058284658,0.7676867081656684,0.7173279583338797,0.7407610187284558,0.7843215401918051,0.732372569737071,0.8239858335774076,0.8283590381016623,0.7970817514380772,0.9374327020486259,0.956246869591423,1.5253233008923286,1.8130684206132643,1.3577771556244056,1.2846397654975377,1.047281840906137,1.0759924809972823,0.9950066575493636,0.9764617671445753,0.8339690433839424,0.8574183280757907,0.7332617875847688,0.7916924113033097,0.7892298823184877,0.7814048291137704,0.7243431211300131,0.8025182143262726,0.8842001206096429,0.8471066836794228,0.7254739746573792,0.711549024639956,0.7954701510906074,0.8575477293757054,0.9232688844163679,1.054387984658013,1.0484726803432494,1.32081779565548,1.0719803471785405,1.0897983951403214,0.9783911062913925,0.9486634464938869,0.9285615347064508,0.9362744591339915,1.4309076940751941,1.4671149918031112,1.6100322021824764,1.5696439046221977,2.208925713246812,1.1527608130432512,1.9003290085865492,2.235171386669246,0.9356841824416082,1.0520251577143946,0.9086740931749373,0.8225150968523718,0.8453306146444832,0.8186109160381924,0.826400861280267,0.8526495672607295,0.9054095184827113,0.9407319642439881,0.8381497248873758,0.8849354526649438,0.9778818967017533,0.9120900498009373,0.970103956551421,1.0236224969671743,1.0479456300004035,1.0138897333473393,1.1541559842860476,1.2044312871388934,1.1329787912966445,1.3746842521608222,1.45573165164499,1.4343813674634933,1.4864579395539577,1.4720184703244625,1.2477269121148653,1.286939471056476,1.300356878284167,2.028832464109586,1.4030369802459324,1.3832979392432105,1.2981329648979711,1.2812237221478797,1.2791286301487694,1.2726568975128962,1.1917795290147697,1.1252066552508444,1.273957622610447,1.1621398078563787,1.246919796873344,1.0546850067021487,1.226605366169535,1.1276589681097278,1.1059268814547158,0.9771154525209511,0.8865935620211851,0.978931408959886,1.1247535883916755,1.2355928179267728,1.3474806270968576,1.5999700061542559,1.5139417517894491,1.3335860000881243,1.2988808600324762,1.4961354054191984,1.3761064990472278,1.1453174490965,1.345534591750736,1.3530150229346256,1.117942407440822,1.2608078774496396,1.4067237431800044,1.2541608324321798,1.2321860926222485,1.352237466174134,1.2583665527067098,1.2558298934822123,1.1800037151549734,1.2020791870624938,1.2428954898643407,1.113170454715332,1.1237882055917228,1.1710288476590072,1.1648359396270764,1.047700494175679,1.1177530828050222,1.2626360013306048,1.1846311869663189,1.1050964134683583,1.161409960031551,1.5025688641829678,1.3879477621999414,1.3883458928022105,1.5301404331496802,1.6161621785752573,1.779533730660014,1.5119373725549297,1.3022146759975661,1.2390545878453916,1.50815176839361,1.3294396248399583,1.362138206972022,1.2278366842986506,1.082424072914084,0.8797433797686336,0.7798084020761017,0.7288894799580756,0.7932249879279425,0.8822977250822863,1.0278029632354877,1.49533251790419,0.8703527909271851,0.9608752757003143,0.9550141686966307,1.1590884187908188,0.8531509936398973,1.146246118524698,1.143472983147181,1.8447173058045097,3.1149249889826494,3.8310683267402053],[0.9021250565766373,0.7164498277973234,0.9204461513926381,0.6447130646786444,0.6464884051747561,0.6580941560283865,0.5144359695512388,0.6748172268841028,0.5333487471229623,0.5134116247506144,0.5497538397598513,0.6891736713736332,0.6125130676295064,0.49551836450711284,0.7153336474453625,0.6852070955110044,0.6102064638594055,0.6521768425627621,0.6838872917758531,0.6770874317625706,0.7226709188608756,0.7272192121792073,0.7335195900251013,0.8959842987944613,0.7146065225396273,0.679333213314746,0.628302143669236,0.5905443352128551,0.6448486406188444,0.6931270212569646,0.7753466254799078,0.8027840502781887,0.9266464322247739,0.9159088369701922,0.8354968515876436,0.7216579455002509,0.7499667114602926,0.6493075234372405,0.6206266599827557,0.7428036631168254,0.8176762946508672,0.6745209156982632,0.7166140502767865,0.8502920984467122,1.1932031921512394,2.363054418053551,2.2775685444640397,1.1734948147842517,2.877549548788,3.4779637176689464,1.7887367608398717,1.6241549209832329,1.4313284159761936,1.2401256474751632,1.4797870512167937,0.9161853842696541,0.7154857407515111,0.8060909887146877,1.103459283045563,0.8768570381908929,0.7786364558267592,0.8466017595135599,0.8802140932383897,0.9682687081506882,0.7510378043655269,0.7414270884473525,0.8842873260049116,0.7728472636276185,0.9590033845794255,0.8015766721402598,1.0398041022817008,1.3811756627456644,1.1870425759285324,1.0416454658837122,0.8796586746530912,1.1505749669299896,0.8179575304302863,0.9227554527720638,0.8312041447699736,0.8162281003751997,0.8248373711584245,0.7816719145478591,1.4727409604106063,1.0786801558293817,0.6840578456375871,0.7263119157569383,0.6962557340198864,0.8350738500878534,0.7476325962810011,0.890182851484269,0.8202828835016438,0.9821433237227861,0.8802427901710564,0.88606158331261,0.814593420538587,0.8915050949191519,0.8449508437016968,0.8530686042819398,0.8582610019033808,1.1153255643313653,0.9081886302339265,1.0830059575635662,0.936557652906036,0.9593863829001159,0.9615797924769768,0.8423980910447548,1.0523087615960431,0.7509541275951337,0.7678925319072409,0.9231767229925246,0.6976809528794592,0.6301760692958418,0.5723355999556051,0.5752359648972057,0.5272968097798979,0.4845144851521556,0.5919911695623046,0.5441133966918359,0.6695055005186397,0.6651826942689527,0.5669339024619479,0.5473334898532405,0.529156325603932,0.46931136525341105,0.4999663275395707,0.5671114503088431,0.5936215792147354,0.5882791819140355,0.6335667513978521,0.7130847909973348,0.6480966256607239,0.736004434103887,0.6697023351597573,0.7891868771678296,0.6901332296842955,0.6364469885769144,0.8389457776209089,0.6198020441740515,0.6488144825598045,0.5880751361257046,0.7021812915057054,0.6301667101588239,0.5977934488202766,0.5557660359552214,0.5774397455261433,0.612606519902147,0.5641883550569853,0.6328979387837489,0.6490818038804866,0.6449896391093525,0.7849638074151326,0.802356635476911,1.366979695167022,1.8068562865631612,1.189771820654182,1.066330462009606,0.8238587500598015,0.8689648182078781,0.7621829182083187,0.7876055878234587,0.6675752635929314,0.6604862820931009,0.5817578013012537,0.5894922320091249,0.6581189966972317,0.6625070665837678,0.6168560784567373,0.7532762848373954,0.8488010254401942,0.817029828928365,0.6599416219528468,0.5909123303443197,0.6485914127639456,0.6824674951567732,0.7097653504367477,0.8359827125160623,0.7978336964025111,1.114097528589976,0.8313199132072582,0.8934003292091867,0.8047616384317389,0.7597165908848799,0.7510382039876031,0.7682155371581113,1.3876147209564618,1.4423256781631,1.6549941796946301,1.5520211214895028,2.154088509673852,1.1160158486811056,1.8138099851023686,2.108714173051355,0.8243739636126689,0.9569499318165182,0.8076980852433645,0.7325686170028316,0.7603983974325036,0.6824165474415153,0.688062259877957,0.708162892076723,0.7629308940577246,0.8268194930775338,0.7092804404710459,0.7355537609245013,0.8485679165273801,0.7959816660181339,0.8092613713620718,0.8540414875764719,0.9188052608271086,0.8466201240497062,0.9643945071786887,1.0058479369217368,0.9547320811260475,1.16129709121529,1.2072052715598165,1.200580883375003,1.2895082487659963,1.2368895416477215,1.0379240664137093,1.0835523033901104,1.0984257950810046,1.797626751008545,1.2315466186992121,1.2334436712302512,1.1622712392015533,1.1241156164239567,1.1248566419117596,1.114037577738092,1.0139050634640505,0.9430946014423627,1.1364482340504334,0.9969927284761589,1.0854186856096721,0.9011393354827024,1.1099983437222025,0.9775733085212066,0.9505755514157352,0.8943521429097739,0.7439549768945435,0.8243103015908033,0.9717685301722496,1.1158536701497705,1.25485959146936,1.4855997163020747,1.4246236711624327,1.260715468786098,1.1963147814820136,1.3964197641208738,1.280717388003791,1.0565996411750505,1.2739164888920684,1.304906275786806,1.0420047080675663,1.1707618676586857,1.3518719468283136,1.1975433356652962,1.09505806583279,1.2183439769637667,1.1111166302853537,1.117547759598909,1.0558701803619501,1.0522785287292193,1.0652541959102395,0.9470379327148881,0.9786336831737831,0.987226969968407,0.9774457691199048,0.870878596836724,0.9261492696612932,1.0767578078901698,0.9979612402237268,0.9308465281704725,1.0059083618936233,1.2981605254593418,1.198182055430283,1.2118797331488718,1.3249026492717049,1.4328816109106068,1.6015531452967489,1.307469390304346,1.111396942438351,1.0439201746911186,1.3134649045801066,1.1620918989368723,1.1995996335898533,1.0819816247014138,0.9279680666939599,0.7497393380280291,0.653846351832792,0.6234175686295745,0.6723470529390406,0.7615402456502072,0.9242878759069088,1.4568551604215256,0.7519781292861306,0.8630579783612737,0.8608082624327366,1.0661883257582476,0.7669957081274316,1.0010891797220753,1.0548669483354454,1.9042237841444318,3.3152969589503565,3.6738078662804554],[0.7809843021942268,0.5657397729998311,0.754040498845168,0.5169478424291418,0.5305349323992756,0.5421603371076704,0.3989304437171274,0.6017415185415573,0.4665495647641268,0.4636095271266854,0.5376871770518702,0.6924219720166966,0.5995749338632509,0.48223955084079834,0.7229378036496247,0.6898877496669152,0.5987237778340821,0.6502130689075964,0.660783665527902,0.6684789470492024,0.6941489206731412,0.711198129196299,0.7234484610801397,0.8529720143651658,0.7152434297026485,0.6507304726559402,0.597592291195858,0.5732280341541647,0.6391231294684644,0.6922887214507945,0.7895396484708639,0.8118221685527579,0.9326984088351232,0.9218173475889886,0.8442094156333297,0.7335005814479193,0.74831584689491,0.6447185755661747,0.597539853162565,0.7239129414167614,0.7506435701043773,0.6521839582509568,0.7026126271547429,0.8093711661607028,1.1051189360405207,2.304833665484293,2.2032406560659035,1.1203184829865087,2.851471434366636,3.461722777911394,1.7816171338434355,1.5588847757226145,1.4315225567055399,1.2296988308944867,1.5041126461578873,0.9346263727490756,0.7253631154689518,0.8138910107606859,1.10452031820193,0.8665599567206057,0.7783381201278236,0.8522773044593619,0.8979015524159516,0.9741191835041537,0.7558355444581717,0.7512610240726445,0.886616763312406,0.7688945427895304,0.941961036813406,0.7993700380092669,1.0452949649989849,1.3623780079229046,1.2004481015161337,1.024667297950062,0.8978282726206082,1.1684341084826004,0.8313762966797176,0.9354459660277634,0.8417726349428734,0.8216620521590307,0.8297742572237066,0.7873588644865726,1.4735035755614063,1.0683777786618147,0.6517937202232911,0.7190638295592591,0.6999393634233085,0.8350779126061378,0.7569413197209731,0.898943449075017,0.8312319731551013,0.9956175716501007,0.8908059355280677,0.9026822732678873,0.8330862145992487,0.9109184997878179,0.8605822222191643,0.8707674582725506,0.867742145571944,1.120234333830086,0.9052692684351462,1.0629968023290108,0.9132689217937118,0.9245192915039757,0.9114063685366426,0.7871666594196514,0.9982442037869095,0.6531190446387694,0.6520767926712138,0.8534896258602328,0.5963191703608152,0.5555642576539539,0.4915754947616788,0.5069430767498888,0.487010922156709,0.4357109830258085,0.5727991225332527,0.5040091597966199,0.6574363996683661,0.649489929264867,0.5569028326635025,0.5185251224852728,0.4634317796742999,0.38630503255660065,0.390953058097106,0.4342257031790409,0.46772887294913157,0.49078232178482945,0.5214923567883131,0.6264028247631277,0.5385316322344271,0.6476500058324999,0.5738763062100632,0.7158484354824742,0.6172525788759878,0.553807361866796,0.7303586491258341,0.5263244396878912,0.5818405601569151,0.5139967995356046,0.6504509437108583,0.5836705245963314,0.5725470191781561,0.5122977086555218,0.5399007980935516,0.581383070099775,0.5244150692998844,0.6031444464065587,0.6084977889706518,0.594460908257864,0.7351264313702182,0.7721675286223951,1.353470380140092,1.8720746311260368,1.2123750237178779,1.064348146180755,0.8066119908392592,0.8443533541613734,0.7431340563023002,0.7545538337979439,0.6186972588463233,0.6347270743153836,0.5250083197913812,0.561503971336836,0.5882094453393202,0.5697788778720025,0.5312603615065279,0.6580094762248526,0.7470856989019141,0.7339725744114651,0.5547309205245984,0.5041667959912578,0.5832424740101176,0.6411297973260583,0.6789072664233018,0.8056825044372876,0.7824779789241296,1.092534068827448,0.811270509669441,0.860075578954011,0.7620620812364289,0.7107295737667075,0.6928443547625583,0.7052949362946421,1.3095792924526892,1.392441331534373,1.5847627816038499,1.5121982374318164,2.145976105281323,1.087101254085277,1.842526621263359,2.113850088272045,0.7662840190431002,0.8996660107181665,0.7178422892929445,0.6247042236051271,0.6489699985265553,0.5683354404308858,0.560819035823187,0.6002509319441266,0.6290677335928334,0.6923285532505119,0.5817404960755072,0.6189401565871281,0.7148647018126626,0.6670184034864947,0.7306987966291995,0.7528988830767936,0.7996207457157207,0.772082218812656,0.9009845253656266,0.938189950917385,0.9084756212192937,1.1803559973531736,1.1560138517475607,1.1404200582224864,1.2183016894297678,1.1484875593854078,0.9418578358229982,0.9642663152745484,0.9464056225352373,1.7349793408782452,1.1000558237223494,1.1594395122783154,1.0295370579668262,0.9883938693884888,1.00055983267238,1.0005734542500293,0.8911271775730553,0.8003124843334609,1.0252539402237402,0.8741736539376633,0.9522192578030968,0.7738262864657902,1.042389308371289,0.8403092186912896,0.8700517687193157,0.8348578049050042,0.6355981821866409,0.7272653340884533,0.8600473323455202,0.9939667283709971,1.1450399334921257,1.3712852240723166,1.3186337423258967,1.1381320303396802,1.0510872069196457,1.2579169834329982,1.1518899205663904,0.9046674916302985,1.1144323848980138,1.1448041752193354,0.8980730150218942,1.0116080774601206,1.1970173791396386,1.0556680995346703,0.9788779787069012,1.0828572379061239,0.9810876361000493,0.9675446809611074,0.9049473803615441,0.8996601084647822,0.9200915135345819,0.8184558679569697,0.8414124833346961,0.8404020287425638,0.8468340357936164,0.749009736132043,0.790138015163017,0.9586714798420265,0.9103581998746391,0.8362559748545503,0.90350266696272,1.2250188553514263,1.1147994517942652,1.1240306682680592,1.219525395497578,1.3614193730506992,1.502870654035994,1.2341803488770153,1.039289458464722,0.9963858164608922,1.273287577795212,1.10037426874135,1.1204621847375487,1.0226031505136766,0.8297807366813711,0.6529477718053807,0.5240928302010514,0.4966382012426473,0.5507193587340083,0.6405595644915787,0.8161090048907726,1.437672994603377,0.6249535471920625,0.7504000880996956,0.7768799739450858,0.960409166204492,0.6542181061190894,0.9607555446381412,1.1228375022096269,2.119017323949179,3.6160013759841045,3.8234361422470964],[0.6372646535678635,0.4362757880580003,0.6069318200202414,0.44932395901161987,0.4594802037841799,0.4741922459458786,0.34413719014251665,0.5520123773527051,0.40960262533275105,0.399114553116264,0.4502741554946554,0.5752600810427232,0.4831154123951438,0.4020196247267928,0.5902462669219419,0.5471179449759288,0.512666614152454,0.5374577176705329,0.5706024610595295,0.5539354634223681,0.5904779229951457,0.6025063871926718,0.6605800512138338,0.8095038023784857,0.6365413558447558,0.5708289307695505,0.5113400569280379,0.48098046242170595,0.5229676822667202,0.5667128485029892,0.6347896561239788,0.6485407923486007,0.7556757750183795,0.7368164159929649,0.6768966629287767,0.5825800372766343,0.5890812134682203,0.5237966625523669,0.48105848460452055,0.5995940488293191,0.6938998549435951,0.548578181847372,0.5654586414392777,0.7834753307416197,1.145842164318196,2.3836752533518553,2.3493669981593124,1.2098974869763959,2.9215154952094062,3.5549438770983284,1.8451456581883823,1.5970987227654831,1.3225787655838053,1.1623922003173102,1.350811878148332,0.7704422044978626,0.6040678280466817,0.6654852595598956,0.9823824399198201,0.7685756230486075,0.6570789806793346,0.7341634103521306,0.7649385041145632,0.8387457903005019,0.6272543497753202,0.62284111391581,0.7899809169546933,0.6461371495452494,0.8902923384878845,0.7136163673669774,0.9827136621662774,1.2935116137163776,1.1197171707213347,0.9189551328424873,0.7709372243478032,1.0175563368330638,0.6743878950400463,0.7518667079709865,0.6640777074426731,0.6633953097877261,0.6714471825705297,0.6321361801223705,1.3899619902952791,0.8792485464842,0.551758042039801,0.5827120645634379,0.5500677702701893,0.6824593530087513,0.6014144994199371,0.7273788851538271,0.6704316329502782,0.8512807279362655,0.7196146195666705,0.7205342299199395,0.6664984926938246,0.7439655842364621,0.7064237428131747,0.7160258310128385,0.7214925613382398,0.9881457006487354,0.7520781866904906,0.9401951175983393,0.7562495354218822,0.8139690779248965,0.7933626909882514,0.7113988595988623,0.893559498981208,0.565616877355109,0.583501484215521,0.8133799430596103,0.5290251591455051,0.48024586698747074,0.41792734929770914,0.4341782509358895,0.41719198948650055,0.39447793928516584,0.4956142316289394,0.4575268009800865,0.6119580556176871,0.6034332321868989,0.4975264815493905,0.4667690265252631,0.44358157445648305,0.3673292410261698,0.36088628884501145,0.39698376224247234,0.41340161513503365,0.43441218495809464,0.44777842085165287,0.5432498428878769,0.4783039178496582,0.5612973868060792,0.49504660830713737,0.6292034822383943,0.5462129742572303,0.49782474677297855,0.6950714559784567,0.48270079242370123,0.5263971594893004,0.45366099096488965,0.6241646505747129,0.5635072927996485,0.5234344942954628,0.4499558613427279,0.468480985161815,0.48904901704835535,0.4404838415182181,0.5029766267345505,0.5081834342024629,0.5266989979142116,0.668546566404924,0.7129873562063609,1.2353006003071065,1.8836791672439068,1.1892090190380549,0.955782888723783,0.6846085514607031,0.746167214191256,0.6065300324429029,0.6563884826727808,0.5203367334084328,0.5185128825555545,0.4256628272539835,0.4551599562603798,0.4905191214825725,0.5326332620806724,0.48361239920405186,0.6632039835289796,0.7462493057022148,0.7281900291057444,0.5115780309202401,0.4380645616199117,0.4882443491818935,0.5473735947774956,0.5574691549352825,0.6800973954505607,0.6545375943705808,0.9590705373029279,0.6799692255638158,0.7301983115035476,0.661171019004124,0.608274906582336,0.5874574772576854,0.6089403617275607,1.3559703036119464,1.4142034275660669,1.6163513579369606,1.5357264972105702,2.1517910583447244,1.0783533086927495,1.7905874390473495,1.9978817841110887,0.6962291863495841,0.8229209896381336,0.6538701635947471,0.5653560271668496,0.5900430488854744,0.5054893544390949,0.5016942386927438,0.5461989316472067,0.5536991934982243,0.6180854623511339,0.5302502369514266,0.5424967451804851,0.6223018900705137,0.5987727594182047,0.6542935322714711,0.651332343028639,0.7175266391611979,0.6624648243591958,0.7708023986144128,0.8045719938651308,0.7823490901764965,1.006678982580658,0.9823462375102049,0.9750774758807825,1.1007544031009777,0.9840366689933748,0.8177539788677312,0.8374113575057799,0.8265487026176597,1.5322714557638006,0.9854225040234791,1.1407812256151637,0.9417709940968837,0.8893240079456728,0.9069126930450893,0.8645222970525644,0.8349357352462834,0.6879277426521154,0.9035371308014176,0.7559418956206951,0.8595680550958923,0.6813276748368733,0.9599630373628735,0.7879388323092809,0.8093734152759703,0.8942079321706776,0.583785221889014,0.6419359493218861,0.7286279478525293,0.8579078552895183,1.026737237893446,1.2691377645218362,1.1987563387952023,1.0207919704374915,0.9265377114479425,1.1250579900981625,1.0457699387897588,0.8210826330862598,1.0371958732917073,1.0957181915046263,0.8401755043621749,0.9541745087791873,1.1596612708413208,1.0328808173746362,0.8987208985302593,0.9870481996362888,0.8782955336418179,0.867279791283626,0.8326875541105633,0.8105548327267633,0.8049570181376487,0.7160207142611953,0.7738760815291819,0.7314755141082534,0.7448524241783003,0.6595129328647681,0.6931900324816933,0.8629027591781464,0.8186924101473493,0.7651408685172928,0.8094183282209119,1.1473538655686555,1.0395932317692091,1.039787625118631,1.131186516394665,1.2680592693515977,1.413072739047395,1.1041801235036925,0.9111202499509146,0.8555745978563808,1.1546233827875634,1.0161921723269336,1.052203792526123,0.9907214427021709,0.7643947341004105,0.6004370050919865,0.4705594248198239,0.4446220344356353,0.49707407236373685,0.562415425699616,0.709127860313679,1.5150502151119263,0.5568057009729285,0.6503178645827937,0.7252953548736069,0.9064270325924503,0.5548041917041555,0.8202220752206788,1.1169342271874214,2.292664495021828,3.7052762889362527,3.5997923537047405],[0.5882260208481527,0.3264257777361115,0.5241974496520809,0.37591159239941185,0.38067801065405593,0.4083163819915724,0.2535041260955795,0.43782374434964927,0.31591338939840424,0.3191911934433668,0.3766049346472467,0.47045028129331407,0.3921726305010144,0.34546644952700734,0.5230386074272598,0.46639319419048425,0.4607083016413364,0.47985775426917093,0.542738782292553,0.5068819097361872,0.5603598097945418,0.5704040401713114,0.6321733219317379,0.7955091073912588,0.587845015784029,0.5413303429393613,0.4663671447595243,0.4165171882314282,0.45167090490253053,0.47604380707579746,0.5438823266419585,0.5311633607462639,0.6291152240613394,0.615782835277211,0.560565002148356,0.48239402526287134,0.48099451593229164,0.43245326618408125,0.3971830068181169,0.49421286692497673,0.659538140653087,0.5121047140569924,0.5150128816327978,0.7999870996830634,1.1714548369917093,2.406407494038645,2.369478964908582,1.2372412848130092,2.9448959920944797,3.560157316971405,1.8580770322548283,1.5995116721169547,1.2561800673678287,1.0893506628776088,1.2566645022020866,0.6622637551671212,0.5287995588511564,0.5762130960476509,0.9261284652376964,0.7118566364470156,0.6019719648514065,0.6705541710878264,0.680069989330833,0.761601987910803,0.5781250330880041,0.5549981186794636,0.7463090762531772,0.5972280028256894,0.8720724131913385,0.6907780305559138,0.9734250686090457,1.250229573637216,1.0714434167030846,0.8518039077428093,0.6991827818523594,0.9518279777130088,0.5924010623246155,0.645625219936165,0.5546227160737167,0.5562909908886992,0.5484113459268815,0.5134807491483623,1.289322451150498,0.7197337423635529,0.5068434189757685,0.4662310308813128,0.44447991761056155,0.5806783244118763,0.49820851641778513,0.6236608636186195,0.5684921110152503,0.7526422772305218,0.6168745096508753,0.6050327360541307,0.5631575501699858,0.6428927269078732,0.6198185056120691,0.5990180062785178,0.5963405540776306,0.8419683061600483,0.6014552941687042,0.7974335096919838,0.609294332564343,0.6659894485288134,0.6489470326835263,0.5747996565562554,0.7698734317125001,0.4471866598153933,0.47268117062839116,0.742555498297944,0.4180257028559319,0.3553087383998607,0.3079536465836181,0.35776075776056787,0.3491011821249077,0.346868461700696,0.4468557354495175,0.43113338240255367,0.5801597166044516,0.5533877288414302,0.4689832755853642,0.41982346768094075,0.41956571783201063,0.3227509854112517,0.31598630078640766,0.34906828477315865,0.33273605343103546,0.3536184463223148,0.34039737285068616,0.42183149919609353,0.37491839322341886,0.43850924228193433,0.39219177415964207,0.5154395589011146,0.48355339376833417,0.43955465892568707,0.6623192449776286,0.44211728949261847,0.49753066407833774,0.39486347315153536,0.6118622688295732,0.5403070971733744,0.4889512388299485,0.3932114957917173,0.3976279614432122,0.4106504277870088,0.3641665580127075,0.40806405394273276,0.39352868009189296,0.40914396523465163,0.5369396387785877,0.5970043059445529,1.0790729286033764,1.8585709483266508,1.114187220299807,0.7986273854492119,0.5491305040654249,0.5956115338793864,0.46971677599479994,0.5349488683347735,0.41608758456901157,0.4204870889599047,0.35654601222528204,0.36225627737376587,0.4362808896080945,0.492147991829483,0.42788220120061504,0.6232042451999933,0.7093505039249433,0.6971913559274502,0.47053873621692915,0.3843732428559089,0.41349827186968646,0.44252659738487743,0.43759468651610733,0.5381169836218813,0.5167061762595541,0.8239966042003416,0.5320268232614159,0.6006411251414076,0.5476832393544566,0.48076587097987517,0.45986306634386914,0.48487883115713576,1.3426386137785786,1.4559595841919237,1.6472574386517613,1.5895952269888962,2.168898964038576,1.0727895508140404,1.7740163666380822,1.9209893422031052,0.6413992955666802,0.7937410901674327,0.6209332914848796,0.5008105295786646,0.5238684364373054,0.4084481384306144,0.410513472010036,0.4379340170117585,0.426884662673649,0.4876313765528494,0.40934209647560765,0.44210404064000375,0.5107709419003991,0.4979105966555652,0.567886653864534,0.558840281116254,0.6324838434038296,0.597354684152197,0.6956125840089027,0.7311106775316597,0.7337996163081455,0.9454062561049231,0.8898975366031752,0.8723508281505484,1.0457320385328612,0.8646045208342636,0.7052125829130533,0.7380720339693139,0.7091623174125902,1.456707632128493,0.9105619007206899,1.0513047186914168,0.8905924070840489,0.7818083174003135,0.7912409989805897,0.7804274514059579,0.7002653977003687,0.553344332450366,0.8104075231820148,0.659346681886609,0.7592677682213267,0.5712757907300057,0.9350416205662603,0.6920909960856048,0.7432819111209714,0.8409029407023539,0.4922627067188205,0.5465576074981887,0.6502897722648665,0.7776984575001147,0.970740790792125,1.1605579464879492,1.106849046727988,0.9416779779508677,0.8056780440438431,0.9916985983672114,0.9172145854110376,0.6957252357554473,0.8932265872841707,0.954542460824569,0.7371687249540471,0.8272237418723597,1.0333832757606203,0.9411039420976792,0.8209282134925,0.8879084970121175,0.7874137645686493,0.7521668253227085,0.7015044787015419,0.685898902419376,0.6975714202111732,0.6152153568340228,0.6428004672347211,0.6167781806254783,0.6419702791647887,0.5544060343112668,0.5802309243838468,0.749560135863768,0.7074575125115256,0.67584611866648,0.6967339769400421,1.0304523305963411,0.9124445783876488,0.9017558764576021,0.9842859461666061,1.175179742615404,1.2396298805989803,0.9527374193188044,0.8027625634371967,0.7440599460007811,1.0116205332508887,0.8799469773991422,0.9092821080446692,0.882005102513456,0.6688194364726416,0.5264393282047312,0.3834611853994439,0.3721915531963589,0.4074249012736133,0.4471130873702804,0.6181538825665631,1.4707047397930058,0.44832664073413003,0.5628452389350135,0.6706954491264722,0.7876930913130484,0.5299595392783439,0.7676115547430529,1.2514457650560664,2.581428999139116,3.919215736824817,3.906249514347544],[0.6029447124598182,0.36841198052916846,0.4922690948949065,0.4246080508143247,0.3960947854159967,0.4149353491254427,0.2529425733956456,0.381668451935283,0.28672456679215397,0.3132988774441948,0.36955705216697177,0.45697800641916286,0.3824657984575074,0.35313300659256525,0.5354169466084194,0.47085402043347285,0.4711633511322943,0.509798149680494,0.5871329109520781,0.5549280631028504,0.6272591937513228,0.6106166955688423,0.7160359879419191,0.9038803577671726,0.6044994303503886,0.5970223425800637,0.5200719374042692,0.4447331484292596,0.4705003387790186,0.4807694690732466,0.5612046213204416,0.5271953232690675,0.6540227704823484,0.6356065007882882,0.5658323866275947,0.5001164602999728,0.4876908104556921,0.44984464507655275,0.4248905049111335,0.5029408318028389,0.6599857888521338,0.5551803919185994,0.5474816525438081,0.8451363341773002,1.2109354640663768,2.4369048845606893,2.3805215202087937,1.2407090634156481,2.942733798058922,3.4567588189741163,1.869685168449032,1.5684135261474097,1.2344069052342954,1.1231511291162561,1.2375746317926768,0.6516838373150081,0.5595799784343106,0.6296273899130227,0.9269433822451086,0.7623942625718524,0.6454041773409586,0.6975415080035966,0.705352056040425,0.8306877478402493,0.6457835285346606,0.589739425990786,0.7902745242661721,0.6335244431058781,0.9135244513969784,0.7137231710437849,0.9768662082383909,1.2716140543265364,1.0809195963779377,0.9267189810182574,0.7330075084720348,1.0032078384357266,0.6330437003804268,0.6716341305654263,0.5671047207905621,0.5756978408745089,0.5526063952075867,0.5172856910678393,1.345443465666265,0.7001372783882359,0.5539754497242544,0.4657456108273866,0.4633624299263891,0.5724353182179465,0.5219534954375177,0.6350317505894861,0.5922312302437661,0.7867014531662124,0.6364943335941605,0.6208835411408262,0.577477560785523,0.6593316846906275,0.612794348715807,0.6066954710225061,0.6050680827334463,0.8709395709240637,0.5936363620467593,0.7634772559183359,0.6023993193226467,0.6350870029670723,0.6129593235385209,0.5432056330553092,0.7037057312220614,0.4209595627094251,0.42535121460736675,0.6931405287864457,0.3730782157576998,0.3333073895863923,0.2919431440576723,0.3517199887943668,0.3732628565692567,0.37161542117836344,0.46300768206432574,0.4598874227699416,0.6358306460006639,0.5715336054427694,0.5000634159899983,0.45851034996676193,0.459173937976276,0.36021102445877873,0.3109891902045225,0.33739686430597926,0.3207591966605261,0.3404835678745917,0.31123122441262396,0.39099713333312575,0.35172590967458506,0.39142466012167293,0.37265502414856405,0.49738523549899066,0.4598630968854184,0.43387512999837985,0.6467960627666239,0.4242103437401375,0.4613295898803933,0.38969259781198684,0.6265237512224646,0.5917302685147388,0.5168158950463725,0.4226786705276217,0.40660493778873374,0.42524420692675946,0.37513544911561225,0.4229104690894364,0.39670805640861795,0.4015140209483904,0.5067772305036934,0.6003067362944322,1.059131217834023,2.0129425094246383,1.2284642946795477,0.8170751927345451,0.5651448579228275,0.5960395346771737,0.4749839399362222,0.5321974871326124,0.4174399162566315,0.42639682925912975,0.38893713415681164,0.3900834572264173,0.45360448173850937,0.48472351618606074,0.4374857953937372,0.6342389373242711,0.7028904251560425,0.6999186176537455,0.46781812194755296,0.39110489830917744,0.41188858147839913,0.4376826818865587,0.4344725573742303,0.5266954111723936,0.521755445895382,0.7774490047740317,0.5318743024734225,0.5723410035745843,0.5589502580236484,0.4562819676851067,0.42926370125062246,0.4802516245989173,1.323770449396744,1.5434230028598643,1.7022683775733334,1.6879165274813739,2.2150852561616117,1.1297723770758756,1.7577333313538297,1.8166005190470185,0.6518179162473274,0.7988388556913567,0.6275034344504903,0.49769336998593594,0.5217915328791045,0.398235499446315,0.38416143653937807,0.4229747059975861,0.39095698988213157,0.4418717367456742,0.378426087958255,0.4191149283368376,0.4766529003007941,0.473358672256645,0.5438868727558664,0.5341877034059285,0.6051790082453803,0.5883414141560925,0.6796119492754598,0.7158880420804811,0.7288426059623332,0.9075677542937687,0.8685998456776954,0.842912371834209,1.0404814982404198,0.8355776076119354,0.6786255146811255,0.7123049338913832,0.6746760294129449,1.4093297924572303,0.8674418202159988,1.024043735422619,0.854123023000951,0.72839100896998,0.7458126903527896,0.731271730179354,0.6670674508562421,0.4976391421883615,0.7509635363455177,0.6132782847875041,0.6955797817874259,0.511308836223243,0.9255945989514934,0.6428781215160744,0.7316547356845541,0.8914457955205616,0.4679837996114212,0.5166527574685373,0.5958404970593894,0.7257259334796812,0.9241038546150073,1.1086546055451951,1.0705567377753415,0.8777527495405494,0.7534843270694556,0.9366676244843342,0.8484771913691698,0.6401080283554964,0.8332606539271681,0.893726967000516,0.7016402692129133,0.77943038907462,0.9829904718180917,0.9083359068465978,0.7960261546788917,0.8548361047709039,0.7580972087211233,0.7085272823977143,0.6490700638525264,0.6387534619754754,0.6550999377186544,0.5772514976768257,0.5980772806820648,0.5719822809793471,0.6086693662223212,0.525579276158371,0.5439851920921789,0.7280779287008244,0.6933758551010019,0.6580574232530711,0.6865617725529485,1.0260879653915238,0.906562999474755,0.8932852542531478,0.9961096919139868,1.2195962206099187,1.2200643688516224,0.9241806098418369,0.7749192289934859,0.7023356084003758,0.9635589462387087,0.850597495395895,0.8935254960288882,0.8628392434887325,0.642324554451515,0.5086743957920902,0.35893949576110284,0.3626873077742855,0.3747147010722722,0.4105788963076924,0.5902023147011558,1.5104933464664758,0.41415156638095013,0.55566615691775,0.7014977899777061,0.7164553499264844,0.5677435130978039,0.7863640507008162,1.370313276228987,2.7427507150354264,4.047406585808987,4.288889171436964],[0.5637702960613685,0.3522567232575697,0.43176392954665277,0.3786127494458116,0.39324448001564694,0.40303038908974637,0.2515666307907111,0.36321094895935163,0.3050281670677821,0.2962096322602663,0.3536454713210832,0.44992313281138785,0.36651790092515096,0.35926639372181735,0.5112810675860415,0.46153778624569985,0.47510485596107016,0.5194126919518187,0.6266783185979758,0.5860517069082329,0.6689504856536502,0.6522996865959511,0.7718027162808023,0.9949966631432196,0.6594293603475444,0.6622117936243996,0.5644378358599068,0.46996747132165906,0.47864875868443324,0.4807333740830038,0.5564586047106334,0.5133789522829835,0.6510304706251181,0.6252163682872116,0.5499731382498082,0.499373229918384,0.48109444810334484,0.4773423115890656,0.45820390647214876,0.5200106829889184,0.6812529002680248,0.6029831662835586,0.5923142447943036,0.9153897093889346,1.290321365334313,2.507413374808661,2.469003840073308,1.3047160669227504,2.967540418719004,3.4097085732838077,1.9152532929671382,1.5966238600484077,1.2271530502681658,1.1655159547018945,1.1910600047886402,0.6499206022603821,0.6160774490708053,0.6514459510409671,0.8896935992771348,0.8189515461720043,0.6782942847285722,0.716381510208263,0.7186406150081535,0.8551931863399238,0.6913201128248053,0.62799927933729,0.8139915051071225,0.6441203067321316,0.9648905930672959,0.7362150309292067,0.9747131128588804,1.2335087367258133,1.0418682024394825,0.9341090520050069,0.7487905178782214,1.0101422661509885,0.6547518969951679,0.6681678638020961,0.5741174050274979,0.5825176494488896,0.5434801734032358,0.5215927669061838,1.330141382909086,0.6250721767185854,0.635755041359219,0.4664874390974687,0.47846953670849046,0.556245035862099,0.5297046200683916,0.6348741738596082,0.6054105537925557,0.7932046432835648,0.6342065283851529,0.613546977076266,0.5714318062539128,0.6590356357784442,0.5982518584039871,0.5966853877999708,0.5871600580321942,0.8489420348189203,0.5615969326326213,0.6987509866908007,0.5787543203092227,0.589537432561889,0.5699783079011401,0.5101107601617508,0.6584834870315167,0.4009040833096002,0.4010839471779785,0.6742848936055958,0.34663119256288155,0.31358824429451687,0.2750294786615932,0.3440472905630651,0.3761934935278285,0.3733062047602741,0.4698407711948674,0.49349121056943174,0.6902836942624465,0.560865158157921,0.5140330760192574,0.4801009841423161,0.4923696382051206,0.3653312442385772,0.3004568073508804,0.3166346575085724,0.32708481960816915,0.33987238248941914,0.3042197635765353,0.37065914008396716,0.3402197898749344,0.37549751853375046,0.37458003916306337,0.48233463247366565,0.44393168951959006,0.42835675065787104,0.6656622193844624,0.42889338507925445,0.45040206345998535,0.40182390543202967,0.6721741751568211,0.6719905289572333,0.5666483906752714,0.4401252028892222,0.4210854961195294,0.4371867787964017,0.3793746854570382,0.41461952340784475,0.38349951298611584,0.39771266267300087,0.486479612082973,0.6049462442434884,0.98527773227952,2.0014258321958756,1.2897625740259266,0.7836934263096036,0.5517558169193828,0.5716794148351678,0.47374787381814154,0.4932606470862761,0.4122097651829842,0.42308140338681627,0.39796308255017043,0.4014001610241007,0.4423704537159063,0.518055848146947,0.4665053287839383,0.6786825893506835,0.7312924468746774,0.7231636404829928,0.48691119672754807,0.39384435905174303,0.40358554675726616,0.42084280771031546,0.4174071522554182,0.5029833438965091,0.5140714333961037,0.7327250702563902,0.5173138069975052,0.5469583138485381,0.5650995363800136,0.4328944837912115,0.4316457562552273,0.4977456625857096,1.3512891507959421,1.6284671585642727,1.7642621514766437,1.7752099507003798,2.2401841323212537,1.20781073310239,1.7465225579565689,1.6893878912937303,0.6961925006172871,0.8004322573352202,0.6653255495752533,0.5307838805016509,0.5302860225816182,0.3886112172711799,0.3927732414118637,0.42940371122768106,0.3676972781801553,0.41251669803961327,0.36195216724960194,0.3941159103680409,0.4468699624124872,0.456923148354098,0.5237032565502837,0.5063015368194869,0.5756993383240661,0.5696757688567621,0.6575526798105946,0.6887237682468326,0.7081811170448304,0.8633443342597206,0.8462388812454533,0.8225917161568159,1.0263600963925061,0.7912757315476981,0.6560803450862718,0.692337822366984,0.653559742788934,1.3526836003599179,0.8561939394219148,0.9886865670626811,0.837400672771484,0.6758468294058756,0.6897521753291536,0.6852083927725114,0.6171656265855048,0.4571068840073239,0.6998210150033599,0.5970626304883909,0.6741873241731884,0.4742133056749137,0.8887929827282176,0.6883253415653041,0.7388979019149182,0.9234967762567888,0.459191209323736,0.5148006342218178,0.5649494969758834,0.6772835313111594,0.8788907909999447,1.0575518021919117,1.0285159959691974,0.8268404514346145,0.7021825273534984,0.8742445073795782,0.7852021988648221,0.6008213170342126,0.7787513698383548,0.8504600702340819,0.6679248417620427,0.7273463617288966,0.9247745372106815,0.8870834666883015,0.758983214139864,0.80735215132465,0.7197592687175104,0.6480688416151413,0.599033563213396,0.5837851339322551,0.5961355925088715,0.5430382729025722,0.5547796365883222,0.5330710491532508,0.5795764888976743,0.49949163552787335,0.5204794212869644,0.719385023530776,0.6725828451623199,0.6516950413185333,0.6732824980858515,1.028041045111722,0.9089724135302107,0.8779590611313621,1.0089216900502198,1.2297332671621979,1.1565118629214926,0.8685530168042351,0.7419981202777383,0.6542958338177598,0.8906196149379444,0.7973706725572679,0.8603006457999581,0.846963001326577,0.6376353083079344,0.49360875736845633,0.35855410720610115,0.36607990227415893,0.353549369513785,0.39409842293443165,0.5628589691997028,1.5181230799646541,0.4245641651052595,0.5223172336014982,0.6990925416603876,0.6893710374008705,0.5679923932627956,0.7661576160563947,1.410586561067466,2.849247472502734,4.072630892469054,4.495278737654779],[0.5783838031513127,0.3773934721289621,0.4917120438924507,0.3870087159265553,0.3883355923332737,0.4336686557082527,0.30339966891401265,0.3886968347920734,0.307746474766691,0.3167431063295671,0.36948098812606556,0.4819637172383404,0.3945022209292889,0.3813062791963817,0.5737631587095203,0.5364652749026471,0.5112725995873336,0.6051259398391861,0.7151046303859528,0.6808391297885789,0.783375143395846,0.7292424767904605,0.8963799562388387,1.0777004973023283,0.7228654839890282,0.7333118113442313,0.6441731758325093,0.5411227768797386,0.5539641879331256,0.5449273215746482,0.6500734445112781,0.6056602920015137,0.7958239292180896,0.7655021327054369,0.6664026839381338,0.5970276954244756,0.5680193026579267,0.5428370830406096,0.5286391131403326,0.61981043151496,0.7182030940004283,0.6723566571210462,0.6704657092211271,0.8339094135076142,1.1463140139316272,2.324925486379738,2.130377617605792,1.0729900082960908,2.8165205995461795,3.1140237895259433,1.8059634969210725,1.443667585121207,1.266757078614178,1.2608201520977127,1.328427401253893,0.7452198108746659,0.6491519764667886,0.7709177429600453,0.9725693677172003,0.8452622262350431,0.7579806088048836,0.8302638406842023,0.8323822337444747,1.0242812499699543,0.7917308617901321,0.7306183098795492,0.8989359995846421,0.755190454378585,1.026664972095738,0.7656775222248285,1.0408005745969628,1.3717437390092069,1.0780327906096485,1.053732882566754,0.8332634997450161,1.1342925773992463,0.7694461284308584,0.8015793908388082,0.6919001776067468,0.6999470669854656,0.6634207255655666,0.6288494557981567,1.4750424536209017,0.8192427145583263,0.6060957833096307,0.5435328724200351,0.564066179135391,0.6562612879255123,0.6317896519014219,0.7751210639572347,0.736072719742997,0.8660264619139627,0.7495695002399069,0.7450177797105516,0.6805697213221934,0.7535817652569795,0.6865340847984246,0.6942941188751466,0.6756120308760576,0.9702077809662805,0.6602080579058297,0.7676487139289551,0.687980278569726,0.6575345659047663,0.6364082348976515,0.5624023259096717,0.7157085566810185,0.4402834219361591,0.4277464483556302,0.715738396604306,0.37634589250289197,0.36339821236893344,0.3178902594343111,0.3982679216293542,0.43950429356981885,0.41167907931295,0.5140015717305816,0.5323698580321836,0.7375853559589275,0.613186531836997,0.5697039843234961,0.5426021354726938,0.5319090214693536,0.3993308350916704,0.3183571379024767,0.3204438717261796,0.37830338812422837,0.3771457822360664,0.33070843010075535,0.40794280052090565,0.3472081642619469,0.3976032710552576,0.3801139359642632,0.5181469667221938,0.43113670588397307,0.41063555948035774,0.6206348234763798,0.43872519356588,0.4880748596742261,0.45397311036897714,0.7090006812411026,0.7165846089827664,0.6369486050123235,0.5062178511777422,0.4792037833942925,0.4961618754010843,0.4410695829377384,0.4686588379143384,0.4563628799146565,0.4239538023486975,0.5281440387638843,0.6360276241978432,1.0447600662455547,2.127138882417067,1.3090078223231871,0.867490121485804,0.6250564596119215,0.6450017177602874,0.5683627131722373,0.5942029627552589,0.4622121214807642,0.5076187017541356,0.45570808352499126,0.5039486720366879,0.48943208158340373,0.5432065383938662,0.4799967272022135,0.6053192709099797,0.6522196797979203,0.6781764114332723,0.4634109201226376,0.41705241624532036,0.43627707946384575,0.48329076179509617,0.5115070263975501,0.5944836302100064,0.5939763497270718,0.8320887259886105,0.61691293580796,0.6362004605911037,0.6503248016391281,0.5032114133304743,0.4880734055519917,0.5236880921243714,1.163861858751235,1.532252422141918,1.6355982703218364,1.7313002469568648,2.1780961698998813,1.2189222241115631,1.8719837995399962,1.8460569765195893,0.6840074488382424,0.8024842307514437,0.6284008931689261,0.5185929686221394,0.5548641639298099,0.36698483556362504,0.37699359349498385,0.42438418379690374,0.4168783362428102,0.47861870237775433,0.4055661229979416,0.4282467404347348,0.49136768723871665,0.4981213668306471,0.5581504524002316,0.5627646172388364,0.6379614758596075,0.6382457142705152,0.718482288913223,0.746272262354701,0.7715490413516632,0.9647775065536207,0.896903012683703,0.8449808505428056,1.0610893419669896,0.8057349324336842,0.6754519344383122,0.7221453898985457,0.6894750797137733,1.4165751877767179,0.8920394206520693,1.060155732817951,0.8776308768427191,0.7543814538785795,0.768058810899578,0.8217090162188532,0.6444666252814027,0.5211513420287479,0.8237266795752077,0.6965224161593485,0.6968268864733889,0.5232388629529123,0.9330637292256162,0.5906719461627189,0.6544946078970093,0.8408900783639153,0.44658844268494574,0.5621925513116559,0.6786492449041102,0.7984373823536011,1.004957033251376,1.1405706324144849,1.1351818886627487,0.9230852492508054,0.8075716375462658,0.9915340013281229,0.8655462775735383,0.6697943247083331,0.8628147429912129,0.9099298990833884,0.7210700109259368,0.788306875151021,0.9759100526392626,0.9071560448313518,0.8271396827810059,0.8798023010611785,0.7755655335214607,0.7365708315848896,0.678502757683889,0.6729392982195559,0.6825166635780706,0.6066645793079033,0.6232745366290577,0.5834761372591974,0.6217745235687864,0.5356930732025899,0.5488538036263202,0.7362012609843862,0.694083581343817,0.6313859168191397,0.6875907245479655,0.9663275108078562,0.8635524933118286,0.8347328263214588,0.9467044933028876,1.1842918595423293,1.1176264029454681,0.8536347588033995,0.7461388457970899,0.6772575234735912,0.879356422938458,0.7504013334411794,0.778461317931349,0.822632555840116,0.5732695528607362,0.47722643220224886,0.35675488434576547,0.36988505157912877,0.3938453199739581,0.46634946916523723,0.6531764520683464,1.5300408681872455,0.4642256143966381,0.608351532180139,0.7996239894703481,0.6658888893779611,0.6528682515852174,0.8849170798072039,1.6062441736918172,2.9882532763595413,4.355838670653354,5.114257202591977],[0.5765593644718863,0.4068273753967825,0.4499512729827339,0.39508887180223634,0.4376405458115839,0.43266356588897475,0.3161135473694755,0.3593023371757833,0.3153421962249137,0.3043880582276744,0.319074362794321,0.445462263905574,0.3571004163696295,0.3870124687898821,0.5178871348246903,0.48507045664346116,0.5005299020222307,0.5621279575109511,0.7057046747219199,0.6557120233454298,0.7791289300550054,0.7376832543731434,0.9410547705805108,1.1648652632876502,0.7490563348050461,0.7567157841618027,0.64621309187828,0.5120377731061229,0.5037378461182144,0.5031520714450741,0.6100712388500096,0.5442750962480906,0.7351670727342355,0.692972471666287,0.59866268135137,0.5425315082088069,0.5022312092819781,0.5205388300535415,0.5343076392245993,0.5972977345630802,0.7598718697031738,0.6836098080072013,0.6848149863636773,0.9838620978177859,1.3168946728703297,2.498783089873012,2.4051967815060524,1.292766862940758,2.9364669642946217,3.2214432203918846,1.9262343992405944,1.558923531550081,1.2636686893681173,1.2355422203674533,1.1872935099165909,0.7299973932554057,0.7142658692485754,0.7741737890607651,0.9518183651591235,0.9429727223364199,0.7781473791273383,0.815969648446268,0.819255570207183,0.972798041906229,0.80469388904039,0.717353819363943,0.8864430688243762,0.7121478475969106,1.0300298458157584,0.7864428483591102,1.0008841395761354,1.2715566016113078,1.0662256465706053,1.0415946866349899,0.8263651455497208,1.127402611125574,0.7410453985279801,0.7623046231317469,0.6431182590307469,0.6451642426531222,0.5903748057617203,0.5576151016088666,1.4039409622337031,0.6505205729155044,0.7013471608005176,0.4880610896908581,0.5198418376054362,0.6011851058413812,0.5798095868698511,0.6990537434296288,0.6964081463481081,0.8814980148461019,0.7321798166344564,0.7047053692018301,0.6317729991595966,0.7362591024971668,0.632591268836653,0.639092296605631,0.5868274752542401,0.8803553772076388,0.5806109587052046,0.6616672573097504,0.6100267669152251,0.5653663798814847,0.5597079103649668,0.5219619444059984,0.6435582454715598,0.4233610793739534,0.4232449844604017,0.7142718230066231,0.36477238135634316,0.33566317843951077,0.3255793462013277,0.3869988978745318,0.41808918681120366,0.436527821259799,0.4988649021038622,0.5487484168775769,0.7842006723593236,0.6024561324219863,0.572142231917813,0.5429053600721206,0.5567271429763025,0.4193644088541844,0.3439809035934561,0.3625389604706109,0.3837521814885196,0.3907392155500953,0.34258434851092356,0.41530026832943606,0.38213070013202693,0.4008063675712841,0.40386985822229643,0.5004776416492848,0.4590474943957307,0.4441454682096345,0.6552523518223172,0.45741589782372816,0.4736576358871171,0.4636648825720502,0.7340005551462195,0.7615602410971192,0.630528290292996,0.49275616849880904,0.47817048267895773,0.48403911519298876,0.4225437681715798,0.43268041502169463,0.4145388897796913,0.40178962228960524,0.47974236544491666,0.6115603336678856,0.9452985970203792,2.0266459463265902,1.309213390048196,0.7936138528079548,0.5538649550480593,0.5687125123245554,0.5050233192174702,0.5236235754034374,0.4493892271408416,0.47645829936347694,0.4323932584523946,0.4705089581264036,0.47730457221237194,0.5721239255737327,0.522958732488735,0.7141824905374811,0.7435525313574435,0.7409147948940382,0.5175777228122198,0.4389378083555819,0.4309270776420843,0.4510494434876519,0.45348556925205746,0.5259288189068492,0.5446978448331253,0.7596630924301233,0.5506001214522017,0.5531619977817291,0.6083874938878722,0.45320833767930835,0.46215514676913644,0.5542207291568562,1.3040485414224134,1.6790102910280211,1.7725280320798704,1.844258822527736,2.2216845086218573,1.2872499191245892,1.7651282844779108,1.597938755447906,0.7090862953007389,0.7883659442614966,0.6750909046672916,0.5724572735342086,0.574804389904825,0.4171657337549482,0.4290219046841629,0.4609364751755151,0.3936970631168895,0.4201978197941186,0.3854018394463714,0.41343207692245665,0.4550707569417622,0.46939939573209544,0.5437620920009479,0.5176591053234401,0.5860949494000565,0.5901865449057324,0.6672999968890782,0.6920733690730834,0.7167360670250917,0.8650380842722608,0.8506784540916871,0.8267038532623552,1.039037414484373,0.7938952389457635,0.6535131968476713,0.6904907147304284,0.6466013601020218,1.3360573384872432,0.8486939866452989,0.9803680038278556,0.8360281306810142,0.6797290103599161,0.7044177384725099,0.7223196390410292,0.6298117408116691,0.4830726947900656,0.712444402673013,0.6082649860626711,0.6499122820829686,0.4851064223686796,0.9547243340361905,0.7004403663680888,0.7433208635415777,0.9488241331159929,0.48186648202691074,0.5361980766062253,0.6139904437756141,0.7155796795626267,0.9198189051002913,1.0605551734635446,1.0449468267475381,0.8429308428565561,0.7030270476994044,0.8761307279622004,0.778215129782722,0.593672632319634,0.7600731555032119,0.8275841842577912,0.6594149447099884,0.7087147978689602,0.8975197112690801,0.8659225593287332,0.7591868512673005,0.7986970567669145,0.7099083251691525,0.6424263088151619,0.5939630151989882,0.576810111180231,0.594659285098167,0.5462687582296247,0.5455537224634808,0.5345118360972781,0.5785622932588749,0.5124899261938958,0.5345357768715677,0.7125416123348842,0.6680498151951852,0.672152268870264,0.682612188525854,1.0176175718742484,0.9037075564855358,0.8568397700206701,1.0203024021134652,1.2434838636010654,1.1311209029066913,0.8444663606151006,0.7468843269007852,0.6463523884796337,0.8589883768910289,0.762581582270714,0.8231156691449071,0.8129807172332609,0.633260487171241,0.5134574125956827,0.3966351426356435,0.4100621479899069,0.3743735378906532,0.40064597507502353,0.5750624326261816,1.5186526533788556,0.44668231201913267,0.5369808216375416,0.7502989902944476,0.6701317537732275,0.5964634050118598,0.7904663353677411,1.4864168900730916,2.932412217897678,4.1686456489731025,4.788927568761858],[0.60803779582427,0.43760727033275415,0.47221929629110715,0.4347202809121889,0.4412459068488173,0.44370272201325506,0.34732674211425874,0.3895212238052166,0.3471163188861998,0.3533187901233112,0.3971720494079837,0.5295674986110569,0.43135803535215933,0.43747678710505733,0.6187757310999622,0.606992594167238,0.5842396739603253,0.6683450507997568,0.8037672911910178,0.7731340624736528,0.9087759875644553,0.8593711697897602,1.0975393695227535,1.3023052734645804,0.8531094594210861,0.8463540639777266,0.7367399926506707,0.5967663781005547,0.6092129917452604,0.60208052488503,0.7573867079826873,0.7030562411700974,0.9345741700548233,0.9110534604571118,0.7643805815544105,0.685374257295708,0.6404494417750936,0.6335381848940362,0.6333833512548561,0.7199821921576227,0.8305483773224648,0.7929827499140839,0.8005505316984384,1.0279520633739139,1.3347115785222416,2.4722829647227385,2.331288309413215,1.2684971799152926,2.857092055929222,3.0314080215471315,1.9314826468109063,1.5189180851995168,1.3274611874874536,1.3344570726593332,1.2813590155428958,0.8559946379579362,0.837140520511524,0.9231024991925497,1.0534991180270519,1.0816427208892976,0.9168654846996902,0.9705282578640173,0.9880881895104257,1.147892843661991,0.9622418233484725,0.8677697696196269,1.0307934586868845,0.8528302132593447,1.1014074970391652,0.8649012858841917,1.000379633069425,1.2731369093585987,1.1171173892032138,1.1595584307692945,0.9815384864606492,1.2685976745328749,0.9141267463315651,0.9598002198371427,0.8186535519730979,0.800331187405275,0.7416642385496378,0.700531606917785,1.521683784349624,0.775491619448227,0.7572726612860854,0.5952597806736335,0.6593523418280833,0.737594077316732,0.7323710796409886,0.9148108550716396,0.8853830441975877,1.0524821498097845,0.9254175660776599,0.9453131508705654,0.8356432728158973,0.9513658506731847,0.7788334231544054,0.8249189251746369,0.7524228497041502,0.9963957103062476,0.7262731129051062,0.7611556500003623,0.718625710392142,0.6490877302041984,0.6186638135656443,0.5676183316360999,0.6811400723505706,0.4773124883726955,0.450302300658883,0.7293965757361338,0.38997957843473946,0.3797919203148152,0.372106981225517,0.4138265647632357,0.47386059504218686,0.48806248789652024,0.5647197786705831,0.6005639589275529,0.8462341076027485,0.6552155115844499,0.6207930453425782,0.6028531625213985,0.6118018051857799,0.45232265271258304,0.3620222415616143,0.3881130645783531,0.4059015162179434,0.40642474654157734,0.3702953900333412,0.42866005456133927,0.39337034550757094,0.4060208283297268,0.42138154748459294,0.499134069310668,0.47996133493839527,0.45951721903345344,0.6520917166430309,0.4810072116618137,0.5040631817905733,0.5070884220923736,0.7791460800133891,0.8530477383805934,0.7100918952216863,0.5657148058314023,0.5543351512220887,0.5713731899219682,0.49311768941980555,0.5081005478722166,0.48079821981316445,0.4599490862473261,0.5377945696236065,0.6583073498046194,0.9855678883467892,2.066133517139387,1.332777240043228,0.8677798627343642,0.6462673902724246,0.649323483662288,0.6020335246917388,0.5893840153102854,0.5053650099778138,0.5654832631589426,0.4985686374337847,0.5607229937088694,0.5320130129903583,0.606752770723077,0.5533956338012774,0.7284867380236245,0.7574401887895422,0.7649991345008434,0.5426382209244442,0.48205186300877806,0.4815942580839362,0.5278533610230359,0.55159552583294,0.6211422512020832,0.6477789160247186,0.8429532955719748,0.6684376463371315,0.6585729417512688,0.6975502257286896,0.5145620435271868,0.5032629831348127,0.5907842177446565,1.2481826962036617,1.6575958846231382,1.7300756691285588,1.8696745545393918,2.1842627744372582,1.329721312316823,1.8166239512429125,1.6217108521829082,0.7046670149009401,0.7786806991754105,0.6752308378566901,0.5798439850035425,0.5868703844680776,0.4234771517216685,0.43949547780451875,0.46287123900105437,0.41041387773461735,0.44581185979319543,0.4049636177641852,0.42366852518299797,0.4614873376810732,0.47898412554471126,0.5507364210963959,0.5298744421302466,0.6022738866763798,0.6099268087728749,0.6853440938285464,0.7019844564779035,0.7258994260692148,0.8772472822059807,0.8556495107545657,0.8297332125350413,1.0433953520301817,0.7905205975323919,0.6653764156709782,0.7025541695771935,0.6585777912331627,1.3741996822886164,0.8636182875627041,0.9965360196690781,0.8507465199006188,0.7134086781201467,0.7252126148183897,0.7528902321325182,0.645564752607308,0.4973836222809211,0.7271031746404921,0.6171163097734295,0.6463273344449875,0.478451644138283,0.9546038284101784,0.663238713037905,0.7229035915516155,0.939347849232855,0.47796486902049523,0.561258814654832,0.636844361418141,0.7315781963870499,0.9520167027336096,1.1066156474546405,1.0887381810547199,0.8604248529489562,0.7493785309887574,0.9363785074805806,0.8120192688276202,0.6281901861098755,0.8041720181761352,0.865421288163579,0.6846714596801787,0.7360231683366701,0.9278735270178344,0.8830230611467165,0.7805452797660148,0.8244616318479627,0.7268581708297978,0.6703426112557599,0.6239848241310751,0.6083899594393807,0.6179258000232097,0.5544028118818316,0.5570894504912655,0.5364911389511293,0.5820785875957413,0.5107966551479464,0.5355693900833735,0.7026147550593975,0.6612661264029432,0.6559377972489998,0.663349270726898,0.9915807094247241,0.879688685454448,0.8395881230613242,1.0243632745001834,1.2552416419474166,1.1245433887917922,0.8395286179252925,0.7419304637196519,0.6465392010910771,0.8480550440187257,0.7539376389968689,0.8139393529718774,0.8134178538933405,0.6069518223455478,0.5077411321812328,0.4051092884077157,0.4197934789991443,0.3895471652723183,0.4396909865184621,0.6127326305477653,1.543888691724645,0.4572138732546109,0.564832350652298,0.7857455696398865,0.645535920947421,0.6287678200494687,0.8265956075493791,1.5471075391317848,2.981455389169986,4.266754688105517,4.98942187910586],[0.6216893553630449,0.4256544595699717,0.4793377679822784,0.4071063345927563,0.4342633658397617,0.46465456302547586,0.3515826370011986,0.43052515301372263,0.3568284328209916,0.3487364602194401,0.3816642275001239,0.5131034268062489,0.43229415679772004,0.4400244337477936,0.6090765744037234,0.5948666569627391,0.5762211789616782,0.6778105881644095,0.8257607244978883,0.7935878386662952,0.9328272681433426,0.8776726541566023,1.1222786047688955,1.32667190389325,0.8667883435285478,0.8627256544464432,0.7492901879941567,0.6050514957225462,0.6185277174232443,0.605352962297046,0.7464508920064264,0.6790474978237079,0.9275592787218296,0.8906180785164537,0.7646746505313295,0.6825525751344216,0.6357004076270304,0.6266040318176216,0.6236762135226414,0.7076590283347853,0.827367083520321,0.7977531604991163,0.8007096522524206,1.0034427738830605,1.3175385336048455,2.4438724079463654,2.2772692820936578,1.2353029747419095,2.83863855321017,3.022493290116581,1.8962018471265205,1.4727441862366306,1.3215673295452184,1.3222358196759123,1.3289769163362797,0.8657840066177845,0.8179463584379733,0.9266571263537745,1.0663540932965327,1.0388338076878025,0.91586636866371,0.9905032753573418,1.0001789286194351,1.179757558937996,0.97537725225825,0.8809780894428545,1.0423067057656046,0.8839618022011412,1.1351444304504115,0.8684442737770852,1.072932308874459,1.3506110791804606,1.1171755983370035,1.2067080237311096,0.9863287047298109,1.3038774375814135,0.9234399351089125,0.96607711881765,0.8287226853993986,0.8150642778660193,0.7479653615935901,0.7099825294360103,1.553484752948619,0.8236857846371349,0.7054421395321567,0.5979197286720291,0.6576362872782059,0.7381913552359896,0.7339379182949964,0.9111516256106412,0.8823129077420908,1.0254825297725432,0.9071031720173123,0.9009957470620449,0.7926099732238299,0.8814538966100084,0.7378855255350061,0.785655372876108,0.729767860325501,1.0179055006194229,0.712548571604751,0.7899090631710406,0.7195722334850094,0.6725949640174654,0.6501816078579952,0.5813543259959897,0.7303659299990422,0.477473464586031,0.4518971079840094,0.7225665536364753,0.4058187443177326,0.3901889305037665,0.37251072090820625,0.4186587247296317,0.4648957292521562,0.4756453278318614,0.5660137110219841,0.6023448969782207,0.8631193960547512,0.653032815905469,0.6311385738356986,0.6008540699445236,0.6001252543419361,0.4371052386543432,0.36628117651674874,0.3771258826865645,0.40078494769019335,0.4009367656469104,0.36520226138940637,0.4355448439298579,0.3786127170723306,0.41399136355339816,0.4191784351896228,0.5252668122607254,0.46487984401478194,0.447142554652115,0.6428300386499674,0.4735845978891619,0.4863394443951961,0.49074547339825936,0.7675010421881271,0.8370111037499732,0.7105633805182034,0.5614933884857873,0.5614418729906557,0.5762658619950795,0.4983354104769386,0.506869094368548,0.48961083078656387,0.4628723333374797,0.5516130054853836,0.6696412590453076,1.0637721470214359,2.1576057461432683,1.3244816997555393,0.8986048508683485,0.636261512352862,0.6503767462272104,0.6052865633622386,0.6074926932011776,0.5006700449776889,0.5645297774912003,0.49623974985029007,0.5623371008619014,0.5245530709862463,0.5963283106520475,0.5345787438013654,0.6867515019887749,0.7175962022875164,0.7287656932734563,0.5122765352910686,0.458982022675874,0.47525672889995463,0.5213380695570266,0.5540088616500385,0.637761856794203,0.6456092214900795,0.8554300484676829,0.6631885553132609,0.6676510080978253,0.6839416427249162,0.537762559876566,0.5254015773761366,0.568982468597111,1.2239894389587587,1.6088124065019802,1.6921194716454928,1.8363978058497477,2.203650836107,1.3117413884882139,1.8441922096855572,1.6875322383269127,0.6887849852142715,0.7995138126034851,0.6752048011792542,0.5746550917212458,0.5811246484404329,0.4088117495431142,0.4167713049186318,0.4565108924739903,0.41872824452976615,0.4630138634763103,0.4108721682777871,0.425601111322695,0.49214211555786724,0.4964871464304167,0.5563182508102102,0.5477507169427572,0.6290164906501184,0.6115482116541178,0.6869514211129046,0.7249943225777251,0.7424995141463148,0.9143590073860673,0.8878622242958152,0.8569384979740082,1.0868754358284403,0.8414242581877938,0.6818552946160278,0.7276009872365818,0.6910132651070079,1.4184424083064122,0.8793579060933396,1.0362073030842003,0.8490609167397875,0.7470181608688556,0.7694129762075641,0.7986190754087685,0.6791015858073662,0.5236423745955182,0.7740583427456164,0.6350948041742727,0.661915459895058,0.487898039928091,0.9515831688669517,0.6695715354689966,0.7324355282285495,0.9206367785688757,0.47526191197416845,0.5548008833359553,0.6583841155822788,0.7809955706519336,0.9987068441268646,1.1205738395334508,1.116346087590306,0.9089764801966035,0.7719913318376423,0.9764636373949448,0.8346906993926355,0.6471882312934182,0.843117768195392,0.8923703380915381,0.7115437845642707,0.7839308430950199,0.9822168064472178,0.9114591531546494,0.812457100031628,0.870173426668908,0.769256087063451,0.7235546165950226,0.6592897078911741,0.645062661439597,0.6687047690226183,0.590426226253607,0.5879727468224876,0.5704600537022924,0.6091920670299572,0.5290468479148005,0.5524634877469866,0.7245364675658622,0.6774564975713502,0.6728407339116282,0.6856207406831789,1.0327495333469212,0.9122081922336235,0.8694627750850571,1.0052290516544358,1.2250168495844405,1.190566413824687,0.882043219223534,0.7709923325107892,0.6678870991428627,0.8917441922852738,0.7820159762771256,0.8329248399170238,0.8332066492715441,0.6399333319062663,0.5094580901098732,0.3939845196000711,0.4094820222509431,0.3988705881352411,0.4585328908167045,0.6301118330654619,1.5400238880996096,0.4756359884578962,0.5857230341336593,0.7757176819446869,0.662400174160214,0.6164613789696384,0.8403638097434833,1.4907147518157755,2.8420422667188503,4.1556388513885425,4.721017686636081],[0.6117292584091778,0.41626966162414447,0.4709850561931976,0.40653085602739936,0.4199365894141323,0.42497578503082417,0.27078835976418103,0.35926814020123726,0.278021539273237,0.28430154216405695,0.3238821737602585,0.42668233139248823,0.3486039694062755,0.37370890533833573,0.5395325805011325,0.502127320143806,0.4940533337011092,0.5818684743393803,0.7310502815182887,0.6852233629966835,0.8056236003841617,0.7592343013705122,0.9910652880005201,1.212072641077115,0.7659893040222622,0.7738127412706851,0.6631934539692395,0.5240004636497774,0.5237780566291723,0.5026167009055578,0.636685268555942,0.5661923731859607,0.7881305129994498,0.752220893144994,0.63687221911653,0.5699795382138495,0.5227346032730741,0.520883191814118,0.5303978198724941,0.6097167718851518,0.754248250909331,0.706291710986654,0.6957993516386068,0.9825363106705931,1.3299241212358464,2.5228415577870695,2.4253116848581397,1.2870654186100492,2.9408569388417547,3.228276591638901,1.93248759516349,1.5342843741675491,1.265302521087915,1.2334071165490181,1.2245724694080853,0.7488287280422982,0.7100887159195541,0.7916862825574099,0.9848440826656518,0.9461212533996739,0.7995234454510893,0.8565333000016637,0.8598196180856732,1.0466298763692605,0.8493154132902313,0.755313682499996,0.9346908452250852,0.7583736538578479,1.0544639720713216,0.7871061485546913,0.9991695054652794,1.2787011073997898,1.0795675534644371,1.1107689121923123,0.8720107648286394,1.1817335557281998,0.7949236936248905,0.8310326058399732,0.6903067809066413,0.689740174949991,0.6194463868129468,0.5734545131733052,1.4365682443774241,0.6980840331290951,0.6566580166377147,0.4910149112981506,0.5333561089053871,0.6195655061748011,0.6154207678021812,0.765865137670029,0.749547493252034,0.928979436519696,0.788565986108442,0.7675913305296718,0.6771304221442938,0.7765812190232217,0.6522412364402939,0.6806758825355624,0.6410808735456597,0.9366913790007749,0.6198737696021791,0.7265577051894825,0.6173605106415236,0.586024561334209,0.5571540439698116,0.5016935927274432,0.6570031055169997,0.39865219384784856,0.3909330791237253,0.69004176339054,0.3350515937854958,0.3058821321431623,0.28752718916980846,0.36330744732070486,0.3963268790021851,0.43093475356399885,0.5098834259783465,0.5609899443093049,0.7992956577622431,0.6044983688699048,0.5818994798214502,0.5433102145225491,0.56560097273371,0.4006533278757135,0.3230183926157745,0.33635017012791213,0.32334998442167395,0.34404464639738314,0.2998516257204076,0.35402208742386343,0.3329684210694663,0.36163755788127616,0.3538254430466751,0.46240093723217174,0.4356131620437965,0.4228221569334463,0.6723024117460022,0.45813130836153537,0.4745466377767641,0.45822633024194914,0.7457119097726859,0.7839195176311675,0.6572348071002301,0.5084990463871907,0.48327178867358583,0.48604827787825333,0.41802794621645395,0.42674796642514234,0.39671283340566393,0.3798547790771421,0.47366727859805813,0.5961588973490664,1.0206091058193427,2.095834807363157,1.2937590927931355,0.8286875523414254,0.5606989179714564,0.5721122528594905,0.4986978711619897,0.5190416372231567,0.42846155514110124,0.4694415839490939,0.4283278702138238,0.4614787202716746,0.4741437474392433,0.5617932950397344,0.5115855177286037,0.717945735388783,0.7492615439621487,0.7442312688724123,0.5099188255857965,0.4237650059901442,0.4158910532389592,0.43964769861398023,0.44877080240639416,0.5267245840298932,0.5444725143124588,0.7882508739875713,0.5584772117948735,0.5729598200786473,0.5964341526976299,0.44164144893972807,0.4296280752127785,0.500804444674216,1.276444017454082,1.6204587073299528,1.7206955503894892,1.8084095314183544,2.2223045044580036,1.284836188099533,1.7941433103966533,1.6484321943531859,0.7013807489587885,0.7886586303413308,0.6688981389221695,0.5403964884177722,0.5364841082730174,0.3766373118566997,0.39940687541828473,0.4231875260978742,0.3735344605466632,0.4146025034054658,0.36353541711592663,0.405686629354089,0.4725430035281779,0.47384336900002894,0.5512850916409103,0.5397317158101366,0.6120799657719502,0.5959221013137462,0.6799682248700928,0.7213144463297642,0.7321453437062235,0.8913916938023939,0.8892030693242502,0.8702685360454905,1.0823338811852543,0.8608358216696526,0.6954512781152102,0.7434675408669634,0.7116797889030376,1.4216518171596007,0.9085175878654889,1.018228994645236,0.8406746287597388,0.7042346178828874,0.7274210991143194,0.7416494284341598,0.6553379886980704,0.4845613198290903,0.7367576113033693,0.6073551265815326,0.6778586106172788,0.4792020674467289,0.9171260397301236,0.7135195999751405,0.7616963710237846,0.9208456017556281,0.4671904517754808,0.5084926631502003,0.5943480352458721,0.7252249605975153,0.9264093481782656,1.0937128319293732,1.0702602856002794,0.8634819262719787,0.7396351737555484,0.9430089568929825,0.8227109944871451,0.6246975387962193,0.827659952465616,0.889040816658053,0.701173744252214,0.7760075219677667,0.9799407090072595,0.9180445036176227,0.8031693808092963,0.865889826958961,0.7672033749987739,0.7101061909671698,0.6372810213459092,0.6167736269046127,0.6534299310335284,0.579197468912806,0.5778124646228612,0.5726265224692318,0.6172030775903633,0.527497284072947,0.5513576044477382,0.7509824412146655,0.703257662490792,0.6983390164602521,0.7178999204378134,1.0844175304858523,0.9602611268432872,0.9207215398481463,1.053905351256565,1.262746838391053,1.241695626764209,0.919015163455252,0.8010494078989994,0.6858826230813174,0.9159812848823169,0.8242313767929205,0.8884530594471991,0.8609523688977183,0.6595936292903753,0.5105618654617178,0.36951310937159754,0.3838257476337348,0.3639159417559902,0.404677660503036,0.6030115794903812,1.516434038512859,0.4345913158407758,0.5649488078467859,0.7382463041580555,0.6733934256305787,0.5840979268646838,0.7997072060769952,1.4003239178485403,2.7580532844696055,4.044456838716636,4.423068443387355],[0.6092428577655905,0.38538842105310955,0.4806170994420562,0.37531664269650816,0.3979436108830118,0.4355953030682003,0.2678068882650138,0.40221616325471626,0.31404413877404047,0.29900136908222336,0.34953915516287615,0.4608408653444617,0.37283916774863746,0.35959502201237925,0.5419719584377212,0.49386662113005897,0.4874743241862658,0.5511991862405965,0.6649173381728353,0.6256658264289647,0.7300014747506384,0.6856420857515303,0.8628639397558939,1.0589264882652434,0.6821905534914298,0.6908250128061597,0.5932471468158256,0.4875508372336104,0.500361261299144,0.5027164886180279,0.6134872665354508,0.5679875561711568,0.7466707916006436,0.7238815819139856,0.6178925072394152,0.5460560879498476,0.5167842972047285,0.4988381943788844,0.4763553074936698,0.5655691375976395,0.701568921671792,0.6221780192022213,0.6135256131907998,0.8819871949070114,1.2358230498760976,2.4567112734258467,2.358281301131187,1.2104219411462578,2.921833043429821,3.302556403577263,1.8646232128318159,1.5171216848468982,1.2477310625772593,1.1960842952426658,1.2546220347936523,0.6951540367220796,0.6254038240927369,0.7143063558438594,0.9480085789560881,0.8356577408513213,0.7142155011822491,0.7951295081582404,0.8050323233889914,0.981550615235298,0.7615299812864871,0.6920409441219441,0.8774767810084091,0.7126529502124138,1.0195077541822701,0.7585102433132558,0.9953684966202423,1.2926996516018372,1.0773087787836026,1.0414061232645484,0.8270953335696145,1.1167259377750203,0.739611212260984,0.7819976447882885,0.6578107979716052,0.6497381526139441,0.6093129904401,0.5719813249577544,1.4399074650501802,0.7502803857080713,0.5711628603246945,0.4859006277925733,0.5140940423731,0.6077572719031687,0.585447070753876,0.7337572407684799,0.7063854150932027,0.8672950389322088,0.7309672064771152,0.7164095203920133,0.6447264352458594,0.7352837238174323,0.6569342661939137,0.6602252284019184,0.6501189999197227,0.936129295953808,0.6334085706457012,0.7690426654660787,0.6291855969725383,0.6289446082420617,0.6036417038053243,0.5343962769123876,0.6945146258399918,0.41131176941507447,0.4210262077530434,0.7050941172273656,0.3700164613410413,0.3278029662077871,0.2961863094248265,0.3507209270493931,0.3850944024441961,0.38021928150760753,0.47798512244987634,0.4993751165436415,0.720660100248034,0.5762683655790255,0.5342046940653329,0.495108322131127,0.5081069168569751,0.36520032371754574,0.295584842327111,0.3087664886451481,0.31782438475532193,0.3316763121902378,0.28120449927991775,0.35584402724008046,0.3218684975489132,0.37346491775146645,0.33749412947929475,0.46575453604681244,0.41912091887504654,0.39932922756061134,0.6651169573748472,0.4323584749356758,0.45907116441485996,0.40983506488480775,0.6788253350384127,0.6924058065772055,0.59362696276294,0.454608422299195,0.43926439792879246,0.45977635084757074,0.4023079744947826,0.4296609054385427,0.41016168533742553,0.40646534335599993,0.5127348719477575,0.6194451129065258,1.077786871645175,2.0839317441204037,1.267182559281593,0.8556674027789152,0.591821026727905,0.6038955955126708,0.5168389988299068,0.5319351235555557,0.42439178501700814,0.45954875134298917,0.40620721194538423,0.43181201730988644,0.442615081667928,0.5200448397751011,0.45721928285529423,0.6536832271711179,0.700214058522871,0.6989238779546766,0.4598396791324528,0.37602418753936423,0.3983914636665144,0.4395032317587771,0.4549700553152295,0.5445224028141787,0.5543589881263057,0.8056286033224411,0.5781675281552371,0.6025388976252983,0.5832332304960215,0.4506647369073854,0.43393592156008487,0.48290392671437193,1.2589126927688363,1.5584518215545915,1.6932488544721027,1.72255147478777,2.2130444017786575,1.2121915723707621,1.7987606468877846,1.7624554203224856,0.6545279804844286,0.77775204899314,0.61743197646466,0.4984203254757909,0.528736302143332,0.35592777898412736,0.3719643930711272,0.4145943566779218,0.3881576544624843,0.44758049145294676,0.3776430376935651,0.4134508578812904,0.49770888086715087,0.4890783910036164,0.5592750536577812,0.553688871458001,0.6280541030025524,0.6001069464750579,0.6885293482992602,0.7266118993331092,0.7332837926957557,0.9090949172764013,0.8897735763978679,0.8676850732171101,1.0715161632475851,0.8643249076638893,0.701943315945792,0.7477397357570358,0.718463801877998,1.446845493634301,0.9082475242469991,1.0343470626552733,0.8532541797727584,0.7292174122655644,0.7578723213776073,0.7831876676892999,0.6712807264198186,0.5139765685530017,0.7909221412465058,0.6470154019612412,0.7071827714376447,0.5142179811975891,0.9029041221668443,0.6712344155686217,0.7409871425382774,0.865903534875209,0.4572912149334189,0.5296506309644412,0.6208160924641694,0.7588327577244189,0.9460987598771249,1.1331861509591894,1.1008321172149313,0.8974107456985019,0.776767260007758,0.9729925542085968,0.8678077613158485,0.6649737728485062,0.8625172145242628,0.9179426337305848,0.7244171394519494,0.8048275064100995,1.0066769554371766,0.9295959778114724,0.8173358983165644,0.8878375187513876,0.7854954711616098,0.7383090146776625,0.6746686730825121,0.6551459298955462,0.6853766121726824,0.6057396120364451,0.6196362569917168,0.6003760160353473,0.6343121290823679,0.5389957041436619,0.5645661999905344,0.7684652934443336,0.7145769067387687,0.6792578202872669,0.7162724727083178,1.0724418554583517,0.9428601271193151,0.9153510773868102,1.0281646924140522,1.2366615448971097,1.2489171955390481,0.9322025651913222,0.7946865301620096,0.6996137052678222,0.9422901600000775,0.8458681853871507,0.9032873602000028,0.8710632863147731,0.6554794247448862,0.5027053906707594,0.3416290460915643,0.35330874622086483,0.36220947127122277,0.45012491796268883,0.6518066296674382,1.5298624918019037,0.46208711004082215,0.6011774741673476,0.7645431635959213,0.7287614503996427,0.5959239073936891,0.8205305946501777,1.3592139967545633,2.6877291072901652,4.006093372984432,4.29452468137083],[0.576149992875584,0.40591046068981007,0.4765499254641538,0.4068634394942203,0.40312972142815723,0.417435487066855,0.2829636258377556,0.3783290700242618,0.3210931599960163,0.3082749127853843,0.3464159501972469,0.4467628051616335,0.36724574481035294,0.3806949624471023,0.537133097974745,0.4893541832191162,0.49636404346906304,0.5489305520916786,0.6882215505322451,0.6314557485967848,0.7417419734218832,0.7110708912762016,0.8762645501731963,1.1057930876725954,0.7155470849668518,0.7226217994201032,0.6118113429177908,0.48616762986199585,0.49442115582995777,0.4971513357166011,0.5945279171023621,0.543366850312842,0.6892462223424892,0.6782186108982333,0.5781702045055193,0.5315058523728449,0.5059740225673205,0.504499611664562,0.49166166899522323,0.5532799041910169,0.718502807893781,0.6555625124566281,0.6562102775011858,0.9994629010048971,1.3824136116438077,2.5782802934614684,2.5849935029368516,1.4027341909347855,3.0047973152280028,3.408892438735738,1.9609550790128603,1.6278251107010915,1.2499639166983587,1.1749194807271983,1.1517936594664369,0.6774116836874654,0.6800550216338905,0.6962249046983371,0.9144161902320252,0.9062812311572718,0.7382401168533165,0.770267866985613,0.784052009100678,0.9395758756895168,0.7676405379940056,0.6900837119126721,0.8858903995482618,0.6998782217792818,1.034101216566142,0.7945275328520219,1.0057257342536818,1.2724245948581723,1.0789853279149855,1.0415649895702115,0.8135486443957733,1.0764105040325251,0.7235202069628082,0.7315563467999298,0.6238364974290157,0.6280722734710141,0.5677750541362504,0.5158169624721816,1.343258313042987,0.6196004896600327,0.6745810383907623,0.4617038450379976,0.49629741613056544,0.5726904669936175,0.5728218043058239,0.6882589599005522,0.6718071436298392,0.8605236935208712,0.7142688543550542,0.6829923781105612,0.6202631551365068,0.7214674509636243,0.62776280473909,0.6348259402290637,0.602588889744037,0.8888926429130841,0.5921655754999713,0.7148125682198502,0.5926170535493241,0.5741534621120338,0.5571426451290363,0.5022142548820366,0.6428464336924036,0.40419844163248925,0.415145736178726,0.6779681377003024,0.3629427207305948,0.32555581316093635,0.30278736681917473,0.36219557795006857,0.38935840523536913,0.40582565263662124,0.47805283549877864,0.5146510509458201,0.7555786085213603,0.6041880806928709,0.5587522207267729,0.5187709577260595,0.5062887106936144,0.38889882109137835,0.32122545817084586,0.3487246469408685,0.3323137488523875,0.3659207327711883,0.3274607398118374,0.37714672148035117,0.37768034486858454,0.3936080724717488,0.39005614674386924,0.46575638213426535,0.4583958701013792,0.44817258864700554,0.7113266432110276,0.44116091831638793,0.43469163827501056,0.4274496351289981,0.6960181654881049,0.7138378061505992,0.5946716095804833,0.45789046447886583,0.4466716938758785,0.46812038075458784,0.39283068675950017,0.42808707704368965,0.38504230852827726,0.4048059595022741,0.4967717927596324,0.6111176837614004,1.0170747103211712,2.0316144716665865,1.288452480286161,0.813339824465534,0.5775176325060674,0.5841063850419536,0.48258183892123596,0.4988947359690871,0.41159457804661287,0.44022150168234414,0.39526549678152556,0.41760054494835136,0.47247675925979327,0.5549265815837444,0.5146819256849825,0.7416431456018977,0.7781668738130173,0.7498792586279972,0.516553875763473,0.4100266950065922,0.41226501279506905,0.41563799315213207,0.41182046380229925,0.5006750185409761,0.530475036303012,0.7385798963005764,0.5154921164579046,0.5314996442390115,0.5571808618763803,0.4216427943937481,0.43107063156714537,0.5414994113240148,1.418072068040251,1.6833787570827945,1.8065654167536367,1.8167879510951945,2.2483130282786727,1.2396590223119468,1.6969590818471771,1.5854587789697991,0.7610927094397396,0.8262017745044599,0.707920672477155,0.5687561796111212,0.5645234744826273,0.4233124414118717,0.42979784660576553,0.4607488391205736,0.41169473621492103,0.4501240257458507,0.39868404674115915,0.44373879171840425,0.4909755117340904,0.4983364733643186,0.5581318925613752,0.5563815842938458,0.6334582399346848,0.6036736696241639,0.6859300956357902,0.7379871224102986,0.7427728241713678,0.8563768886050793,0.896726463501631,0.8552946039095668,1.082739041773754,0.8527204427476539,0.7019777791954234,0.753650033823134,0.7304231508177379,1.3861555697817112,0.9008513560413416,1.0114098846578616,0.8719792600805515,0.7095902968582976,0.7223639078514623,0.6744288833897742,0.68951037629952,0.5076492895156839,0.7154933701006908,0.5936968684763445,0.7084149888498436,0.5224215156008711,0.9206914438342111,0.7652558972782995,0.7889857378479299,0.9725376516242891,0.505028025452454,0.48309386941232185,0.5497280710083824,0.6814811766683145,0.8671281116447199,1.064228263837199,1.0196179015580233,0.8323817330309806,0.725854498696002,0.9064862974506038,0.8239127663335145,0.6379986386761352,0.8416767292225238,0.9183656894038406,0.7312357861510819,0.8091216887078271,1.0193385333751022,0.9715562530164878,0.8224828343682807,0.8808525240713025,0.7888020467721065,0.7271942726929033,0.6531969649158257,0.6371592916474998,0.678267604801958,0.6104397683570154,0.6125074259282681,0.609251345833028,0.6532651805515846,0.5687110871879263,0.5958708236669212,0.7996781386946428,0.7270774762791077,0.7134977542822182,0.7351608597855767,1.0887806007356007,0.967277696312898,0.9308391816264183,1.0665572030198873,1.2375092456272687,1.2786441510188689,0.9162365015527826,0.7800526251495971,0.6757841258420093,0.9078478937390527,0.8455055613706517,0.9253684369770647,0.8993574584365469,0.6936921692738427,0.5219480746358236,0.4038682132401712,0.40338063425285714,0.39588091861099645,0.4167343496900045,0.5882702032599559,1.5332937165817746,0.45102971250813195,0.5470899704887222,0.6944667614995754,0.7075368095482728,0.5291839102696714,0.710101078413254,1.2468551182329766,2.588547078610167,3.793200554426075,3.9629151417800523],[0.6593710988827736,0.46145863045865154,0.584640842787594,0.44985648274804957,0.43684808700637945,0.434522262201116,0.3148476551615674,0.455311098903694,0.3546836845950372,0.33241052395499304,0.38653730676752096,0.500637077315916,0.40257961248370017,0.3642178488066722,0.5337282571938134,0.480849738424165,0.4753437682609422,0.5168032549593299,0.614992206279506,0.5654713833176822,0.6624807201991322,0.639498978628723,0.7617903491679618,0.9675908739593369,0.6332995834194581,0.6342940573740667,0.5346005196430641,0.4430606335234557,0.46951951393414937,0.49511337577782843,0.5949126567976116,0.5648481913806168,0.7141618706581175,0.687414095740207,0.6010948086412846,0.5213197849180642,0.5120204726162518,0.46529043387350544,0.4255493516854465,0.4923657426142668,0.667596000864288,0.5776808745333929,0.5706797239368132,0.9059988946796673,1.314119017554559,2.5285566833852786,2.5309123187438254,1.3407352264542673,2.9848347139184,3.5031038276345026,1.8908801322761462,1.592180023701015,1.2117991013354,1.098496589610708,1.1884739144904715,0.6273345632790255,0.5794056786280206,0.6338909823126296,0.9249378965719453,0.7954289118927801,0.6649652253078758,0.7272487394946973,0.7429700294407204,0.8771073826087352,0.694444583136018,0.6266287272100376,0.8331383471871459,0.6647466019432958,0.9766563077584113,0.7459215844027512,1.0031939775240322,1.285751389261079,1.0775257222223908,0.9921685699769939,0.7753689654669453,1.0437560544016595,0.6708526619781428,0.7167463514463697,0.6031834580320159,0.5985156159730607,0.579673846848563,0.5301813016332351,1.3387961889675588,0.6772380218037868,0.5690926072323901,0.46982611552203646,0.47746790646005455,0.590883922201076,0.5471667086503019,0.6740375443268278,0.6476956310777577,0.8318909501648555,0.6929965171430404,0.6745646945050172,0.6187446419093539,0.7074805964195633,0.65311636177788,0.6489516904328801,0.6461691878408539,0.9322329546866422,0.6475550156290855,0.8151757378483144,0.6555654804123127,0.6671551030300481,0.6408278295753755,0.5741302132355384,0.7512459334543484,0.4753543022287019,0.4987769857593988,0.7165532728211407,0.43581886225936933,0.3809622118296664,0.3369257502040051,0.3655903673019178,0.3789493494721018,0.3673608167686484,0.45649779000076507,0.4752014643704875,0.6819718980379914,0.579897824792154,0.5177260991710211,0.46941092608488005,0.4771840897582521,0.3541825389695493,0.31589340396502047,0.36945250944857655,0.3712992948025774,0.3960016264070647,0.3936799884678674,0.4356560460198236,0.42254832123988295,0.46485596970759874,0.4321980053587167,0.5253917825435406,0.5169799284142534,0.4754092522037287,0.7382897373129117,0.44998714240932286,0.44299186631949683,0.39205682976458406,0.632533491206979,0.6270517741570328,0.5426562960249512,0.4185175909346168,0.41121219954664073,0.4354283568041098,0.3784651586241149,0.4363060161212311,0.40609461238329736,0.43409138627192373,0.5717923069298447,0.6516001739408861,1.1358584841411525,2.0013668788266648,1.2575333807357139,0.8764449179333688,0.621049242344123,0.6446783211879331,0.5081055857832246,0.5459118554276261,0.4342084741134932,0.42702459768895035,0.3838252111525347,0.37319777916503954,0.453331877332354,0.5017839105127743,0.4825733623435629,0.7183814052068459,0.79595298519461,0.7661926073865837,0.5275124840970438,0.4067288056802176,0.4264368741535225,0.438568322700438,0.43554981872021287,0.5388969252221191,0.5368495030827047,0.7891359155597957,0.5353167629521342,0.5788089402558283,0.5508361267845429,0.473429908805003,0.46856033842745515,0.5105660273902097,1.4482378088585914,1.6030015509455608,1.7635706222522785,1.727061284590351,2.259460580610796,1.1692529746178997,1.6904630021425495,1.707753945066219,0.7263260090281716,0.858300995399607,0.7184852083459641,0.5702743170284815,0.5768902848738696,0.483026249332946,0.48786354940310345,0.5070643884289157,0.5074518841373924,0.570140170717806,0.4930069413876472,0.5263717974456817,0.5940861297015442,0.588919803005679,0.635980058794978,0.6384323823923266,0.7304793105612291,0.6641351911873908,0.7583237836482518,0.8170094366362414,0.8073147072685465,0.9148504834518235,0.9632485891031384,0.945604269517891,1.116729367242207,0.9495815560550578,0.8011438889133439,0.8456086446051152,0.8391374653497365,1.4961873766363176,0.9974912554843931,1.0882836601700439,0.9766172449577732,0.8464455454446438,0.8197041378473154,0.7411406401809845,0.7714204124759523,0.6158185127910576,0.8128399383860178,0.6790775703280595,0.8063456035505225,0.6200933293935909,0.9292383632350953,0.7938904599980392,0.8360296285460792,0.9496867835359604,0.5569136237047764,0.5736636596342263,0.6360923123576399,0.7605341090489834,0.9257200188515057,1.1596672281631921,1.1026336822828868,0.9208682290713158,0.8543530114443711,1.0430817742038128,0.9497565648331032,0.7644003897146483,0.9879391567388964,1.0570438169423872,0.8282105727878123,0.9449974721650438,1.172370400272443,1.078241275453431,0.9188701077715056,1.000104100822018,0.8957051921342923,0.8612372374185179,0.7909863021409407,0.7741752107124188,0.7934288960921494,0.7122941521584814,0.7362972922897266,0.7200258597454826,0.7519421497979792,0.6465080127497395,0.6733491921689301,0.8699528090032788,0.7902270257133585,0.7608945943268008,0.7921916484103539,1.14568271950531,1.021688491158982,0.9999050229563791,1.1251546253339155,1.2655242088911587,1.3985259848394727,1.0309582357084648,0.8647929866265226,0.7769543348123494,1.0356710176508468,0.9525043663281068,1.0234264217562379,0.9540438580655892,0.7631334761801966,0.5653476736310449,0.46494412221474646,0.4463252673216399,0.47323759980454383,0.49367103524837425,0.6510468053246369,1.5781880484787938,0.5018111657892464,0.6041825183552731,0.7160073291087059,0.7747304269850834,0.5569640669935748,0.7339411737597249,1.1322743326988505,2.2955204537525113,3.56526737037164,3.4961032740127025],[0.6060442955365213,0.38461697481456547,0.5080958999228177,0.37273022894520585,0.39910067591572895,0.39199089270913184,0.2482166011446348,0.4456521236910973,0.33906860726683435,0.2995009327991782,0.3634105014304895,0.4908148408715919,0.37745159878072404,0.3360061405092386,0.5244600660349243,0.46119033017498723,0.4471826414133751,0.4693498687753013,0.5558931356029992,0.5112600629464578,0.5831854798425792,0.58180517698613,0.6964241813024583,0.8907692090672963,0.6094468400999499,0.5813757009018845,0.4814398101061811,0.40150649833320146,0.4320985059886095,0.4623785075499889,0.5530877446336684,0.5360628093435218,0.6691722979213665,0.6495048419857443,0.5570057943686811,0.4762793939684023,0.4811243175606661,0.409821325496496,0.3692457772722474,0.46165982428295843,0.658147621306978,0.5349740842065033,0.5222513524537227,0.9160984250652302,1.3361886663461398,2.570628801199083,2.6370788647948227,1.4379779155459125,3.035940499975468,3.6476114555883936,1.9676394432891402,1.6667845807001695,1.2314135411961251,1.0800425755489165,1.1769689110134085,0.6092354547090878,0.5554454095178981,0.595724028964427,0.8968588654713616,0.7625498531755628,0.6119977200811882,0.6705369326924184,0.6859120294335846,0.788886872310889,0.6148635115221733,0.5733967129215022,0.7727746362913812,0.601512702004325,0.9057081250546937,0.7080102295416563,0.9530128517324848,1.2194912153786581,1.051209568141386,0.9100280118793287,0.7330324104440374,0.9980042887818282,0.6223613973100321,0.6660108129458455,0.5489859576004387,0.5444624277885605,0.5257734783244233,0.48175152898312795,1.2752935768728275,0.6298652491032125,0.547274314425723,0.4339346811592535,0.423224291319752,0.5504054666583468,0.4935646154424746,0.6310161176525351,0.5919224850970214,0.7887089776381978,0.6511417096184731,0.6418702747147589,0.5886538293701515,0.6864560139099973,0.6245147019418597,0.6255780689588085,0.6221194486319263,0.900647737824068,0.6331185931287431,0.8131204244770637,0.6242592249768971,0.6644173450293757,0.6252327558458048,0.5616615082573315,0.7660858309008766,0.4390055375951484,0.46983928632551347,0.7417504927400655,0.4202512430524868,0.33951092240265024,0.2906688290908908,0.31694119788726055,0.3264834724520122,0.3364341863631157,0.4387362430200388,0.4490214839826941,0.6280563813671087,0.536516317580933,0.4710208848896444,0.4288984177852927,0.4400174700784544,0.3206754498266602,0.29208655586423066,0.357983021424931,0.335798239577605,0.34124453754129097,0.33805676928927764,0.40170266335187954,0.3759191959635415,0.4348897436861053,0.3851845085503894,0.4900999326903122,0.47457015341761033,0.43249038177072235,0.7108719412407278,0.4264150255928751,0.4294190187775769,0.3779800348670824,0.6145640309864308,0.5944316605890704,0.4950424873942571,0.38472623660132815,0.3922790484005452,0.39602058294297626,0.3433269517256453,0.39398380298291635,0.37145751222139733,0.4165639228045915,0.5583228516598351,0.6300175067497011,1.1114053017263572,1.8800321590405449,1.1952720727625414,0.851393813720812,0.5856467844540718,0.6214224226336845,0.4685878286480511,0.5301013115072373,0.38154144833178294,0.3990897685304262,0.35159361588970595,0.33398291453403,0.4190501344201169,0.5264405723101957,0.4495384165785598,0.7053528721589335,0.7784083673134853,0.7409062356208465,0.4936184991456317,0.36898817687260654,0.37356281256387563,0.3976313550209129,0.3947303391461849,0.509620723369701,0.5111966552390426,0.7871285402512046,0.5056779271292355,0.5482448206127585,0.5062895956372361,0.44328766403321745,0.4266396375264145,0.4617191979209378,1.4777638407502323,1.5378325670608355,1.731342162391662,1.6740133529269254,2.24000661140356,1.15480425346931,1.7064997603401777,1.7220394492764874,0.7118360427727369,0.8186180376030591,0.6660185921059486,0.5310658068587165,0.5385421728215799,0.4274724720074427,0.43559017287993423,0.45570543727078094,0.41527398374841484,0.47765297564601766,0.4091433514472086,0.4365490496684437,0.49273607295937666,0.4850060725581509,0.5527810505153843,0.5389168770985859,0.6246227849897236,0.5446220325006512,0.6492008737905167,0.7086981856457976,0.7001156483292372,0.8017929853706781,0.8708032148232578,0.8589075669900376,1.0521396033160941,0.9034132688682863,0.7215908113832432,0.7599228814210053,0.7587508727327096,1.4382492875207735,0.9181624973381517,1.029864930455807,0.871474060573812,0.75090288928416,0.7751751217274737,0.7201355987062641,0.7326395709924418,0.5412177948885348,0.7651685900689609,0.629358321152701,0.775403148348744,0.5783492774080932,0.8718300448008459,0.7972696644026905,0.8128476271889065,0.9281171019000911,0.519137804160763,0.5110368663214396,0.5698031433897767,0.7029250611910058,0.8968210002908995,1.1647323191814125,1.066501708820138,0.8948162189890866,0.7969214550491933,1.0036844846435444,0.9283546751063575,0.70265510583695,0.9419795968067723,1.0273283984242525,0.7628234627454361,0.8830239986274153,1.1214366961504327,1.0387498257824093,0.8356834665244842,0.9304069535707101,0.8081761209418094,0.7701578545013213,0.7124552088223474,0.6859517751666863,0.7023081086280819,0.6131773850804587,0.6378950738650734,0.6300683153326939,0.6606823271953381,0.5615595332028132,0.6024134209562187,0.8061291277773546,0.7449724676992674,0.7400313280757085,0.7693337279001656,1.1774301419048827,1.0259565790988088,1.0086813975055469,1.1363696827669592,1.2773209812519015,1.3951694686956544,1.0342420659602705,0.8277339078702717,0.7307004443568778,1.053014413686363,0.9682935435157846,1.0542216229925994,0.9691664616873343,0.7426752466725974,0.5370929517143985,0.40353769131317896,0.39545314502705176,0.404827856257666,0.4338987108142299,0.5863560001263559,1.456562011353884,0.45657911622679553,0.510018365341517,0.6350004104287649,0.8096475819236514,0.43365296504427775,0.608813932737316,0.9298671157076656,2.111987077898697,3.3546585841047616,3.1207125042253594],[0.6175356240140635,0.4355651170171444,0.5749475618094267,0.35027719930993,0.4552477173135364,0.4107594797936352,0.2778947492095104,0.48111261500333097,0.358744516920211,0.29838765806742107,0.3674072969332302,0.4887328346807345,0.3693989445953834,0.3493993696592915,0.5262072052790117,0.46534894175101166,0.4389915812002273,0.47075547435163906,0.5794002771002016,0.5228753739249962,0.6115448980075094,0.6084783976276019,0.7342220616830716,0.9383434358660414,0.6144742863580603,0.604566222499018,0.4851870767654355,0.39571556656498813,0.4257054547197142,0.4585980334743448,0.5661367452376569,0.5379911330529036,0.6930490735700001,0.6693154356877304,0.5643649991072128,0.4790644975534825,0.4785970889005368,0.4085918437742019,0.37456949716029914,0.4582790150464983,0.6659051259656912,0.5599972219290159,0.5574627621330867,1.0022895851761782,1.441135352701343,2.6576848335664414,2.7969424574557697,1.5710306441883835,3.08514344478826,3.7150687733849534,2.0387072665455634,1.7270013239183146,1.2490164249725764,1.0671314943129186,1.151628530079778,0.6134974679645261,0.5891940131550137,0.6157706277376591,0.8970998902140968,0.7949517881997789,0.633379660822344,0.6882580894125365,0.7091226111194436,0.8119108457965925,0.653691892777525,0.591114416488979,0.791520636305932,0.6167964890242902,0.9558867689348691,0.750294853283982,0.9744825480957545,1.2401084418429766,1.0720051306320026,0.9610113646607711,0.7648575346852703,1.0441474567170326,0.6535986772960583,0.6974963401583874,0.5697509724233466,0.5463073470563689,0.5254254162818573,0.46910420875098074,1.255679803088493,0.6069788632105685,0.5766657538043327,0.42636693320453367,0.42411794358341526,0.5423917784280423,0.4998785189062934,0.6447941084089007,0.6179553087613998,0.8212126394939943,0.6907925314788931,0.6762626042342176,0.6122001994471722,0.7213076101256441,0.6384843066349063,0.6504653240293699,0.6390861961626192,0.9168021281279437,0.6437799445871483,0.8368907776422928,0.6313078627136074,0.6879499280824525,0.6497270881982125,0.6136337089331871,0.8297617479594407,0.5065076438041114,0.5410827028224978,0.8022046266515453,0.48132171667182644,0.3719902697469932,0.315054606318817,0.3398876973541556,0.33152103646624914,0.3468837715673339,0.44067039689455284,0.47146952750210747,0.6648599496300635,0.5288073779792127,0.49755277468699194,0.4368347822003253,0.4637197441814398,0.3214332639878311,0.3006803780046765,0.3923375245998425,0.423881276950486,0.3902461142275644,0.41823078547560594,0.453917732657275,0.44607492771628854,0.5019508647167428,0.4391865453977102,0.5324394150185029,0.5117690535483795,0.4658442676364619,0.7564736059314363,0.4698219934469811,0.4245325489994683,0.38814537616886086,0.6335700923740893,0.6402200294806952,0.5245484973184985,0.40026304742492574,0.404799270794383,0.3935036275086198,0.3477755286692767,0.3926991206635833,0.385148468949343,0.43419581541714114,0.5905356090756539,0.6552405975750837,1.1331211741688147,1.8426285229894854,1.1853923853165365,0.8654216379816955,0.5961615431815972,0.6400151512516495,0.4752036643235541,0.5451159104810819,0.39203962409886983,0.39062886340789627,0.36023748565232383,0.3389629531191013,0.42763868592750137,0.5705069401312849,0.49287871746767753,0.7585711866704581,0.8288937456095024,0.7689300445616831,0.5249266403028872,0.3934048023880488,0.3887557086319151,0.4088340877782365,0.39919520114885365,0.5163330867055842,0.5101782921845729,0.7913960395272209,0.49778098813302873,0.552144205096739,0.5004330887579889,0.4604420016256454,0.44396166255047936,0.477079582559144,1.5353806894178283,1.5457071318928681,1.7630762571250176,1.6988568836889075,2.2476888614241717,1.1928843043110262,1.6795943598530334,1.669233928870094,0.793484732267328,0.8626777366214649,0.72969924305902,0.6208179038599978,0.5966815288650338,0.5114601035120798,0.5379427165791699,0.5264950411936785,0.5071311781368103,0.5827092730603578,0.5013887692410438,0.5231561582118158,0.5939220062559368,0.589383337547727,0.5900186300998468,0.6059786904709055,0.7394780765822522,0.6122024824748847,0.6789724243763369,0.7928666906980896,0.8014924598353306,0.7690315696970031,0.9006800372853667,0.8610347493556154,1.1219385477195039,0.9384157844720263,0.7750848125165352,0.8552781019336392,0.8732059006881064,1.4380262379202347,1.00593326099742,1.1312261819456868,1.012833523947674,0.8604052367110318,0.8227951797963047,0.7468577560183162,0.7939021540076231,0.6413556301861255,0.8429843474431095,0.7336634288235775,0.8969456795637673,0.6887222295439966,0.8590801194685629,0.9400212876337148,0.8844936266198512,0.9722449848019631,0.618909145111352,0.5830403035845951,0.6518030384372225,0.7853283826875107,0.9790919669611049,1.2570407219986666,1.1430588160756938,0.9989015437256705,0.9280678305072508,1.1336375080238712,1.035885302513295,0.8262648097243779,1.089082435048108,1.1773777184796965,0.897265917931162,1.0512691607332203,1.310250493375579,1.2288057236921066,0.9914398747350449,1.10445148466923,0.9527957700983969,0.9257480421874155,0.8518353017575352,0.8157103909028781,0.8322741597742093,0.7275846615079662,0.7455092022023709,0.7408309811858856,0.7455926701727461,0.6532969256098395,0.6941337170862262,0.8706335807705041,0.7899776561132321,0.8156970537258363,0.842325699223641,1.2740027294855258,1.095674554092066,1.0564474396720573,1.2280357214947264,1.344566721228832,1.4807060486738899,1.0687255559996203,0.8383458223732362,0.7337279297752922,1.0728963075681484,1.0168884277039199,1.1373863038749612,1.0332419564175235,0.8316152204557629,0.6094105257260244,0.49817774986194197,0.4795124381179445,0.5236083085183717,0.5121333674687357,0.6265250173419128,1.374105837977099,0.5335113920252931,0.5495302290889806,0.6634426797555681,0.9184005175827329,0.44548247199413904,0.5476186100163012,0.7940378728518487,1.7692249571353744,3.0297256157964396,2.816026419361473],[0.5784787583235299,0.4710174432816053,0.6462122974109221,0.45003166730551336,0.480097600228619,0.4968210111063936,0.48015753656913285,0.6842139611185031,0.5344276768845065,0.49389870807296327,0.5524207692252621,0.6892731829891219,0.5783798993576494,0.5039446631797813,0.6712093066988242,0.6234075901842785,0.5808695680898445,0.6110003255264408,0.6213653519672199,0.6218054492098237,0.6427665710600766,0.6519637069315971,0.721624105617162,0.8553768782395341,0.7636952611767127,0.6590566786083233,0.5777894937171233,0.5713538500412473,0.608650003834854,0.6451737962507218,0.7070925637256318,0.7303017602446891,0.8280095082792169,0.8065121469334635,0.748136702124578,0.6548249525785759,0.6670158657516333,0.6013238712931815,0.5487693511253856,0.6914931112162594,0.7315488347763127,0.5621844252212009,0.5838191476809765,0.775396851491451,1.2093473907570962,2.4723492383206214,2.5526550468896634,1.3307856944904832,2.945017127109371,3.644313105181622,1.9281171039375458,1.6649464006475831,1.3837980072114702,1.2587489011175739,1.416241965572027,0.8418642573795939,0.6335537506777326,0.6960627612528631,0.9873186201550166,0.8166178848405002,0.6754570859384802,0.7368206506579479,0.7979321549983205,0.8927001133586593,0.6483426225601013,0.6791561044384024,0.8502294134406102,0.6889856573310122,0.9344487525437628,0.7776242123253696,0.9948721741706675,1.2684750503187436,1.1413358379273728,0.9662203636678517,0.8431953420299975,1.062002214341904,0.7329025840683765,0.789591119054817,0.7119649769243765,0.7107935800180498,0.7331173438486129,0.6820684525575784,1.3726280725136182,0.9134412374625803,0.6516830499506762,0.6661106299442879,0.6119364163705747,0.742641310508836,0.6631386713617935,0.8002218628022196,0.7245300958622756,0.9015325172510066,0.7761332279020823,0.7846846830780194,0.7381614767601028,0.8199801018920633,0.7649085086028967,0.7932286268227424,0.8109410197065964,1.063725247690444,0.8478121788674873,1.0454125052858534,0.8532262600330494,0.9488076430846992,0.9168209955733285,0.8464601567638863,1.008540396647792,0.6867725705217985,0.6990206560437251,0.8979099843038216,0.6577365890874084,0.604869231348872,0.5356045955575429,0.5390051990471126,0.5095718164738999,0.46455987112332386,0.6028442332857837,0.5292618687648653,0.6554800477257825,0.6405021030584872,0.5516589346790707,0.5377325664477405,0.5113690997708704,0.4660143410680105,0.47748129479120655,0.4814998576054321,0.5250439351750286,0.5233314918772729,0.5573634040925327,0.6401084559406843,0.5439809089714476,0.6320758679394173,0.5506863016649296,0.7021590595172158,0.5795537381536003,0.5478549925243695,0.747077838500403,0.5294156104814937,0.579122252218981,0.5283456594554372,0.6773857004575383,0.6540325697010615,0.5972825503499404,0.5240278487486033,0.5614164260857839,0.562642786630495,0.5265514573818162,0.5955099339474077,0.6255489759292667,0.6577129859972316,0.798785298515405,0.8489000737835588,1.33246882133761,1.8588666577379171,1.2521209047520472,1.0529165983875544,0.7981875408320556,0.8669109340217205,0.7259472849256392,0.768453646098137,0.6127856479840281,0.625701933519174,0.5150439950458524,0.554009155381482,0.5611760150356174,0.5949731851557123,0.5587941870520496,0.7430506082478161,0.8227763225638042,0.7739309533302835,0.5671016480741202,0.4932529829572589,0.5676466241911324,0.6385622311658472,0.6641506740382674,0.7927451351216017,0.7583932063976814,1.0423450828990235,0.7711158624745645,0.8403514532691585,0.7666492038421329,0.7029660767927917,0.6693451333651469,0.659461502644905,1.3978756708763056,1.359310273809185,1.6081418949640292,1.4923259437302194,2.0611361315344863,1.0690442560392697,1.7713909684951101,2.0577475922001205,0.7508504767758645,0.8169985822517657,0.6724912535763524,0.5914691687442495,0.5901143056708958,0.5689637518917211,0.5691512092568964,0.615960795200682,0.64185950453364,0.7518280257912627,0.6385588583595304,0.6048305889282171,0.7162262772771941,0.7097458162020932,0.6460843900411692,0.6926371421272474,0.8377715231114217,0.6922118566325878,0.7517768565730795,0.8292151945015591,0.8252350625965713,0.8704226032012475,0.9403057860242288,0.9202033337462198,1.1225145772240248,0.985274766626973,0.8265382990348459,0.891714769682646,0.9122929840194752,1.5149894060854219,1.0507381276753116,1.2318123941439687,1.0986887906276446,0.9786731594151759,0.9259432873736411,0.8534571389925364,0.8380106148324682,0.7891958743701065,1.0084094794909961,0.8541970042650019,1.0117037622984637,0.818998160726035,0.9268806838209177,0.9039731167260939,0.7994931838329529,0.8624051131013776,0.6385213089391887,0.7105652218661173,0.8195634872936901,0.9562590901417962,1.1369620026978704,1.4083311233940399,1.3265296910418982,1.1645464946223718,1.0951731882951468,1.313798326365755,1.2179428127878724,0.9858345498397201,1.2400320194952499,1.3186734698866005,1.0166369245685196,1.1680233285988684,1.405871470798229,1.2790447459287009,1.0421868983028888,1.155744559353104,1.00972223456053,1.0252649113430525,0.9983468052567281,0.9511799105959209,0.9125536051937309,0.8120549429716035,0.8906031258825249,0.8216104219000733,0.8097553713217934,0.7192510903929807,0.7753928892913272,0.922081050770031,0.8230950605087877,0.7688750327226956,0.8347806059271439,1.1683953386072108,1.0684109062660867,1.0671638601491404,1.2172923333054795,1.2948076102375041,1.5040765651021575,1.1102569976067784,0.8866789368745599,0.7897146515535604,1.1164462550405636,1.001327775093521,1.0755458446182478,1.0001984856650539,0.7738138812339941,0.6214950044592854,0.5469313508690411,0.5335871750503344,0.5958808779821264,0.6943060840043299,0.7857368837869241,1.4739275676151027,0.6952891635400564,0.7010132524221249,0.8275646197346604,1.1260716944282019,0.6155987032114235,0.6884983013027918,0.8882168668222148,1.8018794149354134,3.2113367564091013,3.1144000525189264],[0.5968966478437392,0.5036594009737992,0.6665192971606994,0.5165343474476608,0.5235866881133703,0.5289064369176436,0.4597273973388991,0.6531724354272718,0.5176572711488256,0.5077342997293757,0.5511773939746218,0.6680290925994052,0.5866941283802727,0.5330913212013725,0.7072349277304014,0.6598255487897133,0.5934058897223735,0.6552577117078942,0.6955965419308214,0.6841413654092835,0.7227759499613681,0.7188733849508351,0.8095382645887922,0.9643367278220822,0.7432247324881457,0.7079270689069255,0.6348735527329527,0.6003645761589765,0.6385078513564937,0.6752999623730289,0.738034116837555,0.7588687300490892,0.8734269752784348,0.84411724927556,0.7847064527463895,0.6927721843219452,0.6964192946140126,0.6257926521212948,0.5903178168992712,0.6965844981602983,0.7276186668839429,0.6647342094821457,0.6621828980296048,0.9091299790408296,1.2232377877171972,2.4658050942854595,2.469356991265156,1.3135419619953208,2.964962518110682,3.5764417942889826,1.9450302785769227,1.5428564630911772,1.36985613955788,1.2392338981553987,1.445954735542729,0.8601968806759905,0.7194430117454849,0.7872141350596773,1.0173072062311366,0.8563306012370877,0.7579838027407763,0.8172521488882946,0.8609252149366621,0.970384623064153,0.7772853919351412,0.7437213013550232,0.9258004232502548,0.7766445809405591,1.0241276434332096,0.8338330185933691,1.0775127979298544,1.3667230643278783,1.1848281339088667,1.088990721561414,0.8915311834837852,1.15507257479594,0.8114527543671125,0.870217744866502,0.7712973639499875,0.763109785676785,0.7533351696376882,0.7250041619597597,1.4656258911752236,0.9418499030407375,0.6370444782682706,0.6727858926573568,0.6615015130358668,0.7533951278092805,0.7130623664143251,0.8329212519201925,0.785261739722628,0.9350382854753098,0.8201700503833748,0.8299222505263535,0.776686003915806,0.8476905649146622,0.8103256606236041,0.8184699175274185,0.8315718210602483,1.0807979872190316,0.8601049527710108,1.0205887837255516,0.8572346709191561,0.8921061699325527,0.8644510822746195,0.810129230751268,0.9772937999500176,0.6770849797494324,0.6832727659129821,0.8980625259525169,0.6283139061501799,0.6012429096199782,0.5380242804768941,0.5599489932995535,0.5433958938126912,0.5231112299530223,0.6377023002029572,0.5763052715131359,0.724658890189369,0.6539083531342618,0.6049755861453129,0.5858768275424187,0.5537845637854838,0.4895784154381719,0.47399509441613885,0.47517058144796587,0.49135108582376713,0.5437125185474333,0.5672343536449774,0.6684979810400777,0.5998680214149534,0.6738078315158685,0.6126448574780771,0.7375117021581548,0.6457184347733741,0.610441588233512,0.7586962878173049,0.5843700048158543,0.5718296799678974,0.5585116858000594,0.7319312817999468,0.6907870624961416,0.643195514456337,0.5558684001082064,0.5798336742364938,0.6035228733999687,0.5625102386917005,0.625157931276406,0.6258490911054244,0.6408108423903509,0.7737917328671017,0.8196983505228064,1.3270949481439671,1.9495799742065387,1.2672085066889436,1.0456061553652138,0.7940986098056869,0.8441278049330544,0.72025877370421,0.7610256638910023,0.6209252258835702,0.6212515314106412,0.5358178597137526,0.583991037523525,0.5510170501586058,0.611800985626888,0.5818522903463162,0.7441914985453985,0.813382609031176,0.7905086764750167,0.5970279963628806,0.5480837890422383,0.5878203399263422,0.6638974503987882,0.6630389302721343,0.7624270595733348,0.7457171931045091,0.9738227738861377,0.7731862437338818,0.7706406558102145,0.773672838306774,0.7143987810390902,0.6849148813519335,0.6952732543552524,1.3704470099112762,1.3930377627433785,1.5760366969972324,1.5266910783218188,2.1726087037909703,1.1292875280592363,1.821094139801282,2.0379295315055823,0.798316203156101,0.8924572663925386,0.7186673985064866,0.6515079165241114,0.6413497386239869,0.6240520570469464,0.6170736991146251,0.6683014491671039,0.6809735143108502,0.7537340441322407,0.660768284716667,0.6588660201433355,0.7435779572028445,0.7200948386242207,0.7267039410223514,0.7572573546548987,0.8440217676392486,0.7505108796603718,0.8368992545104632,0.8967087057717555,0.869651880014331,0.9992823019822543,1.0368008549969279,1.0198681532377094,1.1827420133177302,1.059010874428567,0.9117538655457719,0.9656023234299043,0.970751594878915,1.6391060115035396,1.0913745605363452,1.2324983185810867,1.0699405302034095,0.9957546702176163,0.9789078345497911,0.9205644072789095,0.9074244670421602,0.8164637985023474,1.0028028097757167,0.8809140966388845,1.0091201510691312,0.8241111371693484,1.0058078937270054,0.9081228855855451,0.8701078515403946,0.9543170085547452,0.7006622157310071,0.7352950719035116,0.8287786402153883,0.9472093754085767,1.0923243251114056,1.3654208258581682,1.2720233577722786,1.09940243744823,1.0444038930859703,1.226815553760106,1.1398991318803302,0.9414824294437385,1.1675478716261258,1.221226139055435,0.9652584372375852,1.102206581571215,1.310541244036903,1.1633860192223946,1.0249824782183874,1.1379513875424245,1.0144472665162088,1.0082780171112102,0.9767943314557386,0.9591819627633339,0.9385822772260662,0.8405928401116322,0.9158341676171565,0.8633612264815845,0.8652525339140889,0.7746941397561464,0.8246163606140162,0.9802110409633827,0.901868693903644,0.836158185802742,0.9001545034209684,1.2077735118569937,1.105676904802658,1.104670192021024,1.2120140804279578,1.2990528542382724,1.4998895605430274,1.1342753134980506,0.9585614094155753,0.8773489996051089,1.1502967763103558,1.0395443619702927,1.0950513432795073,1.0414518610839574,0.817206902566034,0.6706552987691723,0.5882852123491079,0.5629935512363835,0.6129372487909345,0.6835096532031772,0.8007693877197082,1.5995967584466482,0.6581300418962801,0.7413478940153642,0.8271923662893776,0.9884633532998451,0.6304423870057478,0.8283909231413936,1.0289215598581254,2.1152279822808207,3.490177570497212,3.522931729040632],[0.5905359131792612,0.5246094952635002,0.6725973317442351,0.4722951623604358,0.5100241555973415,0.5007828067951968,0.4204627803154968,0.6569474681663678,0.48352041760542414,0.4521271829381746,0.4985665426424517,0.6516091393977165,0.538475701291746,0.4636481905973198,0.6460961683881415,0.6082908174168252,0.5434797381392934,0.605155973573953,0.6842814439251886,0.6394420103360975,0.7211543622092248,0.6972752273632301,0.8134966516033603,0.974068555790379,0.6809334039234642,0.6762147335806294,0.5877578445998592,0.524744186330317,0.5655497360040646,0.6154752501726298,0.7030623024920469,0.7399951160500575,0.8967873734536126,0.8494704781700828,0.7646746221597513,0.6505495193082583,0.6565374992609243,0.5634995140927705,0.5271677755725993,0.6479515571513972,0.7357290491935593,0.6347381464205828,0.6315939854214747,0.911709966211657,1.3240575075877348,2.549891377026735,2.561360333791862,1.3568974715815523,3.000535751247104,3.590641228406791,1.9686382548755919,1.5778823695722368,1.3450832526225989,1.1938886777207414,1.3806075496315615,0.7916882019487897,0.656286919450315,0.755032243015311,1.0099985466719237,0.8461319084358359,0.7288700968210039,0.8144236742357949,0.8482263470296028,0.9881581408628924,0.7551218609795841,0.7111523756683086,0.899722687288872,0.7583233582803035,1.0122518952493853,0.7994906933103517,1.0355593562403573,1.3266522495402693,1.1159387378396393,1.0551597460244029,0.8570668336044661,1.1357825477231276,0.7850374814633696,0.8594146583692076,0.7432334283615978,0.7350891717201857,0.7352442573667938,0.6723468534109438,1.4621242424509404,0.9271656965785611,0.6108093596136984,0.6189680868165415,0.6051620631226682,0.725940852540453,0.6731236657341807,0.8330106396873349,0.7787551682069871,0.9294468769445141,0.8175491516007954,0.8344324895689725,0.7618995632597861,0.8447118641231968,0.7818123094535419,0.8183457379957216,0.8396510152708777,1.1464819818243608,0.8942760684944826,1.071945792067408,0.8815110677208203,0.9286561793005614,0.8868246684224662,0.8275190241680822,1.0188434325232363,0.7020393512235795,0.7115272835927843,0.9313533028809926,0.6388741586870583,0.5806421287022877,0.5064010081071962,0.49910406609559677,0.46680861256260203,0.4600427535621737,0.5469495745788701,0.5209049381141544,0.705236720545789,0.6375660153708956,0.5784677426199554,0.5375274364740407,0.5185124961228434,0.42402401588215555,0.4217181253572254,0.457966621813421,0.4742299949959241,0.5139718724649497,0.5509542993137146,0.6479793217821189,0.5839496655070101,0.672295583980056,0.582503615544141,0.7245787803816257,0.6284702907490954,0.5776991071341206,0.7679140645689202,0.5295244638323583,0.493453171323267,0.4805952104812119,0.6580750043716934,0.6448416740076354,0.575255125739694,0.48873652105135645,0.5131360261324114,0.5401060868996549,0.4975111051568011,0.5701780707035984,0.5920256144811533,0.6152123963245697,0.7947887168310351,0.8532039110383812,1.4070034558223181,2.0207097146716384,1.3326965421464196,1.1090204722837482,0.8166614403147373,0.8785048473361514,0.71397885363539,0.7543570873636398,0.5863840966071829,0.5828716306274789,0.48420004749092543,0.5185841689426762,0.5063337206261181,0.5585506120574093,0.5421993958194727,0.7291003671438312,0.8189375436202648,0.7811348749365884,0.5757179424242851,0.4935648757790879,0.5456018417541905,0.6198877785591494,0.6268008954508584,0.7581461809210368,0.7314317675894368,0.9839969237066092,0.7507399855386779,0.7709512039110674,0.7284620169479181,0.6973095904704925,0.6632348573199118,0.6626593795021881,1.3642887488337028,1.4011341186626132,1.5972213534571145,1.553735681340489,2.2025982993187014,1.1675469331930073,1.8071794431723145,1.9667258798975078,0.7824363447620155,0.8578146869709335,0.7021772768075397,0.625632918573516,0.5939527100343812,0.6318891170650106,0.637406493137877,0.6952885301045962,0.7315512659729724,0.8134145200671749,0.7025165456195493,0.7069330644905006,0.8106231654574445,0.7826439673968758,0.7613751960448759,0.8151931167969633,0.9250117614908526,0.798412228633453,0.8746438481492984,0.950071136057841,0.9253339961157219,0.9961405049688031,1.0656261286376734,1.0471938497384692,1.2037106437089875,1.1171166678669344,0.9609949075597893,1.0162586665231965,1.029435672558521,1.6838558584357042,1.1481561020013555,1.3100065620000085,1.1543014172847974,1.0709197588080634,1.0452131050593079,0.9655287626636927,0.9668709131883865,0.8748330382521846,1.0359371389498082,0.9213394017073518,1.0508668598340192,0.861676982693916,1.0152210111859523,0.9454689787968006,0.9263378458923157,0.9805656075614968,0.75498448677084,0.7599118731939859,0.8699477969231056,1.0012151158737757,1.1643243535919015,1.4753473409163889,1.348569502056818,1.1654364142605946,1.1471944303570083,1.3348791390666337,1.227696173634474,1.0305805342868872,1.2811060047301979,1.3343945539145663,1.059105677570279,1.2293183975761781,1.447627147932673,1.276964905345236,1.1291497522360838,1.2567054524518526,1.1080866022731204,1.127587601213756,1.087239709690479,1.0694745695325953,1.040447592372719,0.9193100394838687,0.9925915472043357,0.9443203831275107,0.932491868062078,0.8323873750573776,0.8998897249558858,1.0352734344014285,0.9525337361745999,0.898610581389399,0.9500228663346703,1.3035088097278353,1.1781749018083987,1.1683388746534387,1.3115371814785441,1.3966062765782672,1.610228397110623,1.209819644904277,0.9980158385640203,0.9126999442699151,1.2120442405679641,1.103796032880102,1.1814483797005464,1.0939173734772585,0.8740706553811867,0.6880441937188608,0.6071089559226135,0.5589345924726556,0.642557182519768,0.7233401059076527,0.8546487693899879,1.6183863760212154,0.6851020612985573,0.7889148898118796,0.9320895511425192,1.0112667704119989,0.6486147903788486,0.8408583646132985,1.039581064468075,2.084354491259064,3.407829011295702,3.5351025493554533],[0.8432032893381397,0.8492266758418012,0.9729345196151536,0.7581287101241541,0.7980900166415583,0.7943200941171558,0.7231762620935315,0.9132920136457167,0.714505120713556,0.642923793310937,0.6425252843329634,0.7987230938107538,0.7069548798775579,0.6101241791130179,0.7436849454566226,0.7293828050268075,0.6540840534814644,0.7035286227113792,0.7571609163243067,0.7464393690433817,0.7761528027302347,0.759111174998769,0.8921455215427477,1.029780632002473,0.8985200282228781,0.8174750011010535,0.7467786848113083,0.7116522764670857,0.7072650778595427,0.7571916094347795,0.7760172221763278,0.861969594081781,0.9534041476084637,0.9095508503517665,0.8697453146124248,0.7543000710441111,0.806490708857159,0.707854404912849,0.6894617171057668,0.8090520113050973,0.812261482319989,0.7249201032829808,0.7072061537807967,0.9879171362790578,1.2664907027041605,2.5275122419786182,2.5913316277931595,1.4708662837405975,3.0543013228715425,3.7604982178327617,2.107207620733027,1.7219661341526515,1.45017418333883,1.3270632487155105,1.5001263625840227,0.9368578984146363,0.7993946346002685,0.8415646121530685,1.060753345668704,0.9216007689240604,0.8045254638376959,0.8387391021911592,0.8789329266433207,0.9888609113266383,0.8108348729079183,0.7817212819363691,0.9657100932703995,0.8041847097924026,1.0728660911322387,0.8949591849428794,1.1066798765170578,1.3827251361299826,1.2296182124752066,1.1200168088195104,0.9282116849346208,1.1390561079493193,0.8323163969414988,0.8944048687237486,0.8240498976976919,0.8300991909140483,0.8484028128896723,0.829139087162493,1.4944718336130611,1.0445461923514063,0.7963399004691252,0.8070614734570677,0.7405356407703221,0.8680351873214627,0.7720706600160196,0.8859401847357834,0.8014999356890847,0.9436878582630682,0.8296476439678067,0.8583618628003061,0.8121534842632436,0.8701807670836142,0.8338737721199663,0.8973446085624378,0.9466608840223161,1.2027857080157427,1.0105885800660088,1.2251359874622412,1.0446922981164104,1.0903962375393894,1.0542119031118256,1.0534748803818552,1.2989357001568196,1.0197897499421937,1.0404012447597903,1.2153114816758053,0.9610753514043759,0.8666848220919343,0.7871128357558304,0.7444953358521287,0.690154824540298,0.6732651203092745,0.7818559003949411,0.7466997065294002,0.8404782831998912,0.709603384224431,0.7115948191583753,0.6961052599368708,0.7104649908606555,0.6567818677840421,0.6465515438966316,0.6499693758343317,0.7564932917299318,0.818793780652331,0.8687045872629201,0.9450811895890834,0.9451508346140978,1.0403765516856105,0.9354255390567305,0.9946132455076261,0.9122445804745222,0.8481854559372293,0.9490147794095638,0.8010337059514787,0.8029210152492695,0.7461023919062648,0.9354030234213486,0.8649557242227451,0.7897837679124191,0.7191415892941242,0.7229878858940341,0.7165792591981248,0.7033382278032788,0.7618405878439194,0.8154985164594725,0.8429161668159253,1.0259020533611047,1.0359521521860546,1.494751262429705,1.880373937071194,1.3378763720996938,1.1916024092637645,0.954530453724284,1.0487676302768927,0.8792391916512028,0.9669350538873556,0.8394553740485104,0.7664485479988808,0.6986500163341647,0.7431125697211952,0.7470086038289946,0.7610760617736566,0.7892670229796876,0.9363233322968909,1.0093898744547325,0.966261262108372,0.8036877017970796,0.7562975896617237,0.8220381724925803,0.8851842237161129,0.8577672782912005,0.9416337628092665,0.9006680962534983,1.0813501456763044,0.9130370411730941,0.9291471421199041,0.951802478583493,0.9575662371637155,0.9361907240650373,0.9400568152657519,1.598575519933476,1.518321907869074,1.6778483332464456,1.5938675725084088,2.142386837281983,1.1906555404451675,1.8763878439866088,2.1211363928395346,1.0601788258850453,1.1139376157343577,1.0125182974370708,0.9690765662939856,0.9014825316776337,1.0228862982043851,1.0272372145066855,1.084115984926163,1.1352599013325917,1.1796468414485033,1.0908562697375075,1.1161873430730744,1.2081407257663697,1.1711532326756526,1.11574760749244,1.20218235652057,1.2850843902344173,1.1756481427313576,1.218053870614638,1.2916257225587515,1.274185750129395,1.2843270086408582,1.3506591051890797,1.3306215781595354,1.4737586227043884,1.4021546411956423,1.2917256072651089,1.3473484568404885,1.3607709182478294,1.9392848644484135,1.4300583993339409,1.5678377260175935,1.427154861680348,1.3924959139516149,1.410006461504285,1.3217251664231406,1.370181973596022,1.2418408140717048,1.3035113633408857,1.2767843778201373,1.3799764901826628,1.2158306239509593,1.3151779573101465,1.2869198401079676,1.2583634087746227,1.2757790212257851,1.1446100358956857,1.1461980946340045,1.2197373045543067,1.310246687912285,1.4097800876950544,1.711073439903678,1.5165140329338354,1.3967806317925358,1.4199156564154383,1.5343513081440436,1.4547856510156356,1.3465328034021014,1.5123431203677724,1.5442872172235387,1.3577222009944658,1.509194857046106,1.695174218002561,1.5615477768589496,1.4486683206554736,1.5514717341256687,1.4274528651231926,1.4561858314653193,1.40872288483511,1.4081634791489628,1.4047743717781906,1.2943746310785254,1.337660865399568,1.3198885919127146,1.305626086617502,1.2202279165152488,1.290526187889048,1.4034109738923104,1.3063083378659006,1.2574025737712016,1.3138005253271061,1.5770652037421977,1.4526735009438783,1.4340124577770834,1.5311138344887942,1.5311939071612108,1.783700642742013,1.39872548974753,1.2723420171588007,1.1924406462885544,1.369443511250183,1.2828753530647665,1.341481852396337,1.3161469923477749,1.1724393589764286,1.028770522810432,0.9807678047549961,0.8960276707465953,1.014039885302598,1.0995589820880032,1.2103112619674192,1.7400594789429717,1.045957878155754,1.1765489654108714,1.3024891388352187,1.205137840071961,1.0229498287054284,1.19413092093482,1.4007527377550761,2.1559341597275603,3.164133021633674,3.4974034140508907],[1.106458320065686,1.1038314737427117,1.1967277991159786,0.9909283773255965,0.9947568009021726,1.0004349632275684,0.9541852460093041,1.1545974523340454,0.9568514810914669,0.8802574856200456,0.903190487539034,1.124633625743448,0.9798995308241549,0.8103243980443262,0.9802343855321991,1.02507643617595,0.8529036820949536,0.9113556017593425,0.8461463799945972,0.9033001915534936,0.9104729049608417,0.927296090032042,0.9763933063356038,1.0579605691514948,0.9382254726609006,0.8577870862085497,0.8632964380719991,0.8372222463226837,0.9144789924500879,1.037336170156291,1.063963374132788,1.2249296652238486,1.340251294366312,1.293310469693608,1.2300361541090854,1.0663745742516024,1.1632532125712534,0.980757334748754,0.944690610325795,1.0222945838494615,1.0046669912178432,0.9075441437427755,0.9436011681622494,1.1050035654674464,1.3796269505814351,2.5633018489611974,2.6143588830246856,1.5459536867426469,3.069080793441425,3.8246473505892515,2.1944650258932965,1.8548213346944797,1.5413036573280348,1.3843628380245314,1.7140085032914933,1.1703266625537154,1.024135204680292,1.1260915403690062,1.3856800335213448,1.1222260988638062,1.060237343623768,1.1234309388056711,1.1414487289876718,1.1089129408085105,0.9752833056071137,0.9900495249565748,1.0604680086315086,1.006305878684297,1.0975883360843042,0.9710549263137669,1.1581840732031927,1.3915595273860148,1.2738398147995176,1.1836081727988468,1.041017732727544,1.3175010436193169,1.08418464981041,1.2031912869717547,1.178373341713208,1.161289651310464,1.2178492202356932,1.2022975786973136,1.652160551048002,1.3584828205776691,1.1525409764584158,1.1531380697477243,1.0555344802150044,1.2471080011561255,1.1010553358703514,1.2497211647652364,1.1243857983134298,1.1614010759943698,1.1814837399635907,1.2242787978610408,1.1375736695340253,1.1929233606783038,1.1127154690459193,1.2601637234921064,1.3103789612930172,1.5452978793767855,1.3718632533617117,1.5518173655180156,1.3923797313667994,1.4281461357010035,1.4042736879770916,1.3858063953953188,1.616012442677502,1.3609938449316379,1.3656729504769263,1.4914533930484017,1.2603794545802314,1.137233495423734,1.0253488884899775,0.9585485565153917,0.8575019694605903,0.8148686756005318,0.8764512449268332,0.7596997312603153,0.8127431191452887,0.79850198382297,0.7446176603070686,0.7429747230665816,0.7305577464158691,0.775837155843312,0.8211585133882846,0.8889542867381243,1.0261481116855018,1.0715281218500197,1.1578271269704197,1.242353286379549,1.2150736486996225,1.3248157265622464,1.214990911850576,1.31633784401797,1.1890259186975807,1.1063532403042349,1.1926363211369122,0.9979629930381784,0.9673663470399212,0.902789268799879,0.945991989645752,0.8783375874204797,0.8472568999842418,0.834327301781586,0.8686616872370134,0.8881731078872293,0.8873075123998946,0.9874265439788623,1.0688112461012476,1.0853448797397953,1.2992344389384056,1.3146278723447458,1.7711345085213932,2.0252749545738196,1.5905254396442572,1.5040094737946699,1.2761829225451835,1.3645403835062233,1.1948134771281187,1.255356638401421,1.1018410006531354,1.0235702250192253,0.9421340636132572,0.9845507194841456,1.0312544556508265,0.9568175839823991,1.017534350163663,1.0901355133919695,1.1776505035738059,1.1159272120160475,1.0452726053629307,0.980211313928782,1.0835776183770753,1.138345114158835,1.1529743440907618,1.249826220289944,1.2203960394964921,1.3699535674087024,1.215956477179613,1.2835681675870214,1.1813794452954942,1.2390312847642062,1.2418179957635522,1.2392056437906138,1.6846136006892847,1.6680654117955855,1.8385137708921024,1.8180298618792343,2.235533090749235,1.397856586905908,2.065653943410201,2.4006618089062353,1.3070767275698059,1.357130996824378,1.211522696404099,1.1956020412699182,1.145533794361452,1.2938319738384094,1.2922427162730798,1.3391529770582105,1.4238835671848677,1.4846866629100377,1.3638441581711382,1.3740314195363157,1.5028000592912905,1.452761358999727,1.315963957468527,1.4642949846740774,1.5890495382780803,1.41746737878133,1.4482966555412427,1.555438844822599,1.5216088397744627,1.4695352005688906,1.574454947931846,1.5090337280352948,1.7436373522309068,1.5982327267624934,1.5352129817933369,1.647704668353417,1.6815828302974698,2.221523636064234,1.7117871077047218,1.797637858333034,1.8200413574959635,1.7382615289828183,1.6711277454961868,1.6310737138489297,1.613029047505471,1.6145171387888237,1.6550929901367903,1.6473352460382917,1.7880455730749336,1.5675932998332143,1.5704658641382836,1.5933670014128942,1.4201859960269028,1.3903123726292228,1.3862937688635995,1.4336716031904566,1.550493586153868,1.6636583933749887,1.792447314940858,2.0788959511603284,1.896032680737365,1.7725568801872953,1.777595359333671,1.8721153065391118,1.8052801220000236,1.6726233185584718,1.8398571641887391,1.8476312490132645,1.6595646403345146,1.8513396607165087,2.027470412838071,1.8156829261471503,1.7563968342455416,1.881361415864308,1.748044785223232,1.8012560958984078,1.7731926191067615,1.7598419878782223,1.732003094992875,1.6074741095247413,1.6990404965038182,1.6411920365211854,1.5977522879614015,1.5022901982150019,1.6096520933881808,1.6504206867567934,1.5290871838093025,1.4390678709194507,1.520151410471555,1.662317528177275,1.5912570959870265,1.5454729199795632,1.6925343487847138,1.566585136264177,1.883493089638943,1.4810335023770782,1.4216687792451117,1.3163585454248496,1.3939071058186243,1.3262962762451678,1.3577524086503625,1.39593623623582,1.3230633769971814,1.218263797962167,1.237741659995584,1.1210104402941319,1.2366059434839027,1.3843928487338808,1.4837960749933772,1.8169940230228288,1.3193233623727139,1.4065582678490898,1.5254205497302182,1.5325022338492358,1.2446914944966545,1.3771559859239464,1.5575787782844597,2.2223242995364867,3.222281852866112,3.8079461488255717],[1.7175430035262187,1.7340130706493866,1.80971901441377,1.5859910546790357,1.5851031016529633,1.5631011296785282,1.4818077323694236,1.6739807352100797,1.3946135656724843,1.2794967799331955,1.2518810054313294,1.520270464289935,1.3748763182424806,1.1335680704550535,1.2648698096026718,1.3722347220334197,1.2295560585679581,1.196009687543375,1.046907130821719,1.2149904957017008,1.1323976234281126,1.220667247652822,1.2080754786296806,1.2246468151885788,1.286037460910432,1.1227322240963316,1.2234682499924137,1.2211783743923068,1.2894808459906189,1.459066586356554,1.3925171476000424,1.6469174811769605,1.7613189704642997,1.6902482549511606,1.6526870171823784,1.4653593995963836,1.6313017703831174,1.4217021204061695,1.40284705866026,1.5010417834187186,1.389113652968484,1.2880802288095528,1.3311323861852145,1.40380125396858,1.4879033923411364,2.617235051451806,2.6866028401539106,1.8124900067921021,3.2501982067223865,4.04298513083615,2.4064006472364627,2.2775190413073743,1.842852250695236,1.7621420073247667,2.072022368339849,1.6089378068872422,1.470705466441872,1.5204516953865175,1.7441429889692812,1.503268438925428,1.4075146832725056,1.4036363980323991,1.4238335024046154,1.281156130984389,1.2302927052152905,1.303348182424846,1.2349432579929502,1.2153204122321124,1.1734483077045004,1.0890357305021419,1.1974758613151222,1.3739728803897673,1.3568267912634684,1.2239410650326288,1.2414854569462686,1.5297665958549205,1.372501190421664,1.5432632871691652,1.5661015985915834,1.5796439167005552,1.7057054609990712,1.7084686275335084,2.010064953940677,1.852844173018871,1.6549727759574484,1.6601992058627628,1.5041099915326153,1.7267472548399652,1.499349199482261,1.6393851391238503,1.4485198544727627,1.4563389527971646,1.469537927117658,1.5541318169634237,1.4563026204422058,1.4711671617795508,1.369817251997613,1.654965197676529,1.7312119329714601,2.0429182749258006,1.8780464916565087,2.0971569105139487,1.9188212354120184,1.9814484050687837,1.9707232925025007,1.966743196421418,2.231610018043161,1.9658302126559588,1.9614481601328138,2.062898364542773,1.8574172846041201,1.6978272698673713,1.561912585600911,1.4688181067008745,1.3125697924615325,1.2775850967109506,1.247914474090677,1.1944771601908017,1.1309794241814393,1.1285818312319287,1.0312107214258317,1.079017494864349,1.139219855875664,1.225832794282813,1.2992636211533164,1.411252329292248,1.5998821729713337,1.6482487399373162,1.7545332713022963,1.836454343027303,1.8260746106988202,1.9458122344675473,1.8204465870191862,1.9066583952975091,1.764552514233745,1.6772396525605162,1.7418933113216346,1.5890940288866904,1.558684799545349,1.4614869019658099,1.4150320177360975,1.3438629865367733,1.2895254762407944,1.340830383777497,1.3518153534522979,1.3372203479338638,1.3659156550608325,1.458579295663312,1.591123489897629,1.597415587495406,1.8468782110360962,1.831969864337442,2.2744191707738013,2.339683604446212,2.0569374269265857,2.0132921785746762,1.7733245379730753,1.9035656879860436,1.6986823211107742,1.8042349792659602,1.64884798556022,1.5235605110367212,1.4769304077612235,1.5073860017090968,1.622014345058324,1.4872515135015765,1.603856388761098,1.6540365016259106,1.7349358606518464,1.6613385102887224,1.628762946518609,1.562855749359805,1.6577314765864486,1.6943738917903954,1.6951669431124488,1.801913510771125,1.748196833828375,1.8776514524543295,1.7503255533311435,1.8285566706562972,1.706588138257863,1.82637073850362,1.8325695619587068,1.825157311834595,2.270766380190394,2.2080069024384557,2.335828309665825,2.228750349051515,2.4113778452694534,1.698883742857181,2.212886080615319,2.6676162612004197,1.8926959615947134,1.917026128095238,1.8016387620866423,1.7980224477792273,1.754995872599579,1.919166722022705,1.9168993722909178,1.9684079739417675,2.048190621915508,2.0918056456951324,1.9795598351382002,1.9948293299934252,2.101998415796414,2.0521373637346048,1.924065558754586,2.061404035962357,2.163385180827974,2.0116931434871566,2.0227760331088525,2.095673565818066,2.080649505602073,2.001541036432877,2.0933872077826474,2.05578268150523,2.226778621428194,2.1639777953442088,2.089356825329679,2.1745539241135114,2.1986172122333856,2.6504844655655257,2.1571983722142325,2.212729005237097,2.3275366765011247,2.271738117600523,2.2446496155505153,2.1918767623258018,2.192307502112506,2.2104914349524583,2.19131850735044,2.233425033394502,2.3829871390714152,2.169553095582651,2.130492955938123,2.224233358021399,2.0385598165040624,1.9984828299561523,2.018211112037174,2.031138799564665,2.1431456499346497,2.2295328845306406,2.331826934609359,2.5976116151170383,2.402957554159787,2.3036251960905916,2.3164325001627866,2.396489548844377,2.355162188307441,2.2375582670582066,2.3631967984490174,2.3648394161608883,2.2148316779733506,2.371371234185247,2.521938380541269,2.334422969621206,2.2721303936178017,2.3694985103536994,2.2548778550386928,2.319840922251463,2.317274149204996,2.293611930099924,2.2612138185725406,2.172945800752095,2.257093420090082,2.2033450059982864,2.1670959117808564,2.1050662146694115,2.193151999302744,2.199712445073735,2.113185584614563,2.038823605762218,2.0991156830525712,2.208184195584359,2.160872336608974,2.1227240660258744,2.2600811920983346,2.136052163532693,2.3937092565148763,2.055466875038933,2.0180432923381737,1.9056122083714218,1.9339559794355696,1.8915435207536153,1.9251169076902286,1.9584962077626082,1.9368841593851929,1.8479456710968132,1.858743991081955,1.7251397348053985,1.8457811124752703,2.0018222414759688,2.0999935870616127,2.2749692399978443,1.9271055183302173,2.0244895311832622,2.119263592384288,2.009203495912593,1.8408214883925902,1.99029616808749,2.235587917085241,2.7562182702700873,3.4375898250981427,4.268053519498524],[1.6982764236947,1.7075404450608245,1.835521265825933,1.4253387216976467,1.4865374326618104,1.4418041990704056,1.3168362807789205,1.5564935901478745,1.2317643308737054,1.0927855705286644,1.113126869720534,1.4093852671733347,1.229150715251711,0.9588622117733142,1.1538170734420143,1.2555326155385473,1.0621068799537539,1.0425678895428605,0.8888824849247525,1.0259477314354628,0.9756613224947909,1.0428198820216577,1.0111405458022302,1.101952561252963,1.017644573035161,0.9112520200611973,0.9938741232925908,0.9867511470468855,1.0954718818155083,1.3071107727197624,1.283212573614598,1.5479689255394387,1.6709852057203542,1.6146297342127307,1.55234469946548,1.3295752509165795,1.5016741529361701,1.2346706960493181,1.2105045203990774,1.2991989009981413,1.2002116978273052,1.1002471965909235,1.1371100391038391,1.3206055138729833,1.466697838181815,2.6300556573044878,2.6894514626272215,1.7336283768928293,3.2381953875174756,4.002656229499189,2.3346121369335826,2.1574343585025577,1.6746187263396377,1.5077340141909832,1.8854433546702463,1.4026852650236026,1.2854565519072556,1.3732020686525768,1.6536168399860238,1.3541058544839388,1.2427873021452376,1.3144968987350958,1.3411923168797235,1.2305011506950543,1.1091905542994724,1.162817629137337,1.1107901888530434,1.1174073971003593,1.143690345817307,1.043443380738252,1.214294670952223,1.4863401054500422,1.3656608772300325,1.250466924942086,1.1678188245493009,1.4865186968512916,1.2954469653028462,1.481414082311976,1.4849504324286795,1.454100576596056,1.5742506135708336,1.5603791094703674,1.9223614385274828,1.7172985579903932,1.5175897114160302,1.5088760865190791,1.3469546659959313,1.6192393731805346,1.372320292427662,1.5622473237687127,1.386085216365232,1.3941560415923184,1.4512652051574533,1.5138147382715619,1.3834876741663493,1.4355177036340403,1.3267314789545004,1.5675955805769914,1.6281039261483214,1.958132667177955,1.7786715548741285,2.0172858708057126,1.8259357687947069,1.908253442901408,1.9260815184107067,1.929094722277224,2.2408988042570255,1.9874322832362712,1.9818345826994335,2.059410362305491,1.812528866976954,1.5894989204405798,1.4217118118216492,1.2851140322189636,1.0904171287052469,1.0265599279200328,1.0000697163834715,0.9040608833546989,0.8805296700754627,0.9425379028659404,0.803542290959616,0.8303197231901117,0.8678161324781714,0.9550083163258559,1.0608059716913496,1.2098753478870672,1.4747763742458826,1.533889931808736,1.694622149970878,1.7825455334651885,1.8125995629857599,1.967757875461397,1.8012370677144738,1.8713412072458224,1.6957187566230818,1.563700748361483,1.6228936487764134,1.4021103848819176,1.3064626677025295,1.2095626307196194,1.1628135852940507,1.0751962171066913,1.023898710893398,1.0795609899990024,1.1166964788070601,1.1250284462187867,1.1460369798701855,1.2767534273948682,1.439435095604025,1.4484940254677083,1.7582558700210573,1.7298880552174716,2.19737833014869,2.2812832233451794,1.9584145234395056,1.9235830117103347,1.6639686170669263,1.8070933735857544,1.577456535548658,1.7061906020806423,1.5113216490916028,1.355398789706075,1.270847800769965,1.313196499308712,1.4468766843593563,1.284386676270529,1.4428045183658305,1.5131189736712396,1.6302935528298312,1.5193041664134486,1.4888955121398328,1.3881923076569287,1.5106984043801248,1.5676646092339706,1.564288062102957,1.6932023117592427,1.6129735446111115,1.8072521281067206,1.6299786436669113,1.7381748600799491,1.5895680128742775,1.7489485796785509,1.7847908233124428,1.787109250622712,2.270053086924393,2.187352763247262,2.2892882430234702,2.2030471300934518,2.453802905707662,1.6057894952387584,2.0754676530541585,2.451426387958258,1.819475870008092,1.8582759206773212,1.823827121472738,1.84090843197776,1.779473687523469,1.9957171243880905,2.0221602625228594,2.040329584401773,2.204656243313778,2.222101746047307,2.0616105945185743,2.140540966925841,2.3024965846421437,2.1978336438392647,2.052007843614319,2.281124906199208,2.4095742944417595,2.175188522257509,2.237146220638185,2.3965922558068335,2.317001069218946,2.175526796451766,2.388807411295785,2.3174603033739674,2.6150166538893425,2.4871522810537092,2.404072456364663,2.55941462674671,2.605227574029692,3.070832001494149,2.603820694955926,2.6148928056610523,2.692228412437713,2.6157064335491564,2.5054105151617705,2.47748657792213,2.5128084601137375,2.4611923894258627,2.4078663638460265,2.4831617513355653,2.6014683555448013,2.3573435051687066,2.3074838774991764,2.4348945716053003,2.2569213199395217,2.140940928373179,2.1806005413425886,2.1605681440287285,2.2917929884095365,2.420889481298035,2.5038061028929435,2.8067707513257805,2.5586417185969252,2.441840821426982,2.543459893154827,2.58887524153742,2.4846839220118393,2.4235659269047414,2.59396830103818,2.5564080076923448,2.414621716984079,2.673911218258537,2.8313111999664575,2.5818143436655356,2.610727159487992,2.775090123011932,2.6308412507703114,2.68363488347401,2.6128183125089497,2.630766106092531,2.6484964125470976,2.47433589024991,2.5384582546555126,2.5514393743702137,2.4992860797955663,2.3607961995522566,2.5029220413478126,2.538122369941958,2.3831794086658022,2.284473224491479,2.397435313659542,2.534674660263161,2.4400130049915716,2.356473962054352,2.5385219399999808,2.354168005102696,2.7115175731978707,2.259348655876649,2.216496962444781,2.0472834323459494,2.0558859220789234,2.018283984272011,2.0818358962159724,2.0706598168399077,2.0809979976030877,1.8877484055840537,1.905024706196627,1.6933248767042723,1.871844085320451,2.0360316591679317,2.1928528791990245,2.2862498392469472,1.917722913154329,2.098886838309658,2.186502292035748,1.9456678924741697,1.823737758978991,2.0860861092005294,2.3133927003670216,2.8113447310060473,3.4367661257887687,4.283911803577023],[1.3143506394602131,1.350011648037237,1.4685209164123785,1.2189027399816972,1.2424248620927771,1.2250872284050016,1.1703753234724943,1.349107232804443,1.1265464111547958,1.041447691103598,1.027627565405544,1.173541342613691,1.0859101184151017,0.9824439038918865,1.0530081881171927,1.0700052701802747,1.0381456265230604,1.031284514901963,1.0393108842150054,1.0560380679423913,1.026889934852023,1.0497342108054184,1.1105930014493464,1.146488192415623,1.223492423771438,1.0983753190818129,1.0583850574770521,1.0756036561154225,1.0757429802044156,1.135581670265073,1.1041627630416515,1.2271412160938584,1.3053014667069125,1.2485554448121468,1.2339287687285379,1.124814612419745,1.2146818958756325,1.1185176030147295,1.0884046624828667,1.2159231951535943,1.103686989405236,1.0269624040388288,1.0513869077417952,1.027755852442695,1.2680228205181847,2.515174257993011,2.5866145210483746,1.4769841872456067,3.0458873609427264,3.7406176948591923,2.1942698937704965,1.9678847087074147,1.7272146785399705,1.686425186111485,1.8727953461172382,1.3571895138954853,1.137046761369051,1.2152510147402766,1.398827087977985,1.1389802311078858,1.0736060733745298,1.07191268891677,1.12406238806367,1.236270340484314,1.0693502580278307,1.0531043773479427,1.2039438576446442,1.0619690972448463,1.2242301428275209,1.0866559349845353,1.2518151464479237,1.5039562994633888,1.331392069498398,1.271868942232892,1.1386322077135191,1.3584026962141935,1.088282339471561,1.1637651996055227,1.1458208760387791,1.1990189548005596,1.275727777396684,1.2697855117535295,1.7284946141717186,1.4561330787813036,1.2338602410958164,1.2719941363304679,1.1519492256473394,1.256485969608633,1.1253804160314478,1.229025922791224,1.1037919642005136,1.1870362293620826,1.097635802191743,1.1617323373410977,1.1309910664565386,1.154656003999632,1.1478286277626746,1.2349194585701015,1.3004669823792743,1.5837882568232515,1.4078025534108052,1.6309645165638416,1.4715332681446167,1.5728394687645468,1.562756703051963,1.5506767029900492,1.768744716775647,1.5589083886822432,1.5766289647801734,1.6624077655977825,1.4688022806916938,1.3369992566651998,1.2371835727380027,1.1888684688710718,1.0957374576959908,1.0877969533142327,1.1244865386837932,1.1047456554426174,1.1805002027516376,1.066593633328009,1.0565185796082384,1.052476172020672,1.0799916918795447,1.0646197958922625,1.078973920135554,1.0888796072688618,1.232615596222029,1.2856164959652496,1.3693561985972478,1.443438115637561,1.4212201311158963,1.5103879978177377,1.4064009191736593,1.4846536193445445,1.3673512798015393,1.3210514052999416,1.3498503741019325,1.256213202014397,1.254414457076303,1.1843904201634665,1.2697682286275727,1.2185551468136857,1.154846603052313,1.1282151590010376,1.1222821065046862,1.100667735323395,1.1181580437178447,1.1644497632375692,1.251952862417262,1.270937086505125,1.4711230776313675,1.4528650398286216,1.9082516174954298,2.2230210879652974,1.686350189669794,1.6065875574025599,1.3697087702118742,1.507401410705784,1.3122135432955537,1.4035278387094106,1.290399248107734,1.189347657621919,1.1433315638638992,1.1775191912680552,1.239675575139803,1.1453789883548453,1.2479806699468488,1.3621819227766467,1.4299132221715736,1.3747222084397255,1.2800497690125878,1.2310948813450848,1.2922254761551164,1.30269291180079,1.2986160884847369,1.405703049262879,1.347354076040427,1.5081018774176695,1.3479029428648512,1.418300899201653,1.3380102306435973,1.3998525451592476,1.388684504099325,1.3814544267226836,1.8050310778364067,1.785754993729682,1.9372509639973794,1.7993899716748984,2.1076808890094894,1.3127820929738654,1.9307928098886624,2.4677698691521592,1.5137157045421594,1.5206645021977139,1.4436594849095756,1.427363814780068,1.3640038539722525,1.5198227550060552,1.5301504233695007,1.5803072631130106,1.6874419589344187,1.740128429178142,1.610990379960585,1.6390687967649802,1.7684915204745166,1.715245560470107,1.589116823153938,1.7454876044975722,1.8678859944211128,1.7007859982503033,1.7254354817675333,1.8428024327492647,1.8187107975497516,1.720669734897873,1.8314032614977007,1.791897799714988,1.9975115645153514,1.9021951306882094,1.8137591592205013,1.9273179797057338,1.956047287040104,2.46966493339841,1.9625410825751775,2.0206451547921067,2.055560084286371,2.003167102921473,1.933603314999521,1.8656753306362237,1.9333656818276084,1.8528850318657681,1.8313266443966063,1.8827489152046257,1.9951591609953252,1.7768961701967463,1.754546176109218,1.8733336760785837,1.7369162997982803,1.688265014921373,1.6580684315920717,1.654886644300597,1.7741922459776935,1.8685839126680055,1.99539458952153,2.266534199314312,2.096090341933747,1.9671998269993047,2.004588414896199,2.107865639662096,2.021192953648102,1.9192760123409864,2.088265389693964,2.0930528106774653,1.9200036592474703,2.1178419325739672,2.297175028045961,2.113161690968584,2.0460154378198347,2.165636893801439,2.027424361125805,2.0759794124255717,2.028766377221918,2.0243106631610126,2.01427456297307,1.884305343224843,1.94913011611931,1.9257311941599622,1.8885899438212592,1.7872791722735886,1.8772064016026673,1.9208770481248096,1.8144296740432624,1.734403448775491,1.8108713941003918,1.9963991735650986,1.8982078512012508,1.8536139840661203,1.9554557090646167,1.8884250774390023,2.2291162613234516,1.7806585565289768,1.7202400380416432,1.6079508810364411,1.650120572483922,1.5905067892412528,1.649671907295387,1.639417827412091,1.592777536406467,1.4692585664110602,1.4679848515969587,1.3580180730124773,1.4896890345542921,1.6311155211628972,1.7464767087635902,2.0507944408391814,1.5545372858196036,1.6960184031935512,1.7816773445293952,1.6986910388141647,1.5189275321171125,1.6888906330886562,1.8897548882416884,2.4884777393723487,3.4049601105539637,3.9410889994447524],[1.9012444866316074,1.9346879706703133,2.0627236918898584,1.8854132938886239,1.8994983213198797,1.967790718342696,1.9090166640786952,2.002173451787059,1.8561549741266952,1.7930111724547728,1.763850887102333,1.8830320496881614,1.8054146697694164,1.7546556840318492,1.8046021502567529,1.8370509948511418,1.7935541174473477,1.7835146888512856,1.7601708804718448,1.8350508467226199,1.814917950105672,1.8291398492161677,1.89533286785746,1.9415894423848021,1.952107451134922,1.8714580788074815,1.8384098749020865,1.8498535572382286,1.8457161315924218,1.8841505174398208,1.8249501536821575,1.9409885011154808,1.9870975850160384,1.9123732071822301,1.913436034202808,1.8709027418488042,1.9484895027599944,1.8751744599617866,1.8645932516003392,1.8367281446634915,1.7834749736628706,1.8324224062916767,1.84188153932366,1.8545143224288372,1.8518873943515595,2.709449127406315,2.8098016586015064,2.141624878745064,3.2951430911770263,4.039978764474976,2.4883626312028997,2.4491242072159682,2.043320959687144,2.159124593338671,2.3725106175086297,1.9735512324420463,1.9294621942668884,1.8483512963841169,1.8951006913115631,1.8874012178058182,1.8513047968021457,1.7716535577555204,1.8363570814031192,1.7549810279506277,1.8010753825007961,1.795512568399438,1.8311770336242341,1.7698949166988056,1.8223075070972998,1.8112406608132017,1.9042761729380613,2.0619684157552083,2.0611231896663322,1.8863622503646682,1.8447259362074229,1.9726167407246888,1.8033481992981824,1.8522916881632272,1.8725430690737193,1.8915877637865826,1.9498199703278565,1.9984121196082911,2.1581120310947837,2.001448316310511,1.9696794209176565,1.9735734655472816,1.9075557076248832,2.010916684314995,1.8768599361597826,1.8685871719907388,1.789295842360111,1.8660246126296405,1.7824390292224261,1.8274349762756557,1.8187324592459406,1.80535451279895,1.8037505166764556,1.911791599858766,1.9727380134067467,2.1767904308082384,2.0662536993344283,2.2420358567769623,2.116573655362277,2.1588152403200898,2.133551027803419,2.1443639729372586,2.3582246510945946,2.154670345264252,2.155397903791313,2.2397262410086687,2.1019039823715344,2.014239485656187,1.94028717645262,1.8776900829991143,1.8433746482035407,1.8452548085148197,1.8909556566370622,1.8710725585760188,1.9024701986324868,1.7933320314087553,1.7867541543778287,1.7997225103723964,1.8477012679692717,1.8422841810878454,1.8241395679800607,1.8202198646067629,1.8897187946992366,1.976973581879904,2.0287973594550914,2.089954742609183,2.0751040408493484,2.151979400217366,2.081835224192258,2.099587913864892,2.0676218675228633,2.015011856738751,1.986871959462728,1.97349793669332,1.9861984530172074,1.913721633967322,1.9955699239622577,1.9675258889344358,1.8857200547620232,1.8786857628096092,1.8515792939067106,1.824295374505106,1.8409326259964431,1.8688575012901691,1.9430188187679263,1.9796271722474406,2.1139725998015684,2.112189533952628,2.3955724919998485,2.4283350440212472,2.2311095438303603,2.184148597041309,2.0470030827670405,2.131474783103491,1.998347094488174,2.0806258632402237,1.965834339791477,1.8722560753400614,1.8692176084953545,1.8783022250447132,1.9638723746421183,1.906407902493981,1.9438058603749533,2.033171158209033,2.0810882304416842,2.0405968374668437,1.9627270003906183,1.9536931676224296,1.9933855721487468,2.00089186686143,1.9669034681490283,2.031498725442818,2.0239532568420637,2.0606952134397343,1.9957305449867233,1.9975226838027624,2.0063276524318274,2.0902261149895636,2.067255126255279,2.0334007656477886,2.7218043109288224,2.519542083751633,2.522748899496245,2.455337300022875,2.6119593850291682,1.8244793310419807,2.208426192728742,2.619271326765438,2.185923285744418,2.1993195589028116,2.117572199168839,2.057574542517679,2.0292289513161874,2.1221586919322095,2.1028196234412735,2.185566953216547,2.2160135862915746,2.2686687955791696,2.1884581450805456,2.1683142863480707,2.2552243057630954,2.2377901772273296,2.1171793617393897,2.1983463792481297,2.306290614036652,2.1926610354617226,2.149176493320196,2.2254521101213105,2.26249753127513,2.122327216911381,2.135219484573624,2.11504074254139,2.2379033048085475,2.1591816307982405,2.139556817001005,2.213868390107354,2.2297210770491342,2.6010015237463637,2.2101512926009335,2.3584799197206334,2.3518263625413462,2.365650278129736,2.393252728646551,2.3111272985286195,2.359240868469822,2.2553230446198866,2.2354346769185787,2.269990562562682,2.344089050679625,2.2266980001704493,2.240197735225973,2.2827221747982884,2.2004123150891712,2.247699561042591,2.186547864240823,2.203336568338264,2.2570586414470872,2.301692778769835,2.379858580912877,2.6083471724525107,2.44217426691438,2.3456064016622835,2.399464567272768,2.501584639270639,2.4287370545354774,2.3816799751906506,2.485500528778101,2.4940162950031013,2.3785056194555474,2.4966154673901584,2.638389033282346,2.5292915369748505,2.4218153312166804,2.4930211896259378,2.3800534560956623,2.435693783862799,2.411987687672597,2.400585502180678,2.3587910841018913,2.285211852669574,2.3358321788238023,2.2695549221967157,2.238948707939383,2.2116758357910395,2.249344094100923,2.2399795385615193,2.183066539914248,2.164999272586796,2.1601257012445356,2.320314758396432,2.225896125458896,2.213767020892011,2.207774161589562,2.1452490800766637,2.3783743834306663,2.1166008100678746,2.1188923681880323,2.0902338643527942,2.0903088437210897,2.0630808685263995,2.089587128784606,2.130865149808682,2.112429623183361,2.0776060460820727,2.067631537759345,1.9958159878775,2.121561266098761,2.2388307667998686,2.327637507918985,2.6512893697986497,2.186101072063125,2.2745669544117377,2.357714571783171,2.2230100617684863,2.1502817409129724,2.290442737376583,2.517508867467569,2.9448986587468062,3.3998459123682996,4.070175632902956],[2.8184011917038156,2.8147487875634725,2.870856782235738,2.60477115609337,2.6192040732146653,2.580459442433385,2.4043675665452144,2.396006164137502,2.1631712855949163,2.056836829625277,1.9204370042107919,2.045532279836046,2.0451093116426207,1.8873057340232855,1.8722823708796752,1.9791646246195327,1.9765843984721014,1.884364871611695,1.816964046949504,1.9448205470639846,1.8893051336713373,1.9627734581786567,1.9256242401405559,2.056935172850165,1.9525552269181659,1.9418315634022907,2.0276674547337525,2.0245657067141796,2.0070844328834374,2.080871184834005,1.8768315108378184,2.08871704967028,2.0331604799758325,1.9400280117480884,2.0373909457233226,2.0066736401779943,2.1784953840229995,2.096928440296879,2.1590474469114818,2.1151082201841684,2.1015641885597303,2.0999954696650587,2.090991847449899,2.3469621174170707,2.389885891022271,3.178924467105807,3.277917373212759,2.670727324219438,3.8028403621149542,4.542086349452795,2.876890841095044,2.9349475877171143,2.1953432030826647,2.260963963325848,2.4852298731316993,2.1489470843130296,2.1775067182654784,2.074928233971714,2.0978251347384167,2.108770811247276,2.0515079180600955,1.8964300186690701,1.8849022168463563,1.740780934684216,1.890365629715909,1.8991035419721234,1.8177938883232432,1.7925677832248588,1.7661132366420438,1.7298344781460182,1.8065542244708326,1.9077562137636999,1.8998839230174007,1.777480082205524,1.7447761574987035,1.8909645400767574,1.8375087783030253,1.8712587978722879,1.9739156672856595,2.040441411833604,2.143001621675537,2.2840743055411497,2.386866218864518,2.3365992153997333,2.370229147202237,2.2698226548195497,2.1344622578236696,2.22569019007909,2.0209029658473963,1.9234322992086146,1.7991107164237756,1.778990740446449,1.7406819995007896,1.7900677724236536,1.8143155036795295,1.713249366344062,1.760128293854672,1.954658585745496,2.080267413217532,2.259737539400809,2.203870435005254,2.475900806925692,2.376367486554286,2.4848063998001644,2.5377767403173626,2.6114035449683177,2.867576780735644,2.7587151171849422,2.775349247373492,2.7606759274277946,2.665368855490176,2.521747900784807,2.4028487766157154,2.3228597680484953,2.1546905380556676,2.1484985640376446,2.083403677913599,2.055487249907866,1.9430157808605784,1.9126018060879064,1.8450271658291761,1.9193571009078525,2.046807562323088,2.1158202030601285,2.19501781686032,2.3508544555494515,2.4706959025052013,2.581884625251925,2.6821431534129085,2.6898808532591305,2.806639492407325,2.887198430371846,2.7949824908206993,2.716035478406052,2.7451432969603635,2.638749723765705,2.692734191309947,2.5140761381763586,2.3930785888800434,2.319490975085422,2.28191213334457,2.2523774720547793,2.1430015813349588,2.187354273455915,2.1380672363845665,2.1144974238846617,2.167117516646274,2.2066722317761203,2.332464826727599,2.336055022395628,2.502281497683857,2.40093922005187,2.621070237069466,2.520970040847748,2.340762611597137,2.3443405196555043,2.270001428221924,2.4161629211158813,2.277437901238889,2.477456873730703,2.417974984580182,2.2236734116973627,2.3192745280531772,2.2930226128657236,2.4767327593825375,2.4462047477460604,2.5767745820143597,2.670749764215868,2.767449498024017,2.680654723021257,2.615687682066781,2.5075440290171325,2.529701561342729,2.5036919969557925,2.398775256244624,2.4035959796082698,2.321303125652082,2.3195837060118625,2.3543697949575226,2.3726991851977988,2.479282726173708,2.6038488178685943,2.6514556978365373,2.665918594944538,3.462583773182865,3.1638321280804402,3.082490585675908,3.1240989024646657,3.438224300881508,2.5007904545607103,2.6164476071796536,2.674983662712459,2.9193595518191606,2.96666688266657,2.8674971905758144,2.835585388659711,2.8289040570276063,2.9565551879591667,2.965627358781312,2.9628095917068036,3.014529920145944,2.9606389830025126,2.920392007553172,3.028345519741897,3.0496286238384207,2.988443953275196,3.034696432464991,3.0973163023895767,3.0593105256367874,3.0272313383020286,3.0817520865225507,3.1025407386723756,3.0594323152624936,3.073097957975934,3.13129105312416,3.1503019935607397,3.150971472231437,3.2408808411499264,3.13634285858777,3.1499106226159492,3.1581478906806986,3.465528150590333,3.1001212437366967,3.122100459688725,3.104824792207096,3.1031336951587227,3.125508789202298,3.0842218107321013,3.2162470834629193,3.0740284224179653,3.005638106747504,3.1196135253898007,3.170333105040168,3.061866679794558,3.0893372252679714,3.201533120748302,3.2094073746095777,3.1792257970279914,3.0868483800044086,2.9835254206887116,2.9852604663761806,2.986906412644034,2.9461561434494525,3.102205529370075,2.904255909717551,2.895332658138532,2.9665715149221636,2.9482149385808545,2.904997036252615,2.992250718428868,2.9749189374710947,2.932819054367498,2.9805509580329264,3.0773116997897807,3.1018371318976303,3.0380591025821104,3.100952650042242,3.125427892461237,3.1021111670318153,3.123442200535533,3.096742595223638,3.1253095724376,3.139965365847351,3.1138071386045327,3.128908892004387,3.145946643256721,3.154800570221765,3.1340941326721685,3.181923600633645,3.245846029371526,3.224158128543467,3.1948982516665776,3.220217201412005,3.4569629547185707,3.3661644609430934,3.353186572614457,3.3747379021107733,3.3369195504246396,3.5142973965747966,3.2741690128466256,3.1850226492986162,3.1129322790243177,3.2149580785310845,3.173717989439116,3.2440235138331395,3.1922533825850112,3.1231724860020935,2.9504594071005874,2.8778880063153722,2.723492306783436,2.8643716931482524,2.8610845323565197,2.941413295998794,3.1091099022491493,2.7732719632613567,2.9372582654684876,2.8702365627813924,2.626057920238427,2.8028216283000145,2.9273260359812117,2.9737614647563966,3.3314314033506416,3.598508771155629,4.4357611060859],[1.9662891440999053,1.9313723532928448,2.034298278494535,1.7041368122042875,1.7495114258433604,1.774011914292081,1.5882743976885982,1.6571475070349937,1.4983816389231466,1.4170807571623765,1.3966246436263543,1.5056804959885302,1.4369487929551463,1.3347748036176916,1.3965627089687154,1.4312618282272964,1.3894291849543041,1.3490447629509656,1.353594067337077,1.3459731623049804,1.4075715044121277,1.4451798270540666,1.3756058457667972,1.5782347187392476,1.2346342401393542,1.340903145262949,1.3386901146695547,1.2933682501603208,1.3357825181866758,1.4364754400628348,1.3894634454057673,1.516256674700166,1.522109967082444,1.4618410578470746,1.4621079035788755,1.4182665794526863,1.5297926634485493,1.4041075453888512,1.4152981853360536,1.3112098950596778,1.4696406901561214,1.4888925316391524,1.4833232259020968,1.822205743616757,2.0867798443758243,3.0175884755509794,3.0894124347764413,2.170323352008177,3.5247319398660872,4.170160347602517,2.385332510310515,2.4498720491094295,1.4634497310704184,1.3625141251505646,1.5885531474342842,1.3444435667465569,1.465563517854339,1.4084069888414048,1.5536379829364544,1.4919472370941889,1.472577735887728,1.4016400826383455,1.3423314198648078,1.3897888648279235,1.401444129909788,1.3361214786460154,1.342539103583538,1.3508500796697671,1.4401138818248453,1.3731605114464531,1.5238424723260997,1.7906446503021056,1.5840812579588472,1.542857261313571,1.3189277860394866,1.5341306694570596,1.344007836135635,1.3768527221817122,1.4084021977934233,1.4174014537551773,1.4763478997918604,1.5534859775256369,1.658620231206128,1.5087645111380448,1.641794517613486,1.5122099266608346,1.4355379760984286,1.5701641793191097,1.4216618996216666,1.4145154392544323,1.3522788191992878,1.4231081847325497,1.4156702462133541,1.4134694597884188,1.3859156584578263,1.3765529151638325,1.427189653722281,1.4781229588772016,1.567826604964568,1.7648122439862,1.6209583952708984,1.8272377123762074,1.6924247488747437,1.720149964840543,1.723409227703888,1.7679186751010205,2.025751632305864,1.8843685417148766,1.9165393560780999,1.9355114351467446,1.8085869392792595,1.6607357279863961,1.5957806828659562,1.5001785891840054,1.398654672734414,1.3790228453193594,1.3122238471598227,1.3049506275956215,1.2936836261246976,1.378163427436712,1.2794423171339406,1.2914006500564537,1.367729676707053,1.3686779766538915,1.410396399215157,1.5403065647208252,1.6541056090725956,1.696458844303002,1.7897198254337388,1.7921133549301131,1.8951430104824505,1.9592605539248158,1.8698053339995067,1.8300850830162305,1.854834342900194,1.7742888726094543,1.8694573113058457,1.6074171613318164,1.4601468810512108,1.4440576550927255,1.4322278832580284,1.4366531833003469,1.356008280062874,1.3789146555054417,1.3205287835406003,1.3651690449039082,1.3876261716504916,1.454348453885701,1.5258395803876725,1.5578163937131673,1.744959248519371,1.705434128307552,1.9877422035450174,2.1468497110554217,1.853864555949428,1.7509475503764593,1.623035900490933,1.688952385601537,1.5592757508383654,1.6453442760194656,1.5772081940924008,1.428128239621656,1.4965889748975272,1.449869275838226,1.6204044211586222,1.5861751451028843,1.6876942044020475,1.8301841269872092,1.9245075332883195,1.8462540107401062,1.7318317088238657,1.6155219887065526,1.6473928686318553,1.6219671619661797,1.5542045194982628,1.5707370510073955,1.556843067165703,1.5342736911357384,1.5292120991564688,1.573521460251897,1.5624258952575967,1.7127471228852569,1.7613189331504793,1.790371657589155,2.7585163315612773,2.5722735337995473,2.596350376099101,2.6581325314875155,3.1757415926220025,1.9133904206738623,1.908964010288973,1.7364395010208808,2.0746145001890306,2.09553788931151,1.9619573226164484,1.8980775386105933,1.9279197323202513,2.044407095537657,2.0708204987992347,2.076076910126037,2.149549165218112,2.1131525361045664,2.044482298698689,2.160474149515446,2.212519380442257,2.141450339788825,2.1706517985950344,2.261456265826436,2.2655703991092055,2.1821569449787797,2.2505553207728353,2.3296698235246414,2.2673094460094356,2.251317598749443,2.370207358756923,2.3770287882802537,2.4769524690450906,2.5319971997759003,2.373376523931447,2.439796457659318,2.476114082959208,2.93431792594586,2.456033029722433,2.4057027918490803,2.3910022747727453,2.3657016087478655,2.368411068420669,2.3080755571716973,2.469865747109762,2.2580357108305567,2.1720002030589995,2.3104193570773,2.3450244674715788,2.19548089516012,2.2749941285791198,2.416004275410051,2.432288274688391,2.3958154381108225,2.2326093718238953,2.104942429844584,2.1232552216611316,2.1710765002497907,2.1655457798233355,2.411543806977796,2.1771364273539358,2.1095337389285804,2.2295571087287307,2.2560929393418796,2.1610833347402787,2.2115990108510943,2.285206417928768,2.2590797721049762,2.2227193984517886,2.393193825427881,2.5016093054025226,2.3807884299676503,2.408172075811675,2.5002543470599483,2.417662193710544,2.4342079158267924,2.349603802269501,2.394659126217275,2.4503603109986085,2.3376311216336894,2.34047087677913,2.401904718386356,2.3998948954113395,2.3188413553350924,2.3994891073062283,2.496791788207712,2.436866865355414,2.4030745657860155,2.4596110219146667,2.770991839485432,2.6180898758766613,2.579666166270962,2.6531135085540702,2.6603726068306894,2.914940220464325,2.5328731162563316,2.3793900871670575,2.275574651506464,2.4505081910793707,2.3988461259503087,2.4934831287433914,2.3976227306749127,2.303506567189356,2.0546606386470767,1.984951355413782,1.8439289273165513,1.9908077183827437,1.997756030896306,2.1080585717798166,2.341077535659308,1.9283621584962658,2.0966137670905396,2.0760206821431573,1.8441600032988,1.927074313221197,2.1253883707803602,2.300211550656741,2.7431503421524464,3.258005807913548,3.8571394498966725],[2.607284717251726,2.5369316158947557,2.706006191076621,2.4093956510176957,2.4391998972645226,2.5553676522532283,2.4146975396905193,2.472144866156651,2.37496900127217,2.302807591990268,2.2904038504311894,2.3717068473029435,2.3097614686106014,2.227065430575912,2.2674031326864115,2.3110606076722258,2.3010828169185946,2.229228163778426,2.198084457355955,2.2319510946114782,2.284110632605592,2.3392529270433955,2.163738717863588,2.3510335107945197,2.0517619771542317,2.168948055685956,2.1893649163872975,2.1658140050184413,2.2417293680102097,2.3578543570995096,2.2521266188074125,2.373522923198108,2.351751691049624,2.3014496056565217,2.34195766487152,2.3250937459534917,2.411806109822274,2.3257291132301092,2.3085306169337336,2.1497598788403245,2.3200304683279884,2.338693955271549,2.387993645222535,2.503490584583183,2.7513844884113023,3.2976103575841456,3.337454782792461,2.621875712648356,3.560041820626608,4.1437508665563305,2.571443766259879,2.924849434705874,2.0087508760226593,1.9900599294604822,2.2357659410558646,2.145572200731208,2.3007869607820233,2.2291949535162123,2.386258000281452,2.3308556903489386,2.3348697792035535,2.2360063699304717,2.2082468957790846,2.129552362174793,2.222692342677919,2.1987688487324197,2.103914679420356,2.19927296464678,2.171528889467946,2.106277920737738,2.1954860471178166,2.323625532122676,2.151218497116322,2.1522563185114447,2.0894149860713616,2.322259556044739,2.182061164894816,2.1991350099854845,2.289743186845484,2.3341572103188635,2.3884093748331496,2.4268758693844776,2.368258596561503,2.3035189441676778,2.5529332714119914,2.4010887076202345,2.335603104934939,2.449814898337673,2.3223036277761815,2.275627861691015,2.1951403527647524,2.1746304355145294,2.1955612677782033,2.216874795070077,2.2284371262025817,2.190987271923369,2.229961033909851,2.3108994403634546,2.37384438943947,2.4568259060964635,2.4154872983717883,2.5489814967220843,2.481264429504317,2.4955580997882163,2.4877103258543016,2.501614562970235,2.6896405014774967,2.569051244770819,2.580517479842823,2.6209046185114424,2.5422710274884928,2.4429775835829526,2.4244492063311522,2.349865531887643,2.276488068965873,2.2374912250813352,2.140195132879468,2.1144903853071106,2.0998475614230436,2.244679814503898,2.1229374113409425,2.1593778567386237,2.199317062412746,2.236312474263204,2.2901134995036183,2.393998072373337,2.4495793159867683,2.45389189006063,2.5237640554326557,2.530766389609825,2.5785618833982067,2.614392491956908,2.5724005327916157,2.5379386900873446,2.5888946427673796,2.5494778696896936,2.601125777327766,2.4040025140151586,2.2303508521018087,2.2404658596740656,2.1443682536138344,2.1762428588492493,2.1526995212966056,2.2126739082898665,2.168262544167239,2.2430951583076784,2.257624402949879,2.3177745706628032,2.3607962999655143,2.381880107102755,2.5057443025791546,2.4900552997247876,2.663867629400792,2.744990339640295,2.5150976488297276,2.4884288450165224,2.4468785141729987,2.485000694088727,2.4096026010865224,2.453894014057372,2.4065234206715505,2.2834953177323323,2.3555904059444814,2.2924978013672805,2.466804423480735,2.3510767985429286,2.415055208910241,2.5464641673656043,2.623662019916489,2.559426523107567,2.4735740780788578,2.411389321332208,2.446138419211746,2.413266981120841,2.364316746957891,2.382007623464354,2.4010208899049377,2.364791735663309,2.342585686516046,2.4097662135411198,2.3227794386142797,2.4876675885408703,2.5215094550328856,2.545688187839323,3.7705042802899573,3.6183604054277336,3.6793713824519028,3.628998305707494,3.8014333175100923,2.576724664748668,2.087155797664525,1.6975895144094,2.8100196094389296,2.8069702217266306,2.665438118174947,2.5239978920167454,2.588519283513844,2.6491705002822603,2.6410599297694235,2.6767659345351,2.662776543540402,2.6490277251203085,2.6314841326459226,2.6672626871015774,2.669582808654967,2.649228532952037,2.664040815401628,2.657220269419052,2.652648411212069,2.6355838815488877,2.614324786822711,2.6377504733636514,2.6617801176420866,2.607185870242463,2.6008180229863345,2.6541178044913547,2.6435041002826467,2.727698373585044,2.6344171380724517,2.6474501598971956,2.6630332857800276,3.0208600963666368,2.65270769003006,2.6265364010018626,2.64149723311775,2.685459910870368,2.8019020820225102,2.7344361928663248,2.826001011675317,2.650258447243323,2.612485449720992,2.6581439639957964,2.6389338684004544,2.63081542241441,2.809699570736453,2.772634174318022,2.861404539114405,2.9252591106352672,2.725238322853666,2.651312906198281,2.63906440083071,2.654041827291556,2.6468203348385497,2.799757573514852,2.6334914898117274,2.5891904001838753,2.6511974349662237,2.6872234321831616,2.6704102899212496,2.6613021737606437,2.6814585175282244,2.676595646971335,2.6511361247343794,2.722284052041204,2.798772008383759,2.7363548395908497,2.720398074837723,2.769808428395554,2.6931564336062688,2.7206933134317954,2.6917660898140574,2.7067272596766423,2.7196989162420064,2.676522980898257,2.682398078951083,2.686164887037295,2.689717390058602,2.6905334342099385,2.705034682973131,2.74098867941955,2.761332001231372,2.803715907137733,2.75577486589151,3.080148695975766,2.915105287345159,2.9004965781548315,2.8644799693876464,2.9105142104905215,3.092892441475652,2.8300145489916266,2.7392288244183596,2.7185787851592607,2.870588776098067,2.855835157631939,2.90873910055074,2.8502294728900393,2.7835180563275603,2.613680027416436,2.598985577740748,2.529536635248661,2.6224024603778022,2.6518218787330095,2.7324012095285894,2.990192971778185,2.6517397723630673,2.7237269183530235,2.679147686190013,2.5348943850066172,2.614775488218124,2.7062825201274205,3.0174528305742028,3.101794164742967,3.256635391967515,3.7760837013863116],[1.835414068861926,1.7675017772565182,1.8696200742022224,1.662929398303149,1.7238152337777348,1.733528618101912,1.6204280966127809,1.6891454579440126,1.6173733040472962,1.6205855304951289,1.6412374160600807,1.661474220055167,1.6339448171279467,1.628483048350695,1.6464274415489795,1.6519971064538181,1.6971298202219731,1.7014295902275811,1.798952730958022,1.7080812670325858,1.8509633197229778,1.8529801657320526,1.8197419369032395,2.0133380013658853,1.6576469523468649,1.7588773653134806,1.682982505952212,1.594256203896107,1.6170965724884145,1.655016104545223,1.660869112271439,1.6574653697071484,1.6738296032398678,1.6627181792754486,1.661522245917709,1.6727070475290235,1.6770311921297734,1.6538481870357118,1.649818158519839,1.5246884781253465,1.8205150937853005,1.7796007104550473,1.8126448278351834,2.0400657787569974,2.509118398478822,3.3567662982972997,3.4141101309996627,2.3311473753305303,3.60385921879998,4.1482839817992625,2.4603848591885273,2.526798715174226,1.6201669870281588,1.380914356841033,1.4748541103737702,1.5017502818744015,1.6628775916036178,1.6149764951491616,1.8706681637661748,1.7665504544581079,1.7938664870506729,1.743406903698996,1.6799142425438178,1.806654005872294,1.7445220225302944,1.6623881450678484,1.7164063652869126,1.739437361211737,1.8511658195796952,1.6977765497190735,1.881416703242722,2.0991548647537885,1.791147114321992,1.8574703970967665,1.6332586536731202,1.8414674284358978,1.639504619196543,1.6323045449171851,1.663771816927751,1.6838144302966247,1.6725285414494913,1.6781476744504211,1.6008992269954767,1.5754122154813013,1.8553218843917418,1.6519634349060817,1.6466118870053665,1.7078909688406938,1.6813639892687942,1.6737421127152619,1.6541563594750537,1.674492113445593,1.6845019677948103,1.636272266876157,1.6248619406526439,1.6370192618720425,1.6838149208466864,1.6440690321030713,1.681132548833827,1.759489900192847,1.6760363693293823,1.7964507532317942,1.6966823335567478,1.6854417723365855,1.6661056758650583,1.6876724983335514,1.8870388948059984,1.7332725645816396,1.7619040947918094,1.825815248412489,1.721248263106538,1.6305155287899493,1.642630566304758,1.6223975672265667,1.5948358080624039,1.616067489059552,1.567328018643415,1.6138903924364392,1.6582976994857188,1.7807462445356106,1.700117021410095,1.6330804034656092,1.6888753904656062,1.6327597851550257,1.624625061135627,1.7147465970774771,1.707129649145792,1.6733604353576281,1.7209514528609855,1.7041323347046218,1.776962504668074,1.7963690565828632,1.7659868340197684,1.7526607078077623,1.8236339429159243,1.805178735766613,1.9298408813496462,1.6690208520736187,1.5511042200369236,1.5869254247559557,1.6173044317046927,1.6501595432175704,1.6012859873025624,1.6126581052815003,1.5666571997206993,1.6082352807899767,1.6043593299310406,1.6211995466479223,1.5893502566162343,1.5932696128067607,1.7077458682811268,1.683772658826258,1.9187644986658574,2.2443442744177227,1.82850752381941,1.7225494419928493,1.6612145861325431,1.688930752640708,1.6281164495307958,1.6205207436273332,1.6352865064606605,1.58012552361231,1.6696924274177145,1.60562139087279,1.7410823334949117,1.7308981125638543,1.745741591816416,1.8977927947969386,1.9589148320913938,1.9174791568450693,1.783086779245417,1.6926694947981016,1.7069893610939575,1.6512129377081213,1.6022492000273638,1.5895611239785679,1.6320079684283457,1.556447537206817,1.569623671159966,1.6785961021280142,1.5353157901238115,1.6533511823506428,1.7004111664121029,1.7183475586561079,2.751474328157209,2.717042252929758,2.840336331828919,2.8931715411722743,3.4169605729675863,2.2048131352043097,2.05491235351638,1.429540287704235,2.015268143917793,1.9916734492596528,1.8490608790910557,1.7409529305526918,1.8299510344593422,1.8569633085681767,1.868861819775069,1.876471334846285,1.8844025273508571,1.8702107569453,1.8324124716714387,1.903620972789321,1.9197874180394972,1.8848023332585946,1.9224766277910177,1.9353923877563033,1.954006981491469,1.9030404932988136,1.9296760524522474,1.986659453081941,1.9744724985681086,1.9621208426283885,2.0024762822132067,2.0354537944120246,2.1114317098797755,2.1352086990084254,2.0021945183237153,2.0356821165439243,2.0481968492184066,2.4961652774850345,2.1147518935416794,2.1677972057398986,2.0390020172263155,2.0218112877613827,2.0742037458734006,2.001304474422562,2.131457162982419,1.9329795843385986,1.9221276930925604,1.9300434939343611,1.9291317014071554,1.8897706390628712,2.0833239738002773,2.0594840126699463,2.1723590233404297,2.2082062992478004,1.984012329299775,1.8815185967319983,1.8585853732830222,1.9048416975867493,1.9055968071195573,2.126713479800416,1.9283806913648993,1.8565330933829833,1.9714005439202644,2.040655575019921,1.936859702126652,1.9285956958552044,2.038459582956148,2.0375554372177884,1.951650720114059,2.1030390861117327,2.255432580139226,2.130342611541789,2.102226379038741,2.2018675426416667,2.0826296730175033,2.093802312430036,2.0177151181170516,2.0388918085451064,2.0834977235545944,1.983768972873986,1.9787520724459964,2.015431208652812,2.017013864260387,1.9724684342030854,2.007364969406917,2.0868165044294655,2.0800498218529087,2.1183420537237896,2.119810986740417,2.4491589891676964,2.265172309063054,2.2383042248519667,2.2903222252135813,2.369910191306748,2.570785507462754,2.208556313715796,2.065505388272134,2.0093965756810332,2.2307361405746837,2.2103534902576922,2.2907630286457783,2.2106368191721737,2.0908338991021385,1.866786936027505,1.8242739805762587,1.775013527368324,1.8077093471366235,1.7948911207498646,1.8827253554659185,2.106297462696667,1.7874540049339915,1.8678272670422613,1.88475867166943,1.7526098020653684,1.7489952188532274,1.8853027007731156,2.148590895723736,2.486523763797685,3.074816444054049,3.389024770964959],[1.760279319942526,1.6771961974001561,1.743868552662424,1.5254605055656723,1.6104008490943011,1.7000575018502118,1.5774273840759108,1.67466665602999,1.6055423455330917,1.5757482816720991,1.6142290901344671,1.6555528963426196,1.5937347428240667,1.5684811309513704,1.6190677599334231,1.6169140008583212,1.6307570620942795,1.6199593439977205,1.6656878865265985,1.5994414240325827,1.7195532577496953,1.737554517455721,1.6439189223722794,1.870629515540869,1.457740657297669,1.5948249937293224,1.5401773701039578,1.4760769272261265,1.536238894060182,1.61787144114883,1.611799553914743,1.637809782954003,1.6484449763454132,1.6411449186746239,1.626096877739778,1.6358498074013939,1.6486006419680388,1.5913731799136692,1.5642256470883307,1.4057120724902954,1.6784422318730081,1.701780689366881,1.7250793785791252,1.9510201807929273,2.337014261974699,3.1320124290664983,3.1933859457359737,2.2135498111940852,3.4500955606935007,4.008814531387929,2.3187695482206783,2.415740228919242,1.4873174025743654,1.2410493031051626,1.424133778965525,1.423109073036125,1.608685708864568,1.5580412280373368,1.787411640127944,1.7055265026423165,1.71216530727938,1.671307005150465,1.6084805416258232,1.7003661082327974,1.6759404002482663,1.592420963832471,1.6142802378688887,1.658648057824161,1.736930667347782,1.6278435609254096,1.7888208565999333,2.0284849217893477,1.7548618227114428,1.7829990015503308,1.5697967445045453,1.83302774925525,1.590963163398886,1.5900115129738481,1.619927000910507,1.6300396369967634,1.6305178778574005,1.6401531802505693,1.624366771791368,1.5052840638112117,1.7831521327940412,1.5961648736913643,1.5969239954536911,1.6877196638114866,1.6315057995147324,1.6219011371581513,1.6050672436543938,1.6401310559126094,1.6553322593464115,1.6142189043258683,1.5975006569677248,1.618638386720238,1.6553679175150324,1.6265414853391023,1.660956178236818,1.7166343158913577,1.6484874092148531,1.7527812988807734,1.6774204185434252,1.6750674244340331,1.634202160913927,1.6447357986174846,1.8225551512125404,1.7038882706528513,1.7369039171794791,1.8210278732230458,1.6862206440577547,1.5888533238934957,1.5936814811449775,1.5333557496242092,1.5024472084050629,1.4920962752032811,1.4389087471557083,1.465350173215043,1.5403164661706532,1.674583349929363,1.5690491005115708,1.522395713309064,1.5400204531539718,1.494510310846022,1.5058497999029714,1.5898787992246168,1.6269551481065139,1.604720368716737,1.6530617830107808,1.641541436434738,1.690080766669369,1.7197790806293018,1.677133992819523,1.6947780718302663,1.7371458302022824,1.703638237129747,1.8070653869820958,1.541501605709481,1.395684052891001,1.4585883061131195,1.4637437384754715,1.5227499781362612,1.4719471722524555,1.482890481160812,1.4405603389111548,1.50940555738962,1.4999360306781442,1.54856071501723,1.5328024532590152,1.5567302479134342,1.7040857424544518,1.6904919923788422,1.9095212208300492,2.2564934062786755,1.8053397045844488,1.7206859191493573,1.6532840620016278,1.6686803871433586,1.5921728722813255,1.5883114555648838,1.5683202755637828,1.4964669763277738,1.563413776206789,1.4970940947837308,1.6259181076796767,1.5518176534686985,1.618262045937366,1.7662281000649094,1.8301556231206324,1.7849759277673138,1.6585300168877626,1.57409080236913,1.598559903670558,1.5661158336449805,1.532747275869212,1.5348622069302533,1.5863832404129614,1.551795013291011,1.5226425474152556,1.6121299826345554,1.4615997216520107,1.595529128877864,1.6333331512921512,1.6516076811487563,2.7117962906971176,2.6995774360563938,2.825353525379146,2.8620517429843426,3.3628264096638416,2.1198648528613213,1.9454347927219435,1.350625296180079,1.9378682706463428,1.940837608149169,1.7856582502582214,1.6526059293747386,1.7067701772092525,1.759962984838169,1.769187983072226,1.8117450345974897,1.8037551828776814,1.8089958352472468,1.7762301110411383,1.8191535735283875,1.844354931791499,1.8254904576026152,1.8360063301918712,1.8464395309325905,1.889111802624108,1.828230550795137,1.8413435087534022,1.9042823534924183,1.9037848514465527,1.862742270632767,1.9015037985608831,1.8946660506432134,1.9650443334940189,1.9502880029771532,1.882505193299965,1.9030028984249738,1.8972703799545287,2.3448102809872466,1.9727292877604659,2.1235751937832665,1.9494256492826878,1.9261561493183905,1.9868049616723675,1.920803933424589,2.0315986370835954,1.8496239905844671,1.8533843309031537,1.8117850938312088,1.811475648249708,1.800037306271849,2.038591905790816,1.9300382832140919,2.0191707853404024,2.1014332787247962,1.882582573614372,1.8005024775800351,1.7658689129724578,1.8134711031295672,1.8232975592626837,2.04584570189543,1.8573665551537617,1.7965327999226177,1.8869542318687256,1.945854410016354,1.865540945656827,1.8591296134112414,1.9580542496709785,1.9712958746542781,1.8957893731402242,2.0329312753813213,2.184385594763646,2.0559163977415746,2.0187063450067835,2.1001938661443695,1.990834995909955,2.0049337750164615,1.9487694361774164,1.953407826607926,1.9713780980887288,1.8971261053088346,1.8978286685526708,1.9077583980985304,1.8993055170375446,1.864916461981429,1.8997469816217987,1.9395634446626067,1.9402256603197456,1.977606195364336,1.9576640423234073,2.2846779177607925,2.0966333761088376,2.0630017841146513,2.101811814492798,2.1421167334385562,2.3538619326005628,2.00907782565234,1.9078035090587,1.882378660046808,2.05736150163962,2.0478844606769426,2.1111749228210615,2.0592759864007504,1.9706177545264973,1.7651846218805465,1.7351356414871966,1.6783669001018429,1.744996041516515,1.7489609667803523,1.8272906053034599,2.1740268609754834,1.7575341597920577,1.8103016637305707,1.8603574536824985,1.7728316294024022,1.705049305891704,1.8600849538879154,2.1150905462484624,2.569262920509527,3.200720936359856,3.2419297469950927],[1.6913086404218958,1.6746517178019777,1.6176410681689204,1.582406965492745,1.64076516639743,1.6096025649826946,1.5462731808065244,1.6106919123166858,1.5394714915577663,1.5818526787557978,1.6202841952149922,1.6647419320313828,1.6060913487292399,1.6132511345955467,1.66936374726864,1.6438824590752135,1.6374604250186635,1.6846843181839881,1.78349959618757,1.710455551148058,1.8308788590522094,1.8136847698729983,1.8628477788225235,2.0370521673189463,1.6989099637676988,1.7555519185507336,1.682304145601336,1.585781688623127,1.6007104490575947,1.6136554051074687,1.7071348439226643,1.6335167517346318,1.7084229051274464,1.6870447757624598,1.6733426178505977,1.6618730615054818,1.644114423557561,1.6359732389439463,1.6226337215662692,1.5987115450928977,1.7919243391687498,1.7992783961094965,1.8156914684814802,2.015899330744519,2.4415568464887962,3.3361990574297455,3.4668293610068384,2.339494803451993,3.580961103025205,4.091547378415047,2.6688898483663235,2.3163973914667166,1.818804391323329,1.5985566120592525,1.6638007147697023,1.639898694921988,1.7126224502695797,1.7091285557735099,1.9244409207101756,1.807409492132081,1.799340265714692,1.7944162555445435,1.7363650221741882,1.9033569164975557,1.768424753385161,1.68864490120797,1.7568975325763905,1.7603117436242535,1.847281158399506,1.7377209637541613,1.874083058332892,2.0935771426585807,1.8696941832137441,1.9280084125584638,1.7236225644714431,1.9797696316596411,1.7036598905825544,1.7336277830895042,1.668148912505797,1.6948319703632868,1.6377498986089112,1.6530504797669883,1.720267886675151,1.6110512583823289,1.7870324629607142,1.6004938436151006,1.6198160305651086,1.6709792295052117,1.6782958368180452,1.6878939205480472,1.7100025787524544,1.8846521637565357,1.81937602158288,1.736062420305299,1.6874026205560437,1.731513597093979,1.7412177545311418,1.6571482493735172,1.6695843279289309,1.7379775907420598,1.6445648390792058,1.69072304124631,1.622159648485201,1.6455309918498962,1.5665373927167816,1.5791220067287386,1.6948797990607483,1.5782694230652532,1.6099628111822482,1.7537098834821074,1.584051674374668,1.5367146280753565,1.5540811005519102,1.5645011846468468,1.5327421329573747,1.5698644591027344,1.5726161611249843,1.581556669928882,1.6571741929936663,1.6917670335719102,1.6724634279613897,1.5950502437058025,1.5935015374649606,1.5536079027674976,1.5403273822931867,1.5895779540520414,1.5737057297694201,1.5757415028343018,1.583078139931487,1.5594996353679413,1.611840172721282,1.6328305472629572,1.5927939343735615,1.6324434730665098,1.6483574247669637,1.6417551714177143,1.7313169580243286,1.5428611877959721,1.515265244478577,1.5602791714773323,1.613117507850539,1.6762054220219345,1.6191967773844214,1.5928028407143409,1.5713145320286883,1.5813469665261979,1.5568750810793164,1.5820117890602226,1.5432626049460711,1.5529063764941642,1.6436459500028469,1.632956605383472,1.885845742049613,2.4346486441740836,1.9018672670421453,1.7072790618219689,1.6184569596845602,1.6359748576334514,1.5734999662946525,1.556660957761211,1.5425369198908379,1.5675036240041835,1.5895690238718116,1.5700672618019298,1.5699295754380003,1.6337548486036844,1.618850651493681,1.715909295225609,1.7591297486903852,1.7240068315014754,1.6272366578242639,1.57433097790528,1.5679560183245367,1.57340002128498,1.5581262074759947,1.567450896745646,1.6012501653610587,1.6053584557497365,1.56306873951441,1.6054764694479768,1.500722479104319,1.5582727627607178,1.5800197728717567,1.585565722008446,2.2359884684519002,2.24156379173165,2.3313110683754426,2.5082825348858138,3.1459593174731264,2.2637281445289963,2.4127793418592853,1.9144136646811358,1.7985661237087376,1.7895541627466136,1.6360367115815924,1.5781347504972338,1.6075402334003657,1.6652086909870465,1.686309603002044,1.6903038999420898,1.6798763476746508,1.6580745149767318,1.652662275052931,1.7189713966067968,1.7121674930782507,1.690508067636433,1.768276858093106,1.7613815103793278,1.7536965035804026,1.731288863481753,1.7908052384110331,1.825796067479753,1.798871153271285,1.8453568189801148,1.8884580349969584,1.8912385675487549,1.940630077574429,1.9867243760171975,1.8566500613073018,1.8535852462560627,1.8376689657653655,2.29858407748114,1.9380115018311144,2.1025779322497304,1.8325671876126681,1.7706722397319128,1.7837162561306512,1.7406919102000131,1.8702798391990443,1.7352332877277412,1.7736562594470702,1.7016744302903832,1.7734771490677559,1.7215516124650276,1.9068794922664454,1.8706912810061884,1.9131229487128019,2.0247774349001495,1.797101723645899,1.6642357132367596,1.6390890058438752,1.671790005906999,1.6866925673396165,1.8927166395699986,1.7251280271895015,1.6722493520233972,1.696759149020567,1.7465582655341254,1.7323372584330394,1.7042312458339879,1.7707100065663424,1.7959857128468002,1.729368058070421,1.8519706599985966,1.9778099834671203,1.881608830782111,1.8588316389861264,1.9246643349475143,1.8475037727304129,1.8356886462492634,1.7849787260134025,1.7918441464741441,1.8111119089995222,1.7723022349509168,1.7875777297056343,1.7916097721357807,1.8015302026984557,1.7808817382990005,1.823545960851655,1.8937918138494878,1.8998151163500248,1.9104031844361287,1.8926612241192837,2.2793245256276826,2.130978763405534,2.097166778857437,2.196370152226673,2.2629615292196825,2.3779405070582897,2.0502157775420793,1.900442403579589,1.8402584246505989,2.0563273457049656,2.037769252845578,2.119473380941264,2.0668856195503635,1.9078411530939532,1.7268412277471725,1.6635969202892011,1.628655693315317,1.645556296056478,1.5763241949447888,1.590382890525897,1.9938967475556133,1.588556553008656,1.603010641639162,1.6557462960523106,1.7495645776543134,1.5711077311054462,1.6353713986924634,1.774766666257489,2.5411114994148534,3.457211165817315,3.405657324904741],[1.088374289624507,1.0746456675368143,1.1029423920990544,0.9275097264186856,0.9447500588423146,0.8874911619154825,0.7330768001731561,0.8287616281315611,0.6986878091907867,0.7269634582823641,0.7532952091823196,0.7870751262914378,0.7510306904451732,0.7799921401154203,0.9035076359686424,0.8377187369733982,0.8672183037496314,0.9366882506547666,1.1152131719817113,1.0044895819481323,1.1801714541811859,1.1276757627121494,1.2010422552126778,1.5072346529529064,1.0517529185272394,1.1256455038991264,0.9690127855548957,0.8482798724249911,0.8413070427034536,0.8222623045052241,0.9433466619036919,0.8706795294684844,0.9914871364937703,0.9965116283393589,0.9103396925749294,0.8845973962196707,0.8480318537815372,0.8340246465478329,0.8258829591029269,0.8023676120761012,1.0531888065677082,1.0578345954831794,1.0535785431297517,1.3056158244542115,1.7545239362443432,2.754595340384172,2.7847933853170583,1.6328775904858057,3.0994195343694493,3.6127233027342287,2.0095618468886935,1.795507714933618,1.3003683249893385,1.143291143087472,1.185486409178826,0.9026648266722608,0.9687961788436197,0.9403200415420633,1.1922539890510222,1.1310738264633324,1.081311707626715,1.1147742847825834,1.0810447710765139,1.3343642573079224,1.1362409123933985,1.0195440790244572,1.203412449927125,1.0951112130223914,1.338165204396597,1.1553567816740822,1.3256270844711224,1.6530439565306998,1.3765475085166463,1.4060118519459832,1.1429011455777398,1.4042182483176124,1.0557285742231843,1.0828752789234366,0.9528544708000833,0.9461836651449606,0.8953788455315395,0.8429487427284538,1.3406188591843162,0.8636569497007252,0.9187596657342003,0.7940602728251066,0.8378336108347523,0.8818203717110341,0.9078522063748277,0.9919505339786394,1.0272614791721744,1.2248411015924472,1.1243780603796305,1.04426975805124,0.9560657116212037,1.0434990450391222,1.0097388888159133,0.9232011125178887,0.9234950752874024,1.1583755270804492,0.9293877714534639,1.104549018279364,0.9355622040354334,0.9537830912504874,0.9159785344967325,0.8876732908170976,1.1529748470711036,0.8811524932316906,0.9316387689722235,1.103803856665437,0.8625167467551006,0.7755389966476833,0.7500126273568474,0.7568977296377183,0.7330734801965216,0.7959773762104674,0.8398377183572795,0.912607045881341,1.0402784804526273,0.992769353619406,0.9570310005986705,0.8732502498065766,0.9291641533068271,0.7957100643264707,0.7446079401502034,0.8256197342048375,0.8077095698254841,0.8331575628921044,0.8525964759453099,0.8503329499374622,0.9262288587488186,0.9627972281862729,0.9017987459712272,0.9246586027417528,0.9254904546761907,0.8905313182599873,1.1078419345689663,0.8713043294191348,0.8257060768371075,0.8387600289151658,1.0385454649357033,1.064022432824394,0.9264251319756798,0.8416830729433346,0.7934974067595628,0.808831323496952,0.767420555002275,0.7720029401288105,0.734545621562555,0.7474943152723784,0.9019017754859292,0.9121836171556835,1.4182384952786165,2.018705045749371,1.338685843220948,1.111445087115635,0.8695009619458254,0.9240367926387797,0.7982874988179105,0.8181346891895998,0.7637439469861631,0.7346909119781714,0.7936373106495375,0.7476676547642882,0.8331832703094783,0.9300589009927244,0.9325706699040514,1.1629352185228157,1.228041979984022,1.1844816133668663,0.9647198572156127,0.8512707566928347,0.8083458725388741,0.7987132011411958,0.7403850247591075,0.791904241758393,0.7923400874077392,0.9726776735655055,0.7923945935848594,0.8199024870186401,0.7854764025121409,0.8139663855392618,0.8361914183246143,0.8765949045364698,1.7722112864882105,1.8025893993912934,1.9225297556503722,1.9714978975409114,2.6289749952139014,1.5180343378678625,1.8167485972105062,1.6198708664361403,1.1579813485296526,1.1967590591872532,1.0905246801667787,0.9994892146012111,1.0239870732980008,1.0361219311187855,1.084812124877971,1.075479217099596,1.1368904017351322,1.1326765249788446,1.0574464121255744,1.176884265673346,1.2328848234162124,1.1774066584880996,1.2434134355385613,1.3024869953038505,1.3406135578663148,1.2547731804126763,1.3583840183802718,1.4331049774134392,1.377469345437818,1.411469769565921,1.5430436451904175,1.54744818191567,1.6606904046092834,1.6718235889368376,1.4953288528329216,1.5436430940642547,1.5498255854348582,2.1499795064924134,1.6496136003056858,1.7078113883222465,1.5086329525432747,1.429916350642322,1.4119734474210823,1.3369473798394784,1.4842028832762921,1.285122612646232,1.3128182308532366,1.3186827269149641,1.4034894070926205,1.253925531228719,1.417209726034448,1.4261625417406216,1.4741332567340975,1.4702177022026475,1.245233495087336,1.0945820163865272,1.1327860877913372,1.2464678742542499,1.2864669406632012,1.6456751486659442,1.3753842299571362,1.2687741114248792,1.3700829503382739,1.4637460255612098,1.352166633102543,1.2934483222911846,1.4937765765778386,1.5146412777707605,1.3463258045068407,1.5555075178106093,1.7532605848113267,1.591328572234349,1.5453544712255336,1.6706501487961802,1.5407662492681853,1.5456747125809045,1.4397990963603324,1.4642946515007724,1.529309555091939,1.3894332333083614,1.3948880601781115,1.4551491150833888,1.4572016969830588,1.3404913548534971,1.4316330136179047,1.5957049365008393,1.5197505487382765,1.4766986518008054,1.5582922094528189,1.9247612985205405,1.7677211024635293,1.7353101635232095,1.8900847175522644,1.9483093479350089,2.153809707175701,1.7257899690994487,1.5130293011600808,1.4084438887877817,1.6794404018456048,1.6167118665406561,1.7182839298845518,1.6083150763514937,1.409425784673459,1.145730426205461,1.0267124518889115,0.9567956595383039,1.0225485006681114,1.0057927249753078,1.146748943666506,1.6655941922821083,0.9725669126617135,1.1288507026698331,1.1830353913861607,1.1049940934984734,0.9706196990652148,1.2075192810461048,1.3917968401591614,2.1428746169637654,3.1257147017531874,3.34104238230238],[0.9376883640565893,0.9611521917386969,1.0169037624182884,0.8335427342649729,0.8338937782392324,0.7816173061641483,0.6801381208158195,0.7811024968744349,0.657181788153719,0.6762190007729093,0.7017722622656317,0.7338602348674951,0.7043440385803164,0.7403624528990027,0.8565727728311016,0.7801937461497941,0.8201316717450431,0.8770915668185836,1.0410093622175076,0.9339389450124277,1.0272086323274359,0.9862832002068206,1.1046469632730724,1.3272241297884255,1.0866030962335493,1.0737908796100957,0.9160737357491306,0.864230457516417,0.8288866724512581,0.7762062927557198,0.8811821926118523,0.825396099147783,0.9688935835309316,0.9518199156571554,0.8684650057152838,0.8239332515838825,0.7703847735643117,0.7616140785068022,0.761698003948382,0.8322314745595697,0.9119102177390497,0.9098911047622397,0.8813671081085043,1.107007744794323,1.4423019665838068,2.6278423446920476,2.646111311308628,1.5065047681560508,3.080196828089743,3.6433799239679345,2.0791928173839107,1.7307369982753436,1.4862292211047587,1.4035496706070414,1.4705823427153553,0.9947359039897087,0.9273311966408552,0.9630824279966714,1.1381797265575813,1.070600068221555,0.9757093269412116,1.064814190188996,1.0753468513963043,1.3190016325002623,1.0906042768129436,0.9940256672689263,1.224071205492836,1.0279109778109279,1.3172687521214215,1.1393686168662094,1.281592464349877,1.602846338342888,1.4011869600011042,1.3655493751048409,1.1530821264603948,1.359250987735102,1.0335772657046964,1.0667806857179853,0.9140913473827432,0.9055038398229798,0.8663323587213704,0.7992291377279744,1.506469499340272,0.9627394689145421,0.7231909453598387,0.7481423894611233,0.778265204897144,0.8180261873924537,0.8479967698132989,0.9452980652197333,0.9824365656266525,1.1660860931793091,1.0445065391452606,0.9874024176181658,0.9129449585043059,1.0164122126485697,0.951094282076322,0.884763085067718,0.8831307034879282,1.127888932336472,0.9065508787786861,1.0993778936072172,0.9264337585321327,0.9588317771105583,0.927257498507057,0.8938756199116636,1.1478450588550935,0.873057624264129,0.916775203225106,1.0734305595125544,0.8241377564115053,0.7719266897106453,0.7051341042821426,0.724990672458587,0.7360878716116157,0.7783473834011275,0.8888580278023033,0.9482316767346562,1.1183122257193208,0.9735042472734804,0.9728365022513866,0.8967253071203659,0.912045297971985,0.7609855503028482,0.7026819086990381,0.700216439120035,0.7116030802703387,0.7720795889064058,0.7886172870024035,0.8274098641264395,0.8580396449461261,0.9142848937181882,0.8343829580785352,0.8747031220917064,0.8371254814234431,0.7929978622649064,0.9801346039563037,0.8280936614317577,0.8450800424595358,0.8259798323177993,1.0942487161724461,1.0779317190983841,0.9345555887969772,0.8361093838608036,0.8183231254610791,0.8071856962617238,0.7660875561047187,0.7684957786576746,0.7523603029015055,0.7561891748256666,0.8877098982608349,0.9118406409487833,1.4554510039127915,2.0183400274531085,1.3138313650537587,1.1076656182898308,0.8408453054460291,0.9207052560764533,0.785040070481635,0.8521010161107845,0.7529757963434806,0.7533446431185481,0.7324938810712894,0.7486567176470658,0.7526235488729188,0.8076739131734874,0.8506898514734471,1.0659403948381196,1.117040108806282,1.0943235897818553,0.8677522387646142,0.7833685815649211,0.7727235320899174,0.8034255649384012,0.7589831333907731,0.8177283746739481,0.7901474983109918,1.0148563163145177,0.8324368477529787,0.8048475172206713,0.8791739846732378,0.8165903664891514,0.7981275993070194,0.8252533501466157,1.5193719149374925,1.5224255016066375,1.647550524922456,1.612029889640581,2.247964602606307,1.2719442195319905,1.8579204018900022,2.008172763153476,1.0435381547825846,1.0733673685369163,1.0304796835514465,0.9626666807202601,0.9164467022275854,0.9522729504576596,0.9978054695230839,1.0074530783544362,1.0883765578150226,1.104561184547852,1.0197620886297822,1.1109364746217674,1.1874680746509878,1.1390563320371956,1.1605238071612467,1.2474525112022905,1.3009989049648218,1.2097562696837876,1.307700392916478,1.3781086240227867,1.3267030442979537,1.3594219436014476,1.4934737642207139,1.4802592557870131,1.5986117109720597,1.580460626378713,1.4165325508561781,1.4711525037744015,1.4787130965428026,2.077847118596447,1.563330273371818,1.652273288195723,1.469009696326168,1.3963665041277464,1.3630796691043268,1.2900337425965278,1.4051496272148456,1.2468391664721545,1.2885853292972775,1.2877117104757747,1.387636092549453,1.223740520431261,1.3470542157520267,1.324245972421371,1.3226941732922,1.2845785848055604,1.1488610995528066,1.0707480010966413,1.1352363164969133,1.244986997541776,1.3166010181243217,1.651403144236094,1.4149929343932053,1.3094629140024687,1.3662341468042356,1.4601990556443663,1.3635809904051381,1.2766909486920672,1.4696549835095296,1.488576006162331,1.3214361832847719,1.5195836531050002,1.7142107700413125,1.5434165580295807,1.4955451651973066,1.6070601846509152,1.4810393477927126,1.492885432527665,1.411917063372907,1.4239542335817112,1.4642476238958972,1.3362173773332293,1.3571488127479756,1.3912440815427902,1.3889404596241186,1.2714207553320016,1.3594167964736623,1.5210610170471364,1.4254242477736117,1.3490623043241015,1.4541885126682161,1.7709283004297003,1.6352595988505936,1.6100690425042472,1.735261844357111,1.7763441075653423,2.0163945617826418,1.600690823547506,1.410837084232583,1.3173485846071573,1.538604884026073,1.4509361192797081,1.537452852572355,1.4439144332605072,1.251738920965367,1.0417772705325576,0.9388380519077758,0.8652368691824541,0.9653413244456569,0.9892497803038174,1.1252788169345294,1.6779707243477089,0.9312600640035227,1.1037784111397628,1.1827973727570333,1.07830126307686,0.9640026876811387,1.1807414996029353,1.3415531347914085,2.164862318651431,3.208584290811876,3.429233029669157],[1.2625033117463758,1.1888569680667553,1.1485907681141792,0.9688329778994553,0.9956762901606918,0.9965415335585739,0.8516956056666607,1.0024224643646895,0.8188980936802502,0.7649176115027125,0.7700937180327295,0.871164923893741,0.7816634462150275,0.7358790627762882,0.877579775980379,0.8461070871857226,0.7959145616334454,0.8715363422985418,0.9835613839047977,0.9255762367803362,1.0842730460546663,1.0303756057292959,1.1120177141226937,1.3750750743081996,0.9377068897851043,0.9938888001676043,0.8700163044628342,0.7495163486824088,0.8004935433498241,0.8494361433784988,0.9294300165803479,0.916765442369408,1.033831036270758,1.0270193641279148,0.9473547190895016,0.8905927639346453,0.9084060934391698,0.8235078772791903,0.7941645571655174,0.8167940194940698,1.0282286485610477,0.9702527543469708,0.9791754601057672,1.1964770678599663,1.6266036841803853,2.6950160800404754,2.68900615254681,1.5228503227509211,3.0739426838088693,3.5334746654781117,2.0032190398105283,1.7489843992678917,1.292466355183392,1.136102324598517,1.2067089248537615,0.882079418096129,0.9026397981124151,0.9275923991901325,1.210045203738701,1.0873831451071516,1.0140614179574439,1.0648143154185576,1.0414570682567252,1.2406850418248236,1.0347224978085323,0.9534892602610644,1.1218936532746122,1.0289228042466934,1.2427596689090699,1.0498272149514518,1.221577493830031,1.557026013915084,1.2749643066893581,1.3125382876121783,1.0575359313702821,1.3693749546255967,1.008091288859038,1.051540084448506,0.954787412636758,0.94801048255154,0.9317494130684474,0.8630951126875256,1.3817160518653944,0.9614576484278157,0.9887306009305984,0.8478670501591857,0.8490394531271609,0.9553009550911882,0.9079672614843726,1.0334744990685065,1.0156529879936083,1.163155404848235,1.085377120422676,1.0458585622244487,0.9633911417086364,1.031308603202027,0.9802439121831127,0.9735496974428435,1.0093587167470723,1.273387338850137,1.0429705737396522,1.2354995076186737,1.058699604358402,1.1217928254655296,1.0736765629587013,1.0527119381178978,1.2770837564040163,1.0466435743667524,1.0820398093436119,1.2582541603076323,1.027184338627279,0.8941175748710438,0.8579895437229721,0.7981832389748706,0.7291400851030087,0.7175062495516235,0.7367132889730134,0.7436022314671044,0.8688608047578918,0.8493030542904553,0.7823572982685095,0.7362132292059539,0.770514713902878,0.7083075006661231,0.7443925966651406,0.8352506780681784,0.9057547677483254,0.9105730379760043,0.9607967657155374,0.9659260956402221,1.0074159278925978,1.0594505720322096,0.975166780464136,1.025021324829158,1.0024172502640754,0.9564575004800593,1.1086488925062778,0.861672307413787,0.7756319977690737,0.7548345612921127,0.8781056303266693,0.9019450991971577,0.8131477025832465,0.7287497282925277,0.7221769574367233,0.7492215800580876,0.7310102320409979,0.789669749330238,0.8281881148108944,0.8696907988968245,1.0582832091666128,1.0916627285156812,1.5626307204935057,2.289835089635344,1.4862142691231597,1.2713654533759011,1.024153091321192,1.0843460729817014,0.920985772177164,0.944484981389357,0.8527887724900667,0.7765418277867087,0.7859727924625152,0.7424462839202777,0.8427877958206501,0.8718788466518173,0.8627776521002003,1.0187219892462187,1.1239797181497333,1.058273074901914,0.9202254964460429,0.8310895117042583,0.843847668161224,0.8400416017398998,0.8254422537047301,0.9270731089102118,0.9135240149540717,1.0681301755234365,0.8818168683647478,0.9637446295787837,0.8241380233463019,0.9112285587343867,0.9294290533369197,0.9311382201699532,1.6477896531387006,1.816589078249369,1.9596036319504515,2.003050175002418,2.527799017794761,1.4511474926551955,1.8228524768584826,1.7028922921564387,1.130997488305107,1.189199282457348,1.0948375465630975,1.0130385373201045,1.0188487246600646,1.1039955184201322,1.1485612587876832,1.178617417560035,1.211320344345182,1.2233635279504096,1.1634051414289255,1.2338196985538006,1.2897765463204793,1.2580078768161251,1.2827180623745753,1.3376440985612614,1.3781167867296908,1.3081428211746575,1.3742978116454805,1.455223977280844,1.4305581281063007,1.4408654906913876,1.523169876546435,1.4967663226612542,1.5924634808600853,1.5872812710507838,1.4462737011400093,1.4918969994825282,1.4813225069467295,2.0734219465938915,1.5658894653499142,1.6764118718185002,1.5239428282286702,1.4352496639566668,1.4176132903202912,1.3474273631705034,1.4544600898936395,1.3212786685965006,1.3488732055680908,1.3213161205465047,1.4096871955287822,1.2641813455548832,1.417200718693865,1.3791323148798884,1.4304227100881393,1.4664288670326475,1.2666962345439374,1.1920918698313925,1.2176428577370872,1.3303082145479368,1.4214042501314939,1.7095057660185844,1.5447353991332073,1.4140071808819712,1.4313691908093893,1.514296198691539,1.4464383136759722,1.3511740990982235,1.5132014052485454,1.5359374512438597,1.406259981399411,1.5565518196176609,1.7478016313707205,1.5976375291226692,1.551550271361671,1.6440388228776845,1.5237540586379439,1.5161699017486,1.4511432485178826,1.4603594093193877,1.4912534551795826,1.4012900714747023,1.4065331926126756,1.4249704270648338,1.4278156996017288,1.3355899423993185,1.4030285071404083,1.4953236130747625,1.4616134470278241,1.4248893531928883,1.4495346706187702,1.8482071312904058,1.6646217288209864,1.634353959697072,1.7404713199890702,1.820725287815038,1.9659007276749947,1.6252994387754343,1.4506282097688201,1.3896212581968044,1.606208219795692,1.5425600306047338,1.6268153159747398,1.5364884267882437,1.3722749444464493,1.1740363361139639,1.1011096661524395,1.018450708718281,1.1362614905438544,1.1445014280450836,1.2500377662992257,1.746644348215608,1.1228327286907351,1.2382655341274977,1.3379100314457308,1.3330602731774945,1.1218980155450256,1.3122355734465154,1.5070218317188269,2.292548754405591,3.371684626891953,3.343576404836589],[1.0720768254501762,1.0606026449668762,1.0669351756895182,0.9552072061186644,1.0025312628505683,0.9371355833327515,0.8383270916742923,0.9409954080508841,0.8307161446765101,0.8588675215223545,0.8755926159886246,0.9035355926656498,0.8751458527192681,0.8894970462644984,0.9986324107904375,0.9510017605732735,0.9331943985832928,1.0226556852903903,1.1619990101792028,1.0931939539554207,1.257735504355114,1.1898957853366212,1.328184809056834,1.5745722370334132,1.1418534642305371,1.1883085127108215,1.0666402798964103,0.9303795087223382,0.9324145844077751,0.9300143849196171,1.0526291410395416,0.9740801479425432,1.0689642296460178,1.1031730705145153,1.0355247012905582,1.0014602065761848,0.9778443223068468,0.9516832674570191,0.9367924611510271,0.9555346552620918,1.2004103217303217,1.1443802633325837,1.1471978998993924,1.3497942640199114,1.7755381755868533,2.8178166151108583,2.7916859985789846,1.645291303000222,3.1913453132327096,3.6048078562363655,2.105066354685741,1.8415417669556358,1.386333907637107,1.2386576387508772,1.2653326994443994,1.0320846420513667,1.0498970179540705,1.0594359878347492,1.348255329764953,1.2347449753637987,1.1727948260247538,1.2226282736688927,1.2016616017137531,1.3962341876132107,1.1984330659677247,1.128795360909228,1.2846784886056022,1.1893362425591945,1.4217457314259712,1.2031489404061952,1.402624304109864,1.70646780543564,1.4060326065315316,1.4647240060078832,1.2084095469718816,1.5075700830797385,1.1495108358245991,1.1788582208845662,1.0726268436461035,1.066930290011511,1.0040691700684738,0.9325663621650996,1.4031811363619542,1.0344954742970756,1.0663421237730464,0.9273461217869626,0.9546876962350671,1.0253461998588553,1.032345676063556,1.134875597337411,1.1312962298652827,1.3080979490782256,1.204542509876193,1.1322057887418449,1.0534108107577085,1.1076109172512114,1.0798879775518009,1.017430090894321,1.0276449755528536,1.2463746112869485,1.0273936441667442,1.1690941827431216,1.0337324736667408,1.0409257337632865,1.0027049485597856,0.9555064846253402,1.1743977311894964,0.9264804387077793,0.9644475108390492,1.142362380610391,0.9226026475360077,0.8570827982061745,0.8564581317449249,0.8612299107039646,0.8567263316540464,0.8937656303053189,0.9272127736507229,0.9681689057241967,1.035142056425352,1.0133866053742056,0.9912115087668869,0.9423023416550992,0.9851390881989537,0.8803035146816115,0.8428628283622587,0.9101270414987875,0.888433763034822,0.9001826042256442,0.9108366067407362,0.8909791832918891,0.9585599349461534,0.9920108338102833,0.9383636372219569,0.9538876912579973,0.996453505647553,0.9655193686549097,1.1376720456964209,0.9396277692161472,0.9246153402161293,0.9090668128458881,1.0621968598408482,1.0964310726441875,1.0268491291698822,0.920071964576032,0.8994905909794947,0.8911241596075176,0.8656253721523846,0.8585974799506041,0.8507705772550367,0.8663892348771948,0.9783121611396728,0.9982763841679261,1.4513107780556265,2.1538453449094153,1.408328379857888,1.189196416527153,0.9755005328904608,1.004266465041571,0.9185947546960972,0.9012055739735275,0.8726301462813455,0.8654924497933211,0.9003395850850163,0.8619151953365709,0.9338605417810374,1.0018853301574366,0.9511622456596384,1.1127329207562437,1.1856930475270653,1.1420417521008897,0.9852288376564254,0.9128023827562994,0.9014949022460066,0.8739903270656049,0.8634270941731564,0.9084618200815874,0.9299315685353807,1.0889477732294923,0.906205020800367,0.9628312814197915,0.8375320316217982,0.873722154969421,0.8854161196930754,0.8958369971183029,1.6162428222583265,1.7953958544187787,1.954706334000758,2.0173476390677183,2.6051991134716723,1.5615080504454353,1.9261290656863232,1.7388067278918602,1.1361207668549163,1.200204506091732,1.091410102995354,1.0068464582954462,0.994727353837911,1.0325176528289335,1.0774042815617608,1.0690124831623358,1.0877361847827822,1.0821648508360038,1.0398172983874434,1.129909749695381,1.1642285638422758,1.1236948934127582,1.2032649305621004,1.24192433455706,1.2484861642529135,1.2047527862874603,1.3017511313111405,1.354976067229363,1.3083337180812153,1.3695423347059374,1.4745051147445498,1.467459078727018,1.5621694163424804,1.5672443139991652,1.3904748362736994,1.4301859925603964,1.4282220071398812,2.045560184181399,1.5172233304814633,1.5850473101776665,1.410208789686231,1.3121293823676852,1.2912343492121046,1.2273362145632771,1.3423609124739708,1.2047267963299368,1.2487253751886962,1.233556662167904,1.3386480971823154,1.1850698146230647,1.33909220640309,1.3344165806516088,1.3731918187037655,1.3934245639943847,1.1821225312211083,1.0827456034827792,1.1034487918978195,1.2090848552322695,1.282424613296009,1.5665204503204329,1.3881777351722024,1.280876966959218,1.277774402173364,1.3768864733022048,1.298168800757058,1.1907662159437766,1.360081584574241,1.3759730400620174,1.235013424761086,1.4093205604484274,1.6073046418536043,1.4417680000546464,1.4166601176322489,1.5243773419101387,1.4050554338351402,1.4014899501565983,1.3200109469855017,1.3350199438147354,1.3894494019477235,1.2844232651854115,1.2903789590612909,1.3325773986146965,1.3413967048762836,1.2452578388087572,1.3154625758616174,1.461305067013904,1.4120649265764997,1.362146245763577,1.4088260261749297,1.8105814264479776,1.6543203229117922,1.632478943566461,1.7633421033707297,1.8426504116585698,2.006358868250299,1.633706971517016,1.4308159290379427,1.362473514926994,1.6134897750119965,1.544163717233804,1.641049026650589,1.5434376593580919,1.3305779702720142,1.1359427043569867,1.0298976943460538,0.9793152200001488,1.0388068674530668,1.0001658749667273,1.09430740662945,1.5826553461340327,0.9771811488972296,1.096192166880666,1.1573545250778112,1.1491543271925981,0.9906452788444774,1.1760897022758716,1.3470197751752049,2.1629691749651347,3.2180385934828855,3.3583447415298235],[1.2825527195273132,1.2813896382262135,1.3810109864968287,1.1354310738178743,1.141789158798968,1.145200498024152,1.0324575727524903,1.132494865138707,1.001490104388462,0.9070272847464128,0.914403406619259,1.0223821975144662,0.941027236749374,0.8571061894425138,0.9752070119929478,0.9564123257430994,0.9004807847139595,0.937616094610107,0.9777636199850624,0.9609466679104791,1.0124891576209971,0.9843332224627646,1.0532021445645077,1.2465973006018252,0.9866125507611453,0.9930611172805357,0.9383497577714389,0.9057154214668052,0.9494371028050692,1.00614330017632,1.0120474421750625,1.096631591249612,1.2414050966930754,1.1915809554699437,1.1348926517156943,1.0108800790817194,1.0522978422959735,0.9515042125428304,0.9372325747135859,1.00423853943736,1.0244290745000117,0.9806584228051494,0.9796395104855521,1.157485715916802,1.426903894940217,2.536460155987107,2.5207627980627194,1.4890245066534324,3.0289117136684838,3.5414847996105423,2.029310108983935,1.728723637159962,1.537716085198786,1.4250719917457093,1.6202616520810669,1.114422059925173,1.0165717360583277,1.1004343045428449,1.292571117472099,1.1352430635370259,1.0341694994608566,1.1353135704832658,1.147008554208381,1.2696599928721306,1.0778218188654092,1.0337745124992854,1.1675597511989593,1.0424866804592088,1.2626203188617569,1.0535650410097466,1.211206517073336,1.5328955102794077,1.3236441479900551,1.3164545870754591,1.1335833383167953,1.4639021416006883,1.105111411965108,1.1936042420033848,1.1055796710726753,1.085732108568589,1.1194633737822877,1.068506636551571,1.7203806597704936,1.2431876625408795,1.0191448657505966,1.0353173515600524,0.9987116239888416,1.130091962869063,1.0218750813706923,1.1657685760631367,1.0884553637883254,1.2128014427488831,1.1296764945478923,1.152267721573926,1.073816299615073,1.127827799293037,1.0560363055542314,1.1445603857115043,1.1765985348908636,1.4456877298735726,1.2471436014759423,1.4621069488719156,1.273576361153874,1.3227358712553223,1.2551910907593355,1.2523816430605614,1.4765641557731128,1.2933387836642463,1.3074262220829187,1.412595276464226,1.2115441175603094,1.1308647455994054,1.048768066934165,0.9939209561431525,0.9500426966875622,0.8960578597684814,0.9370842092656109,0.9328696643628583,1.0300301749676535,0.8974597467836107,0.9083804118732425,0.8999277490258059,0.9374925008417647,0.8946535896355461,0.9149469676434955,0.9579924278077615,1.0752672943700219,1.1230639667239142,1.1643483839806852,1.2099226588212895,1.2304085441769694,1.2899511450092378,1.2086310020517477,1.2303211731464532,1.1956592683351577,1.1227032876358223,1.252329448767909,1.073353194047806,1.0112193081397776,0.9637330953073775,1.1185016017808156,1.0747048989475556,0.9690315615879094,0.9277337300652422,0.9331625143986668,0.9582158480519055,0.9480586934769784,1.0000594514346184,1.0654096732411937,1.0848684019113302,1.2396378316987622,1.2822591744356076,1.7354297580432547,2.1610419248403008,1.600511613633797,1.4360649300799173,1.19630682204708,1.2563786205585292,1.11878142683689,1.2210589978917596,1.078748836937862,0.9958687709170303,0.9550652742018637,0.9589136073282902,1.0209524254121936,0.982282495512717,1.1005497677132077,1.2569914264839512,1.3638391632500864,1.3050421852346594,1.1383810505128371,1.037588066324481,1.061607575319756,1.0986377616406406,1.0799601394828855,1.1569862472503127,1.113660389672147,1.3286096845818245,1.1562954766262696,1.1480433185326537,1.1984897258969807,1.187771050732061,1.1636685340600124,1.1737235264063957,1.8164910904910154,1.8007623812830693,1.9000506656072154,1.873834143046126,2.308604442094451,1.3721179478456753,1.8868327558903488,2.083347103191597,1.3263833275009713,1.4572772290944487,1.3926447611820802,1.346395198322159,1.3259013245864775,1.3206218318248362,1.3479360988077207,1.378715605471426,1.4679346920495568,1.4935319592610015,1.4052880314126852,1.4562150375822847,1.5675904210986848,1.511273636675503,1.4614117396287176,1.5823369805326677,1.6684941884643885,1.5608181865308266,1.6287885930949917,1.7031047036504152,1.652676703697344,1.6483288108447127,1.7863067736461493,1.7530696282317924,1.900786281483792,1.8388631282266743,1.7275281244706873,1.8207899166340766,1.8426890432397804,2.33745609893249,1.8885490494985149,1.950785273375097,1.827458280397864,1.8035245584635688,1.772251170895206,1.7169677815280577,1.7930290017310104,1.610280534047077,1.651910157201497,1.6719002774337044,1.7266411185932862,1.5701153064226787,1.6662287440445824,1.618511110835196,1.5948019596865737,1.5436824505133089,1.459993598995087,1.477562692936929,1.5489890821253198,1.6434706005686457,1.708834973780891,1.960032687003134,1.7999913343529248,1.7084824445689082,1.7902911853831445,1.877905296694518,1.7405217179394055,1.6912733879535573,1.8846897057083378,1.8856354438982323,1.7101270282827183,1.8831942971043834,2.0342551042573507,1.8898236471749204,1.845045506857444,1.9553758961215868,1.8464952419699068,1.8885772091003044,1.798702266004604,1.8207430967877973,1.8562119638807908,1.7018741638902088,1.732501015545536,1.7554575093463107,1.731504955362551,1.6137263534617259,1.6850958837054115,1.8306591187985475,1.6986114897371138,1.646169382321658,1.769927765440523,1.9382793728299534,1.852308330680791,1.816298954145904,1.9291597381868948,1.9368943291260723,2.1855900409481426,1.7981258388556511,1.6648295127244486,1.569555555352865,1.7248138106781687,1.6236690958663498,1.6890277439837869,1.605824940994098,1.4937590250897936,1.3568122897365067,1.276498728507098,1.1896907434746575,1.3290564011468224,1.4019058256184969,1.5524042648768437,2.0536692253618076,1.3324747177523506,1.5120017011946183,1.5741278783982349,1.378695334239587,1.34538979556953,1.6309699395783497,1.7721542881056238,2.388727954262331,3.2823695107672997,3.7712361578322606],[0.8839845409339055,0.8348780403173717,0.9986545633344733,0.7488712257472727,0.8031461327438902,0.7944484120421956,0.6636239699436768,0.7946433566171273,0.6914586160474645,0.6700283822827442,0.7173223138433181,0.8016851585072713,0.7283142050414413,0.6722246282989008,0.8248155857545859,0.8072462943208352,0.7504291758419499,0.799492830538766,0.8507065922915262,0.8292714313258824,0.9321928158111564,0.9011472484080187,0.9609288559989592,1.1619155531566623,0.8155958622154429,0.8533223984947143,0.7711040060963598,0.6766384108810217,0.7431956185997365,0.814568919733241,0.8944148966374711,0.9153713650668424,1.0648447884240342,1.0434341681291048,0.9678996607056565,0.8612511414348588,0.8671500062206878,0.7662312819019893,0.7219473936596807,0.7355040920759042,0.8750623863160218,0.8630420514279681,0.8603364749545205,1.066584899412705,1.4289748472522017,2.568083136398772,2.4861983672972285,1.3786736479418644,3.0244167704830427,3.50922331842212,1.9003108084036109,1.7161840761348839,1.2923714126498906,1.1400776200583922,1.3613521909704935,0.8844750246229313,0.829428110264242,0.9092110398363717,1.1893433889285576,0.9918192836862111,0.9467185988623557,1.0038684202136212,1.011284185642608,1.1096435124260324,0.9483019569122388,0.9071483626782445,1.0420349997845435,0.9537436777074143,1.1600647227880552,0.9314927947496076,1.189560484279664,1.5102559574021521,1.2423708584152582,1.2233952805324944,1.0217404890446662,1.3791264326610033,0.9794458514023556,1.061331659253951,0.9661632849102936,0.9326773689616634,0.9489351012046929,0.8826068331418955,1.481434945065999,1.0167945503859035,0.8474856715237478,0.8199645053840992,0.8152325106051237,0.9689470775152795,0.8868457879598455,1.0319822490538069,0.9776161628449503,1.1232247006028184,1.0352935290264418,1.0258950545904353,0.9344148202308912,1.0074891470309204,0.9389630521869861,0.9663745641543571,0.9724934333334343,1.1896345983648084,0.986998027490513,1.1530085880990502,0.9852490794004156,0.9956726905546854,0.9493697601823605,0.8740019192829013,1.1309401960850902,0.848495559548193,0.8711759875595881,1.0280828788925716,0.7963037576145259,0.726764887930867,0.6915317514769758,0.6741415784062544,0.6799399066449181,0.6510494236335174,0.6652456043261328,0.7001495081529746,0.834512911214433,0.766661343476048,0.7244556060195085,0.6793448793692111,0.7355072438953265,0.6354723467836818,0.6474507472707396,0.7069067248447823,0.7120345683365329,0.7194469210206317,0.7420015536847184,0.7606085957877463,0.7971424378297206,0.8314669545768165,0.7791728717403174,0.8100834098035973,0.860490871852173,0.8059521008153756,0.9929338992464967,0.7811204535362612,0.7228689007203803,0.6901953852852819,0.8433292143928804,0.8292602410535982,0.7511662083470225,0.6809089088530779,0.677542206859112,0.6899914514155076,0.67565344976375,0.7064812246094319,0.7166089850727906,0.7329193408443746,0.8694761916729347,0.9208615203304266,1.431449765441645,2.0286445506464075,1.3165003493072651,1.1387399608970814,0.8969972904248755,0.9327476660931421,0.8172068255254269,0.8270190889902492,0.7449830307501454,0.7073344937443115,0.7095578135813875,0.655765375673468,0.7751266919807146,0.7643086475574897,0.7635699292823115,0.9268781785708039,1.0296658357396948,0.9925548712251167,0.8110654482392268,0.7331473564313717,0.7564897070392975,0.7448780706889536,0.7477052763534299,0.8233025598223939,0.8408950078974586,1.0686005913230128,0.8421602336041465,0.8930920104153403,0.775973149132534,0.7830435194070857,0.7550249318381451,0.7471816948528839,1.5766614710814717,1.7659687759304175,1.922257278143077,1.926496095436986,2.41847517438286,1.2820881659745735,1.7461715263022983,1.7601598802643559,1.006148232259051,1.114341989284951,0.9827835592006616,0.8947162265368195,0.8832478416260089,0.8604877437929751,0.8972378860277241,0.891076606270332,0.933531332078774,0.9506270004951489,0.8915712022483839,0.9621185197580574,1.0159723434013315,0.9700393111266141,1.0388255019493235,1.0711293711733936,1.0887043156375582,1.0539182859470366,1.160557064854634,1.1956621252781559,1.1453170114601834,1.2912082983550006,1.3740417729799974,1.370156386534636,1.4324256869784393,1.43668611565313,1.2587845747120627,1.303808707917129,1.309835781662946,1.9493541464214172,1.3891564352348489,1.4014799542466005,1.2501298174725384,1.1993569494349123,1.2014972318089585,1.1942903926655968,1.1949152342084313,1.0406776950875027,1.0986423112890313,1.0962512431962967,1.1977755242279773,1.0133743387704803,1.2212189831385571,1.1810860904924725,1.2157319174272387,1.1860397755784486,1.0157849574735842,0.9713028224492799,0.9960673402337373,1.1113816942961965,1.220626090226183,1.525289673908531,1.357669417863696,1.220345499273631,1.2228733722455387,1.3449465136953092,1.2628991257798252,1.1155532391208427,1.3017183013224054,1.310830231352463,1.1261880647970963,1.2831793922074086,1.4761685560797744,1.3202793215220645,1.265303567390287,1.3809525292332898,1.2716803796415692,1.2719288962112723,1.1857060438157292,1.1945097089670236,1.2514901503479994,1.1316997403354812,1.137705471588917,1.1774124764171512,1.1836029291668322,1.0835415885903767,1.1344245856862165,1.29554362105953,1.2536583031847641,1.2049934960130146,1.262419953252814,1.599798060441537,1.462394309623791,1.4560864122614223,1.5673845900443588,1.7044053851904284,1.834706224092092,1.5222564724784429,1.3179756299498047,1.2531764863731227,1.509800597611878,1.4084794929845967,1.4781447045314513,1.346990612519231,1.1648432097487045,0.9701574135025802,0.8486279237943201,0.8000426850087538,0.8843889614640352,0.8969658056014461,1.036902673357436,1.5100618656767342,0.8639214381987941,1.0261851654239191,1.0541706919236637,0.9764920782482076,0.9018583101011637,1.1478562311612204,1.3063539534376574,2.029106141214505,3.1388901805669214,3.47070515573981],[0.8030901493704716,0.7143671405167207,0.8295152768212859,0.7025836725556203,0.6873548904473799,0.6949511412131048,0.5783939269890352,0.6687478430380925,0.6009390479209566,0.643780873859903,0.6983230270102326,0.7582235573844311,0.7180901367627786,0.7225206533066314,0.8952627556061825,0.851670607492997,0.7954357897329415,0.8958228511920286,0.9996752411993555,0.9496958917500585,1.0911567012044112,1.0278718735727075,1.1090343997780172,1.3785406154182427,0.9924491140888446,1.0411927757442347,0.9027498783116013,0.8019147526824904,0.82817362801817,0.838764987217168,0.964665706450505,0.8880739704824991,1.0791516368714462,1.0702619319121938,0.9747496177014169,0.9038209135301944,0.8600855354302598,0.8149797138868782,0.7760085879252049,0.8091986525519054,0.9211118420919335,0.9457204750890473,0.9782253396899587,1.0651762054129692,1.4016872464629753,2.3808232174233255,2.2600029235420025,1.2214959607108604,2.7826298390431345,3.166200355103993,1.7348702768665565,1.5307971480268767,1.3573942778573258,1.286702081956229,1.4670247657325215,0.9643718871764908,0.9111069488774791,0.9882549328735659,1.21544236094311,1.1392200192361224,1.063569311925446,1.1385581310014745,1.1510530676017572,1.305636558309684,1.0976544407379456,1.0143192987850216,1.1531189956725894,1.0519429377446297,1.2890268013434771,1.0627209973262999,1.298666619389616,1.6522134698262922,1.3703459955238526,1.368069616226275,1.155402480445347,1.4912295877738364,1.0888638156180814,1.158357497629993,1.0341065780823862,1.0090824472800421,0.9845285133129262,0.8906779060722667,1.5459145003648296,1.084781932951035,0.8190764463336943,0.8118141784226227,0.8493540628185754,0.9648567924205371,0.9394737040398614,1.0673113795216134,1.053060644551544,1.2255696755778926,1.1203144394342592,1.081854294761911,0.9810496857853537,1.0524867858636568,1.0230705422917359,0.9610371941736449,0.9387059857823835,1.1662797216457146,0.9411332698457424,1.0654274352092619,0.9186009943500475,0.9239999417942598,0.8999783682317966,0.7890066847684111,1.0185643451656443,0.7027600217131168,0.7140437704929556,0.893980495867945,0.6739994803840262,0.6372674315048111,0.6030541809088674,0.6308446050661316,0.6894014544886906,0.6812267247494082,0.7904162575920242,0.8155431542825494,0.990154040810858,0.8673434840905181,0.8476377550846407,0.8078446060333632,0.8111695944960742,0.6812307409468068,0.6153236697436447,0.6174527509785736,0.6219441441517491,0.6111154016832576,0.6100313678000802,0.6507064997768015,0.6411728680636122,0.704675019475109,0.6456741271616329,0.7101506902336726,0.6760955221735256,0.6547088455282442,0.7803286048721152,0.6804361354014071,0.7369709810875702,0.7029607787282977,0.9588831761867088,0.9425148758453582,0.8706610478757388,0.7494024618824505,0.73656251899462,0.7482254040415532,0.6943233581933648,0.7225015240245347,0.6879486760348513,0.6720081422200574,0.780556933235736,0.8403181644484299,1.374975702837889,2.0746408410259622,1.3093516927622686,1.1030591155524327,0.8566650918412141,0.8798434859227747,0.806954220476638,0.779478199110192,0.6823302493186186,0.7291231313918735,0.6934187052983208,0.6960876232134068,0.7000414305177682,0.7786335719697417,0.674335753123061,0.7948071396480918,0.8655670500509556,0.8384804115987774,0.6637256250441036,0.6516425986427183,0.6685089926351706,0.7119722562273013,0.7328671935649571,0.8182621580895668,0.8350101091397613,1.073464144281931,0.858420798593237,0.8893997492375645,0.8044515440006749,0.7342033435433588,0.7131640836203483,0.7144921030818088,1.4397609970192655,1.6536182708591787,1.7862161785840207,1.7983104225815545,2.3020772024086935,1.231096878966335,1.8163370747186538,1.8695223830710408,0.8417367640991312,0.9626934453331633,0.8418501153700557,0.726872571466885,0.7401396454265258,0.6918982334695595,0.7077447647842036,0.7200242602271375,0.7499557664285785,0.7762314801916563,0.7069667903791662,0.7711785937046911,0.8473935427569751,0.805715724388797,0.8728016903227612,0.9075866326246939,0.9513004437556426,0.9132065462083699,1.0237298063124973,1.0729558873163527,1.0322428987099548,1.1852972096064112,1.239039546793065,1.2267328426258435,1.3418330098605102,1.286006479402726,1.101589310269574,1.1622018870062958,1.1585627709030133,1.84407064432724,1.264631399254127,1.318826357306241,1.1125594394838454,1.0611237529588067,1.0722560982903717,1.0626593627060763,1.0160734442995283,0.8846029915532102,1.0080919135997872,0.9506842913452509,1.0580043120519644,0.8513974952902157,1.1034512495745126,0.9759325451784748,1.0013922104841664,1.0277650176689488,0.8018081916398576,0.8108520962812887,0.87704522969264,1.0121835147208804,1.1280763511647873,1.3781501953102286,1.28419080409759,1.1233042188257132,1.1078354186032897,1.250612385032028,1.1463752867196424,0.9893161742358278,1.1803381860699445,1.1942232282476972,1.0156029087761194,1.1501304184291132,1.3386749298908294,1.1929618883455761,1.1539889837628614,1.2751336357339973,1.1529621359210611,1.1404617859297856,1.0477983258619152,1.0637210738258553,1.1034052188525476,0.9741774125116468,0.9849075115099323,1.00746875493586,1.0137763268273239,0.9050926381586712,0.950339676886001,1.140165989906333,1.0842375436508662,1.0054883106703776,1.0801130310304057,1.3962936971190532,1.2790628358314502,1.2805774243362547,1.3876037937979422,1.5324319461805742,1.6553890948528818,1.3329759383925304,1.1608274455521277,1.0754854466383392,1.3127327098610624,1.207292692133699,1.267975426288198,1.1770485010158585,0.9806437511139908,0.8119217708847175,0.6671643132753282,0.6324465348537744,0.6919958924000258,0.752369983930368,0.9352433989767001,1.548306706097227,0.7338709830528516,0.8901086032846219,0.9539628089199353,0.9479334543638138,0.785854903936771,1.0380123178826193,1.226229052794603,2.126140158446145,3.3703137838691895,3.661151508013403],[0.7144838999301774,0.5344450098883758,0.672502111797066,0.5361864348340427,0.5698204125580572,0.6116444680766878,0.487804259847344,0.612298173341171,0.5430763108525467,0.6037845407624672,0.6789098281707122,0.7532329080198836,0.7032227317344067,0.6954974138357707,0.8847050193558887,0.8506208686368868,0.7935193479352017,0.9044031771531508,1.0083218843222992,0.9645257983526346,1.130797949806852,1.0537777902658607,1.1562140808512176,1.4301105231707916,0.9975081413095299,1.042722320276872,0.9076179261893734,0.7808138589826247,0.8226687608586103,0.83095488206894,0.9755900240645532,0.8851936008129487,1.0899473861507032,1.0849398068767888,0.9924721805999871,0.9184945262996774,0.8637237512354342,0.8285119060734348,0.7867754897500716,0.8133309904426872,0.9607730337383016,0.9712995081064786,1.0152953608761741,1.074265105051964,1.4539535547951747,2.386741752550892,2.2399056612614996,1.219991250444047,2.7432317516687923,3.0538056115286225,1.704909685189104,1.509072455788477,1.33984674740689,1.2856690372293218,1.429109520358722,0.9800594127420703,0.9197461059078935,1.0139636749489231,1.2325440101876524,1.143455644925283,1.0778117677138406,1.1562662575732912,1.1591039386718907,1.3390979238876186,1.1140371351985834,1.0207870409096929,1.1529524200374233,1.065744396030725,1.297127827559438,1.0581072217500334,1.3099102583674622,1.666306730458441,1.3482515182916603,1.3680981136605084,1.1496148895275924,1.511268564543676,1.0953936118199084,1.1724414283353168,1.0466962118484022,1.032613290092139,0.9860353154060492,0.8927510098915751,1.50845360415419,1.047805374434313,0.8475222658397946,0.8154613460222336,0.8686806989326129,0.9728456180522668,0.9609425597626929,1.0877826344467283,1.0605879122610822,1.2521961920808484,1.1376429297339028,1.1011825815048202,0.990388514613946,1.0630235609732683,1.039691465686811,0.9643417175747593,0.9259299329274326,1.1688866282822339,0.9305969268597617,1.018898823551151,0.9058210663961371,0.8830983454905598,0.8554811260028875,0.7282505000369365,0.914610263813422,0.620412241987688,0.6087279795058701,0.8347647883882431,0.5892916997381521,0.5543947183053853,0.5403789137912095,0.5698799398099302,0.6195194117861393,0.616484202890549,0.7338964008772442,0.7465057776765551,0.9505607634528948,0.8477380470657588,0.7972568292026101,0.7537327428324152,0.7397489645284405,0.5976194358830932,0.5398420955288368,0.5434014151186968,0.5154338404639561,0.5349947938062304,0.5152755955518687,0.5809059967674854,0.5417898249854872,0.6094937382637972,0.5678984060163057,0.6783121265666485,0.6253955650732261,0.6001232942371315,0.7533905476586389,0.5998316822497354,0.6354233504971886,0.62746730078871,0.8501977378632859,0.8846592760662009,0.8206890563125127,0.7034878056210593,0.704819219337888,0.7304793722032239,0.6591940670897112,0.6975289605517876,0.6523187852486957,0.61856869790782,0.7266591860129016,0.7846290983808809,1.3155640543845057,2.1483519606285983,1.331903502221569,1.079080795574523,0.8355733976552541,0.8445148731492743,0.7953171505086792,0.7527390271993929,0.6550866410585616,0.7198558031460627,0.6602745031041714,0.6769843941814772,0.6811645436913476,0.7402313957974009,0.6176170731973539,0.7111357927705059,0.7758372340759728,0.7637680224455343,0.6120122268048946,0.5946595318387606,0.6219494468009846,0.6676011976087739,0.7049391468542495,0.7897221154356832,0.8188968996922745,1.0486018068834355,0.8330013235407622,0.8801450267739857,0.7426014772953189,0.6862659706414693,0.6771910799393978,0.6737995649313117,1.3506666927177648,1.6706427366220575,1.8180178927314148,1.8847086419703762,2.3582094934039577,1.2873133853218537,1.8189084136678002,1.8148504629448985,0.7610066682399367,0.9011884454652245,0.770536383660111,0.6305125928106553,0.6736431703647741,0.5623326114592743,0.5551285911287379,0.5980290840964506,0.5817295170305476,0.6502482613934726,0.5567768075137702,0.5837699583042764,0.6803197208250139,0.6467207229956125,0.6857611987327425,0.7127539059782276,0.7885896942053364,0.7313286947472891,0.833540697331899,0.8953832417022791,0.8702356233693835,1.0184581092288651,1.0541578584968618,1.0159946781812148,1.177849858741072,1.0444455436673359,0.8847020476674433,0.9464726525106304,0.932229183522179,1.6758180989900564,1.0780306813619613,1.170650168798566,1.00220341424634,0.9375937892212839,0.9428961270576234,0.9554626293087258,0.8352690869922912,0.7094778786272199,0.9163299086778771,0.7869179211563369,0.867665295197516,0.6775058416283488,1.0246289614085884,0.812520954132433,0.8459108108015644,0.9256097007428743,0.6115839766720957,0.6942217055606784,0.7642381849585232,0.9080213203892455,1.0896009912226494,1.332762288513287,1.262603239387285,1.0632257918153938,1.005418108800613,1.174842663449126,1.0717937748280035,0.8638365528970232,1.0725348180347283,1.0924510699039087,0.8941418002691739,1.0084240367451953,1.2098656851969418,1.071464371514654,1.0020672565846307,1.1210618879107814,0.9937475042380997,0.9714360631790615,0.8862990995609039,0.8858072961570024,0.9105086382107644,0.7921133442266636,0.8017534612449806,0.8050183956984984,0.8098035299675502,0.7006298109528236,0.7378756519483826,0.903317086984891,0.8645183806427488,0.8029034398780546,0.8531529112800055,1.2194787890948962,1.0797379381458507,1.056145164646369,1.1674318542856528,1.3245387751751794,1.469039117259542,1.109390792839928,0.9427880267184046,0.8579328704524074,1.0922219842967336,1.0021192322073895,1.0613385340845645,0.9915665456818636,0.8114922341624177,0.6381928971205283,0.5290290465543499,0.5153650884266143,0.5488485142697995,0.6191999112423187,0.8143888100806665,1.4861629280616944,0.6282562549419218,0.7480461192366229,0.8287479574266354,0.9020236330299164,0.6526427426521251,0.9270962486512848,1.2383916069459964,2.265144276287198,3.6068173789051254,3.887700201163616],[0.7693089635452398,0.6325530947037135,0.8099357775943936,0.5463634026980642,0.5804742065692601,0.6296072500030816,0.5030801185713524,0.6919618862162995,0.5892551717533487,0.6411327238355232,0.7485975031945892,0.8673824453569642,0.7837286726826233,0.7478465632876635,1.000545666288338,0.9878610672757426,0.8678932925318089,1.025389714300473,1.0848141458343887,1.0676447848922317,1.2262689414791679,1.1592697370884935,1.2584732948843085,1.3738342316814176,1.0149165319878013,1.0502001363325353,0.939416634705782,0.8497737723780642,0.9356262862172837,0.9776081737997236,1.1502457266301742,1.071478425094171,1.304038848921459,1.3363013495660907,1.1996397683093685,1.1064372215773832,1.0387286570630094,0.952198727468685,0.8923719561768336,0.9333902841891838,1.0151871590229509,1.0383580622152528,1.0990723258134603,1.0970397740596762,1.4304118875593506,2.3515062662666786,2.1751250637393316,1.2380656576819085,2.7511690220780562,3.0814710283167783,1.7596530118997211,1.515029568990468,1.4578666650658767,1.3200901078189509,1.612884865719144,1.1585002559206317,1.0232709070072314,1.1592308963972275,1.423912076484696,1.2512606304049678,1.2287906126647716,1.3376886739523903,1.3626077613355327,1.4467474545135244,1.2356763833641489,1.1652187025103091,1.3155425753526184,1.2454594097538805,1.3917944027782068,1.1968920904300326,1.425454704268244,1.7914709992061855,1.4991982123167515,1.529993182880653,1.340645371238433,1.7163149623958616,1.3101823458405133,1.423096812189498,1.292145322176743,1.249849813642955,1.1812828841381842,1.092620880188151,1.6557277987594752,1.269017509272196,0.961440534164016,0.9897538495745949,1.0298398106102578,1.175503169214428,1.1515088691989275,1.3279369092703135,1.309142848177399,1.460344631276918,1.3909324821791946,1.349416743701299,1.2035145055987353,1.2949378873493804,1.1936302028754,1.1603233793602097,1.1119154178546768,1.3081275972184907,1.128599640499796,1.2098932482715516,1.0908686384869684,1.0778726837616375,1.0582060462786642,0.8920694124155959,1.132595949081813,0.7591396582148162,0.7308209568310806,0.9634070017864298,0.6877082474563744,0.6564545658799288,0.60377782784231,0.6202993643370444,0.6593383535280596,0.6144917053565548,0.7565653394472486,0.7127411693996573,0.9840807421871923,0.9225508635928332,0.8387904594936199,0.7699834478373214,0.6687377452833716,0.5524456774091514,0.5521616781393642,0.5501582402738397,0.5700834713904845,0.5715346389094973,0.5957234780589153,0.702743883116829,0.6186530190802264,0.7345524721161012,0.6694983539355631,0.8162825400649116,0.7226319390736251,0.6704877122206118,0.7929983566733608,0.5983993305444085,0.6231793538849514,0.5985963349491111,0.7742443822800706,0.7996324882836927,0.8064254404885148,0.693660182915462,0.7464054549977125,0.7847237721474222,0.7137366285962375,0.7742475084657672,0.758920345151361,0.7215083841828818,0.8349343016726369,0.8843401105599767,1.4498284292587125,2.1701927109855994,1.3682397799856412,1.2110949644231912,0.9656645401094655,0.9873326161713254,0.939158374420891,0.8762228027476949,0.7530474517241699,0.8060286704830412,0.7137102134883767,0.7558331139846395,0.754505657188323,0.7111778723418134,0.6423387067369082,0.7066143638829003,0.7953905553499332,0.7889136260085131,0.6459407313038019,0.6096994758688629,0.7164009233436814,0.7741967827442244,0.8412198281394152,0.96017500684703,0.9822437558195253,1.224001018487828,0.9953964851502181,1.0586404242835767,0.8880122954102865,0.8330280013172083,0.8106016454362305,0.7968490291276367,1.3628748929752543,1.6574622523473588,1.8057392939281556,1.8509283841834419,2.367523376706582,1.2943507428777745,1.877142227895928,1.9533726247559637,0.8167759751686272,0.9991258261522653,0.7907936340014747,0.6874793170976342,0.7213919271633635,0.6518371551675533,0.6489919338599945,0.696626571101041,0.7513223954898137,0.8197631078434213,0.6904439016792296,0.7416975040461687,0.8683911602003751,0.8170874138019557,0.8297728818589987,0.915985724445976,1.0095083323148482,0.9322103538174317,1.0603821900244088,1.1560060954692954,1.1135348526044455,1.276798356587519,1.3412404501226611,1.2650319421632457,1.4493320741002709,1.2914916885501928,1.13041904908329,1.2195335529941096,1.2083322210334546,1.8934158206133893,1.3478405015191774,1.3924663000325088,1.2187005992388875,1.1842725018700044,1.1569291681856206,1.1683908241525793,1.0600664009206955,0.950563014656514,1.1551778030044941,1.0014156769979448,1.0221650501731199,0.8772011708028176,1.1694347393486162,0.8994059640228742,0.9487349565994603,0.9116959970012403,0.7681579812329535,0.8328118946451095,0.9757449716115787,1.119439509602473,1.2529514278330058,1.4623847105450483,1.4001760082945809,1.23655045242929,1.2197295975674036,1.3750184335640445,1.2274840752489415,1.0457052897136427,1.2599676064678966,1.259722907448145,1.0680482746800881,1.2243929852277946,1.4101479417163334,1.260732054193664,1.2448327075301913,1.3631493793510794,1.2414900474755948,1.2222008791859749,1.110596805901736,1.1313757112194154,1.1710977753124494,1.0215969085106178,1.0280473965039458,1.0487596647331086,1.047337369914271,0.9035138615886211,0.9598398369280623,1.1263321764184715,1.0355477533205473,0.9366364804369934,1.0471040062814791,1.2841640010862696,1.1792478649668652,1.1695624226233,1.2665885514558337,1.4036501826233676,1.582528927805906,1.2470600373215546,1.1008104986275447,1.0191769039006418,1.2207849965009003,1.095871827784897,1.1334679064330422,1.0557544785005455,0.8850329118837592,0.6855132789288897,0.5959784437083542,0.5801079045227001,0.632956640560013,0.7485224659297866,0.9408151137036086,1.4614595535577497,0.7159585134392636,0.8756494517526279,0.9327923660826408,0.9416797085518424,0.7613641173679527,1.1005189470280405,1.325624267739517,2.1962820147917514,3.4908575378720235,3.97248988180125],[0.7817410520688923,0.6523120941757744,0.8167396916042416,0.6157645626896902,0.5927117745490327,0.6204549461789204,0.4629702090155155,0.629771524931152,0.4744709744120966,0.47212339281822974,0.5233396582580248,0.6723333293202629,0.5712069994157875,0.4888622720615797,0.7206713358423831,0.702396126708248,0.6193865937173144,0.6956710519141752,0.7526093583890001,0.732416248335089,0.8394765965855777,0.7986033680866486,0.8903778602958138,1.043262307863332,0.7193967753383415,0.7429657328293131,0.6526737630355165,0.5836573508542813,0.6428353007749137,0.7061977327520964,0.8242374837097302,0.819815434483668,1.0132529743179746,0.9975371615873213,0.8924361879575639,0.7758761152961837,0.765878379372666,0.6610013631982092,0.6187714654271413,0.6968910356724838,0.7662613460936026,0.7177950821695375,0.7539085612173909,0.8683453775852704,1.1804165141478875,2.324249376001165,2.178522323180334,1.1357657816260476,2.856094196444467,3.2923876823374982,1.7842975311561005,1.4976612581683342,1.3356671793250912,1.204246573157264,1.470293304833143,0.903605360461756,0.7300678521433299,0.9006749795968103,1.1778467838190867,0.9020019252739846,0.872573833351314,0.969030116158322,0.9786282841280962,1.1400897950314792,0.8809388866378431,0.8156866365219774,0.9727098861531068,0.8733592416366364,1.0658013680860352,0.8576379947927621,1.1093148808740985,1.5097219933576294,1.234892251312604,1.2187909415719145,0.9851925038767876,1.3622669528673974,0.9317489719635479,1.0342455594681037,0.9228670482465802,0.900721236628858,0.8733814176427861,0.8134157461577686,1.5412555966322663,1.0865312465953325,0.7171365964856985,0.7497411123134463,0.7306718199820941,0.8825652863196375,0.8113692337166097,0.9792848383299623,0.9303635942050976,1.0871585276438698,0.9932148814884114,0.9861083451183691,0.8715854051205295,0.9517091899133227,0.8946011181541242,0.8906465652622203,0.8875185132799638,1.1857858008061322,0.9383979482577979,1.10045992982125,0.9396477537742909,0.9630480675402732,0.9319708249260362,0.8130560038281494,1.0252264357867242,0.7191658677362467,0.7184984963507872,0.9308934185743158,0.6438803084007988,0.5792113395184325,0.5132701068991802,0.5341297050669098,0.5082472954030753,0.4693335102798507,0.5687347366889198,0.5415619922714635,0.7388852748479181,0.6691004715169219,0.6031412618299401,0.5623415508361385,0.5445944595752661,0.4353123074015457,0.4479721191236664,0.4844566172466184,0.5323626959335725,0.5454207980630272,0.5790855387516071,0.6598609349524067,0.6248372067836541,0.7165538406135704,0.6463840862292597,0.7572929586810035,0.6955202475177431,0.6304515359504398,0.8293618542300647,0.5763160903150715,0.5719473091847664,0.5109528213750851,0.707027294502609,0.666499665131209,0.6061939372483469,0.5247570017577327,0.5303513113791845,0.5634907957567483,0.5174650311392092,0.5981180461965729,0.6229522307876235,0.6001831425798063,0.7566884601833671,0.805238919110148,1.396339933718336,2.0788282007437715,1.285817299677977,1.1025188812049744,0.8138946532482191,0.8658664548759659,0.7481022371686313,0.7680685451988428,0.6310886050016417,0.6262146955245949,0.5434849752202356,0.572779756335876,0.6169495487892077,0.5831447101979204,0.6082452383402945,0.7485639327232358,0.8349626879678385,0.8252556465172552,0.6399390057173561,0.5492689053263848,0.5989404201083346,0.6425634828655142,0.6919866352934277,0.8117021923953289,0.7929016966472971,1.0768103008524708,0.8215848584096301,0.8766924028200018,0.7457391910711852,0.7245541262554844,0.7062430288279932,0.7106716672565406,1.2917425710954626,1.508454455341763,1.6510607662959282,1.6934460285721398,2.2195622311437737,1.160722044088207,1.8447494397205695,2.006047763755825,0.8194475960225086,0.9756016685374291,0.7739006836673044,0.6772238287897104,0.7110327741084636,0.6728641961913439,0.6717573862971364,0.7109905324720898,0.7563139960394724,0.8209386831677885,0.704264093320549,0.7590799408501884,0.8598826481412983,0.8123951987362883,0.8408954446663559,0.9074489182241041,0.9714437468580936,0.9053943617093827,1.0226960952513235,1.0826692947809569,1.03815163360836,1.2129952449411194,1.255892268533768,1.2087759737557378,1.3469251724163809,1.23546043992116,1.0849423750461655,1.1363989780581563,1.1401901982575924,1.7981442749034762,1.2561406349821498,1.3375568705508203,1.1727859130077256,1.1346780880886398,1.1302093364481334,1.1304756187658882,1.0351277604180238,0.9418969808895874,1.1466564783736517,0.9871655177399851,1.0353939298199297,0.913339346794883,1.2054785264260968,0.955613474751152,0.9545209219040994,0.948391773553063,0.7710388477381417,0.8065095338326308,0.9380755539547598,1.1019666383643307,1.2380401945088035,1.460617353691908,1.3921364589481078,1.237617256917686,1.1956868257078879,1.3381936125860874,1.2280373624265348,1.0341155151069734,1.2300820553728558,1.2379592140818203,1.048236680906786,1.1804361227810902,1.3608572077705279,1.2021732763384678,1.1613614794964415,1.267274014005958,1.1582082094880874,1.1605299436498295,1.0888757535182212,1.097747161705347,1.1095548188730444,0.9842966622561173,1.016947113813447,1.0125788201021066,1.0091030885490202,0.8984281321563494,0.9462564297755679,1.0911999722618677,1.0364437241870579,0.9593086803765122,1.0324616406938993,1.3095322555798614,1.1949308456343135,1.2012924244311773,1.3084284805163495,1.4217114517500822,1.619592641584374,1.2660741978970622,1.097060007097761,1.0335936261072403,1.2507639452989514,1.1340342147476956,1.1780670268290636,1.1064529049677447,0.9050656343849672,0.7469908151772566,0.6302028905839825,0.5897027623083253,0.6660487713987936,0.743029670967688,0.9261009456289321,1.469929957168116,0.7015398798155505,0.8565394735733415,0.894762813155062,0.9604732470370589,0.7579801336404345,1.0381928545684627,1.2143041642776622,2.098744996940269,3.3866426306173962,3.753377502690021],[0.7792318765206535,0.5658368277530967,0.7305097535564904,0.5425485322334033,0.564449915436947,0.6149455265043656,0.4478715659898242,0.6077578234167991,0.4777271421673108,0.48255361741119746,0.5406549020143145,0.661412969048541,0.5833821723965781,0.5111597634352406,0.7235203509205286,0.6941705070535983,0.6271063155660602,0.7005360767760466,0.7654017619474871,0.7504846030417902,0.8651793563003423,0.8261390083682653,0.8771945289482326,1.1020509739815165,0.7578572773993003,0.7861673070953127,0.6879923315497399,0.5980461853023035,0.6571746795041761,0.6985336222764426,0.8155034213605907,0.7845831484079657,0.9656436677502284,0.9475596712770542,0.8524363079424998,0.7550149094411738,0.745814889535231,0.6640076610745234,0.6216829228808034,0.6969882005175863,0.7889376661118054,0.7335392829287561,0.7831971444351242,0.8860007147970207,1.236655451906937,2.3213135470118185,2.188794176752261,1.1163034318302305,2.793947504878073,3.2075611640613317,1.7064931436133643,1.4900199284642381,1.3301789080626847,1.2372421678717558,1.4346353991653853,0.8744983232884862,0.7481507593842924,0.8818276112470378,1.113750811672211,0.9454546269855579,0.8707479067481547,0.9446811242151766,0.9668195955548426,1.1137026908145002,0.8751149854242365,0.8262340833279066,0.9792391706272544,0.8639832935866827,1.091702885858534,0.8686473027401572,1.1134216036299875,1.473762608452068,1.2270839004998135,1.1887437374085208,0.9883194425486483,1.317659974244603,0.9180401141674848,0.9955520331585032,0.8802977366724456,0.8596555737659946,0.845660576251885,0.7849691527881493,1.5169758788603356,1.0307396548719534,0.6968329348069434,0.7127686915868173,0.722087353384482,0.8422312331588101,0.7851017591916003,0.9322046838174565,0.897349609378698,1.072081542511186,0.9519960992684535,0.9478772650633828,0.851265565945135,0.925882353277012,0.8772454496639377,0.8696466653377302,0.8535856302607272,1.1536884745276295,0.8926539305158459,1.0350018497585138,0.8767251304085623,0.8875471137318273,0.8539875839077491,0.7522117934356111,0.9705577567428735,0.6502100599179984,0.6398120419988446,0.8668040215972879,0.6043404350456509,0.5420166037772549,0.49200030418798096,0.5060421875727557,0.5276119215292828,0.4691126522911014,0.5796057165185353,0.5605153026986471,0.7601424798083887,0.6668573159978214,0.6022149050729643,0.5818546957814463,0.5661977006829835,0.44031934958873464,0.4304127337297894,0.4587886643436566,0.4913148848788179,0.48647935879141524,0.5011552842385699,0.5985855805481484,0.537059728126101,0.6196280048564882,0.5634626228580455,0.6689108321763853,0.6065073565926493,0.5600862961543295,0.7359021170337622,0.5360332356799259,0.5703972802770726,0.5152182812691244,0.7163245810443536,0.6800013394243161,0.6243882743746525,0.5313644099920845,0.5456236086184595,0.5948359635217704,0.5336911530201396,0.6127822621297184,0.6001647761341034,0.5791504554120025,0.7134525980598538,0.7862927818823581,1.3417092299394935,2.112256143178209,1.3280973331713184,1.0872157745864675,0.8047110133454105,0.8335342913185197,0.7465698217047061,0.7486963122194848,0.6033361362086967,0.6220958435081432,0.5419250567845573,0.5590229037827683,0.5958132836712619,0.6228468312490126,0.5552260237035982,0.6875161788426593,0.7605603867357525,0.7477383106262212,0.5654416759692136,0.5162409103701286,0.5643931452939229,0.6112605162140496,0.6547069794923611,0.7625498956397382,0.7623801570421175,1.0355468160379713,0.7873536187380883,0.825396832506022,0.7125532227013462,0.6747401780212215,0.6578626539193588,0.660940357233197,1.3366455200767788,1.5747225132661118,1.7253722113832652,1.7132803844899038,2.2254478145145433,1.137244387490367,1.7719294682700664,1.896420944067799,0.7446375856622638,0.9031603016138039,0.7465821666799838,0.6336079348036636,0.656406561850464,0.5796864705439134,0.582590813504612,0.6249515870551585,0.6181284398638826,0.6756811135978144,0.5909964749186026,0.6164242754347503,0.7060185832152787,0.6704134790095673,0.7179102211280273,0.7392885077106035,0.7975999368094016,0.7552935082752287,0.852339951026952,0.8936585271990561,0.8685131883070086,1.0519270876774314,1.0583613710994537,1.0536991775466555,1.1799075587566248,1.0917866410367083,0.9000004414378767,0.9407388922328388,0.9353120350685632,1.6731543652559586,1.0757307070965991,1.1585418625521293,0.9955914792728711,0.9387931462934922,0.9666017724885428,0.9637619313705158,0.8598595314410314,0.7468668921628396,0.9596900341948771,0.8302795308253014,0.9246574005310451,0.731103391950879,1.0068595024572267,0.8610082282373519,0.8913415337859969,0.9487669506519029,0.6630524529678969,0.7197859211477606,0.8016640238849176,0.9459909474548753,1.0954944009369367,1.3453665532382715,1.2811222282338433,1.077999287591761,1.0167579644817206,1.2096603944743214,1.1124920958914981,0.8789407514758428,1.0931923340944552,1.1216114453733588,0.904139511079071,1.0092761912612296,1.2050565145270367,1.0667005546719432,0.9778324760796423,1.0935653861161778,0.9758717893210158,0.9634830320212536,0.8950373940683176,0.8956394934639165,0.9141958177001174,0.8048111900193907,0.8262608530024826,0.8232710954402732,0.828032955261329,0.7344105631781624,0.763064139327374,0.9256161637141318,0.8853344128816832,0.8409852210984737,0.8748425216942509,1.248420712923131,1.1062649756082257,1.1050033502821655,1.2036318520672367,1.3651130260820306,1.4805660649489838,1.1701408710351788,0.9977438660144484,0.9171018305269442,1.175940872577859,1.0637434848557583,1.1167171343057336,1.0262507926886637,0.8422751724416365,0.6695244011257804,0.5556243401563317,0.5230639553389935,0.5723119980233833,0.6566237418180957,0.844221510595171,1.512219854261178,0.6583045638709307,0.7762486587097046,0.8462415470072074,0.9530174752349645,0.6702715681594175,0.9409247310846521,1.1890009860614978,2.1888231703673267,3.5542630249959095,3.773168345515486],[0.7901419671169497,0.5739197660360067,0.7652839579979562,0.5891951478102055,0.6071490452354911,0.656439249142286,0.5321854593223195,0.6621424310474838,0.5884206857867377,0.6475343528740787,0.7234832335711129,0.797080094580991,0.7593012369594826,0.7172120506031577,0.946013021299915,0.8966147922720346,0.825251841694728,0.9031841982979915,0.9479049072373895,0.9506160975666708,1.0406223040359333,1.0204621234710025,1.0676408142215292,1.1957130405462517,0.9194935698344873,0.9313432770895449,0.8635636550578216,0.7817232835443814,0.8541072072621477,0.8915586172604736,1.010189735201126,0.9622790324603686,1.1213922883970673,1.1197465693382063,1.041777022209388,0.9590060357863561,0.9301975395812506,0.8535907646534407,0.8049103186711092,0.8525602782431877,0.9210492595531583,0.943358311349429,0.9833024892069261,1.056595770650374,1.297869136939911,2.3322759055496376,2.153342653383154,1.2181980285884384,2.8172071212818754,3.2537879145241204,1.799306747972692,1.4956075782787657,1.4354645476892829,1.2835509839183887,1.5777522504053922,1.0659690715431434,0.9481835948709391,1.0757564877474213,1.3443341657621215,1.0967815802189385,1.0789217387167682,1.1291336939018497,1.1400209346013206,1.2996185254971577,1.088164254483615,1.0235309407692164,1.1638553267095073,1.0726445161853548,1.2265671141336956,1.0446321836434567,1.288693741754461,1.6143169732530618,1.3741381003040078,1.3485122651147503,1.1385285610794342,1.4695169872885885,1.1013744310070004,1.1798390903346414,1.0775504952091401,1.0715667205063006,1.0159177168926259,0.9598638679599321,1.613401375879742,1.1825349564215608,0.8626858135359701,0.8945140193294434,0.9082294594840555,1.0175446976247526,0.9814334467555874,1.1052017422497775,1.0851757994112845,1.2131379487799145,1.1335545623133525,1.1198752180258045,1.0424218602415203,1.1154565590882322,1.1108621905158689,1.0178529541086148,0.9871004985712523,1.2124166124366993,1.0111075260441302,1.1162218722247235,0.9826494327502674,0.9820497491037026,0.9548897748725798,0.8345489366039999,1.0582347929596312,0.7638825468296849,0.7319214612271557,0.913766156458064,0.6967077023471737,0.6646827642785613,0.6033634103086596,0.6451968179996379,0.7000008895747938,0.6611081441896359,0.7396382698769968,0.7051363399437742,0.9006636105992266,0.8561729883681398,0.7963877784160669,0.7408407190348432,0.6985216751574937,0.6232386762261556,0.5735174146037566,0.5666928845189794,0.6006960639267718,0.6496150431135241,0.631607072680877,0.7186934231164103,0.6637883528181309,0.7363741015711874,0.6942317222696632,0.7925315628858511,0.7453962990747413,0.7017684692939422,0.7958343356367497,0.6580303168831168,0.6677266850994914,0.6556619507707853,0.8086129017548702,0.7885630691894956,0.7647355982324118,0.7226072324003232,0.7176123271076743,0.7374288144241149,0.7050682787327857,0.7500178795777751,0.7365350936568088,0.6848407091239296,0.782602829854624,0.8308227113278754,1.3913406804111546,2.139526896871623,1.3267839208185161,1.1345579942507462,0.8893662959199774,0.9138064228356908,0.8748679698703702,0.8615151704195745,0.7506383047012429,0.7852931348707314,0.7085367816894329,0.7452457687657057,0.7811449811743708,0.7446360684280849,0.6869894857897123,0.7611179388678767,0.8239971437128492,0.8264897620067524,0.6879406860554763,0.6688158929008332,0.7352861062902298,0.7648316910600552,0.8093764870896747,0.9139506137805151,0.9262746147499825,1.1689246609660953,0.948731864674593,0.9906767081052953,0.8670924374137802,0.8127648789635833,0.7961745047038912,0.7992545749854248,1.3115680602313717,1.5403267461873211,1.6689144023210114,1.740743263449534,2.260180395932988,1.227258705112081,1.8902831876842354,2.0242786155587686,0.8757009714083813,1.0219378875600476,0.8729442950880011,0.7649676456711741,0.7641944011573716,0.6895414755808508,0.6577335919073599,0.7027227267619984,0.7047713412755947,0.759650646831381,0.6741570928281854,0.6935708860857286,0.7819150167159186,0.743014110406496,0.7822419010650424,0.8063292452776054,0.8839099452084358,0.8419139017644962,0.9301016870338884,0.9926663800592618,0.9788184472326943,1.1621492174214034,1.1486768496047202,1.117808175593788,1.2513845635200092,1.1234891624476717,0.9601255536049971,0.9984469618806818,0.9827098463622537,1.7898538655048482,1.155332937174807,1.2104259485899982,1.0790526884853613,1.0758923174883048,1.089335274981216,1.1237632220824152,0.9740582087728658,0.8491040334004161,1.0715136055148102,0.9379036833276394,0.9568702097033873,0.7967279833015009,1.1040927711972843,0.853871407350429,0.9127012453430584,0.965287719225838,0.7134473564497198,0.8488049780700105,0.9244873315109857,1.0516755818568113,1.2148663074917119,1.4265982462837108,1.386904947956482,1.1691696643825285,1.1130684813282916,1.29066739200554,1.1745456007931552,0.9489951615436383,1.1510136972992338,1.1551932768843487,0.9700897857491737,1.0707223927779792,1.240668722796356,1.1125517178478705,1.0729061550545589,1.1782637241008416,1.0659322246059375,1.0507751122081952,0.9696882563299427,0.9831672738656871,0.9998381641875944,0.8830354538666112,0.8925262675231781,0.8925173555327442,0.8848398707422841,0.791589103766265,0.8256741015560721,0.9557454701333602,0.9177698099775101,0.8634119074602628,0.9048729304407256,1.2169153289947763,1.1009605053860112,1.092903736060377,1.1782989093809235,1.3340353360926853,1.454809456553483,1.1719623383328905,1.0131188840168428,0.9687871294169585,1.2055510102488762,1.0649557650665098,1.0832010926701423,1.0113653138078627,0.8600903728196532,0.7142648708947575,0.6273182760899696,0.6050728529957167,0.6591304568478223,0.7458283160491067,0.9475787437272809,1.5662040607628749,0.7236036544286352,0.8805597945997491,0.9716285305683215,0.9359443285957474,0.7881396667495246,1.0835006216713856,1.389219773844798,2.3524077178256038,3.7299994120578455,4.194423125378365],[0.7237727904861662,0.47615727876939967,0.6327087333254656,0.48812110513382767,0.47157576015374714,0.53139309835567,0.360813731177433,0.48670737576909007,0.4046724951637513,0.47251940031082873,0.5451264072530718,0.6192581329053573,0.5757414810292779,0.5623534717690873,0.7853281532384551,0.7277710945544765,0.6812979818800482,0.7740783490643358,0.8398595259147223,0.8213689681644251,0.9269358219747803,0.8834668070937324,0.9798769246509031,1.120283324734773,0.8110689194916028,0.8394810224531283,0.7544162545677902,0.6559744769363649,0.7048369004442345,0.713870018960259,0.8358119193385485,0.7697793462330285,0.9367311428429969,0.9294142726754407,0.8490261039218844,0.7829935991525139,0.7278627187014142,0.6940002202119452,0.6517792491971368,0.7078878195978925,0.8002512747364888,0.8096099318804217,0.83024008643016,0.9449537102104959,1.222330771003292,2.3158152048060807,2.128596982655704,1.1532398583722552,2.818693081876376,3.2081974889241076,1.7851887014225818,1.4594986664901304,1.3455890639240453,1.2280270980987353,1.435620226792178,0.9127148251769186,0.796859300035694,0.9154464885437874,1.1529532531476268,0.941281337014187,0.9162627988855669,0.9791486796541313,0.9819662158319762,1.1577282832105336,0.9395831890679697,0.8677699028102678,1.0387016340233346,0.9341926668606988,1.1277143577390292,0.9197191711423295,1.2056584309012177,1.5565759445888416,1.2582224524657544,1.2217088817898059,0.9936836283745237,1.3158988647278356,0.93726230187849,0.9977819793051512,0.8886797643142527,0.8832133497234754,0.8307501999559674,0.7817387102058666,1.5103069972081489,0.9850973625238735,0.6998114209671562,0.7056867301841674,0.7283465404424323,0.8193200142190906,0.8076504554241228,0.9353884682175349,0.9081165893654602,1.0505962227495818,0.9541192980806334,0.935071769446215,0.8638108051306923,0.9387435357820071,0.9223613400102058,0.8431926893273761,0.8215175368679609,1.0661696796050006,0.8123287697600029,0.9161121005584664,0.7929299881309912,0.7823939584810872,0.7525905297560599,0.6437668971070062,0.8142685455320313,0.538189372589869,0.5151303272723069,0.7375009806479308,0.4823405641496833,0.4619591318018308,0.4178060404143757,0.4866354325532484,0.5367258425890555,0.5221581983361312,0.6176983532233655,0.5964023410408769,0.7950090612792295,0.7252367649444396,0.6816380780841685,0.6253598838931939,0.5939064344296348,0.4798973903710222,0.43933324028084514,0.44456908552458474,0.4434951449734389,0.4556323871836128,0.4305678581514045,0.5245232960336509,0.46472699817442725,0.5254187304405153,0.5078339746787588,0.6208328398102676,0.5760151379985043,0.5498675934772671,0.728335197002745,0.5282904087140029,0.5370196393977192,0.5101765123914452,0.7084814936934487,0.7128144822830984,0.663990749830308,0.5913992192017322,0.5792855771561902,0.6020087081930499,0.553936029152832,0.595940435677107,0.5639986139065103,0.522162071130681,0.6038837558318435,0.6775890965462986,1.2030242971143161,2.1358027081284052,1.2533326218048124,0.9648368321481384,0.7198658474754972,0.7324955103384921,0.6822130195688315,0.6868320248386814,0.573085709619067,0.6078258052849235,0.557790209559755,0.5894517050250334,0.6133392111448704,0.6081647095974506,0.5618413981474216,0.6457253482048636,0.7110380775472626,0.7233160007445553,0.5576903737981581,0.5175038602307417,0.5562146193911751,0.5900551748686905,0.6252555670273632,0.7067188196622627,0.7157956841179066,0.9323979392066057,0.7434256282637162,0.7575546678402653,0.6964446574671581,0.6254213002785235,0.612743774009617,0.6270944926369136,1.2097001714484745,1.507578319842755,1.6303740692225623,1.7552812565524352,2.2723145838483103,1.1946674268963697,1.8519538942272926,1.931883201048598,0.7255693675512813,0.9103782174760121,0.7232680486600629,0.5976539510830301,0.645605810942024,0.4933919178698742,0.46037599275558055,0.5130727474509598,0.511887841134336,0.5765139560744035,0.4868361875096546,0.5262993031246189,0.6116566132896024,0.5882160994099819,0.6418065092992281,0.6579407242719473,0.7310818243205621,0.7109166915296093,0.8023679429419941,0.8593152971816979,0.8656111402621035,1.0559564376952773,1.0190311328232506,0.9826961548756586,1.1451579577888815,0.9722491660760193,0.8188360787322685,0.8516052447900488,0.8070413772264468,1.6091225474040511,0.9931487335382198,1.1125812376607216,0.9209495692393039,0.8923273340601193,0.9061831631125853,0.9462670325568402,0.7977492667162999,0.6442619721311048,0.9152765939769777,0.7552843817632183,0.7575086215505523,0.6196176243060055,1.058082952427573,0.6861122451762431,0.7838417741271404,0.8830532463756102,0.5412170736400834,0.6375796584574406,0.7401398667061457,0.8818584241019913,1.0721480365234284,1.2454550572531713,1.2294500595611584,1.0217213673923329,0.9390055639785369,1.1177069288789545,0.9806387359704516,0.7823021587324754,0.9788840815838642,0.9966619972331057,0.8219907562203311,0.9131695938549442,1.0983265578217967,0.9969968789141449,0.9409449991113243,1.0260498238504476,0.9115192362699951,0.8768859562299774,0.8026300673839595,0.8008968017245128,0.8295218773725761,0.7181010561436927,0.731951879843588,0.7147291712728682,0.7304707587701519,0.6280270405372427,0.6554591568713601,0.8143256222803629,0.7840665150981533,0.7194639226441089,0.7607036881704926,1.102871986368062,0.965797262831677,0.9619052903981514,1.041177222704868,1.2449314664907731,1.323980334972693,1.03170884075503,0.8736251271812696,0.8273954808487225,1.0692488527278128,0.9351534589762913,0.9565123425005794,0.9113261655874764,0.7192317379835903,0.5763839332220485,0.43050630776330756,0.44367292103509465,0.4583968852308148,0.5389359785789125,0.7485041403273506,1.504057977543745,0.5327647003228492,0.7032892027897748,0.8183419788725058,0.7833430244353513,0.6636138711035605,0.9983087524800044,1.4814115841940492,2.599811817416236,4.004754235150922,4.4981731520464665],[0.747737253443858,0.5419386858730054,0.6815298368072065,0.5383616967604655,0.5742317757577883,0.6172495508923144,0.5359148135442434,0.700851417680036,0.6169192085827049,0.6905883115336646,0.7793999440407952,0.906820633201734,0.8406621959163603,0.7540753539603204,0.9988399306341708,0.987158454169698,0.8966094710611715,0.9808634006681763,0.9951352242175088,1.0186761772064477,1.1053876111000747,1.0862399393097766,1.063706527518777,1.1599375508984935,0.9594312876351082,0.9919196028386742,0.946919536098719,0.8574841277836276,0.9398622632060749,0.9759996634876603,1.0893294808909106,1.0585588491173374,1.1958769292239082,1.1809737505899571,1.129339889339679,1.047731452632657,1.0228045967332628,0.951012883518102,0.9155416830807543,0.9523771264526835,1.0313220024820287,1.0054720836476982,1.0866606485480883,1.0728527854088268,1.332654785101866,2.272512315350013,2.0329577626934485,1.23500586929393,2.8240684068011497,3.1918320521974106,1.7489365621153963,1.6183069354392305,1.4914521178557305,1.319224261541069,1.586846456465475,1.1318077904626715,0.991613065832982,1.1210966173806192,1.3694763377245758,1.1233016998039642,1.1328815291709542,1.1738244116682175,1.1696591582303746,1.2996371776490698,1.0997155105959322,1.056565865362229,1.1590710764382368,1.1152339452967965,1.2068147272698968,1.072646672112156,1.2835784265330419,1.6580985671221389,1.3779878823536014,1.2932102616104366,1.1578368023438788,1.4483929365886794,1.1306687666458122,1.197849655645843,1.1473783461581564,1.1449911427398032,1.1157418259260694,1.0429183775600186,1.5551309357563674,1.2451197506134832,0.9814829112828349,0.9945612958656599,1.010965919452401,1.1051935984622463,1.0679215280174719,1.1895021309094782,1.128388707343749,1.2492037446716295,1.172507205277201,1.1738847648977542,1.1133619519396976,1.1475357240006927,1.1614213816655394,1.1258214009800467,1.0941802140591548,1.3154877438351782,1.1181836441431892,1.1639880594235874,1.102002437981527,1.0531206887583187,1.0327834600967374,0.8896138386533826,1.0464357034262426,0.7662326938176737,0.7044306570454988,0.9095719853926832,0.6828526015114043,0.6930298137435552,0.6608187840858329,0.697454264940985,0.7242413730585061,0.6618673197296419,0.7735685582058109,0.7038275905261592,0.891383814542386,0.8954803310189756,0.7901053310230847,0.7283611130635097,0.6584994260716629,0.5917441580285716,0.6008471433594814,0.6190288063796049,0.5973310041514917,0.6336016187936603,0.6296374626832687,0.7456905411181155,0.6580967569542954,0.7334702446369791,0.7353709803135816,0.8376859695651807,0.786671799627651,0.7479538552297642,0.817195149685367,0.6616200166922296,0.664418636553828,0.6671239839490736,0.7604597531978273,0.7615343018952587,0.7795836178691878,0.7553490341558332,0.7980589505316683,0.8402036600060462,0.7751675154069704,0.848278422004845,0.8144390624100164,0.759838812694903,0.8342879255783016,0.875637020490891,1.3643454327352154,2.2103476989416064,1.3900752693306484,1.196893001362292,1.0068397156033215,0.998375405047105,0.9839393983252201,0.9252722682328074,0.8177609533647753,0.8699653306369601,0.7923733622748732,0.8353656298476599,0.8619670121481906,0.7897904909642124,0.7477544377494215,0.7474859582871022,0.8092202199193439,0.8142158030814369,0.7134581756055898,0.7019027439059286,0.785456391193886,0.8330824402683191,0.898082757248893,0.986642382413055,1.0039821835777825,1.1923161435992113,1.0213268939585434,1.064677708187455,0.9268257284538336,0.8782290682662728,0.8865843376166003,0.8887879398079367,1.303714346363969,1.6147888607302074,1.7516164949853428,1.8788389275620652,2.4067882838949206,1.3174730364780305,1.9369459887040512,2.062170958948849,0.8712480634052063,1.0615690815459398,0.8575592230184435,0.7704683731215185,0.797952257991715,0.6755294715318263,0.6059657610392869,0.6652254230979717,0.6484873431076857,0.7065268533142015,0.6196839985399454,0.6258342593819821,0.7131304259513032,0.6826678259627744,0.7141923618576871,0.7397838743617675,0.8139189319217405,0.806406005089829,0.8892630711450878,0.9540559151952241,0.9736184415255271,1.2030400525190488,1.1107755576800198,1.0574568675480684,1.2053401187731605,1.0157002107530115,0.8822957798437785,0.9125964127614671,0.8683702161179234,1.6583829905874101,1.0579842771586725,1.2120613402685652,0.9859790230074974,0.9990020892832477,1.0309396966990683,1.1019570810232535,0.9141720868011695,0.7607859323046569,1.0574002627442445,0.8857212836925632,0.8115785412528761,0.7317793830488822,1.187968076553864,0.740766356113587,0.8557892348916777,0.9433806424164712,0.652471762698934,0.8056282043234985,0.8904500119011077,1.0179529590322922,1.1942035992501447,1.3186579480400047,1.3379801343420585,1.132263120077462,1.05336598743568,1.224788461045116,1.0736927522215678,0.8752632068486832,1.0456845794725516,1.0497274693369287,0.8858171540522926,0.9755685780628054,1.1370998239325045,1.0520782257260428,1.0183759736570228,1.085972533913302,0.9726451655230857,0.94737541429189,0.8830637000354263,0.8882713231855103,0.9031054465599491,0.788729892262271,0.8020428832374179,0.7805928799679518,0.785478819081518,0.6984106313108464,0.7233905918844171,0.8391470695944877,0.80564747379776,0.7500843455098908,0.8027497544109413,1.0832980520019404,0.947018892685737,0.9456800099383202,1.0228557850229376,1.2447330338157805,1.2804962016777097,1.0465529729276506,0.914431512844238,0.883573754364199,1.0823905926058033,0.9389876552348914,0.9311162391455555,0.8998554079999709,0.7460342904673449,0.6426055586289784,0.5680342084780575,0.5741343093836271,0.5811149542473917,0.6840052970855129,0.8593055983742549,1.509971712088789,0.6540536448981425,0.7952036939891142,0.917308219396467,0.8576741683108416,0.7492416279402632,1.1041090446957615,1.649941898196857,2.695578939306614,4.123325401806426,4.871302182350071],[0.8017078670123905,0.613770022747113,0.705098757449622,0.6371069323332837,0.6471801232913087,0.708794629784756,0.6012570027425259,0.6402699116849098,0.6062367377788346,0.6433977292276318,0.6821594093947754,0.7212761960785183,0.7010626051500772,0.6914037131854154,0.8584587855190267,0.8028304224287418,0.7712255579145557,0.8507624198673892,0.9090644788944481,0.8938334657792772,0.9927583575020662,0.9420440936974804,0.9907423033851287,1.102837913353033,0.8812975775688405,0.9205596771240059,0.8526562822835925,0.7630004764121913,0.7954727126615756,0.7928211488517045,0.8888744286668767,0.8146579748257691,0.944912327219685,0.9329627221807351,0.8916687442097307,0.8402591464346307,0.7959766943730211,0.7719309576702783,0.7460510338225435,0.7975936870812254,0.86538566130634,0.8721252181791089,0.9229763965804982,0.937811623336403,1.193587558114219,2.155513568576511,1.8904927596403318,1.0901832768541837,2.69128408365492,3.0288833368806705,1.700488397122313,1.436820432432057,1.419416160780354,1.276047413836069,1.5197027191692507,0.9932014363411749,0.8471710413055059,0.9722016844093769,1.197657928256404,0.968952149476533,0.9554387037275093,0.9950701035972197,0.991952775981973,1.1594001622187358,0.9567123943943127,0.9023282719189563,1.0523279365024423,0.9739970464897459,1.140066786780743,0.9864746257653659,1.2535313362905594,1.6270330067972238,1.3194809375619478,1.2220131491168014,1.0237096144180595,1.3051647035103775,0.949952386250859,0.9953822887328603,0.915977081466443,0.9232367121216247,0.8786188112549542,0.8374446682513664,1.5619169609770824,1.0973906158424522,0.77599112891687,0.7909283619609312,0.8058888934071743,0.885385735396007,0.8595108111307762,0.9487802132344938,0.9163813564939445,1.054274952606399,0.96072434253518,0.939065822991586,0.8956923378101811,0.9528729693991854,0.9975350914943362,0.8708175034560441,0.8467928018670017,1.0957887118470981,0.8418248033427829,0.9342538840339926,0.858083051522819,0.8451347169118252,0.8429124188888012,0.7485325625036172,0.8878912939184013,0.6951663291590642,0.6844545571352608,0.846279283126413,0.6512669462913682,0.6431046956305349,0.618985625816563,0.6743267396888886,0.6965797711902608,0.6595650473947418,0.7333863126977099,0.7105879078445562,0.8682917929539824,0.8216964513690165,0.7646451429975372,0.7240247920731117,0.7110682415217631,0.6394264794439388,0.626099451839225,0.6306557370977691,0.6324231837350788,0.6425648656882188,0.6216106319813802,0.6756584276327201,0.6375828013511688,0.671885058629171,0.6818038159874731,0.7509926594382239,0.748120659675967,0.7110247711351853,0.8240970671572275,0.6960539012094266,0.7027127428400466,0.6761841593451189,0.8019580117106624,0.786300228366692,0.7638369313940471,0.7159316100185565,0.7193020103308664,0.7380736457777584,0.6983637269157525,0.7308462459331413,0.7078583450738553,0.6578740275031698,0.7231719670794098,0.7752662061266334,1.1991255689138938,2.1881982778537816,1.3066789771908043,0.9958154745563121,0.7865956806354203,0.8036773000017855,0.7751207563384424,0.7772901143400072,0.722542492331542,0.7399812847292668,0.7125612256151368,0.7288701503928494,0.7637481602761733,0.7549126304856605,0.710605999468293,0.7272387120476688,0.7958634440275055,0.8165820612794369,0.6970827605709795,0.6823024731425095,0.7170119427375345,0.729671192059494,0.7558274037458123,0.8074527348363051,0.8019889868820275,0.9991810994313222,0.8391757162995281,0.8796812258261618,0.7968155902281893,0.7424855242607065,0.7468494128759428,0.7494299165495598,1.1875259888703633,1.5510484358889898,1.654592332270877,1.8180276960498007,2.294435649304079,1.2464059569325816,1.9106599859921907,2.0169135065441814,0.8641118995820833,1.0389673774160184,0.8309701342077762,0.7912490765934088,0.7985326273542468,0.6587325564966238,0.635363790492002,0.6595563953778831,0.6689710309473538,0.7207491667858938,0.6504070726691845,0.6824520963375202,0.7347239679623094,0.7255923092969088,0.7946571428663809,0.7823629903840336,0.8517425822509415,0.8521846476457402,0.9139878074379083,0.9660024493809372,0.9982377773755907,1.1877253629899238,1.0781404388460945,1.0378200392887413,1.1973131059499191,0.9723495474279923,0.8858871697175229,0.9130122206456306,0.8752033616854578,1.6370695090918155,1.0452824107378684,1.2267762421970567,1.0046896108331185,1.0034597728112187,1.0034990400814867,1.0675010487161487,0.8970576136213768,0.7646411280684724,1.0108834885857811,0.8770176262824938,0.8023634953935307,0.7207283769347205,1.1947939864986326,0.751276935000522,0.8726583735673765,0.9873570173858534,0.6863056818611121,0.7803537333618664,0.868464071006766,0.9808410899244527,1.1663366439507665,1.3163336956376186,1.2845573121350058,1.0818824802560585,1.0116402147470447,1.1315997768483972,1.0214758004757427,0.8694487274112339,1.0512034639204215,1.0700754120561593,0.9201454347160164,0.9990510235564579,1.1630049057469412,1.100820105411833,1.0351358628516698,1.0954066957237638,0.9848116193759394,0.956703785949367,0.8922333644651155,0.8876402440811169,0.9107452247621514,0.8257514000372834,0.8160347698684306,0.7973031821340838,0.8183950595777398,0.7360290453168493,0.7514389939252107,0.8490960250359891,0.8352283979501327,0.7880735519544743,0.8288951762368,1.0859672220384702,0.9513863713030458,0.9481645160911046,1.0232887329643954,1.2968972588234053,1.194336529828546,1.0061139685532152,0.9135906994802796,0.8917542693216383,1.0749418593628621,0.9441484452860708,0.9480099468855587,0.9361483011490381,0.7872253044930951,0.6944571161635892,0.6210981126893361,0.6257524646007712,0.6592133303370507,0.7001664900775028,0.8747490590836448,1.5688905773905442,0.6865377373202075,0.8465630718147734,1.0072934600025016,0.8260802196748894,0.8389107435435481,1.1346987673024238,1.8308029081843096,2.963859036398942,4.399993026742193,5.386048495502907],[0.9559097340872026,0.8279189517920507,0.9146369638169775,0.8358801783031178,0.8531717490242573,0.9115455605957177,0.8171039140746092,0.8504330434035038,0.8513010673658238,0.9073527796601386,0.9700767040301448,1.0036883478249572,0.9754481973960554,0.9696748820111011,1.1401578240456596,1.0880470486621303,1.0355427448708143,1.132049703830045,1.1713903108386088,1.1554845798298414,1.2536544673514758,1.2093072800710456,1.1854959249239798,1.2610108842893257,1.1439576215379474,1.1747240796017628,1.1046862582092114,1.0269331856738184,1.071839513439156,1.0645391269064355,1.188485591793897,1.088996301999436,1.1932793011021445,1.2201219436887947,1.1614353337381254,1.1320915125279136,1.0603323239599813,1.0550591978465607,1.0266423861530232,1.0440813573424903,1.1174905963414448,1.1238407793691982,1.2198579563971992,1.1606923428004858,1.4047763172209264,2.281652281766416,1.983975185840602,1.306281095951325,2.802325835584495,3.1328591283805025,1.7968693404742,1.6800763467470505,1.6099723218260709,1.4468609863422452,1.6861282802386839,1.2167374650186067,1.1070846732671136,1.1973472313443605,1.3751718970948603,1.1653132598904394,1.2103755929021087,1.2331106402580372,1.2407691950411135,1.340784280519796,1.2013803096805453,1.1576745131411836,1.290062822206148,1.2476364615968183,1.3262236746676426,1.250510493708226,1.4171398560883652,1.7680852239564493,1.4892567787715079,1.3991264012133127,1.2955747530846702,1.5179191709599955,1.2309142727702544,1.2734981769104787,1.209202695666355,1.215644695213096,1.1543974212052108,1.0867747417307256,1.6373486238487838,1.3259854556542772,1.016618919339208,1.0510949569185664,1.0867752370091588,1.1362960216884523,1.1516378274120929,1.2256020167684996,1.2123254578216165,1.3265183563927214,1.2566837672577755,1.2376341149060064,1.2069433040064852,1.2472087809511183,1.3058271887182904,1.1570647585046874,1.0953677308735021,1.215856009825906,1.0689317735480237,1.0801019183172378,1.0648512452174344,1.023031484233718,1.037650633835526,0.9113413820652019,1.008902536844443,0.8471497343362562,0.8286013412240968,0.9442801960626371,0.817508357744097,0.826270960512581,0.8368293554725675,0.8964876787838926,0.9233282198607146,0.8985960504898867,0.9682297535216844,0.925568359550806,1.0645952486873869,1.070085989715517,0.9962728987276728,0.9490457768705418,0.9111384233391006,0.8550382557050132,0.871737974594174,0.866145358505994,0.8197303094141596,0.8490271770069493,0.8186480062660996,0.8606254525284792,0.8325600985682898,0.8407983037172155,0.8816443810389425,0.9214371842536809,0.9462091764332913,0.9280113524744701,1.0257923574045489,0.8813049091744203,0.9013895930921937,0.8935727737745842,0.9622703868301844,0.9565129285519788,0.9704011645973999,0.9640029391962334,0.9763778604938922,0.9868384346198484,0.9442998737398612,0.9759455723522374,0.9160493836708709,0.8702688111009268,0.8940010094766873,0.9211245402586511,1.2848050948270264,2.193254777962849,1.311926865930388,1.114862597283596,0.9948467372273968,0.9846963330951525,1.0034222927988716,0.9673788141574525,0.9195452773735814,0.9743471061699052,0.9487967355653497,0.9495683771186643,0.9799421546476484,0.9602197610526322,0.9387143541402295,0.9441982970979631,0.9969545159907119,1.0143258065861396,0.9277092911310575,0.8998027098765684,0.9193821361538607,0.9203050708764391,0.9500454128854344,1.0055756237719258,1.0217298587684454,1.188266761072697,1.044165406430928,1.0795162147052284,0.9756486269952926,0.9190128798657299,0.9343090527103682,0.945592228951056,1.2478897562353255,1.6090073027413652,1.7408716874332835,1.8816217198429868,2.402366062145564,1.3635711352176294,2.0017300965036715,2.1575367721721475,1.04207129644887,1.1719167808990458,0.9864736992800869,0.961746039848952,0.9490118847346743,0.8261599123540112,0.8143258887500301,0.8218855297622928,0.8350355827067985,0.8670043282714396,0.822541710757061,0.8547860605232536,0.9028326949368172,0.8968109688915517,0.9542709991705773,0.9717013596144056,1.0263784497811168,1.0466155341633079,1.1078883665502333,1.1608800903665593,1.199571818309198,1.3786732796517964,1.2736045362741155,1.217842058161864,1.3758872783796634,1.1459033429706862,1.0773324275444829,1.0951380896644343,1.0508146087867831,1.7521688795275907,1.1906417897617199,1.3598679364786759,1.1237420466629608,1.137650767463145,1.1362748513046548,1.1872260230528169,1.0498755222725693,0.9267177227386754,1.1761628722681132,1.0481972106975632,0.9502737495878596,0.9003313336294431,1.3092595664973963,0.9142980599799245,1.0282000943888856,1.0418751742041201,0.8443398299605408,0.9473828597853535,1.0355175579262834,1.1457447717516744,1.275841807587274,1.3637635182400083,1.3668772140344487,1.2020223622772106,1.1324304529545202,1.24469904852795,1.1249096202835875,0.995868174181628,1.1451879824664417,1.1607050396751648,1.0628822008622956,1.1443874028716996,1.3046257068824083,1.2762555682703407,1.2221832113310613,1.2651984558610065,1.1488372770205935,1.1214055833695393,1.0363585053038091,1.0412126107379671,1.0801447062899778,0.9954950436749629,0.9743656557016862,0.9719401013218695,0.992055875667497,0.9096533961760858,0.9217676360000692,1.0038048687170364,1.0015260856507535,0.9433060976383253,0.9783699288415092,1.2260834404782874,1.0700253123389216,1.0772247424578305,1.1517048306439788,1.4060304388739349,1.3108615142743731,1.1753832105649453,1.0867741325880305,1.0881079032035956,1.2548152661823018,1.1094094960903103,1.0949718135592972,1.0797894924854903,0.9620296325041093,0.8826005395869124,0.8077397908421394,0.8247111158703675,0.8502420311641679,0.8440086406384015,0.9872652345690949,1.520186237889493,0.8546126620520277,1.006388915831847,1.1319831923432004,0.9713786656793777,1.0304714913376105,1.301726595385966,1.9781655368754627,2.9947193899756863,4.430915436432387,5.527128084435284],[1.152284927642396,1.0236957448085786,1.0807956267095609,0.9159892064934544,0.9756069696060653,1.0289598879207928,0.9343245246490658,0.9909958904416731,0.9850868738073444,1.0873952965171814,1.196134094006526,1.2149533674097033,1.2444104100706874,1.2694375018790096,1.5430625782230303,1.4769194216013912,1.3936435312248014,1.5791614078112368,1.6486560499982037,1.6125735735240583,1.7419349457488211,1.6825687696841423,1.7232581501937176,1.7488799513911333,1.5790261919984119,1.6235422880953334,1.493934539481418,1.405280458940007,1.4553428671649777,1.4178661484060386,1.6602476960379653,1.4460134812796752,1.5631989057222346,1.6319516287414726,1.5493027231207084,1.5494707513447672,1.4038674916176879,1.4449873353737073,1.379025979627963,1.393524461097215,1.4511272562183224,1.5422832708154093,1.6416256824674142,1.544126171083581,1.7288570780687584,2.2906457141389955,2.0306980462421,1.6221984632774031,2.7827265352153856,3.0227398168166855,1.9194824311608503,1.777936909142828,1.8937136738165188,1.7009017552061965,1.9713935189635652,1.5905126318212668,1.5185281260188026,1.6013138782849357,1.7704194856563356,1.6219166301174897,1.681921988267994,1.7504543512057629,1.755148998884189,1.910112179887927,1.7266907002978213,1.6613094446051662,1.8296430215290818,1.7720570528254473,1.8862400926510803,1.8417502215089316,2.009996183248418,2.3235006684372554,2.097650045106453,1.9859595499348885,1.8745378123032317,2.032389738462153,1.7349383906309228,1.7451698934202307,1.6534571965071851,1.6044003007146446,1.462588691909934,1.4349934734194294,1.864986040164805,1.6475837367907855,1.3244765742669644,1.378662329693277,1.4690082426834508,1.4710678234446604,1.5746061403271945,1.6162894646102164,1.6987970411010795,1.8414200867976604,1.7984298495638338,1.7448050445579621,1.6929098209172377,1.7772991631146287,1.7799386638145056,1.5459993870800537,1.3746554407372713,1.3651695989646422,1.305588689380394,1.2343769890877643,1.2703070703170911,1.206297066230606,1.234753463790506,1.0890337983847147,1.2289605786451854,1.0371048635839746,0.9884757100082201,1.1321834349867235,0.9790857330312139,0.9987117706181091,1.0045708663812656,1.0695736130272717,1.1401053137964898,1.1168739518003674,1.2769782201267457,1.2575900784990786,1.5158519970177375,1.4822779823781398,1.3681929333755205,1.2568379916401373,1.1701719498517336,1.0738318985912267,1.010563587568261,1.0091768343818206,0.9604866238975511,0.9753099441542481,0.9537871252423932,1.0290155649215573,0.9738428890442716,1.0294119917601579,1.0376873833698688,1.0989050813381551,1.0779652428643731,1.0554683552730812,1.0915864796254322,1.0435135935095199,1.0765303397150083,1.1158015270250639,1.1988117896739416,1.2744649507175667,1.3128359388164788,1.2421118400979771,1.2861598984478995,1.300808367721462,1.218529659073583,1.2059869157269834,1.1374334894620792,1.053623230543587,1.0328537923555314,1.053770660860867,1.381385754453874,2.2034223427495068,1.3427104754998687,1.2505177238079765,1.1794835543538547,1.148529354353357,1.2340870766895535,1.1537182369034968,1.124720811227388,1.2594958430041567,1.1950703648103311,1.2441702097712561,1.2203031774078943,1.2032216704125067,1.108895238650045,1.0896751805505818,1.1054689057552145,1.1259224877908633,1.05806325679829,1.0884195426255454,1.1316263079486268,1.1630238979021559,1.209827919190733,1.2289653100315983,1.2856673643407093,1.399549545690781,1.3091953789790893,1.3037994544800902,1.2240042619905604,1.128383460119718,1.1508973251100683,1.1666567424790195,1.4049909957204971,1.7396052469600087,1.8877012753505567,2.0432236792599285,2.555725090187704,1.5817500355287857,2.186812926538222,2.297767010247173,1.2255665825995454,1.33105358050554,1.1341853751677997,1.094407976694032,1.0779050447154102,0.9970963730791014,0.9823382485791448,1.0078838909255383,1.0609542459731385,1.0994929457532767,1.0283342559276958,1.0654031099459966,1.1787489685603798,1.1564378317867916,1.1183663815334912,1.2112714112374636,1.349184093157274,1.295537782445297,1.337805129618952,1.454738419084835,1.4983375915962214,1.573356209776654,1.5100414129715594,1.4126329562553988,1.670537886783006,1.35913193058897,1.3176044500505164,1.3934549151875026,1.363988012261326,1.959033713842042,1.4985034767030307,1.6869803868844522,1.447427851336092,1.4770364249402292,1.4663757109234723,1.547739875753251,1.3785735791839484,1.2100512293011454,1.4542651756022296,1.318505251643266,1.178334311779806,1.1346818967645977,1.504773227060413,1.0865592909504806,1.164967763550437,1.1417334945774242,1.0326357107304738,1.1293604233646215,1.2843822998061911,1.413218282342284,1.5398879464668536,1.614905992146025,1.6409502787323142,1.4546838602299152,1.4855559372683667,1.60935512153841,1.4109352452733488,1.3276634986541302,1.5108618413991,1.516505530800696,1.4119550739657378,1.5385484842685204,1.7027009180104302,1.6673655693519465,1.624396938138782,1.6909636335391103,1.5328874073435,1.5242703443940933,1.3936175134352715,1.4075008161382234,1.4493833547357038,1.302991734897396,1.2592146977929828,1.2853554449856082,1.2764553248742776,1.1538713252518222,1.194264062670594,1.2462532024428914,1.1777786144438742,1.1194421728048358,1.1828205345226244,1.3777455591000862,1.2054235973637848,1.1938230806240602,1.244350453809745,1.4768509543066957,1.414292304138192,1.2847904512830954,1.235406350761869,1.237072143875095,1.3513962687340226,1.2050667754098903,1.1777467582916303,1.1430656150508196,1.095937491904144,1.014737055233185,0.9531365054594589,0.9529572997110519,1.0242283184581102,1.0592538663651034,1.236871546654271,1.6287110697109608,1.056764344351385,1.2471023542613013,1.4214862349863524,1.1648600286020838,1.2284600390933875,1.5517458659116818,2.2149948593043183,3.080748606271912,4.476713056968215,5.737068229286141],[0.7748327043469555,0.6083002793437422,0.7257724656112613,0.6373029357799403,0.6675712875105033,0.7256762532364528,0.6391929408783459,0.6924505087761377,0.678767125924925,0.7660008222344185,0.8410918420344202,0.8448413306463428,0.8593013282698234,0.8762391359256665,1.070276120697648,1.015944715283124,0.9721587767417754,1.0976300348393528,1.1791369032899048,1.1445084123554299,1.267899160100119,1.195067314945027,1.28094963109532,1.3544375704024083,1.148810910983555,1.1843340619277953,1.085244174338666,0.9910582964114508,1.01526117084344,0.9815193286812378,1.1269449865685308,0.9867267010427788,1.1274488068683932,1.1361027097947702,1.0904497199776104,1.0667986161534462,0.9782869860100625,0.9866511397525388,0.9539812732375714,0.9775803710591559,1.0376043460432385,1.1117660024108356,1.1777758790928479,1.1180155742342108,1.3448852340587985,2.1199261719261666,1.8326548313473525,1.2332775900872297,2.628625534716589,2.8679318942523193,1.7134903759951257,1.4594080336064,1.5565135442275146,1.4027308029341676,1.6755829555562003,1.1823162192690246,1.078241910552794,1.1827635046844474,1.3504082671475142,1.1788977644078713,1.1854918949121789,1.2633376119491315,1.2425659498734463,1.43521008718789,1.2180240955668686,1.1638887971425635,1.3010563912174364,1.2370519114790148,1.413060841958329,1.282036246347499,1.537004457975477,1.9732224553427458,1.60621457572762,1.5335029070899282,1.3109794177738021,1.5572953537088505,1.2070608051274514,1.230406018451125,1.1581104260649182,1.1599398997054424,1.075893729552883,1.0177228014783952,1.6433829282726387,1.2717709467183762,0.9219709989364487,0.9618700918225315,1.0199234153617278,1.0831311501113685,1.093844125069014,1.1538038030255378,1.1637543253115576,1.2938744498615167,1.2213577719391568,1.172587755272958,1.1261866410947143,1.1983351326813056,1.2493004227094537,1.040359365532146,0.9678211088148381,1.1576271144139778,0.9508516076145177,1.0029633057031875,0.961082396763144,0.9208645008508014,0.9351492271015792,0.8006659634759096,0.9538095777023368,0.7547985755052472,0.7227892587278796,0.8686245937370006,0.6933447224095437,0.7099063906837065,0.699846141640502,0.768804738515955,0.8176800842145583,0.7971393233364209,0.9150576842221123,0.9144531028946085,1.1014078073717086,1.0445921284032187,0.9895609346997325,0.9247884524335382,0.8744490450888445,0.775060774152955,0.7155103890441491,0.7088261177596111,0.6781077545369263,0.6863394398885584,0.6727590333649947,0.7378231027316111,0.6811886603287546,0.732190394536576,0.7542045724472023,0.8294829077905111,0.819394975234973,0.7907371169990349,0.8613089992027989,0.7842971823184193,0.8130564563431154,0.8177438866997476,0.9547595032682593,0.9766417193783438,0.9645299226113754,0.8877062227217528,0.9096968511325758,0.9220390045849378,0.8551366789463364,0.8570028772973762,0.8074372456781153,0.7426242249518116,0.7819254039476798,0.8070290907771797,1.2300223206546859,2.1554333576176865,1.2751979859107385,1.0427227639402021,0.8606306838470288,0.8648616936862831,0.8814753141025127,0.8552569036967184,0.8154413199240012,0.8823644163638629,0.8592495121341182,0.881427588133726,0.8874779998007014,0.8854952410699131,0.8124810206440892,0.8142677651715775,0.8605973915693634,0.8912296096138677,0.7885223643401477,0.7915781577645972,0.8235392855885864,0.8382006824615043,0.867436274988767,0.9051737182804063,0.9199000840625364,1.1066595456656203,0.9519132730120774,0.9876071177319026,0.9037559850204008,0.8330497382373805,0.8492257901833116,0.8498541375528417,1.2006857922395673,1.5739451475049466,1.6795510442567463,1.8970645265795074,2.3452889492810187,1.3181181837755938,1.9691326324428318,2.0843333218726783,0.9675359588183533,1.1016027386410663,0.9040905947096335,0.8466439685823989,0.8317419146673578,0.695087326393012,0.6618923743188614,0.6913943188078736,0.7053194350787311,0.7596114100195891,0.6788568726099156,0.7051538347767893,0.7876762819059193,0.7692927524892215,0.8020730564746543,0.8296268716211439,0.926200448334398,0.9017066764730649,0.96187771347301,1.0386286538650384,1.0741979157190924,1.242391351770844,1.1382674977008684,1.0722787362469375,1.2736305543748823,1.0106533139243408,0.9358063875378128,0.9785982396564831,0.9380050102097292,1.6908585783822327,1.1259644491715985,1.31542725044152,1.0561459774319397,1.1011538362373055,1.1092378261603546,1.186306168767565,0.9861384006843659,0.8266266654509049,1.104517514920594,0.9641790022395819,0.8279009002048896,0.7651599340159315,1.2424912337147245,0.773088010243865,0.8787777628141428,0.9553270683047614,0.7072363728344293,0.8381745879642721,0.9501968906138707,1.0763605675798773,1.2593975385214295,1.3909365864815393,1.3804559859013066,1.1609404859202512,1.122507246832716,1.2767629036153367,1.0988776594727987,0.9507495503630957,1.1384677467281812,1.142898106030807,1.000580164148792,1.1045053936552993,1.2745515278562274,1.2018966900238375,1.1491284251700595,1.222505211554984,1.0841168504598906,1.073619352778374,0.9793010339435224,0.9862238533322766,1.008219058789356,0.8868415616465446,0.8694383218314007,0.8590035512371256,0.8653748109106659,0.7697150043678158,0.7963791190753324,0.8745195043411763,0.8531602385887022,0.8000114605902144,0.8541421847425131,1.0974446481583988,0.9517722981703246,0.9563569324495015,1.0195055684775243,1.2898345449417334,1.204225404552448,1.0172489428502576,0.9264771434742091,0.9099253216939085,1.086201631002879,0.9412417917561268,0.9392624359920143,0.9439235291854132,0.7939155921629686,0.7035460662302361,0.6397669744885623,0.6556459243195676,0.6792912204009995,0.7305356893999787,0.9157510352724737,1.5129009556723827,0.7194091734452308,0.8856107095044894,1.0484525208432298,0.8505556739596082,0.8707777838038033,1.2051966094983892,1.9016753217955937,2.936360075791481,4.365240580356954,5.429596868260414],[0.9383982462222855,0.7791688011064803,0.8478446177246981,0.7548827100760502,0.7767382628543004,0.8156294671870332,0.7199732561679638,0.824078459520596,0.7590110927632862,0.803436639581012,0.8681271714412632,0.9690535294148598,0.9363687650319766,0.8593969556335245,1.1066006635265802,1.0903553900218799,1.0040912962750697,1.1155625917406065,1.156342628387377,1.179893844474604,1.2892179068360643,1.2491423188142683,1.293207843222604,1.3463154336954588,1.1456113810779556,1.165272262206842,1.1049431807630072,1.0007037250099857,1.0683910405964199,1.0857506564668156,1.220087478366808,1.1452882472033485,1.3067661932026449,1.3143872768643294,1.251200140485444,1.1869227596740075,1.1259085791958758,1.0794041295036794,1.0345791716888377,1.080739865192487,1.1165498829516958,1.1632626586513877,1.238436023268901,1.1814544990077114,1.4069525797570577,2.204793526438087,1.937130152103968,1.3103086713954497,2.721338891814243,2.9947943639633996,1.7738589201513124,1.5615764978808422,1.6162949478219548,1.4464505184254888,1.7109713764408867,1.2773989397741796,1.1689149445592777,1.2838484474957454,1.4755458457000317,1.3058210513839876,1.2929879027421678,1.3922055830140807,1.3771058082090695,1.5298673971490626,1.2976591135115265,1.2556533491861495,1.3395828945149544,1.2852592199277597,1.3974328270714607,1.2570806215105093,1.4895490014219668,1.9306060449713933,1.5956071954387252,1.5445745375357691,1.3687526742056888,1.6532212372392314,1.3223679966296567,1.3930519327718456,1.3203178079295619,1.317088092902436,1.2429437734261986,1.1625518448956587,1.7191109373369307,1.4121786483616026,1.0531573066861881,1.0951859603287617,1.1443754751648285,1.232124459868257,1.2156102376305389,1.3256494401364276,1.3088792103594507,1.4323305197117608,1.3549031441229547,1.324749754428631,1.2389472177580596,1.2904326380761304,1.3011277625118007,1.2138280281426337,1.1476197706176852,1.321005151274817,1.1674304787538952,1.1890735005641144,1.1610487897114041,1.0732305493101006,1.0772577163010226,0.9697271612432323,1.1471346688680342,0.9030768786435187,0.8682177717066646,1.023248992850193,0.8325073159574488,0.82703130122328,0.8067925536016554,0.827588457245877,0.8402413896444832,0.7877963641022288,0.8888369489360152,0.8426166491260284,1.0263530063763686,1.0059439014793135,0.8995079668858166,0.8449793929160305,0.7893777022638646,0.7275729030724734,0.7288359695619889,0.7554587115387134,0.7704403304748427,0.7747683170518235,0.795951228875654,0.8713996472558426,0.8162355566286659,0.8796094754282254,0.8801730919401951,0.9599033461876147,0.9031929534178419,0.8601133912749271,0.928103873901561,0.7998024993580837,0.7835332884425091,0.8029426429427297,0.8921456163752297,0.9148739449801411,0.9307114988227477,0.8805359178684046,0.9328346866620061,0.9643566579862434,0.8916249765450428,0.9393025838602821,0.9122120896019051,0.8653691827856852,0.9240759124142481,0.9325522560794456,1.3527753999102068,2.139313144110286,1.3340873176148549,1.188525040051917,1.041178745062654,1.0250103908950863,1.0270885129473846,0.9805256507600146,0.9195529737767066,0.9714309736701553,0.9022279016818441,0.9403930053671007,0.9439816134150337,0.8903423681586431,0.8663908058441957,0.8476794443278745,0.8941303088852144,0.9095029766358207,0.8316996649428278,0.8271045060943807,0.8915160504831448,0.9316673654252587,0.981646408689089,1.043399128335804,1.0563507573275055,1.2234321582283918,1.0831069697824014,1.108735558450493,1.000219726058536,0.9594041183901726,0.9764176301469537,0.975393079646643,1.2939261192418186,1.656156054523152,1.7908222496111854,1.9746594363919094,2.4231734535525624,1.389183120082233,1.9813458221938045,2.0841406025898057,1.0117660365693324,1.1682716696625506,1.012565986526541,0.9535485096176193,0.9336486324117982,0.8445121872039134,0.8163173439149514,0.8508398208725046,0.865347800968565,0.9159079994642739,0.8347304946883519,0.8486035041983161,0.9290234283591208,0.8989912716143462,0.9132304200597495,0.9518959151427759,1.0116672924604846,1.0015468788003792,1.0691686763395176,1.1449677633686979,1.1582596727989265,1.321457706582863,1.246427976763109,1.1900257859591368,1.3565721781457953,1.152982142997615,1.0731367821001696,1.1113040703189505,1.0725939331448682,1.7399163585599415,1.2207013572947607,1.4193014444773273,1.1534015358211192,1.1911251671674006,1.1693801622999833,1.2077978218103127,1.0897277125122102,0.9561422125331133,1.1663733151657167,1.0264916263503927,0.9702978295180539,0.8965232488165763,1.293116889170786,0.9315162956743588,1.0424006688643082,1.1171438521129895,0.8650018685932637,0.9562826795199171,1.023477794861995,1.1475964693292202,1.3084549375793637,1.4152843599768117,1.428185421679976,1.2216275737549913,1.196085730320752,1.3686186362661097,1.1785779365044515,1.0479579595420006,1.1995254215118405,1.1926047432634683,1.0707623496455267,1.1679602363215027,1.3294632000501256,1.246340068595017,1.2318741319107698,1.299092653102896,1.1763356837053196,1.1518793891500687,1.073667034241473,1.0887925577128603,1.1076019153117092,1.0002546947214792,1.006792427242434,0.992396534908493,0.9964213016011669,0.9249342060165877,0.9402634881788412,0.9876944286485159,0.9922156020133298,0.9631848177207788,1.000325804540246,1.2407239259481788,1.0971131102254577,1.090073220004277,1.165898019613999,1.3974432457700454,1.4218438972346874,1.1828688834946028,1.0771251938426571,1.0454072346567145,1.2122644630494763,1.0856900257512907,1.0802938512281246,1.045067920550838,0.9286460943520389,0.8331350406401696,0.7875075623805147,0.7793804762832529,0.812903530064101,0.8697576136285544,1.0269963906441506,1.5829214302798575,0.8493459116664617,0.987169932290241,1.0917350743558663,0.9773459624433634,0.9424130006805612,1.2801369129166473,1.7946817473073597,2.7192429250955725,4.080532145409676,4.93824560481415],[0.7816477879511208,0.5819843210687387,0.679528217634515,0.5854009263109119,0.569657033215707,0.6611930894857769,0.5205320504932772,0.5826375353265979,0.5278040686597518,0.5403822297198695,0.5723486675453772,0.6583873098146544,0.6028686035893343,0.5737631441095729,0.7571081884722292,0.7340728138655882,0.6849591536213935,0.7816400951945713,0.8651758304079191,0.850053918244779,0.959284073018735,0.8953510612059553,1.0366652929645919,1.1739816344411849,0.8455173021679411,0.8698295187148276,0.7918337584678594,0.6963974616490849,0.724963764098564,0.7217568628660361,0.8346487423774045,0.7889123893276088,0.9731932747815012,0.9425952837322167,0.8668662811619128,0.793023292218902,0.7564364530953502,0.7237301534982472,0.6997199954473747,0.7592673820502812,0.82946712842152,0.8363136360875663,0.8669701257723864,0.8976569635108954,1.1510015672634732,2.159821116594611,1.9021484042411416,1.0637580334063834,2.6996071536469284,2.9627316129271306,1.6876336229327766,1.3964855632343631,1.3408255818846229,1.2670678161729125,1.4665968984842124,0.9243993190042553,0.7949685289027251,0.9361709585776861,1.1537480617927072,0.9497473762120039,0.9234976140412932,1.0036840090872432,0.9937526255002196,1.203144603633769,0.9524572269557813,0.8917480668641173,1.0319243348352258,0.9389689486856116,1.1412199910640064,0.92612280855065,1.1956873831363255,1.6162862827342905,1.2460957159671762,1.2319318541922175,0.99723775809726,1.326210950428714,0.9460456421352318,1.0056838569038642,0.9035634795993867,0.9120512089581805,0.8618058357340278,0.8071233228627412,1.568297637477215,1.0662817324285399,0.7312393461799358,0.7293458691132652,0.7633687736619436,0.8663453772056814,0.828175785098167,0.9628296673449565,0.9172734971745118,1.0513634226056832,0.9547249521878369,0.9414102369675916,0.8485798851745459,0.9149871578229566,0.8944011035668706,0.835006846461418,0.8236603391633703,1.093225037834875,0.8324768203045337,0.9387722631709353,0.8433465905712773,0.8339645232270695,0.8330488002561716,0.7062189661546862,0.8478729931132906,0.6284990306309893,0.6083998599738879,0.78399449952981,0.570763170264276,0.5619180615776657,0.5376196665836105,0.5730498545164289,0.6002128271422064,0.5599705210875211,0.6427345444908381,0.6363956788489487,0.8263266236289515,0.7613238887239847,0.6965244870969376,0.660147180618374,0.6395465828594499,0.5452250324978525,0.5300191078968508,0.5565884412646653,0.5579491391337449,0.5534494945135924,0.530082285523101,0.5995378865702857,0.5374088283582944,0.6017559703309006,0.5958958885227147,0.6960007210363198,0.6573794038178744,0.6283028626235525,0.7944429352012656,0.5999192112009617,0.6028262807883912,0.5800642175532316,0.7469125339603161,0.7622899322430712,0.7235957891219097,0.6397129376211789,0.6429442527481735,0.6566360412197327,0.6028591426218659,0.6337199704277962,0.6274169160398997,0.5894791526118769,0.6768011824418213,0.7355501202228073,1.1891670627937765,2.1732988489832663,1.2665189167293003,0.9836033408752763,0.764783397493362,0.7805546368287406,0.7334204310815031,0.731933490677886,0.6370575644296432,0.6655194251527276,0.6379532864820101,0.6520824219162418,0.6891145579852324,0.6710270497771893,0.6288252774553222,0.6803439323547824,0.7459240746770738,0.7773202961949889,0.6286376506127633,0.5883795532237477,0.6289887345625823,0.6527577709493225,0.6874864647002609,0.7656208637076048,0.7582223482086765,0.9808478815311271,0.7888329360623504,0.8355149063361648,0.7551780282510901,0.6906679714070421,0.6837344457712918,0.6811350818042713,1.1891944676540995,1.565532257403415,1.656980101197016,1.820652760561548,2.276710382789061,1.2430494784580404,1.8887061243534788,1.932903471977427,0.7768712636770702,0.949297684559304,0.7664132382101674,0.647065142189775,0.7017372727402523,0.5604594869455962,0.5361048998890657,0.5877000563222602,0.601287920360892,0.6638042668500244,0.5839521169907621,0.6092621380791172,0.6882429024247304,0.6730198186177996,0.7207115852815457,0.7286836723627927,0.7947189736652464,0.7881330852227141,0.865307793133441,0.9118187238855526,0.9290033538352872,1.1176133977948968,1.0584350586882965,1.0226388986159933,1.1883612516907103,0.9891820638197493,0.8603793146223009,0.882870359027125,0.8408295248399017,1.6034194873915548,1.0101720706565727,1.1728268286795236,0.9613287558680179,0.9446964640479987,0.9546855046649805,0.9910104343671073,0.8398054840011662,0.7051344679858615,0.9819614590234158,0.8194006578297086,0.772249644921707,0.6708077435293675,1.1310026308456333,0.7018306632918087,0.8015004784797629,0.8942102809649749,0.6069468033709208,0.716561802904039,0.8306454218768554,0.9579673966434301,1.13224636587968,1.266032459705439,1.2799383660986967,1.0594546225814439,0.9817780203928439,1.1437716456738463,1.003137278773253,0.8362305901454895,1.0057082297918332,1.0160682797729854,0.87428992960385,0.9520882460001415,1.1246433418895962,1.0397686392958494,0.9918308326413224,1.0645162977404954,0.9535656215943406,0.9247088846852691,0.8495239545076977,0.8467268419381678,0.873703713669614,0.774111959291255,0.7812186916323021,0.7623927373289064,0.7838743960697132,0.6874481368255295,0.7081932838669514,0.8439235899145094,0.8131633251799185,0.7568962918854285,0.7910063089550607,1.101350654229248,0.962442896596392,0.9665108530083546,1.033837760462217,1.2721345009385665,1.2892087910417802,1.0234461464001159,0.901088650625188,0.8587593644183205,1.0531627700202284,0.9369909712288418,0.952482780773289,0.914578426720647,0.7544645751201952,0.6373604218615816,0.5134273997482784,0.5339575131434257,0.5533570235940399,0.6300012298412494,0.8139404290099469,1.5280484762661561,0.6216080328733595,0.7810877186709304,0.9192809671295536,0.8171435889379881,0.7833733672058991,1.0777415761438423,1.6369125614061528,2.752206549205616,4.153796174116047,4.868414130625545],[0.8627352701647167,0.7218344873210818,0.8053273477924373,0.6723416619815399,0.7548001825786321,0.8191757163631196,0.7495805650273177,0.8590056817878073,0.799729578300049,0.8147006344015882,0.8764760514345435,0.9992907896900032,0.9537196432118284,0.8683036841634204,1.0829543721060702,1.1020863050116114,1.0069307601801294,1.117923777229532,1.154076422910272,1.1885010110078293,1.2660895135867742,1.2445067031790422,1.4057645199217677,1.5306715486185438,1.1669748780962597,1.1543985332089763,1.0756813442223925,1.0009274858125532,1.0712951175481729,1.1220015217322423,1.2492201405097876,1.2197261110934536,1.4911766599757377,1.4232935689455275,1.332425871201628,1.231437046617119,1.1642590303397922,1.123305142641411,1.0741100713785168,1.1495730745089172,1.1392405936903849,1.1818073891289285,1.2236641610472865,1.2164010269952232,1.4049605375901313,2.365029760553002,2.121135041852998,1.3441493761743377,2.837715365277795,3.0892223462741955,2.0072218825394548,1.6094521045056382,1.6558152996556137,1.5801301840480018,1.8478456336880977,1.369337054095936,1.219119359847018,1.3897495356761786,1.5451660438867054,1.3399934100077244,1.3167939892573277,1.4144162988240656,1.442885877909909,1.536011857469279,1.3502744514292506,1.2999986936066101,1.3719567015974743,1.2950249094873691,1.4042292720935103,1.2638769017791698,1.4288289899279647,1.7624631862612292,1.5476355283580205,1.582804413953849,1.4042723887945234,1.6867478812508663,1.3942422852649174,1.4784848094436194,1.3666597741334967,1.3713648965766143,1.3186590409501786,1.2576284978980936,1.891986488776492,1.50855855264641,1.1244638872265196,1.1587254218294123,1.1877838357576187,1.31378963870251,1.2824334174160672,1.4260263840369414,1.3882065750198636,1.505480122137827,1.4178858792160525,1.4233413227256295,1.3039570643947245,1.3691987545449849,1.2507749286787047,1.280463370657616,1.2238922044357499,1.4721598761470711,1.24391603830582,1.3232264703062497,1.2133617393093346,1.226035342893293,1.1956447355753694,1.066209889414073,1.2163372764116467,0.9625345372921696,0.9195536368164475,1.052024659412251,0.8895168767299789,0.8841409414563648,0.8336854924869015,0.828612507914446,0.8732389239128912,0.8221160461215099,0.9143969424431423,0.882526468779086,1.102592442534415,1.0332337601473613,0.9527381748676824,0.917979407856763,0.8347725308108432,0.7320756408876044,0.7354537729462085,0.7659888329570388,0.8014227104971062,0.8111599737380302,0.8203786397543186,0.9241107364342591,0.8447455226863735,0.9314459779516453,0.8960190511220149,1.0116700098578868,0.9156518555525114,0.8698119942915546,0.8670136854369246,0.7875183205580903,0.7936841904743345,0.8121155688633317,0.9344694338221106,1.0105103814335121,1.007040302720582,0.918289195518128,0.9657806856618326,0.9852377179681856,0.9176500495942563,0.9722700301353903,0.9770753054640684,0.9268472119803044,1.0139826132381884,1.0589047141146322,1.4981678162293166,2.245923571795903,1.5178725188885154,1.3347367683581295,1.10058433662155,1.1253886652122538,1.1045998205943313,1.0753555911477968,0.9653126190824198,1.0378992446449082,0.9424607685970569,1.0225511432214276,0.974261542516737,0.8906026536484268,0.8866725716241791,0.888419244912267,0.9090811183648395,0.9254192861141957,0.824993582507982,0.8360074088386551,0.942213566864127,1.0059892672682398,1.066311505359171,1.1560505804999834,1.1604366695918624,1.3320090944268494,1.1954498216427882,1.211533540964332,1.1134262024183867,1.0514400931673547,1.0512560567768003,1.033894804979662,1.385200352594824,1.7054301077310536,1.7674386902701427,1.935678313858726,2.3369697812203087,1.4549220254606348,2.088926059534747,2.1035600529086236,1.0584871291772955,1.1283893887435796,0.9878240719770527,0.9049918430778352,0.8553825442457361,0.8575773551798688,0.8272057963813003,0.8825818119123513,0.8829232888725235,0.9434221681084041,0.8582816942709796,0.8493270110177721,0.9278745455099251,0.9042441199243269,0.9106587084212852,0.9374469129933882,1.028769575168847,0.964266310422968,1.013578859640993,1.089685128797576,1.0972351279343189,1.2370087375056438,1.2050164650768247,1.145227511335706,1.316371234081334,1.1179851043841347,1.024341879464093,1.074966309573795,1.0617504950579584,1.6734451004338828,1.2051461110082289,1.4311488624678832,1.1831443104437622,1.1852248864107002,1.1934225413891617,1.2228365412923141,1.0474346596961817,0.9705704404287452,1.1851828425527984,1.093836263429295,1.0863892217570328,0.9681482352960934,1.2586316293821005,0.9868639455639301,1.0083914253263688,1.0512646787004167,0.889096350138314,1.0025141794578343,1.1025404919846182,1.2054772670787843,1.3527333437442202,1.4746588136328833,1.4919974295498315,1.3032385568841678,1.2384585556471677,1.36982226893475,1.2642160336933568,1.088834359802919,1.2397081382074158,1.2435007162859837,1.1011049627872376,1.1867303772071343,1.3626671849221708,1.2446704313891597,1.1870965423746582,1.2704366081273004,1.1673426400438212,1.1774670812464643,1.1125249462273321,1.1184351558089771,1.1208471943851326,1.0113287204584516,1.0297232222839923,1.0007446356873826,1.002473357412936,0.9220770141680474,0.9398512190913484,1.0685932009171226,1.0119870322498974,0.9595685770202393,1.0014449905918335,1.2497368849734378,1.0963791730396815,1.1019167452926697,1.1486248318062817,1.3624233500273648,1.3857844579655194,1.12328599873721,1.0347974644501403,0.977677556861092,1.1320732012836359,1.05400219542599,1.0738357741026059,1.0647600115036917,0.922556074210038,0.8352855233203305,0.7905634937525331,0.7775826961912587,0.8125585590406907,0.9040731478130241,1.0193183603788838,1.6455623090323444,0.8711405092235387,0.9480317773983765,1.0836831080643479,1.0426824991618415,0.8997391564965089,1.1521465158589173,1.6485273329421626,2.7032139974547356,4.080078626801965,4.683370115006996],[0.7228061441787458,0.5316057584260607,0.6421709589108587,0.5085830733713823,0.4947099694911522,0.5482267315133622,0.369066728520403,0.46947331586816576,0.381165870624832,0.4021209336286053,0.44116957405438567,0.5515652684099858,0.4759824440453815,0.4504025267758212,0.6465035272646367,0.6187384561791712,0.56972455596256,0.6760435315866826,0.7856338798976668,0.7587365473056087,0.8919909893318413,0.8212169737220342,1.0093343583148824,1.2043186842608444,0.7741699278057167,0.8016984853231585,0.6915663827169842,0.5728943992504179,0.6057539400221629,0.612390026135891,0.7439661703061664,0.7007017407929066,0.9230395123483277,0.8891116835134596,0.7824702184165361,0.6968992446941944,0.6570818478245674,0.6124681360333094,0.5802685990285413,0.6473523282716563,0.7548344026376315,0.7430796384723138,0.7593414708281194,0.8820734496922791,1.2055112176675664,2.321708857449697,2.128024818541937,1.1050453130758349,2.7903358623684658,3.086180236529725,1.7412736725693203,1.4236970092017327,1.2640206689042757,1.2163235826068737,1.3754136569165336,0.8251438428196378,0.7205368151165359,0.8496661804957403,1.0703066961015908,0.9084149278194265,0.8574716049664564,0.9458257886425211,0.9517432716277412,1.1509403916568612,0.8979062990982705,0.8216435640897873,0.9802939479716716,0.8634868825608628,1.1134064442682186,0.8524004117481855,1.119648677158456,1.4949647639482115,1.17222831719103,1.193873957872914,0.9490598079371897,1.2860642516079455,0.8965976964670325,0.9693731500852643,0.8342394594406768,0.8257021810692912,0.7779957330627489,0.7181995802379967,1.5187033912528671,0.9210567361062512,0.6403925720431138,0.6205255552136892,0.6564612487525617,0.7690579517356384,0.736268827494951,0.8976154730857302,0.8616524938654224,1.0196718737531762,0.9096586656869474,0.8930032060546174,0.7787462047364799,0.8596031039508252,0.776049990356019,0.7697783596214354,0.7473529146290782,1.0463111029376693,0.7569218004711321,0.8862774157379991,0.7474415987969028,0.7475412295848585,0.7305833250870606,0.6179155787153422,0.7792506898447835,0.5210605569281931,0.5158989963973234,0.7234766838188085,0.46604793770039027,0.4314180235655446,0.3891445478769761,0.4270271232392263,0.45535505005616794,0.454466372408572,0.5269466116359196,0.5436455749045952,0.757765570636645,0.6389446901584751,0.5992370227742868,0.5569034086705326,0.5647778591279556,0.42694549915305247,0.3845221998438323,0.4125278985247182,0.4189556814809492,0.41960746832783186,0.397546691879731,0.4817945248999429,0.43886121559044244,0.4958901498594468,0.4693887622244423,0.5664700773129319,0.5346293765777442,0.5046139439184936,0.710998537975282,0.48441705606467134,0.5004878467134632,0.4531899205722772,0.6902989060348801,0.7166538748812825,0.631739401038419,0.509846360878729,0.5088286259126298,0.534899732258795,0.4727652805658149,0.5080269630607446,0.5033158540312653,0.4804999124651064,0.58824379598739,0.6708584368909261,1.1868761332149225,2.1125507706089612,1.237621837397057,0.9380952992040027,0.6799833940163331,0.7023250492876157,0.629224913611564,0.6348150453552966,0.5064090836576297,0.5400969885207126,0.4827881004292331,0.51182444498167,0.5336470566706492,0.564377566285944,0.5133397733231235,0.6507706601649332,0.7112495636473393,0.7230274461327203,0.5301564559899801,0.45940935888695367,0.4876374961522699,0.5295387663962777,0.5565250121297031,0.6557835914719523,0.6555633130846151,0.9153760391991232,0.6821932507539368,0.7193570395545935,0.6430122555424883,0.5727585698921708,0.5596184544839631,0.5657854591066385,1.2000277200393275,1.5351761829015134,1.640986425474228,1.767380490690909,2.2502199185951026,1.2049799971918922,1.8336040903319606,1.8479906285924557,0.6939948907093921,0.8667369163750074,0.7034195759269496,0.5853113350935,0.619441208474226,0.47158708665857574,0.4675368112397199,0.5160585311670822,0.5178552970938106,0.5788653005751957,0.494795838992955,0.5359905719628382,0.6198799504090453,0.5915996390050902,0.6640970938695765,0.6832966406481509,0.7361566425440079,0.7211659490892438,0.8283527996068546,0.8744717016856456,0.8678358208594972,1.066188401957356,1.0492963449591766,1.0087500532417901,1.157597431266596,1.0077981232765658,0.8545610947629104,0.8823043855708139,0.847184313934345,1.5942119051257213,1.002806359753449,1.132365434515542,0.9289177679909485,0.8816540928818876,0.9065087205711465,0.925984239617679,0.8026879592641283,0.6543271349871796,0.9005386665506847,0.7420158994520831,0.7844975587742896,0.6147612618834337,1.0194098341020383,0.7105597553750252,0.8069464525351648,0.8799186224504737,0.5470624051732678,0.6037982367381783,0.7200030140893878,0.8724234167088049,1.0528941786688957,1.2424523313779197,1.211334185311365,0.9992029574157151,0.9339399894294534,1.1252574422715254,0.9829147129628211,0.7895691021314801,0.9895603940713023,1.009672133173797,0.8311124278697217,0.9279084281253236,1.1144623649946386,0.9990820497308709,0.9413902887932005,1.0301890619557112,0.9204534073098741,0.8930774163301121,0.8093652366030933,0.8152551976392802,0.848317091058563,0.7362812228210637,0.7450338482639739,0.7361997004801786,0.7628778870137987,0.6597354959920465,0.6828541048460514,0.8655744668470177,0.8272829869968924,0.7599950372162098,0.8129444840073308,1.153930913490789,1.022675885273396,1.0138637311313137,1.1127960579740321,1.3136155041559963,1.393913085782695,1.0731536997001454,0.9209708418205077,0.8492551335126832,1.065676500669058,0.9641917916835117,1.008583722049769,0.9421200401076326,0.7531984206515634,0.6038974782497337,0.44067600946482377,0.42775968906819234,0.4652404527001579,0.5415509547011775,0.751867126225287,1.5297433530613849,0.5386834208137334,0.7048815086516896,0.8156631966897594,0.7797108944244243,0.6594808202073283,0.9855160460196539,1.3997186625775322,2.5109164631991945,3.860398587506204,4.255522381238804],[0.6726622720450454,0.4674920064966548,0.580458834178056,0.45771689214453387,0.44668341434911457,0.49376360697808985,0.3466272504587037,0.45523223993373746,0.3634820092280381,0.358168573292076,0.41145056440865074,0.5333303451133873,0.45186158493647,0.43387760921653207,0.6375510785815519,0.6098030674068282,0.5733941336701878,0.695290427581923,0.8256455731252453,0.7982832724558158,0.9387040612738881,0.8773043069641421,1.0993811652203265,1.2668739493721641,0.8474722036631821,0.8485418491073474,0.729213894766977,0.600343162054674,0.6291078167990979,0.6171846917795081,0.7701789468451932,0.7028137628181499,0.9736199993566474,0.9319026449544473,0.8087488175321704,0.7187065752310123,0.6585476779671039,0.6376287029109452,0.6123587701780834,0.7005696038230579,0.7853461079806298,0.793995836556117,0.8127050137314614,0.9201106220054542,1.2342028634928415,2.359377857650796,2.1619657993037813,1.1340200407397718,2.7870616265075996,3.00821203173771,1.804803537478629,1.4252695167084903,1.3254035221826581,1.3085829700690872,1.4059041461197712,0.891953003396379,0.7998324973311038,0.9393555213647049,1.1167493427814408,1.0018690036189004,0.9306281582781265,1.0288602899214598,1.0315535665096358,1.2585130271316722,1.0007183844724004,0.8923990352646961,1.0528550426130154,0.9033798465727946,1.144820979061794,0.8730830124705016,1.1131677413538268,1.4276372087119718,1.1315524032304864,1.2213242394695285,0.9982223889175833,1.3325886736042927,0.9521548739030181,1.0298842236508499,0.8747693371755212,0.8725431879761033,0.8037057623635275,0.7474304394688555,1.5728466562880095,0.931511076702498,0.6691205305782758,0.6382937055162741,0.6815898986049838,0.7761449476519678,0.7643376285237985,0.9525472837029577,0.92163406553976,1.0550242574344835,0.9521952708085383,0.9326540218989038,0.809825976080322,0.8846405289495057,0.7829247055665477,0.7938505227630852,0.7551034997768908,1.0576658187119317,0.7614433990677485,0.8636668258284776,0.7552095008882721,0.7340582273835851,0.7031509773255601,0.5964011581704952,0.756431446211532,0.4925973005014079,0.48819276987825017,0.7237097351529896,0.4309025657414189,0.4016351934748177,0.3622848721758972,0.41495467092126587,0.45843131908565776,0.4542314257033612,0.550366269590649,0.5823729453367081,0.8335280696200368,0.65460661755349,0.6290347836634387,0.5810959086881656,0.5802114292651128,0.4261046328944726,0.3475708278573769,0.3596342769312767,0.3841087476518762,0.387177036792497,0.3649466857351029,0.4419406572530353,0.3851397329825284,0.4511410720060872,0.41927745728871957,0.5424844513665716,0.46443965137758,0.44153798370632663,0.6605498514493635,0.46453757179883376,0.5001459294215023,0.4704167001936204,0.7391145372234276,0.8017133120553104,0.702788874006089,0.5497596333711181,0.5415234585797121,0.5660978656070048,0.48839802959524203,0.5202532392222177,0.5065624564953495,0.47004681498586515,0.582234481596422,0.6657769353560147,1.1555556518012744,2.142691789699201,1.2684900896060374,0.9354812721726825,0.6827656728875346,0.7037090390084514,0.6377865444486307,0.6424876138300837,0.5119868124364496,0.5691199330439048,0.4875522254828837,0.5588448655105984,0.5158361410149817,0.5695994673609778,0.49722103106269305,0.6593825393565149,0.6995101697291511,0.7128232800205163,0.4900373261850314,0.441884779108091,0.4689543518696604,0.5224189371341758,0.5711359868872485,0.6701745450931124,0.673070226153211,0.9253911350294587,0.703791136582189,0.7264639510258056,0.6670653139359085,0.5606992341351411,0.5470531514122916,0.5650625070219358,1.1955932803945377,1.5505397886326993,1.6438432078815375,1.782705178353443,2.204827097887383,1.2266993000205761,1.832518959804159,1.800204597907408,0.664185502410028,0.8239470722139739,0.6681093385971828,0.5456555836478382,0.5786715099517951,0.42587191576556843,0.4236248544587243,0.4791925245494678,0.48511222157632167,0.5586572913834293,0.46562078896238873,0.4950555426787373,0.5934028782752292,0.5702452665959087,0.6185251764989288,0.6423295377593946,0.7142508343709969,0.6861995770937521,0.7835551682906448,0.8330466515723078,0.829426410292103,1.0040335064567005,0.993886902506931,0.9575048197054039,1.1269374243099866,0.9644761893272157,0.8016337426783667,0.8396567199760274,0.8125016894030909,1.5572028220440945,0.9792362638559752,1.1095388117817633,0.9149170259083633,0.8529080214128165,0.8843653272668315,0.9025715101407364,0.757635924184691,0.618221898196882,0.8894934960451227,0.7285279716834764,0.7528763904338348,0.587427936584288,1.0081348550252611,0.6869923405358208,0.7592963417188513,0.8818458028749631,0.5007052060365381,0.5804137555842166,0.7139926907599095,0.872721287919976,1.0673051306562509,1.2358503037127477,1.2185482571204553,1.0059436830007014,0.9242370851428351,1.1237286770165151,0.9773888602076068,0.7770783546969697,0.9867279004127975,1.0125811051505267,0.8203772449809374,0.9125293273946912,1.1035521653242049,0.9914624775394526,0.9187650912312308,1.009681929742122,0.897683446519168,0.8688084996102743,0.7868326351336821,0.7857746973855245,0.8123835586447776,0.7004590899012824,0.7187604019560935,0.6959381433444538,0.7201209651432015,0.6180236020867087,0.6407496923265033,0.8295173508603246,0.7759823415505567,0.7226021897883357,0.762451495554082,1.1096321617068905,0.9923240540658905,0.9794354772213498,1.087777756324088,1.2848071480899745,1.3643197891207781,1.0195006187104687,0.8680948620016362,0.7813818460511496,0.9967487325260173,0.8941398340499639,0.9481893612745376,0.8950065359548174,0.7004896583915596,0.5482206359667746,0.3965970409274607,0.3894679431898517,0.4263079151371069,0.524155601642331,0.7394520976067782,1.5358776314661007,0.521510515103653,0.6794429154919522,0.8224989940362193,0.7564844295621871,0.6453171317524051,0.9303244012858328,1.3917227420075622,2.5589231497438627,3.902095609782792,4.311624098283474],[0.6879421803528439,0.5131452933601854,0.6214635126516354,0.49319550304137666,0.45665922132834297,0.499850438754272,0.3319501904550147,0.43591921929438265,0.34400149697909416,0.32713537863467224,0.36750764360946764,0.47709295831831455,0.39432924665802366,0.39591802909465174,0.5847149749472194,0.5481670418496535,0.5211615139434858,0.6220336331656033,0.7642248118024096,0.7174507430722598,0.8549682220694853,0.7929268555372413,1.0195060303027983,1.2224226920231405,0.7819315685286717,0.7900796057452447,0.6652597683148244,0.5387107983540959,0.5527751152590957,0.5472601690232349,0.696318664782686,0.6361461251170852,0.8755812770523975,0.8398295922740994,0.7176631812472858,0.6317859138530086,0.5826892951864108,0.5575016713534536,0.543952629646775,0.6180043724467794,0.7422882384196704,0.7195477728227252,0.7176008446329908,0.9298565743319975,1.286860417094098,2.464251388572846,2.3321701988865615,1.204161648082459,2.881741362551584,3.1779664925330775,1.8426565306647609,1.4830380572556223,1.2661263033481103,1.231978854776914,1.3080718371652877,0.7895343589972622,0.7169531564238117,0.8233181525286267,1.0270616259124445,0.9284958801563411,0.8290915629268308,0.9254859809081273,0.9328465005140285,1.144693311043388,0.9014968760972254,0.8015782739908193,0.9890869842368726,0.8247021681054013,1.114451043114809,0.8312810284460027,1.0536290165062092,1.3628091379206002,1.100571872520297,1.1633030060580805,0.9318911918182642,1.258831042410206,0.8628196048316766,0.9291180446811177,0.7725964223937897,0.7591114193717481,0.6977428236670038,0.6449815742675898,1.496492955232416,0.8150003717928072,0.6167667574100112,0.5425874601093074,0.5851110705380869,0.6823773964069451,0.6720952200923163,0.8552107652778475,0.8282025036100521,0.983533032414982,0.8674893267671869,0.8448091557519916,0.7315699115413482,0.8205040212722811,0.7118541860411719,0.7228564807367246,0.6966538786022902,1.0034241564862139,0.6907474492705672,0.8190601437691131,0.6874684840342351,0.667431272117393,0.6390082675892431,0.5524322665784377,0.7133234842888779,0.4541260617081092,0.47371631899733707,0.7092591048130841,0.40697971953726353,0.36056690233931293,0.3331088753724899,0.3898223176400502,0.41876821067726633,0.4282985722824099,0.5122632878749561,0.5561038864437562,0.7981026455224993,0.6165050713765712,0.5940931556722727,0.541090575957571,0.5688948264879795,0.4120482330355787,0.33318344436401287,0.3549716484970074,0.36582693996312204,0.38014751890792986,0.3435150905218292,0.40442676669709393,0.3849234857488451,0.4269249921340385,0.403065029280234,0.49919287927929235,0.47897462356150233,0.45673549382083367,0.7095070573499911,0.4757763875190118,0.49066913358060094,0.45028459609416577,0.7248277829671859,0.7705051975058422,0.6476975325519506,0.4997542672107729,0.4852455843413322,0.5069983356364083,0.4370701104716843,0.459646306656512,0.4428012516328844,0.4294977576571891,0.5529130725519079,0.6436396390054825,1.1426053686442244,2.1078490747448195,1.2512521607965634,0.8916899874978008,0.6231513287582723,0.6456101694972008,0.553248260485581,0.5658533137864943,0.4588098630503249,0.48768875427905134,0.43768772625291,0.4712378707649796,0.48036331372705904,0.5517986130519299,0.4886373430562204,0.6950038052931053,0.7495973375381547,0.7448508538663239,0.5133049481480687,0.4309019521830802,0.4381464726907707,0.4702547982594124,0.48781043628559684,0.5884441130066181,0.5892116590476798,0.8601744560032094,0.6126279383153185,0.6435861045167808,0.6067173135599969,0.4951250033308703,0.4782355462221812,0.5114147877025156,1.2634589124637359,1.5742273280379058,1.6789937234536532,1.7649400465011864,2.2303626790716096,1.2121858819279527,1.7826667690441274,1.7350990907409063,0.6916188896681188,0.8262899870087806,0.677167819348989,0.5363097687717058,0.5810236779246027,0.433517800452295,0.44451916168614103,0.48479158385240934,0.48403736516179613,0.5399434955154433,0.4621921885677542,0.5171502542317461,0.5986681324573457,0.5798292456288416,0.6428717861913742,0.6604326836246047,0.7283806402988758,0.692955880265989,0.7979115834460645,0.8468320295970838,0.8327670299368057,0.9924886286737445,1.0087920182054808,0.9873072238382586,1.141910321616483,1.0193320413184113,0.8359509665341626,0.8760612409134898,0.8541506897412029,1.589463863543814,1.0027343903804846,1.0940660016096853,0.9258861327655544,0.8379665920239411,0.8588042084734254,0.841096314033134,0.7809287449603822,0.624906177113627,0.841545705023961,0.6907403429988925,0.7701652633861,0.5846701987849661,0.9680813609712188,0.7485811551602746,0.8157042171763474,0.9084869683758234,0.5345178081606237,0.5542179030977029,0.6701293329339506,0.8125825178108437,0.992560878466486,1.2036024982550781,1.1566988472892281,0.9567489210654437,0.8748958653998425,1.0732327436541318,0.9442516504035178,0.7652639391963363,0.9709890507290753,1.009872656212346,0.8281701900807987,0.91998736787574,1.1154191943471172,1.009758336278188,0.9267469616885123,1.0150227672966894,0.9060898883914469,0.8690040579455934,0.7848498182976328,0.778370818690748,0.8162772266917349,0.718253849361814,0.7315102612519122,0.7248421056182821,0.7525939541332287,0.6548541483687584,0.6778906335174065,0.8704246167016845,0.8183364212326838,0.7705287109557087,0.8078240621701128,1.152487091498297,1.057791130426923,1.0406605160310134,1.1559287123319133,1.3210944156563547,1.446367956485016,1.074005137805436,0.9071693919126275,0.8148549418056793,1.0424157393134963,0.9556207410780951,1.0258793564167434,0.954314804906125,0.7616307543679635,0.5846176949784032,0.4148935050866472,0.4016018577199334,0.44513561081831526,0.5163260880317657,0.7337688640510525,1.564826602788676,0.5218518292476041,0.688059906653581,0.80975362092726,0.7591429277585532,0.6401356770038228,0.9090256210499346,1.3095939159940766,2.4734995242924964,3.7908692841776515,4.007445740507899],[0.7071451909039447,0.5605106176474121,0.6828129349245086,0.49782199024164664,0.516347039584734,0.5587958530502568,0.4032565167606297,0.5440828911775103,0.4326096526286866,0.4014186019859814,0.4419324316257528,0.5502093909494882,0.4502136451758891,0.4414271616193587,0.5956855701368575,0.562428444544118,0.5323256474494176,0.6087396040774121,0.7505271821153288,0.6917523193801948,0.8102491641389633,0.7607916287137704,1.002011486290978,1.156573546699671,0.7660600926062767,0.7639478952022261,0.6506189292161383,0.536151077248653,0.5474339498161344,0.5689111659840125,0.6789524032037192,0.6555979865503454,0.8596905304489696,0.8258633943268329,0.7199919783499097,0.6271248054026883,0.5917562890501455,0.5438047823521098,0.5283372789671065,0.6250749371794001,0.7705612675344975,0.7035243029276665,0.6810033665999521,0.9781380066224601,1.3668782895796816,2.630755890989619,2.5568381291071356,1.3521270768126368,3.048220820054534,3.422844304908785,1.9924433086477211,1.6048944905756488,1.2926024225084174,1.2113300619819525,1.2788810400676385,0.7757324253438685,0.6949323300207033,0.8037292045146569,1.0494686461720146,0.8960649632321537,0.7913724836296088,0.8961115187259825,0.9029162794268834,1.0755859184330865,0.8566463627335041,0.7891954597607143,0.9878232573772733,0.8164357424824757,1.115177406162812,0.8332418143111087,1.0590410427363215,1.330111177663761,1.089584351922797,1.1424651585823227,0.9122485058139004,1.2256909605841562,0.843211407011672,0.8949118921545484,0.7599849860062581,0.7436360972567154,0.6880438949172588,0.6154155356050205,1.4795607234227948,0.8323655984829069,0.6366247914781629,0.551393202383124,0.566011991027941,0.6927908407975546,0.6650546302091462,0.834963208086004,0.8188571480220695,0.9511538322270362,0.8441245687863238,0.821592124072314,0.7248068819439014,0.8157636375144949,0.7176130065387535,0.7295175685369107,0.7315130299031283,1.0290110478477235,0.7260749204880786,0.8952744204441165,0.7258740509789879,0.7288703201309664,0.6985332055011878,0.599515922378149,0.7877909881354962,0.5240201086258074,0.5667010506750643,0.7953146339013367,0.5020803230352094,0.44226380814211746,0.4192268947482652,0.46000480907888724,0.4610569653705755,0.46610268745450856,0.5332058425368728,0.580631527842724,0.8041948485683745,0.6449283374773817,0.6277725933355942,0.5594977725682019,0.57841916876891,0.447896390201007,0.4181820614143414,0.44792983028783656,0.4174857596017529,0.4652831262229737,0.4192357323602461,0.4656354227617008,0.45881008000871487,0.5035296009684815,0.46446018553219237,0.5465140360520396,0.5611994283058421,0.5186639383272961,0.7994851366265653,0.5124865148168921,0.5285331386968688,0.5013455335706927,0.7485702130655323,0.7753655506325556,0.6558981670173842,0.5254608881798408,0.5209774765840711,0.5250179931901724,0.47893459145861444,0.484606804202031,0.4836142506569121,0.4966574092148444,0.6330965360280411,0.722205031987329,1.2170775165880119,2.1147977374047437,1.2717895308385565,0.9335896979600856,0.6626964990116558,0.6982589494882832,0.5637961563971975,0.5902410928224509,0.48901267668277354,0.5114376734144912,0.47981164655361336,0.48428191871245135,0.5234882756764824,0.5864140886577813,0.5204282659362028,0.7332387353837704,0.8033442687097232,0.777102038288297,0.5611858835708992,0.4688822194638127,0.4959480981052599,0.49225284094120847,0.5097065664854841,0.6173622319696624,0.6144556362305782,0.9071014968196817,0.6232816290595208,0.6604322621025864,0.5945633523475645,0.5148337762571794,0.496638071641809,0.5243151162404174,1.3075592349256728,1.582734345789783,1.7242871023485602,1.759768002856481,2.2635551367940114,1.2724511632652578,1.8105839036264533,1.7349672489484471,0.7601973751151699,0.8792558527583392,0.7262216538328637,0.589593940067225,0.607286873596257,0.5171230325413999,0.5447113606982085,0.5490410174366266,0.5748287230861179,0.6256255592586217,0.5480346274972066,0.625782158832591,0.6972897843600648,0.6706427228715242,0.72602316897726,0.7637841978072762,0.8153967201490439,0.7667967027520511,0.8672604696724557,0.9310157906738128,0.905136067341749,1.0150144620028823,1.0769583074804856,1.0716669021225584,1.22493376369565,1.1240609496176568,0.9406123588674141,0.9849928904735633,0.975939194349822,1.6868170552832338,1.1000543950659039,1.1414223604168972,1.0211042509476096,0.9096037768335375,0.9249557994735926,0.8990791594450003,0.8538560314731083,0.7150543404486628,0.9095574605518101,0.787375363227324,0.8865439302993252,0.6993987240156455,0.9808640779134736,0.8951439246934301,0.9117453633517315,0.949167481879363,0.6624068568366279,0.6344994814245913,0.7203375331462099,0.8695205411872905,1.0236427136216997,1.2526426855454056,1.1773325412470976,1.0094835362000827,0.9367714405689312,1.1161792597822364,1.0039134285743099,0.8374890825004809,1.058772855691945,1.101291766342596,0.8944908654012133,1.0136424392058567,1.2264929206476616,1.1123308095715068,1.0188814206954537,1.1189271767892675,0.9978564384644891,0.9639187219091233,0.8847406013887956,0.8836082776379955,0.9285628944572898,0.8313574341629351,0.8369102429863168,0.854743602745261,0.8753029455827233,0.7631687096667944,0.799499452195637,1.0001126398149696,0.9340574833380269,0.8791671171978335,0.930370383980574,1.294112224640735,1.1751197972588887,1.1506898936281904,1.2800575635912894,1.4076192260095037,1.5611934297111691,1.178181154158844,0.9996505775604116,0.9042537757619427,1.134197735640036,1.0628799059025422,1.143490563867963,1.055704366698711,0.8581743113012145,0.6505082016760426,0.5052087922495762,0.4729678145934253,0.5375253847545569,0.6041565047914951,0.7947515118892501,1.496254826792085,0.5956416403586917,0.7591376646123605,0.8486666596901239,0.8125986404778683,0.6945649714011091,0.9189949088534081,1.213045310939533,2.260296176545372,3.5249706799741474,3.6065488270016286],[0.5858940205362599,0.40005262451672396,0.4913448123350321,0.37951664301710314,0.4524120256973194,0.42421151599123025,0.2982856696473325,0.4338690163521637,0.35385793395969056,0.34788977988059494,0.40217203009746694,0.500317091584482,0.4247933898343136,0.432378572793536,0.5880180158649682,0.5461101371475678,0.550788710981864,0.6119226667655558,0.7714036688993281,0.7186627115024018,0.8302580943282598,0.7948632085338029,0.9970000949994698,1.2235354187797105,0.8188852475187964,0.8210368965593035,0.6920355420401986,0.5490915698460551,0.5532996054824803,0.5362624759575616,0.6840413176329915,0.6228794693252158,0.82287721690158,0.7954519450388443,0.6778926040242639,0.6004177143578219,0.5674134308304201,0.5599265719549371,0.5454718954586384,0.6251779762130341,0.7781480070698134,0.7343409031405359,0.7207015411358605,1.0543513491037044,1.4602950926901976,2.6735345487413475,2.6691774301565556,1.4437178062063853,3.050820400198093,3.4341263044766173,2.021209211304714,1.6433631520532737,1.3082759864152065,1.2335879278923465,1.2045493593411016,0.7606748230849728,0.7522423616550746,0.7908905308137613,0.9857587183795866,0.973551022864116,0.8162667613789745,0.8658887229106306,0.8838534206899092,1.0699993665643304,0.8700479422949562,0.7799724978946453,0.9856259595219136,0.8037119688233711,1.1303504222728915,0.8593780579612774,1.0780650872031454,1.3094694895169483,1.0919332629007752,1.1257350563190847,0.9100523135377906,1.1691409409777425,0.827997842090969,0.8579584832543699,0.7179546414757737,0.7089521055169029,0.6558578595081449,0.5965813044841646,1.4304874230309073,0.7176601561982413,0.6662091132928812,0.5290152865686993,0.5716682298364013,0.6437111000415191,0.6433546484803725,0.8123620120913325,0.7903835072850409,0.9748421574644374,0.8417185338260469,0.8052425536738261,0.7215218621061831,0.8118452833621412,0.7151710094604787,0.7233790325343847,0.6926878679178886,0.9432181456639638,0.667477905254851,0.7965961705830903,0.6686739182577833,0.6348548006897967,0.6046486802425528,0.5498276717687648,0.7323596993543985,0.4388628771426075,0.46370573035813056,0.74272915946692,0.4049647661270612,0.36322310096716964,0.33967794085243025,0.3888289360110608,0.4243920057889902,0.4587146392191893,0.5371785671833522,0.6098012048895599,0.826982912772167,0.6376022505783573,0.6149464394829169,0.5687713261669356,0.5897949071753924,0.4209969194932917,0.36399028896422353,0.3908807322117441,0.36418771818361445,0.38968174306568554,0.3480230263960856,0.39851945885994056,0.39476481564181887,0.4350098603482477,0.3969610399061582,0.5027175442444636,0.4637048707736728,0.44518073084734167,0.7170701353303383,0.4862815786308018,0.5004178354260037,0.4978349440889685,0.7716477141493316,0.8239411195075684,0.6786567389993373,0.5237891664747792,0.5197451515660269,0.5350803951123578,0.4638785127285846,0.46905951812289204,0.43478737356991753,0.44379824925828093,0.5457593575609547,0.6292323932131975,1.0940276477728692,2.0449082075008236,1.244748890125241,0.8643098339550889,0.6193824285281971,0.6328217440079275,0.5303679345936484,0.5365742021442429,0.442392426658637,0.5038306465909922,0.45361997884224214,0.48081376460341485,0.4637723341655148,0.5876700763974998,0.5213478401553973,0.7656349560494153,0.8017070488007938,0.7670730670654214,0.5237904804266861,0.44104752464187025,0.4341866435148192,0.4439520376790913,0.4597185154670748,0.5468688063050792,0.5741673783588096,0.7935613054063668,0.5762856112236676,0.5701753910034943,0.5554350758716292,0.4478276113190699,0.4282803541348625,0.47781641331896474,1.333202894638487,1.6007139166048632,1.7450734181692993,1.7656312379014942,2.268206982043062,1.2985118870522212,1.7939065007045825,1.6546046600204314,0.7450098629447316,0.8020791834144766,0.7004490713204347,0.5917725747819337,0.5562673097769923,0.4492256094161092,0.468656582339073,0.4637413067529644,0.4274810753422255,0.4739723785484897,0.41968038212771336,0.46222181151932673,0.509577652523154,0.500314292481835,0.5601387541108208,0.5610191152991324,0.6353690572450195,0.5711400914168835,0.6705416420187897,0.7273999905129068,0.7143671461349576,0.8102581510359379,0.8868048015178359,0.8695710046888716,1.0885574854605666,0.9084206399778939,0.743053839997242,0.7882769497323091,0.7831141272567785,1.4407732941237383,0.9353357890238329,1.0532906893081289,0.8911576754301402,0.7667835313433472,0.7683597806863346,0.7187265942564595,0.7335995589331459,0.5453281348304306,0.7641071182651856,0.6332639020077306,0.7742185760317649,0.5639866112290031,0.8733357612559772,0.828166538913662,0.8346406002320726,0.9494009667577245,0.5392736081229011,0.5230317447623168,0.590288399914257,0.7160583139008111,0.9068250694246157,1.157618826393514,1.0712424851813178,0.891194723703358,0.8014179916454808,0.9905861967684649,0.8971002095131353,0.6893121174149512,0.9157022462338184,0.9827708564475326,0.746215553437244,0.8671819881091174,1.098862764900077,1.006466799726674,0.8358977274237597,0.936033257138395,0.8173988029424177,0.7834604297889253,0.7115946343807037,0.6863345833565452,0.7234668163614139,0.6377787227904858,0.6430718982873056,0.6520981762058506,0.6865724499660785,0.5887965804462151,0.6216043439860673,0.8388114567747174,0.7578915205135299,0.7614015748136556,0.8005697945066298,1.2098943252454533,1.0519704111230495,1.0074981431821668,1.1589610218655146,1.3107388408878278,1.3907741324658704,1.0016618310684602,0.8079643890183832,0.7020023229123898,0.972410676655917,0.9263380777298951,1.0341536687688404,0.956927244641173,0.7515293237206325,0.5594063829924786,0.43286171791452605,0.4289245726207965,0.41951793380885777,0.4252814412529858,0.5865719564700212,1.4945052368272842,0.44602236672719153,0.52743739331328,0.6496998900763309,0.758290241572902,0.48621005449337634,0.6625081767127186,1.05279336632108,2.235428599357699,3.494070137030136,3.4828232972632187],[0.7146358207100051,0.5828386783106958,0.6436447820729579,0.5059701238063472,0.5293789180995743,0.5256041562427316,0.39167976518910247,0.5150877093618098,0.43176943015690344,0.41431724262033726,0.45249734341446474,0.5509369018871755,0.4715573896948578,0.4750446501116038,0.6237215072434984,0.5681109087669711,0.5535783041961934,0.6280219520108824,0.7860007376971964,0.7344572136925376,0.8410518993369184,0.8126491534595713,0.9668088025683291,1.2058504064319457,0.8254579443428209,0.8304760750382749,0.6916464283602201,0.5809876928010362,0.5792100523935773,0.5523041250268825,0.6964939534447503,0.6136370906418382,0.7999150096746352,0.7754186117368315,0.6680856790488977,0.5979678794256295,0.5831986172090886,0.5713130038332583,0.5556425754739406,0.6326594406646128,0.8081582309389108,0.7433086557422727,0.7476834571886719,1.0894555514788002,1.535408550769584,2.730770442438226,2.8194108730226115,1.5642874629699701,3.09024611708838,3.57089832555037,2.074313797458608,1.7116627834226217,1.343739846663233,1.2253871155866478,1.2153387634281079,0.7677766422661249,0.7568314370003926,0.7759551210628196,0.9775234402431691,0.9674176760298626,0.8045646781325795,0.8405572933598133,0.8541195191296022,1.0211927907114315,0.8412434311919169,0.757196644750393,0.9647113913169634,0.7938354357177183,1.1375295033120059,0.8885225472553592,1.0916180398809732,1.3117467741609705,1.1304979841550786,1.1033154499289155,0.9238870441073632,1.1826264245218139,0.813334854731509,0.8653261611889084,0.7104621501649679,0.6941512733876236,0.6628453541759285,0.6022696188918873,1.3499643163851536,0.7009506080668161,0.7151371880253252,0.5424133634061378,0.572897183933119,0.6507123379514753,0.6377252428380471,0.783349205969642,0.7749498692257322,0.9831679627168135,0.845203905611158,0.8052029489506677,0.7280322663388453,0.8256762502916963,0.7349477021270016,0.732535310144098,0.7207271642365775,0.969787072217049,0.6989321195998519,0.8617807510958475,0.6755487652215101,0.7222532560315004,0.6887044869347033,0.6496715695357809,0.8091377224718319,0.5255412861843117,0.5516667460619974,0.7986753342915844,0.5104117002708926,0.4507143729548046,0.40332367735489755,0.4597789290181,0.45081728776187846,0.4729204851692875,0.5845215570276762,0.5886910921995943,0.793964809720653,0.627646793880652,0.5986890649394611,0.5646300731085911,0.5912633848506127,0.4581433247492266,0.4482265966037827,0.49151586587807794,0.4630390506273498,0.47275995796433545,0.467303417416172,0.5025576917077911,0.4986931622116057,0.5239901630106746,0.5003838230405944,0.5661288193591157,0.5832571222097933,0.5621372566444437,0.8375357473883231,0.5598005879241619,0.5193584596350984,0.49652777801641246,0.7383639034528485,0.7962749410523842,0.6638156308719495,0.5307127054662765,0.5281385815475452,0.5313283014773722,0.48509344058517506,0.5182478598772611,0.4925573565741824,0.514390359323591,0.6222909660337846,0.6961573299591577,1.1391558217679074,2.0082322725372386,1.2650165319115305,0.9061359897203575,0.6653841993165817,0.6889909589746905,0.5818597229765806,0.6082629595337473,0.49713727611431585,0.5169212062755718,0.48830371075432066,0.49556128513695624,0.5357613855271233,0.6804820063229379,0.5938364464938339,0.8296501314709372,0.8767280309213438,0.8244454965178016,0.6140885954206057,0.5105373779692515,0.4930362000026086,0.501304805140381,0.5016748823582574,0.6022237070375352,0.6173807705795554,0.8468515315414109,0.6205961536069359,0.624021814173581,0.6107947675895105,0.5304040673715912,0.5226963758870226,0.5633559579512184,1.4733887575425992,1.6197247744400936,1.786486185277657,1.77878548549664,2.2687868077696565,1.2892474010005397,1.7319672320690083,1.645577650443523,0.8302281189553798,0.8894411914924366,0.7737128575901757,0.6544691109299338,0.6599800238924584,0.5613706872662527,0.5666170526833871,0.5561712008424071,0.5482949310582013,0.6040484100833496,0.5321553191706795,0.5725507707560273,0.6282340649740135,0.6283115869853454,0.6403780412546747,0.6701906454101352,0.7637662142447652,0.6738481314944821,0.7635005005379104,0.8586694536849824,0.8459669429730453,0.8756448968802378,0.9912674372054747,0.9505431822388873,1.1919476249236434,1.006830391015897,0.866241336024703,0.9287374838447432,0.9290109435216813,1.5206296225940275,1.0715778368214328,1.118599651816414,0.9970501954309049,0.8712805682188652,0.8428339653353752,0.8061555501384092,0.8652579662322162,0.6942000777982502,0.8599658483369382,0.7680849083074489,0.9174104326379708,0.7086834417902036,0.9289876987584049,0.972097842594387,0.9320772278254092,0.9924469857105271,0.6457058905986777,0.5933033793546068,0.6553335656658643,0.7865138602713037,0.963472399670269,1.2131051182625152,1.1350434652146073,0.9680847877645533,0.9064001355699278,1.1261323970999928,1.0057900514792069,0.8192998336163907,1.0663534628578617,1.1457530375682605,0.8982703245120178,1.0212605710504927,1.2498891642890522,1.1834738577919164,0.9920166977225351,1.0958285462856072,0.9671370636158519,0.9355224822426099,0.856950255272714,0.8374785834032334,0.8782663550456962,0.7820870932729247,0.7867778212183756,0.7983346113959078,0.8237575665060979,0.7191407325989148,0.757180080800485,0.9649289594205541,0.8611035899526296,0.8572937598807903,0.9160232670976395,1.2896778545178211,1.142093663153643,1.0985009391161984,1.2736176570076454,1.372206702599441,1.5236273651271064,1.0947779330435286,0.8990305786533027,0.7821213777942986,1.063236591846959,1.029552771121506,1.1567692039325188,1.0461162702030298,0.8471081107315572,0.636410508840952,0.5191952207581136,0.5193602362555721,0.5373086467375315,0.5793230773068078,0.7336921274935669,1.5495989292917278,0.6002818499625818,0.6204510437862734,0.7268601218373881,0.9036715672436763,0.5459425188854399,0.7099246690974921,0.9930408172527521,2.012270660239472,3.268519109905971,3.1095594557592934],[0.8077082486253556,0.7393039247046792,0.7996366072906239,0.8150582978040962,0.9106756137885569,0.9430737925156171,0.9554212937033955,1.0356446846171294,1.0584384144773564,1.0865647453308913,1.146268865858549,1.1524694048114368,1.1424056489623053,1.1673985916532126,1.2479776698876788,1.2137574386998389,1.1796710117738163,1.232089818642749,1.3118567837340467,1.288102838202956,1.3509238356000874,1.3368328376600849,1.4399292148869398,1.5869179544050578,1.272174961702522,1.3020374146970142,1.2391376200824378,1.169366800397242,1.2036822485447394,1.2107180713804042,1.2790062760023455,1.20445149530658,1.336757045352505,1.2978083306523274,1.269026526467112,1.2168201614779042,1.2137609394972975,1.1949822540830033,1.171612057117332,1.207193208733204,1.3631641006927608,1.3357528563774128,1.366101043151926,1.7006779109750059,2.021419380205005,3.0452532490434225,3.1712770309878335,2.1050060122803695,3.3830398337769827,3.788834195745198,2.451691648187284,2.171610143925725,1.7843380895123877,1.5700533880199514,1.4850561262691035,1.2995810445129155,1.3590387081908455,1.3188319293275852,1.4275464585224693,1.475066985153349,1.3392745739913658,1.358327197185563,1.3262690148403045,1.3576115800346906,1.301075330166118,1.299632214398601,1.366665694037893,1.314390817318189,1.5163776378349176,1.3370047186157132,1.4666588283231063,1.611155200750322,1.467427833928356,1.4913400105566037,1.3376137558254249,1.595099833992711,1.3104310277364517,1.3450490504350827,1.2688744745031415,1.26127658004978,1.2582414338891137,1.182500157941733,1.6124971557145091,1.191967729997883,1.3075940220351328,1.1812559193950631,1.1898645544581792,1.2786291923430024,1.2166824940644363,1.2847924460692932,1.287960078887306,1.4479100271203469,1.3694632064817043,1.3128807991217717,1.27635005780673,1.3304050262128466,1.2969053920025695,1.2741471608443524,1.2388110982859215,1.3269189943102973,1.21081077562378,1.2850944680750993,1.1887503642595558,1.1895196376608999,1.1311732541318105,1.0793809699251622,1.1959537794277506,0.9917260528948619,0.971646982512301,1.2242970089945382,0.9858065383838422,0.9937940588330197,1.008185637261632,1.0242229009099935,1.0797507018624728,1.0709135093726432,1.1446915642147717,1.1181581780366954,1.243447043818981,1.2163620664424912,1.182626328675258,1.1462034585581804,1.1221168282842766,1.0360731594871244,1.0267423491828958,1.0156364987675626,0.952106049810747,0.9591864266002906,0.9496333300552237,1.0321770146429372,0.9538656962619633,0.9785976782736797,1.0013832971440075,1.0947461275423274,1.0693518003937015,1.069003398736896,1.1511550283868888,1.0141420517948982,0.9912927441825858,1.0339392718682525,1.1278881827759237,1.2301702569612822,1.1387667084286235,1.095757966772939,1.109444648768463,1.146601880587226,1.1036002441855004,1.0990315807996842,1.075889323723082,1.0840809586445876,1.0981527919600516,1.1416918968125964,1.3508555072819228,2.1240923404718757,1.573415102220205,1.2625769333573331,1.1694727991039857,1.1647276253800336,1.110810670489345,1.1027028327703148,1.0715240929634715,1.1105083251721566,1.1027072417220423,1.1113138203769515,1.1274082871910633,1.1397045090518085,1.075903556236706,1.2146248409488483,1.2506438705936287,1.2040928246134488,1.0710249086265127,1.0514513031830088,1.062026396246571,1.0842163477066915,1.0925595912256814,1.159493298979711,1.1931054262520082,1.2941511923963605,1.1581638849888163,1.1470306323571877,1.1335796848032471,1.0907180041844784,1.0972836638195584,1.1307195697910375,1.9081499186233681,2.0510850520584243,2.2134409208505224,2.2557402741782946,2.6183757961265224,1.7188720632406032,1.8895515872270638,1.5917454866365486,1.3528402919066158,1.3236252428681057,1.2171870262467557,1.0487099180816357,0.997833098694567,0.9393942935893377,0.8934072426728089,0.9352481132814231,0.8236913688444242,0.8604143168067511,0.8507144692355232,0.7868751498499661,0.8000202506975529,0.8295939331339495,0.7921812516578035,0.7632316010047397,0.858836604002123,0.7942399540937753,0.8075320996055794,0.8806877209261004,0.9155559394965342,0.8697368436487547,0.9546024676884348,0.9166969156578558,1.1614736481562868,0.9447082886232238,0.8416086577545446,0.9015134232298592,0.9037348634413721,1.442262722168343,1.058482104112498,1.143891278582462,1.070838429647227,0.9709868346340816,1.0014548770831693,0.934193182285617,1.016072377470326,0.8144144880774451,0.9029860326978919,0.8838853997202717,0.9994180455562435,0.8280906387541137,1.1041485782798395,1.0789861634178717,1.0652426201746743,1.2986074830607237,0.8940978007467397,0.9392443486337986,0.8957743302617958,0.8973747919599319,1.0887319536826785,1.2575067777030762,1.287435953295009,1.107781122199329,0.9937994814348664,1.1851980007595964,1.1573215030560808,0.982920206098317,1.1374144391627374,1.2209025838962995,0.9935159897964038,1.0602109285227606,1.2695331745605996,1.2250172659209067,1.0095331814826067,1.0778759400111824,0.9593232661731411,0.9280703398795219,0.891329871754757,0.8594159376825806,0.8605776889846838,0.816643218489789,0.8227050191806694,0.8122882493746358,0.8227223437274735,0.7936621405293939,0.7994768469223472,0.9257387426686563,0.8866280868282802,0.9849878917263691,0.9853403624558162,1.3168298150067033,1.163620211774588,1.1005560310125417,1.2360364841629088,1.3507203523703988,1.3507992931444126,1.0262889884739805,0.9047139806905451,0.8246989279999588,0.9849036172960438,1.0179403321375862,1.1261893958103217,1.095524273437204,0.9360056105400055,0.8717803865985108,0.8734926120845031,0.9335276996354683,0.8450090103406039,0.9045940288728399,0.9528597379788455,1.7239469715195521,0.9513117129621981,0.892601386085169,1.0032199239099504,1.1187373062967614,0.8570115786312461,0.8632005228493603,1.1963916870177567,2.2934441955938634,3.3686889460244163,3.2106203456873934],[0.7907046981484586,0.6215801399215727,0.6665095139791939,0.4870071190977389,0.47378711952174396,0.45491516840214585,0.352391690163648,0.4738927127921444,0.4175760935168602,0.42956258040083056,0.4951115211192283,0.5390647054518816,0.4829326917145178,0.5497453966125906,0.6750057906721777,0.6009463384661152,0.6140395595149539,0.711472566913884,0.8672332321899283,0.7844401083064083,0.9050465317967542,0.8933150896759234,1.0989299809559243,1.1985259200722844,0.8514204774279116,0.8612456177369582,0.7433936566684457,0.6279335498091391,0.6203490421632865,0.5892796758501609,0.7226057983627184,0.6194044748151188,0.7691788580732728,0.7733642613624172,0.6656698625815888,0.6442853342797713,0.5833337498544827,0.6137349251270987,0.5999307626534216,0.6541179888796784,0.8792893371011136,0.8443581016041851,0.8823386279455535,1.3228142820011686,1.7723980229546186,2.907103354129629,3.1252146821180142,1.9080330433974717,3.233009278503943,3.7688120426870144,2.280791948088175,1.9192599747533532,1.4168769971769177,1.162270211069265,1.1103478039974217,0.8476140094194383,0.9033637175417804,0.8883653762646543,1.093737577820429,1.0860362453778525,0.9089614772515539,0.911122913434464,0.868603498452612,0.9616623397259927,0.9025904721136363,0.8173147255647795,1.0097843827918915,0.8562900357010644,1.1516348685301538,0.9458008830162536,1.1307032063619618,1.3801316146162257,1.178287155955903,1.1997139493353295,0.9480559152150939,1.2313613887977444,0.8486813493904045,0.8519008533365499,0.7259989437712807,0.7130623569316719,0.619778728060953,0.5804925024443277,1.2406042536191222,0.601587557909394,0.8197616750149621,0.5454804870043307,0.5935727697652908,0.6467835349114742,0.661718549152957,0.7827654905922886,0.7953498499971131,1.0051926575994399,0.8718647888268135,0.8123684021406322,0.7495867757605377,0.8563239277244734,0.7650724339623939,0.7175077021975657,0.6716944226728592,0.8855770950261801,0.6293197484412478,0.7928798737733582,0.6017966343677146,0.6438316566337605,0.6155118234635105,0.5561323193696514,0.749771153692481,0.5090175501964629,0.543868610493162,0.7673964897821849,0.4973678684110339,0.40989488660260104,0.37100710275910503,0.41873906573990094,0.4756077041277163,0.5045106967313192,0.6120811269272066,0.6706583946959405,0.8954137923507538,0.7787113127472783,0.7616550371003019,0.6486244821940342,0.6434863241895689,0.48613339151956264,0.43000018862083095,0.4777351898960792,0.42031682585518987,0.4533414840462847,0.44691569451673346,0.46676685949536334,0.5016735419245391,0.5207404963025432,0.510407673133441,0.5122155478557782,0.5937441195803319,0.5699756226218935,0.7990204879688566,0.5622882623262025,0.519383913754364,0.538105824982397,0.7826876872995624,0.869389318575046,0.718124579670744,0.5760138803801491,0.5874580182672636,0.5681451676570598,0.5048255547467553,0.48311982609197285,0.42458171064423106,0.4766769619180682,0.5682404977173824,0.6663948654531362,1.0886284416765721,1.9274571198411774,1.2514195684561362,0.8341827176919936,0.5991613242325946,0.6228066020001048,0.51048110246393,0.5144719278804865,0.4758910314541718,0.49843163582270106,0.5134054049297998,0.5001534807250959,0.5973491453537519,0.6994287113921392,0.6444423969164701,0.9464828634332703,0.9967489411693387,0.9118879201118955,0.6559217521455525,0.5418414148909465,0.525921606867057,0.4871228409347942,0.45344769735514434,0.5278117016840965,0.5665453806704116,0.7675424601393205,0.5315449595142616,0.5506355970364485,0.5503482876028604,0.45979426094068937,0.4796529442486003,0.5858113451963847,1.689310735130881,1.758371112068133,1.9384271084950055,1.9347633691329762,2.3464108305019575,1.3913166740145975,1.638386852954172,1.4272932370519884,1.034554745748069,0.9887661499698599,0.8716983726376981,0.7305267172697398,0.6816585810218282,0.5885999748572108,0.5996393581136361,0.581794659713417,0.5854365579998094,0.6060321924020691,0.5485706168618109,0.6164448959986433,0.6884417814190851,0.6833365856349901,0.6791821574872305,0.765434109036335,0.879687403555836,0.784477425213623,0.8658226721991962,1.022762514216125,1.0222192866522948,0.9887070858399001,1.1570856803634282,1.0537776435373747,1.3798392830762949,1.0841601210498757,0.9580688979379819,1.0931069705944196,1.0988905612919007,1.6700306987336269,1.2073456237282731,1.1768068761247563,1.0777046834192094,0.9527769569750627,0.8950480220343954,0.8460744990536729,0.9489344039431789,0.7521013982588914,0.8430047550895052,0.8383687613101767,0.9931343883840285,0.7624516131399055,0.9128237098772426,1.0553433409308857,0.9679236375486626,1.0508823313856965,0.6868209783700486,0.6361572187513967,0.6745674178472035,0.7805677030323208,0.9401889833220214,1.2168546327853895,1.0868348929814609,0.9360589262484764,0.9176029149977484,1.0891921740206607,1.023536961601979,0.8753270146265695,1.114341890779133,1.2117643294169214,0.9818937671773001,1.134731433280743,1.3578185627943178,1.3321434818588789,1.161448650991455,1.2601481464846438,1.1104197759691317,1.0466208501081273,0.9277434636166555,0.9300564946660276,0.9945252995038588,0.8823076622403755,0.8443282175101307,0.9080263346829058,0.9349931098551204,0.7853113345126631,0.8474197784004616,1.0912421032275643,0.9344802501309992,0.9000419789747319,1.0101142288281528,1.3624764415514243,1.234410813573751,1.1660884056065612,1.3200024366339076,1.3841323081352008,1.543321872116458,1.1034616516986275,0.9289948018144981,0.7981267947388087,1.0046068104962809,1.0080712062941335,1.1527832703771346,1.071879237347834,0.8669110644698328,0.637202934092216,0.5456061526308463,0.5102971663538621,0.5445476827363741,0.5885105605867234,0.7550411562155699,1.510588483831965,0.631439358920061,0.710221699970609,0.842092208217374,0.9075587068530095,0.6522826608612999,0.7810323786218559,0.9810284044331612,1.9325167628546993,3.0559694906585144,2.815245347560702],[0.638116740352658,0.48045374942550845,0.6139311655708846,0.4617781154042911,0.4848962917217558,0.5217490722972896,0.4219500899893386,0.5401646136075003,0.4544094896694912,0.38727901012930444,0.4156399511310442,0.5298957364651867,0.4204617415150027,0.39860477023845936,0.5218652216715285,0.48519337908805893,0.4898622190552952,0.4869830999834369,0.6061585332188902,0.5499645266487523,0.6447437895124823,0.6489490295216844,0.7961352606102131,0.9896361218412884,0.6375171333970072,0.6329400474316588,0.5274073697160478,0.44191621894473204,0.4621123701548823,0.49252295698565196,0.5693107246409561,0.5535245145725334,0.6630894379275203,0.6506220291054065,0.5558898562207903,0.49710021116262354,0.5152577705868067,0.4666079435277259,0.4361302975029123,0.4740626298859403,0.7031793472064443,0.6188382876753956,0.6353397616972322,1.0957310972718803,1.519054957726351,2.6795993113511636,2.873953507224494,1.6666285250158317,3.0832346010971,3.700040247243495,2.0725169603558764,1.7634736358069543,1.2400679725404014,1.0707627092699818,1.0793344815371428,0.6321780315875245,0.6683670562463822,0.6582627504381318,0.9119290541276944,0.8840505826679905,0.6863303063465165,0.7131226967634378,0.7185718076780248,0.8019951820739872,0.6819596261542273,0.5999566419076038,0.7958709850242197,0.6223212805847491,0.9683591799762346,0.7563876634701797,0.9735437867694067,1.2050360153776463,1.043978399222694,0.956362944071966,0.7602715829639605,1.036450679867232,0.6489471628643688,0.6838864320312952,0.5727526954209275,0.5559023586454883,0.5048233173749317,0.49898768371837326,1.222090504059711,0.586718676811809,0.68404155454349,0.45135766160886753,0.4570334343929548,0.5670943214374884,0.5224570096744927,0.6322990916896749,0.618812769249184,0.8087047302801262,0.6805607074590331,0.6543522999677877,0.6076569280025534,0.7050239614999798,0.6360437700686682,0.6414080914274192,0.6312704592454346,0.9049857092518538,0.6449769448585382,0.8274487512988059,0.6378136186496292,0.6862529548425159,0.663907549903005,0.6135043614737391,0.7854526816175544,0.5536726957255345,0.5732454189996296,0.7723443608857261,0.5325365116904225,0.4466469411865162,0.422931515765724,0.4083887778842843,0.4116614803895429,0.40713495466023697,0.46726598743793507,0.5240734452906817,0.7183306533478832,0.5616955570396459,0.5330512925214443,0.48197002452237075,0.518864902548971,0.39755564062705384,0.366656472482434,0.43728602892155854,0.4354537780722265,0.4679209862187858,0.4793903912909249,0.514091180786193,0.5207362489937303,0.5579074485813964,0.531179020382364,0.5514278090933696,0.578056699533075,0.5519706016240984,0.7700206687487064,0.5133166262713478,0.47582931700998427,0.45000959588608014,0.6907796877039935,0.703725776293987,0.5482981535396557,0.4473622331057487,0.4432275716620394,0.4382456182343935,0.3939737475306169,0.4337152719398739,0.44057516576706907,0.5203995574827034,0.6300588227580968,0.7146341823972322,1.138646056050717,1.8736231819489404,1.2368915430337453,0.8701435278983345,0.6370854753456847,0.6625604089623848,0.5310391596957387,0.5579062771818339,0.445783003243735,0.43247687809028207,0.4137999757175791,0.39999330867447913,0.5061077248582683,0.6499030609692195,0.5673061531407222,0.8488529824635592,0.9278124790096024,0.8370979411569809,0.5951431379804989,0.47122674288910366,0.45714132916009337,0.4765386862341196,0.433728620589696,0.5316350043963983,0.5468128503982058,0.7732211390264827,0.5233318838112294,0.5598690707567966,0.556263490423039,0.5119797542916001,0.5259848887317832,0.6146969411145368,1.7101179480391655,1.6977641248282969,1.8535687748653586,1.810552267297087,2.2917595615536204,1.2451059304741414,1.5981594179259302,1.510338602277779,0.9477988595330933,0.9469554423433785,0.8272349787695521,0.6913919587423542,0.6787757694014757,0.5771852908127206,0.5730268568405513,0.5814339142881584,0.5599900051900343,0.6099896219183218,0.5515291060571005,0.5784879686483011,0.6463754584618577,0.6512659429049318,0.6291823667989429,0.6787288977306392,0.8179689526876763,0.7107760689571155,0.7575451033718312,0.8891566424317358,0.9165295557211691,0.8582654226305862,0.9745449360753659,0.9017166870770149,1.2096693976207729,0.9469375085239545,0.8139267405718406,0.9214805991491308,0.9329527745664312,1.5153142727324243,1.0518012054311892,1.1247948987199907,1.0235820739064536,0.9131325284242408,0.9045513317057039,0.8050606083181886,0.8897846308756469,0.6998785678789464,0.8420022014026743,0.761818770006014,0.9103577267807859,0.7095596906655811,0.9057473062922178,0.9786507733947029,0.9123527308991449,1.038434626364804,0.6417449519536915,0.6142064942758205,0.6798951606721543,0.7969807043020252,0.9704042793394013,1.2456128682529817,1.124321691611599,0.9812336532531885,0.9277452785870243,1.115724096464766,1.0484639761967212,0.8738173439705599,1.1139219531780462,1.2155910801313827,0.9651393393691861,1.1027995919632523,1.3315646711356088,1.3002607653451823,1.079412737147086,1.169635188686287,1.0168381753452052,0.9796698495605781,0.8885526302690527,0.8745363565721439,0.8955159221697232,0.797754357907977,0.7895807079423607,0.7929432555102117,0.805345367317802,0.7031877180079636,0.7475065114825264,0.9567527606786722,0.8306836350804762,0.8305390866340302,0.8977759274601719,1.268684150057052,1.128821507398278,1.0783990424880496,1.210035076519429,1.3056623401676228,1.4611821690385136,1.021764017743465,0.8374188262101021,0.721218132106501,0.9872677049235166,0.9855155572518346,1.1118121461589612,1.034104386474491,0.8230775046118297,0.6185990284476266,0.5381378803521241,0.5111044301891778,0.5515815453612426,0.6009991312803432,0.7442506709225322,1.52133658027679,0.6329932733308151,0.6811914419780724,0.7807709028787547,0.9044966329278542,0.6148741480300216,0.7160774505282446,0.9124830568466018,1.8800544970738502,3.000053158856172,2.7249639634626086],[0.5696715287286885,0.3699212014234273,0.47602054274325345,0.36154342681609086,0.4149902310841796,0.4014499338249693,0.28774081423167774,0.44341492171544084,0.3534781401383925,0.31423643316378513,0.3544556496526655,0.4433693777859604,0.36358690073227445,0.37501709937170197,0.507938052211253,0.45397690652237815,0.4529297561358359,0.4943626003303176,0.6436779695946645,0.5759092536510475,0.6830748706920137,0.6688037811906712,0.8349365508810257,1.063882735086726,0.6865338137769612,0.6876227355893119,0.5738804353133344,0.461023093348565,0.4537325956791813,0.44946906771920114,0.5460907568178077,0.4955221849694943,0.6487141214534081,0.6271305500120298,0.5253581278420595,0.46575078244861945,0.4705471334205533,0.4421075340434275,0.44258720839916976,0.5245345338108159,0.7382088293954112,0.641949591057925,0.6432436164201047,1.0692709868560462,1.5121318076207615,2.7141893194715707,2.820407026621563,1.5848393702319425,3.1119221505376853,3.635503948859691,2.07812299282224,1.742126201910882,1.292382420865187,1.1294389808324108,1.127153058972373,0.6611419072805267,0.6717002248965066,0.6585702487285822,0.9029687643915552,0.8931061580423731,0.6796222928589866,0.7158719425552204,0.7144451179712519,0.8525502674654633,0.688857954020291,0.6286105652140029,0.8375200071365131,0.6444486058447103,1.0115134128798562,0.7488824292644747,0.9839260758373379,1.2081160507372508,1.0346734467458352,0.9871666793394843,0.7611049448962044,1.042573793467009,0.6523265687688159,0.6770474147155634,0.5604232812874023,0.5548718890487485,0.5108087185305893,0.46970229234223837,1.2576323553801034,0.5923114420639637,0.6766145346807249,0.4292473174493171,0.4324932737342757,0.5248027785468447,0.5014307570112715,0.6213696678999909,0.6157498155489222,0.8152337928911454,0.6695804480721252,0.6343884112623042,0.5778744419605751,0.6777599286255839,0.6097270910887298,0.5958065128451713,0.5779761620525065,0.8520343570389424,0.5754202759738055,0.7514924267151989,0.569916253656907,0.640889941662215,0.5954929092736331,0.5550348063196847,0.7192830871638317,0.4378788238955104,0.4728514876070744,0.7432671764024639,0.4235527024039867,0.35010428437482394,0.31193422029700574,0.3557355589075532,0.3553574096203988,0.3982403357885797,0.4919522373245044,0.5356281713074659,0.7277427804457608,0.5719844003521091,0.5502821383088038,0.4914490884273764,0.5339311290428209,0.3736744879078615,0.3438727170900188,0.39446863321788384,0.3426969818809991,0.3785800716933778,0.3568485537431997,0.4102096648423986,0.3980691037781571,0.44071119501225264,0.41146690308519934,0.4951440704790967,0.48804149693096055,0.4638659955118125,0.7110109583272479,0.4756908368189959,0.46008674265862815,0.436284673768671,0.7128401666427047,0.743054930157582,0.5910141512800229,0.4522290512273117,0.45303545079505453,0.43943795036711614,0.3868087984677785,0.4012173220919815,0.3898434626018018,0.43124434790541344,0.5545149101416537,0.6325966849381205,1.0669844705811184,1.9471726631664101,1.2231487553759341,0.8110337272622502,0.5629185994488229,0.6007543025889671,0.46663141989134854,0.5113114170579519,0.40887883833826955,0.41363337904697844,0.3811763495628069,0.38845016333823296,0.44152499346193685,0.6197100943273501,0.501485987587636,0.7621716744474297,0.8221678594394543,0.7625449002137092,0.5210984910500343,0.4210183632535691,0.40329311940324797,0.40189013109296223,0.39298391398650534,0.5064117507090043,0.519311755981724,0.7717843892782631,0.49749027075449825,0.5477595901800872,0.5158635612604209,0.43413470870549786,0.42638255963147426,0.5023513759351881,1.496178780942895,1.6148165344315135,1.7833243770919995,1.760436274188009,2.276827879401262,1.2718619412999599,1.7125604200673743,1.5902224615316627,0.8242249783325869,0.8543768604905831,0.7574495928549679,0.6030477662125118,0.572873802185597,0.47272328034012034,0.469507166192129,0.4643838733955951,0.4158568515558871,0.4744210233819222,0.4108995797390065,0.44381388996571725,0.5037895033896618,0.5144940388240143,0.5265239023601277,0.5429380190112426,0.6635305718817276,0.5716013696238953,0.6448319730741763,0.7414167986538942,0.7627613800754023,0.7637734094261934,0.8650349703664915,0.8230533033818428,1.0843865179084662,0.8562280169021932,0.7056015247493961,0.7786740570115792,0.779214022169332,1.4038034365505652,0.9332233959287216,1.020177291807001,0.9204939942769179,0.7643153022269061,0.7677118621572095,0.6943282337660887,0.7427957678523285,0.5331357462988312,0.7344415635307096,0.6263092712655808,0.7774035662550169,0.5675352254794405,0.8581683833513386,0.8476239808196986,0.821772983086194,0.9751269852691012,0.5399484620624851,0.5189347043138798,0.5716094679341591,0.6871424728202982,0.8909226255979711,1.1227851246677718,1.0647839621463226,0.8877293702297121,0.8044642383202987,1.0117345082571274,0.9256706844078653,0.7240216346042107,0.9667737894493744,1.0585234657260059,0.8070558857668783,0.9270986872997878,1.1714948741357412,1.1145070041506713,0.8959173026929937,0.9852651961364399,0.8512544686412633,0.8074555919331675,0.7263526453680335,0.7005189329493053,0.7312898493794643,0.6383491001767579,0.6390442498900153,0.6431840504941524,0.6691732964762487,0.5622730836899873,0.5921500945283615,0.823744012296556,0.7186893749986963,0.7298427243455032,0.7642558950023238,1.169228625245941,1.0085508176802402,0.9629862509093292,1.1028517835370757,1.2496190567092762,1.342050057451486,0.9366041713454418,0.7617032724460393,0.6479564816605252,0.9104879862260018,0.8876572679688745,1.00783676771686,0.9489929209990575,0.7317234088650577,0.5351705229559247,0.42735646659182036,0.4198042598142982,0.4109685467821168,0.45032587328567547,0.6099072704625064,1.4732763546569423,0.48767937235142816,0.5347607896837228,0.6650259287502662,0.8218697746545892,0.46883580092338634,0.5887616962702339,0.9499348166543563,2.140525572125349,3.327657026886768,3.1069188451934147],[0.5850538186225035,0.3971590842886572,0.516622476010674,0.4182027474803108,0.442357126121454,0.4425244707184719,0.3135570631470149,0.47925338290895575,0.37216602416384387,0.357087763866725,0.38996601417518567,0.5067925213509021,0.4163342113162679,0.3898424389085811,0.5479521942453758,0.49855704435760867,0.4913926145620457,0.5417217597105327,0.6512839741681871,0.6072003127134469,0.705695808160033,0.677466108465828,0.8086878104393502,1.038540654242494,0.6710537899640361,0.6783661106976215,0.5746271656494213,0.4764407241794021,0.4903149035724591,0.4987624200481477,0.6241416427311395,0.5909105573168949,0.7633770382691085,0.7346033500298172,0.6304658111962128,0.5419510633410494,0.5331847308161173,0.4937537824394669,0.4686098206611281,0.5363367245429206,0.7002867277676654,0.6167121203970292,0.6184073726594553,0.9302035008626741,1.3416761536280595,2.542494383254728,2.563962974979503,1.3488115090370902,2.976524271583502,3.45454959700098,1.9105544829576828,1.582272646050745,1.2264423318294198,1.1360912299988501,1.1992949682209517,0.6574640918766731,0.6199997543718194,0.6724626109442025,0.9312311576008455,0.8438981559140495,0.6950474560120226,0.764579547647789,0.7900921413394658,0.9496176936646626,0.7363995976291781,0.6560731066861998,0.867694462338531,0.6992624560063793,1.000566289794731,0.7636678234603141,0.9862605073522281,1.270486931990484,1.0740033033267766,1.0261793767748504,0.8040810441522925,1.1020736022319366,0.7114197883571929,0.7718667589361816,0.6406650594446024,0.6246570186507897,0.6048214795713301,0.5458962720253357,1.3540606924210057,0.7032364103980272,0.6194762693683287,0.4935367435663884,0.5075316655765882,0.6021735715626476,0.5788824857914687,0.7263655628079774,0.6916102976447766,0.8644250042911737,0.7429873187990592,0.7298206757325195,0.6624224128145295,0.7575999359072737,0.6737824332832406,0.6832368472618776,0.6717474361093966,0.9438701598913543,0.6606640613301868,0.8135899490273507,0.6618582408953007,0.676256746204348,0.6438057532659845,0.5924092047824243,0.7524616510780046,0.4577070793800246,0.4844652726778217,0.7498733654446121,0.44172275777260306,0.3832618366580267,0.34827790845845846,0.39212989570912016,0.3996817487128409,0.4156111738456548,0.49698409975454727,0.5164176971491254,0.711155217062188,0.5927608054833996,0.5470299319398537,0.5115333462426789,0.5283603430589736,0.39524101910131637,0.35594110394178163,0.39690373435116083,0.3618725215813119,0.3896963824351921,0.3651483534875622,0.43125015397718786,0.41008461434962834,0.4552582968876889,0.42259320882525575,0.5313162017734606,0.48666611072135607,0.46952125000356165,0.7200382954693869,0.4715489192879532,0.4726345335360675,0.43701212004958984,0.6885382152346659,0.6874399608199615,0.5871371478649156,0.4569395262050701,0.4408063870628002,0.4663280555020541,0.40926757750537507,0.4629946171337473,0.4336509275370397,0.4551540397373223,0.5789647999282631,0.6453990105260038,1.13096712991813,2.009977608618379,1.2382230782044932,0.8763703909290699,0.624076251786074,0.6493844161567491,0.5265524786980145,0.5496813133171161,0.4526971616841604,0.4642813236823787,0.4128464400425541,0.41714631251431894,0.4550813373164509,0.560515792890381,0.4998733089268887,0.7320106406409467,0.786415297458091,0.7542624245633589,0.5222629913416076,0.42885474478148905,0.4355286927236853,0.4475682767925946,0.45753790028018837,0.5682298192909303,0.5738766009415833,0.8134152255330179,0.5624127821589443,0.6112451994257523,0.558158832898358,0.4696566695876897,0.46091175713572635,0.510050844183257,1.409042206197936,1.5911296350641155,1.7516300799497209,1.726894220644116,2.257570362689411,1.1963370525987045,1.714817519624759,1.7038299611492025,0.7272632272274336,0.803010312573467,0.6672778056695503,0.5539443592442017,0.550712838313977,0.4580009991422847,0.4714221717941934,0.48104054372509386,0.4556498559413031,0.517234321043419,0.4396343523970088,0.47088886407595604,0.5278175583679643,0.5193397709640734,0.5697096127899841,0.568241470652298,0.6524585967517201,0.5803701442984073,0.6775068673764727,0.7393776089285434,0.7236223167845279,0.8359637527581965,0.8917277177198011,0.8848060989262037,1.075000463495698,0.9280680791348085,0.7558262492181961,0.7964375933991775,0.7942218667522783,1.4603753302947777,0.9432295704013879,1.0561898113447934,0.9082960355385176,0.7892010852806729,0.7984759718119873,0.7334620900234741,0.7452001975851221,0.5825606921478682,0.8056097325731699,0.6640761128957795,0.795072416227258,0.599456513002487,0.8866754830210688,0.8104860420722738,0.8291547624964822,0.940584523843252,0.5468805492965588,0.5345125032574123,0.6112405702684196,0.7546436977134495,0.9213525986536045,1.1792796127500385,1.0986991350508635,0.9201125678546597,0.8300007902822327,1.0233124790729553,0.9457039246121215,0.7229335126029093,0.9559929368152567,1.0276549072940717,0.7803494063026207,0.8956254980330115,1.1262415727100332,1.02732720705137,0.851744594681039,0.94921070187188,0.8303160027647212,0.7956513225219594,0.7356132353440709,0.7102262118645118,0.730314389620546,0.6416735695278966,0.6753804885608365,0.6572063592280843,0.685767548996088,0.5912094158148241,0.6187464275117767,0.8316897023429286,0.7527943918886602,0.7412093135847106,0.7644080781804442,1.1614232926456776,1.0221337083253101,0.9998013733812,1.118686716026596,1.2830288631566011,1.3870428592081772,1.012863504381227,0.8349934175882302,0.7200747878631305,1.0077741876857806,0.9482225107569019,1.0384690292722663,0.9605572277445934,0.7439283244871138,0.5574688115924679,0.4377109374811989,0.424270786804304,0.43015094873321874,0.46318525177278974,0.6181166050474842,1.4854206697268904,0.47875662424757637,0.5468888324263368,0.6568992430288859,0.8207878072035747,0.4993992907564757,0.6547918198542668,1.0145752384538467,2.204045517572229,3.5032964108345044,3.42317044316975],[0.6615077898290357,0.5100382695998993,0.5766966943029008,0.5278779195508382,0.5381149744333427,0.5282035764011188,0.44025516246409935,0.5198250504578703,0.466536195275106,0.4598418980761686,0.476960345158013,0.5482234182537823,0.4898750895895068,0.5016406531259613,0.6334413640057311,0.5989303217607754,0.6074822642779201,0.6428552858333306,0.7737660538615887,0.7221419724938767,0.823746334635044,0.795266030298709,0.9377108092159246,1.2311056352361565,0.8224392886033549,0.8338154109035752,0.7303967319123352,0.6192431326636828,0.6015296411316606,0.5819205789762848,0.683754612824304,0.6465546330789634,0.8109859036253574,0.7768784560213721,0.679285865959287,0.6329241846154994,0.6096790415858349,0.6032918820234999,0.605470754124422,0.6485766825384912,0.777119311495844,0.7675001954774351,0.761670734428243,1.0764524329667797,1.3988069024576677,2.5688165084773704,2.5762120599096376,1.421901439673465,2.9767412971163014,3.3676472509610593,1.971597204082031,1.6104813564006784,1.270689265360936,1.2187650497342124,1.2102915630275317,0.7644946722745698,0.7844987789579868,0.7911950778867639,0.9785228909160936,0.9996462944920675,0.8458834976013825,0.8736131635585342,0.8883617639345553,1.0394256097022878,0.8780296036034174,0.7916909958198617,0.9595863173616558,0.766044582246572,1.075142058244366,0.8415292110833524,1.0130254562131928,1.2761831353270532,1.0940876472878125,1.1167547997469538,0.8931901115793938,1.1850845533718912,0.8201128631544665,0.8446330919991009,0.7287986859037568,0.7307289812823271,0.6710541993636456,0.630291065370265,1.4329836759186767,0.7016313260598709,0.7274822428041922,0.5663238620823539,0.6082677665640748,0.6443021495377645,0.6752457601167352,0.7870649812322542,0.7722270057961796,0.9436767166298025,0.81650371065353,0.7990276369007194,0.7243372920205164,0.8098436800312949,0.7030676670878087,0.7335833240772105,0.707953645153082,0.9559239129364058,0.6847845235343467,0.8207449863370809,0.6657150149401565,0.6526708945197269,0.6342544091290107,0.5722950231299694,0.7131577441584477,0.48523528371335867,0.507163353700005,0.7420370559012026,0.4718514249879824,0.46761404691250336,0.4622168370523334,0.5195934300921466,0.5318415726084893,0.5651487174967954,0.6344948588285301,0.6683881454055496,0.855164433969561,0.7167505030220405,0.6773830333592701,0.6510778414753153,0.656249618946827,0.5548608380268306,0.4921689984527636,0.5160427856954404,0.47147515712039684,0.4925760793846863,0.4694548808431386,0.480418349954684,0.5134194292978727,0.5202752867700332,0.5154808457484161,0.5433194299078545,0.5754300113770608,0.5711923604676381,0.7992744812081721,0.5892980144364123,0.5971586999132602,0.6003267857886194,0.8299668919002997,0.861221328477208,0.7492480611198435,0.6203479012396305,0.5899705204940949,0.6073966676131493,0.5463035306170683,0.5561210878947112,0.5006805669297498,0.5114644297387348,0.6115100969525161,0.6827038318035898,1.1078326790543562,2.073072655040043,1.3133827576358028,0.8851494985903642,0.649583100703948,0.6701666756218552,0.5471742834572715,0.5798733904326311,0.5229369749525447,0.5577079246741682,0.562107032023617,0.5675563698724144,0.6176008478869178,0.7028625462599423,0.6526234164424538,0.8613686581292034,0.8872050123884624,0.854924735958055,0.650344437457223,0.5686036041915904,0.5464537149673679,0.5585488087301217,0.5346294376601436,0.5821774409298766,0.5982671682246934,0.7793995035264855,0.6171139233309919,0.6048508578810333,0.664697119027265,0.5261972513844559,0.5289614661227786,0.6306447467224225,1.4840714862157003,1.749755065382208,1.8752257280620768,1.900680069588317,2.3171846439207657,1.314029357582811,1.7148856404332546,1.5951708404065335,0.8663185346513259,0.9064224313484924,0.7761943912881709,0.6521606973377387,0.6421469718989047,0.5541917539088822,0.5564417812397459,0.5742863587330609,0.5234112475772628,0.5434607008745392,0.5114178361314263,0.5510150618017197,0.5622367844258519,0.5589580376242057,0.636998965579504,0.6230902526948544,0.6779699277020902,0.6488181337890679,0.7337109432164579,0.7832193345949555,0.7741020179161541,0.8815398426118913,0.9368438157389867,0.9032327271567917,1.1219714098660476,0.9273456028106395,0.7880874804715401,0.8207158809021765,0.8037013836116791,1.436495770152371,0.9360623055862209,1.0615675424087314,0.908340804031232,0.7661851803689896,0.7891837356036874,0.747390138976413,0.7749282749184165,0.5883536223618905,0.7663821897262837,0.6655535831692698,0.7898973776706585,0.6135250450959403,0.9707927472179952,0.870465126699811,0.8972876466095658,1.0691000369307029,0.6190210300313297,0.5753635809981341,0.6175376888305477,0.7388763620668108,0.9117340054995664,1.1513728662602463,1.0556979964313766,0.8765146072531769,0.782070224007342,0.9796006842794308,0.8795521500342326,0.6918192931556241,0.9052715187753952,0.9741662672988365,0.7660730495969434,0.8666312963457097,1.0851443997275385,1.017277320675225,0.8613558873206902,0.9338605089942325,0.8408836391778177,0.7853290488345489,0.7204635293258217,0.7065876486015602,0.7402837049239948,0.6713702694108302,0.6820179172982257,0.6856090053912552,0.7238077358081274,0.6553227256009716,0.6873273078840941,0.8565387505436779,0.801656849407813,0.8214265868988545,0.825828381448049,1.175837978627155,1.0545409962352945,1.0251611540565202,1.1597081584306959,1.3145570808994709,1.3785256979435674,1.0067661647269481,0.8453033910236697,0.7460400664064394,0.9984895063490064,0.9568143249209402,1.0533439978731578,1.002688714684649,0.8184883425112319,0.6401016043447715,0.5383132006228827,0.5365341111937628,0.5207571560891345,0.4984502832817743,0.6240707937417608,1.497747294071381,0.5180022678407438,0.5943681233094465,0.6895927767979652,0.742074113403385,0.580700415249576,0.7343547994660821,1.1197589435855537,2.376647854116574,3.6038622678785748,3.6418573769070477],[0.6402545820076316,0.4321095727475549,0.5459304050588973,0.4393053969351745,0.43868425348516615,0.47256470242657483,0.2997923617588322,0.4430713791197413,0.339377976585108,0.3164045846995757,0.3671849370204279,0.48811585192361046,0.3960803407699071,0.3689666820569091,0.5624059829796607,0.5119253287199124,0.4874771708764367,0.566823727407411,0.682364382654798,0.6396548915004611,0.7511630855486837,0.7049172998860523,0.88560978801979,1.0862421862115714,0.6919092492871023,0.7028821842254859,0.5953450456958744,0.4923002406800081,0.511607416246682,0.5297371570604921,0.6439988715907822,0.6039482333060345,0.8031343018015684,0.7720426704083475,0.6644569982269609,0.5818611966222985,0.5458486301062546,0.5092875007106542,0.48297399037854144,0.5671556716061618,0.7008691805392637,0.6301443664187485,0.6227535516629198,0.8808748448739926,1.231375324583234,2.4508574398240786,2.357784364598772,1.2053183552196827,2.9074056237419446,3.287534575521058,1.8563171028752512,1.5089658365572727,1.2536137753272878,1.1963471528844016,1.2863711228598245,0.7216199430079889,0.6467008195161527,0.7447580101788491,0.9673156484919697,0.8573510306754536,0.742287496236343,0.8321380135386957,0.8473368144082914,1.013270899208259,0.7942998280952315,0.7246536741867001,0.9118447112189579,0.7442120617776636,1.0458954844622954,0.7800523819819903,1.0232698528704005,1.320978142861059,1.0914802730874198,1.082303328251918,0.8657283893074037,1.1818030388411007,0.7889685689683711,0.8428548174084222,0.7094250133658626,0.6915754678284892,0.6422528918520315,0.5945613402365276,1.4701329490167505,0.7858767248047568,0.5632919008970882,0.5097225366889591,0.5314800022757163,0.6489844120941989,0.6157967462472265,0.773199515289243,0.753968719847661,0.904335914569971,0.7815892362824687,0.7631920296707225,0.6793351958851545,0.771349747752881,0.6810894574265318,0.6931589559858616,0.6844215641829517,0.981384803975245,0.6785279422897584,0.8282299155354292,0.6708914283772379,0.668552969286237,0.6434828439432874,0.5462553533061072,0.7289584499366812,0.4353396991951411,0.4603575434228114,0.7123296287899495,0.3982408824311569,0.35415879639842657,0.3196589143827109,0.37841404554946456,0.4147351250168522,0.3968554946999775,0.48784010650357296,0.5121439118351823,0.7404565598611483,0.5870934027558624,0.5468500857631029,0.5055154640197203,0.5226897871479915,0.3864013253982563,0.3231965991475576,0.34428253006652243,0.34248762376529324,0.3662688855719412,0.31313964940634126,0.38120163803684254,0.36003923807065863,0.4008288873321437,0.38178300894327116,0.49034108742968063,0.4670522534457457,0.43444195049837353,0.692822865781174,0.45794699850973414,0.48060837949806656,0.43066483354890434,0.7000729973968577,0.7030032390937806,0.5976436233054095,0.46447466562182443,0.4452286279081972,0.4704951882673135,0.4151859894272262,0.445728743007942,0.42417731268506087,0.42559424592808937,0.5529631691252365,0.6489336698247817,1.1332962215795912,2.0927198233093267,1.2591073188275517,0.8861494337783182,0.6181281737945339,0.6391451916108909,0.539530377458208,0.5471688202376453,0.43936857605767343,0.4720707354173228,0.4170446583933851,0.428666146347998,0.4617203886433728,0.5242028888014317,0.46694294347727316,0.6781364215318736,0.7354745599150264,0.7253348413056002,0.49441039262089703,0.4096536856359257,0.43336786658635484,0.45371799141165237,0.4646549142049086,0.5659536400103493,0.5669873373643869,0.8409966909461853,0.5873708188860245,0.6157512243587485,0.5864561932994321,0.4675590582407928,0.45372451217961235,0.49274012662051536,1.27766294481873,1.556516599668614,1.6999487519986343,1.7271160178410832,2.211378155115661,1.181928784507852,1.7602791046208057,1.7594633545929255,0.690758345977695,0.8218882507968002,0.66617090300084,0.5428216114635852,0.5646934980547692,0.3942811935916695,0.4136281259116831,0.4464372894976919,0.43412518792246463,0.4906289258493652,0.4232522932979182,0.4683821396926624,0.5424691219153256,0.5251904059507844,0.5978668257910498,0.6015873667603182,0.659403225459212,0.6297235453907711,0.7371259379847421,0.7771746126731446,0.7659554876489278,0.944408077404011,0.9520680788084579,0.9356916867144566,1.0946784746853457,0.951892810275153,0.77424226733583,0.8144803434462758,0.7948987287034558,1.5158289587979115,0.9610749653713627,1.0554533151368792,0.8965716127041009,0.7809689496609542,0.7971063539066989,0.800072164628502,0.7203620362307466,0.5744566514507103,0.8112098359167293,0.677206620573953,0.7616718682683632,0.5628905261331278,0.9064502047649238,0.7324028981163653,0.7933275510699067,0.8817835572768524,0.5054436864088947,0.5424523934490195,0.640158368208439,0.7823353600289358,0.96198913296677,1.1599745687325287,1.119496861601011,0.9233329160708211,0.8128704614858261,1.0169032440623789,0.8983509306517796,0.6974928603621736,0.8987137486505461,0.9460525925468961,0.7436102201944468,0.8437511299067886,1.050645350873934,0.950394663225887,0.8484881766364143,0.9298036159867894,0.8262821864199001,0.7889389859139283,0.7188378329851763,0.7060386252442737,0.7362295866483582,0.6537982140969499,0.6698434693104053,0.6600785342169369,0.690974882927246,0.5984669950807866,0.6208870481346253,0.8277637256358911,0.7777642388606858,0.7323447440488713,0.7730631579935662,1.1283889392822024,1.0148389419397368,0.9973190963499972,1.1072360523051792,1.2943613417533573,1.382551122146673,1.030030632694748,0.8651819428475137,0.7720576740030078,1.0163054833992258,0.9275016657998252,0.9942236764253646,0.9306488263219902,0.7238124777401003,0.549713113626246,0.37841807820518925,0.36938210500939433,0.41158727220673247,0.48088811637369655,0.679181703246665,1.5320396327959616,0.4870123258508839,0.6273676101553026,0.7605028533543493,0.7503781240713103,0.6008485986538883,0.8436311060152241,1.272057345329976,2.5107937551554502,3.8268728662306084,3.996085625609732],[0.687255894234099,0.49411785025772365,0.5641020749016739,0.49306883394057077,0.4825820221066494,0.5079334402222375,0.36896435524123133,0.4444580910789,0.3772750862915908,0.3681338092217133,0.39761505650688544,0.4989879939874313,0.4351478790028874,0.4433268161444058,0.6214162842872367,0.5910141773740095,0.5674574054201332,0.6754561302357337,0.8247030698427535,0.7889362770203501,0.9218564083957698,0.8670538010163962,1.1144978260699199,1.3089470167634534,0.849837680338494,0.8475609542752978,0.7391547458182189,0.5978793070444924,0.6094324323679591,0.5953380312740587,0.7447155071270901,0.664637537758732,0.9203880927003232,0.8875091703338723,0.7626673004483524,0.6831256387229099,0.6264317345525575,0.6159724145776523,0.6113482510087016,0.6765683169503829,0.8075877462227865,0.7818147825005962,0.7821657505677875,1.0015114258729125,1.3326049977789447,2.4729402154629896,2.326002308620504,1.2468360816873743,2.8669206679135204,3.1077653784752117,1.8882827759248522,1.5055070591954898,1.2948682780571708,1.2821346779413298,1.335151111053189,0.8618522163658965,0.808780598772899,0.9084611853102375,1.0779929690418089,1.0311752109804366,0.9200931730291246,0.991320398000346,1.0009521118270048,1.1877999165150346,0.977480802484068,0.8757269427731782,1.0396346399960843,0.8770583789865417,1.1444250509212068,0.880939919496445,1.0717158333816736,1.3717517274764834,1.1401049609139757,1.217172425666189,0.9870661125440336,1.307078994226641,0.9305647791098685,0.9831404315174386,0.837360903530567,0.8273923106828802,0.758041586614907,0.6970108217753046,1.541826534736947,0.8328390913099083,0.6771742635134516,0.5962450785983248,0.6411186307926311,0.7148466672693986,0.73860109544488,0.9005332169925525,0.8853792460271022,1.0455812044977582,0.9235654741127294,0.8895010155536577,0.7796059693478217,0.8628002809560751,0.7383616847959759,0.7588243574011116,0.7072950129596955,0.9968040277031224,0.6928201071924793,0.7853953016664602,0.689939407437007,0.6458888933907649,0.6362033446229344,0.5418116100919894,0.7005490262784743,0.4551587531474951,0.48308590404101637,0.7236210002469584,0.41195748536716414,0.3832900079858924,0.38869256252759543,0.43981073576938673,0.475106099403912,0.5066698497105792,0.5702853821511195,0.6129666555954257,0.8336303337752363,0.6630620359672996,0.6305506221189191,0.5862132900140619,0.6065597105863849,0.48507781777956577,0.40595638939305356,0.417295663409011,0.41515039525749714,0.40799822672277314,0.37079593197607313,0.4252094921807304,0.39802101538286155,0.4216303288977031,0.42021894187568015,0.5311931568027526,0.49821697439107804,0.48735665804117645,0.7054797646146311,0.5106594216929309,0.5335347019106612,0.5278529258684888,0.7774918752911487,0.8165355063355031,0.7179547819268783,0.578210097196418,0.5666782797006167,0.57013603112987,0.5069850892765716,0.505067184814347,0.47073254129806,0.44813723182117804,0.5356740367626424,0.6407240302334375,1.0908067153735137,2.1550204068288377,1.277736532407811,0.8821677849218456,0.6149678609727937,0.6331258889147878,0.5605588394396853,0.5720592787616516,0.49678598143859687,0.5440104539448211,0.5101091574044262,0.5383582707071107,0.5427097018227967,0.6090366073580649,0.5555599384317873,0.7495582482611187,0.7791940235837292,0.7881166382203141,0.5615637622632469,0.49427818234810245,0.49477174533929114,0.5065418214339691,0.5284762653507454,0.6045219325914329,0.6177217166020639,0.8464390578307691,0.6387873419125141,0.6465085592810663,0.6559188240825138,0.505182040771,0.4986704238347109,0.5515966982054645,1.272522062463993,1.6382319010106068,1.749769288804331,1.8596735060450535,2.219160120180851,1.2764549337159226,1.7838454551847014,1.697516420946861,0.7311529958503586,0.8027056153789082,0.681380450692512,0.552613831389591,0.5816814258817439,0.4413559010594173,0.4547870977470719,0.47944299873580754,0.43895602898054553,0.47496974954442034,0.43828037213916515,0.4794605430175468,0.5363090304154385,0.5308254954811517,0.60090134073735,0.6000551000852802,0.6558660997606965,0.6447153413712844,0.7452024250036599,0.7812323246195956,0.7765685908309963,0.9574813287609174,0.9547612383925912,0.9391053016452738,1.0894864467777476,0.9473518569198335,0.7648787834593246,0.7972449005978766,0.7716566730984895,1.4808496750485831,0.9332920245778619,1.022068762083672,0.8704381852606498,0.7756232490651115,0.7935096146781067,0.800497807609595,0.7024932186209256,0.5499382756069587,0.7870714818145674,0.6466096675030748,0.7244058429868798,0.5305623782868178,0.9510225424876368,0.7096983279981134,0.7764442638073394,0.912123165270677,0.5105353779190488,0.5253600054591083,0.6539231507332188,0.7758618919800873,0.9765585975112082,1.1264229283093523,1.1041744942985954,0.9123093495589067,0.7896772039491539,0.9913498390982187,0.8561126545690045,0.6816816957272106,0.8800097573402922,0.9241341966362476,0.741279499901903,0.8293191876170364,1.0339430209669833,0.93789757390039,0.8491055018512828,0.9218911687852703,0.8119701390485053,0.7728005523878639,0.6982099086327102,0.6840981693491917,0.724514357384015,0.6420169597708827,0.642320186712217,0.6435492771117302,0.6792321153102499,0.5975227975857055,0.6123876311150963,0.814214615419862,0.7770682039772768,0.7461036098666861,0.7713186290079758,1.1256160591892088,1.0144285362808538,0.9942302155291778,1.1144424082235096,1.303223968506812,1.3623736611020272,1.0102946148904863,0.8678038451235809,0.765603437911255,0.9969956396020105,0.9009780221357883,0.9662270321828467,0.9078513796922247,0.7234430898811499,0.5803420960109145,0.434169214712661,0.44205772098597373,0.43883216771046507,0.4701152219972023,0.6517367040183012,1.532249813363893,0.48671936408791355,0.6281063043262546,0.7639421474743142,0.6920012683742109,0.6321308449923917,0.8533722902020101,1.3745270875100672,2.644179350786126,3.956421150833019,4.306151549033556],[0.6140817375154053,0.4169274565912358,0.5185930874996971,0.41477567258095527,0.4167711524206934,0.45363213312423517,0.33016755873217507,0.4289723652195102,0.34422798134831856,0.35150868907460614,0.40594398369088003,0.5241392457942246,0.44630029489278045,0.44280188864651276,0.640071533336997,0.6087411766234465,0.5692825647682381,0.6777751435242557,0.8047969324612728,0.7730160235428446,0.8978513111630053,0.8414307285211219,1.063109916067459,1.2451540615721486,0.8186280720846417,0.828166824136559,0.7159531753693109,0.5976190533174756,0.6158834984063882,0.6011684019399974,0.7376170617353917,0.6739991359157448,0.9270311592737694,0.8759994578716472,0.7624926656935813,0.6832411402377337,0.6256591205644627,0.6122167028353407,0.595613596753779,0.6943932551473507,0.7729119204783683,0.7731484331317555,0.7700673673372063,0.9211685948196522,1.2151300199905264,2.3684255212242555,2.1560618441855413,1.1304342330014125,2.8234977373349555,3.0714968782028813,1.836075520982269,1.4224326955788784,1.3083246456515276,1.2868726188662432,1.3830024676695294,0.8508703271836026,0.7579912400075676,0.8885761631720258,1.0733896656769668,0.9591165667807615,0.8815216678704367,0.9651545514665315,0.9713362061067004,1.163588019889568,0.9384009709294071,0.8504216008809156,1.0203249728389707,0.8727690034124675,1.12517724643566,0.857533980896023,1.116072778732677,1.450355967758683,1.148065708575004,1.1971241729511193,0.9556622376209368,1.2757543321186466,0.9016544835632307,0.9602809150282539,0.8199785393839775,0.8174056319324181,0.7580208335999163,0.7113175700957154,1.5722809316729394,0.9114421930355002,0.6314317394615052,0.5981838194103198,0.6424918756147825,0.7371623166948212,0.7229947686498189,0.896600558500168,0.8626321452002951,1.0056766395156034,0.8917537497714397,0.8758697267380151,0.7745691847634603,0.848891438679325,0.7521561976697391,0.7698218441473019,0.7419410213837024,1.035728435360106,0.7286618676864864,0.8288803464068135,0.7258140226466657,0.720099194214031,0.691130869266342,0.5960985901500502,0.7593771179984897,0.4729577993367734,0.45839367322363944,0.7186347276012537,0.4049055597603886,0.40546719930116704,0.35695082789847526,0.41021374019052603,0.45084242142076086,0.45004129921867486,0.5567233941763031,0.5826219890756594,0.8137957072934658,0.6560825400308467,0.6254203807124211,0.5852835230454186,0.5706269025031547,0.415606341052785,0.3572421113027775,0.3554790762433939,0.394108444395495,0.3840254804840825,0.3549978135420054,0.43464021577830125,0.3685318909120578,0.4430521446574143,0.40847657682699595,0.5377494726552788,0.4578142942962934,0.43258347626207916,0.6300993088251452,0.45595074906800437,0.49408989370419637,0.46482711392756215,0.7419533027521652,0.781931669031669,0.6801281573486134,0.5365598432586631,0.5364714120847186,0.5600575677813213,0.4836879747533044,0.5049600697915438,0.508128304141276,0.4729502267259054,0.5723121849768038,0.6817174015523126,1.136825359701654,2.1744303727446956,1.2940468253701758,0.9284821501391601,0.6691314594363871,0.6917544137742857,0.6228832115392012,0.6326868453513619,0.49938070367001863,0.5618539644774725,0.4921230897076079,0.5554987310831563,0.5102319280648665,0.562085781706936,0.48903467524549576,0.6222850235913352,0.6544064081433268,0.6799594555331524,0.46523418722176724,0.4278370147568623,0.46228767593424974,0.5226012829591883,0.5655309051073578,0.6567695148313732,0.6490561917722731,0.8825106748643127,0.6844828354982835,0.6991140022529501,0.6820260846730086,0.5577451710557558,0.5371615993400606,0.5515237230165941,1.1704620605087297,1.5091172169190952,1.6021177065705765,1.746750693415549,2.2028693908359256,1.2391992161555756,1.8752388703116092,1.8345384784450687,0.6764878741114241,0.7978457336107962,0.6564723106195007,0.5432547101002164,0.5534150688087933,0.4071454435658283,0.40206355924359827,0.4517534090696429,0.4633300529454953,0.5324319359951883,0.4422560020391231,0.46425009317697535,0.5535247924096197,0.5405732082336575,0.5846063084052601,0.595054726941413,0.6890791844978028,0.6586527760251223,0.7413467067948055,0.7986303436944537,0.8124709887633508,0.9826079621708735,0.9498640942110721,0.9049046572453668,1.0996498275343976,0.8882058574331706,0.7471183028673151,0.7894637704682557,0.7600335205217029,1.474299690170652,0.9410757115797671,1.1031716856377083,0.9157853158378703,0.8366810773428499,0.8511896895226103,0.8961963323761775,0.7348870757793929,0.5915998013144478,0.8786946957091145,0.7228927554654623,0.7271586389008395,0.5702005111800862,0.9905531612145942,0.6448355271158669,0.7203308272913598,0.8445107418688464,0.4759877028801406,0.583874827804901,0.7314596392523173,0.8682893603674344,1.0664054347876382,1.1914819782691544,1.191961658416653,0.9912950634725026,0.8859800038066039,1.0683904470426322,0.9304398053121081,0.744200788305468,0.9335390075292175,0.9644867867933693,0.7828472331572752,0.8723132842111858,1.0670001234099595,0.9695875728383779,0.8925832201287963,0.9658347881302242,0.8516616476791936,0.8266672351708915,0.7643071508973865,0.7551025072088775,0.7620815730742525,0.667242046905161,0.6906337256890006,0.6608333795860424,0.683599160184831,0.5836866521405976,0.6073898827204806,0.7907119128599192,0.734438559606648,0.6773847281497057,0.7219378019207173,1.0479981569995944,0.9296536702712807,0.9127286289726902,1.0105090451505105,1.2287752587440885,1.2563752389006555,0.9343778328912117,0.8032246098933317,0.7242307838360857,0.9440339250297134,0.8244535606882543,0.8657829760230433,0.8435137673117722,0.6350042666226777,0.49648482245170106,0.3723594777894756,0.36184622436157415,0.4058580890754124,0.49024903881075327,0.6850592846417332,1.544921372884875,0.47648807027117346,0.6447299727477654,0.8292612187521361,0.6974490487865881,0.6459307432541682,0.9067092433073674,1.491454076513891,2.7466000228137646,4.117299800442022,4.641445002885051],[0.7632034191013974,0.6101981342222091,0.6617357969584731,0.5844041435339274,0.6016293055236496,0.678018173853428,0.5806688687201262,0.6859944832749314,0.610033659833178,0.5828598095046804,0.6066830773301652,0.7480904469902974,0.648621098951538,0.5976312583941946,0.7706743182753317,0.773955372096834,0.6863573303994303,0.8243031286302627,0.9252489687224607,0.9253088337479682,1.0500239738697965,0.9861681977094765,1.2112918576646021,1.3488471597050402,0.9583740787807042,0.9461122477573993,0.8473980249520986,0.728023408892358,0.7848908500119064,0.7957646130382874,0.8850294380528363,0.8696697780651726,1.1023761629002127,1.056495708766813,0.9439271966105245,0.860801293509976,0.8491646094125602,0.7998466820813884,0.7783966141172504,0.8594049205165338,0.890044354327155,0.9017289808660592,0.9424372738390371,0.9743862002222028,1.204539407260767,2.2844146091427295,2.010715830400746,1.1215051495418564,2.745772346413188,2.915744703689655,1.8526706128974928,1.3668562096941712,1.4179572715382158,1.4030218365743057,1.5845534168732798,1.037365210362311,0.9251022614664166,1.0892497646745003,1.2165805436102746,1.0640958588102967,1.0202945384109505,1.1183645497149708,1.129927587872117,1.3189553043227105,1.0775225511404065,1.0062825841633485,1.1500343231201176,1.019982781581041,1.215321537233021,0.9775555086085677,1.2288397340942139,1.581272501888927,1.222755108903067,1.3209010897970386,1.0816871608938985,1.390524797567978,1.0568724941826937,1.1216789016774167,1.0032568800638195,1.0145103720038586,0.9632828023176451,0.931590897462927,1.6988575051292283,1.1544539929930464,0.8352544019844446,0.8333101185340578,0.852238226708156,0.9297757628639254,0.9033491259074643,1.0741770085667086,1.0347917435552236,1.111420134361939,1.0388623204473728,1.0351551111200916,0.9340376061173549,0.9821003567180024,0.904457688576783,0.9528917988326563,0.9459815375656077,1.2381642185167345,0.9722439802856518,1.066111764078182,0.9643159834463155,0.9686630082405,0.9470963594660693,0.8626888586851889,1.004719053371101,0.7696765127561973,0.7352024986408949,0.9227554137049151,0.6961583886979277,0.6628821555202244,0.608789973213575,0.621886584485777,0.626978709400443,0.5990552931982817,0.6568147699362653,0.6489037619340832,0.8684912962251643,0.7222597866499997,0.6981556113144968,0.6900113203661414,0.6604439393382546,0.5530637172227765,0.5461951052026007,0.5577569537609971,0.6368061595186958,0.6188699492688539,0.6369246695061214,0.719301899963144,0.6401975031496961,0.7156125243977243,0.6959247713574662,0.7998401769948366,0.7093471956345874,0.6678066590850292,0.7580785422021783,0.6027473100796641,0.5804962325573059,0.598025627451969,0.7687552944093027,0.8567162402424063,0.7954387855152756,0.6636991898805771,0.6775847027827239,0.711736139238797,0.6462527576852239,0.700660679848506,0.7279133083550312,0.7042887717975365,0.8068074051961523,0.8695622790173015,1.2913376564992403,2.2536605526253033,1.3990226714525136,1.1293604856017512,0.9173814301970604,0.9441181629543993,0.8728455618570706,0.87418296057697,0.7039130301447378,0.7546424820219483,0.663208932168058,0.7521944258746691,0.6627801790702277,0.6811884981457912,0.6392069145536206,0.687846043527584,0.7371555897606745,0.7710447272970068,0.6215926202820241,0.6201996592641181,0.6557566799248167,0.7137134682357132,0.7719891422061708,0.8852900343703763,0.8761549731785152,1.112739196658432,0.8959292189923366,0.9110810810734054,0.8640681141333277,0.7963692698760237,0.7914948004649315,0.7941795991683822,1.1901365000146902,1.5028757779130302,1.557776864119752,1.7738925177489981,2.1864678682151486,1.3117061269326786,2.01076279189146,1.9858704124539588,0.8686155244159462,0.9972546779462872,0.8228805799960417,0.7462228510653113,0.7084934560383175,0.6474098915371181,0.6439702772770548,0.7126047223850795,0.7220835518896234,0.7899237128352259,0.7020167157219831,0.6846775758048953,0.7707653909988081,0.7494781689347352,0.7544288528226937,0.7612432199478785,0.8594465277099099,0.8018005866860971,0.8514351201005688,0.9120647724369803,0.9259768325023968,1.092895711397612,1.025842323549608,0.957466789279207,1.149050557834771,0.9334064248489856,0.8511182501916033,0.8789919763632261,0.8670114793098208,1.50174018175826,1.0454729851485276,1.278810337914816,1.0430835506305116,1.0208437389282774,1.0572574031861135,1.1417411031793216,0.9142613580828532,0.8175570327371218,1.0899760542042958,0.958087648839987,0.8986370882537587,0.7883904270220717,1.1691221315951719,0.7875215478570188,0.8189482190243563,0.9781546479650295,0.6977724352071849,0.8232623697883542,0.9598027391451647,1.0868395335833412,1.2666524918227053,1.3527173119060167,1.370137431356119,1.1863570515513295,1.1032964860316765,1.2664127088601047,1.119623698651919,0.9488725263157581,1.1262867350614096,1.1378315901114608,0.953796356524557,1.038210718290495,1.2090506426046734,1.0894637258762774,1.0186662386692436,1.105971599097766,0.9926980385725803,1.0056769337057356,0.9670189234818914,0.9726219213434654,0.9421087166270679,0.8383795112136363,0.8809632972852508,0.8280667131493791,0.8279161952628477,0.760126052238803,0.7798836682477696,0.8983192346762069,0.8394514789242576,0.7928460347896308,0.8533235260469675,1.0986737521570573,0.9707050174687479,0.9643370328272091,1.0488007009445848,1.2675005138268967,1.2641901042276664,0.9624974563578452,0.8653686793675601,0.8010821996930844,0.9821672323570518,0.8863557960151147,0.9114658027160355,0.9093139703036491,0.7511229980107369,0.6714339786124717,0.6233091280987345,0.6066943687822022,0.644678387391783,0.722051803017315,0.861404817588955,1.6006122330223544,0.699262676645254,0.7910474965951784,0.9587729052635872,0.8919320220489987,0.796727644471923,1.011393622947043,1.5997839956947144,2.817169475768553,4.223183101753165,4.914582701361555],[0.7192135279833353,0.5400433968709634,0.6098416113744944,0.5070835620177203,0.529450303996494,0.6004949278340171,0.48673073930054694,0.5898199145420261,0.5008084302522658,0.4658151597810511,0.5034739448532592,0.6498470890181174,0.5489408906697439,0.5112482403730076,0.6821909573160891,0.6761273370014544,0.6305021848747251,0.7502485175069308,0.8750513245824018,0.8584286894107385,0.9800866808919741,0.9281651641103058,1.1506444303447994,1.2909713976162835,0.9047117579000318,0.8965395475834815,0.7934333173068406,0.6773624563311815,0.7059310215677654,0.6966354581254423,0.817259730927145,0.7795004357015276,1.035165083356046,0.9830086386230195,0.8692600013024724,0.7735661472144332,0.7381163266561955,0.7073162009634824,0.6959506672047239,0.7964422930641137,0.8384182777800914,0.8493637073166674,0.875358064545236,0.9328284565760865,1.1860693213965174,2.293880375585302,2.0094943799187894,1.0933012350950169,2.7420295563625796,2.9011905108694442,1.8476850646527578,1.3877223623781358,1.4134419062671866,1.4121190985436782,1.5338313391142984,0.9780571108946668,0.8626072426725062,1.0349100036867889,1.164288995726535,1.0260754281462168,0.9620713084999328,1.0554785261603188,1.0584215524711797,1.273542919234315,1.032372800913601,0.9449445876088928,1.0970138164936594,0.9582982081300764,1.1759662847466836,0.9231025049540689,1.2053808918152213,1.5771088410921248,1.1762993868668794,1.2689124261337592,1.0260301078356142,1.3360726719744012,0.9832702629499612,1.049195978440605,0.9249271522800507,0.9350425131731567,0.8679030657779061,0.8372344650272345,1.6689795462342207,1.056782127075397,0.7156587405213007,0.726087310898555,0.7546938448736666,0.8558333724042878,0.8265630583013591,0.9951859355603881,0.9550247126019131,1.0578276031157994,0.968230333100905,0.9654480729928416,0.8614890317712008,0.9207706385151246,0.8233977607586597,0.8678842444538138,0.8445304655259677,1.1483605725992716,0.8588948963554186,0.950357043820615,0.8680264474681882,0.8693188698856165,0.8327040963092859,0.7592355056338853,0.9178449258141514,0.648494919348939,0.6192152657808602,0.8510314443081902,0.5805785031168524,0.545037646807002,0.49361248871005153,0.5437977810079478,0.5544320521654906,0.5263340993688745,0.6115460377207806,0.6467712184393586,0.8777919218630678,0.7153728895757006,0.6845587926798445,0.6522291403008225,0.6342113711811482,0.5061095164149813,0.4664688243149134,0.47120774981156144,0.5413038367202357,0.5308783377160685,0.5280619697219451,0.6032434527122252,0.5256365620387069,0.5836605295420162,0.561263817375329,0.6867837588771057,0.5618108446412832,0.539145346111858,0.6870895533654794,0.5343823712581298,0.5660969392302998,0.5552757355677485,0.7696250530163258,0.8398452897245119,0.7664513178318167,0.6350369147200112,0.6264391938359148,0.6471134521877029,0.5782618386535243,0.6129158737675879,0.6368349928403373,0.5817755719855091,0.7063250849932282,0.7914841781074512,1.218884428099494,2.2578789333752094,1.3838190705705922,1.0412850350186917,0.8098793524006866,0.8419176300704582,0.7686684952303451,0.7952211077115695,0.6206118172625117,0.6723924201230304,0.5953897111947208,0.6832984200959562,0.5912218790725462,0.6251353069522022,0.576313078867443,0.6580462444325501,0.6799198502080157,0.7240008361071147,0.5448738700394256,0.529415783672823,0.5786487590368565,0.6441765947015724,0.6928585289195052,0.7889261965492341,0.7766606428668487,1.0075931122916861,0.8094537437878373,0.8209398816443961,0.8081135681874307,0.6876306152281441,0.682231011062339,0.6963261436169107,1.159199506472698,1.4991976601089891,1.5707325351883115,1.7533254498401905,2.156482722505735,1.2620734002235956,1.9446487971994841,1.946257752062908,0.7799914671314041,0.8766991106015412,0.7146480085493128,0.6503954536691816,0.6613382926559387,0.5523129789772157,0.5452413598368676,0.590596630231285,0.6306346476725664,0.7093739360152725,0.6098996172275302,0.6075310864675683,0.6979277431409138,0.6903177587208746,0.6770352707512098,0.7095016328683467,0.8216503648580347,0.7744337810634124,0.8285991664752246,0.8858376585260511,0.9104636970999234,1.071031011327149,0.9887945908777656,0.9261572698976257,1.1443354533031116,0.8880983133300698,0.7987290823750557,0.8461872934428069,0.8302317077633774,1.501099477169155,1.0112873606729764,1.2071150153247732,1.0495604928118831,0.9742990148210361,0.9824483620815163,1.0526539060795108,0.8464978896671854,0.7564367250456897,1.0290456653619398,0.912940769192152,0.8509493011583824,0.7168015558238924,1.0796750304146783,0.6886299731244492,0.7342153998316989,0.887455084652563,0.6010136093152071,0.7645089266460247,0.9141261179431369,1.0264498778785285,1.2239073846847612,1.325936890026115,1.3440964384685938,1.1372542394717025,1.054305117738308,1.2374343494950588,1.0798001615134865,0.8945547796639165,1.0868583428841079,1.1097999986969445,0.9160727895716941,0.998606053692731,1.1765021777437563,1.0892470620111132,1.0093167200908175,1.0858326130132214,0.9656683352093589,0.9638096770107794,0.9110740271420817,0.9186870901752465,0.9025886964066239,0.8016969766000822,0.8349131911851996,0.781814854345903,0.7888944276020797,0.7028195237817658,0.7161103566698567,0.8462952486461264,0.792673935865796,0.725087053808908,0.797672965730707,1.0242970695618878,0.9243514657424647,0.9014958673531024,1.0053919023200508,1.2380451734407825,1.1756167102541228,0.9166378339988573,0.8210035813211263,0.7586518773400739,0.9348060483409026,0.8125895833697286,0.8267281444966729,0.866848734366029,0.6695336885582394,0.593411635929303,0.5297895928517666,0.5298389501395745,0.568788118390285,0.6623760166715944,0.8191299367923605,1.5671277210052021,0.6440552420196743,0.7588061679031829,0.9399813624316413,0.8291114115610386,0.7589147861826638,0.977707926509091,1.6321449105590482,2.8939753532695227,4.320882924438534,5.156892804001043],[0.6051982880059902,0.4256172858051671,0.5240493154610623,0.40517207260404675,0.4195527502661373,0.46679001447463586,0.336986110849363,0.4179790317372019,0.3392555578078934,0.3207305920845892,0.36061031431059165,0.5251434265615118,0.4250692600079906,0.40802041608367073,0.6058764512889043,0.6077568420026828,0.5741272093025573,0.7007120659512721,0.8437742691840986,0.8177667369581247,0.9540202510269566,0.8942988186659677,1.1410737594519245,1.3140056393315063,0.8860840145034219,0.8777784523263191,0.7650421935835844,0.6247917487778212,0.6426389144590055,0.622813734307901,0.7665020489115153,0.7191896515481638,0.9813016510394651,0.9327300215141667,0.804151887743255,0.7132859362796252,0.6659384769488418,0.6517265110783461,0.6470712449824555,0.7442588196129706,0.8193762310601752,0.8208307450544026,0.83281340637822,0.9479986789611914,1.2178645056167468,2.3192127698285474,2.0655837927468497,1.1321569522140364,2.749740236559966,2.8799987187866702,1.8473498426294281,1.388898627696909,1.34537341299782,1.3680121613640164,1.4294437093773376,0.9058704837063992,0.8278840545086866,0.9764286333733043,1.1009882167524139,1.0290723188368183,0.9348620333972881,1.0160674421229954,1.0230893839349124,1.2178417578236966,0.9964526380468598,0.9069595651707424,1.0570675425984315,0.9098941236447934,1.1404595650810976,0.8815782153851476,1.1385026356997054,1.4832621229500678,1.1400526274229856,1.2318543930705814,0.9981120440837954,1.3070114650899838,0.9456991575777238,0.9986576398769204,0.8636154893470072,0.8665118280493461,0.7979248260166865,0.7548946572240721,1.6160454804238529,0.9236253464258963,0.6863840930136368,0.6408075886987767,0.6874435330240841,0.7893705205627456,0.7685075616999913,0.9434603582065948,0.9074458087508881,1.0388232210290924,0.9303992504406579,0.9337923816543101,0.8196134308775366,0.8994573686842119,0.7527268765437793,0.8264363360387887,0.7765145554551072,1.0615662589308865,0.7732459619104941,0.8278699100948255,0.7577695873489507,0.7096350906566389,0.6810792571567023,0.6035783225046162,0.7520629022110554,0.5009557765310313,0.47264013335393773,0.7653514097681845,0.41468545874551954,0.3912716235180352,0.35921849010682766,0.4166573331913613,0.46013963893886434,0.47303791102320714,0.5743254536684677,0.6211667757157254,0.8551242280442775,0.6744707081861246,0.649802435541587,0.6155335434196312,0.6067378970672795,0.42310463844786306,0.33260336956163056,0.34734845005540615,0.4073686172023913,0.3952577773548116,0.36870368974511225,0.46474192427053684,0.3829490052425687,0.43397549702560856,0.4223135249742711,0.5653182082984023,0.45682970305414955,0.42771868683449393,0.597246703725585,0.44550672230698835,0.5021068847023372,0.5037468667612862,0.7738376538007447,0.8473997959844767,0.7369882328774726,0.5806156749742312,0.5711598200947373,0.5844613718662859,0.5040473846262938,0.5176057496427765,0.5080980329214765,0.45073027577962393,0.5569630291713696,0.6724325239887325,1.052435317096319,2.1329227847958596,1.3391510091105436,0.9274304630854917,0.6735760903676133,0.6894587994147598,0.6372937324161051,0.6532985564517256,0.5149530876630246,0.5927483460701227,0.5121401551560414,0.6027647582762129,0.52619263593015,0.5914830097071384,0.5304170859713063,0.6387483835588837,0.6632169251034902,0.7017533436421511,0.49146003477932476,0.46593248187251934,0.4918479294589931,0.5431158401151176,0.5938257089633903,0.6778559718462518,0.6867103740136149,0.9032035716381046,0.7121222719222698,0.7174128781217861,0.7189086149523757,0.5597502378756822,0.5512468999040463,0.5789123904620996,1.1489221157956326,1.5297866718515931,1.5967700409958883,1.7906494533315631,2.1527184505519616,1.2795682689744157,1.898309230798393,1.7936249297990763,0.6726505172771048,0.7794086159901897,0.6368158663014762,0.5524123206236538,0.5780053519113835,0.420034422019125,0.41073485611682514,0.46321427915625785,0.4508955175815524,0.5158299215470952,0.4375578112807407,0.4514887762027009,0.5333113819925075,0.5472596335748283,0.5797536808729411,0.5903552641275682,0.6885117797260847,0.6839060437848821,0.7498848469003806,0.7888316835281095,0.8286744535193629,1.0026346085739837,0.9264159215039385,0.8612342156281019,1.0728195279615986,0.8088805898299819,0.6860644977234146,0.7405656599076408,0.701575147536654,1.4278682515380696,0.8942218143070778,1.0733610807644358,0.8955513612656465,0.7938530552002222,0.8185153583871274,0.8908083090684368,0.6809270191738047,0.570337321795682,0.8492729603183773,0.7267973745978255,0.690019031929547,0.5405352354053924,0.9968750687453557,0.59498744841697,0.6691731290879006,0.8771073041942141,0.4628952643503566,0.5918541733714509,0.7276791571740326,0.8348236751407849,1.0532262330590567,1.182953594015284,1.1871701443983937,0.960439644379775,0.856766213590153,1.0575735584452144,0.8947385420992745,0.7231056052462239,0.9148581007161066,0.9555436980227006,0.7711680782833729,0.8393271933331926,1.0282715872931847,0.9690473351294692,0.8918666992923341,0.9437469395525896,0.8231164139945919,0.7879950091535924,0.7320110173598681,0.7220605869614141,0.7279661309274045,0.637740818783547,0.6528509535442022,0.6071350575411751,0.6344522628312784,0.5454566961719952,0.5548972605195543,0.7185317367350081,0.6821345595540048,0.6303726028427696,0.681237222094157,0.9550294414832586,0.8645518717331543,0.8423300280732802,0.9787739728433604,1.2189852564363106,1.1102327464603665,0.8472153409630285,0.7540505712324506,0.6878897115589087,0.8791793228000754,0.7500021110878095,0.7798552665189383,0.8179010103327436,0.5876042887511228,0.504776006467593,0.3953441724673322,0.4150767777857436,0.43762909030818986,0.49618853874105295,0.6850161836040274,1.5104530385279407,0.5093587338059101,0.6500209592315284,0.8638207004745697,0.6748146253690357,0.7064583338086139,0.9488696623739364,1.6879806719591435,3.0381973620824203,4.4131336681708495,5.308023124521852],[0.5936492407547254,0.4090163162224406,0.4994731067275955,0.39236430981330894,0.4117646646495433,0.44670408671346296,0.32213132091755176,0.3876333572355687,0.3168877808081943,0.3064283655886522,0.33968557884108047,0.4874459006889131,0.39382408728055845,0.3885454853816112,0.5789108838259422,0.5600022263801518,0.5372320120195502,0.6501175235958305,0.7819385931895237,0.749000487694642,0.8645208562398699,0.8054836731195171,1.0045710590316734,1.1824209986524656,0.8017207708404619,0.8071404102496162,0.7111766057655022,0.5855796650053563,0.5940018165521853,0.5754254564403577,0.6913342777061164,0.6405836971585152,0.8560970479243888,0.8094562810794174,0.7072499957315941,0.6386221117118634,0.5983253956368656,0.5923534809201653,0.5902820420301382,0.682819816345611,0.7756485907368721,0.7436337551172277,0.7455885940561219,0.8935087751613325,1.1848961165554153,2.3191328511796194,2.0879181271329794,1.0974610984578004,2.780119636988999,2.9831513930956035,1.833319324690303,1.4085755194320457,1.3010131699660403,1.314195530766475,1.357255222762878,0.8104312979580484,0.7343153511973133,0.859504459155964,1.0165309092543895,0.9322649255053141,0.8370320109056814,0.9025615777971233,0.905817947019193,1.083263532718408,0.876928666194603,0.8070069614926345,0.9734230911927735,0.8274613546035766,1.0829090094539484,0.826571356428675,1.0901364320003442,1.418903170804918,1.1192219258795508,1.1293399350557218,0.9046739123634345,1.1954770748813248,0.8408290697563204,0.867847947542957,0.7518547588912171,0.7588268502259119,0.7026836007455113,0.6782253053350796,1.5496282320754988,0.8429848671926826,0.6574584145473786,0.5790298685263584,0.6160873943144656,0.6966701584619999,0.6787628356739708,0.8259726645095574,0.7942653050431681,0.9257361357133951,0.8016862579806494,0.7997905408910378,0.7306392197791814,0.8100736543273588,0.701102246467359,0.7417529939223236,0.6994794250055232,0.9817559107384818,0.6796259422934393,0.7451539276288777,0.6901703256123899,0.6506985063335434,0.630987218794525,0.5695772414806022,0.7117323873799039,0.46979391717854435,0.43600390594796573,0.7324209041821492,0.3851566867340677,0.3644754973948505,0.3369055381164947,0.4075241112324887,0.44285096528741646,0.44373800110791956,0.5454336555353752,0.5797750785796715,0.8053684603711915,0.6439829887864704,0.6146188592899539,0.5805157325794447,0.5681995857242196,0.4049151705838382,0.32460200807293244,0.33684093156549544,0.40117690243756615,0.3828915423642153,0.35548817332435245,0.4416486019605831,0.371260065468633,0.4158414040848464,0.4060238948909222,0.5384213762205388,0.4459064846431051,0.4162414448793607,0.5942906105781817,0.4382355206081861,0.48909624691166587,0.4788267412540976,0.73352506951787,0.7745123601535888,0.6857132902517303,0.5471611726334652,0.5316487801380974,0.548086151507686,0.478452445688956,0.4923271486759672,0.47884719384664615,0.4219531176662811,0.5168350728153994,0.6479051033988219,0.993852598655525,2.0778777449183363,1.3395105019378313,0.866506252698889,0.616702273253195,0.6366684370460284,0.58374398102365,0.6074716760104022,0.4877196407660848,0.551471262395166,0.4839931909835808,0.556289024426066,0.5013629146413265,0.557592373237939,0.5066944758211539,0.6041596697510545,0.6388787986590388,0.6759837324003197,0.47394393047933014,0.4459853455907921,0.4660041916860318,0.5111923837746654,0.5467397532599051,0.6247803909896308,0.6318754841671727,0.8433674912667435,0.6507462705290205,0.6605729354154776,0.6813009494787258,0.5211935563225436,0.5121940590327012,0.5511845057706329,1.1509091654598724,1.5441017402572517,1.624226147720841,1.7745598673967085,2.162471171913952,1.2545773558304134,1.8881466380484113,1.7906766112977361,0.6623984070853712,0.7819789712212931,0.6371462131793965,0.5476076596024786,0.5753514816334282,0.4130346188684616,0.40846452263294003,0.4560360982096145,0.42167904131479506,0.46593872896122507,0.4105604824568652,0.4257866907858889,0.4826071194247801,0.5001620693567068,0.5637134455384601,0.551191033492774,0.631193558496714,0.6462479816919481,0.7127757887914612,0.739651689941294,0.78175057327775,0.9703142568226318,0.8831614174909781,0.8331000832486543,1.0371261780737322,0.7762907978617056,0.6459702113046971,0.6912061939320508,0.6473270320826883,1.367744507335422,0.8576679019641428,1.0446202520738108,0.859315875078347,0.7444811099610585,0.7687610949095031,0.8313597297334316,0.638452854113166,0.5227447032552929,0.7960742952716032,0.6852969120917646,0.6499282062750599,0.5058382147733178,0.9898487348132516,0.5841538472879517,0.6662032993067039,0.8820334744694761,0.45698116961209767,0.5725352643276459,0.6871890253247646,0.7891073578567707,0.9998345882464743,1.1191921939225082,1.1128860636743632,0.8985240780071299,0.7687035328293136,0.952315820357757,0.8122993863184853,0.6475517487051781,0.8131728092262889,0.8601334236694629,0.6986347372529792,0.7511685852318352,0.926735590427327,0.8944143607592246,0.815536454457524,0.8515085039850672,0.7474756954037213,0.6966847528491444,0.6484642953186464,0.643773239608623,0.6511032547579342,0.5800942312411337,0.5885283052185311,0.5507443935392236,0.5877343608304508,0.5140117672418125,0.5248589856322112,0.6830040817030856,0.6583192799165228,0.6176028364266816,0.6574844428437864,0.9249944694897658,0.8415068460388853,0.8210361295102807,0.9645897225740498,1.215090661086473,1.0569000259765897,0.817387743025909,0.7317028199876247,0.665417349567029,0.8643541730772746,0.7245557391302884,0.7487069722821057,0.8116400338341254,0.5775195436352039,0.4979302603900761,0.3906384741778229,0.41138882779363833,0.4287261437539301,0.4481221428581949,0.6185392253440847,1.4960505869263352,0.4666599398919861,0.5989213563836575,0.8146188002142877,0.6224510263275056,0.6819725373351635,0.9094307172127446,1.7216567503694427,3.1310333283515823,4.487231580747902,5.481242145709266],[0.6345623585883294,0.46029321159989767,0.5707929207406568,0.43987147044639746,0.47470917877769175,0.5318446328202489,0.4074753860148091,0.4952430535215585,0.42892063968494154,0.38945143600523296,0.4232136589045848,0.5797191359083687,0.47806011808842375,0.45380243324944813,0.6302591349732458,0.6346265065335729,0.6171444775699888,0.7298022315997563,0.8728570214323411,0.8509957440231378,0.9634952221938051,0.9056539370204852,1.1097657171647326,1.2734450610623942,0.9056082138478644,0.9066086043421224,0.8033817280811243,0.6770756908400613,0.6837774395425793,0.6504309638773395,0.7657930732273942,0.7195787328865583,0.9478257020803442,0.8876657555466178,0.7915494492477093,0.7216141483364918,0.6818530057344317,0.6846842830145815,0.6852573876389664,0.7877836410135506,0.853134482012784,0.8515753499083559,0.8577110736400124,0.9596258693379577,1.2316518848318727,2.282348645996326,1.9926679174901951,1.129534214197438,2.710862057649028,2.8300221167272643,1.8479888673096432,1.383669324500976,1.3705570431700893,1.388947899763526,1.4453423050808782,0.9221100556892767,0.8408331028942169,0.9782598524005213,1.0982954175099358,1.0220691596090332,0.9329758642290116,1.0006838889433731,0.9951137286131227,1.1856734419451909,0.9805769207665771,0.9099413415403841,1.0722874326726008,0.9299586387132596,1.1716176640481142,0.9160623576680481,1.1780082231516045,1.539104883765734,1.1768401302531801,1.2107014842584036,0.9861248585903986,1.2643642382635258,0.9255809224935733,0.9448150142197552,0.8376571838609621,0.8506492210704961,0.7870442982621817,0.7702207536134684,1.6284748125771569,0.9531006133651792,0.7210647705419564,0.6743237294105711,0.7145794632201862,0.7910194420588944,0.76890796608834,0.9052880238923611,0.8757104121171763,0.9814525176385345,0.8676779185273212,0.8767377764784956,0.8051504539611491,0.8772042093593709,0.7452566740193005,0.8231758083352365,0.7756840747201049,1.0542043871643445,0.7621825676237244,0.8164007807115077,0.7596690580516787,0.7262422265782547,0.702101291889516,0.6399630905654642,0.7751002054621733,0.5809042915077355,0.545912258703062,0.7902365220040292,0.5026346757005804,0.46323603285635023,0.4398137168115173,0.47781598491145255,0.5032417363043094,0.5132745801598503,0.6164143248288841,0.6555230562971168,0.8538869055005445,0.702095838940364,0.6799249115561603,0.6485092850673204,0.6318061863230054,0.4498769996653604,0.39066146518313694,0.41549297073427005,0.4751058653173169,0.4690960607722343,0.4655076588830833,0.5135516247905951,0.4545688271798621,0.4978103260953597,0.4822119561031837,0.5954791345143796,0.5138870362541494,0.48690363187526,0.6133906769244144,0.5212629720040702,0.5559185671596584,0.5634324478492473,0.8044261321638272,0.8829898767016784,0.7726473921224302,0.6255816206123864,0.632955254169234,0.6456743466856854,0.5671714576601657,0.5556951382143572,0.5515956336299156,0.5040045288088051,0.5995480750466466,0.729219791090997,1.0343455453181871,2.0482560204592435,1.3755044194938653,0.9365063606448801,0.68720955694042,0.7148266789671578,0.6656531315468573,0.685208974150277,0.5639616922738627,0.636436480729878,0.5821362055499076,0.6639585648866309,0.6030115080028521,0.6545597157286247,0.5892946533865239,0.6470569996539416,0.6580918790763838,0.7087695156010133,0.5403816631748245,0.5337038413401376,0.5526350884893533,0.5992682100543364,0.6376268430810744,0.7032414912400796,0.7153630987644749,0.910012672088567,0.7392740897313557,0.7484839544648365,0.7584763280332356,0.6040123839623449,0.6013974151625878,0.6277952746686469,1.1505072432089354,1.5372856046711536,1.5948746248352788,1.8187867180166846,2.169090677764349,1.3200930785121685,1.9495429783028762,1.8267637802971617,0.7295510032709904,0.8087772230597542,0.679360527717,0.6184637576936858,0.6561627190562783,0.4989178817941993,0.4934870611579539,0.5500138133536453,0.5301615628928493,0.5704892350416283,0.5159177183534318,0.5167169117442948,0.5643570976921575,0.5854424723969094,0.6253951097549526,0.620495134228306,0.7184422912560289,0.7304164783877135,0.7746050583092134,0.8114422766490227,0.8657680281892821,1.0278624334545676,0.9257511021167151,0.8674853962150946,1.0671494340191459,0.8082420736625515,0.6981324337448502,0.7391950903531957,0.693548106799446,1.3843125270066123,0.9136448176991306,1.0991479023848088,0.910648307965511,0.8183789019984942,0.8402913588589461,0.9452078236902131,0.7195732932012462,0.6143653573290297,0.870018594076067,0.7750291989075092,0.6921272418566944,0.588117082519335,1.0498536672602055,0.6184049191042948,0.7009372990234487,0.9058641966720326,0.5503661632187141,0.6580955871726364,0.7698195200559862,0.8480673792259679,1.0520981829679257,1.183915950490529,1.1759872626016723,0.9472780889227318,0.8551176194103598,0.9977342034611218,0.8711347694209288,0.7311101025663638,0.893064035789515,0.9365826748773625,0.7913406945211551,0.8364393438327409,0.996277882473744,0.9858226512821183,0.8934988256871059,0.9281657663148462,0.815833589857188,0.7740369679993279,0.7333782496993069,0.728071997262209,0.7312148483521789,0.6531362035690074,0.6760333517033094,0.6217865020319628,0.6441053896435411,0.5900373838118441,0.5990621249928378,0.7165081298103703,0.7041941028063015,0.6666594253191476,0.7115717089164542,0.9202779226195589,0.8350062373955037,0.8203009225286612,0.9765012688127185,1.2429751403191303,1.0137081892848878,0.8156562336627503,0.7581806221453854,0.7016365994453044,0.877616131722648,0.7195370582831955,0.7219710237738453,0.823764176684208,0.6002359668179663,0.5453735043375607,0.48075119790754567,0.49071296360629857,0.5318375961066668,0.5645247458847399,0.7206101775506404,1.504505715476891,0.5770537441084277,0.6963154015743714,0.9273571908398363,0.7005209439933489,0.7682790389203625,1.0067440711908127,1.8618055439175383,3.254991926525343,4.631153736270456,5.864783449436808],[0.6976778179661539,0.5191801904275221,0.609788010700828,0.4970738080400614,0.5073461414790857,0.5747926919668234,0.4560804703329806,0.5130839533101161,0.47347158800002587,0.4229070165725833,0.44480342187246835,0.5629903544290554,0.47211866268588076,0.4789447629660102,0.6237383097727521,0.5906677049534971,0.6048228660103593,0.7258267609586598,0.8557168081183104,0.8118678960800504,0.9073988792089255,0.8466422719528718,1.022519204002878,1.1589542037949239,0.8559637093399637,0.876426443551225,0.7898808342859728,0.6695259349898943,0.6693967826752871,0.6058937797555956,0.7003606972245103,0.6353268516135583,0.8191056260662288,0.7571145948562978,0.6956991856856167,0.6545282497199789,0.6154624389876666,0.6415803831910023,0.6520328612941066,0.7263064387980658,0.8195297656964762,0.805425198813785,0.7980466300203618,0.9006524987070132,1.154438652408142,2.266063451872972,1.9848133214788788,1.066553436531691,2.7793350527417178,2.9825084329828946,1.8240804130957773,1.4026075747100626,1.2958361671320868,1.326069945184224,1.378903325347596,0.8267201805531673,0.7718935857289976,0.8549846597474291,1.0172377825610672,0.9044804370771804,0.8518464137860616,0.903676133606666,0.8878272292788388,1.0580489516198102,0.878925599455825,0.8308231769789228,0.9827406356272456,0.8467915126597692,1.117523761546541,0.8890858748396254,1.1896372324369031,1.5438162718014086,1.2285354601834133,1.1428470406862454,0.9007642985635899,1.151314221553464,0.8307681131920678,0.8209457927477749,0.7345349393989572,0.76101540078349,0.7003525590839821,0.6907446925415963,1.5359540648718286,0.8488352974042176,0.6830842594024943,0.6040327151672636,0.641581345792007,0.6987817479188513,0.6915760192409334,0.7859204855384784,0.7630196667644078,0.8829382447622752,0.7488682417927897,0.7280677571621905,0.6946947514833091,0.7556193483819761,0.6988051532078158,0.7099371878512241,0.6771796626053932,0.9652207078504751,0.6513530691571712,0.732860763347222,0.6921589858267412,0.6630916465708746,0.6547280112835855,0.61105886169696,0.7367133907600352,0.5570901994950614,0.5356426408933153,0.7554542921330967,0.5098256077675387,0.46176740845533365,0.45460701187707747,0.5077072493611229,0.5283113880469955,0.5165033305451249,0.6088433051723736,0.6430577265557094,0.8259299006845445,0.7182426636774136,0.681809976970451,0.6384922638728513,0.6106752718874706,0.49432345161865354,0.42862354767905064,0.45000011735470324,0.5276478494338743,0.4997026810726478,0.4835915896349769,0.5241104322701101,0.47772758369139434,0.5083825027253135,0.5034950763356639,0.6006685567277694,0.5356287987064968,0.5066425297726795,0.6269966842237269,0.5416698211015274,0.5732995224184367,0.5649285687760941,0.774237824814885,0.8192171861425588,0.7523468116093356,0.6297138858247064,0.608254924469339,0.6089907895088584,0.5622687525127598,0.5470801703458058,0.5315703891581552,0.4922947022994153,0.5878437030423324,0.7322628922128733,0.9865850626730013,1.9966138900720793,1.365828786986505,0.8728565399055058,0.6266392305723171,0.6562125017689067,0.6041448998846167,0.6310842929748421,0.5468566796890297,0.5980721965485325,0.5669278153660291,0.6282682230377871,0.5803347090268579,0.6441903348462176,0.5924145938200779,0.6202617270998056,0.6641437924171509,0.7083585947947292,0.541071755852095,0.5368692165995662,0.5399696674516938,0.5753738797459405,0.5983363327419846,0.6527845643261866,0.6528641361731596,0.860622251136879,0.6837670586906679,0.6957800426269108,0.7378584159754551,0.5676493858730124,0.5640938050366631,0.6019720789779748,1.1624217261245138,1.5400526236791123,1.6008542317376324,1.7829111204525272,2.178395628824583,1.2821547681523828,1.950105350557179,1.8431634882797483,0.7453198846642447,0.8357237885945892,0.688593283055772,0.6302359299866268,0.6735408457907769,0.5150531111332599,0.507885535527207,0.5440606706924335,0.5230087199501697,0.5582867870489663,0.5197576440487149,0.5304243358674526,0.5750074877503382,0.6057143755742316,0.6407574129225315,0.6322000691371463,0.7263398685755004,0.7365386015366047,0.7688777285062703,0.8118263246262193,0.8729244952662263,1.022229492622359,0.9177940662759911,0.883646137915339,1.078035480793852,0.8136766766310985,0.7079579901192764,0.7504736585385823,0.6928722652192022,1.3653537479776046,0.9187567530537786,1.1142515750294657,0.9218224863417398,0.8390617713584385,0.8443510991605152,0.9158676502354531,0.7327749951214898,0.6208052811905344,0.8423926911733972,0.7622289786843804,0.6747977989149873,0.5752519592512355,1.0500589852334217,0.6228121021388303,0.7083547255192167,0.9088157417893334,0.5529956163889831,0.6398712052903819,0.7650911996456257,0.8470901670878974,1.0485179858370062,1.1618641291829341,1.1506761120789757,0.9346935359574563,0.8353690874587282,0.9941755994235036,0.8536381312531348,0.73859489130354,0.900706219234544,0.9478321056889943,0.8128477892231367,0.8560118610658088,1.0052688400399732,0.9998691006155367,0.9129201652430772,0.9357266826251619,0.8247571680572667,0.78541671609887,0.738873493967679,0.7333689487725054,0.743079144626228,0.6739526616458976,0.668037402052523,0.6357409688249842,0.6584238545156069,0.6020465040144335,0.6154508771321171,0.7307262661849055,0.7087860015760509,0.6602018972019299,0.6958194093090527,0.8887118508185186,0.8195641231145329,0.8247161850625641,0.993109389782007,1.2607394446557463,0.9971532738045519,0.8103018046046617,0.7566737339880214,0.7134044560752304,0.889315046577589,0.7261608380194958,0.729854507755106,0.8332375249943162,0.6287477029168104,0.5601397423545744,0.5001808824278762,0.5158147166401161,0.5632987820559322,0.5605124595418226,0.7100547291280607,1.5174434905384948,0.5889015884687138,0.7091234187196298,0.935545576651082,0.7132580055704393,0.8100201698403859,0.9991023049924773,1.8696710466364121,3.2881468938907275,4.643065669275162,5.973484787532827],[0.5603432045169536,0.4330338415125208,0.5108014524589664,0.4330655561933142,0.4680869002812876,0.4767260424960339,0.381897743870428,0.4015948492635022,0.37984732917335834,0.35131363120505404,0.3720737213627404,0.47821090042964426,0.4034395144244244,0.40689408385584896,0.5446343139810127,0.5282112768870996,0.5554969263992794,0.6167407107066769,0.762422026225369,0.7239948309530728,0.8395234132445439,0.7873817303296139,1.0093857834496842,1.217531256506186,0.7992910466110461,0.8038564705947588,0.7119069824109787,0.581400336653055,0.5691359682894676,0.546243254709601,0.6658747373699796,0.6046770755864601,0.8202902051655994,0.761302701235849,0.6636292255172007,0.5968943010948613,0.554486026089064,0.5811348640253199,0.6028136110586734,0.681870038872767,0.7923122066535498,0.7446764109497794,0.7429174556325896,0.9690200291738642,1.2568004011529128,2.4063370006704177,2.23054646219666,1.194762312341876,2.8298343110910293,3.005072677479329,1.896156160758033,1.4839473619303654,1.3019355873215834,1.3154501304850328,1.2444902241787699,0.789749750479133,0.7676518656539392,0.8552448997368708,0.9853985636207759,0.975729836071391,0.8314809110039825,0.8683459950773784,0.8801298795012522,1.0288790614432954,0.8676594997752056,0.7857893957536327,0.9399238312694204,0.7664068177471188,1.0670059476074785,0.8053491999844675,1.0178218398314909,1.296157449744796,1.0667738612617945,1.0772717327593937,0.8645269088737721,1.1356985146073202,0.793616052598101,0.8123429983695168,0.6992356094653764,0.7037883470648183,0.6509640587003542,0.6395374663821718,1.4902175108902864,0.723886098716097,0.7386254935877498,0.5557757754784182,0.594137390258483,0.6669484054153934,0.6383975451517031,0.7685178898758472,0.752450639521323,0.9125650836354455,0.7802625828048276,0.7804584943263264,0.7079971670163355,0.8183541779404631,0.6870246285050066,0.7170048714305581,0.6502944804613778,0.9143244715147888,0.6228206974489778,0.6787359325224324,0.6368414049511956,0.5915829176872553,0.5861323436625342,0.5537546637952107,0.6755598158159973,0.49129078919836633,0.4727285520743608,0.7357516990415146,0.4125526446839651,0.39604876453336835,0.3991980703659116,0.43844278150414523,0.48147435147470735,0.5006225233771102,0.5722345169227266,0.6073444145465073,0.831193207216797,0.6416781834725511,0.6200678528772452,0.6064887356080203,0.6185848735649007,0.4541694947405627,0.38318810451810087,0.40434985852259636,0.4417612796088511,0.42284964674297043,0.41096999129355277,0.46166776556431727,0.4301408402339826,0.4407672588843389,0.44628222633429915,0.5332591799894321,0.491838666913395,0.47031811164478404,0.6376530952363791,0.5041506591208527,0.5248998859166611,0.5335454312901327,0.7771936496545988,0.8600553702081719,0.7219346956368928,0.5751352282581005,0.5506252826304896,0.5607583252235904,0.5042186083497923,0.48920392322968936,0.47072156265087317,0.4451120672786482,0.5027709359522725,0.645671185768479,0.9096206202122462,1.970976197464247,1.3231481942876016,0.8047516852671807,0.5711761487432203,0.5913165426014173,0.5470283008393535,0.5573929260785363,0.52076682128077,0.5534215961717801,0.5185576072941805,0.5694993181864284,0.5443574582268851,0.6292087783079701,0.5787898464740461,0.7196225461218141,0.7407326851400272,0.7656985057014959,0.5616726641360383,0.5138680670037282,0.4980306513223181,0.5184246373993946,0.5293848176163832,0.5832136774810931,0.6012677347422182,0.7881552826074811,0.6136225067000727,0.6191482744159477,0.6854323546013903,0.5111218802267418,0.5109948564349801,0.6074777933457566,1.2374444235039774,1.6641568536062457,1.7368581270718735,1.8850315252411722,2.165868380400286,1.3160425860145135,1.8231111799646738,1.6340137271528217,0.722590386766967,0.7971506263606855,0.7036794224018483,0.6110010274964593,0.6045663036411785,0.45585620481320316,0.4710972936273546,0.5026911346883702,0.45115581690287887,0.4713711482465863,0.4475322878208154,0.4549122016545447,0.4809473034015284,0.5072660281072627,0.586586349652195,0.5555469287007642,0.6276044497423237,0.6466681420977726,0.7089174482696501,0.7328027336712858,0.7666142424497573,0.924319462074207,0.8851049983492139,0.8634948231787212,1.077466627647292,0.8099389845442581,0.6832211985458955,0.7197498259330547,0.6758536696226912,1.3235874298481578,0.8911863127699281,1.0255153344652124,0.8915227780136844,0.7390320908708493,0.7405229970667826,0.7875833069260263,0.6645174029269694,0.5363982513312161,0.7373027874619126,0.6682067749387609,0.6729830189607402,0.5118338145864036,0.981518137759523,0.665890144481914,0.7207595641089116,0.9260338928745363,0.5029351093221712,0.5907371993927534,0.6832669904240064,0.7472389835556221,0.9640533676886583,1.1009753511644693,1.0826563798687023,0.8616646584100709,0.7310842749746121,0.9065519970940634,0.7813068771103601,0.6232121591792242,0.7742148877753257,0.8374924486340591,0.6872245557557288,0.7285673244651988,0.9033251584209568,0.8890715252631242,0.7941617747796105,0.8178356058539126,0.7307633333412541,0.6709361538148569,0.6203197295649477,0.6110902013566157,0.630704319577046,0.5857588493720157,0.5706251578456003,0.5659862289163268,0.6194613830738667,0.5474519085651268,0.5706456864347587,0.7291651023218816,0.6912139075066951,0.661492784108458,0.691556921141921,0.9350808653651758,0.8406647972264616,0.8076453678694021,1.0023970259855848,1.2467398451956673,1.0458179080665133,0.8250009829081002,0.7650469708027692,0.6787212746675623,0.851628829798253,0.7142513214611358,0.7380160543840151,0.8001165430049559,0.5773745631154676,0.5121323114142704,0.44139381891625284,0.4512759228509903,0.43991368826795346,0.44473965626457185,0.6012688313216793,1.5182861728681294,0.47681080137387927,0.5804583774476262,0.7991379465023407,0.6023589267764481,0.6912434421069358,0.8836992811614399,1.6911468493475148,3.1741086791277873,4.450971498262329,5.469055911744463],[0.5193734881548435,0.39691833170971075,0.4635937379079104,0.3899366714709566,0.43847762723206246,0.4355182338538956,0.33811608399205095,0.3519668417099961,0.3515160544867044,0.3128598583549163,0.33653934189367973,0.47114646456551157,0.3728218388703784,0.38709022716003316,0.5248104676451867,0.49530662563886624,0.556661404327379,0.599657754424606,0.7663257307432885,0.7121161340314183,0.8326147337381948,0.7990714820235848,0.9834503772823173,1.2172489929288932,0.8174572251434447,0.8209736765627682,0.7182612904532978,0.5813015700104998,0.5495371983238531,0.5175740297311462,0.6302385486882123,0.5511426389154296,0.7217948815619213,0.6947504132536494,0.6072689972656138,0.5679000189372502,0.5286995769526958,0.5781971380291006,0.6009953120850008,0.6794578003237159,0.8234150488652177,0.7489322983325849,0.7577788142370087,1.0528698123658227,1.3581708747483974,2.506354363519712,2.394831272458455,1.3215216911939058,2.91278068594471,3.118946140526805,1.9683747589878637,1.5885960357227147,1.3461139235407973,1.3168410903083418,1.1733160298024425,0.8037137335996164,0.8070003465436433,0.8482156659897103,0.984464997960369,1.037237167645348,0.8457339526449829,0.8487382252426352,0.8541232635077565,0.972977279978739,0.8481112251241321,0.7772468389648333,0.9433018899275831,0.7348558495619797,1.0546530112834576,0.8314582041917622,1.0126489515307389,1.2503530972505856,1.089143975074766,1.042022324963936,0.845139398249796,1.0930984518628988,0.7646754198743791,0.7622934738570298,0.6575125267910036,0.68128552300735,0.6159936356951503,0.602109811568647,1.3977887462784173,0.6557270941256409,0.80135724797936,0.5339002025922053,0.5745036353138767,0.6281443279007367,0.6148336499024338,0.7121096719486878,0.7091559315106111,0.91579082792006,0.7428636499029253,0.7126401733489646,0.6526942886324837,0.7779547174388532,0.6792467477230096,0.6476727381702975,0.5849674955862522,0.8242901838187734,0.5543434272332607,0.6179052676174644,0.593479525842215,0.5352338980484529,0.5378100125217615,0.5057242976262839,0.6102309795362447,0.4634298640510135,0.4352584999297067,0.7071110852604919,0.36394773931869395,0.35590066781358104,0.36058169924260564,0.39914114538385004,0.45144013062515853,0.48592591699392873,0.5711989329455247,0.6086634086732498,0.8439753360586473,0.6405670926841979,0.6235056230445515,0.6068995926680173,0.6161481623657976,0.43079567718531625,0.34630461449644945,0.37747436645837745,0.39053264521973863,0.37793859220867865,0.36670539391005824,0.4339255171166951,0.4002472190706698,0.4094478621515995,0.4197324428511284,0.4948569079779947,0.4727160736953189,0.45592555242688104,0.638786336719084,0.4796696586041464,0.5083235753312146,0.5249275854403147,0.7839236655098094,0.869208426917561,0.7107467112880392,0.5628765891889497,0.544750703079427,0.5525007567110191,0.48824227084849364,0.4628699380337874,0.4363018811821983,0.4195701867250855,0.46329621451105857,0.6081208056306493,0.8104555597402626,1.8290082841075133,1.2757700427612448,0.7263089114937754,0.5329393600747847,0.5401421980758465,0.4956439035411908,0.5086477086915178,0.5034947226676171,0.5321555006319716,0.5050276719304366,0.5473917594056581,0.5463647541700347,0.6228934423912752,0.5798712987170684,0.7492585784011244,0.7632911190138698,0.7757877322378481,0.5646230899075697,0.5034698279667456,0.4864461618478634,0.48986527412624675,0.49589941082977723,0.5435734389307348,0.5715971967845137,0.7317163757133925,0.5829164857302743,0.5770860985551447,0.6647561551442444,0.4680763329482899,0.4968732359368463,0.6381717541858184,1.303592780103571,1.7447031347034683,1.825673933280639,1.9351900726355389,2.1783384935580234,1.3426332515605377,1.769593828147566,1.5242378089718946,0.7594117328554152,0.8126905158118407,0.7148571454878205,0.6070154358044505,0.5844800302192794,0.43995032153343266,0.4462798425550208,0.47435437754422394,0.3984196864216019,0.4220224702155614,0.39581769946416645,0.40410245387827054,0.4246823608031921,0.4573026894624663,0.5363178756207013,0.4948423335993637,0.5571411319164534,0.5933593828723015,0.6584774841229191,0.6747163397443346,0.7144984024899027,0.868038417527587,0.8341074854950397,0.805840227878068,1.006003114914009,0.7415718439539817,0.6030920485843464,0.6460494291066341,0.6012368444919897,1.2369662877487801,0.8293372920435381,0.9495484574167325,0.8568876467790623,0.6810993573814008,0.7048602573878149,0.741257379363846,0.6114840374146614,0.4868168084463356,0.6793043118664926,0.619347770331071,0.6156045075676628,0.46273584080103447,0.9686245018713867,0.6685663868398679,0.7076001417804552,0.9470599477060129,0.4759586449788202,0.5748698436490977,0.6462491632767923,0.7011481117309415,0.921988017926862,1.0502219104863668,1.0551854077907252,0.820028742540168,0.6927902476612723,0.8615266560655531,0.746986110910772,0.5766831654664579,0.7084338798004572,0.7815225496101376,0.6226411922747288,0.6560491437820665,0.8311752309706467,0.8498165101750076,0.726296983659649,0.7400231754062838,0.6545497185897581,0.5917593279473867,0.5527596630099259,0.5386529560282755,0.5494840996332492,0.5130227189663241,0.5035214388185364,0.49433793739134063,0.5517729926725756,0.48432685063203196,0.5123270580536624,0.6914605383426918,0.6349676873406277,0.6191529046788198,0.6455188223621514,0.9157133961424294,0.8189533873317615,0.7856070004987856,1.0252526290313617,1.2725390314458616,0.9836135087299844,0.7724651700158042,0.7052132219985988,0.6258440040474983,0.8078296180375324,0.6758258395074428,0.7164791659462894,0.7930714111123975,0.5645253088139587,0.48559552756219665,0.40466427172250724,0.41444332426908914,0.38666471808789526,0.3944200058981947,0.550774398826615,1.4615941846496079,0.45327150354735257,0.529910013289344,0.7660802904457097,0.6143222603420289,0.6549941986371935,0.8390492274929434,1.6096748525973048,3.143237968248168,4.336066927663726,5.404124196400257],[0.5334756205551885,0.4566139243986969,0.4735983133796535,0.41348931883572926,0.5075241398622383,0.4561764646618353,0.428572160959797,0.4836740644329089,0.4860221439280272,0.5124055296152713,0.5839853875838181,0.677102027869621,0.5955495270989675,0.5939476412623654,0.7746327382880354,0.7362013504862229,0.7398267919726492,0.7833128427622312,0.8839913418021632,0.8489901211859157,0.9638457165451603,0.9522137405133838,1.1116106460735315,1.380117177250799,0.9549892116524751,0.9398359942449863,0.8467398577675426,0.7226258971744821,0.7303602186642608,0.7262976019962122,0.8675215502523858,0.8011605402004918,0.9445833230323284,0.9624666675893049,0.8337597876417138,0.77818010212615,0.7436844933774707,0.77676105497489,0.7829765257190718,0.845351937431554,0.9390743334699423,0.8910023785988663,0.9422960133951614,1.2320976444660579,1.5240746221607544,2.59849033000111,2.5662848393963027,1.510012330011931,2.9313825055420626,3.0458159712599753,2.085575730413224,1.7382461753691256,1.5066211791285897,1.4102383999329025,1.201963984850513,1.0173238586324205,1.0349875084916094,1.0429615379866783,1.1140501949854889,1.3104583143124455,1.0208598114485141,1.021771123892659,1.0490391982489173,1.096194800762917,1.021303546100778,0.9555100353137058,1.0865670847893185,0.8799530680421439,1.157955249836725,1.0363974390182893,1.0518912421332205,1.2914694523957169,1.2169419295297232,1.1670153050392087,1.0232990551148107,1.2442749901466958,0.9604946012650742,0.9898379504830052,0.8853266206058954,0.8742123878280156,0.8263341877223384,0.793417822267276,1.4292805440058445,0.7971651053347314,1.0094704002284887,0.7248137020440892,0.7757689282453032,0.8412955477512347,0.8188437030182733,0.9489918143627047,0.9232202826041811,1.1621896482850944,1.0371322273865526,1.0334428559645825,0.9478851926086721,1.0955139179394517,0.9885169589259178,0.9007637422461736,0.8053944787365694,0.9253960637665604,0.7665732925325243,0.7302583659537942,0.7609833718572366,0.6327173091495782,0.6380636255574622,0.627523618697456,0.7005729475115157,0.6360658423203969,0.5607933700199851,0.7811914002832188,0.4858325058560545,0.5117592758818709,0.5032420964907139,0.5407251249330828,0.5885683504189262,0.6126982562763481,0.7168859131724112,0.7379819246142734,0.9971889516229588,0.7941290332089487,0.7495051261943367,0.7265560108584838,0.7023315701479121,0.547692073369963,0.4789911872336074,0.5286063326379041,0.4937166002804121,0.497652434824658,0.5056554811505274,0.5823017383890761,0.5508166098749753,0.5515871474137991,0.5921191560858896,0.6307779610585491,0.6307769239250501,0.6165610180278828,0.76967650387761,0.6419784168845445,0.6529221655289369,0.6734240017636958,0.906797074812279,1.0405882208727784,0.8466879946690258,0.7095836870994047,0.7100767482210721,0.7151248888028139,0.6298242593362038,0.6244262352625668,0.576244964383975,0.5748595006422214,0.5832840238100385,0.680985753845166,0.8256083949090803,1.7719329273118514,1.3178435633674115,0.8173762633805783,0.6911690259798534,0.6582445038922582,0.6612358009683827,0.6287708565444964,0.6329023946367376,0.697900932498092,0.6684063153023267,0.7144280755879634,0.719338644497635,0.7482515957437738,0.7463733976649665,0.9269148918546686,0.9175976550444738,0.901007374117196,0.7302005014482688,0.6547636172370255,0.644256851907363,0.6489247660365146,0.6708560869125335,0.7039623520654114,0.7565908175417568,0.8667097216652724,0.7661869572903388,0.7367479134015059,0.8213723880650946,0.6128596675718699,0.6807541509444339,0.8651731852004793,1.4294099986522169,1.9089237821330527,1.984892192322435,2.1112873566159736,2.1733140102975783,1.490208274906997,1.7284491692982173,1.3655594788383763,0.9789212215365307,0.9242313554333027,0.8393781496649116,0.7633972475085541,0.673078448562832,0.5931393275924828,0.577307532954138,0.5902247841484649,0.4832729190739208,0.4887175648002609,0.4743039374229687,0.46975709630715784,0.45705516588405726,0.47698245335217276,0.5104112468154226,0.49547393922387445,0.5340900042539892,0.5790583938942431,0.6419683272234948,0.6446746700636279,0.6894189746282534,0.7989971956658529,0.8091746034532264,0.791461787582612,0.9606549565643463,0.7255676114676215,0.6031380976670362,0.6360856173639062,0.6045795537685823,1.1970200306317016,0.8119421285767141,0.8930992997817092,0.8871718766916452,0.6907116142264067,0.7133186977759876,0.7549394201096348,0.6474547513306103,0.5646754173281827,0.6971304661867022,0.6972922640520768,0.6947149653855542,0.5697722239234885,1.0394260572117213,0.8253606118451029,0.8220872952241879,1.0672353205988354,0.5852736643854506,0.693733398741154,0.7044552816727608,0.7151107011251826,0.933051377613322,1.011719800403282,1.0497037022814988,0.8151211668293878,0.7010774672366278,0.8597997729662509,0.7445532451971619,0.5836819447896829,0.6818579341185187,0.7592806010330102,0.5852173933053763,0.612618763257807,0.7680605916674546,0.8242270875290716,0.6855496013202635,0.6843028689352324,0.607971381300818,0.5589329679493287,0.5491223459514593,0.5425278209617298,0.5252116136865633,0.5076908240754474,0.517387039074617,0.521821074757498,0.5651381873439929,0.5289390663555065,0.5684624070306598,0.726054255131903,0.6583787252604187,0.6809424189456981,0.719778126379243,0.9914563223803896,0.8839876087642777,0.8338590253355105,1.1640408520633123,1.3769196089545088,0.9932511032447264,0.7846228346658137,0.6947839216054157,0.62100494574765,0.8186871153510898,0.6975164539951804,0.7667748791712972,0.8147648185408398,0.6318914445903193,0.5466513586455759,0.508411979611472,0.4993533346393159,0.44243517674088156,0.465871551196319,0.5496873207342594,1.4354475648991947,0.5098751021294969,0.5139303978178013,0.7344814262132479,0.6450734533143381,0.6306216055813774,0.8014276754589607,1.5289966368686465,3.0812432386301474,4.204848870291544,5.261052981937057],[0.5445348857291383,0.4256693137875965,0.4339750415141524,0.39812542634864884,0.425429193966923,0.4289889675440457,0.33447082366372255,0.3713884144177881,0.3635526342759989,0.3551763740154364,0.35269239584347695,0.4647396810182028,0.3838139375314198,0.4147536559070111,0.5310619979324567,0.49605232688647344,0.5500231953514034,0.5848727602066383,0.7599753343241868,0.6968526187591991,0.8267251354099316,0.8064029766620371,1.0242894968076424,1.2758007059843606,0.8250312135230395,0.8180017082987482,0.7144694769154367,0.5687144722691441,0.5373727944446972,0.5069836496351099,0.630831989120463,0.5401591628348732,0.7207958301669968,0.7079267634530678,0.597111696048576,0.5634372250920548,0.5094983930280034,0.5760378407633618,0.6007916668734471,0.6726712308401879,0.8334816557397747,0.7622987088083056,0.7992755760630261,1.1555547103262345,1.47799815765202,2.6241877376623477,2.62368500813749,1.4978797401703385,2.996055461641106,3.23805394417114,2.055979611759838,1.6896307955668393,1.3808123644928894,1.2803475750927955,1.0977519743925384,0.8277433807596063,0.8563114682938503,0.8571471586276653,0.9849371349868958,1.1141370355982783,0.8624560709226883,0.8635041260160652,0.8760105000358397,0.9888548123962835,0.8739614250974448,0.7775907230064059,0.9388547652558699,0.7280548587292477,1.058247495743942,0.8497710497454757,0.9662263954822962,1.1970189823694997,1.083184283532393,1.0566973620416555,0.8705474939188768,1.1433400352160557,0.7810611747050886,0.7889795093084536,0.6697984657854517,0.6792732177470329,0.6045708336320772,0.572341252037816,1.3390257132576715,0.6278732506730207,0.8665934089655236,0.5175800342324675,0.5618198423306598,0.609739934935758,0.6187042670657673,0.7225666949645628,0.7248369507603117,0.9585634027623706,0.7917233623506447,0.7427972896161363,0.6617579459593012,0.791663844257506,0.6735597875362214,0.6421549709056789,0.5638832089713526,0.8074355589820734,0.5355808130491043,0.6159792900529067,0.5697831903003231,0.5020678651476557,0.5146004093387931,0.4934748462161799,0.5931914164532015,0.4646536404806384,0.44447467409686087,0.7162710516967972,0.3703194112955966,0.3689321318462284,0.36760505588628983,0.3893844126119157,0.43162462323239903,0.4795374630177781,0.5617180015624582,0.625875510250418,0.8969353173597995,0.6457872632856992,0.6297675277054419,0.5952206813700894,0.6165776185166559,0.4414459151415794,0.36135914618169923,0.4040455447217754,0.36467962235334683,0.40253308433522833,0.37075047069469264,0.436814310322472,0.41686049048831464,0.43227562962302,0.4626964800791194,0.5116713062407252,0.5264889043551613,0.5106072075917379,0.718709332702283,0.5363044919887456,0.5427744682746123,0.5310755146918003,0.8042823221838752,0.9076466059577388,0.7151046859442477,0.5592373048446642,0.5444796933224278,0.5411013059506719,0.46832272229229055,0.4564529902577154,0.4164864414217491,0.435461160753578,0.4720279571464972,0.5937937190817597,0.8182504124278753,1.8607096561933292,1.2750974112536109,0.7034860270253456,0.517276194969133,0.5158244504324526,0.46425928875714384,0.48250010445243285,0.4720952985158976,0.5060583648487182,0.5013389353197877,0.5352264386317148,0.558070297729083,0.6414559073848292,0.6166996574386476,0.8412697275426343,0.8648017529063929,0.8342851017979919,0.6160336956016637,0.5259088931642056,0.5005042572133641,0.48573704176882904,0.48240186539131397,0.5271326796047474,0.5562088949493371,0.7322454058455274,0.570763853147684,0.5502963518039152,0.6616613096296812,0.4522845788202198,0.500868880225932,0.6654826177157137,1.4100619743073695,1.8192425559409862,1.9040756403890355,1.9897960339465206,2.228867245760213,1.4145765975539133,1.7272589733650185,1.383176438922668,0.874163919568912,0.8691614643545824,0.7786412037270185,0.66364196230403,0.5907589569277093,0.46079715606497157,0.4567122959015448,0.4914058653445884,0.38143566752817265,0.39690073996599756,0.38361807977462087,0.384033197393631,0.4011230657398403,0.43399297686438953,0.482166166196771,0.46606725914448305,0.5344513363709426,0.5597145904462616,0.6307211872549212,0.6565528898196007,0.6925738544015777,0.7905241241455792,0.8123642079231714,0.7876962201404235,1.0125104101108167,0.7445514807208963,0.595053439703622,0.6394462268633426,0.6019252814813537,1.220458835279776,0.8296465468737007,0.9238876913460307,0.8325322997400566,0.650935936188739,0.6798206271542971,0.6898775981852298,0.6291101610191983,0.4792575586669178,0.6512067235614486,0.5901683557763959,0.6311894834184734,0.46349477664607636,0.9610298894067083,0.7500651993770181,0.7489315195605997,0.9958172006906449,0.49337060896579416,0.5638774340206925,0.6093659762581429,0.6659209933800897,0.8912115704977661,1.0065998324105585,1.0143251045890196,0.7980081976536938,0.6743237368522953,0.8388689865309984,0.7413192565027091,0.5708470706608787,0.7137738234737868,0.7926673031337909,0.6266822969519349,0.6623764299085454,0.839102067338157,0.8545579711224347,0.7200438790972495,0.7435336143303822,0.6519823714034463,0.5840392528572651,0.5473137086373014,0.5236406778147985,0.5338160618286293,0.49586960759280463,0.48335170018181606,0.47616558343439963,0.5274746323324015,0.4635436069963878,0.5046366111665298,0.697951997975561,0.6210788610850876,0.6668316316809636,0.6748967501602218,1.0359512253848795,0.8948864919755577,0.8237966275433103,1.0668574682366974,1.2817206401527734,1.0369258891217663,0.7962570500680561,0.6957016419626281,0.6056231039011705,0.7995162035218031,0.7059687873202413,0.784607764171071,0.8095865275325005,0.5961070675370866,0.47489999957237583,0.3959336927376798,0.4020625248941222,0.35337862497282235,0.3891043332441431,0.5241352843621486,1.4599720947282357,0.4522711735803512,0.4964692191573265,0.7164300343881109,0.6639778497219723,0.6022228583252527,0.7726810112985864,1.432773013687157,2.9608647106179586,4.078114420064979,4.776715312185446],[0.5101255792064183,0.4575330215192307,0.4842847900152302,0.4758521929875895,0.511909043215497,0.4393083919279983,0.3890508926820275,0.3797503430524638,0.41008697708325265,0.40290626572891686,0.41909605727844673,0.5142394336011106,0.4530449161838242,0.472102784072782,0.5700611293792072,0.5289312507297438,0.5905403927060632,0.6280919525130603,0.7931439111389098,0.7320593660640076,0.8342049700254704,0.848596700955024,1.041865441346802,1.2721254018877601,0.8727791835625586,0.8506523238654219,0.7652000127897008,0.6409184127916627,0.5975268866774384,0.5479545373175408,0.6563150089837537,0.5599822518482871,0.7074199054319851,0.7165065520741661,0.6079483020705351,0.6039125528950239,0.5553490040498317,0.6536255501708953,0.682984896459,0.7568610811578029,0.8835450736276463,0.8381230491665642,0.9366111079375642,1.3287357249499419,1.6547220486337522,2.774078767965573,2.9546845223741114,1.7986053217898539,3.0997381752207276,3.4231467956429706,2.272511855843599,1.8323425652834204,1.5238356749083617,1.2990613278976164,1.1332437323584594,0.9760045656571783,0.9999433480660176,0.990104138836941,1.0848535883420725,1.2359905960642905,0.9286921920718755,0.9214353588217414,0.9066351514264203,0.9989407420673054,0.936438052313999,0.834860140588003,0.9849262679656633,0.7453564167587369,1.0260634886801714,0.9317260224379942,1.0110670770592058,1.2615469315573509,1.130489871302335,1.072747434615188,0.9009970665173219,1.1562053003063602,0.8220959008690335,0.8178890000721761,0.7270070003453938,0.7331759934698276,0.6622753396254047,0.6718684040492983,1.223848363878176,0.6682630274693336,1.0105141980229067,0.5864111035079755,0.6331205097302497,0.6411440565999613,0.6659560112065985,0.7400204725096101,0.750118367005436,1.004279453049065,0.8317901402664096,0.7618304374942048,0.6903191581067735,0.81495810603456,0.7448540609283627,0.6554565960184575,0.5659584655393759,0.7742111589923485,0.5367199357423711,0.6120871097509211,0.578169249716527,0.52671710762382,0.552272632646555,0.531511331258827,0.6299045749587737,0.5480467670264859,0.5325792046811144,0.7560695256264738,0.4595363218725827,0.43190153984904917,0.4399774686879038,0.45349936616884295,0.47964671392199504,0.5494953650732308,0.6249522911734884,0.7071156149308366,0.9867901198788083,0.6893881081457114,0.7058060129337594,0.6211731156663214,0.6680185644297437,0.5265232748221852,0.4570862414635217,0.48990188127867657,0.4698499503309135,0.49619274198021973,0.4930968567096144,0.5229021683535725,0.5338797388398748,0.5342037501981939,0.5797694845574481,0.5885667921050167,0.6105377556284427,0.5977119655067585,0.7506504553470844,0.593098565416666,0.5782574074301301,0.6116628915649768,0.8848790985476482,0.9963045177123371,0.7919911839196969,0.6486004759096674,0.6465615631855651,0.6200123153677618,0.5507009925212384,0.5329056742797801,0.4727623754608005,0.4794169507067233,0.5167842136746724,0.6095139055184555,0.792993551266616,1.7502920336970806,1.2779692363677329,0.6746476687570047,0.5343393091210091,0.5401722337950862,0.4961239614868845,0.5143589629837847,0.55024110352381,0.5795604051298493,0.5780137109560621,0.6149614837579622,0.6288246565541623,0.7254312665359457,0.7253253174667089,0.9613598215796579,1.0047180855059035,0.9199502770958551,0.6962275083250108,0.6168191680872552,0.5761080371807872,0.547773477149803,0.5444417272760809,0.5632042093295744,0.5922177501153367,0.7005352588820772,0.6047916690643959,0.5739823973956288,0.7289873726371768,0.5015649013793949,0.5951634023427402,0.8178124823047785,1.5691699285602467,1.9071531009594265,1.9898366395814227,2.062972651800486,2.2527902556850243,1.5176659207706806,1.6840761834197977,1.2710756932679388,1.127408073084575,1.0135073750686447,0.9130592996111976,0.7996022753601485,0.6648622729094718,0.5937778033716583,0.57728725475862,0.581190369926177,0.47571135347400667,0.44965202210003985,0.4533247211779409,0.47150947794807063,0.46305602033288695,0.4879506486854141,0.5360318311281654,0.5457842920674627,0.5701757439428793,0.6051476157285228,0.6902933452667361,0.7215344641973401,0.7497555589274169,0.8327298087195054,0.8978362143007452,0.8425571334699272,1.0647192525506606,0.8014524144753785,0.6750707365301848,0.7217082658070921,0.675268992429141,1.1654622865592175,0.8321764255794636,0.9735651028892307,0.8816523626523698,0.6459760421401511,0.6597186515921398,0.6491516568854259,0.6533882801480608,0.5279386420666702,0.6770496034851008,0.6917607768615202,0.7538759447479938,0.5937590816143734,0.9809342104256324,0.9191906534775963,0.854236314646166,1.0906177988026242,0.5961049038746048,0.6464087781762093,0.6371952067316902,0.6588627531760068,0.8323200213707307,0.911162002418585,0.9433524258676407,0.7565454020853212,0.6538429076568455,0.7915320692201223,0.7078700052399819,0.5626081076946108,0.6859276049894226,0.7832056724096755,0.6298087707296983,0.6725555383724598,0.868707894753834,0.9297666329275598,0.7479285334663132,0.7667042120296805,0.6830114076952366,0.5978716496580901,0.5552862180165152,0.562056355606452,0.5725135057885903,0.5562995652783612,0.5653868361419934,0.5625426501594855,0.613778097780905,0.5434704288426268,0.5855636525487691,0.7946480488359984,0.6938175628235584,0.7402457458073846,0.7614532996641834,1.0955044407763173,0.9427345675055376,0.8697459678749364,1.1714432632663587,1.34177091817701,1.057546153793289,0.8316165441384078,0.7361053467071599,0.6695913804346114,0.810700676562948,0.7583650471921579,0.8580984564279288,0.8864519783850381,0.697495884881764,0.5639620817770654,0.5056593746784382,0.4951018276061071,0.4216823858799014,0.44176370038373963,0.4777490721359673,1.3501765466030846,0.48246718670911887,0.47844798260576066,0.6173855391525686,0.6606408121216084,0.5471969914580295,0.7091882060916433,1.2424227603361078,2.7550265151487072,3.731922996840521,4.32369381574125],[0.5323662185970622,0.43111913119666573,0.4108695401792464,0.37436502048813136,0.42352438872191517,0.3693179508563588,0.28904573809946676,0.34048989345108327,0.3655274684890255,0.3194811867796767,0.3502543369003624,0.44562432928071305,0.36150381457297337,0.3924263959357368,0.5036076078373777,0.4562005580892533,0.5011313036017915,0.5419044739232568,0.7054069892973972,0.6356031145919374,0.7609492897724464,0.7625536234798704,0.9321418819155899,1.2024623410657522,0.7898933850885655,0.7737730142513746,0.6470466322748369,0.5114362363700785,0.48436234664712696,0.45276026133849134,0.5853023281340629,0.48866793370341943,0.6683922462860474,0.648830753987445,0.5397578320967504,0.5129827018420774,0.4401190871100341,0.5203842099211106,0.5368839383992513,0.5935641492265262,0.7692383370882265,0.7010970691011971,0.7659366011912062,1.1825818898486822,1.5729667495723025,2.730252678712252,2.8874853889101333,1.685299263273733,3.0782631415967208,3.4756531865738465,2.1685603657068415,1.790226772992598,1.4092363217141506,1.2153831104449484,1.0744833928175856,0.7979509913311857,0.8376702292244241,0.8188604947336594,0.9628914618280094,1.0786999537093072,0.8218281660094219,0.8041227456312802,0.8216499395042304,0.9257009475654603,0.8404573760072698,0.7299388945831489,0.9064487641934447,0.6738610525614823,0.9926682200358408,0.8561566016680886,0.9655465499698863,1.2066173338669923,1.0821679259318464,1.012357204890823,0.8356528132758604,1.0945324063010256,0.7318832403556734,0.7340078153666875,0.6126214196378975,0.624984492991647,0.5426671949783295,0.5209637630958077,1.2309667185760558,0.5569669994079482,0.8404569119241927,0.45058508608980796,0.5011372315175758,0.5420717542227774,0.5586560780115135,0.6584885490717881,0.6670655368031113,0.9129252915532332,0.732588545329175,0.6762512527111689,0.6100180371882814,0.7495852273238411,0.6472980134298694,0.6106870875039021,0.5387726628549231,0.7856810804695787,0.5116580130692665,0.6148953285039982,0.48804867471290414,0.4685059399478746,0.4718541898881061,0.4645017995857507,0.6051111364643736,0.43642808954367135,0.4157635209026877,0.6873060433526698,0.33878390689976684,0.3127630488692757,0.3085399637608161,0.34621698857628525,0.38692838211428615,0.4253601693757176,0.5006517520479395,0.5817400415945971,0.8724876978141686,0.6149530986506206,0.6074447926461569,0.5447053184644468,0.5571653661785456,0.40259665267691697,0.3292284967037854,0.37494861089151515,0.31867107477240764,0.3490639704579512,0.3401319520696991,0.39658305522822124,0.4233200729778458,0.4287855423562428,0.4502142541464377,0.44958032278200133,0.5066874837288815,0.5013351192314138,0.7275892707955005,0.506115615108362,0.47824851550277364,0.4846986928020506,0.7769045150593092,0.8497136607660244,0.6643550023681207,0.51712733993926,0.5048637513355804,0.4826984803166584,0.40688341108907916,0.40489375164609376,0.3405684568631539,0.39518911589770894,0.44188374970417177,0.586809555656009,0.864913467347755,1.8733057590092055,1.2605711138962572,0.7014445728416688,0.4850536088016959,0.48302065994976423,0.4159505989314904,0.41603968568579347,0.41764380813696944,0.4509042429981985,0.437314640313241,0.455074195210626,0.5270872010626029,0.6316700015540782,0.621785562340161,0.9025142811565167,0.9384956965511891,0.8664880746034499,0.6183010373438457,0.48792913665496496,0.4510215696979335,0.4353388965437867,0.4059852859550516,0.44391140671381507,0.4765928708739529,0.6411678695435897,0.47562167723202137,0.4743438524059502,0.6215606318644716,0.38713941808693314,0.4589680413403569,0.6772667500675761,1.5666026762800336,1.8578788928094596,1.9780771718465147,1.9962626910844816,2.247261076587706,1.3724547377957068,1.6164789045323642,1.3062672735158958,0.9967762952967785,0.9284745268962784,0.8278243658605647,0.6925542650678973,0.6019774215810132,0.49832378605031075,0.4926607129001762,0.4918435318333829,0.37425486462380336,0.38636591362632633,0.37471401660803466,0.40198350441199515,0.42494152435682886,0.456528115732547,0.4822061069975231,0.49694792298808316,0.5794015482613828,0.5791300514702344,0.6602818855204765,0.7236159958659989,0.7638078633744056,0.8062172940806914,0.8811987840124434,0.822083532213182,1.0657280703683383,0.794927475015313,0.6499861474356817,0.7067732670596248,0.6823539420112096,1.2404127930756312,0.8712213497930149,0.9402060136956867,0.8743402040403488,0.6483626856156793,0.6417581122956914,0.5983740994125831,0.6500495813477147,0.4571790595704656,0.6132800293272276,0.6021148413212087,0.7089716012136864,0.5130500868501588,0.9192307582546126,0.8652665354453994,0.8250115035810869,1.0246950396938266,0.5377893876671941,0.5534799771116393,0.5793130344437161,0.6278007733860297,0.8409932637429202,0.9931423227607529,0.986490755435408,0.7824608775451587,0.6690014560698526,0.8345083854689797,0.7651233022470288,0.5731789754790525,0.7378420160636789,0.8317195924373463,0.6554684675127853,0.7132434432996074,0.9264219968076347,0.9585341094883033,0.7850089262137269,0.8214581571571796,0.7205731602064362,0.6370778176361903,0.5722302702833314,0.5604253096156377,0.5906605351901739,0.5446675444218494,0.5351690021479524,0.5441293971962569,0.5931455438101942,0.52150882350496,0.5626247205192249,0.7862784513616915,0.6865001030626517,0.7385741545622523,0.7501976118741183,1.118835888687616,0.9710467558826228,0.8946517118786766,1.1328458364390066,1.3047339554011594,1.132215840854495,0.8395002963451499,0.7215050414880414,0.6230814769515985,0.8082778210200939,0.756371285857447,0.8692579984036151,0.8647628516492141,0.6573846104831637,0.4920801371761651,0.41356536762525803,0.41540663425393043,0.3641039588287046,0.3866787026236847,0.5111544621522345,1.4115614169944817,0.4575449059595323,0.4982785367798701,0.6864386860850418,0.7114142342187082,0.5550940029279009,0.733374534365128,1.1761537255221417,2.6329886984861335,3.6435713661328855,3.935268733964319],[0.4862087445215126,0.4656042852228312,0.46889142421323976,0.45018746513292546,0.5285758011909603,0.40192241903051146,0.36978408265341384,0.39275410419813417,0.4352833359508707,0.4005370030971861,0.4014904207363102,0.4764894021761437,0.414999490054019,0.44442787503224956,0.5153233924208418,0.4794676930381377,0.5377414358963875,0.5580023003016342,0.7185706778229207,0.6575725422663995,0.7550776399622303,0.8030624804137746,0.9711444303614014,1.145799539649709,0.8280055021161243,0.7965661395662295,0.7004231836972217,0.5828921236927552,0.5351205780507833,0.49406192127910814,0.5641922369489469,0.47646735342709134,0.5908528246365445,0.5813149955887242,0.50784051763625,0.5237005994245125,0.49437863036921054,0.5924465670436431,0.606524391624393,0.6934046437375743,0.8607886348229097,0.7984250335601889,0.9123433893635702,1.3768710411537104,1.7713072332201922,2.8843598580594287,3.1985903146380346,2.0228857811163294,3.223430183765492,3.72906118588306,2.3976689852556596,1.9791651985642,1.5323031035121415,1.2049765866621795,1.0856434028347504,0.9321370290049001,0.9782518064406073,0.9479286654661926,1.0769454925471251,1.1838153808967673,0.8693203590923019,0.8291956164330585,0.775222371360887,0.85324317643581,0.828441107113931,0.7268780827545972,0.8609462733481434,0.6558622457769188,0.9602533400692468,0.8504429121615067,0.9911360105927682,1.222181244376482,1.0428836425651669,0.9778060617989878,0.795511406263713,1.0587399611405024,0.7035642252796969,0.6736210510658035,0.5968336263808997,0.6311148176091437,0.5613095724712179,0.5898086829546675,1.1243555674405108,0.6633569701053592,1.0037962005571617,0.5255843516245562,0.5610825488686084,0.5923794906468433,0.5698645230454212,0.625625852117567,0.6405589281504994,0.8924462957265757,0.7127257200227497,0.6269101040665536,0.5797164373976925,0.7055260685831071,0.6410315487900968,0.5586675771326648,0.5119669816809582,0.7136682767822654,0.48895502617215364,0.6237164029365522,0.48665463989374175,0.4891368543066114,0.49275317525179574,0.48032050786932884,0.6128292104554394,0.5441000954231109,0.5137873080519118,0.7353436561606096,0.4406498720435403,0.42395134500834464,0.4021524428701819,0.4520344000663387,0.4441125830195129,0.5008908094546936,0.5619508582966136,0.6626417285297407,0.9045088441756742,0.6410544021595527,0.654990002619909,0.5879745281179167,0.6222649336060732,0.470591352480841,0.4470142642184249,0.5007449282273563,0.41781510393764826,0.483592931875426,0.4808812680853759,0.504578677448403,0.5633771022971242,0.5583683358305189,0.5879503404916457,0.574148534867051,0.6572473555028371,0.6490947062367731,0.8377048454742848,0.6543606450687742,0.6023639198111178,0.600412543634514,0.8244863899203788,0.9207340152433852,0.7305777577230117,0.6225354757370589,0.6216157844515006,0.5612110821690255,0.5040567476730118,0.49655114499836667,0.415788936064299,0.4600942929182099,0.4953619669376812,0.5797299935959808,0.8137685428002169,1.7200407711917185,1.2232131013429193,0.6332547942636958,0.47649008470171544,0.4802113227220758,0.4070432314693089,0.44614849028810055,0.5154294427525717,0.5264218187600841,0.5644590222989431,0.5668204814352412,0.6482991172626295,0.7565587646373795,0.7673221856824521,1.0369997198125656,1.0917637673992378,0.9817035920663724,0.7623431399374673,0.6461692763739258,0.5959617120444314,0.5420236425627095,0.4909606974583869,0.4914713420594868,0.5351315926438318,0.6637395205330201,0.5377402474384786,0.5244405829311036,0.6543634227729392,0.47234178563180773,0.5907282954027386,0.8020357157874771,1.7487647289987387,1.9157791107800515,2.027303906511392,2.058146648160807,2.328600230372788,1.5079564392847649,1.632235103918686,1.2009075655821149,1.2490358118438274,1.129364974825371,1.0028325052964018,0.848456369634805,0.6763199548675364,0.623006043189017,0.6054557759927712,0.595613258220796,0.48154777200318793,0.47015553584984976,0.47261789100025386,0.4972564260994741,0.4928438593530647,0.5167368371848104,0.5667436222658745,0.5666712949657047,0.6244600105121627,0.6418851571305197,0.7265431659190915,0.7956147250610961,0.8335953391027671,0.882141547477506,0.9606627210786215,0.8844999531484887,1.0933476883427882,0.8405341233439123,0.7142713960432951,0.7754284125033951,0.7391998905534107,1.2327101120215993,0.9155555680064603,0.963896083864632,0.9192471500115483,0.6827468342425016,0.6741655205761307,0.6137460959397034,0.7295456004815816,0.5423889633766706,0.623143824841413,0.6485299363599635,0.7623784585858836,0.6007710396509426,1.0144433225758416,1.0053172268705435,0.9185105376335313,1.1592743322405443,0.6593108852705309,0.6507527968718032,0.604275956132757,0.6159211569917173,0.8159041760519475,0.9616619638478677,0.9726296571411941,0.7803885354885614,0.691427001681697,0.8036357314797474,0.7675997721425427,0.6100864782534265,0.7574493566876668,0.8651948352995232,0.7016256118963647,0.754617140641494,0.965480379430445,1.0524955244216068,0.8350114966185993,0.8578877938117849,0.7629025894358117,0.6757478733985107,0.5985669820324536,0.5867439391213582,0.6340327561791625,0.5933348384370445,0.5820344867849416,0.6117741364204655,0.6563538079805712,0.5932899066634596,0.6465227930985167,0.8519903990136078,0.7329090334623816,0.8195759065213735,0.8106917388810236,1.1436613124967894,0.9875855429986365,0.8934773761804765,1.1817510559578563,1.3303319448511608,1.1383855070701578,0.8450082572713227,0.7448186556390611,0.6823834025197897,0.8048075699055408,0.783044851271399,0.9061829389974504,0.9208232727063551,0.7446050559309764,0.5725912717136206,0.5364620574297833,0.5324120694870582,0.4688239460763439,0.44482545437710036,0.5043110186828802,1.294769775834766,0.5030212126278437,0.518244109694672,0.6174823800698757,0.7130332880832231,0.5329939517632037,0.6995092552700787,0.9870520086411197,2.3858652163043392,3.2253278726600003,3.5038542296109436],[0.541318775486485,0.48446088210998767,0.4975586900275015,0.39042267962281024,0.505826392390414,0.4068701631028117,0.34829360421019395,0.35657078554292837,0.3741701838093394,0.3776814503904458,0.38915352888681964,0.45164992279956995,0.40056049503156627,0.44845944072305965,0.518653080380323,0.47446426592207747,0.5131879892972642,0.5435299592028978,0.6930527799893613,0.6302727517223999,0.721055542584463,0.7817238413600437,0.9430381108138565,1.0677040896282919,0.7835756843470922,0.750624794824093,0.6488461364148358,0.545424096784029,0.5086731088140851,0.46286403045777463,0.5683197102702423,0.47046595615381,0.5825822333850869,0.5816484764275184,0.4998550911199539,0.514777129764473,0.4629069351194678,0.5547013853145263,0.5598151761914669,0.6450022585967691,0.8489497628840491,0.7598809463482294,0.8793837455913032,1.3767854989773889,1.8119248300016573,2.9052930466669733,3.295415204412788,2.1029551497790866,3.231409158734719,3.8502777450262,2.4316659268105787,2.052453233465108,1.5275326823116993,1.149043529984709,1.096443059852972,0.9076446567290757,0.9472285934658103,0.9259037217015741,1.0671202189081708,1.14082131011406,0.8393045660479151,0.8072945530988297,0.7610252240115348,0.8435572398869637,0.8098411634090941,0.7051953124479601,0.8717080600731654,0.6503453972031691,0.9570773670203011,0.8715275455843209,1.0190191618633329,1.255872886707749,1.0767259526271975,1.0001024799146299,0.8089715639229916,1.0554475238404202,0.691696464676163,0.6682990965844814,0.5724507896964679,0.6084541412603826,0.533208947902327,0.5620039074041945,1.089410645128719,0.6201441336648551,0.9677916174677017,0.49346882721702373,0.5302719169643922,0.5633237707011547,0.5519118907502175,0.6145529212054277,0.6390814000222244,0.8843938992529745,0.7166150880990315,0.6387436675364978,0.5919214505344548,0.7104893660287315,0.6551873252216185,0.559187183222513,0.4856079599875543,0.6687012367054104,0.45408012077723614,0.6011352483555439,0.44661699315576775,0.4971416488008792,0.4824479776131123,0.5155775237122899,0.6793597689805378,0.5654274614254781,0.5719038583204257,0.7665315578304072,0.4967533606499402,0.41235373474027387,0.3682925547285095,0.4149037648556217,0.4104105925330117,0.4726997975551945,0.5284177878719679,0.6278936231458919,0.8592740359679849,0.6439424291295185,0.6537896919111689,0.5717624903964317,0.5950804738782851,0.43879524462680136,0.3983304716015954,0.4854937575106625,0.4624780365468375,0.4829017365310515,0.508551627125885,0.5267898871937863,0.6038559613353451,0.5970966927498768,0.618443626591482,0.5803612084873238,0.662131386743919,0.6460736035833795,0.8388667954668542,0.6465730228139602,0.571445239042789,0.5612108978769847,0.7715386676244788,0.8776143723235406,0.6729232403090395,0.5596840998602662,0.5846562353655409,0.5161981527138165,0.46161064349899456,0.4411925331154628,0.37795457278689115,0.42910448561719844,0.4616211050490138,0.5404574433512075,0.8216501481256085,1.6479216100665344,1.1470184669011976,0.5987250894612708,0.42227340147001213,0.45267497795101885,0.37915939279950617,0.4246244335736092,0.47302418293188087,0.4754442031146004,0.5212227503992314,0.5253970075367582,0.6445108130129542,0.7832275342513264,0.7538504209140401,1.0407865379889256,1.0916106870271645,0.955146428723962,0.7389786469221945,0.6068947639177367,0.5579736514300374,0.5112059891200427,0.4378154006599756,0.4331690003629203,0.48666330272116115,0.6262784123434951,0.49203527955062715,0.4969953003438254,0.5863993375276633,0.4375663425937092,0.5647040621397112,0.7541430775474406,1.8871956948991762,1.8990382487074213,2.0499095946755954,2.043977771063536,2.3608742345669693,1.49162276107401,1.5643870258814245,1.1727250953887296,1.344444560893235,1.209086721334719,1.0750667877258955,0.9157769340098846,0.776009168320617,0.7041789816163271,0.6889674273391474,0.6456531079677952,0.5563734925252453,0.5102440216678891,0.5108349398384523,0.5425491729295642,0.5451331197664889,0.555486153017173,0.573744145023863,0.5893273390000906,0.6754725239192829,0.6577772184727501,0.7245930200550166,0.8423152017913976,0.8956579471193479,0.8925891285874589,0.9994378671040047,0.8797190210402115,1.162314247025572,0.8622684374770863,0.7351418967678232,0.8415100882538226,0.8300938997735969,1.284193028961175,0.9903121057919736,0.9905674345614736,0.9504807308562025,0.7332089677603514,0.7578009940583766,0.7155086798236632,0.8488571395836125,0.6257300955904329,0.7117683111134899,0.7487441474628117,0.8465620301118456,0.6859525363745782,1.017900856568644,1.1612235496759826,1.0221042870630848,1.2411430535968,0.7329880207419538,0.7001394297438835,0.6449219887591248,0.6731063214898289,0.8413721394250492,0.9825241820664764,0.9628668213548238,0.8243790122871707,0.7240523080892283,0.8438651318574855,0.833003656721905,0.6594965795978041,0.8322365669267845,0.9437606708599816,0.7737661798228482,0.8510706380911451,1.0701550880977855,1.1553100965501963,0.9171481241122994,0.9589283302918711,0.8496151551058793,0.7633747596894542,0.6623632868283141,0.6571787287136966,0.7103599900489935,0.6508404096347631,0.6232978371490772,0.6745968171546057,0.7055486646132982,0.640722414842135,0.6925508081665512,0.8629991227272888,0.7676778145271971,0.9127929423443337,0.9293519815176142,1.3220887179195153,1.1321127286630468,1.0117907250036366,1.2636207218364828,1.3500704201451545,1.2144014550853015,0.8991103003000751,0.7562807977591317,0.67538837992864,0.8139868176495041,0.8726498140965492,1.056906170836157,1.005731345941596,0.8550154708788017,0.6503697294792303,0.6032959861348443,0.5739896165319464,0.5105322816014207,0.5132718931590852,0.5783266180817936,1.2660791821036306,0.5762178119969662,0.5507090896950718,0.6393147793155047,0.7794359152151901,0.5190831671645645,0.6558425380354979,0.7922254918452586,2.007778013595505,2.7764404058978718,2.707786141473723],[0.6098492527155757,0.558641724962696,0.5036744384464568,0.4357595079521908,0.5216426999960029,0.43845908454497223,0.36254415923346783,0.375958194069916,0.38409654245644853,0.3366521033029087,0.34147714487938924,0.39599507182453414,0.3598571768249844,0.37552351689765395,0.42891916246647543,0.4058429691314278,0.4595587192847547,0.47002178395396005,0.5967527534297828,0.5508936848310833,0.635708074418508,0.7332070187220666,0.837672413583643,0.9642164294052132,0.7231859101333737,0.6659528646010414,0.5700085298423837,0.48770429454313496,0.45184267146257157,0.4105911868642456,0.4747426797019679,0.3815068604382121,0.4723758815867293,0.4732711074897502,0.40735373317118606,0.4338426175354188,0.42177230861370707,0.5060000287865738,0.5060365785707921,0.5919252393688226,0.812387599615741,0.6988282689107193,0.8423104702377964,1.365559029328468,1.8132447457963787,2.881674308344276,3.311399069900654,2.1450342520322785,3.2174175565882006,3.909278556159454,2.4350963949748166,2.090648550120153,1.5314735002369166,1.0868012070955115,1.090510770250943,0.8677552828372196,0.9097939202560241,0.8953916196861782,1.0536928575238271,1.0899714647159915,0.7879968361726244,0.7209271729524,0.6609863891268817,0.729758688106686,0.7274586491387275,0.6184372046495182,0.775822696728278,0.5643274763857001,0.8452460400845557,0.8444125017895427,1.00596219096265,1.2393905562073328,1.0455935964330438,0.9175629359869791,0.7149071371233884,0.9502689981477539,0.6067814230633837,0.5674791318875504,0.5045248904609974,0.5553194825059342,0.4806753482016855,0.5255299014077305,1.0126000143200868,0.6392300312670596,0.9593369125198039,0.46121556461395413,0.4679061093230691,0.5231188670967428,0.4749586081519912,0.5091452460998422,0.5390426546826587,0.7907261387875345,0.6159405592381684,0.5144222766784315,0.4705120810313473,0.6024464358544076,0.5665239087194338,0.46725871447246103,0.42189758267829075,0.5967611650851352,0.41280759388375987,0.6054547273774128,0.42703386264969273,0.4916277672777143,0.4784726027667657,0.5275465629780306,0.6790252421267714,0.6121894191343136,0.5978356601636483,0.7765947298210389,0.5153884103859733,0.42415033719251355,0.37713065714199756,0.4084340126717361,0.37512052097195975,0.43335969610348085,0.48501348328154237,0.5808589411643261,0.7711564163237108,0.5589467052854474,0.572433868068795,0.5114553485099476,0.5464703361643389,0.4034882849002512,0.3766111455793462,0.49392531258453304,0.49011858670805625,0.4950223526368305,0.5304707064896151,0.5599361179671355,0.6223354052427686,0.6183524804079267,0.649146169159415,0.6066258553586333,0.6900458597769003,0.6721423457333404,0.8532135764310895,0.6577689122046186,0.5585150041732434,0.5357504255759457,0.7331701025413904,0.8113598961444782,0.6160641904629663,0.5203955646357582,0.5406148555916629,0.4648279890463106,0.42987123517285786,0.41223292583200477,0.36381212478445796,0.41229013964712863,0.4717441087110086,0.524008842090865,0.7624633742947889,1.4879905896344006,1.0613120358781214,0.5391445040699081,0.39812035698246556,0.42868015008158683,0.37382704209940865,0.4286304239126033,0.47228137666966175,0.4410471717221086,0.5003148605747327,0.5094410862657922,0.6544871990220184,0.7811435457355282,0.7645846941934001,1.0648252327893455,1.1200148825151526,0.9862190607258077,0.760647836143408,0.6090447403527119,0.5661011095351444,0.5071392902448328,0.4313526293017496,0.435994005242032,0.4711562218325284,0.5990453633779065,0.45745408715807667,0.4888663826245862,0.5837249589877251,0.45825634477423033,0.5980594610433904,0.7925126586678858,1.9645211085319385,1.9259251454893407,2.0892616880706525,2.059193320453836,2.3626738186480587,1.4605888288219762,1.5173712728571,1.1410593928739705,1.3799277704975192,1.2246535357277564,1.0703542930882588,0.9283508324617823,0.7826809351611527,0.715641214219872,0.6953448532461098,0.6623535201269699,0.5684411672098056,0.5194970489971403,0.5272902059339262,0.5433689532321321,0.5371999660482104,0.5505818837271972,0.580272138055281,0.5877962874852015,0.6713571431677179,0.6796366437322404,0.7556697133614763,0.8521350555471817,0.9053282966076652,0.9459000219886725,1.0303608883872553,0.8842977467512131,1.1968003397745561,0.8328028380890058,0.7358563165994365,0.8227329195617396,0.7781723802752478,1.22153679548547,0.9599499252720829,1.0272575345949342,0.9340507659710858,0.7117704036830043,0.7599282905548836,0.7229026589345384,0.8252917798411733,0.6313583729348797,0.7195200900789298,0.7178001678130196,0.79397708948365,0.6816723987142271,1.0524706989123076,1.1290224455353857,0.997026555206735,1.2459063434637836,0.7325068909469666,0.7272387846384715,0.6544160478503909,0.6861719250777286,0.8540947702515996,0.9608256956855401,0.9562522828375007,0.8353801070856042,0.7165977875613702,0.8301404811231986,0.8069035498083292,0.6439230983438659,0.7976196332376142,0.9074553314506437,0.7537785387313234,0.8149890958484564,1.01592126927345,1.1210639497492967,0.8838859817622765,0.9097741669512204,0.8248400395666784,0.7410789509964932,0.6455901829086373,0.645799641870571,0.6817328156417889,0.6387926255198407,0.6139051047602244,0.638446875197827,0.6771672396507264,0.6260425235392616,0.673809511673887,0.8374727499396244,0.7374380595896636,0.8913588905813382,0.8957969743489705,1.2478572400647523,1.0651774436516428,0.9368628098761411,1.2144477432126526,1.3179159066186994,1.1294330444930418,0.84382600534482,0.7245871799855529,0.6795122765659668,0.7701947178073987,0.8088725575085615,0.9714882639649269,0.9616316478928495,0.8202110112143516,0.643291295287389,0.6140316472748905,0.586134524099827,0.5248092008898695,0.5292939019678118,0.5554327129195037,1.202137224047913,0.5807563551357176,0.5278103938850016,0.5937452408246262,0.7790316329050757,0.521364511061732,0.7511913436714097,0.8247382694673538,2.098037703516578,2.74499882757157,2.8377543014682978],[0.6262182381824023,0.613183126368992,0.5430001812665509,0.43083361165291983,0.5375113466973848,0.4485053298623119,0.40795110896965076,0.4216858625675939,0.4563640597467617,0.46744880939465805,0.4578105428913212,0.49361348875956407,0.5030796811082067,0.5317939905303052,0.559637233620261,0.5731695608931049,0.6302765636754376,0.6754452673750017,0.874386879918576,0.830123986493774,0.9344331482946338,1.0629470909815548,1.0713615333095516,1.2483094369569925,1.0071492969172453,0.9744174854707939,0.8475433822798801,0.7540280637168733,0.6819336230070894,0.6008776400622068,0.6303974642536848,0.5571179111261021,0.5657495066631446,0.6020419468600261,0.5894507426615483,0.6711555311150328,0.6256118269682639,0.7665977805249987,0.7668156314698971,0.8808907548779359,1.149113061774817,1.0121997613214984,1.2124474515230184,1.7011537847211562,2.1533800887778547,3.065557901256133,3.558900713187082,2.4523266070152987,3.317412346129005,4.030778082613011,2.6742628311557204,2.331760333753564,1.826766913947081,1.2696972227979055,1.3101614427322739,1.2167913324887019,1.256442559223542,1.2273137287827536,1.3192665892221438,1.375046788180973,1.0736293947803974,0.9886972090659344,0.889290812561136,0.9536714423423981,1.0021201765315884,0.8850345943673663,0.9498604676911239,0.7750885371103751,0.9961441466878578,0.9551026320316119,1.1080857764750376,1.3288771561505253,1.1297949476380815,1.0880217731691593,0.8499307705996015,1.0872015177840664,0.8082115739100453,0.7375666884241299,0.7200993160471533,0.8199445444401823,0.6724930515915215,0.788109064130582,1.0818381182881782,0.9021191961010132,1.1956847656646943,0.6951940668998653,0.7326961765988835,0.7139830582304256,0.7291533249380056,0.6700378509628031,0.7185726859699856,0.9023387851616387,0.7491508956654735,0.6243867331529785,0.5894388390507664,0.6862126560888393,0.666163150189142,0.5621234034599462,0.5023855813344577,0.6207112486135936,0.5042897335181356,0.6276083048367451,0.5261330534549624,0.5412744824867436,0.5806740599158658,0.5892191000835938,0.7193146242475045,0.6845107768712788,0.6483442739387254,0.7850025028641213,0.5619859549166307,0.5294987066765561,0.4790430508941177,0.5517863217159548,0.5520966305055581,0.6641741477501681,0.7134827178175541,0.825846269646695,0.9768892450512537,0.7699733887460418,0.7959053162785019,0.6955870258818412,0.7734690575415493,0.6060189885826299,0.4987809536077108,0.6285899514324133,0.5513082786005722,0.5963493749414362,0.6280550215299326,0.6741890326750238,0.7568287153427486,0.7498829778116115,0.8272673942246324,0.7361536767392923,0.8579427044072795,0.8363231779091452,0.9725231434234066,0.8774627522333305,0.8232420119696517,0.7795618726440482,0.9791451772787004,1.084041355550991,0.8550853927505794,0.77682698821885,0.8003943725973826,0.7054974986896605,0.6609472651849302,0.5876212771683768,0.4976458822974057,0.4985629558078269,0.524568050901845,0.5536015957566527,0.7781606325483306,1.470268019474336,1.081263334495821,0.5590702075110803,0.4669002735973687,0.4848979763554046,0.49016455440350964,0.49683209803211126,0.61264910915953,0.6582730549077355,0.7315080365871609,0.7698612879949894,0.8774317935023729,1.0739078192672455,0.9563764884521394,1.2173540770128564,1.2696004499198152,1.107491980331525,0.9284090792732627,0.8242307397697995,0.7777073114575255,0.7105044047559983,0.6373485571490534,0.5800759421574283,0.6384623899105208,0.699689562466857,0.6775897042402943,0.6688771027779195,0.7469394373875196,0.6002209168148153,0.7826052683140174,0.9929992623281249,2.1758483531403487,2.0436330810636387,2.186438164424211,2.2438793417197314,2.5088357320299712,1.7160783714198349,1.65709464419966,1.1052050223924237,1.7047861028002151,1.4615431964091423,1.2739078116846054,1.1197800072885817,0.9314326162333613,0.8602019420610872,0.7947652300827537,0.7471234069298659,0.6222375642155071,0.554873233986058,0.5717908562593692,0.600977852271042,0.5764857527470897,0.5859826333351946,0.6046889517686914,0.6552114953706686,0.7349731250288019,0.7622893063816419,0.8447251954584011,0.9723647804256392,1.0331859943233566,1.084171124236505,1.1765248945482536,1.0334786812833843,1.2930834920719967,0.9624146235478104,0.822391523551086,0.9253965686960169,0.900011824755658,1.3304134058830763,1.0435628628903195,1.0096878505639024,0.9560314274449189,0.7427593896769578,0.8071355585312947,0.766885858645224,0.9118849542748929,0.708952783044088,0.7259542062222442,0.8408289625281973,0.9085566281919899,0.7823508128238643,1.18590010676667,1.2893874834932355,1.109803931879065,1.3889540081335108,0.825746697371215,0.787487771474211,0.7028712708254246,0.6838839463260878,0.8127820949266379,0.9328061583384484,0.9012214200333435,0.7863401021409528,0.7256702697314719,0.8180584756272707,0.7969950690908816,0.6558812678328433,0.826124811617175,0.9355236769939361,0.8013796595831736,0.883315555395688,1.100328862184408,1.2202548839756324,1.014022009719734,1.04923775849736,0.920212763155623,0.8133998851310928,0.6884770511089033,0.6976113644738604,0.7863716487222853,0.7036188822621186,0.6530901012280043,0.7326745966646233,0.7699981059843664,0.6984931900357868,0.7841413004920668,0.9531360847967044,0.8204878085049259,0.9901764269118475,1.0020590732343369,1.323056893011867,1.1445722211786267,1.007552783784643,1.3427710402128212,1.3913941340272868,1.2216341869568248,0.9236060581670831,0.7927571671648913,0.7574078974412664,0.8201552295600786,0.8385060536127615,1.0388839708518784,1.0089259334972538,0.8775646086681345,0.6872024788305451,0.686415036154343,0.6388476923461072,0.5548833522586535,0.5401277864589252,0.5732612683812833,1.1513964585803116,0.6085801725512154,0.6005686877486388,0.669665460537424,0.7956932667940497,0.5763828613085391,0.823952267016576,0.8221071648139426,1.8472427782447005,2.3888789474235597,2.515724609652743],[0.567083791336865,0.5951880672739737,0.6216089856322327,0.48624382525208404,0.6169547358602889,0.4944879757673786,0.3935984353838546,0.42377807760531394,0.42118934238278466,0.33232047589431535,0.32790348428284993,0.4173736146490616,0.3414078637371896,0.33824633723456365,0.3890271971590849,0.3601448267388329,0.4311162393839834,0.4136498573411868,0.5390644200040722,0.5178176690153432,0.5962109692442624,0.7115151794250547,0.8150402611887966,0.9567181041201896,0.7704286323582422,0.6673116334518092,0.5472504458541453,0.44911212210373463,0.4118384979906794,0.3701015753991153,0.4288583120490298,0.3736863385886218,0.44595561916310655,0.42668943053404473,0.3725693440239517,0.39745575977141473,0.399832676798476,0.45923753611465307,0.47673750244708313,0.6204050892690529,0.8073662300076457,0.6698577142418578,0.8605686367989628,1.3783391642314546,1.8947814271860228,2.9125885129667473,3.51277802491456,2.34896077415055,3.18671947492841,4.040458390827051,2.565440093844208,2.2194494514820917,1.6357784910097986,1.093414163861549,1.166570562108559,0.9403028986851854,0.9270591016058894,0.9345681919992133,1.0692479977552825,1.1118526606958126,0.7230731037711176,0.6519784309096391,0.5768941162993366,0.722124360238656,0.659917325815078,0.579640257257978,0.7609815863427807,0.5060408955432494,0.7486528037034295,0.8532612328156216,1.0265728409013624,1.2738767176744408,1.0442581118541,0.8527069514476098,0.7011063221807816,0.9026462877787892,0.5427747501985194,0.4915495239701415,0.45482597693020754,0.503472806644373,0.4738834376063059,0.5583945138977283,0.9133232887564672,0.7335370023051423,0.9773712411354901,0.48863243897678305,0.4602429348014313,0.5176745663348842,0.4226870656562708,0.45542794956934357,0.48316547429724677,0.790100925990532,0.5795936974876758,0.4660489948522333,0.4375000273567646,0.5722012927488387,0.5595659426128706,0.4318099277156095,0.40489589506837564,0.5983005210320872,0.4270652213646964,0.6268107433124567,0.4644107011808452,0.5374245136734104,0.5516709884197245,0.5935976390485529,0.7555817176222265,0.6931213337156393,0.6769954913877503,0.7858865793168839,0.5914624962785383,0.4676928847385809,0.39251382331651913,0.4082995281876048,0.36493360079185344,0.40877767303652435,0.4459589891654054,0.5156721693949136,0.7014259225837639,0.5108273561093553,0.5299474320928292,0.4684086396062673,0.5026445572696266,0.3598025646556725,0.3596741234717456,0.4781392871309983,0.5799482994838965,0.5400748127137398,0.6104437244857196,0.629543285904094,0.7150963835200558,0.7160191734283717,0.7392973546663459,0.6927066966699682,0.7533146865653031,0.7071999118361595,0.9074979847330837,0.6762752846469277,0.5379350919651458,0.5109993651718847,0.6457015518875554,0.7624594418841573,0.5353383626357461,0.4790621615530686,0.5621310270050455,0.4479051824870232,0.4295521526172783,0.40261468240648135,0.372914541266664,0.41923303002120516,0.5237879722633708,0.5079632281320042,0.7555697895921855,1.3700731699346123,1.0467420260117517,0.5278132021899242,0.40332804140112727,0.46976951142556483,0.3923171104896221,0.4634493835580555,0.4880024922220259,0.430758282860556,0.4994775953656054,0.5217606547404693,0.6739688997838147,0.8096298587565531,0.8232416695280095,1.1403901272952042,1.2070611520228294,1.0123630828595882,0.8027319031408007,0.6262939097967409,0.5901488482480277,0.542644366170172,0.4455136835743276,0.45348207206106794,0.5002838961341354,0.6096258298106513,0.4874347312710769,0.5351531694569255,0.6573355095923777,0.5152898500191643,0.68577393432288,0.8878804405211664,2.1508814609363083,1.890846389118666,2.069611825942499,2.0497142586488453,2.273152569146547,1.436094939301296,1.426312502002154,1.1257341618217716,1.5791955479834456,1.3709013721837282,1.2265874959306735,1.110402224444942,0.9113259420949869,0.8666737614841131,0.8365590514726471,0.7898234129541503,0.7252688687105348,0.6816981600308706,0.680390865801448,0.7220602848459354,0.7190793526285907,0.7252586808345957,0.7342657674004147,0.7826849721274444,0.8423420810090371,0.8633471474389574,0.9310093029595545,1.0420884166694326,1.0884494748821623,1.1481208732269628,1.217208518794429,1.0881531918373255,1.320952286589745,1.0186520491281355,0.9112274686144125,1.0047962268458615,0.9915747790826474,1.3731022063686866,1.1354102562152566,1.0964318254811596,1.0657853291363208,0.8604176987961031,0.8884060686144204,0.8450300645591106,1.0232378543914775,0.8112337788453521,0.839530611703288,0.9669971390144213,1.0245961341454943,0.8899064790770405,1.1430801552371428,1.3438851997500563,1.1447497993544196,1.3631246963850336,0.8862372902116009,0.8307735816799119,0.7837049751881769,0.7821093652175689,0.8875118137534671,0.9983699761798763,0.9450071780163031,0.8683821704829404,0.8204957035740981,0.8730054205012163,0.8723099746498979,0.7716386635052414,0.9155899228687788,1.0196046345104663,0.8919761245653036,0.9692343633478004,1.1523094748277223,1.285332936601697,1.069346000546061,1.0977603489859193,1.0006068094670983,0.9173375008543274,0.8160788026159701,0.8317798323743802,0.8949351495697947,0.8255892024063243,0.7986024514523464,0.8490572592397203,0.8705693830707614,0.8068234599399463,0.872522826727147,1.0075151664760902,0.8945739704384028,1.0478915217068312,1.0566068950658134,1.3715404832354143,1.189640024963038,1.0619761484825565,1.3698675990522584,1.3976399671878141,1.2342216414781744,0.9691155830389855,0.8730128455203457,0.8629308400337448,0.8854006619834381,0.9118086364444048,1.0924731376785586,1.0644859509599642,0.9572009866299871,0.774522426408695,0.7471208962310762,0.6948602292036258,0.6799993521282219,0.6500512018149596,0.6911698693668965,1.0906080490949408,0.7070909299055936,0.7176240674464862,0.743769918510538,0.8509102984512933,0.6560291868899634,0.8606121894204444,0.7932356795760961,1.6643500301361074,2.1023184794404575,2.261407677114543],[0.43487570016542,0.4550785314897639,0.5081154921650028,0.37311067060699654,0.5222683167167521,0.41371656457718725,0.3380847979510616,0.362511763109786,0.3895590915199564,0.33869560263984316,0.3351081980327056,0.4119472949091371,0.37232941497079525,0.3471942732761209,0.3976766938737604,0.38112453547523834,0.45348897891089923,0.42296301586475554,0.5254331933844985,0.5169133059510475,0.5749952577281839,0.6989176065386887,0.8171087749841427,0.915980997209052,0.7930980052641166,0.6534102775815857,0.5517549267567493,0.4655562754862598,0.43790850938133324,0.3792950886938613,0.43510323840993154,0.3880889168933976,0.42869231646300404,0.4209007992075359,0.3867455972023486,0.4079913861457532,0.41252345678066155,0.47486148194607336,0.49438512022293674,0.6459839291563851,0.7983959767177873,0.6634934557378771,0.8531062434438349,1.3550642450974826,1.8742976905027262,2.890276921063979,3.5186789668001834,2.3676962239116115,3.1675781542486416,4.0671817741083425,2.572762492348435,2.2318899214740258,1.6367749082261702,1.078635747106791,1.1862019715433538,0.9408571285255131,0.9154724454869017,0.9653945884729308,1.1008007037955136,1.096190144725668,0.7056427056949381,0.6345357354611243,0.5479512763484945,0.6906764659591693,0.6259014018586134,0.5711275669040874,0.7495375150236595,0.49152638053122766,0.689944470795458,0.8548474421616669,1.0348051475065347,1.2754229548135163,1.0296697303201394,0.7867978791723262,0.6916203540774621,0.8627409252833267,0.5174248860479478,0.46994698976284816,0.4653181220909819,0.5101015601157611,0.49743897460387976,0.5893025235325738,0.9034301800105956,0.7825031461852828,0.99495888533655,0.5103963008169313,0.4877589723708175,0.5391409303990605,0.4301003160065862,0.4638083712017903,0.4609460251005623,0.7916365959107857,0.583380493075063,0.46532181847580745,0.4409923035868319,0.56865226476241,0.5916925014097596,0.43675328189326224,0.40735544480636493,0.5337862645986823,0.41299723448420533,0.5941573514319385,0.429360933472014,0.5000636783595561,0.559528989287823,0.566499859211542,0.6814989020884382,0.6637612192397117,0.6207021286255064,0.7184994448367885,0.5198680988015328,0.4503187462470764,0.3701845433009099,0.4126388712774643,0.39195614617850477,0.43610351965328426,0.4696571720998036,0.5096411643986064,0.6671578609811596,0.5164840070667684,0.5266853270390353,0.4989134835541434,0.5120419464148326,0.3865221275228274,0.3615460948705382,0.4611802349030629,0.5008206970754175,0.5192029016836681,0.5703021049318733,0.6189959868358523,0.6939263510687805,0.6952512429671069,0.7384674863615087,0.6812404327789682,0.7539850191385512,0.7163894069400818,0.8888828537869703,0.6914340784988532,0.5491672686378328,0.5307466811146752,0.6188161551068623,0.7225287723792868,0.5366579051443712,0.49915154739256257,0.5929336467793064,0.46698025173759683,0.4535714982248371,0.41837051227272903,0.37715954549885927,0.40692568489714454,0.46650390928097485,0.44646657055080496,0.6787432157620327,1.2571057565923953,0.963807820398703,0.44873171573145665,0.36952767230238553,0.4155043773713895,0.38733165782542345,0.45701087723177913,0.505375483578517,0.44907757671782633,0.5224955561191329,0.5481325932251162,0.691033104860965,0.8165937847988446,0.8330924223751861,1.143630568798683,1.2079612649181195,1.0170406967887307,0.8087233482208402,0.6412514626330881,0.6105271972491786,0.5598373797445569,0.468951492860017,0.4589284126717193,0.4994978487301721,0.5903852348549837,0.5066785293753889,0.54448089053592,0.674730069423788,0.5246107147490637,0.7117876982270382,0.9270930754253851,2.184000932752361,1.903419612647255,2.077193720659249,2.055311460833266,2.258788625379536,1.429432989176618,1.4205138884309316,1.0993333426296827,1.609453197620927,1.3900313245344045,1.2358705636953788,1.1027526264065382,0.8822977445999591,0.8282758913439119,0.770628650505882,0.7236761842652604,0.6088473521974106,0.5409926079395915,0.5627240491246908,0.5727945920285193,0.5402297960430917,0.551862096046976,0.5535927067341954,0.5866301961070366,0.6369653766126531,0.6939579910130268,0.7698476026905217,0.8569547671291462,0.9189769193554869,1.0159035218497987,1.079865886887762,0.9629071860245488,1.151254149441523,0.8372078704525162,0.7250758572483611,0.7999752879293411,0.7805150067175933,1.1915985833177307,0.9654084299660983,0.9366090473397455,0.930813228953502,0.7250256035701023,0.7873477353561428,0.7697457111792809,0.926266973997337,0.7206282362299031,0.7142179171902024,0.8339437999487759,0.8795664007458388,0.7760702060048394,1.1468281891133683,1.2629090538598517,1.0597746055113346,1.3277318239618137,0.7939871811002448,0.7941662107140256,0.7083114062920813,0.6604658281368434,0.7828555165580786,0.8599717044157333,0.8519049355731222,0.7420380390710003,0.6674311638720088,0.7166783999485848,0.725654443284505,0.5917330328360956,0.7121457094863393,0.8197604530544127,0.7048876499313292,0.7660661428258182,0.9197411589967387,1.0824247797839743,0.8580674233415748,0.8630973402305361,0.7828754664684466,0.6941672485400608,0.6063738478279919,0.6241329823266283,0.6816368626495923,0.6224849086520681,0.603280307304095,0.6587212941748312,0.6904624478666606,0.6402962423362349,0.7333654912979869,0.8772642318582056,0.7420943861925091,0.938030618992284,0.9502702131246518,1.2490089323003095,1.07451936483954,0.9238795611853863,1.29446170568914,1.3405599252954359,1.0586737613140915,0.8100980067939053,0.7026788788159397,0.7192191949697544,0.7514931588912693,0.7298119309474937,0.9134317205422703,0.9426829494192088,0.8181725396949984,0.6521775649471865,0.6619835480972772,0.6074812436275865,0.5511882850380834,0.5459911301313789,0.5428436946995912,1.0128670665540245,0.6173246665478064,0.544416499459471,0.5968696194431453,0.7850566197774048,0.5239390607914206,0.8059181314511025,0.7267505039012342,1.7506774748776175,2.0867514774470464,2.490618464111409],[0.45667226324918153,0.48466454608482434,0.4871303258669224,0.39730348149971234,0.5175510805824148,0.4849106794405938,0.46362004219652725,0.48669265545082113,0.5434289780890388,0.536827850952888,0.5264940821586026,0.5813163115062477,0.5644203403541976,0.5498778612612443,0.5723111539588306,0.5860936036719933,0.6009275526860951,0.5914087066962019,0.6703193339294404,0.6765610856813379,0.7165697104089244,0.8513376239349411,0.8727518351487276,0.9820931552186897,0.8068228412744747,0.7455640786834498,0.6792650053358233,0.617913212898401,0.5997963080008534,0.5712746957730133,0.608370352568817,0.5759376268083145,0.5993069100371924,0.5858727721662395,0.5727578728527971,0.6042797801676317,0.5936092719136086,0.6422467931993945,0.6457475313389602,0.7645649085365764,0.9745172835882853,0.8268553480969407,1.015917452473641,1.500446069650799,1.9596963192949508,2.9526572875396235,3.472896959430667,2.3368684687420025,3.2446055609022517,3.9981450754842522,2.5719695797398807,2.2555407129243394,1.708387604414383,1.1825964254315349,1.2526226554226774,1.071563194760184,1.0783341554695758,1.0758099956852656,1.1849287108433342,1.2349735678985687,0.8724989685901325,0.812066649465033,0.7188312571378792,0.7987786045404562,0.7914757430929397,0.7284833228413551,0.7880435217324979,0.6432212208299529,0.8326540003419561,0.90107815831655,1.0490840415093647,1.281307028115392,1.0658649780361453,0.9010201833503718,0.7790550631904987,0.9904487794630045,0.6940935208917791,0.6429330450303865,0.6440223952709635,0.709884100864096,0.6036969350637699,0.7159962682004767,1.0116254930090962,0.8440338941108128,1.1188122078253768,0.6349720196591039,0.6273362365514742,0.6681742432480011,0.6325646586906408,0.6270208673698066,0.6463843842440564,0.8583167581771999,0.718168911435181,0.6299126396866723,0.6010377149381426,0.7040689662613399,0.7135845018265339,0.5909460420311268,0.5531984623414457,0.6400181278501083,0.5776487340839818,0.7097296078399308,0.5793960187087777,0.5915250869798635,0.630112060279916,0.6199585992863315,0.7067575727775918,0.7063885157357841,0.6670033833605112,0.7780100154271907,0.5780634072536691,0.5704851796764037,0.5316771369840508,0.5556017102454899,0.5525735379731044,0.5728870753182077,0.6078974122873472,0.6303918064987001,0.7615610740107637,0.6452018615869033,0.6611192025830747,0.6431015473080348,0.6515919469249308,0.5650811488697609,0.5504033874295822,0.600169984101186,0.5500914300064428,0.6034916453331796,0.6188773501458258,0.6796533414829017,0.719254894138001,0.7241102301959996,0.7812857064343016,0.7174492039968561,0.7969330739723359,0.7889434084435198,0.9221101194764979,0.7815998677152838,0.682948703093466,0.6429595698398645,0.7580594176372764,0.8544503961384806,0.6430540862330072,0.6121912238157562,0.6588932299864286,0.6107882692386103,0.5895232175377512,0.5784662377893298,0.5347529018005106,0.5581345883753248,0.5694621853779887,0.6098724913844273,0.7820902763159054,1.3775154117933168,1.063776198823804,0.5866052610591397,0.5457592975040185,0.5573011739512576,0.5644037032787304,0.5457689695851471,0.6081076680780733,0.6104258351568026,0.6387398947311792,0.6732542464324383,0.7751382065357478,0.8963162442837029,0.8541791435240063,1.126757222275394,1.1968346128824083,1.0305173593035506,0.8411035278853566,0.7199889734650589,0.7013455520964652,0.6640304778692473,0.605350108319425,0.604728532165896,0.6548627328532601,0.7187915405378295,0.6403898795162899,0.6498427249811747,0.7259854955953122,0.5975627984747984,0.7577677955801387,0.9633573617575771,2.1257920355058872,2.0016591676108098,2.1421979096442905,2.145939027484723,2.381002648595236,1.5776403039470392,1.5641462671413051,1.106435744890501,1.5706251597252017,1.3614634872233524,1.200913623165172,1.0656592535376783,0.8899017254590443,0.82392040883723,0.7439450833772508,0.7133581917260672,0.5728477463973335,0.5150110026873692,0.529465104300715,0.5347654967814612,0.5032554069005409,0.5174024922903814,0.5145472885989764,0.5402306297249864,0.5890783563052235,0.6401683925824802,0.7170337792931151,0.7938004000099097,0.8496737455641363,0.9340321415937923,1.015979834300769,0.914343051417904,1.1272016929986368,0.799921552656954,0.6742990523792534,0.7520583297489116,0.7210254219316632,1.1679683523068352,0.9171677885553229,0.8984114778383584,0.8727278622853389,0.6887580262942115,0.7832089000703619,0.7510525824767568,0.8416305575017727,0.677284553120449,0.6885019407653327,0.7643013595892543,0.8136249105139212,0.7100085228549605,1.1551265760795044,1.1755023865692293,1.0045841662312587,1.2839676013187156,0.7432400584586674,0.8033724123457042,0.7124587714419011,0.6781412481626152,0.8257710729874279,0.8860827184853746,0.9114100539914243,0.7757902445934927,0.6670838269481123,0.7390035367656876,0.7439033864637794,0.5780695836247204,0.6926598804295141,0.8079936785801586,0.6738578790695893,0.7141049904120935,0.8703145551523616,1.026908091629933,0.7976489362726806,0.8070521166217172,0.7267699281238179,0.6336534188598666,0.5552108609532417,0.565243534464673,0.6197184865949571,0.5700474463148757,0.5420769133538275,0.5982296281113252,0.6345508751649267,0.5882905573955421,0.6768154139091626,0.8373098209449441,0.6981794213379798,0.8790675324839233,0.9030498431796642,1.209901671428454,1.0418585382419496,0.9044794500750346,1.2612420363255732,1.3266915764318425,1.038538006041076,0.7861561065346062,0.6769821340650046,0.6582054002956483,0.735155489672872,0.7037579411067665,0.8692160764915791,0.9110414156956577,0.7689098378585547,0.6187071340093573,0.6372242214585186,0.6098987445941363,0.4839627558033274,0.5382467915084944,0.5435120079496064,1.1286448358594534,0.6294862762220681,0.5182264911002136,0.6437014483477832,0.8502372782721648,0.557985374445627,0.7978800156579979,0.834124854811713,2.0444552830241305,2.4953275030603193,2.8641357551606705],[0.44038501394737056,0.481272065055456,0.502268387282789,0.3597160897379297,0.45458166474075445,0.3343935861460034,0.27861931314521043,0.30068745157831445,0.3368163960379555,0.28204012779107335,0.28432693908331025,0.3668844940875837,0.3223348107734548,0.29789387791628713,0.354711778125271,0.33696053070879284,0.40979274449554587,0.3753658411404028,0.48464358997448487,0.46362059698339325,0.5224352866765127,0.6787392518849034,0.7221096325282703,0.8564414294046201,0.705331987152918,0.5912013805701924,0.48327554162119,0.40960454239392297,0.3923015371241057,0.3435367504725435,0.3849660468717036,0.34441281313012684,0.38499529767899066,0.37484730664703975,0.3480483773494096,0.37374267588342236,0.3836366974003513,0.4389906982662279,0.45871254836073866,0.604751531262726,0.7972222621035474,0.6333869255004649,0.8051375036297929,1.3105228659427481,1.7899992741056212,2.843717282081344,3.325963922275756,2.182281496328209,3.1806454970453424,3.9940555760032943,2.4639737068743437,2.147617120159331,1.5485568840825228,1.0673605957233505,1.146147671050241,0.8758832502014791,0.8613549534645027,0.9113845500233015,1.060942716829867,1.0704604886305906,0.6852200518164123,0.6169070866798767,0.516453399292304,0.6207604742418701,0.5925681390379671,0.5234301915252638,0.6778740807898187,0.4330278974247771,0.6540238974277459,0.8063870356320347,1.0025771620958601,1.2308287867893313,0.9868674922971251,0.746636892290802,0.622563617280524,0.805038096432138,0.47615501920398207,0.4314593911791219,0.43129305811473706,0.4825926075118942,0.4534961831646811,0.5399532941367751,0.9141552250401174,0.7183214007098321,0.9824910496860364,0.46099792908148873,0.44136330504501153,0.5067354595961134,0.40072947303042383,0.4471131372272823,0.42940516342092616,0.7223518248595654,0.5279586923788557,0.4267136705512331,0.4004815956017789,0.5401178737042466,0.5573105401457433,0.40404781547266766,0.3663825498030383,0.48772745536941087,0.36861178909649644,0.5539318704214322,0.3989565288132176,0.4522872002468415,0.49259394683064356,0.5111489760519176,0.6280023520373876,0.611218454608925,0.5801700636674756,0.7187031119744212,0.470916532319393,0.4129629061636232,0.33569338704362844,0.37912623308684984,0.34242005315855023,0.37616029993677896,0.4148383187883647,0.44899064809139777,0.5928251008836611,0.45217168659495816,0.46050445424599307,0.43834600640624827,0.46129304558131073,0.32980211928144765,0.3084444131186193,0.4502833830188873,0.4017887722863957,0.4738973270289375,0.5049422552184155,0.5669208351907238,0.6115305192401284,0.6127917950463373,0.6508907590830255,0.6068466505155109,0.6832469204910181,0.6590529024180849,0.8438515742145529,0.6353074249427423,0.5075815746549134,0.4721137559321942,0.5962512430200814,0.6476976540697708,0.4789729059542868,0.43665593570696964,0.5198840914177552,0.42140328502762253,0.39850942720684485,0.3750750208084461,0.32937766841709454,0.36391216351383787,0.39874252729866905,0.3978061514163918,0.6110897273806852,1.1961516932601504,0.9310957753883606,0.4034280168255533,0.3198817890378374,0.3738886290866119,0.34033773702157794,0.3918720215515417,0.45842500322564667,0.40923069151738817,0.46024112755863045,0.481840925988841,0.6257228401624272,0.7574870998346391,0.7393111923746304,1.0175167431376668,1.0841382519943181,0.9442987262542839,0.7330915131508836,0.5728544248758913,0.5388437802094539,0.4957450973238111,0.417006304838734,0.4210719286630146,0.4748867811862437,0.5730263800689404,0.4625646274028789,0.49327665012955485,0.621269280350721,0.45652862138682704,0.6235613780978714,0.8292427799508297,2.0313072896969255,1.9009552169241024,2.0598458747849686,2.037582004798659,2.295182758019294,1.430797619886401,1.5065796909798737,1.1143665949478194,1.4129299072208945,1.2564598643714442,1.1055217130712458,0.9649604090217075,0.797612512511991,0.7246569553844526,0.6682789120673627,0.6516309473616105,0.5227411497167129,0.4705084102120648,0.47711887968128697,0.4852443481375965,0.458840886358667,0.4772753894257507,0.48591951270308154,0.5001430101199265,0.5334772061258028,0.6033899046404821,0.6827668976734526,0.7268089965498181,0.7840699057056525,0.8737264997143503,0.9361637988272804,0.8731892211969768,1.0325104610586013,0.7474461022398342,0.6209997907863165,0.6758945641846593,0.6521642366042428,1.1131943773884836,0.8790707876516267,0.8495974160735359,0.8305011539942746,0.6457629973375533,0.7412791041639077,0.7203491516856211,0.7922777223789055,0.6319051005790509,0.6541299155977792,0.697403589283212,0.7387723817022769,0.6384632739011634,1.100464495460363,1.0784026053146205,0.9234325377013006,1.2038408807407739,0.6746146144489397,0.7345024166405565,0.6589644231097482,0.6517301800743621,0.8159788113519157,0.8707304722970394,0.911413463571545,0.7555369434673209,0.6439308477197835,0.7199780369284473,0.7090992134554238,0.5262704068233175,0.621936870533892,0.731018043905738,0.6030070023561906,0.634183497980818,0.7614748957519557,0.928049947678941,0.7067784582747492,0.699999113490886,0.6434133898127239,0.5600197429037764,0.5102862276989331,0.514170983904374,0.5512957374154969,0.5162747128426349,0.4982223073125157,0.541963832231591,0.5826644148711931,0.5389629859223029,0.621908274433881,0.7776344104992862,0.6558078887681693,0.7999252104311121,0.8097661613309189,1.1098226161272517,0.9559210688679797,0.8521817025821113,1.2195199877883665,1.3615047263661044,0.9815967549183513,0.7699609879474033,0.6638149541519723,0.6528268703507625,0.767219172645374,0.6687194791750195,0.8020288038499299,0.8495250929384982,0.7115365119271891,0.5731109111006519,0.5673474322456866,0.5399254917084736,0.4295253795270157,0.4760280788951041,0.4888782472587073,1.0721761635178637,0.5830732251902584,0.47368157876580286,0.5743407625967994,0.7882035733212118,0.49804790031635193,0.8011975894365395,0.8928268146651802,2.165387512469861,2.618335198020513,3.219939650629506],[0.43470501365302017,0.4018407705191541,0.38992616495619303,0.3317416970855896,0.4025532596599761,0.31726090663113876,0.25319295034582856,0.2974409114593317,0.35799328614639286,0.2501483805660212,0.287687794113806,0.3668572609065757,0.27192563268285913,0.2722741301025398,0.33650625922460226,0.29812446316457897,0.35611720303467986,0.3111457887980677,0.4294709702636233,0.39415637212917015,0.4452001330791363,0.5696489202324212,0.6505550863946133,0.7947717462157959,0.6367649960475349,0.522599592315057,0.42157014332955484,0.3384548606690495,0.31910833083766593,0.2962702097997343,0.3576905351843608,0.31858753787831,0.3762184482091775,0.36458741252806864,0.3129309738199213,0.29047674047980326,0.32980116245815577,0.36067421935297483,0.36444510767196736,0.49872360760904483,0.7279516015704103,0.5480844032629948,0.6532014193114852,1.1756207559904506,1.642119464298867,2.777183321598672,3.1346013701688165,1.9653818576077036,3.175863564238246,3.939417978220635,2.314424169944861,1.9971148072621132,1.3919136278638817,1.0507835958719918,1.0698844763818545,0.7297042060109881,0.7153299805478269,0.7592553196195623,0.9719314115995573,0.9229640823787248,0.5915875694044674,0.5608932945965197,0.48761364287713416,0.5769229908669639,0.5246656754112974,0.4544782307469667,0.6350354995667218,0.38495440296149014,0.7046558365260206,0.7598442623962399,0.94985199349626,1.169478486673119,0.9619425581108272,0.7175852823598102,0.587429767579761,0.7877485436250953,0.42447757416510234,0.41077283337775744,0.3523520483373333,0.39129400963179506,0.3736467372359333,0.4450441851744552,0.9454474968663195,0.5324159499149802,0.8291846798445821,0.3753252596762657,0.3591775430834965,0.4309477569845043,0.31431145216499434,0.4203599474096923,0.3804363713186575,0.7041271394325057,0.5101438718116726,0.4074999246890285,0.38297983651359424,0.5259545752254653,0.5309308229020436,0.4211039144432523,0.3794543747234766,0.5489196144898221,0.3700780471856886,0.5770656319757473,0.35776625398220857,0.469541176365768,0.46427197196928705,0.5020370373045919,0.6156242195909981,0.5134752217224118,0.5041420857656458,0.6982304969091041,0.41589054649677876,0.31108526739226805,0.2588659899437085,0.2866525222698527,0.26390607762883384,0.2960123724181577,0.36250292971743514,0.40441062910795916,0.5529883223164196,0.39481538747981565,0.3854606599815707,0.3463496184028749,0.3729616117854101,0.24181186796048143,0.2547513592186871,0.38554782217687555,0.36686184700017244,0.38713973243788447,0.4172377455278097,0.44943801018599505,0.5045525857674252,0.5102647771742652,0.5223779660048105,0.51092235633138,0.5783854495557564,0.5504129812596145,0.7891211840439126,0.5174604836246862,0.44242012812001563,0.41047837722694713,0.6021386169627047,0.6084259571784437,0.44354882312961447,0.3583013917911828,0.4341064695365161,0.35219789939854446,0.3136147688628971,0.31382242840174457,0.25788924161879073,0.3448696653252872,0.4025869403298337,0.4581671388379823,0.6768564031213048,1.349981982653208,1.0043841018937827,0.4806370804171984,0.3440837604164627,0.3785963486134589,0.3002422581623096,0.35382539784539985,0.3572896691616277,0.3377135102059448,0.36793026409450236,0.3748222605806424,0.49754284897886597,0.6851836120763645,0.6291771787956605,0.8882559989280379,0.9650710244024969,0.8563574857097781,0.6300934786725485,0.46260971543217727,0.4255074332402065,0.39963284133001337,0.3194302327308781,0.3512794879119583,0.3803842291566512,0.5539921211641723,0.3630013484835555,0.4107618158416286,0.5237405168237045,0.3772086716252411,0.47810521810659484,0.6252830806440058,1.8074644398320148,1.7249597877616198,1.9018192929370605,1.8669902592671868,2.2552503750659474,1.3303232321095724,1.615640280337282,1.3454210312722905,1.1128429764555767,1.0585496930990654,0.9210010223195167,0.806786438513746,0.7026679483960506,0.6006110800196522,0.5767185281949165,0.5525274113727642,0.4263465206056235,0.392839087364606,0.4009225439395561,0.423433083615584,0.406473922150618,0.4353034296322889,0.46945357060004433,0.470028264848844,0.5345545377964052,0.5697610884575328,0.6428013158797601,0.6957408809138713,0.7583444163624765,0.8200373342683751,0.8784141972712275,0.8115772889796009,1.032652624707707,0.729682899340763,0.6057075395772116,0.6799364754897931,0.6385399666706196,1.1299550669387919,0.8462887030875761,0.9068477203347715,0.8408518058172545,0.6154306966035035,0.6822762981495051,0.6538918224932886,0.6960533829529949,0.518677418290425,0.6674642023712709,0.6655984475941855,0.7399920949622626,0.589802279482702,0.956043483458911,0.9565530179501911,0.8667279873314436,1.0950752136593678,0.5903542084994353,0.6407294435320011,0.5981167224259507,0.6201035317240486,0.7940586785995337,0.8904489571025334,0.8910468312767557,0.7456506887253164,0.6148290093530485,0.7355017696321826,0.7018771042354152,0.5214374314977278,0.6509156655654972,0.7655174494887096,0.6104196029814407,0.6550400886909322,0.8284038323031844,0.9557366395451858,0.7207903616282145,0.7259025243911881,0.6549968862831149,0.5769267033542322,0.5141865068002033,0.5154070086706829,0.533107201685029,0.5008959901740526,0.491576613800508,0.5038001792580744,0.5529968350777572,0.5002989864099706,0.5466217999070253,0.7466323434943871,0.6393476889194871,0.7375967769199834,0.7555277993350307,1.0910970769466513,0.9384315712531094,0.8438109432377501,1.1151380689950272,1.2963534021576368,1.007907483958283,0.7810147329696929,0.6593605377699486,0.5869897280198138,0.761170968301465,0.7196878559827005,0.8562388517994453,0.8836731885810554,0.6975599336798081,0.5508275701727833,0.4923026184622317,0.4657962068220352,0.3593719759059228,0.4203683752472177,0.46066885224953735,1.1837871597180043,0.5080951013182984,0.42627974155835,0.5629005474197674,0.7478851380706443,0.4665670740644358,0.7297373888242165,0.8849533171199067,2.2505043995777023,2.8346784463325636,3.255453192526091],[0.42704562582447236,0.40191131747641945,0.4468819945952075,0.32831378066946226,0.36324215620737005,0.2801819001593026,0.23072680767364975,0.2904913542775935,0.3302447757061339,0.22763387527349765,0.24459079992096208,0.3410132228887996,0.24658743432733105,0.2355018834053456,0.2904993897624324,0.2647462872932263,0.34030562700779626,0.2895236958771209,0.3978926250309083,0.362636655528748,0.40543346102789857,0.5210286958141791,0.59956215517527,0.7349150832171093,0.5904922209799036,0.47183859194043826,0.37546864987642325,0.2933895640550656,0.2936239270565495,0.2799690979437219,0.322090671167027,0.28560672598274556,0.3553204198214183,0.32550000593451306,0.28917038386200977,0.2768920824914463,0.3035933826731537,0.31752846986397093,0.30891786433098417,0.43193156012710016,0.6736716837360327,0.4964301765028112,0.5615715061212694,1.083911157438257,1.5159434418028406,2.6755449343365636,2.923970992090755,1.7798049527313757,3.119468389140814,3.8341321087425535,2.1903402813674333,1.8823688585033078,1.3034477429205302,1.0344862864538824,1.0386362496239732,0.6342310226562978,0.6161509391297398,0.6840368003645793,0.9385205409967413,0.8467987772355279,0.5593093389443219,0.5401959459232099,0.4630702688913638,0.5343168567379359,0.4861665951587362,0.406508189092362,0.6010661902747424,0.35025215835114787,0.6729144254380879,0.7046994858347163,0.9313973412358448,1.1216769860251643,0.9379004295293493,0.6552907848326751,0.5395179107366465,0.7381109814660608,0.3786231163921678,0.3605353434780843,0.3195981083718954,0.3804930142506274,0.35247493181021494,0.39150871910079105,0.9648599461681314,0.47096380754641093,0.7543115380138767,0.33548235958401096,0.3116625981827289,0.40756887495196537,0.29861863167926833,0.38581192482141025,0.34583974456577676,0.6499206166004604,0.4506480724398972,0.35082080374767977,0.3319309402383774,0.4625097953441564,0.48562461209992924,0.37960619224734043,0.3522407138414772,0.5201642790406096,0.3551206611775835,0.5556188012916057,0.34607453477269445,0.43100527703198377,0.44240981705127436,0.4546606177256266,0.5539494688426625,0.4268233390234009,0.4173568892292595,0.6788966452836362,0.34170951393712945,0.26202065060261426,0.22457354739395638,0.22617201293421751,0.22885419259582843,0.2528113759189918,0.34745052793006403,0.37228441861949896,0.50419021226574,0.3937662312070908,0.3423925442130862,0.3111704052450777,0.33280101459802663,0.20622335849161505,0.20788917314285402,0.287648365950615,0.26201907823498843,0.28350293620462014,0.29071975290988655,0.34653624117127846,0.3437395836988861,0.36434232862074584,0.36527154578903676,0.4319161153588367,0.43600460545543734,0.4256829397986981,0.6531407536658559,0.4108456173418349,0.3837806875589209,0.34303648131957293,0.589363335220237,0.5650609559712082,0.42766320987265133,0.31334062481775316,0.3717842485171069,0.3021558893721991,0.25799696247963716,0.27440560206190984,0.2231170799061749,0.3303512552136156,0.4100764295728362,0.4540962260058244,0.6371168840832941,1.2991882659288938,0.9935029409642059,0.45820499878338905,0.33443416261085834,0.3770534754743657,0.27002259922065064,0.3227001002818784,0.30243195949161533,0.2921876091135013,0.30888859915567823,0.30866187819537333,0.40018935228326746,0.5581693456942133,0.4834833708066993,0.7414000111404447,0.8020275320725665,0.7445861372614592,0.5045993355535371,0.36885035532570365,0.3508742810928465,0.3290031853310066,0.26773499889365776,0.3339890942192763,0.3660416401683857,0.5461632401960596,0.34206031380884994,0.36730991696049237,0.48676718826683973,0.3207481198927494,0.3986233288011571,0.5503635527514535,1.6575219821481624,1.696332812618042,1.8699608009298634,1.8011942120432511,2.220119470385925,1.2588319368360688,1.6379001945948708,1.4309455286876505,0.911317856377145,0.8968522157852032,0.7444403946485292,0.6132631380614705,0.522854658227051,0.4224000363307907,0.4198303491908935,0.43421513463998007,0.30922663504644565,0.32939670182368436,0.30889606389272106,0.3359527982767376,0.3537540724703832,0.4047780571727941,0.44863115310345053,0.43774118175731663,0.4992705526316876,0.5578781114069506,0.6308541175850463,0.649282877955195,0.6970892770142207,0.8099192345922549,0.827666917490993,0.7968400463553368,0.9742854092719272,0.7049188167263437,0.5635603435881835,0.6262257761801241,0.5749577683702582,1.115031830733756,0.8141882080867782,0.8867048287934941,0.8567573188459667,0.6094428550002355,0.6283438449212185,0.6229120244576285,0.5804313178368045,0.43533427410185194,0.605617980814214,0.5963460061563067,0.6539614759980801,0.4544381869665407,0.8796079285024034,0.7536748109848571,0.7157814796678171,0.9601493566794898,0.45269926494098806,0.5523850101162172,0.566882938218585,0.600218787852848,0.8055273699600428,0.897734349739185,0.9178877093942472,0.7372536582384375,0.6029927886289415,0.7202802270731044,0.6653046674474324,0.48665357450421803,0.6035489807732379,0.7017069822613126,0.5532046316815086,0.5813361024624504,0.7415996950621981,0.8519217975693272,0.66179057337422,0.6574648745257141,0.5996165730477593,0.511930976655218,0.4686074928321517,0.47709599057517854,0.47547690363045575,0.4588832891467794,0.4456735289942454,0.45844033946279894,0.5197162014387982,0.43805546710179244,0.47566091465403953,0.6952918421192678,0.5975256690938836,0.6169487618688242,0.6338482366135515,0.9443605095962195,0.8178970342608325,0.7507436218666786,1.0292298151667996,1.2774863528049218,0.9122900672995822,0.7345924208817433,0.6619670334988859,0.5971450420236621,0.7786699039907238,0.6271828704765786,0.6853715738997815,0.7698700398199225,0.5481820671816436,0.42150245119366647,0.34090469192051503,0.3418017664736949,0.2860112356591452,0.34469784856327196,0.4191562920418657,1.2448119343031436,0.4569238343215663,0.42756411372920206,0.5956368010814813,0.7356840196807565,0.5115393238232625,0.7472880745007023,1.1284360974609213,2.6079056829717127,3.314093561423181,4.100955248827413],[0.4453952225181781,0.3291884944923206,0.35838445035541305,0.3348075593996812,0.35141266447038566,0.2796099519094694,0.1832806696200216,0.28704760537079804,0.3142351829192692,0.24432641259880344,0.27944121043138337,0.3654916941976753,0.2917044284230931,0.2907792006980397,0.3597359721312238,0.314888740228761,0.3817338983423798,0.3360118867061828,0.42125001665666584,0.3886262539139197,0.4133777714764026,0.5224653414705707,0.5849042827050791,0.6911060938560376,0.600209913498461,0.46942981727003213,0.3789925527241235,0.3257984587305509,0.34033455022380465,0.33216306126434486,0.37140853777032384,0.35011558960374783,0.3752872412547835,0.3643812533878476,0.34591875645313497,0.3157361415237715,0.35431917351022224,0.3453725428106051,0.3187257864430127,0.42132898403775615,0.6613412224761718,0.48851574105060896,0.5178164544778778,1.0101845241512886,1.4361165876690092,2.606561587557113,2.8068874509910327,1.6766053539572352,3.081330896884145,3.8485345521398275,2.113292084042407,1.8375240456921873,1.243613031361433,0.9997991354342183,1.069323035356979,0.6044201910172087,0.5643675391385488,0.610942727068338,0.9204585845351231,0.7720353833590305,0.5533252384425148,0.5626373209108295,0.5108509808736618,0.5627938408117847,0.47761825901022925,0.44760711265644393,0.6021805213622561,0.39613276100560135,0.6948481822844156,0.6891095467887617,0.9378470268422405,1.1242986222305136,0.9639025040425049,0.655424381227942,0.5769188095840412,0.7403400204905431,0.418146530355766,0.4117483852685465,0.3765535863429138,0.39234490366984687,0.374566656351221,0.40874708405524707,0.9799542774539076,0.45304736709296767,0.6679237005555665,0.36221358323808434,0.34382644691416514,0.45170174607942193,0.3423860805122566,0.44608126138353865,0.3818267020711666,0.6266245518926173,0.4396277954768228,0.3693427631152899,0.3629908898367944,0.45911498534089457,0.4614902993424719,0.39254498472668115,0.3733108225058563,0.5634971438680547,0.38249878649940955,0.5840543645214181,0.37546542079947115,0.4727846882681503,0.48844556812956524,0.4844895060584827,0.6209018663438295,0.42220331912116643,0.4210197472763978,0.6861115500997755,0.36273563069099324,0.27308517889043393,0.21029947954661488,0.28647140241314506,0.26359134226862674,0.29272112510490095,0.39434210968717487,0.38449090464214025,0.4812599118662854,0.44371972210338956,0.37106458654674884,0.3307320987332046,0.3342311017574329,0.2507780797536015,0.26080392582291145,0.33137069338501357,0.296482822364408,0.31237258575613125,0.32002806769377035,0.3721233927680243,0.36044521660980255,0.393701812876506,0.3820466427504742,0.4473293997130257,0.47692019735302593,0.4596906815054866,0.692817767613568,0.43246909209024004,0.4245455819365097,0.3549069993562443,0.5743089048981604,0.5288193360714749,0.428716253125688,0.32988415057385556,0.38119746306650687,0.32558112067685563,0.28697316435751047,0.2991744127549163,0.24235309751867334,0.3292603351859448,0.40575949139708783,0.4506487634089963,0.7054756031725615,1.3337278962540504,0.975244724209858,0.49795619102222977,0.3511268710012805,0.39638617027112355,0.2976640157889929,0.3443796611228691,0.32590125261423825,0.32978500006031214,0.3253368974602751,0.31984793686549545,0.41001847504419386,0.5515799527527511,0.486883730687853,0.7295749840273751,0.801100351682847,0.7589674261017889,0.5151104666882383,0.37605071303293225,0.3465568166846625,0.35229239205651364,0.29469484777644417,0.3584258407206125,0.3686582650037078,0.5890656973618014,0.36352433235144993,0.42359897027201326,0.479353057088148,0.34561622482747095,0.3834988838767031,0.4875052908400273,1.6515365568145508,1.5970253537343118,1.7858484741225458,1.7230110723516723,2.218661397730025,1.1805767926304467,1.6595832947443219,1.6037579354988372,0.8257837467823571,0.8845800383972912,0.7080740628376814,0.5615735571664725,0.5151495714558347,0.4228215116747085,0.41278896081155053,0.4346678951942512,0.3109390335343427,0.3373877563676873,0.3151268095753666,0.33012768353763305,0.36190653704449305,0.4014969478196254,0.4362422274961925,0.4249266930374755,0.5060786672055141,0.5266315671248254,0.591869103010115,0.6237494324206889,0.6826596279400658,0.7803174253294097,0.7800581820100488,0.7505725062765072,0.9599819497659026,0.6870877152420484,0.5456698251887384,0.6040996581194826,0.5625201308081151,1.1706588538436757,0.7931401696460805,0.8759264733688021,0.8326620946412888,0.6125731140224667,0.6394788295935454,0.6022924806602689,0.5784965883246789,0.39651242296784295,0.6296265293730392,0.57684559224931,0.6706796157492184,0.4652928657422613,0.843924552324739,0.7244903732314618,0.7224148720248174,0.9412497136607844,0.44497865904035483,0.507393826176939,0.5355083632859459,0.6038247594960794,0.8124374890984067,0.9348109276510455,0.9220057753789772,0.7617286603016009,0.6189308948187793,0.7544237331873953,0.7147536808258075,0.521213047603926,0.6587500677439118,0.762068258356368,0.5892106056393659,0.6248444215852059,0.7957344885557807,0.8748426211421215,0.677055105551581,0.6825504430726436,0.6142021919629286,0.5391756088788008,0.49667099616935534,0.4957873212497986,0.49383001635089174,0.4665893826031568,0.46852001956051614,0.4598580919058401,0.5124806331103456,0.43458293134147585,0.4621910759644588,0.6820245416378902,0.5954087124372217,0.612717455228638,0.6140931190471224,0.9552716932818139,0.8296969270740288,0.7829187198974803,0.9590700101394696,1.2224600978339006,0.9901682298477171,0.7539391767896645,0.6516233839688297,0.5630139394425857,0.7871691549269397,0.6899538497654757,0.7599004733778463,0.8055759603098327,0.5803221018556073,0.45037684714471016,0.3608000212089004,0.37160785498607585,0.30215630786318043,0.35810395562252734,0.44701605323099686,1.2824348081179715,0.4397503246904757,0.4337868925576421,0.5825243388393443,0.7142138058266602,0.49110952119934326,0.7051714371319011,1.0813567734814133,2.531395454416455,3.2236778468986182,3.762805961912721],[0.5202356445974476,0.39762665372591977,0.4685326474565475,0.3944138256283639,0.36630454724918904,0.3665729212756677,0.19260809458119477,0.2871017226083563,0.26922653174122707,0.23906690125729196,0.29572875138025984,0.3698864252021726,0.29379384315078677,0.27853531475431975,0.39032859825921296,0.33028439598760095,0.3926726999628348,0.3734992347302919,0.44618513746908506,0.41799045493328796,0.4528558161834872,0.5121526700744334,0.5653918276209944,0.7081104448082745,0.5628785157475218,0.47453913015291055,0.3917281309679575,0.33880699362788136,0.3599737169370795,0.36114201399960827,0.4038940919545492,0.3818899396099051,0.43357754572475604,0.41711338670801734,0.3916804078377974,0.3533967475247557,0.36799503838276393,0.3498837607754593,0.319143639395821,0.4022878839226656,0.6268071763682408,0.4786825796980023,0.4636217037177776,0.882098817389305,1.2685730112165188,2.473417983541074,2.5157796983935428,1.4075059169853144,3.007244079401637,3.677256977515224,1.9669924264030219,1.6958968403528898,1.2068092396482164,1.0242384902953532,1.099487841890354,0.5645165576174811,0.510669125726127,0.5283363526629663,0.8773548982598726,0.7270621504636933,0.5440520600198119,0.5890349663671196,0.5694753169369753,0.5811898010114384,0.4635117314892097,0.45646046777547217,0.6366693054992291,0.4521259702742582,0.7428911975024984,0.6807638653234606,0.9395227747606407,1.155196908505746,1.0171969348903958,0.6880878938675264,0.5976232500735206,0.7566018696395408,0.45753017758911496,0.47161600152167,0.40623294577509583,0.4151867190164526,0.4051225144305054,0.40275577204676233,1.1057754909541169,0.48105017797151506,0.5638562075364973,0.3440639279683098,0.3408185371144381,0.4686447316800151,0.3687168633790026,0.47792630092047506,0.4171609883955478,0.631888562008352,0.4592761291260852,0.41080482930312356,0.397508707820296,0.49167736204042234,0.47442049703970274,0.4335200288481984,0.4135555222693454,0.5971902135337853,0.4192814308539912,0.6100802279194966,0.42224207797247487,0.5060470599270277,0.49528229201410967,0.4650294402803545,0.6403849037836443,0.3627043152191045,0.37214744194419264,0.6871096647407993,0.3084113681743903,0.26935243069302633,0.22094133225701235,0.29534444086206174,0.2892078761970112,0.2934407088836945,0.4052230587729449,0.3748906217048428,0.4664053086391551,0.4411426303889683,0.3693745777473558,0.3269191838792207,0.34100168572690187,0.2503066584290701,0.2538919258801658,0.2922958252846314,0.2728126406083855,0.2883334365492356,0.25776212263687276,0.3193651369648199,0.3003416083273103,0.347552830463487,0.3155946711318954,0.41903227217430367,0.41915142895593316,0.3935708193007614,0.6490090770007396,0.402984142577592,0.4525425678782005,0.3523977380906334,0.5810953281044603,0.5032204532889607,0.428409723439209,0.3290401247776963,0.32805357632756,0.3329741773272107,0.282632524297872,0.3137908547247271,0.2870550492738474,0.3327962883223718,0.4142007213433343,0.48147231967839,0.756196458675844,1.4991951755984916,1.029357870932408,0.5510899319271445,0.394949678191128,0.43473308084030493,0.33599548689527786,0.404084999934566,0.33788311209869765,0.32799692040242506,0.3129004614269156,0.2931390300917248,0.39524554951313734,0.4837899431090193,0.4160395371916938,0.627118652830192,0.6980945651756596,0.6942849295443421,0.45906444300771515,0.3529608288695008,0.33924339237183154,0.3517619068929028,0.30849895739465105,0.4020379134493746,0.39562783253839384,0.6491859326504946,0.39574189652227193,0.4501770905041975,0.4814411140582965,0.35748012319478045,0.35682134794275633,0.43153799860052305,1.4474408084907546,1.5615142163696263,1.731486453595304,1.6826653252114654,2.233993083378032,1.1418741719581982,1.7370629780969242,1.7356401783091258,0.6787762768432325,0.8050559391512775,0.6450616175819319,0.4846035155921464,0.4945153467687468,0.37552036617048656,0.37341939219696046,0.3912079100737538,0.333535511157985,0.3752633360925703,0.3242832227978957,0.36653430337565485,0.4165933037384242,0.4440094274515775,0.5056182668295379,0.4848989103645546,0.5480909227797576,0.5779724926440558,0.6495220868983052,0.6632859667556187,0.7118693915990106,0.8748898973569446,0.8045580772473984,0.7776841963832422,0.9810051832601135,0.7241615957311187,0.6024917979877488,0.6335006860594421,0.595372535752562,1.2640128340562178,0.8155086230567007,0.9416372263037731,0.8535618742422106,0.6724076138579039,0.6962129606414145,0.6852020349500358,0.6028894686930791,0.4256325840190367,0.676736959793923,0.5856010949756617,0.6457663565511758,0.4454481653224292,0.8767926000353914,0.6284670673332424,0.6900000929274609,0.8761653833463615,0.4111767531699542,0.5004643283789533,0.5716432257990002,0.6598712530440533,0.8588049324264865,0.9990388594742939,0.9995969206083014,0.8009465341108049,0.6737250196683111,0.8303738819910477,0.7583953841550145,0.5740299585741979,0.7021802787748982,0.7810462190771539,0.6154308860478777,0.6486405895882427,0.8163886633935125,0.8349417886574807,0.7080695869052689,0.716152527557695,0.6556161120045592,0.5866233807409741,0.5572241185053575,0.548589640311054,0.5479243212743244,0.5172962395702505,0.5165625896553706,0.4973484157745716,0.5463644096942845,0.45981812806936545,0.47938513424299445,0.6598884721871494,0.6166191655606889,0.5981492907198582,0.6180500430240985,0.9192119133713306,0.812166954141149,0.7883558617284562,0.931329871519157,1.218631955439223,1.0099007410665501,0.7943585328203389,0.7005283387189312,0.6296151167809654,0.8471773177284676,0.7245645383076532,0.7428438875646177,0.7910557418876215,0.5620578250763508,0.4561217936230024,0.3299918377967109,0.34301917201564,0.32585546305833374,0.36100487028395106,0.5118064323612824,1.4221772886584465,0.41361276415623,0.5167543102980022,0.6795070881859774,0.6611146148509056,0.6220616391092697,0.8026953934904103,1.489110819592673,2.9962731907294127,3.9458674751895573,4.7603187260256625],[0.48448219169940854,0.3545055765425843,0.498561289571187,0.3952920552607402,0.3818768684385207,0.39671564752855903,0.21478791315216467,0.3821812562965871,0.3023686507023489,0.2789494228950431,0.332844029500553,0.43455647133182984,0.34840764023449156,0.30588223715143886,0.4424488177463791,0.3787071197930345,0.4190591757113398,0.40071311543567545,0.4502343505484661,0.4254008607278857,0.44276469270700103,0.5278395873350581,0.5423097808522493,0.6569826982144307,0.5801023060539298,0.45907110837965204,0.38618389568268197,0.35537539775583354,0.3874034127341647,0.4006586009833569,0.4294414932555108,0.42113427485972094,0.4865008187602337,0.4642974959699416,0.43197183275875795,0.38567325730817115,0.40718486806267606,0.3704789445748653,0.35100584047668504,0.4370832828114699,0.6598083119589805,0.48431888706863163,0.49329795921626174,0.8664267776874891,1.2543714572358786,2.4453172554514455,2.4932694835876252,1.4055949301568516,2.98739225050119,3.738208432638749,1.948055452589463,1.7127711927084504,1.2340491080414442,0.9970669417326716,1.1504474796728417,0.6030866434863849,0.514025846241535,0.5230372882635638,0.9217452171272104,0.682272797876563,0.5502491528993545,0.5969382533603561,0.5692351552728889,0.5775229217819926,0.45939738466772856,0.4596626568149383,0.6250580656619008,0.47168659863489276,0.7257336643328393,0.6762920548834097,0.9561017415723332,1.1696345484552513,1.0399451035810865,0.6842066824814346,0.6053093863892418,0.7548114366485861,0.4634818621524301,0.5027410700342959,0.45039414520566495,0.4394126218286283,0.45686292266822737,0.43692690863559647,1.102071272152544,0.541929244288178,0.5111304430328387,0.4010128447321378,0.3729647943439692,0.5091963609970268,0.3888103687389988,0.5033422809236923,0.43392630041406,0.6099802819611733,0.4722037544416965,0.442605554679851,0.4197886777749298,0.4907918466477774,0.49783393245189916,0.4634957738524923,0.46072205779501835,0.6429206932440344,0.479179929019344,0.7005587855658447,0.47694251340728605,0.5809871562104765,0.5779504184819537,0.5179416573356856,0.6972100887716588,0.40737036315065717,0.4335184865294563,0.7260526878092315,0.3812903859169672,0.31993811765175484,0.26530196224924263,0.32881652397870903,0.3020812277931606,0.31949959669097916,0.42615507066613834,0.3599619248045119,0.4275107287174288,0.47494289864716543,0.3675188737885176,0.3320759326163619,0.320046534970708,0.27330034709676554,0.2799780398497976,0.34153092963472975,0.3127557064349122,0.3318169588160723,0.308088835779297,0.3746033515378051,0.34109140716847436,0.399872673416006,0.3572412256808937,0.46463529863189856,0.46751263362534173,0.42691601503804166,0.6593014538567447,0.431392803180167,0.5031047444390604,0.37720238327186983,0.5543415250799241,0.47727769313968116,0.414359499852381,0.3428071904994528,0.3695783539322674,0.3519575947249888,0.31580766208766786,0.3506949200335498,0.33034524666951315,0.3770841822152184,0.4760627287826571,0.5126611537736652,0.8503513690751782,1.4259925353772578,0.9597117338258386,0.5943923089899055,0.43258986541284106,0.49477492868677275,0.3836766761309097,0.4630898127928509,0.3568354937691744,0.36530792811194746,0.3347406015755873,0.3172831026963545,0.42650659111431755,0.5076483075258342,0.42794271536250555,0.6191333429263731,0.6951643015862672,0.6924497298449599,0.4638235566423933,0.37073973326243065,0.37869547399721887,0.40202730248368185,0.3684903100981216,0.4566490874670944,0.4462604775539564,0.7355678718217763,0.43943399000520855,0.5242140557549663,0.5067242303678451,0.4148628545120391,0.41563951600540705,0.454544463642727,1.4577192787420112,1.464878254853349,1.670876305520284,1.597194767267515,2.1784849663735177,1.0780757906108258,1.7539476096952957,1.8781081696418,0.6534812115476624,0.7953216396973174,0.6117839956373868,0.4789672041963704,0.5166738410167969,0.3711234486266038,0.3689669077939565,0.39513348204414617,0.34689289443228766,0.39740067352654695,0.33906428940809585,0.3866241263026945,0.441175874527505,0.4498298531256399,0.5421834853707677,0.5206808745024754,0.5826353199227553,0.6036339386730958,0.6896065086728157,0.7025201384135349,0.7414912772265723,0.9570711940845619,0.846592813668294,0.8235685821244346,1.013077745351929,0.7772187314978212,0.6410212077576221,0.679367989678633,0.6354839884696067,1.3275368775745267,0.8575402740931127,0.992253560243912,0.8722424413967527,0.6963950677165425,0.7075454225862645,0.708137405120627,0.6115953454301123,0.45258129712161593,0.7290878951785067,0.6091688987577869,0.687711298958004,0.5031714732771726,0.8922794557157766,0.6449202979680548,0.7084398098728253,0.828965629445361,0.44770922540920766,0.49068566613829706,0.5789942252461859,0.6866677713505568,0.8794390386614044,1.0415641027047062,1.0067461522878918,0.8413561548412066,0.687670109630959,0.8391459140383885,0.7948194307245399,0.5987390507917134,0.7365903971912867,0.8100907233605193,0.6546238438433908,0.6956319381252702,0.8572641117583988,0.8549969067303269,0.7461342813740418,0.7593980868511985,0.7056309375958933,0.6363508704490507,0.5912531232762752,0.581484954190888,0.5942390215215505,0.5593457652033326,0.561452902585287,0.5433291533690732,0.5844828085633389,0.4931851067581808,0.5129780391689799,0.6971651141275562,0.6530885329120658,0.6154250045175901,0.6498694170099921,0.9347521303031006,0.837730717647399,0.8108104362306107,0.8962346929819962,1.1665275584382306,1.0491928707583262,0.8410104270042735,0.7463577699684215,0.6826694089865986,0.904170300957716,0.7732748552365419,0.77932182088734,0.8188047888314076,0.5895986064121111,0.49264491154838236,0.3413002838644504,0.338839596134428,0.3486103445338814,0.3926136641668953,0.5420357370058951,1.4053739197602324,0.42390271037260985,0.5277332920442033,0.6657278702786265,0.7189730036996821,0.6251267874716866,0.8141249674092944,1.4537388612406013,2.945409410668327,3.845168442272073,4.394471897494137],[0.5246342920926867,0.3643697531664271,0.5657424715977576,0.4765779614957999,0.4816155512509539,0.4735280917271467,0.3442009718747968,0.46375080767579774,0.35299342058836436,0.34776594653327536,0.3812676234990236,0.48477912481661667,0.40586523595326396,0.3644024729314371,0.5151909705839383,0.4542761169804866,0.4843365131031118,0.46646165838840137,0.5145257306757691,0.5044887873352059,0.527574761394142,0.5720891315779834,0.6026727700205852,0.7422984608334813,0.6234602472714534,0.541590336973616,0.47525521081427896,0.4561833499320864,0.4727901699072061,0.48708166234255673,0.5236777154229729,0.508748905088308,0.5849689531784901,0.5726571712440248,0.5339073635761035,0.4726895305827843,0.48066007516561793,0.4489864702841487,0.42759509747893126,0.5235637316795306,0.6797332036883208,0.53521739562051,0.5352358043362461,0.8117889543893063,1.1471193342446024,2.340154077094724,2.3095685712469654,1.2449161676640539,2.909241861471543,3.582603617336659,1.8591121826088888,1.6081001858197177,1.2743382349671233,1.0879711403502614,1.2439631700617486,0.6855634906203396,0.5656420144738603,0.5651605831089965,0.9432031684880052,0.7152303189327829,0.599203096236111,0.6578212834505585,0.6603639117761637,0.6934790099698966,0.5367422829145094,0.5385248019045811,0.6940440828158693,0.5561374543488478,0.8227628295250023,0.6891083898532306,0.9720615792116484,1.2196960578765732,1.0711493955973108,0.7748082462836394,0.6680481219799405,0.8668765961300072,0.5530284892055026,0.6042642770293228,0.5310922096273897,0.5175935023778963,0.5295287837679002,0.5206668080164478,1.2371424155953186,0.6858585739004979,0.4927766203454802,0.4739986065664012,0.4605126308255776,0.5781109853316583,0.4843894873018676,0.5893547200232266,0.5284245420920181,0.7025659900147273,0.5729115111154538,0.5497526872922833,0.5165339262707415,0.5871046356931451,0.5782256963509612,0.5639718205625369,0.5629789696901734,0.7702150851705921,0.5723933482985729,0.7564899247127794,0.5800091359653468,0.641755127575822,0.6355012968177358,0.5771459862288915,0.7645129392443494,0.45829065789730883,0.48365388167425893,0.7748310597312853,0.4450282236844217,0.4148505422780303,0.3808228578922489,0.4477016349380662,0.40967641344433287,0.4487584989639434,0.503519112210777,0.4982002273315685,0.5740690749669004,0.5566505181056193,0.48283805637234983,0.45038527395946504,0.4782673889405324,0.42486687778639437,0.42497289212526645,0.4320411787891552,0.4061445651401041,0.41679479414321396,0.39241857819787773,0.46996596323502715,0.4285356571831653,0.48226751999953343,0.4344038460732053,0.5481890649611643,0.5139536527648627,0.4861386797132596,0.6615901638139216,0.5361544083970163,0.6186467796235371,0.502989167492503,0.6721118362204754,0.5792569257814294,0.5362997250410088,0.46729868689579457,0.47399003606223145,0.4519252370675566,0.4287236935714893,0.4381286496953439,0.4339221220557849,0.44503738122957864,0.5369468515477419,0.5777444793388256,0.9869824785102203,1.6870630901673789,1.0688923420583785,0.7269241618871114,0.5207632176916193,0.5673587104762708,0.4594754278815051,0.5460596959632272,0.45743777728949175,0.4526931217372801,0.4181287359552185,0.4173575171505215,0.4821607037135165,0.5838208759291412,0.48893661559289187,0.6514850374615823,0.7276208016730431,0.724765503457602,0.5198890178366659,0.47366947205590465,0.46222929385421524,0.4884596552476651,0.46270761677064587,0.5365907684656199,0.5113217271248771,0.7940469274182951,0.5303170480464443,0.5844898975071676,0.5809445623133901,0.5137967576141625,0.4962005753599146,0.5270365361474116,1.3579849953733707,1.427653495712396,1.620305856217435,1.539787078447112,2.1333866537950144,1.0514339363588594,1.801775970907799,1.989071812484196,0.6946903891985151,0.8271217633820366,0.6679013115112846,0.5620168513918015,0.5871332924808614,0.4489597803248479,0.4476970504162975,0.4606488146754823,0.4434968531429045,0.48018982167743074,0.4273087161779582,0.46723338683731414,0.5234490689397187,0.5191674117232749,0.6084607150097544,0.5901909340122713,0.6402708319009655,0.6509137403633241,0.7422959836254145,0.7532944021625413,0.7746706983477876,1.0280477246817117,0.9089943897930244,0.8904288438506143,1.0567836974888096,0.8537825941521233,0.713341663956647,0.7427508462341671,0.6964772028095702,1.411897789160118,0.904298010093462,1.045618805182002,0.9024123010450856,0.7577395765886059,0.7738555390591512,0.7904313149030542,0.6754656881053883,0.547784126572005,0.8247111014255764,0.6947734933261965,0.7718430994157601,0.5940471877517568,0.9357918511397916,0.6799864764110121,0.7256365339914226,0.8258963427609959,0.5122653183140202,0.5585973403787298,0.6625705422443865,0.770620217628235,0.9331734578418039,1.1098246664442055,1.0650689944901863,0.9048805329150824,0.7597652246049406,0.9175263207094286,0.8632259582078385,0.6634866640051049,0.8198680921461252,0.8818182929526989,0.710769112365094,0.7678895673652057,0.9481500702690331,0.9020844084227978,0.8058614174569865,0.8348140313862559,0.7624013252305435,0.7078013028978498,0.6675965354418025,0.6534918738231715,0.6583276003035324,0.6151498601946007,0.6350260727441793,0.6132522790290983,0.6503971360633136,0.5703579173552241,0.5838201507209978,0.7555494243565399,0.7182017390608271,0.6667564380194468,0.7080223603391945,0.97987422439215,0.8922852667705988,0.8699055563754146,0.9335568592511864,1.155655838631229,1.1254591480275746,0.9131835482276632,0.8179454567286715,0.7581285543408053,0.961313495524671,0.8272726307307615,0.8313551743385844,0.8505798685111053,0.6403181833837829,0.5666858106894511,0.42744864233128094,0.4224046114587044,0.44253290167440806,0.45379269282304735,0.6050104103811529,1.478172494368653,0.4596399760365711,0.5964336767726419,0.7016545558194568,0.7364727942269444,0.6394120848750926,0.8592467578449122,1.5241162889695647,2.9728192742158708,4.14483203698231,4.486618894915001],[0.9631740530534745,0.8905183037858769,1.0965960180362948,1.0544160054908378,0.9666343834748372,0.9868516849507327,0.7786653072312801,0.647160379609523,0.5965155425751046,0.585553124993252,0.4954764939764373,0.5192842954002277,0.528394405814729,0.5373457206231882,0.5999807559275592,0.5431391040705487,0.6521189223272851,0.6197262821768119,0.6815102904988073,0.6370519170452265,0.6983643035423358,0.7521990108107939,0.6145809113341822,0.7816744906689846,0.6063215131171149,0.6818205001424956,0.631161358387027,0.608188866573393,0.5980994335835521,0.5965874889430743,0.5673857710449824,0.5851075278246501,0.6450235048468898,0.6314313710840911,0.5932769015255162,0.5619876931531809,0.5954351143523895,0.6048655350484355,0.6335806951644757,0.6227373747103595,0.8856242786911437,0.7006944240906823,0.7657515228874496,0.9543578375117309,1.322786548232665,2.310218777098276,2.2622403133426983,1.2944313586669547,2.803736149021226,3.5001629668100542,1.7033777675613488,1.6956814846388364,1.2429110130591248,1.0081492264602714,1.230617814734527,0.7561495612247435,0.6620361398517799,0.6317403497969192,1.0247079247556343,0.7769305104422956,0.7152621113084904,0.7572355416632665,0.7200873526408137,0.7673545088299918,0.6537965671852262,0.6248903903033853,0.7429173530188089,0.6650448051529964,0.8405430985813734,0.7365004750095895,0.9842869017973909,1.2034190799030369,1.078097605488786,0.8009688954376815,0.6873739134082548,0.8546576061815567,0.6024928989621327,0.6270547522478268,0.5979624592318281,0.6060936877136477,0.6110235252385693,0.6455670606259417,1.1562477554712296,0.7043364842898513,0.6688606421467096,0.6229487047916002,0.6017471495428895,0.6697252031604706,0.5714660712824432,0.653186630982601,0.5831168731348686,0.6816404029037231,0.615570069841809,0.6068775106752698,0.5630634147129964,0.6076540747391367,0.6201128706415796,0.5953700036152765,0.6064842803201694,0.8393471782994083,0.6381284222723725,0.8233205923455587,0.656213591407833,0.7253376423074439,0.7747769991799951,0.6985076495197388,0.8407074174044834,0.6759364933173586,0.7301099335366398,0.8412363814236248,0.7074258759485423,0.6561843652309284,0.660922550027288,0.7097207429641956,0.6447785425625961,0.7050127189174762,0.6484588518102159,0.6824198799769865,0.6820513358037592,0.7293323208135243,0.6211827194790305,0.6401286756619473,0.7647857526482206,0.765084688246276,0.801584155570463,0.8864437485108464,0.8407400689115425,0.7966152661107511,0.7528920476542755,0.7010544053595295,0.7409622432387495,0.6829771943172323,0.7296298417322663,0.7316193095996903,0.8468878230967032,0.8398234200713144,1.1257691617164114,0.8527952226593248,0.8483388229602581,0.751557097217947,0.8162270355193885,0.7433353684553942,0.6666896991433451,0.6644011414590605,0.6350764729814051,0.6314394983677342,0.633889854399347,0.6048325380063315,0.5730828633779196,0.5808915141941854,0.616823564229792,0.5877014825284054,1.0209603583304854,1.4816048543823515,0.9653167833203616,0.747548807167265,0.5827447035356419,0.6140629192851843,0.5486666145507557,0.6515080951148684,0.6227197352108677,0.5986081469132571,0.7029481715193847,0.6012347947555938,0.7910822672257123,0.8858440028931392,0.8428857096744671,0.9907337126757848,1.0877386177439456,1.0854539239597827,0.9327795302058717,0.8072798426466737,0.7151792834635308,0.6544019731458299,0.5864389595164003,0.6168050392062797,0.5931731947330731,0.8925457776995441,0.6122760651129187,0.7556937178603117,0.6679610831981652,0.6577098398097834,0.6854127899599368,0.6953990980635293,1.557475288002042,1.572013545911894,1.7502631307221135,1.7350640256164997,2.354101598233736,1.2432729514175167,1.8417171473683382,1.960974933706769,0.8568206989635372,1.0911544467687786,0.8929508139382185,0.8564687065117108,1.0075988008604122,0.7357523848701062,0.7469164608298428,0.7165706803567902,0.6972759870033408,0.6883605297332687,0.6969285778897105,0.7675947877181301,0.7370583225094233,0.7325309548894746,0.9196540138402447,0.8414405661089067,0.7960532394949539,0.8936212226231589,0.9931020966478495,0.9648157904491766,0.9664922846888305,1.2991367193586214,1.1403732533728705,1.1477373551725318,1.2022777498425274,1.134773263775123,0.9882951478306251,0.9499412236880228,0.8997511573746177,1.5806306575871278,1.0466238202099918,1.1228066214504095,0.9654467515864531,0.897160543336961,0.9023179176940861,0.945361068644121,0.8786231992899511,0.7756722062989754,1.0147860659516976,0.8338964425870271,0.8787298557486419,0.8054903606787598,1.1890997107147563,0.9074299292742497,1.0050285634236873,1.076933646332533,0.7776845974293182,0.749230022325382,0.8084617792134677,0.9010960464101773,1.0317061355173378,1.1926623525884468,1.1371305026276517,1.0227865608167204,0.8600915663532409,1.0161515353601416,0.9665095611915819,0.7870801459575173,0.9161353568468324,0.9637293540148256,0.8306094076445925,0.8596519132903413,0.9993812856717087,0.9512634795763663,0.9018584735975729,0.920891225986958,0.8882516862180925,0.8267847515977352,0.7783065949851122,0.7733635127901081,0.8248917001523174,0.8149510505951155,0.8063996325568435,0.8207041595712062,0.8789465116885843,0.8385211888728085,0.8267687118217718,0.9564921450868752,0.9675269418647162,0.9520278142966773,0.9656794424397628,1.1740274660961167,1.1261029473319908,1.1343014509065297,1.1860401905974882,1.3496758438925274,1.4362269050477903,1.2304086397275462,1.1137503979879575,1.1052148278556093,1.2868655484149862,1.1728453226057316,1.167900654081152,1.0971006244488928,0.989694374745376,0.8954577093483498,0.7657791085642053,0.8145488338241436,0.7873784085401486,0.6797492886140377,0.7845780749597214,1.4547036057118823,0.7319800029960253,0.8228391672264302,0.7301067493646398,0.9973937921674166,0.9779115073160153,1.137098512342151,1.5429559833162652,2.8217271802408046,4.020574487470565,3.872928853777595],[0.6851916173142732,0.48856491634469834,0.6970154704377821,0.4957943311092528,0.5397378006454623,0.5421922735413894,0.37765884854320686,0.5416765874062047,0.38740427177009135,0.3873554576655394,0.4844146795706151,0.6339846067824282,0.5480593866804124,0.446975904456148,0.6992701851743088,0.6604892996408426,0.5957796051037988,0.6434104733069184,0.6304840123726515,0.6584063287256803,0.6981488922782979,0.7297662578474322,0.6908805067789038,0.8127993573084193,0.6540408091696213,0.6267687935266368,0.5782968078685341,0.5460741225318855,0.6052899552975157,0.6743124920245567,0.7330697857374284,0.7525400186454826,0.852512832282102,0.8351747632151817,0.7880323066446379,0.6988510344997656,0.7209975796494283,0.6449104915784951,0.623366500272527,0.6590739039636315,0.7557438038800338,0.6877428618375845,0.7695953013578997,0.8138571794760865,1.1071879519662342,2.217467666266329,2.077177335337199,1.089319791356526,2.8037416660800303,3.4177590893856307,1.7026488925000607,1.5910330914307682,1.3407792144794024,1.1079064382905828,1.442586202155713,0.9079668689831372,0.7301592123063956,0.7797802066019268,1.13208822232302,0.8427544994124395,0.7788904637337833,0.8631392142948562,0.8598762718317833,0.9134890525318384,0.7230678559264722,0.7107188067664344,0.8420221278720312,0.7537642491234727,0.8728559172881702,0.7837426820952306,1.04527854805455,1.3472820502454146,1.1971769833417918,0.929376169401317,0.8220971468063066,1.0743202744548606,0.7683865757899732,0.839839458305877,0.7872250217200257,0.7879177712914545,0.7999009303570522,0.7544146086719723,1.2869975036146006,0.9215171300722669,0.6605780910612657,0.6893295784856963,0.6903295530469323,0.8220390657361725,0.715471077191307,0.8332580844842239,0.7759952308423131,0.8947295221039608,0.8172603482056994,0.8267506055273515,0.7660543258472795,0.8184000758832956,0.8180630447851409,0.7961145532477121,0.7847020849838544,0.9945873614269162,0.813297724374572,0.9473172215622782,0.8182258398724894,0.8283713030455294,0.8360790335697841,0.7304201373775515,0.9288142038534543,0.6677620016712055,0.6602869014300367,0.8415776543123635,0.596241448451511,0.5479507381288208,0.47263950840377716,0.4932313459225618,0.46494087214753316,0.4285450729255132,0.5125784380644872,0.44262148811762064,0.563015495646525,0.6411363032798789,0.4826299571935757,0.43696887363552295,0.4248579053187963,0.37203997606452616,0.38539901682066824,0.4605771757164864,0.4916141079996934,0.5370027266757943,0.543346874524042,0.6189366558857572,0.5558736584097284,0.6201002174962138,0.5897507058237585,0.6883580566240618,0.6802488015796355,0.620492980839767,0.773203260926833,0.5674245337788131,0.5785732029861811,0.48002542033560697,0.597655078119665,0.5295256050197416,0.5124851020724814,0.47323446317424966,0.4875902528671665,0.5219175382642123,0.4876867334595388,0.553696692972555,0.5412957313196011,0.5201415956779312,0.6530832813736316,0.6714597303970452,1.1874364711905967,1.787563158655325,1.0650603520459,0.9149807931254065,0.7204483541446667,0.7425571869682648,0.6694725348758536,0.7342231561073396,0.5892347112178588,0.573246947412171,0.5381911833432023,0.5255184903462713,0.6214975680587407,0.5951759938318049,0.5717588953249277,0.6790326883589696,0.7694753777910726,0.7585328085455337,0.6103540461829489,0.5516040770221757,0.5840933453494683,0.6193239294806616,0.6265416674622225,0.6980232122037525,0.6926920809307157,0.9556326123330645,0.6985579255735572,0.7881932023898496,0.6889180195119525,0.6596457241052599,0.6702677699795146,0.6855802285369805,1.315353354012008,1.4641877198729238,1.6295308703052607,1.6149068677629337,2.1998602072337334,1.0836767701228436,1.8373741751273531,2.0866339755328784,0.7475054753971612,0.9300406824117492,0.7304629535743918,0.6689866351926683,0.6941060974565311,0.5774198004372662,0.5589150674610346,0.6048659804389028,0.6232485942271291,0.6719421998672372,0.5849970035584602,0.6145243374292034,0.6832863539510449,0.6573372655914279,0.7235466173736466,0.711835562632197,0.7750018483367792,0.7534741150376535,0.8382604990981445,0.8899862837744051,0.9015751200112337,1.1842605358710507,1.0440798226716095,0.9898455511113384,1.1307661806628932,0.9705762870033385,0.8438405388561137,0.873801935961729,0.8394751726380255,1.6184776094078823,1.0302544463940266,1.18371390589502,0.9851836340636176,0.9601465226822393,0.9467274105438643,1.0060153482068175,0.8808685231476687,0.7593742608819815,1.0183839451837928,0.8251243443871755,0.8404434685126282,0.7395397650646299,1.1369874168311493,0.7425572772808322,0.82451350925807,0.8739182960968662,0.6253658048296122,0.7431362194800611,0.8147947458795332,0.9462975700628,1.1030492773126606,1.301955615770643,1.2513631127636837,1.068676930151919,0.9632467108046953,1.1390722088627954,1.0321457137804142,0.8304145606235382,1.0174615834881109,1.0398869328199098,0.8608827435900985,0.933463534854406,1.0976962553272254,0.9929271449385088,0.9496617043547867,1.0163941151714084,0.9324102563310517,0.8973866718248968,0.841060603803886,0.8402481496673087,0.8552609550446103,0.7738790035653657,0.8110184955920555,0.7732930942901917,0.7906901467798058,0.7041648332925131,0.7401701708490445,0.8350000469915245,0.8041617453819956,0.7570376903867369,0.8080351224257549,1.015206480960323,0.9449140830054614,0.9344030011895667,0.9968423157277622,1.1295063642470746,1.259048567381476,0.9985867967583423,0.882534703118404,0.8650238700493135,1.0654897543210666,0.9152989619057993,0.9030420229157057,0.8851915602816,0.7279760009246284,0.633247549144709,0.5353405527527959,0.5142967536750873,0.5681353067117753,0.6273369448218299,0.8085620904678088,1.489086403669334,0.6084698527520254,0.7214078260130298,0.7950040532430713,0.9128041726108427,0.6658167929827985,1.0483997114325894,1.5447268055222614,2.6194529451562794,4.129896896405945,4.452311949696916],[0.5492552968792066,0.3439362807557828,0.5549163183325112,0.4026365696857784,0.4256381419600013,0.4334422337440418,0.3111450679477825,0.46854200456895156,0.38627873748173586,0.4339883631446675,0.5143404915310839,0.6046584503077331,0.5407004368643205,0.5121879331077628,0.7309383751171158,0.6590016514779968,0.6169104620683936,0.6717800621351003,0.6954532384908371,0.6800708961301137,0.7333831864871418,0.7447722341504946,0.7577370546934181,0.8874597526722995,0.7071245135917751,0.6886436186532648,0.6236705224495364,0.593062357147855,0.6273402478704898,0.6482739828230417,0.715071065043238,0.6957321484388512,0.7825540773684139,0.778215544554548,0.7201561292008967,0.6641690921075483,0.6507891929553066,0.6081474450978993,0.5804353864950184,0.6176112134548968,0.7442377844893227,0.7025972923235877,0.7304404510554281,0.8553691549354873,1.1413052156538732,2.289472789784277,2.1355838686345177,1.1148219828793595,2.8614191014209074,3.400639814055103,1.7481422291382525,1.5353927987349807,1.2782373830284408,1.12324882156188,1.3489098692111843,0.7912048132367188,0.6746427670051093,0.7137794183977486,1.0248988844880598,0.791888208120586,0.7682196878845966,0.8300426033517887,0.829325634613577,0.8851262511690233,0.7339748189462632,0.7159914432867156,0.8786109391592993,0.7611281544991179,0.9349815853879092,0.8002777361007273,1.0619172239545829,1.3529062084130379,1.173482829671741,0.9545954305604852,0.810823675166994,1.0526563103928797,0.7525129941160963,0.8010028933885421,0.7308258779604756,0.7206009000996809,0.7122937461150565,0.681656606379124,1.2894175456290686,0.8420537592613733,0.6172721832151464,0.6270272187618292,0.6380897896687713,0.7493394252806348,0.6825135560283437,0.7797775880668512,0.7348753869418815,0.862453369369239,0.7796387718011422,0.7640720892597335,0.7311091957205321,0.7715153595534099,0.8064823860268501,0.7291563798911467,0.7239507968703023,0.9111769441065052,0.7220257230201721,0.8426096597299287,0.7408850305332177,0.7201016566821485,0.692782136549431,0.6041302695801652,0.7965986854088128,0.4860877005809471,0.4712727641590157,0.7480098528909629,0.4440795599740184,0.44075246398291124,0.39638361538301753,0.44572616004207316,0.4861100218165465,0.4727302459135023,0.5780787091528625,0.5407605502266036,0.6643149151006613,0.6877059686604262,0.5958176667382032,0.5420419346101651,0.5155380169128142,0.44760210370684916,0.41252820594526934,0.3852000848279518,0.3959711478916348,0.42007896959022,0.3861288764616905,0.5000943750894274,0.4381524205534158,0.5024827972265137,0.4734194331278894,0.6025451488346634,0.5390337131757561,0.4997629322305223,0.6743515157140132,0.5082925985526313,0.591880841392854,0.5013709817834224,0.6781678703272412,0.6074060640766312,0.5922810488983201,0.5298777906774685,0.525088665579682,0.5414826594310631,0.49921735924856925,0.5507407983592266,0.5087256205134018,0.501328605763374,0.5759489771329412,0.6319946951554024,1.1068885827557604,1.9975237934081536,1.1664644495540037,0.8684182597401133,0.6694583806644729,0.6775192485112146,0.6156438279360171,0.6477606714546493,0.522621537616013,0.5389972048938244,0.507068756516206,0.5141536635460714,0.5619421053783347,0.5713370712932752,0.5081553587953382,0.6104466456181245,0.6678056777382743,0.6930064465569638,0.5153910397405606,0.4768441208936687,0.5100979137312156,0.5348294552652354,0.5552439393467562,0.6076512053265787,0.6233634757405387,0.8232475117777244,0.6342125142704658,0.6564026234605589,0.6252573110442429,0.5679117776806029,0.5534814735777696,0.5758447889841837,1.279890166047172,1.4701657968544677,1.6277603656809028,1.6385220396373408,2.2272050617021115,1.0948712676209644,1.842694319891117,2.0009474387272688,0.7145227150838904,0.8683327752400908,0.6833267005993648,0.5795464497023517,0.5768201669525467,0.46051717826629945,0.42501704575116156,0.4731722251503205,0.4684330878665456,0.5217130119875443,0.44141857291846925,0.4765689225304099,0.547542812324096,0.5363098173856261,0.6100914928862432,0.606371846359136,0.6761428519549055,0.6746965669180748,0.7590572697462891,0.8002537183428834,0.8300257671320492,1.079509688439778,0.951684634328417,0.9110119481352107,1.0868755362113403,0.8782615002239654,0.7360375600043154,0.7709134791252753,0.7196252337059215,1.4847504381393422,0.9286775537672219,1.1047230838020305,0.8999828250783986,0.8277071322110696,0.8180841449041613,0.8650047754943924,0.7303453868944403,0.5800234719492341,0.8540005895910979,0.710953162145694,0.7330106361977091,0.580514092849475,0.9815083642813268,0.6418115294043245,0.7455248157660799,0.8509151453761226,0.5076518681767288,0.601885974486417,0.6807735823167479,0.8015444282564094,0.9866744372366731,1.160544801646601,1.1430460882424798,0.9358230567642468,0.8329147874726756,1.0122293864834835,0.9034491565146557,0.7061818697303417,0.8982599687213348,0.9355779909270657,0.7623836788332999,0.8377436601205686,1.0166584413565436,0.9389060731186579,0.8709345307485923,0.9228923194111707,0.8255045901873997,0.7827022263140351,0.7158172203879619,0.7108788470772673,0.7352362280552238,0.6616312953164555,0.6690560370141949,0.6549354324170208,0.6812830705918627,0.5862310363489257,0.6033575304827838,0.7555023412774826,0.7303240797069138,0.671034725489465,0.7250799937620337,0.9719814161503747,0.8773924807707774,0.8662443962410633,0.928471791770192,1.1534612246279434,1.15008695453499,0.9201221034846323,0.81498187620059,0.7663224736807761,0.9827096108337919,0.8276406336567385,0.8213130843267233,0.8360789686814721,0.6280781125894395,0.5380715064532845,0.39865271826580023,0.40825961503066244,0.4433594784453245,0.4813362122725724,0.6784979049032703,1.5413036711532402,0.4822122537068296,0.6428939675777542,0.7776647961423241,0.7093200524595256,0.657167402791584,0.9620446330669729,1.6909804621184217,2.9785566928466825,4.395800266618955,5.020304717183564],[0.5453727636848791,0.39783999544755966,0.6295805573267438,0.4516703080869401,0.48348407952407346,0.4885773400272282,0.31527290592190244,0.4763112540195078,0.3172674258611284,0.3307598827834877,0.43569934602591603,0.5568735609090553,0.4829337476309855,0.40318061628567514,0.6327702642416237,0.5718640941884685,0.531399485642254,0.5759018842263132,0.5782936378811334,0.5965932710645687,0.6327657885040608,0.6644752860248488,0.6331614919808727,0.7549672829084654,0.6320721586395148,0.5826035064300552,0.5274722961462376,0.5048711711516034,0.5498583883499074,0.5936100569359652,0.6301668640234215,0.6260288760103909,0.7004051407975311,0.6892609187868728,0.6542658766800168,0.593604067950269,0.598383796807221,0.551871088887881,0.5299640129063786,0.5772198957061441,0.7013101125485456,0.6210906708155637,0.6803340774934762,0.7729906868766017,1.0541893323798044,2.178539167223633,2.022252643475474,1.0528147596211466,2.779622130375203,3.3727805161811455,1.703442803678958,1.513917555632738,1.2872208925409832,1.0796361694616916,1.3628874715073915,0.791378112668988,0.6354675737897026,0.658620417802247,1.0150691373441467,0.743739734454676,0.6958633822752103,0.7688841763023179,0.7692574621881123,0.815280526699157,0.6344490142807331,0.6330113807184635,0.7710602135695359,0.6730594619450448,0.8203853242415426,0.7497790230818993,1.0044276087724917,1.2845825926076035,1.156813246925421,0.8565298534576746,0.7498959844300347,0.9584380875587576,0.6757977711491879,0.7259450906574254,0.6670998239881113,0.6596712215427508,0.6596073885766127,0.6420996910108153,1.2540355471151103,0.8250331499727608,0.5639027692864812,0.5843626512960762,0.5843613296698261,0.698212941187508,0.6082308599625688,0.6910046492281898,0.649523496154885,0.7661638238328069,0.6853475566932404,0.6707449350417172,0.6366031256158905,0.6734618448898287,0.6967382016249967,0.6600817955179807,0.661980363435046,0.8451976035426347,0.6726534412800423,0.8130181427797147,0.6963032745190748,0.707385617738289,0.6857409846075846,0.6087845115150069,0.8224695611465043,0.5229987684238133,0.522029189579982,0.7752599071052306,0.4877421022496338,0.431971698573186,0.3849681080301498,0.42625324590553304,0.42426171773728344,0.4101213945848131,0.5110140782836199,0.4353700217563372,0.5504372763081817,0.612222013627212,0.48871429065299127,0.4356256400609887,0.42029990475978896,0.3890911218447244,0.37964602786676294,0.37681752971548577,0.43348265730497343,0.45957395201247386,0.4285503524050863,0.5241313997704913,0.47987706180163325,0.5395575910779786,0.5055254316899119,0.6263737434093597,0.5540557576339012,0.506318441255877,0.6836351625615571,0.5035422292731543,0.5625625396214512,0.45845584601782563,0.5935368595843263,0.5049548664876197,0.5076355916555452,0.46020787664442725,0.4632983302146062,0.4808146025487769,0.4441949763931005,0.5079405733490243,0.47036942392209685,0.45205151387749415,0.567059795345857,0.6132643832369404,1.083345959256482,1.941895179543616,1.119944614156734,0.8201249177472848,0.6228929033863378,0.6503671665007679,0.563504948093614,0.6430771117882834,0.498919543993993,0.49874310965104146,0.4636789744372805,0.4636119773199083,0.5385562662074703,0.5241178248511603,0.47215208271793974,0.57505489324902,0.6506343876333605,0.6688567110662548,0.507449023467091,0.4637897092808983,0.490979655244052,0.5225510386171264,0.5304169930278367,0.5925475901208279,0.5900474284850825,0.8234057575509366,0.6089285671772796,0.6552458802468781,0.6079643598554089,0.5643568475111362,0.5657460865764199,0.5827342790555465,1.2587223932510554,1.4613626022586637,1.6166155617015645,1.6156495997221543,2.195430698046697,1.050314298816777,1.8196399294834538,2.023972186840329,0.7026121380158402,0.8936632259672531,0.7130950598817316,0.6302316646715197,0.6520772835454289,0.5245596827006263,0.4988089083078659,0.5376877115525178,0.5572026657831656,0.599232896838876,0.525632795434303,0.5691035978391288,0.6363078493866474,0.6311050150330342,0.6806911633262893,0.6913887054804354,0.7536827793095069,0.7695357610726147,0.8349199941074861,0.8759489675087849,0.9199933812171478,1.1582529726043291,0.99844385081548,0.9470916649974063,1.1111893106980706,0.9047329540894788,0.7968427176638353,0.8287414020187028,0.7761461568479062,1.5102844945479301,0.9788851231480893,1.1354305313340896,0.9470026319779832,0.8756723857824709,0.8617461898153421,0.9229464617862533,0.7749297161772382,0.6496266320697706,0.8909189116923348,0.771684634852897,0.7740357918705296,0.6438382689199628,1.0264315836660685,0.6930343471085942,0.8067434087184151,0.898199848085713,0.5834468639988305,0.6592209708285356,0.7322639351550082,0.8444327024445025,1.014589875258093,1.1778122973801746,1.1611572094173002,0.9566502142805647,0.8710324944151926,1.0354256271976137,0.9273096574380967,0.7624346041171667,0.9201798473203894,0.952998934592786,0.8180143364524312,0.8769651257777132,1.0279595519553588,0.9827249054951023,0.9297116258247129,0.9484726592963928,0.8709603133060011,0.8266714451982301,0.7653645345978376,0.7600250938960114,0.7852682066282792,0.7287282806793463,0.726126308410318,0.7219366454969137,0.7480813338499808,0.6584737580401178,0.6672922392584246,0.8007741862293705,0.7909866578366709,0.7253394717227358,0.7836995568216913,1.000894659700686,0.9137238095141048,0.9011145571712139,0.9640389711316182,1.188800468402723,1.1488806410872676,0.9372548935168971,0.8514222726976558,0.8208068248604904,0.9860820454013332,0.8466663964198182,0.8292699933275375,0.8689116695787551,0.6907556178925586,0.6102552105536915,0.47934755172840404,0.4584964384231085,0.533025031302601,0.564402860904847,0.753317564801852,1.5837549116736955,0.5735904176305365,0.7443020212525575,0.875817470570064,0.7312877213063741,0.7743531919580876,1.0993295542105148,1.9381149625780676,3.1959709946139534,4.617796758430474,5.614717417404493],[0.5196226756495685,0.402943178467038,0.5844907325731997,0.45540742298278436,0.45191950271079917,0.45693823662262345,0.2757735341293481,0.3905347989352076,0.26724486507464834,0.2910579482226744,0.39679421825820554,0.5142974220350497,0.43261839871909263,0.36394072563070656,0.5592675404930226,0.4944402298043116,0.49077241388167986,0.5228501135990901,0.532048070426241,0.5363445491113632,0.567676890094517,0.6076024724853258,0.5876875581225984,0.7175502812099724,0.6009131130910085,0.5384066606739746,0.4743066533837917,0.4526874050500797,0.48999872022548824,0.5160075586916119,0.551722276589922,0.5358119183583354,0.6129660516003892,0.5990926313698107,0.567257371545803,0.5127189562970129,0.5201217670204121,0.4879666890382772,0.4674740883192344,0.5214054892322489,0.6731021545105877,0.5637007777979527,0.6078390800597966,0.7595090067354917,1.069013243029866,2.228767642643451,2.1059042271300767,1.0947995590825752,2.8297658043581886,3.438314086426375,1.755431829704176,1.5556196478361433,1.2443040387445876,1.0694927300707318,1.2843944177637134,0.7047168497742639,0.5692568006160705,0.5962669899385963,0.9677017885229424,0.7061921607288806,0.6399287705035199,0.6967805767704285,0.6822946715229591,0.726408936116338,0.5734220311303029,0.5570450113631445,0.7134969571542193,0.6035735159195896,0.7710952539440455,0.7054442875705412,0.968954660142564,1.19262169737575,1.0927229842681256,0.7726281088767595,0.689271798883904,0.8658822300288717,0.5890323107782929,0.6332218833216726,0.5705819269742052,0.5759553556089756,0.5760437643237196,0.5587942579388678,1.20586554855112,0.7113569101554202,0.5372534552352933,0.5131229324038465,0.5050103633314134,0.6203467696294017,0.5233223523759035,0.6122797164246169,0.5632051197405681,0.7027887706535878,0.5994857263497327,0.5726945035381236,0.546081458650312,0.5970669075790971,0.6044465385906815,0.5740508527177111,0.5720129526446267,0.725514467401768,0.5768236996443933,0.7357479393009473,0.5993211203030807,0.6456711794719943,0.6304006380605949,0.56108263523589,0.7387814536436965,0.43892291842525527,0.4473665368452465,0.7262389941130635,0.40254767136041053,0.37963918605317193,0.3179642866007489,0.37661584522492675,0.37118385814668386,0.3683275480120509,0.46715623987071814,0.39971665264319384,0.4968560081143045,0.5672266609635982,0.4410699819978125,0.39531476575725333,0.38712433401897206,0.34406926376355124,0.33833515451263835,0.3400656216537206,0.3892974124549842,0.4069086927377512,0.35946325605905155,0.4448392481648736,0.4030652562327725,0.4450092738399869,0.41343425047203447,0.5474653256010311,0.4925570099710031,0.4515430625322014,0.6637324799179232,0.4777792770433692,0.5443003236439171,0.42618316568435294,0.5804791414442279,0.4809894301753948,0.46401687703754135,0.4107562835622742,0.40816408438190965,0.42588522886382346,0.3868594696999157,0.4401839858072647,0.41013695092013364,0.40382198569498096,0.5240165605378315,0.5974489966767084,0.9678904002625188,1.7644510847175368,1.1114938835681396,0.7343599590507903,0.5551454413332225,0.5996916896692679,0.4938697517832838,0.5731575776129962,0.4417523419389211,0.4359199915188171,0.4092862691527303,0.40747967417117137,0.485406673973848,0.4899063106133964,0.43264021801934777,0.551723497885797,0.6245125856251167,0.6449327708016144,0.46594649786516323,0.42290319347128524,0.43135683806676667,0.46179586775434056,0.4646606877540004,0.5309208121468006,0.5288708741298206,0.7672871646336608,0.5446801532847242,0.5962868768979918,0.5608020343962071,0.5013020140008387,0.4955439690303708,0.5228946645343125,1.259421259352645,1.459990162220459,1.6147517555670647,1.599352100604784,2.1890556663826426,1.0647134724783216,1.8236749458111894,1.982102776971131,0.6502773191498168,0.8345822294401827,0.6450214511911975,0.5659868917660694,0.5885701763358536,0.446693054512907,0.44330958933805575,0.4673268629764176,0.4549217703553364,0.4901593976857908,0.4357658216647634,0.4820351925359786,0.5255581507156392,0.5369582959333015,0.6319910673698056,0.6070529458374785,0.6583446978892706,0.6984608697238699,0.7670414641070059,0.7743807935722282,0.8277725822098634,1.0606360165674504,0.9047703717916636,0.8692234357079772,1.045851722549605,0.8176335179798692,0.7084632861442182,0.7424553163590236,0.6738246162769944,1.387178793460572,0.8871489661304307,1.052252315113486,0.8816615180480275,0.7681584197445498,0.7797084340510209,0.8239480731034569,0.6599581709800167,0.5283020620999965,0.801835988218215,0.6929285180050672,0.7018930865475587,0.541377487347394,0.9581731537962787,0.6054444823708814,0.7240928847233895,0.8679143127781986,0.5040319519089395,0.5775706570057907,0.6553067684025491,0.7625738949010598,0.9456293741096432,1.1031566499694696,1.0835073154792636,0.881829099824322,0.7733498352731946,0.9137018660212711,0.8209943232372898,0.6678314191511254,0.8036437892307128,0.8523361329038238,0.7223713325523456,0.7556062303522112,0.9003699716618813,0.8821201383839085,0.8291650694403565,0.8352080242307828,0.7664595436691032,0.7014332519009195,0.6542724529067343,0.6449251435580274,0.6564222547214383,0.6182808361674986,0.6237261196517971,0.6011580351710102,0.6390859821134105,0.5529797517378551,0.5539836387862846,0.7100979637465326,0.7077106441845034,0.6490171902052327,0.7070180147486579,0.931010129614187,0.8502122191743763,0.8455600513298088,0.9337423068674532,1.2332686600251386,1.0459946525296244,0.8804167568477814,0.7973568807003646,0.7574098671807284,0.9357619221936466,0.8011949923823429,0.7822442409970007,0.8390583525195887,0.6304370901542762,0.5713422289579826,0.42968586761354643,0.4170555067681351,0.4792963397775425,0.46744128633688214,0.6388020156922709,1.5180496888156834,0.4955543955051583,0.6533820675217339,0.7974057644297637,0.6327720990458026,0.7662763189381496,0.9955587351119863,1.9225138449590466,3.320180377630951,4.6050649453907795,5.874303558121873],[0.4874763383639482,0.42180542535157894,0.6182939805688309,0.4701726526839624,0.4583773229600428,0.4491669395261851,0.21747145923301908,0.4372351916035307,0.28077624203241275,0.28064270627320725,0.3624305402806756,0.4923655005512309,0.389303878740643,0.3142229804084757,0.4877509864707969,0.439458269968528,0.4589161162894425,0.45059076416965144,0.46009710328029046,0.46214428521718665,0.47491771038648956,0.5622361256985166,0.5120036397671623,0.6070633454933795,0.5779625687695902,0.4566588045613385,0.3922258741923333,0.38662726012804527,0.43457886869059265,0.4774166016936442,0.5054208722393675,0.5071985432779414,0.5684247266211332,0.5502252583844899,0.5294489106307679,0.46424511569975363,0.49821940303004614,0.44193967098395953,0.4172619250773972,0.512008677150041,0.6989262175278631,0.4986848310871256,0.5638360291521134,0.7789913936888291,1.1290528372059765,2.2835898860500676,2.225698495259989,1.2123287775071008,2.8595687858053727,3.616146040329526,1.8276192210507116,1.6766790196159573,1.279439380214441,1.019026329017302,1.2525103139811624,0.6936768743656735,0.5326508911743653,0.5170151144197727,0.9215184770244417,0.6617199971258241,0.6008895069403569,0.64640755862169,0.6264222262842953,0.6456402290861178,0.49895238985019813,0.4985978474963796,0.6326204552816106,0.5483395574884745,0.6985485354207291,0.6890201493671414,0.9556011776220242,1.1402654354602348,1.0574509668971637,0.6803692192490108,0.6530633456435909,0.7591313976358228,0.5229670925573513,0.5510793441565421,0.5207944737522822,0.544400624179669,0.5528219315712405,0.5380597569248541,1.1494329435066413,0.6824010660611105,0.5300432032683737,0.5000299396243306,0.4472592071259375,0.6177038293852942,0.4781727161991472,0.5637081112343709,0.5038449701353971,0.6311205545528356,0.5390648787523824,0.5116552769881971,0.48099428333728245,0.541800849620321,0.5339343282745921,0.530533593355878,0.5381974500698636,0.6980606294244619,0.5814164941897098,0.7751462090993224,0.5834642531917351,0.6868880761712448,0.6762463238281916,0.5962889364287532,0.7801637609382721,0.4713746118972521,0.48376792734916013,0.7488276408231943,0.43532250944300954,0.373582439257326,0.3276057320107465,0.3524413899385975,0.3101475687752966,0.29540070328203505,0.45082296205879835,0.323048459741032,0.40400280720957327,0.5198652874183767,0.3714873455639596,0.346363027790637,0.3000774204658857,0.2523756282139601,0.2683418589816438,0.34561004278965096,0.36516642416259687,0.4023995239204041,0.37208889347828394,0.4326389936421918,0.3934337895350294,0.4512126484609075,0.4144756150396439,0.5462790014022832,0.516201063660952,0.4648284301438782,0.6922011668851664,0.46859417671020726,0.5345599205698294,0.3927807171082203,0.5041819496701408,0.4123071409468555,0.3869934669579076,0.3435734417385873,0.3688158981032507,0.38291991661803826,0.33814395791954766,0.3950891116257004,0.388445769646885,0.4179016741606241,0.5292397001330362,0.5674501389281849,0.8934494380655003,1.29685525529767,0.9051121587516309,0.6458508193904862,0.5182769261102207,0.5728659899800713,0.47164927043385474,0.5495104251670548,0.41892287293068703,0.4348682367516447,0.4000198574467722,0.3827699420134509,0.49164208399579945,0.5152076337690691,0.450456591420079,0.5702033707302291,0.6600590807524279,0.664864242387473,0.4910299709296819,0.4080929011480551,0.4342155967661319,0.46430501289052367,0.45898246028729106,0.5551158185600563,0.5403104280450383,0.8697688740688354,0.5523399549732171,0.6587007882163104,0.5528494737544679,0.49398859382093363,0.5193604704810695,0.5259906623585981,1.3259625216083595,1.389554777290284,1.590600365884643,1.5405268300117239,2.175287825541394,1.057835769295576,1.836121823420637,2.040937119435826,0.657370403468267,0.8115679534306802,0.6250476973847889,0.549744067840329,0.589234794628667,0.43119190214354336,0.42908666306653676,0.4500361611708953,0.4342146010404893,0.471477563511108,0.4207423788528765,0.47002773323584746,0.5053410451263944,0.5177846007614378,0.6354001616270994,0.5999193456826292,0.6397781721186058,0.7016092872096954,0.7685662549273486,0.7716897898955157,0.8290432789641257,1.0778163712468745,0.9002031927449737,0.8798462211496615,1.0329054721753146,0.8278909745239902,0.7096062509349211,0.7365953011597078,0.6604799130844008,1.3761594626573599,0.8762197241426599,1.0283175104319464,0.8651803049587655,0.7412235783575447,0.7581833518803291,0.8022177047758436,0.6430235249092571,0.5088838792183256,0.8006035625578884,0.6732718002375934,0.6928367839591302,0.538802073232876,0.9744151924710687,0.6049100387515118,0.7209088807496683,0.8484440700915747,0.49447746171584167,0.5641045005130166,0.637625950877958,0.7445539214115846,0.9316672592258584,1.091379152372572,1.0643537574680286,0.8797094051668124,0.7413210620848827,0.8790885367426876,0.8120022363672186,0.6381376516663356,0.7522505644757211,0.8025607585509569,0.6891863885637398,0.7092671148345937,0.8360524547704427,0.8426900092865552,0.7983512215567653,0.7906691175707159,0.7379530815649352,0.6692346475007616,0.6233914331525138,0.6159640316799913,0.6352290946590164,0.6070338881696711,0.6109735896446925,0.5871281333341404,0.6300660199961917,0.5456877260916719,0.548365988972499,0.707905822972034,0.711249692409873,0.647030957719569,0.7064007797990792,0.9165034986985952,0.8402985958850954,0.8426453024910642,0.9197989419821344,1.2208286101084336,1.0493034178938938,0.891253145978131,0.8093073735199953,0.78265903401433,0.9581064141906098,0.8133413115320849,0.7839051312014057,0.8270886334744832,0.6351915716223199,0.571554721648745,0.4155954794145401,0.4146855604958389,0.47315768335389474,0.4500025052026014,0.6077865371562707,1.462116075375541,0.4743043640488339,0.6308776499670006,0.7470223386745158,0.6649550327417427,0.7990271224807495,0.9840129345733908,1.8747890446246087,3.270770506331496,4.313138204203637,5.561621266318476],[0.4555453199666076,0.3881529216311768,0.5126554245888316,0.4160077982428655,0.3527372037728125,0.3201952360674008,0.14551083099144818,0.316350797160477,0.22825204272105604,0.2581103362689891,0.27776478439386304,0.38605658531543796,0.30659925850380476,0.2686703454850079,0.367122369654787,0.3183694385857192,0.4072562381895864,0.345492603924939,0.39899567534578045,0.3819120315474095,0.40000278259751065,0.4939994886653675,0.5039053866522277,0.6041849692944703,0.5597352129718206,0.4099477266743683,0.339097820885257,0.311542046749731,0.34135694830978136,0.358622711588927,0.38401114239797696,0.3648238898101045,0.42218897820366047,0.4016525518098178,0.3871431457545687,0.3445496401803613,0.3785992572745218,0.34430834174970454,0.3289066953346675,0.41571828325459204,0.6485651193524904,0.4494940445969474,0.46648740139889566,0.8117008338181555,1.2013015922605201,2.378082693071394,2.3980116007438155,1.3479975127023711,2.9401714312307785,3.7174818601120174,1.9089790237155777,1.7078040997651467,1.2075136922863907,0.9649237787234758,1.1390445378607963,0.5924374185766016,0.49727197819537605,0.4812775664214225,0.904986554715341,0.6721725145247742,0.5324248756203578,0.5591518552949274,0.5113753534574412,0.5272817103802583,0.4087581372222962,0.4164797770313854,0.5595451886213315,0.4223553368919093,0.6496837848012504,0.6469559634944199,0.9311292634852553,1.0996268732313315,0.9901229782447907,0.5998472511838999,0.5696421750483008,0.6776333032060711,0.3975850050301383,0.42561984995234386,0.3996739766148537,0.42525052078580045,0.4301032294798532,0.4049526060277616,1.0408012529074508,0.5055081997517396,0.5131019712908991,0.3710183844256572,0.33352255890693533,0.5017079141995521,0.3682864113630812,0.46451003415883907,0.3958110742379763,0.5745953212053119,0.4310502186835104,0.36649702605801554,0.3549517902116336,0.4253860068785295,0.43712423985850796,0.40572887414305114,0.4034723351883345,0.552813101937644,0.42576958022149164,0.6389079329174064,0.4114723252325563,0.5266255543060262,0.5250205633483593,0.48212297141770105,0.6690122465071421,0.3547813622721093,0.36786516900181165,0.691042432827376,0.3187852394457552,0.2764166101563632,0.21946185716414995,0.29106108669560044,0.25220519421728965,0.2763220655237388,0.40330212804582427,0.31621279176111317,0.3756373785685445,0.46716925740276916,0.3282622213833157,0.30827925719135596,0.2840437850092911,0.239199357664919,0.24667703756436282,0.3027519314900467,0.2713755515857568,0.29908067197333227,0.2574662408780933,0.33054523416359544,0.30213802188440014,0.35722979531202187,0.32300858281088934,0.43735021414001835,0.4393879587058849,0.4034127401303828,0.6490758407348309,0.42398050973360146,0.49970418193678945,0.3580023305165471,0.5139757429769483,0.42781177591113323,0.3676138706350083,0.31065029245410586,0.3413655849574221,0.32467046891132967,0.2791438892909866,0.3114734237437216,0.2783950961821474,0.3317869295167359,0.42643581025309163,0.44196391905505855,0.7097345401873921,1.1922034575645968,0.8574870377213145,0.4731438848656792,0.3507211924217616,0.4325586655249318,0.3338596364935341,0.41338420773370377,0.3151942271856486,0.33783664325121204,0.3140015752175158,0.2855648042405591,0.4141271808820872,0.476682897283299,0.4065859532966078,0.5829244009006235,0.6686877233237472,0.6752213399924925,0.45360956041939576,0.3552712458143357,0.35031217868739584,0.3658107313934484,0.32567482510071205,0.41494899461539886,0.40081977531759605,0.7163869515717181,0.40628417959030066,0.5058817460921503,0.46423961006684955,0.3710603182097292,0.3776711632735026,0.4140583997686213,1.4300685198044694,1.4486609455149269,1.6424351365002954,1.5777218219486355,2.1777622061614066,1.0650292989615493,1.7641480137888783,1.893791209594906,0.6178853276508011,0.7815538239893145,0.6163037103130663,0.4804958795157107,0.5136688873761247,0.3639679461876047,0.3580165576693514,0.38621053802618205,0.339898756274332,0.38114942146918807,0.33036963218511833,0.3765865972247719,0.4164095540939921,0.44368377989662433,0.5250110118511667,0.49854283720940745,0.5454829451710196,0.5972130792949917,0.6450851192749487,0.6481719092283827,0.7153777858580337,0.900753451018095,0.7693995075727529,0.7635386569156357,0.9332899179722766,0.7154221191747393,0.5901858960782096,0.616179799264358,0.5719661964250291,1.273628692685246,0.796749518079953,0.9296041904148314,0.8518600118345394,0.6785517941985668,0.7031569217347853,0.7078162607660166,0.588314194124832,0.4221044564344294,0.7003659796603591,0.6036063136497909,0.6403194050977986,0.450353316634893,0.8850853806235441,0.5681971980105665,0.676229374444251,0.8590411335110913,0.4117071878283724,0.4828018597136403,0.5796269656721245,0.6781703190551839,0.8758380816687763,0.9917136643074537,0.9891059504705663,0.8064410860030877,0.6696852851787164,0.812564628180879,0.7390628066011319,0.5609478239922464,0.6686006182588847,0.7380848636978018,0.5993373549845533,0.6241178605429079,0.7614780805661354,0.7950009668383826,0.6960247478686925,0.6860900250335723,0.629740671768491,0.5724149760924652,0.5496349809475569,0.5460349912854865,0.5419374598515189,0.5137712212116005,0.527889620453368,0.5024392431278236,0.5461897151361167,0.46111677800359835,0.47099151085787344,0.6519284293190767,0.6381083802678311,0.5863089324757834,0.6140328140174944,0.8633865579348529,0.7810187469622376,0.7895021741242398,0.9025959127379175,1.2296394125118706,0.9690646720802752,0.772631262089816,0.700935609772593,0.6513014578394494,0.8716435500033591,0.7174011744095448,0.6979091598995015,0.773085419568499,0.540812297568784,0.4669073805065663,0.3313052063521603,0.3373500091441257,0.34737613020981983,0.3509517747638809,0.5039443429334127,1.404162292956991,0.3929697379685843,0.5375203937089836,0.6960513696888175,0.6383411662749019,0.6690348267079883,0.8407402963245704,1.58694052116432,3.0414948816764436,3.916219900766988,5.073724774241871],[0.44021628688511816,0.38035920585117367,0.49272605461956415,0.3566702610450347,0.30897440219840977,0.27116783794143445,0.13483067933867807,0.23666547534348673,0.2777762557705207,0.23639286309889812,0.24866614420784208,0.34636298904014423,0.2880178205268364,0.27096815309052225,0.31422699056288916,0.30715403404113495,0.393646898815894,0.3278016950468656,0.38922278683536465,0.37198721091231707,0.37261164086941445,0.4981076004197322,0.5388633974967264,0.6212502583968091,0.593862608752628,0.4261479121462088,0.35265844335794805,0.3230399303568778,0.3273299369445125,0.3226201534552475,0.34512155344278717,0.34195468827838765,0.36412217223805415,0.3504106659598733,0.3465142251821363,0.313074355743282,0.35402735970425464,0.33182170989964177,0.31393737254827364,0.39806457195048234,0.6439529001738261,0.4688564729024869,0.4716301715877317,0.908744956486484,1.290784045673674,2.4618676587858435,2.555529170068693,1.5036187669537269,3.012150723443109,3.7913595223702736,2.0021246258886474,1.7633341496784236,1.195379392693159,0.9700199572967855,1.0811296588750838,0.5857316921442138,0.5244828669234388,0.5537518177515695,0.9191373078929639,0.7127096115536116,0.5337825865592951,0.5624481270771076,0.5015042143319259,0.508983030145844,0.44640843562178734,0.4118228588131118,0.5494923028613097,0.37304626299749866,0.6266661379604384,0.6500151880368819,0.9214708451935395,1.0667594127169062,0.9477245248816049,0.5719758288601596,0.5322485409841473,0.655411672349575,0.3864641693109561,0.38970011373496355,0.38342938997909964,0.40297678676701193,0.3871043620233642,0.4038195026201634,0.9596992843336901,0.4386879242689662,0.5996778162132377,0.3559941343188995,0.33769422513168945,0.4714858502071723,0.3434451081551041,0.4497581715914622,0.36312711489089555,0.5692033675680053,0.41238341531293127,0.33762683712361613,0.3356346313548049,0.39642596993287327,0.43917228647595963,0.353118317759958,0.33986059660432644,0.47560307081597514,0.3406053765784456,0.5608183101054954,0.35182317346810527,0.4499015148358298,0.4832647945389735,0.4653872585278738,0.5987779600286219,0.36586490159107254,0.3512030904029504,0.6696137876181838,0.2967130078228843,0.25990770101978433,0.20175295541628552,0.3082761731951406,0.26056988731926645,0.28607231124983723,0.4120046761965371,0.3419189101790565,0.38512664988857415,0.4324950417916252,0.3253573503162117,0.3037745541548122,0.2851240101617529,0.22912792175230748,0.24231681184989232,0.3036794365960893,0.25984379997910895,0.289593312090156,0.2529978164500597,0.3338505112153088,0.2903811469266404,0.33411834517087236,0.3304988954436119,0.42545059144482933,0.4420857832073007,0.42674094239703597,0.6550891206454242,0.4275647623205986,0.4862127088621254,0.36353881701392526,0.5458750979508248,0.47050663322013825,0.4009801221553817,0.32220314814775325,0.35297361382892695,0.3216019776337933,0.28699923547498096,0.30373135997367806,0.24258003175341655,0.3226469191465763,0.38797700852773637,0.38240812445592304,0.5880759959263547,1.1137206864886389,0.8740405754087737,0.3994672263372803,0.30048504705306983,0.36473208754723857,0.278580314045491,0.3343743604345714,0.321196047431641,0.3144336853462721,0.3203201915219303,0.30312269232249034,0.40758085481707945,0.4881046209672746,0.44086693802189675,0.6347300888351778,0.7068853384948408,0.7092668790112618,0.47773382612357773,0.368984687351523,0.34542824611785894,0.3615849411135149,0.2968492777243694,0.3533817947455581,0.35987047980932846,0.580591678313936,0.35845156673679174,0.42533490691663983,0.4813923544596812,0.3413195413303518,0.3686229708739548,0.4510607035672916,1.5391034113565796,1.540268100789666,1.7181214078608038,1.6539310593054022,2.201277719453402,1.1102428682347136,1.7165630079175478,1.7554499892195612,0.6949525505349744,0.8168275536650155,0.6269229065783926,0.4833109613723026,0.4815948809156271,0.3423947326091766,0.32315101831297,0.38023026469304394,0.26438890552836464,0.32039948272864577,0.2728865917116699,0.29902006413309656,0.340794062992068,0.3975469198327771,0.4531765856375241,0.431910908742147,0.4881691814948307,0.5559913844272181,0.6015616566539335,0.6003170826931067,0.6687467493316981,0.8260748262543028,0.7384182837112649,0.7260859508555335,0.8979663940399053,0.6453407749324884,0.5070034730095943,0.5552092196402566,0.5036655115698906,1.1605251462136867,0.7532864135788793,0.858353831352222,0.822573193368174,0.6063956008740494,0.6355652867136118,0.6354172337308065,0.5241349753190295,0.36205840042139886,0.6227735039365966,0.5834489263661696,0.5989033851435954,0.3996183614318045,0.8771188729917212,0.5508387567200753,0.6234001117208056,0.8738692454983065,0.36777895004171174,0.46416689065962313,0.5473140809006954,0.6194668577543241,0.8170763563491119,0.9204898306554711,0.9310299995922947,0.7361649428519657,0.6112864906605641,0.7408742727547047,0.6616404044115508,0.4796904842067461,0.5769103267989231,0.6546547947949037,0.5254053411682084,0.5409736044803697,0.6715445286813799,0.7644518777147159,0.6368585752609739,0.6100909353668459,0.5640566430537394,0.490362894349096,0.4695661178410767,0.47591711257638686,0.459306124045262,0.43691839939976423,0.4537244146871414,0.41698175268599197,0.46283596903325563,0.38818539574793587,0.40577495751848075,0.5984309264861133,0.5577086267412678,0.5180945489368035,0.5451280181912953,0.8077492012205203,0.7216200989228284,0.7155363828071097,0.9075563794900334,1.2323614629535602,0.8443289843365379,0.6737655153606958,0.6301588143009957,0.5737005000256069,0.7806730861561533,0.602278018248936,0.599311661252509,0.697222030066426,0.4623932865018337,0.38124945281602934,0.2826310486301313,0.30514373149108664,0.277157353811616,0.32832769161980185,0.4372160550120524,1.296987530597062,0.4164586435510688,0.46763509031837597,0.6397190648627809,0.7020115187205009,0.5905499371656748,0.7809488571621921,1.4061490791641342,2.880346836382134,3.664461312539666,4.867595122241489],[0.43903570180807366,0.3757086842729395,0.41006731334737667,0.3342992295178158,0.3436834429483373,0.23713868372599697,0.22329320230074884,0.25324813766812704,0.30096030935337925,0.26394741756509627,0.28051940943111064,0.37060006604003326,0.307971977800882,0.28522358713436363,0.32456211378325667,0.31457571989610256,0.39664928006706923,0.32312566438685913,0.3760563263089029,0.3738260304249622,0.38970534542962393,0.5401033342402166,0.569471663137193,0.6492755519499249,0.6540545233272279,0.4684424747893994,0.3648732442914853,0.3384195556306019,0.3351964947642192,0.33006586415020406,0.3497351886122958,0.3582310252140154,0.3786850312481688,0.362734433924639,0.35740610823708047,0.3201704427342068,0.37616229851328287,0.36492629202952487,0.3523971800228912,0.4299705790853365,0.666699479628141,0.49490140166766783,0.5341536050491398,1.0096916808571144,1.41764677408278,2.548382293970156,2.7762974218002143,1.6969110567667782,3.0263444166776265,3.8993831141601016,2.0823114301474006,1.8640624368374306,1.2242638821656093,0.9507554430993089,1.0843346638148836,0.6360959382347319,0.5953226346986297,0.6245683199753141,0.9555556013820026,0.766664638163122,0.5559266441375145,0.5661826730248892,0.48429108239133317,0.5108361175600394,0.48511800705425095,0.4238784880921675,0.5588535212298291,0.3540840102673705,0.6176574457674927,0.6716238274502654,0.9166758967006134,1.0869831566752137,0.947605116068109,0.5855717446823054,0.5487559473484415,0.6529710735701713,0.3772396043268712,0.3825686933096707,0.37212860407563547,0.40276549332745365,0.41353387958134435,0.4476354640601863,0.884468849022325,0.46410540868461136,0.6475807583110686,0.3992993025120541,0.38312457949042567,0.5068166588482342,0.33969348914412517,0.4537250859395387,0.34681661634752403,0.5812326181703015,0.41787333714688074,0.3483853278322775,0.3440467823694434,0.4193322580164405,0.4521377895257092,0.36573843889992935,0.355542551426736,0.5188348059666165,0.3524937219949144,0.5823074198550882,0.38287328512914737,0.47755020985576974,0.5002920223428433,0.49507905913262695,0.6471527602984769,0.45618680037187914,0.44857184654183757,0.7002889183750982,0.3964954654573752,0.31698164522394784,0.25570206539292273,0.32070606234401083,0.29592084223432685,0.31281601416391164,0.41747594313420044,0.37125379531712677,0.4110847248394894,0.43229351406748967,0.33227357086550435,0.3226778651608627,0.3247664477634097,0.26690007057075144,0.26637002369141877,0.36504209771468443,0.35750716924672826,0.35530128524881366,0.36074049810015785,0.40264396579436623,0.3924463527954223,0.41693915342473653,0.4291330020674457,0.47282742256919935,0.5261980999236969,0.5127454972274424,0.7140452406890674,0.4970795819951615,0.49217989617667396,0.4057306887458389,0.5756814048755817,0.5339366465636548,0.43122663325770866,0.36241220893129017,0.41067004508245986,0.3512863467171152,0.3313728618890231,0.33164967573971854,0.26792298515109203,0.3182251808647896,0.39229444859168844,0.3637806237300875,0.6230463531218102,1.0981795652164632,0.8366856237217943,0.4110278421803302,0.3062433681412043,0.36426760961515414,0.3020461960610166,0.34165593189199606,0.35329928910994945,0.33941434203209436,0.3766743261474532,0.35881659359671897,0.47926204495495256,0.5848989645999787,0.5378591665390251,0.7795609557209559,0.8537987318568039,0.8195141152010664,0.5754563272847776,0.4458261191831277,0.41425917956837166,0.39831399521833183,0.3203430170324514,0.34582154823861017,0.37082940412006943,0.5843672994678829,0.3493847293409769,0.43132768611988903,0.5002325293975369,0.36574393645120756,0.4191478290007573,0.5151482741783607,1.7716536250055268,1.5692599172365143,1.7639486673050593,1.6827014622018805,2.1728970518553887,1.0959940123053442,1.5825708542823191,1.6492131303211903,0.8666874871539565,0.9265396162572799,0.7324626619666097,0.5705228766476009,0.5286070835623466,0.43038899834052546,0.40894733438665204,0.4424526235007841,0.31521776327556794,0.3439733041619894,0.32752772983105,0.3195392873882321,0.36066751916289036,0.40704184392847137,0.4282926360559,0.4138799159204755,0.4965581887271057,0.5310063813492738,0.584697051493204,0.614373650072357,0.6845524923173031,0.7921482965384249,0.7615063465290917,0.7284411709304466,0.9207901359222846,0.6495827417028553,0.5179309015194872,0.5761969486031979,0.5320517708573348,1.1331840107758104,0.7831864345427779,0.8749421109577068,0.8265565817429661,0.5976776057053683,0.6256622475488716,0.5896879425415336,0.5731320033943853,0.39247101155629943,0.6204118161137285,0.5629639097026987,0.6614850057478087,0.4574205139804923,0.836785530225568,0.7055778653534701,0.7139913025537759,0.939216176414759,0.43846013565990755,0.5013742837117615,0.5251327946394023,0.5927879442559878,0.796214077278231,0.9167993945311012,0.9012421732175278,0.7489820805375605,0.6176824548164863,0.7330509793232355,0.7052642000388316,0.5094154751811301,0.6261120021432838,0.7243856252452621,0.5697479719266458,0.5957968045503886,0.7473523698358263,0.8546259437808353,0.6549740625851929,0.6506488592804682,0.594225459663995,0.517951558595784,0.479891944118123,0.4797642868809384,0.47305100189375066,0.4490933822455082,0.45975918911643093,0.43706046945417554,0.48840978377535693,0.4162970868146294,0.4415655470034815,0.651015398383273,0.5777688716528808,0.592951982154281,0.5904504546303679,0.921827638150417,0.7982364261768602,0.7564352200540349,0.913006040582394,1.1990177607016328,0.9166306010373775,0.7062091571652862,0.6323729909504021,0.5455484159032835,0.7824261234929707,0.6662912511674846,0.7181268895993154,0.7810368556105113,0.5541747878730395,0.43873218853686574,0.3613643155624915,0.37735957427020594,0.3079007965266984,0.38802165560656343,0.4416111002989099,1.1641413670903746,0.47708975928128877,0.4306679994618082,0.5640669671085856,0.7287608585351469,0.51106423476291,0.7800138270459661,1.0086207617294325,2.391382580940291,2.9185800900182772,3.532115813585751],[0.44134276465228084,0.49489317304074953,0.5441122436491737,0.41595616316433587,0.4439878581691862,0.3128692552733717,0.2703481406278135,0.32975576160196335,0.43542299399121354,0.4540022404920491,0.47366135144836913,0.5018748100903258,0.45406826882783763,0.4769109900146264,0.48888171849098994,0.4654172080667198,0.46730027314838424,0.4701025922149996,0.5510528391140964,0.5134369480452934,0.5268683306524773,0.6209454143096236,0.7510692102912006,0.7856637289417611,0.7622609450295617,0.6029883286595711,0.5173170778223873,0.475206358931005,0.4740032335772851,0.4190625945351245,0.47275493373287014,0.45604874555421154,0.48765886835894234,0.4769971147756996,0.4422364191718784,0.43083685964907176,0.4507505702418344,0.47184713102273235,0.44908009584973657,0.5834142570344447,0.78882961998474,0.6084767090720395,0.7019491123006869,1.2071056130492073,1.675686599998268,2.76869035304529,3.138869722513437,2.038280008172351,3.1691342639869022,4.0422143145725355,2.3501552707915416,2.0124447038503845,1.4062107608562895,1.022564378873183,1.1256337334634159,0.7930732406347221,0.7744652300676425,0.8661270093057949,1.091241290946944,0.9586402246525463,0.6501012176950469,0.6637267194851489,0.5561750665836938,0.6052004411079213,0.5538499192069549,0.5484559366923821,0.7074955302915376,0.5221102624093885,0.7502545276833125,0.8155897033034496,1.0651173313046347,1.2260111876525623,1.017190310132802,0.7696515483272346,0.6686280619182025,0.7140904126251701,0.5145857646788372,0.4970735779916063,0.4781750262066288,0.49147699370239456,0.5025912779455556,0.5325577474195763,0.9425334870915889,0.6171777205808099,0.84039029865344,0.4673632246295496,0.481434988207636,0.5504279376359995,0.4631106386597275,0.5568748875540386,0.5209642961974357,0.7194960828700597,0.5699773466407863,0.5075909511993686,0.5026380628271572,0.593688439300364,0.6189874700967833,0.5166847767535044,0.4878888367968518,0.5675319235323827,0.4803667406653896,0.616113946064206,0.4276441073264089,0.4890230166575263,0.4550575334108743,0.5069101025382647,0.6002970099353621,0.5302231381567805,0.5097067429201471,0.6842626195084343,0.42540765163459837,0.35143274865886753,0.3163756170429669,0.3409613715163783,0.3868689344637094,0.41485907052351484,0.5472665649653966,0.48163720556970196,0.5742221702200828,0.5173773522876377,0.5324251321125156,0.4968399233208888,0.46316372674814094,0.39457155247654757,0.3868779240197212,0.39811111321929077,0.3747680000160522,0.38072902102852496,0.41519067878895116,0.4503423945084135,0.4953432109827381,0.4963802762665619,0.5158882859299858,0.5019646196969808,0.5660395049582373,0.5431947797991149,0.7724408461596023,0.49578451474249713,0.40243436410340033,0.37814160443904093,0.5609784988824977,0.5576389858200779,0.4643814964144219,0.4046834489355523,0.5258361382446883,0.4450628650660328,0.4191945967362076,0.41107883893493424,0.3407017508528241,0.40817334520765824,0.4352238183586748,0.4475690357975168,0.6317164400807648,1.0991611754392734,0.9091136655712786,0.4524561158254285,0.3998733781316882,0.4218700288369136,0.3996602028478058,0.3963626505084674,0.36536675745281944,0.42816481619148894,0.3918549325707099,0.40040960761421635,0.4746533524600499,0.6498485367708153,0.5774926234984742,0.8588134676940835,0.9417955155742465,0.8544725900455225,0.611888390449972,0.4455633608385609,0.4286454938061032,0.40819596401809594,0.3666725665060299,0.40778769680362764,0.47336076169266406,0.5982747153747111,0.42905269593899725,0.4570819584975603,0.5390705238120439,0.36518605539561166,0.4753053277694969,0.645499044695165,1.885807891827536,1.6751136756362146,1.819663608315457,1.8067236032432823,2.2128329364984074,1.2728197451006178,1.5430629892989682,1.3361973777356855,1.12910653075893,1.075110535760466,0.9033111073117975,0.732300411952263,0.6667340516282683,0.5819892128011331,0.5522682457440574,0.5613229815336351,0.4762666838962364,0.46111133878196936,0.4505198313242578,0.499510028853392,0.4996894456953949,0.5303950875486136,0.5768635534305299,0.5749047683184276,0.5977289976256126,0.6795668474564501,0.7481850463181956,0.7635237483716906,0.8101205118890886,0.8999871968338637,0.9330258844771978,0.9362583686885751,1.0162060574560687,0.8259694358568642,0.6855080880829499,0.7218965874021203,0.6995617481390862,1.210692265520112,0.9065245642487905,0.8225280011107683,0.9051049068333479,0.6958772799797536,0.7247359472941776,0.688780141576252,0.720705197934169,0.5841211266131703,0.6391912624900435,0.6773916028915415,0.736821624913302,0.5744598047817387,1.0044654817223904,0.9086970430695032,0.8537159263637488,1.098536252436709,0.5845566187311907,0.6323826802607111,0.6286953859762625,0.6613502529913198,0.8406583622443218,0.9034978297731845,0.9330324945232918,0.7824717465414127,0.675498003690255,0.7286896330032394,0.7041631872155526,0.5544842981389395,0.6265889385993254,0.7075366875528505,0.6126808173148727,0.6451547989491294,0.7421791387664951,0.892359093117657,0.7365724927566433,0.7202891929526546,0.6852136027754903,0.5949056123384523,0.5540715403935619,0.5616420336383992,0.5963390328667981,0.5783809690313215,0.5494651433497012,0.5933022511246797,0.6477728435351173,0.571855472268212,0.6251754885798759,0.8035960271213408,0.7096561045171701,0.7246670277965703,0.7298175896183164,1.043553313155039,0.914731517817204,0.8962937525695174,1.1779654410262974,1.4481286902014123,1.055730356865777,0.8797018695612597,0.7860825475753987,0.7727548464470632,0.9080633383072423,0.7676035974697764,0.8119915839966808,0.8330798101504568,0.6832558971458734,0.5378003271310133,0.48116006464788763,0.4706978805549442,0.43004617424738045,0.4571260214706032,0.4858594404426611,1.0132233036223963,0.5499211297014119,0.5079661411152253,0.5791654594982594,0.7647482767915212,0.5375841684030715,0.8479166213315066,0.9648588925041968,2.303317537583601,2.7843052311103453,3.6061267651112376],[0.48464807779455277,0.4792084492749153,0.45199148906020065,0.34307171333802766,0.4226273946241334,0.33466389658236184,0.25897952782770794,0.29454572762243636,0.3479121670984353,0.30271241298079477,0.3305027773304486,0.3896216129388588,0.3138898659165253,0.3258752795718122,0.3565430551118031,0.3359428903372153,0.40236866676610467,0.3602584034618848,0.43304454762183264,0.39567005876729844,0.42138712271921597,0.5695401739051288,0.6530898147466079,0.7339041763804917,0.6735677609379516,0.5008938166000727,0.3862771515557693,0.34551912055260814,0.3454983782668619,0.321568061913563,0.3863695710716862,0.3454207405376964,0.4078913299733619,0.3672196083101885,0.34901781179320396,0.33412458674961076,0.3591464946028922,0.3637333216461817,0.34737292058753994,0.46515414513776193,0.7187221123784812,0.5283684062553018,0.6335033579926356,1.1618714801201782,1.6372389630466488,2.727471440871385,3.1210138959706955,1.9970476417976464,3.1043225805210555,4.008106112610369,2.2934154902584467,1.9978295983971648,1.3310787847018755,0.943869669203954,1.0641212142035745,0.6900289303313181,0.6954432909444231,0.7601838510032997,1.010728373039914,0.8877525037979199,0.6182051540726549,0.5839401761486581,0.4984432279179021,0.5310776301145523,0.5179809812112856,0.4544231155207557,0.6112053267641047,0.4009132340385624,0.6596943614467233,0.7476242290420517,0.996759147527845,1.1963806198929936,0.9784923946854112,0.6923478193961417,0.5676980314512018,0.7236537982337591,0.42835590054910877,0.40606778049110487,0.38700671494697836,0.4217621588318982,0.388978419269078,0.4657477994498503,0.8767628752153568,0.5493766033444136,0.7741381734523447,0.38415853897231117,0.35442675193337625,0.47352453883723056,0.35817777357680064,0.42155219647929726,0.3934338592380073,0.6634184005923534,0.48563598318706963,0.4006573967581902,0.39339450697153994,0.5047466969119012,0.5065892361841935,0.4099062239079452,0.39159110419737614,0.5291094152541209,0.3867785360716146,0.5951782625501774,0.371191080377207,0.46502803366062634,0.47482780117121537,0.49166888302428857,0.6492776844218578,0.5399990013181478,0.5329052818686877,0.7157224336569751,0.4594241503705663,0.35486288881062583,0.27516998738612186,0.30767439753324277,0.28434562748119624,0.3007241932705523,0.39852913113714533,0.3807234332969457,0.49731032836217404,0.4311975612481975,0.38630026628358444,0.3894224059741442,0.3877873857245531,0.2789857689942165,0.262754667410849,0.41629044428400774,0.44438114269288553,0.42241077477621897,0.46175100545484665,0.4785768220690736,0.537620862528375,0.5417460051182015,0.5556780345337409,0.5337382785496848,0.6089675291742804,0.5793732103692847,0.7958195905413653,0.5217206220100701,0.4098389123729822,0.38098105905890906,0.5410714620935972,0.5516971315412589,0.40993431850375245,0.36307485950911084,0.420975020415725,0.3429279602906929,0.3310008992596825,0.3218175695168735,0.27164401305001257,0.3229120196078836,0.41170476589125304,0.39489740637791587,0.6406503507747457,1.1692568867984436,0.8956324606261732,0.4228522431796125,0.3226525565423692,0.36584457012913774,0.29897360751887453,0.36210865990533303,0.368432998333207,0.3421016124324416,0.38791628035565257,0.3803434228947839,0.5293214815266851,0.6830775437194805,0.6172895252411829,0.8891547224475974,0.9822453374994085,0.8701898674857368,0.6406417136772848,0.47803649501250595,0.46812844361030037,0.42904042776092427,0.3458632477498943,0.35328271488528423,0.39978286153408316,0.534116555099552,0.3714714661887376,0.4401063289783749,0.5286988890521264,0.39707943535863716,0.5128691613006493,0.650105939307034,1.9868396301101072,1.7253132186439053,1.9155428457541683,1.8599014059408956,2.2422052103076235,1.2649521602826288,1.5049153619953066,1.3279864027098052,1.162362931001019,1.1056759311652067,0.9324820721134344,0.8000703734721782,0.7135024785336103,0.619955884757101,0.5911421573912283,0.5839609649249203,0.467315283196479,0.452160423706517,0.4587043865147624,0.4576312240146817,0.4543370638019247,0.5010806473374859,0.48374047817557714,0.487644700290471,0.5737730510327109,0.6147559437280341,0.6622335677904965,0.7236128338017578,0.8089721244372711,0.8502865032480625,0.8789622129259196,0.8040362909994078,1.0026862988202503,0.6744783759552794,0.5877051024122562,0.6586356791046117,0.6224615414766022,1.101882464034257,0.841157800937961,0.8781294842095647,0.8641531658724281,0.6645621333417747,0.7083848659566369,0.6571728638745938,0.7197459624024044,0.5374979188932826,0.6525436832609864,0.6461294617135669,0.7309334777440485,0.5795511670327667,0.9353950740966337,0.9446974211285133,0.8469267406981105,1.1128459426875823,0.5978824477745145,0.6517825177971648,0.6109146431708309,0.6289367793109916,0.8141631003143898,0.8970050307244688,0.8769169193781589,0.762554747812682,0.6461705971969992,0.7326858256014827,0.7197532508078781,0.564288410032444,0.6810335348881424,0.7900490763242447,0.6555506371559086,0.6946120498579497,0.8372374275617748,0.9899337342767998,0.7476064663585217,0.7465538011061876,0.6847387767195788,0.6010300602547604,0.5459315133740632,0.5542954409310492,0.5598521398430288,0.5278971629741163,0.5057303490319713,0.5177132908092456,0.5587976874418731,0.5021952910643901,0.5430218026823321,0.7255977114322639,0.6070251137040751,0.7205714933573188,0.699355530842397,1.0495240790563087,0.8923330766917371,0.8111880966686863,1.0514842561402893,1.2513906127578394,0.9546131551395661,0.7104218724107867,0.6114643677655445,0.5746617256303959,0.7165072344569262,0.6721295751878155,0.8169180707637742,0.8618873516774117,0.693349593084387,0.550966710762849,0.5209036300835637,0.5107195484203468,0.4446890649130289,0.4707877669043434,0.4914714172729945,1.0712277049123888,0.5612949176553718,0.4923508534956987,0.5940550070698138,0.7609333237029896,0.5356225199188837,0.8235025089691751,0.8216265702279093,2.0109756265479524,2.419136623711731,2.8404131446040055],[0.5588107430016641,0.5584867620381199,0.504324243600028,0.36875066449618055,0.4600554385799628,0.332301399136459,0.24307722680747998,0.2905311928743664,0.3459307908565861,0.27152871164339487,0.29750710475172654,0.36947445844083515,0.28807374710558314,0.28274557482513124,0.31786230159254925,0.30368616478577387,0.35885682452125517,0.32300510445666025,0.43862868298054,0.40151167430056445,0.44965400365078173,0.6312818402215128,0.6552158632590243,0.7734895153335082,0.6480317188709172,0.5186730036401588,0.3996148927721185,0.351036739400281,0.3355794087194922,0.29418700077556303,0.3400467562615517,0.3146688853937779,0.3589475261602613,0.32816508720865156,0.30864863162922146,0.30520556984122876,0.35490411722466303,0.39912052415625376,0.4008918859498038,0.5368034866624104,0.7765835448508341,0.5887891521601839,0.7301356874407607,1.2547010436456973,1.7397985731755106,2.768069067523052,3.246483194892095,2.1206823855422785,3.099687653892964,4.025733388125698,2.377334551196141,2.0928221431041796,1.4291800028577606,0.9705667937177594,1.102773428520244,0.7748626502789104,0.776573748828107,0.82836908509141,1.030890742572066,0.9571593115773094,0.6488290723941795,0.5827665214038786,0.473969828073364,0.5531398485263586,0.5447048854359624,0.4568636420961473,0.6111460329108463,0.38010856946972604,0.6355721379704515,0.7388995498462818,0.9488724207497613,1.1564338495786048,0.9482368540467778,0.6962493073575934,0.5570652909755319,0.7280881681789452,0.40362724943221734,0.37808646161646436,0.3749164505796478,0.4340935204763344,0.41752123269035407,0.5205899254433926,0.8771856431381504,0.6493700286601114,0.8720009211102209,0.436405229334363,0.40056089710763493,0.493739794073048,0.3429863378498606,0.4242508192290512,0.36244126331641724,0.6602004868364433,0.473880603055371,0.37117323612782954,0.3619914181457623,0.48691885343224683,0.497420827544946,0.38707119788994665,0.36662952702629475,0.5358947594569671,0.3715237249180211,0.5897902823058493,0.36401795058262737,0.48000153875546614,0.48534943699915306,0.5239331856614723,0.6707794150640489,0.607537430599489,0.5834483959294803,0.7145616818191894,0.4837151339318726,0.3799624293930138,0.2743349037554142,0.3314821802543291,0.2748589806368133,0.3141275942907892,0.38629215180501825,0.39517936481835575,0.5192908659978784,0.4068202980151111,0.3973428337993116,0.375597651187551,0.4004822800531712,0.2606289014799401,0.24928775787389362,0.44212640416674376,0.4845515677539854,0.4649141860667836,0.5282981447080615,0.5519428164228019,0.6490677839211634,0.6475824052277466,0.6782715841822496,0.6076432869139694,0.7063814229402889,0.6599507495815484,0.8719879157949285,0.6253475177675148,0.4668666288639587,0.434346036930452,0.5609969370488121,0.6182676494520296,0.42358651690885707,0.3863159307748525,0.46522734596524384,0.37016908816239813,0.35761118902711725,0.32587616703015443,0.27637096116895116,0.33117361899507114,0.40410508433762726,0.4073143237321974,0.6598043459644268,1.2093983560489452,0.9291205721600619,0.4346099210803476,0.31766312958152715,0.368730602198381,0.2998984624487175,0.35165654094087645,0.40244648416141166,0.36391306986222244,0.4381532722370641,0.4436578603112003,0.6110107571822555,0.7861201084155734,0.7343137094598812,1.0392349503829048,1.1348625882662329,0.979754594450737,0.749815860724111,0.5709561940735773,0.531495309314957,0.47001481316141674,0.3762151224959807,0.38718005706132547,0.41966021427884587,0.542832690114567,0.40603263481362795,0.47018782071858506,0.5682685921698426,0.43551970154291003,0.5972111324938173,0.7696228186757873,2.1323172239164307,1.804055319616817,1.9756026075961166,1.9494185731758402,2.2716152412974098,1.3241763536046407,1.4313549001017853,1.2032775687321358,1.397865517852923,1.2662245543363795,1.1007592365702685,0.954527133872508,0.8435030501470012,0.7532773923087522,0.7049902499469134,0.6602766454648233,0.532960589769209,0.4739601243333389,0.4862248539194263,0.5128992665852374,0.49110302214205515,0.5138048284892326,0.5130149158366423,0.5256301124677091,0.6024872617162601,0.6518388138151557,0.713598288909017,0.7948636148498183,0.8715405945537807,0.9419513717661095,0.9850380671975513,0.8684269309620969,1.084214611858192,0.7520207769881491,0.6381150193007425,0.7165482892261587,0.691977688827871,1.1377100613710573,0.9018267845268023,0.905012610915304,0.850959639228333,0.662017159872114,0.7510204583884811,0.6937393840813944,0.8111309207805182,0.6172750632778012,0.6703853051742173,0.7345228500961897,0.8036784129660315,0.6800293098475835,1.0460967506329146,1.126558639497667,0.9801837856629647,1.2425802992022452,0.7228712324445842,0.7337706330416905,0.6526429729027061,0.6486512715381348,0.8016116530577724,0.8939181038514155,0.8701056061443728,0.7647222912952383,0.6618250145914987,0.7193751386144022,0.7278509736392401,0.5769909609647341,0.7065669589390031,0.8272358120217946,0.6877172404080019,0.7319359068029925,0.9049270770795671,1.0738389768431318,0.8085808661163161,0.8097510745287058,0.7291088456589297,0.6434195482350225,0.5702589305939575,0.5689136434069015,0.6020846325197416,0.5607669354068178,0.5425275824904997,0.5738080794972403,0.6063601936234808,0.5733972870393186,0.6415288237607397,0.7978912013312871,0.6894704327512788,0.8642845682730844,0.8576326444842526,1.185746129447547,1.0272435980928472,0.9039493191534202,1.1774048522306462,1.3216571555599963,1.0403449677876928,0.7787313666716524,0.6643201442231201,0.6329204399645166,0.7180896275731454,0.7526217883587968,0.941892978351161,0.9561516515756335,0.7967929636986686,0.6234469647003503,0.6087603991836394,0.5624271151081999,0.4747465615450437,0.47780761733418653,0.4898980712667641,0.9826183023465677,0.561035218564463,0.5239222130018528,0.6258607776904713,0.7572610843943824,0.5874733598798246,0.8972048407645732,0.7821172277840062,1.8295820572809283,2.18654077882544,2.4779137771791766],[0.39863323646930043,0.4147395116308465,0.4685134724037539,0.3127901539907915,0.46378405189974536,0.4218632143440519,0.3691583212149223,0.4133995300679854,0.4296548070020377,0.3494135343737574,0.3557792645787725,0.4580267373511342,0.346973041760612,0.34571720123808175,0.3895656810464093,0.36611626302860195,0.4131561324668286,0.3962757909361689,0.4920726504759436,0.4484187724855979,0.5161838843342714,0.6751699851039257,0.6767752648597466,0.8401192083661965,0.6320634132832199,0.5432828065913524,0.4329873810659943,0.37774929655027767,0.38071144737379603,0.3804300093792586,0.41969032993894956,0.38795221685423253,0.4684912399219852,0.44138229479974855,0.39358995259210633,0.3891624922211461,0.40959825605065453,0.4448889365209236,0.42226129499405635,0.5204745116751313,0.7850279551545347,0.6145268050580724,0.7607227917645406,1.287459837840468,1.7846303086812079,2.8255450587173008,3.316758659662697,2.1512608202431776,3.134925086207287,3.9948971177639874,2.398571023755057,2.102138098243356,1.4563655954467734,0.9960548880270758,1.0932467336931757,0.7785335434478255,0.7946833401689135,0.8133727299263065,0.9979777679420894,0.9786347788959965,0.6796258576931733,0.6078941844068163,0.5552919712248036,0.6262791028640755,0.6076189644798088,0.5162443323793787,0.6659384938901435,0.4647665938434404,0.7296993930364933,0.7943237729896128,0.9741102120139835,1.1871122839746329,0.9947584040720635,0.7842021207183671,0.6258020659878706,0.837007141797956,0.5053862872821491,0.47130965267246033,0.44463053360452726,0.48260214210415514,0.4277015212465393,0.5196288751655733,0.9019959629442712,0.6293989444974075,0.8863470610399871,0.4451344313136228,0.42168663178230437,0.4960195462860233,0.40286190844458153,0.4584261033691521,0.4379925035234527,0.6955203550680924,0.5156487234217877,0.4532566187760022,0.43561631035050213,0.565556068677046,0.5532212012820729,0.4821097490753925,0.45025538918961294,0.6046166731078231,0.4308305701619663,0.6469823095168377,0.45353215607098996,0.5564397959373516,0.5432207202599536,0.5686014013000784,0.7176062471919586,0.6374838105592023,0.6259482927762728,0.7562481128772598,0.5585797965427325,0.4404247323081793,0.3798968564236888,0.39804379719368493,0.35294897610212245,0.35603260354963073,0.39150280363380374,0.44729098942196727,0.5997849828876683,0.4513827573333545,0.4500738218061998,0.42117868740164544,0.4543251424190167,0.3361617650997107,0.3494429069833041,0.49255763067226466,0.5258595930895833,0.5110689375962328,0.5636730680898104,0.5883383755309494,0.6616784372887788,0.6592806080874798,0.678866044991723,0.6240723100015504,0.712123504487861,0.6747308631482325,0.8704439161445129,0.6266527112729838,0.4836108748988924,0.4562862304122722,0.6166682022810145,0.6948584947134604,0.4816755978929815,0.4137846817483581,0.4618752952671433,0.39178661818742355,0.37739464249899535,0.3804574141250853,0.35723813902354234,0.41424581176829356,0.5033082481436034,0.5209428280061142,0.7865837204834834,1.364995772473927,1.004176515245862,0.5552692055327101,0.42192852476650256,0.4798470985035004,0.3912250826676829,0.4270067468070793,0.4563493957081631,0.387593854619266,0.4552167318949819,0.45435480165920894,0.6288928527349441,0.7740701299802965,0.7326959621698363,1.0410806435969253,1.1234685570533134,0.9660255324405224,0.7429567805870042,0.5701002651561322,0.5423580241672035,0.49583448072445085,0.40613274157938917,0.4274515698900356,0.4702602198963737,0.5821900727352095,0.4347817491297347,0.49238618503082404,0.5781532436384935,0.48165136752111587,0.6271302103676965,0.7924292359112296,2.1354105265926653,1.86581253565425,2.050786588781974,1.999352160135932,2.3038492116719085,1.3597911398688443,1.434662149885593,1.1710645909450408,1.4148397271758724,1.2712620207723344,1.1149114916598601,0.9733982339246132,0.8444584983485623,0.7718647263684781,0.7410177102265841,0.6945727133100763,0.5894331219349077,0.5377494289065555,0.5525918072712853,0.5816302739469787,0.5692587844805359,0.5823194014497206,0.5943783749510585,0.6044884143457012,0.6811182821286923,0.6868340200648904,0.7427266025301754,0.8520307760075306,0.9235955488772774,0.9557936480801892,1.0291996097476104,0.9014885594722964,1.1476442085367586,0.8480889729741364,0.7345982234193676,0.8211088555213318,0.8057540777621267,1.23784865955241,0.9715989898110196,0.9698945604386834,0.9276613341510909,0.7332345438332808,0.8048004191609696,0.7355136780605597,0.8852061760715256,0.6687110743357789,0.7327239828799228,0.8057168290880237,0.8773959972611818,0.7476634667511184,1.053574925721284,1.1938224227940921,1.0376334357886967,1.256628150166345,0.7744717500839975,0.7522606637901179,0.6838452483717264,0.6860838239852867,0.8216174864555859,0.9608898306690221,0.9118358434693861,0.8064209485218109,0.7178380492717723,0.7863395007824123,0.8148670928038501,0.65800863413529,0.8080462775282774,0.9283822318047638,0.7711090492023063,0.8361771388321582,1.0318652473524002,1.177790751758184,0.903662457318726,0.9258971998993757,0.83226076070162,0.7543152402637066,0.6611015574450106,0.6636285851587838,0.7141283135312682,0.6560894261435019,0.6379708464570039,0.6818608173740801,0.7069477407154547,0.6590158570954534,0.7190736342772793,0.8764769855836139,0.7739240573295167,0.9362265813244766,0.9458617450959311,1.2957840895356467,1.1164968603878564,0.9917477922267126,1.2292261342721895,1.31899813813877,1.178556487831967,0.8595310170128438,0.7340681598272571,0.6783130482694733,0.7590529362012982,0.8464962561108497,1.0395583513384876,1.019462070793489,0.867182269960541,0.6628089760021832,0.6488420105903995,0.6046370320334856,0.5556085486317753,0.576640817235588,0.5966078438659883,1.1452851627711365,0.6600030567611003,0.5706339872039168,0.646288201943495,0.8324912298762466,0.5244928185537853,0.7112341512886963,0.7056690563237958,1.6594847888060713,2.130315249348821,2.2355243563091403],[0.3865542047321805,0.41262379511672653,0.599338112346919,0.39535702551830587,0.5960856147931461,0.5169023819868518,0.45045114155696325,0.497865970172919,0.4654514549652965,0.36904879689463044,0.3705118087377737,0.4842270590853212,0.38107640196690257,0.3227422948497789,0.3658142364377517,0.3632424364413761,0.45428076006603896,0.3925307031963812,0.47424232263011135,0.43802084188425594,0.47490605926044144,0.701837995853368,0.6534480168216615,0.7738946200120352,0.6416479088561569,0.5102364436020196,0.39621083370106536,0.3802248728009664,0.42119525211563014,0.42612302473288366,0.3999985409632396,0.4250261786801401,0.46698665728592537,0.43660048857163314,0.42682174980612164,0.41362190245281705,0.4863677865613526,0.4967975942678872,0.4707943936406639,0.5909481061990766,0.8173489024878913,0.634378959741005,0.8005628449626195,1.309220024486506,1.8410373714038062,2.8307938823246848,3.40468095142479,2.2641693938341834,3.078366887809262,4.095739282044522,2.4516925603659656,2.176158198205402,1.4922522982582183,0.9417575537649151,1.1485960344250434,0.8210964156723263,0.819013532620634,0.899840043400445,1.0906472922012278,0.9933612610461251,0.7123136354565399,0.6297880027500959,0.5237998836207549,0.5894482222555685,0.5926980149189107,0.5064016369857745,0.6159708681304116,0.42313543157925354,0.6564134294343968,0.7743273512203116,0.9732992293460103,1.188456762626648,0.9693930197405384,0.7414196190159448,0.5683126698323965,0.7478509274800178,0.45259824582389463,0.4329077103448205,0.45155956462034824,0.4987464630417089,0.5235188305966078,0.6201764910256407,0.8766395112746631,0.7835122120326801,0.9319867770600719,0.5339121215970224,0.4798044328503551,0.6014246546980426,0.41925067353974016,0.4804432162112296,0.4121733313175461,0.6626963930017332,0.4883035186524085,0.40855719174948396,0.3993061527432981,0.5146559780932509,0.5365813582620608,0.4833121616743553,0.4877831314630661,0.6432508853619672,0.49386957141622795,0.717409572695544,0.5421669121316429,0.6686088801366766,0.673163128615694,0.7092942126529804,0.8572027979834672,0.814184922385778,0.7884478357029429,0.881316917461424,0.7159066532565495,0.5612150815699669,0.47562399908018016,0.504178596716545,0.3980750651839242,0.37087981933244346,0.38664070135721135,0.42648072669992754,0.549016581724592,0.42904314204644745,0.4175292749780283,0.4145934554169024,0.4216279956251935,0.34446038809828355,0.37038787575888643,0.5808342298502401,0.7100233388974824,0.6428215402884266,0.7360521376629866,0.7409523567475991,0.8186504269079741,0.820641249381245,0.8188696429100242,0.7678699708140139,0.8317758678592948,0.7796452381681784,0.9340149333060461,0.6861627508393008,0.4927591207782866,0.48330700982489755,0.5510383235287768,0.6438663352848525,0.4598532173428244,0.43684533267792847,0.5059838880955292,0.4450674987806658,0.4444002738664758,0.460965653525852,0.45787526873827167,0.48469013595929367,0.603594053390727,0.5534058040351477,0.8002617356205677,1.2251678667469605,0.9452661504373068,0.5894083407709388,0.4805990799066749,0.563333951489386,0.467503149814623,0.5294163040816715,0.5572923863665569,0.46256774369207754,0.5339484660593778,0.5475566564690152,0.7020195882606557,0.8567385182978496,0.814172331005349,1.103539268678082,1.1958882357637257,1.0176905753898244,0.8174070521873376,0.6511628392568284,0.6447181310174233,0.5924318787203152,0.5256231268400041,0.542466343210898,0.5465769282963278,0.6504821678485284,0.5393194473168883,0.6240159800323224,0.6661673880690259,0.6203147986786022,0.7506772207746318,0.8958077004478677,2.332556741622419,1.8382022189553895,2.0447147263870398,2.0108201914944765,2.2718696900175663,1.3636497764374556,1.402795274366906,1.1778507134176541,1.5610085959652542,1.3999063322914607,1.242827722691266,1.109748522619232,0.9781787759669319,0.9256491525347046,0.8880208276564552,0.8509267802409761,0.7694587249977448,0.7391184959316032,0.7514069713303008,0.7595281226543414,0.7517511352005646,0.7746932430044877,0.7529135700841668,0.7565304126967468,0.836019869474835,0.8681001262731093,0.8913850683532575,0.9960836281534062,1.0826922644846504,1.155513281666639,1.1475443166101045,1.0017130091818296,1.2086306392625048,0.8801721141959952,0.819482584196545,0.9034966490652171,0.8943891660820825,1.2734495146426692,1.0460515088459508,1.0293381321993498,1.0209548213375748,0.8691641521914985,0.9475539730021336,0.9035721222104468,1.0746364565024364,0.8431498162880281,0.8697298019596492,0.9534590410353967,0.9988922876803129,0.8830158034033221,1.1398170727321237,1.3200413089501253,1.1317975139305976,1.3541226139131297,0.9163082286425287,0.8924648294003086,0.8288299268584912,0.8052792062277027,0.9244845169018151,1.0416804602593783,0.9848403408521168,0.9188910467145595,0.8460604679579701,0.9126202556384997,0.9370792619915139,0.8168212645688013,0.9291786646808695,1.0316770147341108,0.911306774402409,0.9678005888940698,1.1163785248987919,1.2942077090687614,1.0306172598564463,1.026163319869508,0.9524564921075,0.8829265954293383,0.8102299167252094,0.8160148478378731,0.8502932741214666,0.8008382978505331,0.7921747967294346,0.8062741167458294,0.8206505796741826,0.7943526964563542,0.8296113772926497,0.9348792842911821,0.84712069076636,1.041939169417635,1.0286878454885418,1.3390842875014262,1.1619162871733115,1.033850233962741,1.2442609163715388,1.308368218997179,1.1576711699167905,0.8654058084111227,0.7877798887054857,0.8166766527780526,0.7915649481458116,0.9191348498666794,1.1116530366437818,1.105715913077865,0.9819553426268581,0.8158079691367408,0.8223375599731603,0.7706074023904852,0.7760444364533646,0.7535630758579211,0.768835472669439,1.0732760896611415,0.8038622713598766,0.7354404971118524,0.7186979892233049,0.8598041411802879,0.6207717923678254,0.8058911867448944,0.7068803099679972,1.2959285177766393,1.6129667400502414,2.0709609595299776],[0.37302958949535564,0.4141686956715605,0.614723675659421,0.39583563083458795,0.5973512826546425,0.485147467966245,0.4252049214312403,0.467875432776637,0.4299539319977323,0.35298638378603786,0.34498124032268024,0.4502475621222642,0.37652913164274143,0.34955935050787185,0.3870275018831887,0.3824901116285452,0.46108769273856764,0.44005719023033324,0.5596619210114943,0.5138487206179754,0.5810217267132886,0.8008647086193135,0.7104815411744969,0.861503692216095,0.6676181684072723,0.6050179291161534,0.5080461015438293,0.46363472980636367,0.46274048788378375,0.4487991160449354,0.4212905041855822,0.4348383626994579,0.44804062229170344,0.4390602049954883,0.43059962643537053,0.44789434063460043,0.5085883677609634,0.5609420165743402,0.5514421725723414,0.6804401770651294,0.911253869314885,0.7466771283593182,0.9438106297240858,1.4556561878437528,1.9863766224551007,2.910827415389866,3.52986484622857,2.3909640251457147,3.122564887088719,4.0990183294995814,2.558482932062273,2.247431040806385,1.631908264547729,1.0134057882316918,1.2120427846531745,0.9615299011655354,0.9729515176461135,1.0096883529162877,1.1621302921537466,1.1142337929666677,0.8122960469004309,0.7049855635675225,0.5926200520875371,0.6716172166929959,0.6773280049746164,0.585634644366213,0.6729392572940971,0.4816208770228601,0.7132216824534421,0.786594348737541,0.9741830722406973,1.1987076569300934,0.9711349545521828,0.8082466942252948,0.6045872993634017,0.8094608601390405,0.5159210578014933,0.4686866558624775,0.48761233540510185,0.5653258413303835,0.5378542160221063,0.6703461659638841,0.9024344150388651,0.8535877592303154,1.0315062754905968,0.5695334511333282,0.5342387456142922,0.6136873884625805,0.4699992356491516,0.5002482322753776,0.45702064365414524,0.699808333329095,0.5233574376144352,0.4289578239610393,0.4180456510267135,0.5306577878968516,0.5344516587701789,0.46078920742390617,0.44740164920284725,0.6096733441592402,0.4547727934303788,0.6986316757031664,0.5178040850903334,0.6486152345275882,0.6719307706317864,0.709350617679377,0.8606720144233683,0.8509393531028853,0.815490838324574,0.8876982436400909,0.7168599624875649,0.5665404804449418,0.4687039276611781,0.518294399132641,0.41736294730556617,0.4286913089590721,0.461047383540603,0.5207361375824129,0.6499645324722484,0.4922794459265721,0.51763223390785,0.46122859531757227,0.48962504170139165,0.389007047390772,0.39075994337281017,0.6086470938577789,0.6970486747050069,0.6631991778968716,0.7662692678383622,0.7719408619635615,0.8830958539208774,0.8887223586911449,0.8932726568120272,0.8098082510451298,0.8829742980353854,0.82644118529929,0.982476334575412,0.7661842277274856,0.5889405853382392,0.563631844899868,0.6468087259421099,0.7525930630398109,0.553079878582801,0.5189185292859041,0.5873911077162057,0.5037910867174334,0.4942461622672419,0.47658628512515744,0.45949856730136746,0.47195811973365115,0.5744525871125032,0.5298314935736076,0.7796459351194746,1.2586724032891514,0.9424181781461441,0.5636061701354961,0.4439149987237708,0.5312149349600829,0.45311078642931735,0.5162576574023074,0.5764470682928494,0.5110039346592731,0.5847003745028502,0.6135556510821232,0.7549365142794877,0.9506343455655896,0.8927047471612805,1.185571517305548,1.287339811226652,1.0731944596440879,0.8833720069189659,0.7141759526400298,0.6954600189459512,0.6303896190380961,0.559999658699109,0.5598286255133771,0.5559840969293378,0.6463044017464469,0.5769062414296845,0.6421628268286322,0.7054869537190689,0.634681808718631,0.7876725924022264,0.9530107106548256,2.3596179063507168,1.879638156396256,2.0638955793666685,2.09134191163476,2.328291409538719,1.490109829052683,1.4681668668773056,1.1421904143695385,1.6963250423701461,1.5092360917878969,1.3459599677624297,1.2312733838345074,1.0696003744396734,1.026774910521824,0.9822058671012711,0.9094807848722826,0.8470536637018024,0.7918313697127042,0.7953587318140314,0.8386286521509397,0.8305542384062427,0.8277738013499895,0.8278319055188321,0.8557851634399418,0.9202791144896537,0.9351113637007449,0.9847103750857805,1.113725320716669,1.1700905438806066,1.2543575041232728,1.2693873790376817,1.1247940579147226,1.3628185592199256,1.0501768692363151,0.9674868157259822,1.067909460977408,1.073974655537768,1.428813772394332,1.2032047596179547,1.1271586669279983,1.1445058504827943,0.9808756011101489,1.0205638674438822,0.9934143065373464,1.1833453591640517,0.9455728994958243,0.9568446963736651,1.080536298415323,1.108501093845408,1.002958400555647,1.246658850085876,1.464563125344131,1.2513293124598983,1.465556511046871,1.0215312941864825,0.9673302536666808,0.9117522352835846,0.874153373922774,0.9719096383914893,1.1049745841329202,1.0097504845156977,0.9613272967629942,0.9062789292611133,0.9498364145480133,0.9648218084585622,0.8712811220069119,0.9957840542036168,1.0909948515070118,0.9727648705368453,1.0575182540430001,1.2203591631255815,1.3882012882683166,1.1541286613080939,1.1644983012036922,1.0850246057674193,1.0051507043978865,0.90451829232078,0.9321070037674346,0.9861388097586609,0.9161269045883831,0.8988370924953548,0.9472260860391726,0.9582998948366395,0.9115038567484341,0.9573260286827495,1.0528851772699241,0.9779426187540426,1.1659011553735594,1.1799721360883142,1.4810091160034762,1.291101437466894,1.1530925179724396,1.39518336875886,1.3910710559907484,1.3092123187757418,1.0038350824446318,0.9098102947760737,0.9090149287855621,0.9066556595215359,1.0219732457918635,1.231487534413923,1.1844076625244502,1.0762300626932915,0.8785598551263326,0.8874107174794659,0.7951039183349758,0.8062653167169563,0.7675359473981154,0.7898246143690912,1.0742714422158575,0.7974788222226716,0.7628318574177264,0.7449228250407618,0.8649246838537584,0.6250296726554826,0.8208332150449164,0.7572403158338652,1.2180918993439298,1.619637948282507,2.0753263099356887],[0.3656910237421937,0.44698391027624645,0.6837644944864277,0.4163778806544657,0.5972480264425389,0.5222976994126756,0.44717566175445944,0.5214901394704855,0.46281190450024573,0.3529443617470256,0.3641528633036381,0.4920540386828455,0.3635886579953693,0.3160805809364979,0.3679910913972871,0.35258768863332324,0.4366652347343144,0.37557241525919194,0.4556349004074744,0.4132331155097082,0.46280045147549326,0.6639870242315741,0.6369005778069091,0.7741219317665954,0.6075542844951726,0.492611561406486,0.3803546577885893,0.35019009684230157,0.3839078657825013,0.40541442965567887,0.407569584622298,0.4141471633763915,0.4810344404835282,0.4535424657983197,0.4183152983203061,0.386533268220802,0.4543044012497271,0.4448923208531711,0.42608806847782393,0.5426277580921416,0.7934923747170514,0.5954366155693847,0.757392137768189,1.2864567978958588,1.827627330750282,2.8356734006871336,3.39115832560261,2.223403780300194,3.0923697227853437,4.082041750667316,2.4266778467179444,2.146367169034119,1.4521456190499467,0.9224928339443664,1.106629975967199,0.7744032778779254,0.7839868916988424,0.8423663688980206,1.060682290933394,0.9581360037773233,0.6683291347900895,0.5875206623347788,0.5078474455512881,0.5821770660366185,0.5500890145474437,0.4736497209667795,0.6206930674931496,0.4137857914040093,0.6901076110361882,0.7554355510434072,0.9359451942269031,1.157013704913623,0.9630518196294225,0.7559319645926906,0.5759410721522535,0.7851787294290503,0.43952946935049986,0.4259154194404953,0.41690038691978537,0.4433174499534295,0.4711558691789872,0.573517193442926,0.8836104322217805,0.7007293924921271,0.8763798510716866,0.5043756889459627,0.4298011298559543,0.5525026855596425,0.38358268815683527,0.4630369922807334,0.4049257297705643,0.6691934038367382,0.4903045621182058,0.4396435426199831,0.4247307376384054,0.5482588036203804,0.5304866227748624,0.488498656889934,0.48490330724562114,0.6713583625444868,0.5131090040477791,0.7468031280256755,0.5494356157082512,0.6929546214133909,0.7121472231731464,0.7358006152086682,0.9168483629805133,0.8115650957149534,0.8067681296093482,0.9202773740340446,0.7342927726351157,0.5548543175880142,0.4519421284852055,0.4656625320538511,0.37371360040959234,0.33292083383229276,0.35681612238482274,0.40857687014996347,0.5654554161723989,0.41763705825138714,0.39639247906268027,0.3944522580714501,0.41895341645026407,0.317294323926043,0.3452637438488278,0.5606427893809356,0.6977413800681539,0.6257537569226624,0.7338493365677644,0.7374661463419209,0.8146528441604508,0.8380034885963892,0.8238957788206133,0.7735399432560104,0.8121061540491237,0.7596313518505863,0.9243304799208274,0.6687347108753505,0.48096769189908406,0.46800860454694876,0.5644962579348672,0.6552309390183453,0.4488767462495982,0.417858694453046,0.4761916732406571,0.4010667777190215,0.3998688854415746,0.42445914969570986,0.4356474531872912,0.4727670234671838,0.6166963265640397,0.5876173099731331,0.8701729287876191,1.293276434602078,0.9531082425729376,0.6349778230863455,0.49594680348338316,0.582192078685832,0.46014000161057134,0.544307727113984,0.5309734086014576,0.424076363718558,0.5048868203986039,0.5133133379821333,0.6853659849275447,0.8468274906114441,0.7986746696496548,1.094986605384172,1.1896475586180333,1.0065870586251104,0.8010173359830318,0.6312264397074885,0.6315890199149401,0.5823768644607059,0.5046456883574129,0.536921209707842,0.5251467126466534,0.6669142371372629,0.5066220376230809,0.6216399633468116,0.6508353821648899,0.6269156809936444,0.7438194547514096,0.8647277960992846,2.2990835849384608,1.821085473984278,2.0350071825716665,1.998120313095682,2.269397878892377,1.3552349562537196,1.413729894235464,1.211626555602714,1.5155172782369655,1.3675756455963053,1.2213248303884991,1.1113062613282743,0.9940944029425597,0.9499437756639705,0.9304283148858615,0.8712606578150865,0.8313002919741816,0.8047137271092526,0.793318692432284,0.8363301730768359,0.8537826021710432,0.8599101960160287,0.8374704756194715,0.8726932674787042,0.9771102493235077,0.9643507406965661,0.9818655310335852,1.1364744883734477,1.2223040992842236,1.255515531574753,1.2477288460101477,1.0838652523502668,1.3817434602387066,1.0401991248765743,0.9721452824004606,1.0764164793198654,1.0785796458198014,1.4438113081521984,1.168874298327192,1.1315790273160085,1.1590257581661079,1.0009628304249913,1.0349627455805839,0.9664600031464139,1.1507908856138085,0.9163669253242986,0.960966048374002,1.075823247143293,1.1378100333703547,0.9884984082484432,1.141705017030143,1.4022579548061973,1.2189285919428736,1.3745261014248986,0.9877652689773829,0.9242658505151482,0.8943792535434328,0.8906017666483981,0.9961301834325434,1.1733990102223608,1.0423820829773445,1.0020898603976311,0.961968849399355,1.0337395748920266,1.0447039430775704,0.9384405197668856,1.1027643316045026,1.2051453441033402,1.0601577317653712,1.151122014397673,1.3405485642348327,1.4893550561421804,1.234515093325507,1.2515905052589666,1.1392921941991447,1.0642522846540055,0.9609114926682304,0.9729356851372415,1.03090673048324,0.9525391504421606,0.9247205084195955,0.9703355662737467,0.9760339676424898,0.9156837416527867,0.9477423676914388,1.0725508870892004,0.9804812265104274,1.128354944534552,1.1500602098512265,1.4967873136012702,1.3020607466860807,1.193947917060016,1.3705213984501095,1.4131088170097157,1.3992672355992275,1.0361093082274038,0.9263736632021337,0.894240801075438,0.9617757961049929,1.0903913417540811,1.2876288920011234,1.2138160309625514,1.0795178871482891,0.8728367040734458,0.8524895196270866,0.7795636244815626,0.8293767820704154,0.8048083626177769,0.8503145940112266,1.1314884751989092,0.85083084477205,0.8385817394552946,0.8412496091063492,0.9491314317721593,0.7071402571007783,0.8454545513985655,0.9105395731091742,1.1270640506964211,1.6687168836408728,2.077677385467665],[0.314557312564739,0.3564235761074035,0.540596152648601,0.3579465174490042,0.5270494340532614,0.5012942574829797,0.44046182116857124,0.48747581424489994,0.5137559982558575,0.4496300125931461,0.4769164643432019,0.5700173641055674,0.43769778754034794,0.4499343557216561,0.4871044011088612,0.4666195024765089,0.4982008987840925,0.4803449763584944,0.5482778109163908,0.5183443814709865,0.5907111084775959,0.7205546618542481,0.747658134414123,0.9196109049251954,0.6920606040437389,0.6157084522333257,0.5064268644267581,0.4690986339457885,0.47179939236304613,0.47396262698379266,0.5339163970968486,0.5075215103515629,0.5791385907790013,0.5653823989386247,0.5101741240208407,0.49515826303634153,0.4919345237060444,0.5027660447323604,0.4774236138856308,0.5504730799704448,0.8102970976634227,0.6623985673125853,0.8028863873582517,1.319356741113684,1.8327725812991256,2.8684376316360227,3.382625959901172,2.2005549672705356,3.1542521645400727,4.032556309251925,2.4417933977349007,2.1542114224491575,1.481299619232838,1.0116338750469998,1.100557443058134,0.8142324814961702,0.8303608197776051,0.842358793644518,1.0223029861670292,1.0116377656413151,0.7301388622660724,0.6601394678060065,0.6225644997888069,0.7240015738219865,0.6721331282417785,0.579396987609387,0.7259130562280711,0.5400028373904565,0.7937154697306967,0.8451627932055373,0.9694214687708609,1.1895388398757663,1.0298969371457134,0.8459414502286653,0.7090565400269966,0.9178882778270351,0.5824715830916285,0.5558344058964958,0.5310523047015402,0.5609796133083034,0.4902517410658306,0.5888152831236501,0.8983194146568837,0.6819657278497225,0.929634704195455,0.5104598695520527,0.49348501077754153,0.5794981248767761,0.4916449793678612,0.5620549826956956,0.5442344555226674,0.7971091392972084,0.6131495216898439,0.573286757460596,0.5513420761157825,0.6681904337561284,0.6376140126362401,0.5842203844105518,0.5554720358434485,0.6745765129452401,0.5255722558873396,0.7374519024355914,0.5236493080191562,0.6146735669567842,0.626829526311837,0.6252611105035825,0.7808116901090921,0.6923792329507411,0.6895364301142022,0.8139539482393129,0.6188645233912107,0.4943788026403587,0.43285989396289776,0.4591277145488776,0.44364997918982063,0.4354110952514735,0.46420940800352595,0.5052350775906331,0.6789623346334945,0.5501566991910973,0.5395007035300231,0.5167341414171052,0.5578033595132028,0.4377238612878233,0.42783974472170916,0.564062469749627,0.5784060427233736,0.5679183092894836,0.6316443436927118,0.6426763251897929,0.7240082307671242,0.7293017041758004,0.7485241379412946,0.6853657474390865,0.7636847599032884,0.7247577114270906,0.9016113182696407,0.6821456515185709,0.5358642879537294,0.5157869344172956,0.6854336314565516,0.7655926741052193,0.5610364415999546,0.4899125047657727,0.4972599959426078,0.4408626061912367,0.43238402737760145,0.4391111240056333,0.4148508607267806,0.4694765379575351,0.5677291305938327,0.5823245080504945,0.8553294370439178,1.4292615737839807,1.0363867510347884,0.6458187897347412,0.5123834220843222,0.5438854797896289,0.47189981674126497,0.4878636147926601,0.5044325987945709,0.4349304247742208,0.5148335069580355,0.5126804490873433,0.6867046918702576,0.8392654942663796,0.7918128873150271,1.1040434613828587,1.1858404806261391,1.015601088787446,0.7990608227573317,0.6338908495864181,0.6056539586836551,0.5567983683732879,0.4666766518987365,0.4887257348788775,0.516233488743652,0.6212336016918202,0.4919451277754689,0.5522960517071145,0.6074257399363627,0.5588574605372351,0.6981069005602886,0.8479953127402515,2.20725088582286,1.8940364175282252,2.081119318462544,2.0594539233237863,2.351043589767137,1.4174313337134679,1.4399139407384438,1.150983393244971,1.5149146200249135,1.3385312441916966,1.1879319160951922,1.047268978496505,0.9170538454573776,0.8428428913023326,0.8200282477204596,0.7508026019784441,0.6889785414213095,0.653005541417558,0.651495794981765,0.6976311212897863,0.7002165542619461,0.7065073622151168,0.7041932309562349,0.7284615356397706,0.8259123118375822,0.807049428219505,0.8450882466163653,0.9959932956933686,1.073980036956881,1.080902368018689,1.1298995674325962,0.9852626343353327,1.298289421770901,0.9660357707163117,0.8650594291301725,0.9686414882698113,0.9696185266298252,1.3754917653573222,1.0805518222616184,1.0400568268741255,1.0611479614891495,0.8708037263560867,0.8899804980331656,0.8265207264056744,1.0096103137957324,0.7753226635766964,0.8206648696352876,0.9350015466222653,1.0161365548101875,0.8660557159986356,1.084787190186596,1.3150480914788867,1.1441333591088552,1.3180643650210524,0.8763199102497734,0.814163759638758,0.7701641560028045,0.7622834215864516,0.8895415766897309,1.0774852930402636,0.9666036535688118,0.8896840148657507,0.8333855576613373,0.9153828247545346,0.9357716481359623,0.8022384217113526,0.9719513881061898,1.0846303951304714,0.9217396464868596,1.018059769607812,1.2270328441902416,1.357053676386728,1.0955266897647367,1.1253159200087905,1.0086911644608287,0.9258279143231629,0.809054122652719,0.8234801170221915,0.8900428662842069,0.8081093987996816,0.7797334919976135,0.8381425544716713,0.855084013548162,0.7908560520427743,0.8390666613527283,0.9963496758666958,0.8877887943415915,1.0406540533563338,1.0676068518501147,1.4284544322473316,1.2357049650042788,1.113662159556845,1.3302392266941214,1.3832324764528101,1.334302411466858,0.968901181717869,0.8316259669948142,0.7735529510826366,0.862534365992898,0.986191368148313,1.1933060023554938,1.1281016199704226,0.9868922689779625,0.7636111258169057,0.7342068618299229,0.6783656392338459,0.6777859738900688,0.6750108643160203,0.7175024657221469,1.1783596285125777,0.7437873794582094,0.6876817225262628,0.7228643606617305,0.8870670204931285,0.5851126936081649,0.7107856176834045,0.7185803304609358,1.3219931626874724,1.914985241549382,1.960186276936306],[0.29579978223795034,0.3657390544794516,0.5671620390838492,0.3432429171306773,0.5233000936042634,0.5018672174332128,0.42636246454058957,0.5014098058650119,0.4760346052457308,0.3768382122211892,0.40080241284023027,0.5191295303429053,0.3882037171415838,0.3518089834922635,0.4101337799327737,0.3881600802290233,0.43879320140847117,0.38746959607084314,0.45237289063734903,0.4039372323034031,0.4606225699599726,0.6334550770173472,0.6071465704149367,0.7609308591375614,0.6100334707560401,0.49011651796157574,0.36981182179065747,0.34278154485230017,0.3735547631808079,0.4071671926955823,0.4348136385910621,0.4322020201430165,0.5052418560223394,0.479219657987209,0.44165277198290054,0.3993090530628166,0.4406550400033367,0.42456450185183636,0.402619980029146,0.4991841153029398,0.7550387159141357,0.5592978853701915,0.6836226563309606,1.199582301378135,1.7021563993624798,2.762368707723279,3.2297536230959585,2.0616165958818056,3.0751927789218696,4.029289308947478,2.31810983691781,2.0737783927665054,1.364851557432763,0.9238905837844686,1.0774021785999905,0.705392102069308,0.7031747180829757,0.75477836529669,1.0114768823613638,0.888150863499885,0.6291681276317083,0.5656754153111108,0.5184514679618145,0.5739979640978002,0.5535428671424923,0.456938578335757,0.6182331966432378,0.4236343408917081,0.7015886453350909,0.7395387887374099,0.9363872622230544,1.1471748893139073,0.9710178342137682,0.7478318976010462,0.5940271689801995,0.8003043684876189,0.45017685916431904,0.44732328338427046,0.4306936757143902,0.44060744861548395,0.4584153356143901,0.5283919704014995,0.8894124130356643,0.613672049695936,0.8060908944249766,0.47962416978945827,0.42080865701827636,0.5408018067922434,0.39459070142767166,0.49026604646248606,0.41813180787883186,0.6753050400740414,0.50959729708311,0.4713402691213542,0.45440631015197225,0.5727694714331684,0.5638949315213179,0.5122290142813799,0.5071083567364328,0.6781998003627335,0.514702710273884,0.740961236261725,0.5389864555566479,0.6591119006581392,0.6657443886179573,0.6745829262000417,0.8436146982750806,0.69543823619004,0.7021533140128665,0.847772560115181,0.6517678403223877,0.5046263033736799,0.41799874821420224,0.4264822348404595,0.37674465933787626,0.3367170423986222,0.3708397549839495,0.3876011392328355,0.5223651758117146,0.43798705285975253,0.3970019602120109,0.3987148884391155,0.43504389529394233,0.3327359771021046,0.3483956096140158,0.5137852562768849,0.6301867840081878,0.546354870634849,0.6347867897169497,0.6427564358843939,0.6894654169088809,0.7071214940022248,0.7060324734844639,0.680631847569962,0.7204047081767527,0.6742439029486372,0.8563691995515603,0.6000870433150505,0.45110323703035005,0.4333969055757924,0.5739843429418278,0.6245664436105139,0.4384484913006098,0.39004716210656154,0.43633349253134424,0.39072733092876644,0.3822160100364523,0.40086978497794673,0.4064412556828908,0.459454601887423,0.5883981192922952,0.5779853484394389,0.8573346659339804,1.3055576607610164,0.9603332403330298,0.6381233697770806,0.5034737036275835,0.5603998554248192,0.45763404087505233,0.5154982700287056,0.48969329875011675,0.38987112676310126,0.4602164225307206,0.4529845339523487,0.6283032758245024,0.7640280960225632,0.7110382287965438,1.0131036553771757,1.1003799224569266,0.9557964001736978,0.7261253886696095,0.5641837702255654,0.5612511910748293,0.5271635045802917,0.44958607076601514,0.49719067147452306,0.502361561757719,0.6711031167992735,0.46092017993783785,0.5619265686602233,0.5770094928143785,0.5609595187110361,0.6565035776151611,0.7593884552938095,2.1788575958569685,1.7659210901878988,1.9858006608125565,1.912264814572138,2.2476939286013273,1.27134174580009,1.4216354622821632,1.2922941608725151,1.3203650804828653,1.2166758443307013,1.0785680868959138,0.9468692248912093,0.8578184567564192,0.7863979869026714,0.7736386027661948,0.7261321930971811,0.6693612535130948,0.6650055795860855,0.6549067860792419,0.6765373389226567,0.697239427527058,0.7195580149263479,0.6951073905006272,0.708767295981157,0.8290206361927378,0.809294559630209,0.8214229679672247,0.9692641813977086,1.0744364353452986,1.0592972144903003,1.0859225465626021,0.9316697191853135,1.2444990074799087,0.8948531413022629,0.8118242227055629,0.9096616422623829,0.9065572080987453,1.3010250666280427,1.0301413538787254,1.0318176128622911,1.0423912339271877,0.8579201867005719,0.8843887013791449,0.7994235879889766,0.956859348929665,0.737610864819336,0.8078108232766109,0.8814490197569715,0.977563248631677,0.8088012093263742,0.9797831197628102,1.2078325287765412,1.0630455079527554,1.2228358990956518,0.8184910641172428,0.778527132534005,0.7503752005552451,0.766197541746467,0.9093333334069124,1.1008346906451432,0.9885686019355538,0.9193934231018542,0.8571300758991875,0.9498929375734207,0.9673623329336976,0.8275494807480459,0.9962860153235775,1.1132193938153139,0.9435709297524697,1.0211438615316228,1.226292295268805,1.362300326704186,1.0813524557869727,1.0985246068795924,0.9865655360641812,0.9144543765345211,0.8197431780346303,0.8162196120579517,0.8556043248223109,0.7893025541560786,0.7646596472720035,0.7933572580139064,0.8087049000508444,0.7519104688709403,0.7824839783230685,0.9439742375690178,0.8374227071886028,0.9728573435453578,0.9845898834653978,1.3529757062369934,1.1702375069216608,1.0730486863468536,1.2238355741663087,1.318483065214605,1.2992430468432226,0.9378472030561491,0.8014156784323135,0.7456170692094141,0.8785666490384305,0.9879533535102325,1.160898154878516,1.1027826138575874,0.9487911820450966,0.7443095740128504,0.7117700989206109,0.6733738387903002,0.704360479247753,0.7006548746546165,0.7418771454938481,1.140948405266558,0.7687041771420877,0.7254301311651954,0.7573435288958543,0.9026673635534389,0.6274137061157864,0.7491547436842311,0.7513894090160252,1.2022057140304698,1.7489575172708713,1.87225708281502],[0.4213105762532967,0.45400090833891676,0.6833677907382205,0.5554138246504796,0.6420188633683742,0.6482321813313675,0.5452088881737717,0.5921855166180452,0.5026240085702603,0.3936817612449403,0.39120674432255936,0.5146852830722396,0.40777997814073724,0.3458410741309286,0.39952985119683454,0.3978009265110679,0.4775095850534197,0.4006064977749099,0.43953311428755615,0.4201765393444495,0.45181847284199744,0.6107591511434354,0.6124857978483379,0.7460797874602562,0.6207441393562092,0.476448881287795,0.3831981775862673,0.36762270567121574,0.407959690559698,0.4527903360339701,0.44287131850490913,0.4596101616360284,0.5164868787713812,0.4868810327815511,0.4749603163138215,0.42838522235693466,0.4864516993752083,0.46083602367505233,0.44427229882558467,0.4965543781890666,0.7301757681518827,0.5454084805777102,0.6337612917041936,1.1024938407655966,1.578932930524827,2.6732707939566307,3.048737029102182,1.8902685343688133,3.0197378932246,3.913399084756232,2.1734595023192886,1.9782936787021645,1.2747042138148506,0.9523105175456408,1.073110341419331,0.6649169013481022,0.6513842231475615,0.7181026396642319,0.9977902507222042,0.8480073210717344,0.6382414028234211,0.5797640355691407,0.5458670626551576,0.5839998045398898,0.5525239407434765,0.47643701252924664,0.6239431835222444,0.43570761603476776,0.7078860919595816,0.7273163989755911,0.9504360763439427,1.1466302007393498,0.9702748114912723,0.729233582902708,0.5968692466981923,0.790552772103122,0.4524295500008495,0.46288903689741556,0.44971239760742543,0.4746163215199979,0.49961759263242866,0.5653615658682194,0.9715656198305946,0.6351007414497136,0.7942418831064548,0.5399110743418841,0.4630117312314266,0.5732603172173794,0.4241893190208273,0.5076124953404315,0.42049655837276395,0.6802961683391523,0.5038278413360927,0.4561987895618603,0.4421362268183192,0.539227130565092,0.5407988692866237,0.5078119871445346,0.5114598638678483,0.6799791951540548,0.5474152534249138,0.7887178972926141,0.6133494717879323,0.7423261453145095,0.7842477207523217,0.7661535351975877,0.9285855591144333,0.8077131645351153,0.8330387377575441,0.9493925106795388,0.7844252034559951,0.6311050119741478,0.546287105922194,0.5243035222150487,0.4364968719337892,0.3835959327840831,0.3719140829756561,0.40618600741276967,0.5314398504767441,0.46202388633655267,0.39757390310838986,0.39261212008919216,0.44006494228628057,0.3761301949961334,0.42259956303519536,0.6019253550197766,0.6943344258344579,0.6953206782605539,0.7630519138892785,0.7811920078588515,0.8075536646617834,0.8221910432771483,0.8258132832157372,0.7956887802060907,0.8299867891428248,0.7832033110362714,0.9610262146861146,0.703713177902593,0.5612736131416783,0.5270534809469828,0.6110160009441233,0.629493853586733,0.46428221130830827,0.45719824930970876,0.46651274660690517,0.4509561287992032,0.4464195095712571,0.48002342247892477,0.5140780813510067,0.5437944198960183,0.6850907558992069,0.6405927028574424,0.9057302266164801,1.3418643388631077,0.978488950014709,0.6727095149094819,0.5474566091550073,0.6398458449589403,0.527316973411644,0.6359779048793947,0.6112467803401745,0.47141455578108266,0.5419527441961709,0.5099592328814455,0.7397771005435968,0.7382692840894434,0.7631830660344816,1.0467636256973083,1.135342851745724,1.0206973045660526,0.814488310172729,0.6680877096368478,0.6757005013395957,0.6387187065633114,0.5539639357642654,0.5971083658962463,0.5777545804701162,0.7488894786496668,0.5475495232404093,0.6503252174919223,0.6615093294673182,0.7064765151208849,0.795093262045504,0.8896813977595969,2.239726688452675,1.9410675192129667,2.1409725680410756,1.9744260736333035,2.272713861570382,1.2008789586393618,1.2897704833565926,1.312142738250178,1.3411204157578414,1.285506265269458,1.1227641605504897,0.97282666264237,0.9413122451591036,0.8758940144657433,0.8707807760089161,0.8573604613131026,0.8076662110992386,0.8043216150159436,0.806693302670279,0.8225277702188756,0.8240131287428983,0.8399357522282107,0.8410556362953429,0.8231976921705133,0.8728163572530958,0.8611463599157833,0.86292095513765,0.9481234566090984,1.027021901278861,0.9903071750019745,1.0362931609215176,1.001922126593013,1.177864636754309,0.992269413458819,0.877287570783786,0.9381731815197795,0.9644652799124981,1.3663900404532157,1.082553725585313,0.9723855211277785,1.116791899633468,0.9639790144425104,0.9918753253239394,0.9082184335608684,1.0145878633077614,0.8491270116327438,0.9019815285273953,0.971160560658917,1.0662844123057273,0.9175350619744874,1.1002384506710967,1.2284391853426486,1.147116875476396,1.2717572557347678,0.920090847056047,0.8920904654711453,0.9111580643436664,0.9126435082432585,1.0452342581510916,1.1905031145339056,1.1171244380035177,1.0359346529044027,0.93287119872434,1.020939609403576,1.052576978979476,0.9025266845504486,1.0135868763283764,1.1130905142306782,0.9627942332525659,1.0098931834439475,1.1683704660245584,1.2816952966371986,1.033906161095682,1.042147910886267,0.9777583580408314,0.9337138193517122,0.8683215857955568,0.8816135825531927,0.9036486792546807,0.869688424429336,0.868070633213082,0.9003998004858619,0.9224931365350134,0.8833929682443553,0.9062537396642174,1.063371496291252,0.9610559413875676,1.0219268298706805,1.021207637789222,1.3737178223516697,1.2218736436258908,1.1614220016907888,1.2437578920239571,1.3795744999630881,1.3685264585474624,1.0686079111058575,0.9515254261907914,0.883852204742492,1.0338451423431059,1.085583722484197,1.1949215892938923,1.167811649848754,1.043893260458748,0.8566916855817458,0.8282395375203382,0.796201227978306,0.843332928165609,0.8616178881505816,0.8918638686122006,1.3507875531355569,0.9190314440849735,0.8223044170608945,0.7936169904034818,0.984963807328273,0.6561684588002816,0.67400026931246,0.6896378370955955,1.450342142180095,1.9686693620620035,1.9777223078406019],[0.4603278072920193,0.44168213844895093,0.6144467805927025,0.49256404191770725,0.6471247500410942,0.5154078889960411,0.5542384345602649,0.5403059078762612,0.5820877947541723,0.6417239768550896,0.6239648321393568,0.6090621797253408,0.6606128968976019,0.6979496850007239,0.6754898221891097,0.6772861054645719,0.7272669074272619,0.7046317024041365,0.7687377183201403,0.7600200819596004,0.7875501480270443,0.8128248300250834,1.0750483885088005,1.0671498006863331,1.1458571937222377,0.9082891638197761,0.8219959236043983,0.7864835759091312,0.722706964268599,0.6511029347387514,0.6670402590964868,0.6406943993845138,0.6402865447511039,0.6346277292535942,0.654490749031579,0.6377996443879473,0.6611028130760329,0.6918388819926244,0.7119729265824448,0.8199446370467217,0.9624505874975017,0.7792881666646972,0.8196030572421125,1.2783850480378602,1.7888035070376835,2.931795564726559,3.4003275858274487,2.289151227140581,3.2784138091901447,4.310851165139287,2.5224710444197718,2.2071033907354787,1.5233518095511436,1.154169123570905,1.3135499773721235,0.9742786741281018,0.9016252134352787,0.9913653617237901,1.2405040836358656,1.0875219522197617,0.8125026133149134,0.8550891560239493,0.8072512395493242,0.8786373743079188,0.7844359477865507,0.8111196424428588,0.9456064263856424,0.7553423289581029,0.963775606383507,0.9886597682421746,1.2287179215240558,1.3641365952319464,1.1689320117700952,0.9732087973182023,0.878406558162855,0.8769376461911875,0.7302276193097026,0.6772603744355136,0.6745147988816065,0.7000477406501947,0.7005511147754416,0.7384073604213677,0.9880546448972265,0.8080839474418855,0.9176969254593214,0.709631023835937,0.6968956604371891,0.7537026794841093,0.6800359185758124,0.7127213496270158,0.6828485864752545,0.8620372588820752,0.716910766271638,0.6596742927259924,0.6584245919557054,0.6753163173920735,0.7133978573609255,0.6092216234426293,0.5980080540013112,0.7227264162732907,0.6201944198949463,0.7412763624354215,0.6238972820625089,0.7022171638005075,0.7405636034552467,0.7555930496059429,0.8679759470784495,0.7381425736573715,0.7246779395513299,0.8627145205392681,0.6793929969511142,0.6219226268576464,0.5849689511851877,0.6650062373569982,0.6812943060307538,0.756555606967009,0.8471609584897034,0.8605804023909168,0.8783760914487599,0.7812477517977358,0.8167541952261168,0.7666785246765934,0.7878784052018373,0.7197620094539636,0.68793694841143,0.7006355195833923,0.7632567057395238,0.6337758215377072,0.6781078703460807,0.6865247619941899,0.6883767203806516,0.7111409034673679,0.7020596347000793,0.7224085151886858,0.7515365094154068,0.7576696134068897,0.8771207545261909,0.7658236234582275,0.7832876583915925,0.769929487675064,0.9134164888432967,0.9509183266865238,0.8505214141777543,0.7776938937036009,0.8645110409387076,0.7269032557850091,0.7286584702775221,0.653066072514136,0.6194499931368785,0.6249053637115565,0.6337527876551176,0.579021588989355,0.7757234438165537,1.1311163973189224,0.8850600339077453,0.6106880484211599,0.5834749216198724,0.6030746292633867,0.601683141813988,0.6295331080884335,0.6637600462228896,0.6944890372294217,0.7127456874046845,0.7181749420136782,0.748573881433534,0.9571305807134243,0.8031482035823322,1.0195177017101658,1.0590663347721863,1.000402684782019,0.7980968433103003,0.7351469536584105,0.7226822927084331,0.6981485702518127,0.669683950591766,0.6586339560188622,0.6990333605826615,0.8176303435643879,0.6778007179639882,0.7421283642702782,0.7757752258313222,0.6595092801534631,0.6911523658233203,0.7768421863801787,1.9792800125015484,1.4430182618206946,1.6343865616891344,1.7138579479074112,2.0566395621137517,1.2117310913147232,1.6391868646751264,1.6590398163887494,1.1561049159002457,1.089930057135051,1.0302572537395698,0.8966296817299554,0.8133565828766253,0.7596424215261826,0.7486748133933174,0.7335035544966464,0.6902020047630043,0.7052619332151921,0.6951256290726975,0.6959577576105267,0.7363578071006197,0.7734037901108998,0.7236886034191622,0.7536750835521149,0.8668537054538663,0.8955736082029793,0.8969298156393588,1.006693207225183,1.1146782881145834,1.1479559166414277,1.1225398707455916,1.0307969509065664,1.177302543757844,0.9150937417023975,0.8152042509567808,0.9148246911276514,0.8900277492496809,1.281855957231063,1.0414348260058277,0.9940025930975109,1.058426846712058,0.8798419610500524,0.9199800325435982,0.8257697556319068,0.9590611932679298,0.7559077992363454,0.8003467768222255,0.8739892002809342,0.9597334793401909,0.7963970933357396,0.9603568683729636,1.1323179509039496,0.9920111908311937,1.1552180218310133,0.7903921768769901,0.7652188091662079,0.7604407094639832,0.7931871558552244,0.9309443534044394,1.1017370688677635,1.0156991772628017,0.9414836415340653,0.8838222211627881,0.9469368341986887,0.9598561795627216,0.8395138375884432,0.9718030445780832,1.067360507302664,0.9458069879681357,0.9914213206077184,1.1401734891856155,1.295913001616871,1.0503517858053597,1.0359071023888704,0.9796638716810416,0.9124246716815664,0.8330235088153298,0.8363943180623389,0.8755380442442499,0.8215489576409153,0.7898787206468637,0.8120302420161666,0.8382171576730758,0.7606372098109563,0.782883583436847,0.945326379537652,0.8100690648342913,0.8871265012206412,0.8860608418003961,1.2487165275530798,1.0764557664537802,0.9994456294324042,1.1056395930758278,1.2721929225038906,1.19785531431736,0.9180357270915945,0.8156942766255872,0.7998491596881133,0.8510516264936542,0.9079935400580784,1.0339505548573538,1.0215946956146673,0.8857478834365027,0.7486160177324231,0.7089674075323904,0.7045041970129434,0.7397303104491068,0.7338413263671422,0.7824792774753058,1.0357494137194838,0.7733609312796333,0.7703134622999854,0.7733829608864641,0.8417946255054555,0.6670926909046453,0.8479467183846452,0.7120467112458883,1.3022528546282206,1.5273417865927545,2.0360756540576275],[0.34586193574212254,0.35940246448790986,0.5661997012323021,0.308463619509467,0.4902014189707255,0.46328076442372856,0.3366154218760953,0.4507545456801279,0.3794304838406229,0.31461346268226315,0.3362270837882594,0.4622412853790392,0.3519706214919942,0.32610719277469585,0.3849882220838104,0.3536952831661936,0.43770401336236237,0.3845093709926951,0.4332264542329296,0.40677224075061535,0.41170768255395845,0.5202018442545991,0.6840738789769959,0.7116441924374469,0.7371319342640139,0.5065890392512146,0.38044557151331604,0.361935944537371,0.39371967305391076,0.3971647250012846,0.40284445172289396,0.429647924961073,0.4737860178063826,0.4421572767920269,0.43159816273823653,0.3788884985190611,0.434964156371571,0.39590036934714773,0.3580307012434589,0.46958962135429266,0.691742999657919,0.4693979944921691,0.5267188695820274,1.0093114100015377,1.4973361078267788,2.660302248262251,2.999904834408156,1.8710446270050403,3.061105681944877,4.039500697589412,2.1908218954925447,1.9347816384319316,1.280918467563188,0.9227443844325277,1.083221850152102,0.6487339959172634,0.5797425826343163,0.6517317304464249,0.9915696543373298,0.7738613125628977,0.5546642888208596,0.5803980957985982,0.5321977725405237,0.5461296387088278,0.4774011077843268,0.4472274728456203,0.614243870865798,0.43178475333111954,0.6633890702380032,0.7312645970623032,0.9971861169784964,1.1601917210589723,0.9936696877527564,0.6602860916003025,0.5952380671036934,0.6959525946321895,0.4183872808788875,0.4430474193880664,0.4226011681448037,0.4361581507718213,0.47939866781901147,0.504647938556622,0.8936931988200919,0.5523096237923931,0.6597824563637551,0.4584048266464069,0.39781933497523786,0.5577951490722024,0.37484267016793515,0.5033118474530729,0.3991855168789055,0.5971863235225412,0.4544239027310025,0.40508887644306096,0.395112419703061,0.4631571461958243,0.49227217499883474,0.44902201481115733,0.4595778413954573,0.6532200562293461,0.5000240547176387,0.7492681763043786,0.5367617276143464,0.6652488589792713,0.6859738278105519,0.6621911267573318,0.8720135225768708,0.6581702368939765,0.6810348196519492,0.8542878282826146,0.6366624179906777,0.4694020912756077,0.37252004528191596,0.37256936145088976,0.31922238786918783,0.3366076659853001,0.4604584564581972,0.4262481296320325,0.4820932160107397,0.4455105740951828,0.4184637267580733,0.40165082248302386,0.4000346067944255,0.3120428979046418,0.29152274365473735,0.4308069918598952,0.5852025646930645,0.48527127149240906,0.5795551232828617,0.5958054954088935,0.5890089720643297,0.638140174605841,0.5996871321988262,0.6243130164157079,0.624246983932372,0.5648123217874558,0.7618460249455413,0.4818170795341323,0.44987505654997206,0.3909771235732033,0.5624494509629264,0.5736261529681127,0.4244125769080869,0.35836556710904666,0.4371940453948743,0.36737586292479807,0.3614814559636758,0.3750652165984588,0.3807908562939133,0.4151569470444261,0.5669747993307171,0.5290887620662559,0.8329510462362425,1.1645884445630668,0.8608513108334124,0.5847838799558748,0.4579069281581093,0.5384799537976964,0.4443489082097911,0.5168646585010302,0.4434216261692829,0.382795409959836,0.3936649769182573,0.3775038486974272,0.5228493546213547,0.6161602973733449,0.5566309513999331,0.798837293502384,0.8913697714712685,0.8135972831665976,0.5861573607433529,0.4553389842227452,0.49479135813484326,0.49176086191399215,0.43431575657698657,0.49022377325834693,0.47577478550893193,0.6973992773249269,0.4655498449814778,0.5744322489157861,0.554995641606777,0.5469989494528132,0.5832521100501223,0.6213208402530606,1.9869707095179512,1.570342343899093,1.7857118999438135,1.6914835362786307,2.1089749717635167,1.108658937005435,1.518997038065226,1.586538575059684,0.9808360474974293,1.0015504717302643,0.8773867842930757,0.7368988002107735,0.7072378809293351,0.6429916260474651,0.6453271520488731,0.6668676962348291,0.6225790282419045,0.6606076564674748,0.639007705460859,0.6259569349534921,0.671526025286312,0.7144889251122871,0.6638799361369729,0.6547037956506713,0.7560771845313123,0.7318867059034567,0.7158122690940671,0.8014756803578144,0.9113039252385217,0.8312406451842089,0.8528722226379983,0.8430515367538377,1.0207731165355403,0.8132955199470879,0.7110980345617641,0.7750313504197445,0.7755313857107723,1.281406153905754,0.9443148773223561,0.9192952242930277,0.9991523488323023,0.8364103058905944,0.8664300959121867,0.7729442156778097,0.8499647259865157,0.6712855529909115,0.7768886663709459,0.7764064396302102,0.8972656814169743,0.7176258716654764,0.8932248535966206,0.9752726174571498,0.9227622199086244,1.0479155296425768,0.6977789507767052,0.7202051500764786,0.7466021935565929,0.7737500262586425,0.9360640218845742,1.1000940770108019,1.0263231765513101,0.9381928680504306,0.8314371005793094,0.9431415716684188,0.9633238735374838,0.8076594023491261,0.9221942338171796,1.027129618011924,0.8724110659977472,0.9000738475657297,1.0496392748463037,1.169135813571494,0.908927726823257,0.9087973731413611,0.8470419494784586,0.8051016535426819,0.7467098343153385,0.749076964084109,0.748769034951578,0.7216146321565362,0.719188336234942,0.7226589886606131,0.7444186084366502,0.6918208492802805,0.7081440243398143,0.8684177365745136,0.7672781987706335,0.8095740954316611,0.806055701257197,1.155884315898174,1.003332960131636,0.950035148854727,1.008729400688099,1.2003400641723545,1.161706362748184,0.8945990773721447,0.7861767542986267,0.70211578583052,0.9380050000316364,0.9006154827007428,0.9653806201374708,0.9564155890108936,0.8325861128827367,0.64536117759288,0.6134775481776981,0.6002018636224848,0.6889939183183313,0.7232811017008745,0.774871749348469,1.2204520167192032,0.7956353238471318,0.7183412898255548,0.7096003125871528,0.8848055473372193,0.5778875462625475,0.6391868341032257,0.5986657008901483,1.4120179857671948,1.7583597500509847,1.9245415646741493],[0.305820111641969,0.1970318620499831,0.4028549074059099,0.2491560806125843,0.3386727493207074,0.4024390561136753,0.3232399225814036,0.4624348578025333,0.3827362078956013,0.3370095512589512,0.36804225306300786,0.5083505077912379,0.3900773918904819,0.36190499434979084,0.435899808598377,0.40185683975292646,0.470617125802168,0.4163572461743162,0.44799008095684817,0.4260604571000347,0.42037262606174197,0.5168425032296545,0.6398594935840403,0.6877342711726214,0.751996210161648,0.48647670662124215,0.3711947080542787,0.3764260416800398,0.42513165592522156,0.4311947583394935,0.4458298072940819,0.47204266756685614,0.5293166128213515,0.49815065090292465,0.47897085107411974,0.4167703843699615,0.4595939213471565,0.40431390205083495,0.37238824619025157,0.4691983996473131,0.6652651525790584,0.4367901856991222,0.4880751613766539,0.8949403380771686,1.3534147228116724,2.5466470054498735,2.7844284763651888,1.681086451458804,2.9922363891793,3.964934758948371,2.070503035481196,1.8424551617326188,1.2565577944405883,0.940738209276953,1.1434328398891307,0.6665090496686707,0.5402333658222183,0.5529789500388165,0.9438736973086808,0.7322753331194498,0.5460262623618403,0.5948032212383941,0.589094775862744,0.5440375260594531,0.4710108344940817,0.46652693116415955,0.636949861533098,0.4670455261141093,0.6720678036780855,0.7172623530295035,1.0015371262408408,1.1591468341013613,1.0160501938845565,0.6524560620053698,0.6215412243473887,0.7158559502732488,0.46565281142172066,0.4955227777204326,0.4767853986566732,0.4660628029864264,0.49912726199101626,0.4840393288128601,0.9154018718959185,0.5236611341142464,0.5564622809818851,0.4428232234651696,0.4022771544555941,0.5748437720121975,0.41053670970058354,0.5579283844548354,0.43292768180885943,0.5853175764356539,0.47568892875493785,0.4602753900084892,0.44302040286563704,0.5096525763765177,0.5139581222448232,0.5010601166307289,0.5093714942746806,0.6959751022544377,0.5382677539578938,0.7551315992758196,0.5571389521543396,0.6588223118975675,0.6721456839328006,0.6246371206190342,0.8529421337992354,0.549632238769892,0.5722996741435239,0.7971579327190037,0.5387574690128604,0.40907424888180466,0.34810142990005283,0.3606442248347986,0.3426429683278387,0.341540346215443,0.48805295654956166,0.42356395974340694,0.4664878622591497,0.49317948709436643,0.4151602040823369,0.4123168987470118,0.39070616433282035,0.33480849947585484,0.32596457197400563,0.3978828623207744,0.4851306087467068,0.39132934101155825,0.46026850711402945,0.49000295886157835,0.43571003873249525,0.5040357830247605,0.4594077082777074,0.5366566637206427,0.5437510247573096,0.48788057353657294,0.7146089628759426,0.45455770064383505,0.5197195760236543,0.41213882687024017,0.5573192308798163,0.5576145645054961,0.4271298657833603,0.3680460977230954,0.4307654017528955,0.3800755283153542,0.35830388386713957,0.38466036787848623,0.3733041181717042,0.41817748036249036,0.5525907360794667,0.5508523077623746,0.8526826480667374,1.1445382589224924,0.8479442088570568,0.6154867190501303,0.4906262371180994,0.5434621326226508,0.4600421111317803,0.5055128245187552,0.3983629261696515,0.3817312698182695,0.38776233139732547,0.360022888294034,0.4995977335319299,0.5709815653205056,0.48939193663437675,0.7120242700232512,0.800124690339621,0.7581987194327956,0.5225993959848599,0.40296531517372697,0.4439236415266529,0.46370077316102165,0.41131390678698254,0.4743539877350315,0.47257549785348674,0.7413867661737051,0.4518035572245548,0.5707654575592875,0.5348061190659791,0.48710456592408674,0.49228553469963954,0.5033570266826766,1.8036081131384571,1.4486385789845833,1.6848567407237356,1.5822876043820606,2.041016334465025,1.0127909821200851,1.6063158547878076,1.7982035505537173,0.7737509566578378,0.8497476657746784,0.6934462862189512,0.5509151648693491,0.5554284635900428,0.456111657426407,0.44930427262458855,0.4896991672415599,0.4283439124630089,0.49881180605911113,0.4615999884301454,0.4239289090457187,0.4813501056615247,0.5259828775734215,0.5031345700387891,0.47773046822725074,0.5929386477786566,0.5294755448372496,0.5795217970181568,0.626652815954584,0.7135873413918508,0.7760209643051396,0.7247495102981983,0.7367340183444029,0.9221817293853973,0.7223553316079361,0.5866787188288392,0.6249146604022267,0.6014542052867667,1.2488234125706243,0.817008356155943,0.9080150590769815,0.8547557940716534,0.6837019024058782,0.7229103519441167,0.642487359220301,0.6719969437466745,0.49164721879904605,0.7129026783132913,0.6240681220589802,0.7747308315162347,0.5863073588185723,0.8144864990911669,0.7570406079607243,0.7508324924364063,0.8866813971059652,0.5132034356455335,0.562787616342386,0.6084089016760686,0.6626700902816766,0.8544030629533467,1.0521103478641898,0.9712208939898973,0.8515092266267887,0.7284601203794315,0.8885604460125522,0.8937018953311462,0.6840176825048612,0.8358762245536205,0.9550698465411613,0.7518304757622145,0.7709170733671803,0.9486364333805616,1.0337566403702347,0.7528900971689245,0.763343249426768,0.6946749518398252,0.6521702240971528,0.6099542609742591,0.5989586727503117,0.5764233181514813,0.5430932543297802,0.5733273941341887,0.5339208407657071,0.5639566072945553,0.5065196406621586,0.5210231238596033,0.7123798723583785,0.6447267181441154,0.6496213464579498,0.6684058164131036,1.004874910982095,0.8714297245911056,0.8416360896793572,0.9010119276081071,1.1186999453036541,1.0661056312294417,0.8460282484781992,0.7231856098026435,0.6441609450597208,0.9665998290492933,0.8467958431284813,0.8649789773994698,0.8772321671381382,0.6672304186114382,0.5138118148063288,0.425832945554343,0.4408230198222046,0.48251975070182473,0.58837167531537,0.6614820383634781,1.2427071730494246,0.6807769326796901,0.5902677951668234,0.6641641669013002,0.8761048661100256,0.5043256184445388,0.5869897700217115,0.6440061385829241,1.6486894340141987,2.0007544314063814,2.089923567284809],[0.4790570885992668,0.26586539775087775,0.4752661987092627,0.2761085873389003,0.35414627128802,0.3633895632597757,0.2728978968419013,0.4404111305831244,0.3397423948441318,0.3043085549483449,0.3519980302642595,0.47172661401729876,0.37304683704983055,0.3230886861510593,0.4317673420915493,0.383311247257857,0.4093714861598719,0.37558059112262615,0.42121696626485416,0.3897199320684736,0.3951028370075,0.4915191180295448,0.5754047000028073,0.6670408388368031,0.6688840181847003,0.45687912323845487,0.35183755148742857,0.3410250938494228,0.37475409253482667,0.3944602224444753,0.4370116916206772,0.4494197249751749,0.5199087795097105,0.4968505764361322,0.45949599162091864,0.3834077396953514,0.4379143241540597,0.35641564168303486,0.32385429145063555,0.4423196653456796,0.6544648197867086,0.4230030479413191,0.45368393473721763,0.8776538079493335,1.3330265372954895,2.5442095253750883,2.7311900995776925,1.5936200457660175,3.010843208931449,3.9086319027573184,2.0503257791157443,1.811472832679933,1.2494652615660582,0.9682084379983218,1.1451489789338478,0.6175703250061356,0.48404649939951605,0.516555119015686,0.9271391309334378,0.6873703633213524,0.5111713733175914,0.5509753756668467,0.5516960622369712,0.559146812587099,0.441406507120735,0.4327236754955361,0.6282454262097587,0.4536124022370873,0.7092816203726321,0.6776406972126611,0.9551319169633178,1.1455925713143533,1.0072440905421318,0.6753880750042024,0.6074916577149013,0.7331530828632423,0.4419824046355122,0.4752132971075494,0.4316557319900128,0.42979468566394685,0.47178590847475416,0.44123073998235357,0.993748641501486,0.5280067417388333,0.5293074440740327,0.4216233000845803,0.3748472977771516,0.5360025089151189,0.37742763188270007,0.5290570187763016,0.4351591892633244,0.6053077981000555,0.48301921298468403,0.4656221704593754,0.4397937223438161,0.5159392223690292,0.5105894416932965,0.5034689667810122,0.5029201158919716,0.6990671662603253,0.5318644793981366,0.7573226090230846,0.5444425336248019,0.6478170492275453,0.6564297617993976,0.6025802750271143,0.839601650017585,0.4971548742093292,0.5282142603853078,0.7820063389037887,0.49341371363158143,0.38912258797346805,0.317942363849512,0.3397175811889247,0.3031190218782692,0.2944850302474798,0.446771792105406,0.3745564808939835,0.442524380507327,0.47062650791168104,0.37552855999994705,0.3525560046010245,0.33978259181133325,0.2702943755527878,0.27446612190981956,0.380264808676325,0.436069571696192,0.37303542675433066,0.40887646395428,0.44698050551720125,0.405910148471001,0.47464871889778737,0.4217985088796951,0.5117420011232056,0.5092250520817507,0.46030902266062484,0.7010652517360658,0.4345129202787136,0.471181811962942,0.36922314958393326,0.5452650077072814,0.5091492532313742,0.3943898088506375,0.3198677650054655,0.3810573661202568,0.34179502427796665,0.31352165071007004,0.3534085996179654,0.34886112710487355,0.4048095571077597,0.534928964011992,0.5392872491932903,0.8731850232089451,1.2182701332883166,0.8855969159308208,0.6352835046608764,0.4749844061218465,0.5364044351748803,0.4290728038096346,0.48794672350318485,0.36931258988980203,0.3690983841743736,0.34743566477420346,0.3330306500818214,0.4440240380370648,0.5486320187607805,0.4647079603001818,0.6927426136830204,0.7801000342618304,0.7363750418417544,0.49706862462236134,0.3769660116423064,0.40164147657423305,0.42991599199460745,0.38881504150750607,0.4721118079764468,0.4643870732199664,0.7662471588011979,0.43852300651276854,0.5803297417163209,0.5325337295033703,0.45047024822586373,0.4585833694213307,0.48333881560487774,1.662884268942592,1.4233555319399116,1.654881507705766,1.5565576066949058,2.086485245438408,1.0523468239932277,1.6674371022982077,1.8452368237737728,0.7292334354477804,0.8171683584839404,0.66535317272313,0.5336523502548584,0.5353061402545732,0.42670012128549195,0.434767785252626,0.4477280144559794,0.40479897574282053,0.4701685479195639,0.4183979588639855,0.41769954330417997,0.4696441536860471,0.4827221747789893,0.5150739622077831,0.5129873342243532,0.5958522510627093,0.5350005859133435,0.6359189721547146,0.684316497799806,0.718979956138867,0.8414389962131997,0.8319146772813678,0.8327283536764536,1.0136010404965183,0.8289793027253526,0.6647527156838412,0.7081185109722778,0.6907673409389792,1.3398138265800592,0.883419396937976,0.9554461234932219,0.8563183675361132,0.6816089213806967,0.7017633536854998,0.6423080441935656,0.6625536252543164,0.5036524513956255,0.7428708243875569,0.6426670667238268,0.8065649995673437,0.6060805117901329,0.8097735515975334,0.7832307396376463,0.7605393265435211,0.847522607709274,0.5008723453332975,0.5292362290067583,0.6054018803369354,0.6859170084991866,0.8773882202746951,1.105805372894487,0.9987743612096746,0.8730881998982329,0.7392750150379442,0.9115065522234579,0.911020734928058,0.663796058632311,0.8403090425818339,0.952373316697471,0.7306777259512482,0.782726136368916,0.982728050322261,1.0319063536289266,0.7816424730162675,0.8184959259304293,0.7403927693216338,0.6906746404285528,0.6324930741598128,0.6184889228903967,0.629277394998294,0.5750632170289192,0.591232036078245,0.5803906639782003,0.615677325381583,0.5385583738992886,0.5601659776875382,0.7686423687723483,0.7070405203215538,0.6897310935743283,0.7282611988440852,1.0613717007377919,0.9404396064405107,0.9142828684709658,0.9808389705759331,1.1507054225256403,1.2184729752312593,0.9415514522000453,0.7870581446330085,0.7009005623099656,1.0134086388498345,0.8906717941207493,0.9236498623270644,0.8976793215331049,0.6832117690561746,0.5190806253905025,0.4095844681513628,0.42388824891747495,0.44287190056616416,0.5089947258278554,0.607610936256776,1.2644008033494003,0.5727396497666848,0.5277517812046797,0.6420834240072881,0.893463194848275,0.4414555572804478,0.5450186715271648,0.6316248593621295,1.7465868985339827,2.411032649353979,2.116937456843802],[0.46993991600466606,0.27851869803182766,0.5983217404168817,0.2831687833894977,0.44303187357019075,0.45912364111323134,0.5106907146754414,0.6786981711877282,0.5315491365740834,0.5122925674335774,0.5288084232760287,0.6572569165962996,0.5891445263806989,0.5091819117045219,0.6382390907869265,0.6251751408075105,0.6044552317196945,0.611533188540984,0.6173404838112846,0.6310688956090338,0.6028284512149935,0.6553038982269774,0.7601399539712048,0.7891201088448803,0.8480081387823148,0.6303927672034049,0.5783327250589545,0.5864485442253246,0.6285800717178146,0.6529899125619578,0.6587241067577274,0.6971817355800854,0.7709888090042263,0.7462109726350948,0.719421385562364,0.6545482397570584,0.7027284638062368,0.6234876968990439,0.5808327301632712,0.7208644937511567,0.8291693452197022,0.604304584739266,0.6483176342489436,0.8352874531695917,1.2577391392240382,2.4756279583484275,2.599594263442343,1.503685548615428,2.975050583044023,3.92170411447096,2.0569504154454052,1.770508779261333,1.4360255265817516,1.121650566650898,1.3765737036227037,0.8997331536526031,0.7077229213730069,0.670806796821606,1.034636135708679,0.8015141136386689,0.6802112642024863,0.7588063021545287,0.7812891959494138,0.7413911806597338,0.6256142681888408,0.6502371797187072,0.8060084565192371,0.7003595429275162,0.8488679492121465,0.7850826200851034,1.045411608655994,1.1848906748840902,1.1003389586316659,0.7932395710339707,0.7719207369702727,0.861636929545348,0.682144698878531,0.718945043535946,0.6927665491576602,0.7129237265105491,0.7579301162946255,0.7205369130237,1.157447539123157,0.8541990221393971,0.6995981440711369,0.7012240912273551,0.6456378415308093,0.7781562232156294,0.6471904810308154,0.774822745188331,0.6868974254726401,0.747908361183625,0.6835276593545743,0.680686075447615,0.651156077084328,0.6939578838661725,0.676385067626827,0.729850043100013,0.7495048866882751,0.9321984983196508,0.8190097521263974,1.0076740114082363,0.8350112262984789,0.9305722330607518,0.9301885107605559,0.8527146870467749,1.0675988336561573,0.6935477984859728,0.6901249944726027,0.9464335518371882,0.6856991475687793,0.6246573990686907,0.576467991807762,0.5690387895636202,0.5286911934239564,0.5027628817371281,0.6626029613069768,0.5317158080537632,0.5731240845789674,0.6482068222180948,0.5514184693005251,0.5371925851224317,0.4798164369600703,0.47138186486868894,0.4933398311708869,0.5701979216618691,0.6277931566680107,0.5692574029850749,0.5982153235141514,0.6710819886920705,0.547602435900753,0.6650621234161874,0.5863289171748054,0.7125963592069146,0.6497136475007175,0.5879257561096658,0.7533317464668078,0.5526437184547579,0.6305034718897448,0.5346018668657058,0.6240170523436152,0.629555248649015,0.5630764230051276,0.5222132983228525,0.5925318865553807,0.5815393410492178,0.5610555461752392,0.5918595934599596,0.619031240296641,0.6476538456750633,0.7670712788113055,0.7645811738889939,1.1109345508637523,1.2460623298100166,0.9993724425785508,0.8805349210488241,0.7471287819930524,0.8127345071946835,0.7114855150691605,0.7587007532973982,0.6234557445747313,0.6525610688176178,0.5704978405535577,0.6045728995624303,0.5856872099623205,0.6476322487110875,0.5576733668762197,0.6758782629731954,0.7468900965941755,0.7200119968357984,0.5623339745929683,0.5154829371567048,0.5834256230827958,0.6642729077492573,0.6902225272603761,0.7850270681818571,0.7555008297432101,1.0459455825434751,0.7523300779972025,0.8969115016447625,0.757873118231183,0.7109807333798357,0.7099456499355766,0.7077181360448107,1.4839053938684574,1.2531814008580864,1.4988507082593174,1.4412933781163906,2.023792596618999,1.153030416674562,1.9147303010865182,2.188530157527644,0.7571430541413747,0.8234405609495042,0.6528171062623179,0.583523282448283,0.5799152181961689,0.517900675877309,0.5214566171506418,0.5531324655637289,0.5227889594271995,0.6138686687858133,0.5538078177573463,0.5061663266443585,0.5492376483496247,0.5396229047082964,0.5850454568945161,0.585687610561246,0.6461524696609879,0.5778225481813596,0.7456483301513841,0.7686548604118745,0.7360087268863452,1.1039881844909607,1.0192477355367786,0.9723549889075912,1.1118217945931212,0.9574961475543124,0.7787277161399145,0.8013034827873619,0.771103093648161,1.484496009912239,0.9559043445489193,1.0622853323136041,0.9256708843386051,0.7936130791494792,0.7772919646337367,0.7599999050972925,0.7230776630601644,0.6501440477493428,0.9126411339660441,0.7411406485390228,0.8947751954244612,0.7420002468984723,0.9465367589850243,0.7768485916562575,0.750907364864645,0.780993207536723,0.5617137903519769,0.6486433264016351,0.754712430311945,0.8406253430880606,1.020848612227463,1.2699482311840962,1.155595553861423,1.037044647420638,0.8826076374015821,1.0766557048909096,1.0845190734042174,0.7838252448963003,0.9651347783406896,1.0729896427642613,0.7904157236685454,0.8620269209706017,1.0643890666923785,1.0403128105640305,0.8215874178050616,0.8797842378492888,0.8023639759870808,0.7765791804161424,0.7448295577238474,0.7204153086372709,0.7242172647071647,0.6569044213280719,0.6951219818311111,0.6678147370821429,0.691026590379146,0.6088922145373626,0.6355481326340692,0.8182808338900042,0.7567689224803965,0.69858483303212,0.7785038616257642,1.0399776415257345,0.9292626684826369,0.9324498917167416,1.0305823470439532,1.1386729745037376,1.2777817138665564,1.0407346307932526,0.8691754319827466,0.8545732695555792,1.1407193459831138,0.9503839527476753,0.9412493757453837,0.8874449450331432,0.6915929207880934,0.5851963326573156,0.5173550557239692,0.5372399502998482,0.5514210665844509,0.6324257389020144,0.6818939221329491,1.3016563021803138,0.6899744625966874,0.5360672439275771,0.7776718983495876,1.1915937768786626,0.4742058238073192,0.46019920564542965,0.5095909563142261,1.2919446257798555,2.1488481503420576,1.681877008418631],[0.4987886161848679,0.42224872884010467,0.6656806538402453,0.3699447298240144,0.5124102789831009,0.47232492145145205,0.46702980300698804,0.6616778582648742,0.49145256535537674,0.46067927217181076,0.4968301965767729,0.6512728205279472,0.5511583448037752,0.45283586350716526,0.6129533189510313,0.5873145611453654,0.5648736889864264,0.5570577688927159,0.5422653724940925,0.5764422781663987,0.5639242949656292,0.6325427197977193,0.6510272555491777,0.7502150691655404,0.7311946578964236,0.5639703494669579,0.5238470278463634,0.5066360977619359,0.5719019653541373,0.6318254238541553,0.6527796510289379,0.7085193276644454,0.8216915681129209,0.7961558930608638,0.7448841973362141,0.6339834257274664,0.6889420195902515,0.5939161471447506,0.5617995443499634,0.6706246703658303,0.791640014573169,0.6021984070869343,0.6369874255872333,0.8584110819095886,1.2537710196072716,2.4713645349492936,2.5466764522549226,1.4357777267278224,2.9933115299553696,3.8832662352530884,2.0051956116104193,1.7565331912198132,1.3996071260259448,1.0741181200939676,1.3252977276382039,0.8292326939357049,0.6757583419823693,0.6797752075257057,1.056289474779757,0.8011586727701931,0.6750757008397735,0.8073471401902064,0.8065911959877436,0.7542619344934149,0.6160574291661355,0.6322810940692551,0.7664402436578298,0.6591049317488528,0.8140579690567802,0.7342110263435381,0.9844432140436951,1.183555310541807,1.1203142687248233,0.7840224460285099,0.7551084240365846,0.8845585005355764,0.6869430624413262,0.7720027142540692,0.7257039191083378,0.7290753394742294,0.7805026975311807,0.7268175754901678,1.2001437357886842,0.8916624895841474,0.6884413958387501,0.6766583407944486,0.6305344645697211,0.7944012793492292,0.6304394088859077,0.8164851444995814,0.7057630004002886,0.7965831941032092,0.7453458250823914,0.7549453587344507,0.6865191313419627,0.748800553935008,0.7145076261135191,0.7695694639716327,0.7884490629095026,0.99225381571956,0.8548273002731913,1.0365313533028517,0.856225745126928,0.9622253449751242,0.9595113220856659,0.8858444885777617,1.1528276439520204,0.7929211922440303,0.7822345746021115,0.9903659557276163,0.726377939154857,0.6280390431885117,0.5542508312895857,0.5221349880075944,0.48150420714135495,0.43725378432744544,0.5678638544511652,0.4772623248577897,0.5349538985090437,0.5670952838692589,0.4831141250649232,0.46519313390053685,0.4195099974186879,0.39845855146964093,0.42011806548771213,0.5373158036291807,0.6169050142266835,0.5864883595455702,0.6308646061224278,0.7162556699807954,0.6299876017440084,0.7658863233877244,0.6622427169642068,0.7687658978572041,0.6844874686290188,0.6056414945395174,0.7841194741074523,0.5730569528204483,0.6147844489561469,0.5135029647599676,0.6255273036624944,0.5823145181816936,0.52081367151664,0.4848740074159631,0.5373000320600994,0.5370342653373996,0.5142728455282106,0.5559691228484694,0.60415195197757,0.6169157538550988,0.7764600305900214,0.7669406678113758,1.1762746337448924,1.2764202575222905,1.0287294556687385,0.9346172502489595,0.7607230741956644,0.840601297044564,0.7154305468772008,0.7689338689613692,0.6058626427814597,0.6273410161268103,0.540443645053282,0.5703398737149339,0.5837049677571701,0.6560487491199033,0.577598290558825,0.7145962808177,0.7933942025504059,0.7648630150593683,0.596520915526964,0.5306455828684629,0.5855882474789404,0.6585694922768729,0.6760245816882902,0.7863461469051475,0.7586384085667075,1.0638188303707794,0.7664637211246436,0.9173551874487136,0.7348619411568497,0.7388191250513628,0.764777605004926,0.7804670826045841,1.508318154364108,1.3353776949588845,1.5488434193868115,1.4797942341931025,2.1356952246909326,1.1777740570116022,1.9147518117164954,2.135500869092935,0.8082861910477581,0.8441739659713382,0.7188022430491509,0.684381260626486,0.6601428175276606,0.649464503079035,0.6594270367784308,0.6849828253446069,0.6941071468144552,0.7619726078772884,0.6930935219710675,0.6695860297749427,0.7163772635564387,0.6974989188853843,0.7202731328344152,0.726805474322381,0.7822538278335693,0.7062899341135027,0.8345991494443351,0.8436477190178964,0.802719375177804,1.107985152530296,1.0834614136019278,1.048776980793039,1.1732509240258662,1.0448171843747396,0.8806655424837742,0.8884898271337835,0.8905207168068522,1.5532267943989932,1.0463509370598703,1.211253722111102,0.9989863419829688,0.9311781636713375,0.9367034596162626,0.9250696565498087,0.8870770364985504,0.8194685381391218,1.0373330663331433,0.8640255122503143,0.99867132410157,0.8800154482485738,1.0751995928120168,0.8872721107664898,0.8794306364715256,0.8669214977138285,0.7241815247499316,0.8004253599515543,0.8751590886786587,0.9682570237532294,1.114370101267317,1.399600298786584,1.242847327888966,1.1291401922196227,1.0385728267181622,1.2180007600411733,1.1828437899834394,0.9216399145225382,1.1058074797306414,1.19692485178773,0.8959448850383379,1.008204899349311,1.2119000454863402,1.09970402497717,0.89066964767026,0.974933348782471,0.8993184427505844,0.9005889805847234,0.9032350010934007,0.8735507438377887,0.8516458972375129,0.8005310424187603,0.8546692218044684,0.7993012851311897,0.8117264987067199,0.7490546392077809,0.7800607632440606,0.9651065510114527,0.8792102347803636,0.8366071251622602,0.9328119147983127,1.1732306606586616,1.0446341221194864,1.0571947050954018,1.1506384211760432,1.2129712956405008,1.409126689772549,1.1288650989026778,0.9537141666276063,0.9311560712793686,1.215366788592009,1.0433046378373974,1.046503161343367,1.0036750377603545,0.8025991458040216,0.6951080673875542,0.6292889656321468,0.5984102146656196,0.6364534324947874,0.7281070445771156,0.8199199336055122,1.3641926667228936,0.7414181386078708,0.6671637511486385,0.8899738576781228,1.1759200389748294,0.554135533279346,0.6576141100522573,0.8592778426020202,1.4980228151689257,2.581053813848914,2.6130127672982018],[0.5150130465624279,0.28215946324234004,0.5676808500426302,0.3020961707525832,0.38137616238147953,0.4226525574204164,0.3511519617465843,0.5430577289338061,0.4115976323270517,0.3879317829035293,0.44770585122010426,0.5818448700247498,0.4811504783749199,0.4009815049043621,0.5966863738844651,0.5472427021127967,0.5204176034586367,0.5445326894863454,0.5647539389654953,0.5582564943574426,0.5820565468714427,0.6319573539023867,0.6165973991578088,0.761182400365667,0.6350638833375682,0.5587224410057665,0.49172295491271406,0.4542527402430239,0.5264137285579361,0.5745047005622222,0.6061979643935854,0.6283611121536977,0.7147302971211617,0.6965653693603067,0.6496764911480338,0.569056097182251,0.6004300815852837,0.5259374285224998,0.4938893562707728,0.5606960266884912,0.7474481545326161,0.5862342679544661,0.618856400244001,0.8425066377884562,1.2498133238462585,2.433952386461119,2.4583583441713386,1.3377805037955828,2.9434093649800226,3.7192250405066565,1.8940093362463344,1.6624364142610109,1.2816752503452336,1.0304737061608278,1.2647488491952157,0.7310155763013872,0.5997678824439694,0.6098858303113296,1.0168792105491486,0.7520806043069824,0.6507803321187706,0.7500965576771956,0.748305686488249,0.759032246070393,0.6034681174586431,0.6014099731093522,0.7450823750066948,0.643746105038892,0.8511387342464646,0.7548442087670957,1.0096026587709257,1.2629548938665938,1.1368458744585095,0.8416916043476944,0.739491993078406,0.9187789660646077,0.6399305524287425,0.7028202092196596,0.6499808913181916,0.6364314449745277,0.6567085291801029,0.6128093818240186,1.210812553639432,0.7844440415081051,0.5918320641851735,0.5747631123008469,0.5416551035906073,0.6806322076597279,0.5720620200974741,0.7109238293211279,0.6326229785723168,0.7687335305740798,0.6831302891810558,0.6767202691008718,0.6219120364753317,0.6870710231509353,0.6616374557243082,0.6718486607528563,0.6891915719751289,0.8729052774573044,0.7121441900416512,0.8979439976920333,0.712072564373354,0.7819784190335212,0.7773428256672474,0.6859492533814793,0.920373720006015,0.5673499048656419,0.5817925141513646,0.8068227175904902,0.5412460716511946,0.46571999224435723,0.42740494266373796,0.43463252397123886,0.41527974871171225,0.3835330044873825,0.5081126388812451,0.42043622978593337,0.527644614793429,0.5479353019818507,0.4587074815742705,0.43133985254162327,0.4172200695541314,0.36846849308364976,0.3703117488646944,0.4538264940629057,0.45645080381472947,0.4473812713984415,0.4580645823086308,0.5257130307353806,0.45101921474807083,0.5489356911059662,0.481733120229483,0.5880397922654789,0.5708713159410898,0.5013457068701935,0.7300999811452633,0.4925624700531454,0.5231419049595485,0.41105441859363256,0.5622392037705848,0.49836848528171557,0.46280563428830296,0.40465194086547235,0.44184778810343867,0.4744880387673905,0.43456182116535624,0.4818735357355432,0.4878117195608724,0.5084812464651386,0.6208025755010697,0.6456832287895777,1.1022080581192464,1.4248698176344916,0.9772576677455026,0.8100849878067312,0.644843397764184,0.677771577232047,0.579064338742077,0.6356508263945593,0.4884205139941324,0.5073206245103246,0.448528383554752,0.45794761469092343,0.5123844086810626,0.5342300765789468,0.47443736520485147,0.6346395828088568,0.7239333176004952,0.7010681988030061,0.5032612906530315,0.43353274762657634,0.4874299057869684,0.5249578307035272,0.5401233904249725,0.6385062157055685,0.6392945072326618,0.9517918829650934,0.6369208243842004,0.7459325499308734,0.6031282497632376,0.5702426421915404,0.5778737260391608,0.5757736529108711,1.4704264932809308,1.4089453438532955,1.6271229633609587,1.5456940472719796,2.1381442096239778,1.089052509099837,1.811425170717754,2.019464633453397,0.6882521590751681,0.8120235531459218,0.6359167191487085,0.5294954997064663,0.5501636508943447,0.4641885918114013,0.4681212588150405,0.4905165844739749,0.4990880213121862,0.5720261331278378,0.486439040531035,0.5011950778030013,0.5513297542957943,0.528823109673387,0.5968040682043684,0.5946082813246434,0.6579274777030361,0.5953061722578984,0.7222719381078958,0.7525520964726536,0.7260364754527964,1.0014888209234365,0.9569347455524497,0.9219133564647433,1.080809189671941,0.9242405743305782,0.7637737857686108,0.7928364208314704,0.7775641797966341,1.5060616890697751,0.9639221739198979,1.0991378505313882,0.9209681261838076,0.8114840911689564,0.8039664645129028,0.8059831939588457,0.7335366928074328,0.6434162234056924,0.9029298147681617,0.7283830694926697,0.8681819835811195,0.7075716741576695,0.9686995853638979,0.7537330258697261,0.7668971792653974,0.8037643834662418,0.5634686792321817,0.616635577062786,0.7017158665966451,0.8259277725629731,0.9987474328088988,1.2340099074187878,1.1398778954800113,0.9997289436294178,0.8718904234442528,1.0663878551272383,1.0076389246592516,0.760729707927916,0.958918056891091,1.0293673040061704,0.7676530721878276,0.8768794609134025,1.0893463780915562,0.9777870332950258,0.8249573929631784,0.9080262886308001,0.8198970734184053,0.7945672203668123,0.7603014478506931,0.7437969976580427,0.7492285145425133,0.6710261977154299,0.7089499341661556,0.6813597901652392,0.701320027520957,0.6097836174563543,0.6450345177286357,0.8443450327966894,0.7601164509055085,0.7031285793664258,0.7988435830032176,1.0649538496543367,0.9379418487882011,0.937381627781233,1.0203122035853458,1.1426465657061395,1.3015886596578559,1.0075045024038785,0.8423310104917611,0.8033258076571586,1.0883687298035982,0.9326034113401034,0.9443980711265215,0.8994887259846401,0.6996277421629494,0.5575643199685587,0.4489693887014837,0.4400017572520513,0.47041585725916035,0.5402065442481766,0.6770165796756207,1.3754166454785781,0.543347905734379,0.537052599430982,0.6756128926948126,0.9926304644495545,0.42546724155800236,0.596236251027494,0.7788894504361463,1.946606492262384,3.2896275478421817,2.9313905084700895],[0.5752825866086578,0.2774023584606228,0.5160812830587005,0.29617429293407715,0.3512773702718541,0.37788643405596467,0.2792758958478721,0.46617194051391225,0.33628515510091556,0.3006634761313462,0.3738709557835201,0.49969422007159575,0.3873099508037935,0.3150580148496979,0.48401015077161025,0.42528466517945596,0.4215025363156683,0.4180495411316554,0.4535548178642185,0.43366668300656147,0.4478881984967446,0.4982390342422269,0.5698253642835677,0.6892802148863116,0.6205653081331296,0.4736591059455365,0.3939036449120345,0.37045517588727384,0.41636672779996714,0.4537281482021063,0.49940542251070696,0.5061895999330497,0.5982922008637581,0.571304154637791,0.5305692007692803,0.44315528390880027,0.46424422493927636,0.39663376767755,0.36654285949209126,0.47084043761492245,0.6525148536504571,0.4566057638047228,0.47278666256208546,0.8209584460654707,1.2370932790729297,2.4727258383803483,2.553914343424625,1.4107019001049874,2.986351303056987,3.7776067783108074,1.951954564541003,1.706624377796801,1.2506272195374708,1.018269580725984,1.2052637841348708,0.6449792859988854,0.5039274014731163,0.5280531140542293,0.9374217473501814,0.6840499095706606,0.5455288306773353,0.6214239622373828,0.6412008332490735,0.6466907825156012,0.4882630746731139,0.48532333046191894,0.6556218070123241,0.5180390065069606,0.7785148516279499,0.6879730006702233,0.9650784733977935,1.1993129786489911,1.057473732489981,0.7522550458052312,0.6589823139782225,0.847896533119369,0.5217189137622308,0.5745171092609995,0.5164062671762727,0.4921603436876899,0.5164608106994091,0.4884919817824335,1.134884751983257,0.6524889798308703,0.5003448292826459,0.45517910987079985,0.40691726017104857,0.5709496191933985,0.45032400301529163,0.5787362946803019,0.506983797756157,0.6896806233417103,0.5592634764111462,0.54698289556613,0.509221178877407,0.5839439109119341,0.565125508912389,0.5686927935510948,0.5770317318412007,0.7958135800751293,0.6039144576080949,0.8062238014835661,0.6053049377343879,0.687789230286427,0.6773359582421945,0.6095321007644464,0.8369005951094152,0.4798225795799848,0.5129877145041111,0.766629860565528,0.4692793204772041,0.3815142952602146,0.32206587733284486,0.3493859216447605,0.32980209827002166,0.30935223369668685,0.4560608009734694,0.3820680149218119,0.4871848103499034,0.4868422717617617,0.4011353842252445,0.3703393502827041,0.3576209731652161,0.2895771892225973,0.2906371616660654,0.36799516936283466,0.3814659649774139,0.3698079879273599,0.3815850787604743,0.4409555699772282,0.3961271314524561,0.4781072586425391,0.41233592878324177,0.521944740837215,0.5028911564916123,0.4425019749073362,0.7010208119019818,0.4450297736901909,0.4931688410804789,0.3774646090473855,0.5652629968124762,0.4950101354776894,0.41932285447875034,0.3470936641845279,0.38624048735587746,0.36936665995391205,0.336327665926305,0.3872315474339377,0.3861206818409198,0.42748723436276154,0.558470780074171,0.5872160995325791,1.0101342526601298,1.463279641430955,0.9858240449939096,0.7351282106800785,0.5420981916308095,0.5868376537709257,0.46088654547792485,0.5378364759127758,0.3987499337512806,0.4041587125637286,0.3593097476023272,0.3524913490133247,0.4539631793531479,0.511576597148271,0.43691714581295943,0.6423246347751576,0.7327616339901996,0.7076539673143031,0.47245222139517506,0.37924213396117334,0.4155380744288954,0.4422014294212758,0.4316668446856381,0.5247370403232398,0.5151129545538585,0.8248851722222823,0.5133773977997845,0.6105432270092757,0.5317036863280286,0.47855751633290267,0.47877219777055974,0.4984775392966303,1.5072578346740302,1.4178451918679493,1.6363249979836196,1.540267003695834,2.113461205093432,1.0495719037688995,1.7344376077568369,1.9258130090196928,0.6697633021729479,0.794033799080541,0.6325088114775587,0.5051231051235772,0.5329411709101832,0.4207955865207864,0.42971241838764546,0.44502571681409286,0.4293798511843311,0.49084454957055795,0.4230428625366279,0.44381100910763877,0.4911910423400629,0.4826626348281735,0.5560037474856602,0.5393078548804761,0.6079222983608411,0.5510633686383325,0.6658391198022882,0.6948728507864678,0.6884972740781325,0.9106470473694893,0.8715195789455178,0.8615755811160041,1.0316990705184366,0.8643016259024986,0.7003817763882215,0.7268359934529183,0.7065377917111602,1.413722774041101,0.8885610874005823,1.0215181277874972,0.866183442279207,0.7319180048886915,0.7349366815534003,0.7040552761386457,0.6777273877674355,0.547091587695419,0.8144077180168388,0.6578869507808713,0.8107568046133754,0.6296047168414851,0.8882692471731108,0.7491815619943945,0.758692479989587,0.824443909936727,0.5168185711989228,0.5452593994457966,0.6285914903000093,0.7443149093671411,0.9238304993970161,1.1365425244599003,1.056908598752594,0.9233283741404587,0.7788352730891228,0.9672627092558836,0.9297860677548174,0.6866967474334611,0.8741669812689671,0.9640076284503539,0.7200444017753554,0.8087917139524681,1.0278612120202093,0.9789131179571317,0.7778278633672869,0.8419000106412176,0.753230368828664,0.7147478387130073,0.6774614213706006,0.6527828006602662,0.661765018870982,0.5979963588142084,0.6291711491931382,0.6060312913290814,0.6366806409856479,0.5580984892206114,0.5841176919418977,0.7868484584410005,0.7210757589979642,0.6877432127070731,0.7409525395531801,1.0647718964001816,0.9356850714047348,0.9252366482700618,0.9997920718396828,1.1565430609267429,1.2652824682336703,0.9728246209816802,0.8091315877050522,0.749668615741993,1.0498314985866504,0.9113819446812184,0.9385783918308434,0.9000584577515164,0.6910241699575399,0.5367958871001403,0.40878687015765214,0.39734237078491125,0.4243959410541126,0.4752671036243977,0.6036356616462328,1.3608265838224685,0.49714440572479174,0.5136246237447006,0.6405099862053572,0.8983283435869527,0.4226728748553723,0.5859613781416457,0.8465402875955186,2.0960454657100223,3.168837837786666,2.721046398401834],[0.653300513494877,0.45447489585992334,0.6024720369384249,0.45451386160320156,0.46394515149582394,0.4744416630596481,0.31765802157100614,0.42551577876438373,0.30671385586543687,0.2923183732540896,0.35030919176183173,0.45439233840172677,0.35214394945255406,0.3021815546579089,0.4599951471288628,0.3987548008191609,0.41301423490652595,0.406463180862466,0.46809406981382634,0.42861889143970927,0.47438769891063987,0.5124565822383348,0.5760408102009005,0.7369463255727584,0.5491824204803548,0.4796916088440229,0.3967988614680661,0.34572182597324597,0.38834397737885795,0.42658371855751015,0.4765374828734666,0.48115084011338227,0.5814258977251386,0.556553990258414,0.4999661240281413,0.4201524911418619,0.44056362590618525,0.379382540323199,0.3562398161585937,0.38425962385496754,0.6260430502565143,0.4829193207693809,0.46821912285780104,0.8937841705041352,1.285554357507728,2.5124021204383626,2.593500280922979,1.4538854878937506,3.03224512551717,3.759247701820342,1.9503745597834987,1.6958096321940213,1.1671499704146373,0.9628643011243934,1.127204330057685,0.5559572885287211,0.5120755971639659,0.5144402880924377,0.9062933216566509,0.6916454061307108,0.5477765590169059,0.6050970574304018,0.6106149279845404,0.6594030615833743,0.5022323698835737,0.477149064634565,0.6666193111370118,0.5090417556673376,0.8147318396151677,0.6653037673073331,0.9452618779444307,1.2074562232611856,1.030236390778909,0.7870783735616919,0.6363847362395217,0.8723235679692978,0.5114677344551334,0.5666521592349485,0.4868576725293097,0.476271912727826,0.48453853163368477,0.4723553187942405,1.1466007205810216,0.5910364597840276,0.5251275430834021,0.4154536841859573,0.38867629847985674,0.5496566886811461,0.4325744542789385,0.5599108033942578,0.4969951684959958,0.6920457309498202,0.5523256540519572,0.5386844682392484,0.4969304383100794,0.5895178371374875,0.5649897729078848,0.5523125527592272,0.5526414715650678,0.7664537853553806,0.5542691463616009,0.7644370762259773,0.5619263529238249,0.6281544931582199,0.6154115965901382,0.5557443817193713,0.8017733143410829,0.47217967107618986,0.5146536768474694,0.7435258953625448,0.4598588093971841,0.3743692857463301,0.3206063784860736,0.3416328137770565,0.3207474866992135,0.3262793518746903,0.4142193366922967,0.4001282688406337,0.5328984990022603,0.4994304807168543,0.4082561508926933,0.3727832654904735,0.3950795653886695,0.3100147321761391,0.3032872367428131,0.4066366810798953,0.40006230318284325,0.39896930766551353,0.41292182333525607,0.4429628518191258,0.46521058720437364,0.5272811063394556,0.4706331769447991,0.5311176280916275,0.5558367827844808,0.4964295574974863,0.7415915173359433,0.4657357616994121,0.4766449950931811,0.3906572537258846,0.5879244036519052,0.5352054106461035,0.45326021082994306,0.3580328985144243,0.36259826183330474,0.35347913232640327,0.3221531375908287,0.3576891293215708,0.34701895052471715,0.3935554501114872,0.5214106256252002,0.5436487140085143,0.98411947251224,1.551341183314535,0.9936675799357699,0.7108056639679106,0.5018032163725623,0.5438427918315122,0.41347994708803665,0.4929911500342241,0.36309658210477946,0.35912606690922166,0.3592380956512022,0.3253621479875337,0.45001918811095165,0.557525182503865,0.5005326594570483,0.7281613587821739,0.8248639124080765,0.7873565386215869,0.5389056198342336,0.42229059718738227,0.407151214226851,0.4191785123265848,0.37742951990678547,0.4628714945566546,0.4668541228918485,0.7575867779679613,0.46186433197221144,0.5424352855584739,0.5005933270586634,0.46090697363934063,0.4781237519358631,0.5169742284114126,1.6017896251704802,1.5362014715425742,1.7010485114680798,1.644724435800588,2.244873905041609,1.128192463284093,1.7088727298276787,1.7527488149548813,0.7528702018325362,0.8707624807825209,0.7189453533689988,0.5818277619089289,0.6182260771920359,0.5118915089547844,0.5321063224993263,0.5387326803680198,0.5050572425856995,0.5139069994783745,0.4883106081759656,0.5381946299006141,0.5449049673594623,0.5245523031558241,0.6592234620818309,0.6221091490061847,0.6241694734142835,0.605549773228064,0.7253580723998975,0.733511774193678,0.7082812817942216,0.9088495394308906,0.9190000769040391,0.9458692128255493,1.0780768671042336,0.9757835664784898,0.7907623095577654,0.8024716178732952,0.7884148334456749,1.4473147856783357,0.9391751348342813,1.0633904111391368,0.8007456251120147,0.7191893669831526,0.7729152148797477,0.7237489100663225,0.7815794656754667,0.5976661621106858,0.8180178637858485,0.6750279673945421,0.8256451786858431,0.6724331119171272,0.9509391382888598,0.8487545060466101,0.8813755620387546,0.9564931431563507,0.6250999386379417,0.5923925976657618,0.6139416292852502,0.7171463244715905,0.8409941991024659,1.0983974949861837,0.9857447826516276,0.8351581181050749,0.7491866638359603,0.9438541161340139,0.8841929841452644,0.6747111765387027,0.8626837134603145,0.9466832372728758,0.7219651375515002,0.8156740488315899,1.036754177032568,0.980362366120916,0.7914491968484222,0.8696544004995941,0.7773933798212883,0.739656486777097,0.6890786949558045,0.6709750781024936,0.7095748435562479,0.6418077195922303,0.6683399624069841,0.6644369667958675,0.7070201890331739,0.6478984592802526,0.6691700876957032,0.8773478791610285,0.8384107703666456,0.8256308934473146,0.8634481460991661,1.2203421203121119,1.0881916392194921,1.085115964386452,1.1712442550605644,1.3015501946911014,1.4220882184080226,1.1141251008955833,0.9306826052878604,0.8610172273383925,1.1786626635717474,1.0685206319777474,1.1197342810473179,1.0567534347413974,0.8275766228881046,0.6486470106329026,0.4983997765384311,0.46667625068610724,0.48613100556604955,0.48981293576728824,0.6266156559559379,1.419565805414356,0.5106174687941296,0.5541440303388803,0.6562955582642328,0.835027228360418,0.4767474088059066,0.6476326028776046,0.9050684836234416,2.03194029381129,3.1677035347911944,2.822396023676675],[0.5724023170885787,0.2908926783434655,0.44801169619844894,0.3302313622865426,0.3779188843683277,0.39871520851441394,0.24481139016430375,0.41019220996559996,0.30607508757590934,0.2871462920317087,0.3442952213626166,0.435954503168939,0.34295718378693785,0.31755921616047433,0.46840877117571106,0.39438671959782434,0.4182200919723978,0.4221270484878805,0.4977654854808143,0.4613827226286721,0.5240308193011276,0.5508820226484575,0.6161883439491418,0.8005759466439568,0.5505645291658384,0.5203283774722234,0.4310585305259918,0.35798663418604143,0.3985365078798782,0.4273834868351229,0.47445512245753424,0.4588280102801852,0.5531568209705032,0.5377333989270664,0.4702474908735544,0.42188252721686725,0.4398597424164147,0.3913729217624639,0.3617010372526657,0.4079999365093882,0.6407435823069518,0.518117847299664,0.5018430275636024,0.8983563787224654,1.2970493701093664,2.5119827434129713,2.565098557218515,1.4097485871248843,3.015532536860482,3.6601737078422913,1.9330025405401154,1.6785632883993575,1.1838169753007488,1.0168852451176775,1.118487790306258,0.5518357474489958,0.5237777218600229,0.5375861878943238,0.8913653966382193,0.7249770347389435,0.5766344606661022,0.6122844563062764,0.6127906456111142,0.681562588726286,0.5367233256492349,0.49837535991442167,0.6900346059840485,0.5246813751874212,0.8343550080912682,0.6776353898626525,0.9529773511661332,1.2067985617627874,1.0394024532208728,0.8065723594209268,0.6505902912274885,0.8855957220115778,0.529061057123441,0.5639969813833924,0.47708671091356797,0.4790526952352488,0.4880739802662086,0.45036644294591166,1.1861736005632812,0.561635024395434,0.5537073426872771,0.40928927315710084,0.3955620198709607,0.5263386020323412,0.4309229889118627,0.5480087558086038,0.49576428223848307,0.6901373941712885,0.5478143734831368,0.5192284784971453,0.4861480902401363,0.5736592045761167,0.5470350242480018,0.5272782799351774,0.5194930139396109,0.7533542081048931,0.5237896512898872,0.7237045088473524,0.5414534641831527,0.6081599212712507,0.5914754633552497,0.5283423926302828,0.7260703437210505,0.4095742812313431,0.4427767111064515,0.723284103260871,0.4051755495314536,0.32718655061535357,0.27885553795283896,0.320916792186681,0.32004910807640774,0.3352983785052285,0.4171763001737621,0.4195584335714852,0.5668150669942202,0.5132071711896776,0.42537155110067865,0.39607234028415156,0.42395766867307394,0.321378491065384,0.2854676184986663,0.35095033824730926,0.32854747476946666,0.33931356031567705,0.32958125365667024,0.3874105124396598,0.3678887767625855,0.4246056522195205,0.3832308274330007,0.4805181513982242,0.4861697358795534,0.4431892523390448,0.6977484519355507,0.42681513407172517,0.45497880715495576,0.37210840439711385,0.6016308239909085,0.5517063447979702,0.45941753282672215,0.3582325593088077,0.36023005785778806,0.3645944549128228,0.32198816180195533,0.3533480497631758,0.34090781357618544,0.3854893342698674,0.5109130990581182,0.5602200168972813,0.978268985642913,1.7475576780868394,1.0844007693239022,0.7172874422514056,0.4949132261185036,0.5454829351012657,0.4065590040938354,0.4799948285383576,0.3689638917095534,0.35585788064432583,0.33873830556445594,0.3104204634715566,0.4166239151781721,0.5124228709740357,0.44587244307226087,0.6837387319561353,0.7621071973293072,0.7348456101896856,0.48859315994263686,0.3763564696598958,0.37506671751196796,0.3741394261741107,0.3556704560833934,0.46410534243874685,0.4661796038407019,0.7529040652068021,0.4500880528926501,0.5338980459244138,0.4962374308064992,0.4153309972042006,0.42393609879078115,0.4664553445036143,1.4963573667235672,1.5584417546179559,1.738489337667405,1.6789988652068808,2.2279944770836844,1.1214702876202425,1.703943814246186,1.7386883483284088,0.7007140530211176,0.8168262128175042,0.6574198305701909,0.5094715418623441,0.5295123539153257,0.3991379496873524,0.40743179152315445,0.43166606195664736,0.373420017740568,0.4282646738630989,0.37039925060292633,0.3973543625774188,0.4466467306476599,0.44972712760328176,0.5144757631984466,0.49675342113420556,0.5761937128974856,0.5267276625763035,0.6272765701378694,0.6707475746249445,0.6794170368789463,0.8191656197466024,0.8271934603537711,0.8115207417371181,1.0108354580572838,0.8177669093401481,0.6573929251509238,0.701114477819386,0.6776184220417147,1.3686275795663099,0.8733845935202089,0.9979811332726071,0.8542785706422215,0.6970736144318593,0.7030808337316667,0.6774539272397812,0.6411395169530738,0.48158003113018977,0.7592350271871847,0.6133844520813772,0.7375279310532343,0.5487869642523447,0.8655779244086392,0.7241072216489547,0.7487591568315098,0.8681771517639595,0.4718142675439227,0.5025398849128934,0.5897511953376658,0.7031029167050293,0.8962575137269408,1.0996386324688503,1.0352873204934796,0.8753512669604503,0.7426921796445946,0.9350286362526461,0.8747036058462752,0.6367637439591071,0.8411159972325222,0.9258952633116333,0.6937000565974386,0.7813992650065831,1.0026144993246093,0.9585977039125964,0.7709893364595833,0.837354787971637,0.7349549902812725,0.6829863791347105,0.6311698705160125,0.610797406839524,0.6237226437167436,0.5555094892574495,0.5762860795907724,0.5593583444235422,0.5949067800426774,0.5113228902953858,0.5348371442819557,0.7479105286792527,0.683883760971254,0.6698297500587013,0.6907790559641098,1.0622598374445678,0.9264982053295994,0.901961358752873,1.0025182344588874,1.1917046303758416,1.2324961112588508,0.924101994132993,0.7647137859598501,0.6771166925606602,0.9663788831552464,0.8598798277796358,0.9195640679568077,0.8910201504267943,0.673021159852314,0.5095465074407273,0.3760881703019786,0.3783116207646451,0.36708099096188024,0.4152129358429576,0.5689764162935678,1.430106000828963,0.44534498828825336,0.4908950271109408,0.6357328503611702,0.7915691642149763,0.4582218014954221,0.6124456994866367,1.0287332488807122,2.390803357764221,3.5572117808318984,3.4195359136465373],[0.5574540537134554,0.2991110824392693,0.43641948543329545,0.3580646671560504,0.38541888315913525,0.39739768194521174,0.23401704571498141,0.3854718390981783,0.28536317650601845,0.2567655571587375,0.3113974652082341,0.4023941524217976,0.30565763783617844,0.28018681544906043,0.42270540877112184,0.35048883811435544,0.39294316323985823,0.3831756237791424,0.45952733823914227,0.42224605160711826,0.4729720665295359,0.5190819333437457,0.5776226980366392,0.7443735371945257,0.5552339266141094,0.48594190439135115,0.3910551292849031,0.3331767428959297,0.37017054438748836,0.3896319682488379,0.43997692681679856,0.4165671486161645,0.503827007649492,0.4881995474706123,0.43242913570273783,0.3801297090498129,0.39239063757460807,0.35315472327661945,0.3280453484118802,0.394470125518896,0.6370974276146646,0.4759931497935614,0.4697066691369756,0.8960637370155867,1.3055278554608736,2.519723548477834,2.60153076518259,1.452579116606084,3.022302751884504,3.7146980212398777,1.9687893349788015,1.7129495442436384,1.1979680204997198,1.0077144067301658,1.1059036719839892,0.5526410716501468,0.5066160986693695,0.5287470978186248,0.8940335927939155,0.7166046813474614,0.5429628502376546,0.5813033752737632,0.5822996420125256,0.6247987613463887,0.4865068296014118,0.46216944685518685,0.6589267704570878,0.48257790507831694,0.7958070413061595,0.6714175465236425,0.9465418550728251,1.1816852829057165,1.0176390113551097,0.7497288479221216,0.6217887469578199,0.8327009099117001,0.48429837375857515,0.5143210943198171,0.43742528524320984,0.4348266075144088,0.4387718284076149,0.4137380384403715,1.1369769976560786,0.5171732726867639,0.5429609722295262,0.37296006463899695,0.35152767141460123,0.48965266417441233,0.38716628728016195,0.5047180270078337,0.4493126043525359,0.6610116893333355,0.5033952227043508,0.47051420287271734,0.443747387654961,0.5379842236876348,0.5189923038417468,0.48416035990281503,0.47119755574461286,0.6901173320610573,0.47445339553022176,0.6861576377791655,0.48385139552365264,0.5663729587781425,0.5576848341325261,0.502918902078107,0.6973135881888567,0.40321730249114873,0.43963498295808184,0.7283217786615431,0.3982444685004058,0.30324893798125685,0.2582614674336798,0.30879422179033245,0.2916038228685841,0.3076206958694669,0.40252536393383065,0.3859747548617577,0.5192856419516583,0.47550367032730956,0.3885480471423562,0.35520913544092275,0.3791668507654434,0.2920342794592338,0.2737758627600078,0.35312417974645477,0.3274029558898031,0.33551472995274156,0.3239147041580394,0.37883861330181795,0.3665895435555863,0.41791817075800775,0.38187696646787606,0.46768767365158015,0.4845501105745542,0.44054296822718925,0.6972094959889945,0.42656781098911273,0.4569284981742369,0.36082408345509287,0.5822369944462905,0.5247713782596205,0.43092847536392637,0.3318376106255064,0.34984611061215726,0.3375357119261796,0.2975016599715066,0.3260949061304231,0.31093755071822704,0.3669506550721407,0.48060786010325707,0.527647003458011,0.9043476663979356,1.6055716153619157,1.0370253473253845,0.6502122775800897,0.44613706905269057,0.49736127603872576,0.3642631805816111,0.44659630833632374,0.34771019254924035,0.33626442600772377,0.3182109133588407,0.286182950612827,0.4115025372094977,0.5053424503762443,0.43844144923714445,0.6747505554774921,0.7563107222379986,0.7263658668067773,0.48520488333490475,0.36863066054518623,0.3700472522090497,0.3621099155390999,0.3298305721070369,0.4345630763137608,0.43206929445777004,0.7164464758630037,0.41701447883644877,0.5005261135815534,0.48349385623422664,0.39487006165888855,0.40788929855920575,0.46090882353501766,1.5351232854297379,1.5606177851365288,1.7518235682875236,1.6760887308588506,2.2083428536928156,1.114707127831195,1.6875047173068773,1.723695391096355,0.7184934448375053,0.8243256154066133,0.6679015166614174,0.5083041152834992,0.5324780086068717,0.4009178976824547,0.413721065304978,0.4319572210815498,0.3626951609168936,0.40018403409757214,0.35900405981025785,0.3950711831893559,0.42663818137693443,0.43631928095081995,0.515137086539756,0.4851189970186005,0.549408789388329,0.5246937518863567,0.6228145743886329,0.6564468160386114,0.6762542371929946,0.8207438082348851,0.8094706880750495,0.8031015175827243,0.986722572867379,0.8018405342366424,0.6398838043519439,0.677517756600495,0.6448405589965319,1.321878402818695,0.8548969269448596,0.971441917542331,0.8395297630786244,0.6719579536553648,0.6830774994587673,0.6608739502706206,0.6328600100852882,0.46077322714971947,0.7256248756288413,0.6010893740298493,0.714605852066089,0.5312315489088467,0.8676930101663429,0.7119542140722848,0.7497143266279883,0.8834167340070186,0.4760902208461382,0.5010023403413201,0.5781455324032095,0.6722859751164311,0.8661127549493167,1.0586808167788258,1.0020269790460292,0.8420649940922298,0.6971979929965498,0.8758756112409533,0.8335124181945128,0.5969761117512566,0.7782586562019382,0.8691165956255846,0.65132990541113,0.7224041088099444,0.9315607139035602,0.918965837239509,0.7311574870341306,0.7769043750742464,0.6870892172856348,0.6284307521901802,0.5837567150035182,0.5647298587724021,0.5748574527466493,0.5253274210821196,0.5436448569525101,0.5314669766366548,0.572757273207796,0.5002763088452647,0.520996608183526,0.7272803118831179,0.6775745790838672,0.6697593025055882,0.6783554156334651,1.046521548423777,0.9190500917875346,0.8911580779550109,0.9883768861221055,1.1964742177055743,1.1842915279289266,0.9045395960583803,0.7575623465709321,0.6725004225258742,0.9543920403013891,0.8403128282430145,0.8942852131124298,0.8807834664513211,0.6727519414900441,0.5151033750163034,0.37533742949029114,0.3801003605876616,0.35844978609373285,0.40405887560822007,0.5426884300641122,1.414282459131394,0.44271735897427056,0.47635621868846956,0.6201751875238948,0.7589686500185194,0.47718348859160487,0.6309344807189575,1.0839690836837448,2.506949247214422,3.519437410013885,3.503351683122792],[0.5438267337560929,0.3670938563554832,0.4117884974727513,0.37679678882203965,0.39631573468321646,0.3818205295509854,0.26656963574253023,0.3631013852066876,0.32830991047814734,0.2773488929764046,0.31757867604989604,0.3905529742088959,0.299282749946923,0.30291427875785015,0.4044729788025986,0.3493758464832539,0.40619118832647094,0.39554594643890467,0.49591490502069785,0.45044308582958226,0.5254738188218826,0.5601592638219894,0.647868987513346,0.8161857092142324,0.5874505018789369,0.5403595636413758,0.4300386075249057,0.3691113967039936,0.38233653684924657,0.3788030763175579,0.44493059215113645,0.39733861319809355,0.4959139720012165,0.4805649910830071,0.4089299046399039,0.3801148982699541,0.37856383163327667,0.37338202940061366,0.3474921107681151,0.42281236708731623,0.6514259731726623,0.4987994252993552,0.5101673421535522,0.9485832024533875,1.3492406697680586,2.554604205446553,2.6502770077568507,1.4929975136394131,3.0420351697170127,3.6629948306549913,2.0081972626677267,1.7391497658731032,1.218334457810519,1.0633729036354576,1.0858190961464347,0.5771854278825145,0.5545848889762454,0.5988689813377787,0.9012705169257805,0.7817250812404807,0.5841554301275318,0.6030501504593673,0.5940400150370456,0.6449162528206619,0.5444988327904772,0.49597206645838576,0.6905889556189331,0.5011174073818949,0.8220369900612277,0.7088102328305341,0.940568129700157,1.1677464029472175,1.0184554390837008,0.7755155227479216,0.6474741971925214,0.8655357012516477,0.5081143217203674,0.5217514009392485,0.43217515653208183,0.4439237989315815,0.43129235941089195,0.4168703408178897,1.135760383326054,0.48716619281731693,0.6405390347607077,0.373409279561387,0.37148274948048965,0.4642751804721713,0.3935534571076485,0.48673221459191857,0.46855074936740265,0.704594041443601,0.5238252576332686,0.4738078585672101,0.4492486078202431,0.5603891516188064,0.5278375503008949,0.47113151149615873,0.4345027996480552,0.6538832297856569,0.42587658495791536,0.6376621982915742,0.4518171912949288,0.5137694210208017,0.5100601257181385,0.492806439970759,0.6443258885082924,0.4073336513193504,0.43732331893652704,0.7058063559499995,0.37748770499515044,0.3116680145550857,0.2670132559313883,0.3113576484281621,0.32862835745898994,0.33203181022725076,0.42227610724071935,0.42115518424960985,0.580866744202396,0.49717123958719406,0.4304243865175619,0.39360313745525394,0.42359802671925195,0.3097639161747803,0.2824690988629316,0.335365057370599,0.3239290057995379,0.33830517428628853,0.32265562909849216,0.3673365740310384,0.36169684905898225,0.3959751802231027,0.37133268798004826,0.4608864029243366,0.4601070148077465,0.4372835205715364,0.6903978637501538,0.42316660621688446,0.4329567898614774,0.3710253480278659,0.6122062157702252,0.583496441576383,0.47765810036474915,0.36435353438116436,0.3688507862070978,0.3621597309595971,0.31005167833366654,0.34228923469203043,0.3069940587716993,0.3601762772936603,0.4601038594248961,0.5349043389576409,0.840482216171761,1.6596505299188868,1.0999768624088546,0.6245265954925333,0.42956499032682116,0.4662493237617194,0.34306803425754034,0.4112398461575734,0.34727615026912523,0.3423651077750066,0.33701099228219517,0.3224293173421398,0.4216341936430564,0.5159468619206656,0.4789529624331338,0.7192670897647997,0.784451179155023,0.7527010192407674,0.5156709473860815,0.3861427207720754,0.36946515404932356,0.3585110127389971,0.323882483983618,0.41115636752075796,0.41293310724669,0.667206245534827,0.4020348863200856,0.45345127135976593,0.48639417743767344,0.36385280929932823,0.3905069960246289,0.47790052550663253,1.5113210834728192,1.6305074400392658,1.8074321081003255,1.7621091088794412,2.2356725696570323,1.1957923948285085,1.689665357646802,1.6245732789810332,0.7634540015683879,0.8293450898793792,0.6828025768736675,0.5295761010046368,0.5164968056465691,0.4258778653321155,0.4343617750843682,0.45744985728146026,0.3695439811609665,0.4002899232015809,0.3700754238581043,0.39536857899024336,0.4207801714923348,0.44337105480520705,0.5003875343735534,0.4893580291023917,0.5546249626132892,0.5495896247731085,0.6286703635640226,0.6583833358769734,0.6931491577389477,0.8003913828503613,0.7963787000763871,0.7637239841121645,0.9905036857757084,0.737902409315767,0.6179497438443603,0.6623378885654158,0.6325391251902033,1.2546228164187643,0.8347434393845353,0.9608553160406651,0.8572753465832847,0.6705764764278593,0.6836865184617763,0.6519943796877933,0.6234420105757617,0.4513520406122864,0.6839445081282689,0.6060333987228029,0.7074413056231394,0.5038444039902379,0.8479422454920152,0.7327848795141526,0.7475890066989905,0.9376447846996206,0.4769685838756111,0.5361393614611577,0.575861499139767,0.651760225790496,0.8501716200293037,1.0130358558024877,0.9946185627004982,0.816019547767235,0.680078377249247,0.8492182298817907,0.7859038257998834,0.59108172165885,0.7483048258841126,0.8395925843294861,0.6516226901112604,0.6967185405195454,0.8879261205745933,0.8923073983289362,0.7230791920276244,0.7519382829005998,0.6753853470446998,0.6081605965652919,0.5743546788727958,0.564973322053768,0.5617565340798152,0.5227222047463964,0.5348936272979932,0.5163721107262761,0.5591743914720506,0.48469624202800843,0.5093778348399048,0.7092191958709035,0.6427032258241722,0.6507213290861273,0.6605467038828647,1.016135352532124,0.8856121412139082,0.8370750338586272,0.981404216444587,1.2099234809384063,1.0880540559788756,0.8177950812325635,0.7004615159541238,0.6111808470923297,0.8388036523647422,0.7621038957058323,0.833574358664428,0.8445041146424455,0.6318018626008723,0.4944490198265969,0.39153583468624037,0.38890813591712786,0.3585599577148844,0.4046322219815786,0.5209286017438148,1.4077813003573718,0.4527129583400608,0.483339105805906,0.6289270647706612,0.7108226059113775,0.5389219146840379,0.6909624554205588,1.2148873024903835,2.708430432736816,3.6883414664992116,4.018640904074609],[0.4891172237635135,0.35862233658752185,0.36213771746580076,0.32800362175044584,0.3629902240357498,0.3017268065139392,0.18436697334585953,0.2876542915665461,0.31254954217742514,0.23904299165319182,0.28572988356054607,0.36182950696463856,0.26163047084462154,0.2928039496702097,0.3809349545877497,0.32645110465910576,0.36740776675774556,0.3700350395548873,0.48866125259700943,0.4288741179869136,0.5021530678512375,0.5543841644940085,0.6636853503686199,0.8284975478593412,0.5929410494440543,0.5375495416189259,0.4300622300866776,0.34380722196685337,0.338563391112003,0.33118341261283224,0.42740388812408436,0.3569802847486491,0.4558377273412148,0.44027789021626795,0.37414347977847934,0.340387146940708,0.3342099728594132,0.3454539225572523,0.33450712164465835,0.44594177655571804,0.678188610368668,0.5286729472478422,0.5642796562316709,1.0613885057420864,1.4798198171637182,2.675545839324974,2.8630812759048423,1.684951458841814,3.12535909910808,3.755622595431543,2.1450123870554165,1.834623400346,1.2830821034685003,1.0679002150513857,1.0349876759737306,0.6170126488329686,0.6181860255898117,0.6508753431236927,0.9078872648391423,0.8477139660050549,0.5965520726526906,0.5968938369396104,0.5646726239272379,0.6400449269241414,0.5506296064347307,0.47840696536160293,0.6628680730352706,0.46076222899180613,0.7883584135496651,0.7266488073434049,0.9354374974677838,1.1491150334984668,0.9947973293987716,0.7721588427053231,0.6326019305012794,0.8611166508581055,0.48722263283236555,0.4939448626170594,0.4065208361093679,0.42171498448143613,0.35993575836268393,0.38837427259985874,1.0658219642238027,0.44521442290442864,0.7041112726825512,0.3280354873137806,0.3224594906412321,0.4338449897842565,0.3564500726708512,0.4769950365634,0.45012391170481575,0.7219627441578167,0.5367940502337009,0.4547986168270858,0.42776571158571475,0.5493001134659278,0.5150050783667979,0.44470329602170894,0.40918742095598104,0.6188778217738092,0.39810315513795846,0.5919846083114881,0.38063237511816755,0.4602056532243155,0.45423920849419086,0.4497209446121613,0.6009821635769526,0.3985518807825035,0.4086082521236776,0.6964925160769982,0.33377789154937815,0.24754597139695883,0.21032215418676864,0.2556561480396562,0.2667762575036221,0.2839550669308677,0.3869629445250978,0.4120754316359497,0.5865421034168713,0.4651076769227986,0.4235320337514162,0.37251404004614475,0.40862735680046497,0.26200733242413715,0.2321453714717302,0.29800746905397746,0.25841760015558335,0.28614014684766054,0.28771346724579544,0.34000833902068767,0.3430887401450042,0.36906171072701893,0.3571212343323026,0.42448934028654584,0.4508457871217591,0.4322194258476975,0.6793280267127145,0.40703363729505776,0.3874779414394065,0.34775472780111283,0.61560753528457,0.6044464793125386,0.4704979674039842,0.3449644378887203,0.36172089357046083,0.3310731130121381,0.2773358197698942,0.299990051564472,0.2525816701827745,0.3354093541733493,0.417760059917218,0.5065411676268607,0.7743352213055693,1.5748759601770401,1.08909816803868,0.5681868122478984,0.391253766053246,0.42234738372258,0.3076570903194963,0.3585800091184949,0.3122773738237229,0.3180581517235724,0.3138224022875004,0.30423898109047964,0.4041278863988149,0.5513424785161488,0.4874563142405829,0.7555376082757825,0.8233785249677522,0.761900975879008,0.5105470156657946,0.3680898678950179,0.34174943953171516,0.33926752070019073,0.27759355164072214,0.3650645167143308,0.38082943161875665,0.6002893234334239,0.35738548139870896,0.3853909793361642,0.4750157260193765,0.3235454683056169,0.3698527936790294,0.5020147612734093,1.592048502519581,1.6817287095288294,1.8535697766381136,1.8129864393532595,2.2516268422200456,1.2594240493666868,1.6492271759881805,1.4700949659180953,0.8726989671227762,0.8856825693004491,0.7383258470600854,0.5923121803340311,0.5201136631662424,0.41970998575277063,0.42073588611684526,0.43008337922780077,0.30970800390196235,0.341303232090541,0.3126278701624891,0.3458875198860314,0.3722608046138092,0.4079312806289594,0.4496416499171397,0.4459627786252738,0.5296665948259136,0.5388778484272349,0.6163224313120583,0.6623838829847022,0.7135800082645763,0.7843456650813482,0.82068800660097,0.7795714782709231,0.9980344238351547,0.7272283409725481,0.5901179101597808,0.6543680588369577,0.6126612719147291,1.2082257723580916,0.8289105837647538,0.9148294325398837,0.8369486870775684,0.6122881925950923,0.6298489132627735,0.6028887287414403,0.5936297106777821,0.4125645815800455,0.6295696803066432,0.5950220774880643,0.695696161783254,0.477258800147483,0.8492030282482667,0.7766226992361764,0.7447802385027453,0.9609121622741469,0.4701163060140886,0.5278808870297292,0.5418785137951273,0.59831159457391,0.8115261381411928,0.9728346357765795,0.9556299129058401,0.7664604323065862,0.6306435272833548,0.7909559910719569,0.7410522653400181,0.533796702861295,0.6926887439792094,0.7966176902188087,0.6170665653966515,0.667054688123477,0.8674675234538134,0.92758425243138,0.7246493998866816,0.7452412235411212,0.6576838693032842,0.5761957182459645,0.5194330507546588,0.5174049878721262,0.528679688371354,0.4915151911278602,0.48727176650183995,0.4882839953666771,0.5378384067277951,0.4532252070588148,0.48327480706901843,0.7110426981956204,0.6165830798056285,0.6434325732745328,0.6608854634223562,1.0177112104707262,0.8792185049317351,0.8110254154998577,1.0152365803324181,1.2402042839158516,1.0374046790584344,0.7752781996129912,0.667167523824454,0.5740150504679359,0.77409432524347,0.7004501170694643,0.7997943029232905,0.8199230978255215,0.6086446637435332,0.45108219018255724,0.3560938289321767,0.36071542420769637,0.29617506824804923,0.35099670554173223,0.45779434242123035,1.3237678171926979,0.4328539308037299,0.4380953127000331,0.5964607927084432,0.6988489111576159,0.49116163678703856,0.6683539252910101,1.0648100229105129,2.550642389268111,3.403165852770111,3.7869066539949685],[0.4970002976823884,0.4224924921073634,0.4682569112441445,0.3708066297783158,0.4017260355631143,0.34797834238446745,0.25706814602822015,0.2981610323991298,0.35370306957420417,0.2893743301855601,0.302637046873098,0.38340791359484044,0.29243977142206456,0.3111600067601378,0.37333648908763417,0.34539365933990074,0.39099683459822016,0.36133461672822675,0.48461508908966255,0.4308388119599115,0.48905991555464423,0.5543871300205935,0.6574788825987526,0.815333127762349,0.6018461001956689,0.5381399521187333,0.4569458810315025,0.36853270059469284,0.3530956838043031,0.35066711642290815,0.41519947846646726,0.3674982384023751,0.44349556051680683,0.4187360126654931,0.3699229757575592,0.3482873398401747,0.3607382260745822,0.3849886146582556,0.375695603475323,0.4869956146855855,0.6957303136218155,0.5485576382503633,0.5972931884654701,1.081382800319135,1.4813536009489285,2.6683055466029266,2.830940025132825,1.6757419357832082,3.125651867967547,3.7081477482300316,2.15528552141471,1.8301348301676856,1.3087992359451102,1.09627115728808,1.059647593625757,0.6646582307104238,0.6497512522153769,0.7117993895779842,0.9467630217933737,0.8641064958214175,0.6037361285153245,0.5944820927260327,0.555397424335147,0.6146589954676285,0.5494097757160517,0.4798381177144874,0.6595749818050278,0.43615014476759634,0.7625587288119262,0.7231282620609322,0.9239091454096894,1.12482877309308,0.9697657398614085,0.7392378039409372,0.6031061227256281,0.8411188658708172,0.46154021263175526,0.46325571148944433,0.3929118283756234,0.4308706719708314,0.3839853899837662,0.43901986637019336,1.104995997452977,0.4962030456111607,0.7731945470353877,0.38659247522432477,0.3632851444831625,0.4290313452824358,0.36303710928251814,0.45116393847055497,0.43185792366230213,0.7206204094972106,0.5220884300306974,0.43609666509215356,0.4114195710857298,0.5300707576315671,0.5170296165614091,0.44222632787836785,0.408539977986241,0.5848295316276029,0.38640951747527136,0.5765400821148675,0.4008286829545851,0.4470232815988096,0.45462971864288193,0.4509607635121645,0.5546309628740389,0.43478157452885247,0.4287905780415957,0.6822269624322269,0.3479611432619979,0.3091331884809153,0.29325922852472774,0.319486191750442,0.3280636367037555,0.34738630662860276,0.4118250860174661,0.4583194124483865,0.6046100967590856,0.46109355823617854,0.4336051258622201,0.3928962178784171,0.44565469084317666,0.31287369383733277,0.29715689536758233,0.3312786402060325,0.29735720982410857,0.3331219973162631,0.3225711971456572,0.38745896699489446,0.3821507294267975,0.3981389098713544,0.39893259814426274,0.4625543500725242,0.4732844133105733,0.4629694965374094,0.6630028645362853,0.4482307124190373,0.4426228749900542,0.41762208844058485,0.6673984583171738,0.6404929182675076,0.5057563853127302,0.40145554246318343,0.4101030971087295,0.3856647715509006,0.34028418848782954,0.34600242180559315,0.3145702990174504,0.3653438792042555,0.42539955441251676,0.5091615612001209,0.695071267381649,1.481552246197515,1.0945555861393468,0.5249251440475377,0.3845922071179721,0.40856806986539795,0.33225885234758185,0.37756613822925683,0.38191794636532506,0.37806059841540424,0.3745350740714153,0.36083430827995844,0.4548848299705693,0.5614503885307739,0.5140494036646215,0.7377201945546022,0.7872514101420712,0.7460691291523791,0.533524336279021,0.4201177657854013,0.40168743640589977,0.3913725166538774,0.34840395297531607,0.4062721291406307,0.43120785628254144,0.6054799433420569,0.4081699521439368,0.42214048411220045,0.5300738916790672,0.3762535678158617,0.4336059341481064,0.5774337649734973,1.5582805276678084,1.7368781824913206,1.8938062959042743,1.8544587427784343,2.248455697876038,1.292638334105647,1.6790259716683675,1.4259518662385082,0.8832371263139194,0.8941864602627813,0.7434305006453209,0.6069996556745567,0.5360196339957453,0.4402299380739918,0.4323507755477791,0.45582256290366857,0.34814725656172973,0.36846301270151266,0.34318360601761605,0.3725044592732704,0.382238014501988,0.4233967902794127,0.4804615197124025,0.46187135548350355,0.5158106136765819,0.5637252309316177,0.6368038949090317,0.6540981625292341,0.7056007091993586,0.8150373917660925,0.8193200439197206,0.779602661892969,0.9697517128815988,0.6996393184433135,0.5726940370798494,0.6295226392136362,0.5804366147613256,1.1576826372199702,0.80709007944576,0.9029996753990813,0.8398258029261765,0.6184490009564259,0.6298949990035011,0.6217884850138686,0.5858308506417564,0.4382945998224861,0.603577830868774,0.5706939622215385,0.6378496235372972,0.44977060802966423,0.9220866475467723,0.7540298980533567,0.7351675813396975,0.9673603952579213,0.4723541564354884,0.5493723925739183,0.5715088310811302,0.6127605733163644,0.8274594340094965,0.9457452525674443,0.9608611635376975,0.7520998397792351,0.6157110418395625,0.745089663977113,0.6937336321901132,0.5102175452496336,0.614243103541112,0.7072853546097508,0.558830616037699,0.5887852242120407,0.7707439293387978,0.8523653380645668,0.6873689767882171,0.6844930902483858,0.6155120772907269,0.528285881023088,0.49187385116484167,0.49406254971934405,0.4986032277074959,0.477549111248847,0.48228959785182707,0.47470594212660433,0.5231882563102952,0.4560339548439277,0.4975576941011402,0.6896724256569141,0.6180148543059659,0.639838844589491,0.6399016840860048,0.9714254344382235,0.843617723762576,0.7836005469471168,1.0467596098831986,1.285154180359685,0.9390159725301995,0.7391001644515984,0.6608629844817864,0.5967411964876517,0.7769069223885978,0.6438804658620654,0.7088054471099245,0.7879700793426867,0.5806876711780709,0.4546731564861314,0.37485397879972965,0.3785764738099546,0.3307501807854048,0.35648437886509127,0.4429055679498218,1.3011447474285733,0.43838555937925616,0.4478825236780481,0.6248819693543074,0.6922287761498429,0.5602493672280386,0.7596856539536719,1.257889556344548,2.770078149229507,3.6380286757537568,4.438987873731088],[0.4409352368955771,0.4027427826934593,0.4479527702567069,0.3506673977838143,0.4134989815892058,0.34096867705415257,0.2980539289769608,0.3264720341544163,0.38720494023636276,0.3409831062354492,0.35070647142512346,0.4308840702486564,0.3515830417489441,0.34948985407391087,0.41814745320651414,0.39382156496363685,0.4403327939015875,0.39880140312427337,0.5083018346943392,0.4737315426727602,0.5427602330578468,0.6254240050514648,0.7176908241276772,0.9000852201239911,0.6628874181639816,0.6069549795710701,0.5025648115394524,0.4177538707417383,0.40670682475636705,0.3987039785230186,0.4645715452294965,0.3946560142700361,0.5001111911828559,0.4761015221324015,0.41056952577770606,0.4035379314090354,0.40015833062461675,0.44139285632509323,0.4490027729948513,0.5556152678247647,0.7460325776360798,0.6169956960503277,0.735389819157154,1.2228228873779239,1.6473636359434785,2.783603325768396,3.053144207933668,1.8841912651506059,3.1685503758244002,3.7241716697528218,2.2878707079296388,1.9400275597621846,1.4428266317030216,1.141069117934401,1.0712107613588353,0.7935592386028181,0.793674107016243,0.8231194836981863,0.9736773059385603,1.0064109865861246,0.6577691650776925,0.6329083551467529,0.5984069200373392,0.655285897953284,0.6094307458612868,0.542507780967743,0.7200717375725115,0.46549238572593593,0.7801367371696061,0.8023285879515974,0.978539545300576,1.2178193888428037,0.9970689603851707,0.7976783315852898,0.6742926229188722,0.8956197314384932,0.5357553872683761,0.5229928266785769,0.4656368242211074,0.49697944289984325,0.43498729933469,0.4888461471324204,1.0353022754289047,0.5977822371914359,0.9277265398333673,0.43114776975404584,0.4157296662542896,0.4744044270590555,0.429987258851365,0.5085724251001688,0.49445885306068155,0.7886875278382055,0.5931029919371896,0.5204396675985331,0.4819967199114662,0.6289952736382637,0.6217928837076606,0.4991981824614801,0.4501572113451465,0.5896894259356721,0.4032304105179416,0.5410319878126211,0.4261771879672687,0.44100090923071467,0.4699394012031526,0.4687244015531163,0.5688370349613012,0.509046985147423,0.4776445765469066,0.6915973960455419,0.39355302677878906,0.3653213270503489,0.3379767928424007,0.35806751593417696,0.3505376473946541,0.37700595736284853,0.42388150286747855,0.48608800498979315,0.692617874625708,0.46792239618630244,0.4694567661726244,0.4356778937537173,0.4846569034007911,0.3465732204480548,0.3435671948389414,0.37977777739405433,0.3337693159665704,0.39130675015663896,0.39576223616357936,0.4650666244430612,0.47027009178497564,0.47352450425606574,0.5115892941625428,0.5123923223668809,0.5534695123248442,0.54809800335394,0.7065974144660851,0.514597122018438,0.4571808725263303,0.44598861178827887,0.6845892856867627,0.7235802596713169,0.5435277087792957,0.4466586939421163,0.4734334820141131,0.42693497444478856,0.3833914119607384,0.3938341209100581,0.33984349128859886,0.37910866576061186,0.4263616574148835,0.4912829951918505,0.6429568097461001,1.410845181904325,1.0958512690475233,0.49215920771697386,0.39470842863971667,0.40111116511999284,0.35933869406364766,0.37571069774689847,0.42770864373263595,0.43257120821052253,0.42940713638015726,0.42861664873393696,0.5274960435265601,0.653010120446435,0.6014201596113826,0.836584502201881,0.9043395670704911,0.8166835368863394,0.6109757052765998,0.5061525700550482,0.4883479201870965,0.45096438503605984,0.39543661494155846,0.44176183427294635,0.4856491309161463,0.6043876511714502,0.463106624020306,0.46357565416827967,0.5973689492383327,0.41107783556548505,0.535372767720471,0.7419778864765288,1.687333762052188,1.8805188594913753,2.00793697472125,1.9796203013729343,2.278113496804789,1.3961082174422141,1.5975231885615273,1.2039160150007202,1.1071644355353158,1.0227604487893358,0.8885895459096848,0.7606915620932482,0.629053988876409,0.5503542028615673,0.5204337377337865,0.5199327809688085,0.4039663894530901,0.39210871193038754,0.37967275514962534,0.39759543133416186,0.3943737050794555,0.4366070698983713,0.46964470559495847,0.4701191117583294,0.5159226169845086,0.5714130022139802,0.6444281755158875,0.6737995535863082,0.7297660910768624,0.8150598542147871,0.8679716231282187,0.8221119950851077,1.0109819792710537,0.7218412342474418,0.5925320359613175,0.6429583298399856,0.5937245010658053,1.105304141806497,0.8117849899846606,0.8777160036266175,0.8479530269676728,0.6421639954751979,0.6743373113883349,0.6482481775673847,0.6558055837158648,0.5159693986664102,0.6076522886398532,0.6203050922754758,0.6719544382114118,0.5128689045469152,0.9845922847444325,0.8714351146887047,0.7956697775718001,1.0514039270714273,0.5402325821227967,0.6438350100912129,0.6235450454022341,0.6264380516111364,0.8142169896471245,0.8987747264487308,0.940819062985253,0.7357768042753001,0.6159183206517942,0.7384851333033338,0.6822402714229021,0.5130885433286186,0.6142892857950822,0.7131246207055373,0.5682266622390071,0.6027276396120093,0.7651052800022714,0.8846955707421713,0.6911792159248382,0.6862201789326253,0.6198232117348295,0.537885264643918,0.4876082319354782,0.48852253229110154,0.4989851118056864,0.47673557958577184,0.46082552937802396,0.4806629922785734,0.5349695430856785,0.4625730432312416,0.5170603591620132,0.7029503553718889,0.604910770554932,0.6811900221045117,0.6935637248269322,1.007530697444809,0.8663553274193432,0.7958414639095284,1.1447608627118833,1.3400347526891436,0.9461203735477685,0.7499593318889527,0.6642534044359527,0.6155202254033728,0.7764082843866551,0.6434702944326942,0.7226799277190167,0.7833416446290558,0.6046121130190216,0.4742823397137558,0.43156039296968796,0.43053384273919376,0.32803721058583446,0.393735627189477,0.4437123790059357,1.263789733133244,0.4798551665094993,0.42793650513778286,0.5928975111781918,0.7190808098338648,0.5127039980979858,0.7453224514705932,1.1481154631151023,2.635773106287908,3.4102968771323003,4.190620755462374],[0.48361623667845527,0.444971715433513,0.5212859462383089,0.36694026326687507,0.43985728532248675,0.420147945990093,0.3836043575247836,0.3820836353577001,0.4060069778407854,0.40144118503598064,0.45324963478590735,0.4970192911024886,0.4364043678953142,0.45025627073726554,0.5341215732369922,0.49580843415616876,0.5412381217464407,0.48561408334010797,0.5725182266310539,0.5465301647013917,0.6064004223307647,0.6692163910404132,0.7756620151379598,0.9627777299974389,0.7121351177463873,0.6756504703116797,0.5951774046243534,0.5077665572163526,0.4923158082680591,0.4878750196473529,0.5485443074448433,0.5017192583194333,0.5916128153561789,0.5885522598799062,0.5041404040490824,0.48201867168896423,0.46963453418069184,0.5264209588003391,0.5430893531449512,0.6262388129885551,0.7687424731597525,0.6711616098783646,0.7672642681919116,1.1916533708166266,1.5694091098490264,2.725169594184006,2.8889013204196647,1.7316475846701012,3.123436129379551,3.528271744597094,2.2160567430450007,1.8619399677229374,1.443868243516523,1.207247514383441,1.067263236754693,0.8296051149828976,0.8250098666900243,0.8511242731985748,0.9845043298440325,1.0328684382099749,0.711858123538162,0.6988766244560797,0.6749600064174589,0.7247771258096914,0.6721651447180084,0.6130517166658607,0.7739647554151503,0.5418880054478868,0.8334355668440374,0.8555586047340006,1.0003719879881996,1.232580546268375,1.023088052929365,0.837940429770829,0.723881813006243,0.943808041565326,0.5983991842569834,0.6089217275198361,0.5435901768554608,0.5589377109634373,0.5271371040379984,0.5583322942878184,1.1183717507176534,0.6321321173921283,0.9667069253620271,0.5017993679871233,0.5058016742335306,0.5429935913190663,0.496742087213277,0.5870681233902997,0.5735393147093856,0.8612047186321755,0.6792683842503794,0.637331204939494,0.5935380433899927,0.739552930455479,0.7536374781210259,0.6049022942385902,0.5492384855655297,0.662221991451364,0.5114400046195824,0.5850283903415957,0.5234799474969584,0.4812515427241851,0.5267568885449088,0.5226417737483854,0.5886501000566416,0.5518429007917834,0.4975653289542706,0.7268228972004244,0.4129610048502775,0.38763892039730197,0.4204290638382493,0.3889472936374007,0.42657126008613583,0.45325794077799664,0.5154605600773867,0.5728019615744935,0.7781554084986928,0.5343264877381505,0.5435312604195764,0.5159716923260906,0.5861126631152936,0.4255426173823279,0.3525976626414868,0.37851215649721726,0.3728807993045373,0.37503832581554264,0.4036896284927556,0.481565427194086,0.4422095524929452,0.45394371651047094,0.49123292093998844,0.5190873978433856,0.5144739300296541,0.500631691542063,0.6518718417917984,0.4992828154733917,0.4888089187656496,0.509034541305119,0.7660249311243251,0.8256499140569045,0.6440539793806692,0.5293662512515759,0.5314797891444719,0.5143042468351493,0.4627334921203621,0.4825346123261617,0.43113092958549765,0.4650528864878785,0.47060556963421185,0.5770942357726675,0.6630871158985868,1.4346593523922584,1.1521760628986006,0.569790548786811,0.48095446421109006,0.457117864485825,0.4530471960518024,0.46734580840917167,0.4918996880870512,0.5207156578073289,0.49018346378004396,0.5161787955347213,0.5517411555326948,0.621795190358949,0.601815786214454,0.8260729367070464,0.840226859215661,0.7932686822688598,0.5971795900192283,0.5203834762048111,0.5091478028589962,0.4993996719065079,0.4840906984876042,0.523605649107731,0.5722005856996355,0.6854620305211387,0.5538420701534696,0.5396056392350693,0.6595726442552965,0.4659046619452187,0.5595842174382618,0.7769137441796619,1.534258770797518,1.9012924532783966,2.0046292931923158,2.0065854102173994,2.210508767712879,1.4069516367814558,1.6397475091885338,1.2543215088328048,0.9943674914060958,0.9277529983535923,0.8336231946952325,0.7029793327165539,0.5847824210678441,0.4957788487371302,0.4859063373205082,0.515278984703795,0.4205121183810125,0.420947164484447,0.39784194649392407,0.40840601562396284,0.40996629928260336,0.4533637113967428,0.515913591612439,0.4882876261232296,0.533051034429783,0.5962380211734268,0.6680016789803446,0.6659683352234684,0.7065965971291837,0.8423739056677922,0.856807887676679,0.8223376805097605,0.9934364009997987,0.720054116026548,0.5875025450944246,0.6337337511935595,0.5864159970513427,1.104558109741202,0.8023897690222423,0.8776587064600374,0.8575104835289346,0.6376477180649673,0.6569893348642508,0.7009416993236725,0.6222819949786756,0.5331857327024212,0.631199627649495,0.635313666205258,0.6439023532110837,0.5035592198446646,1.0108289503790302,0.8061051659210119,0.7703043755293526,1.0097327029078864,0.512262230619399,0.6298677921569001,0.6356494645929647,0.6513068863707728,0.8547631783353336,0.9281717469273064,0.9894659551989207,0.7565359187015912,0.6305237337252563,0.7759443453734532,0.6888167655477785,0.5365967232906677,0.6357006914407172,0.7252136896466057,0.5731494827498917,0.585893670810833,0.736307426332406,0.8281776468352329,0.6746159026406738,0.6643659686549878,0.6035913511923366,0.5362540850209788,0.5041540411003579,0.5232706305852536,0.5079152513543405,0.4991722902225914,0.4748615140132929,0.4910415560768405,0.5479167186330324,0.4806255142355524,0.5216156305961026,0.7246236137327355,0.629763335652976,0.6393838751749356,0.6729065450697951,0.9256712861299097,0.822097087810539,0.7685474222464391,1.1437271149702544,1.3555776420448908,0.9057087524177867,0.7530042491796504,0.6903791642152225,0.6490469800789695,0.8113063327277106,0.6369780081323559,0.6682880665443012,0.7464845595188413,0.5750534292714504,0.4745036177522771,0.4175326023253338,0.4158795429171488,0.3840989668805389,0.4199331945943814,0.491456833435377,1.3129153236261841,0.5007539145320804,0.47029377462389077,0.6510417575454565,0.7156065402659225,0.5854841601185495,0.7883991867936216,1.3602758695593598,2.9106181992845035,3.828818411693691,4.911292390992698],[0.6048191279373406,0.5648320253961429,0.6500577447848145,0.5321362897462744,0.5784917564452562,0.48131253612282454,0.47233779486740296,0.47083339893720744,0.47157844143404937,0.5329112605154972,0.616890027098825,0.6358920697260102,0.6662701537667844,0.6926444949631184,0.8472265893527583,0.8257228654812174,0.897736633202512,0.9296658905346511,1.0343138787809718,1.0014249642473454,1.0863129661599207,1.119675634639235,1.220369566525181,1.4190430396901241,1.1260431058257119,1.1123962938738248,1.015659389850822,0.90502496572244,0.8906035175802293,0.845558669535306,0.952999878766368,0.8474753516845248,0.927882375097804,1.0004024914579017,0.9038049214547327,0.9056129654357484,0.8445634529789898,0.9417978226024625,0.9349530745238406,1.0122991356865954,1.0758842339052475,1.0740588864348204,1.175504057692439,1.4804660466506732,1.8094718359709934,2.8529762176827638,3.1032924396942545,1.978199083730597,3.145364106911948,3.4391455066459256,2.4093772825483724,2.028147245727671,1.7343836721158417,1.4689531826866138,1.3154888607682182,1.246726438179898,1.251462399519669,1.221975931530588,1.287280365475232,1.4984659376553617,1.1562367945614624,1.1538771758948478,1.1534518808969818,1.1577941311710196,1.1192522477606692,1.1037239381995494,1.2158206877513213,1.0386206182711446,1.2649458776582363,1.2789876218587883,1.3551700141703154,1.5808658990254552,1.39272519927391,1.2620764660794122,1.1750590773934206,1.3453437766590857,1.1016341585426077,1.0817946076989484,1.0288525874924628,1.0165661991837547,0.9632095506474064,0.958559194906135,1.3471769431941525,0.955912988457999,1.2332603839032739,0.8608510425830105,0.9260872869931263,0.9420591974056756,0.9548650606912387,1.0276378340635746,1.0259946502360746,1.2830411374049113,1.1074025524331483,1.0571380986600072,0.9679699801130335,1.0645077280244877,1.0266328287553559,0.8634202991192097,0.7436965483249454,0.7656499614724119,0.7587466070069959,0.7178834166125381,0.7257380155694333,0.6834820410869006,0.7310898096543291,0.6910232603762078,0.7338292021328139,0.7270354624422039,0.6398169806442968,0.8308119682062906,0.5573141670417601,0.5809589452595674,0.5827539314032356,0.6010816482564041,0.6649229346329134,0.7138307689500738,0.8457129096482043,0.8963802339518457,1.1993395659986328,0.9483271012231155,0.9301434368663377,0.8066413124642865,0.8012863408333353,0.6268774054563899,0.5115148467475336,0.576010551153426,0.5088475084401859,0.5670726255326451,0.5983486814464605,0.6664540310115324,0.6547932978938249,0.6562759070990074,0.6975841908009996,0.7173076833608817,0.7181100687767801,0.6978163423790467,0.8180856974294599,0.7074500041525233,0.7047347749359593,0.779202112388956,0.9735288752894327,1.1393433612490143,1.009117740245657,0.8596813533939949,0.8842447810643552,0.8581237438142817,0.767693105800336,0.7537437755836625,0.6637433015030552,0.6310917463699269,0.5940060380233827,0.6357980293148674,0.7041265171307617,1.48720830553112,1.198418285661666,0.6827673808240634,0.6404766907179844,0.6167512724348142,0.6839475456329532,0.6840714845655578,0.7317810725478029,0.829921501499202,0.778293676695492,0.8380907844148988,0.8423088746524183,0.8866234329223384,0.8542033542443515,1.0516603313315351,1.0664114298181993,0.9874686065743886,0.8208907775839646,0.7713561237151926,0.7673501396972296,0.7617790863861639,0.7801125926724726,0.794305873961594,0.8582884708110696,0.9480046143082541,0.869880203492064,0.8262644588705635,0.8908428342660982,0.7133947399861518,0.8190703963369925,1.0260664860887683,1.6266644450672307,2.058606790542801,2.149522967211448,2.186361086468925,2.2404768272856788,1.6066486518556162,1.687467596489749,1.2577011736839525,1.2205862207955853,1.1131930755629822,0.9897281116709432,0.8918018823660315,0.7762011540432623,0.6938278407941594,0.6768533927983046,0.695038998534576,0.6068469732453216,0.5750875304010542,0.5742541813138808,0.5882188392418009,0.5804529989942168,0.6104361266508552,0.6674815661806875,0.6405568114111542,0.6717537330170987,0.7256985793329888,0.7850499767954696,0.797851990709376,0.832600116524234,0.9308904219274085,0.9861345563407717,0.960465053271552,1.11580085819097,0.8818422623114973,0.7434926217832187,0.786785896006226,0.7432774209735333,1.1939999493128681,0.8930988898749415,0.9795426860935886,0.9354183575253562,0.7595036882642572,0.7859624550898388,0.8277778782742526,0.8131898768222513,0.7169393241068294,0.7769264729895443,0.8052359107129375,0.8275727941089006,0.7119526797403338,1.1518523308950446,1.0053815683963847,0.9289507508877843,1.1465314985561166,0.7064329455133057,0.8179215580432257,0.7975318005079488,0.7691065242868614,0.9248485620795004,0.9752026372478522,1.0338019711984077,0.8309576338119714,0.7172889331484972,0.827090229427051,0.7485703683310067,0.640933590056129,0.708620333367709,0.7816369509752897,0.6564368851204235,0.6747133516973554,0.8169307806134887,0.9131809530241716,0.7868138658092861,0.7716311369930513,0.7334784849208311,0.6675203083815832,0.6286626259729111,0.6498101530076076,0.6433985144960078,0.6348284522071348,0.6265926599221223,0.6520313594778794,0.7035177780058502,0.6470836578598603,0.6999141373829332,0.8701859518731708,0.7671699992944803,0.7939442517664229,0.8352368395166758,1.0704191824633593,0.9515545410365551,0.8920075066663349,1.2954855724815435,1.483536746340974,1.0526119285097226,0.907350723793439,0.8258038149628297,0.7874586542303511,0.9490481302298323,0.7942236491048453,0.8159830906480168,0.8601701126510857,0.7321704695830658,0.6492405744432949,0.6044586436520359,0.5909916414552401,0.5159182876376746,0.5359334304527645,0.5599782066916782,1.3276666671024813,0.5800330004814653,0.5274732086600894,0.6630079012349369,0.7723413899278349,0.5998752509511837,0.8203865594150523,1.3169863800970858,2.844174103894032,3.7504243948772897,4.697441394621655],[0.8427454716938793,0.9086548388539586,1.1026100641480376,0.9451169412486781,1.1132989772866704,1.1199747954955859,1.2131444335000412,1.3362369963826355,1.3014290164766518,1.465460850773763,1.565898617092968,1.5830642362879634,1.69675022588053,1.6707634932464137,1.8506900632322298,1.8752494811683893,1.8856616567135873,1.8692102307876286,1.7145907291089229,1.7258366735789579,1.6301816527290458,1.5939876459685745,1.5180066277199729,1.6757948798078632,1.4996375585274835,1.5627945839622739,1.6265119239077237,1.6939441238319615,1.8150764742184353,1.8496996023194205,1.9490377238924537,1.9074914500642202,1.9496206288730034,1.9508548474396825,1.912924108445188,1.852381101566416,1.8583419634493459,1.7907207074193332,1.7026523453610136,1.7053624564560943,1.6071963350846952,1.6563016783939981,1.7090297123073108,1.8273974939768873,1.9650565077785433,2.9273130499598192,3.0461514223164943,2.1131881843723908,3.251996218629576,3.3807869907963948,2.642730946508536,2.3052712466509058,2.146369961640689,2.0134521327293533,1.987782210908151,1.7999430674155534,1.7588518478094657,1.8368355630289985,1.8097327047778295,1.9980788682218373,1.7003154249237264,1.7278476235680271,1.810074127782998,1.68440742469049,1.6388835354937332,1.7519696497792885,1.7815475166810244,1.8118211239871882,1.8529991172303164,2.08182558570031,2.0267602668598657,2.0980184293724915,2.002610776360309,1.8090854545804744,1.9211072278750032,2.017997689490483,1.8534525854186465,1.8833458088431847,1.8651426439787882,1.8152405636248026,1.853389485588861,1.76548280644177,2.141233634427535,1.7311344793946126,1.8249883770952244,1.7523600286861571,1.7573099431316124,1.8848231126613584,1.8298785775033226,1.9148697552986678,1.891547100159808,2.0687585271459836,1.9837122199465598,1.9896231924704961,1.9513261891493634,1.9406343812476594,1.9445021645416414,1.8833512239481998,1.7764301360049715,1.7218099275192251,1.835416503888102,1.7196685261051325,1.7595406198878774,1.6826701679993874,1.687675375214799,1.6064042210085534,1.6188031733439738,1.5191402020535951,1.3995276164919284,1.556117011230133,1.3765878768590392,1.455425791835342,1.4457765830340192,1.462124847445757,1.589452929078996,1.5053313202420666,1.6819126243883369,1.4759188696984196,1.706066267953093,1.8154539230436864,1.7892823156201434,1.7400897827677426,1.441339590404224,1.3725762996590045,1.2878710825951942,1.3056679966571907,1.2710011011626103,1.334806206248836,1.3521249690507493,1.4189911422116512,1.2985409793693228,1.3391495842661514,1.3554090901232887,1.4637879067353732,1.3630183284249122,1.3570333713069722,1.2970284338011397,1.2449766364059769,1.2113112054922612,1.3739047235404545,1.31604549330417,1.5315464327341948,1.554523940811893,1.5136043887171058,1.5765925951904554,1.7015173806821784,1.6119336872703638,1.7034211391822383,1.6260404161685682,1.585956050851279,1.5277974008568131,1.5577125068834263,1.6000796080765793,1.9616550303104767,1.8598530726988733,1.6831773882494425,1.6877524159177,1.64173148904032,1.7435114947366108,1.6594625921809294,1.6115298257574182,1.7309259263757932,1.5474597616524568,1.6115148782588984,1.4725364976449289,1.3543958762145354,1.3624392142086723,1.3898376960412169,1.3882843714314703,1.3689227065735872,1.3441078446571102,1.3779737045162033,1.4889520412511155,1.583359966562789,1.6857975820938251,1.7703116627306614,1.8544188663013734,1.8996957153074874,1.8026809781816084,1.758889122590808,1.695537729268755,1.5971556777463687,1.5983713550838181,1.6805064380674806,1.9677046531088391,2.3912024193131045,2.47875830064716,2.4859914919580843,2.3740564097029906,1.9403400460277456,2.012461394030175,1.7711529050883075,1.5567869737146032,1.4903663096961717,1.4638775143726066,1.3880680475308598,1.2500118986323296,1.2578634475558685,1.2363351211667264,1.2702044524605032,1.2213964238598496,1.2392644452842698,1.206151013078523,1.1396839764461157,1.1414386625519044,1.1456757793224295,1.1403003403267091,1.131664144493379,1.135348895841917,1.149205462980713,1.183255565928294,1.1596986977046944,1.1453549686168971,1.252873491840058,1.2551861001318851,1.2223807735610575,1.3633160571673035,1.1697444387564775,1.11956575475921,1.1261383368165305,1.14492292955289,1.4244342207233214,1.3164060988487258,1.3814977714071828,1.3932095251620553,1.3013099959089158,1.3373984281999944,1.3794054170774732,1.281848992753745,1.2652703948275088,1.3217341475039903,1.2796188190474078,1.2395749413003465,1.2153240963780505,1.5408757670581532,1.3748140122402084,1.3143720300246098,1.5129074423083526,1.2225666629826861,1.33814300446059,1.3386182250345633,1.322034603354402,1.5111695912926482,1.5530422665333763,1.6486449141332367,1.3979380983358352,1.2724954583468648,1.4201490722401582,1.3524053096253787,1.222126853153543,1.2612343168851803,1.3051663491253083,1.1721878769500635,1.1718748258779317,1.2319308299114797,1.2459346317811708,1.1678277124939138,1.1686559375980956,1.1457621349654812,1.156301146664004,1.1701755175188004,1.1915918696911423,1.1412785390699762,1.140781483955117,1.1530997958372111,1.136073379950045,1.1514245492338968,1.1532965163925382,1.1935314620787225,1.2817729534603903,1.2016736383056044,1.2183730547326244,1.2305478350027323,1.2648489176612208,1.2241413217817725,1.1840465091712349,1.540960669320363,1.6981092906606994,1.2454798876239646,1.1678308199232386,1.1693230166487054,1.1449511254252156,1.2156392605232986,1.130523426001562,1.1072880754229073,1.2336998866950892,1.1045458261321952,1.1016239481331547,1.2008414008226767,1.202494360817717,1.158029380522698,1.2521310060436646,1.2465999943746706,1.8094347934201014,1.2269843603437893,1.1349123029149573,1.2434892227107481,1.2862640048715377,1.1276212355541635,1.2420135943995334,1.7165355012825332,3.1532242780296933,4.1304193742816295,5.3479592378806835],[0.6877835647896307,0.6862270156421645,0.8285285304634885,0.6545175283055034,0.8017874282719835,0.8597491700600682,0.9004830185590782,1.0080730488450733,1.0219285990728921,1.0744069044758495,1.1864102453416492,1.202478453832205,1.1703881372879577,1.1784926517765033,1.2971088164400528,1.2516711214867895,1.2080248576028596,1.136278481516436,1.044631854021259,1.0490597014255412,1.0208858224460415,1.0299115124454177,1.1074961803617165,1.3197052177958737,1.0164762408671484,1.0282747669871481,1.030000511790034,1.0200183669303096,1.1097498769435263,1.1911750956809415,1.2577089825182455,1.284001133056547,1.3417065376112336,1.3143766900161522,1.2331151194373091,1.1430135695300467,1.1802303977347792,1.0988101996250825,1.0643529665896816,1.1076000788682563,1.0963916434696739,1.0605049994634566,1.117542488994235,1.3513303080565002,1.6153763517574196,2.703814794949253,2.7324776650183047,1.6794728891695572,3.033582063465227,3.173204896165337,2.2565408059062073,1.874843640223675,1.6569859485879728,1.54762222566978,1.3898011619735768,1.1949720419100969,1.1742601840405305,1.2352461185157324,1.2845565759287505,1.397152900510136,1.090312156235665,1.1120133089099993,1.173244906504921,1.1015213160105415,1.0476563103530674,1.0863199757889328,1.1497969381293691,1.0754283793180845,1.256251492601579,1.3293501284354443,1.2701622293147798,1.4203141165941922,1.354974466296636,1.2039151059763114,1.2085052192714996,1.3478346522467037,1.1439586835467257,1.1914611760225007,1.1461107096963208,1.1274559512265356,1.1572064197872631,1.112779778157597,1.6485620401113579,1.1258257759687473,1.2995845652132685,1.0932555954009557,1.0810084855895672,1.1962717155727176,1.1188631562944165,1.2461474909182981,1.197405376056845,1.357052782885111,1.2993489299656018,1.3715872981720272,1.353797249623324,1.4357973676606475,1.4576585867831438,1.3476246933932126,1.2991644880419004,1.3279171449463696,1.2853408120458163,1.2291852592486254,1.2244629931895499,1.1521686503080566,1.1104801929644281,1.073825439620644,1.115138319196685,1.059740563765486,0.9633949567001252,1.1507115039749272,0.9592173366043035,0.9756374624440504,1.0024624241917717,0.9629949679381652,1.0363824785874256,0.9391133385393691,1.0194170695136586,0.9077674009226724,1.1298099995795596,1.0683444084642986,1.0227592896694513,1.085846816177239,0.9292936384057106,0.888436132356781,0.8731563163113147,0.8499764112844486,0.8831036170104792,0.8857088979008836,0.9132572232523305,0.9347686367356564,0.8553777112710448,0.8854440057840273,0.899926487936972,0.968062324030688,0.910559715593532,0.8979652872818417,0.9338509747697784,0.8237585731029236,0.7947940367268947,0.8895741187610936,0.982950763160319,1.1767842268689939,1.038687201280093,0.9559308002046246,0.9822373575724999,1.0602827535470545,0.9972715632663024,1.1005996724780578,1.0789135686271203,1.102231512684669,1.0660180893445332,1.1736843194302213,1.2302734941242386,1.8456894248779006,1.603103576818918,1.2749100571101961,1.2242817451360284,1.1559830478431123,1.17868818590266,1.1157521668115995,1.0424826767778368,1.114243624167515,0.9785861820513393,1.0388978422205764,0.9724687564650911,0.928961568938208,0.9540476013701417,1.0475065612184546,1.038200614527848,1.027512478371117,0.9289536085186546,0.9091628498483992,0.9639490739947824,1.013418340207164,1.0811559732041514,1.1642886764258344,1.2459763267582242,1.3275724033934422,1.1780109077127427,1.1722762157957065,1.1252244291985896,1.0285523534576664,1.0448683435385795,1.1545132621144432,1.583057374701977,2.0282800258070486,2.1049595603878473,2.190223395601557,2.1907731353454483,1.6296163905650496,1.8200190117362498,1.4767570198319755,1.161806723195806,1.1100787087800648,1.065505915330499,0.981826835970518,0.8719431607451573,0.8418952313671954,0.8464750755023726,0.8618886724208411,0.8279630196092407,0.8693593573138029,0.8296167919063501,0.8003894715449459,0.8172736531726101,0.8522360934959481,0.8494650421028765,0.8457111408826601,0.8899649998053663,0.9073409298268559,0.933408641152449,0.9382745581268567,0.9671991229432639,1.0475860846635805,1.0286112113191668,0.9883263741136181,1.169694006310352,0.9060191471358782,0.8429988573585359,0.8876481352384348,0.8774032907824876,1.2703528033409488,1.0611161358669343,1.1612583953224682,1.1401600386683295,1.008097776743462,1.0186702247507695,1.0396771146100747,0.9396871966545404,0.8982253944226573,0.9905548088632796,0.9284262094095342,0.8816897104138592,0.8246556529484073,1.2288860355757765,0.9891082689210344,0.9917774151319747,1.1915878591395108,0.8496512361734707,0.9542912995557713,0.9904013349656983,1.0020864829641378,1.2177553627703153,1.2837344513705804,1.3440353694940397,1.1128452258959711,1.0138433931128634,1.1610997075539977,1.0767011614077409,0.955566116807642,1.045169186989413,1.106756486522699,0.9565231777937461,0.9664240197655045,1.0665617779840675,1.093886110274306,0.9742743557187383,0.974691251375571,0.9242452568382622,0.9067791502697096,0.8975083614339406,0.9087102409727823,0.8769457229608386,0.8603024221250382,0.8433622956347931,0.8313757340828676,0.8692183969014091,0.84340188797267,0.8703505165577043,0.9899875321844798,0.920473525688606,0.9089688960182087,0.9207202027996833,1.0580904402307474,0.9876277486213138,0.9462087253712174,1.2767687380144872,1.4539313767294693,1.0303944486136318,0.9034512396246058,0.8982979867622175,0.8653873340626441,0.9330229049113602,0.8357537694595679,0.8446538558130106,0.9571658704235967,0.8097542177585024,0.7813835017919287,0.8171848108267527,0.8278353289723368,0.8389421868818416,0.8955860994858599,0.9464421520166547,1.5989623789344862,0.930111308064758,0.9004745644005475,1.0532373509717456,1.0466113881782533,0.9610998556413075,1.1009660883465413,1.6559928310917469,3.1705366371543238,4.247760996804426,5.402764327582992],[0.48006900025118937,0.41473574133086966,0.4755053188875427,0.3563180367465259,0.4408357133279511,0.41471753495048996,0.37119402779752236,0.39212577503111323,0.43749038170235444,0.4280100637357098,0.49247064052794387,0.5652456924037725,0.49631386240747627,0.5186112284749484,0.650110196242624,0.6135013447410812,0.6597829410782071,0.6643072924388774,0.7828580691977464,0.7397113297807175,0.8336572409137615,0.8472313165566456,1.0028847445124052,1.2391866109454523,0.8677307862659962,0.8588789748028719,0.7612765005400577,0.6384168674334723,0.6260717398913576,0.6020057022185302,0.717492784014118,0.6517763881811972,0.7712210006723732,0.7831398833151214,0.6737768365710645,0.6397559152934652,0.6026945311280134,0.669537828812885,0.6859690972690834,0.7643633878936726,0.8584541396291323,0.8240786755717568,0.9079527123315482,1.2549538052116185,1.5893387455948866,2.7121770584647953,2.8085172383017234,1.6739748310067657,3.051221268023399,3.289349476205884,2.19349635237054,1.80418805456764,1.5110500634885924,1.3258998571807072,1.1467225127751648,0.9649122126220071,0.9803683498880653,0.9623495462899321,1.0466916332782668,1.227483712779703,0.8947402665849354,0.8873721954124,0.8983752482821683,0.9578950323716627,0.8780547202858292,0.8313513760855953,0.9787283583263114,0.7581574045608989,1.0598126059972877,0.9969025605487187,1.0416898633755456,1.2778981337357342,1.1629552364377265,1.054773520441258,0.9228439889309711,1.1403422588156382,0.8350170115182005,0.833439583841959,0.7517173670359117,0.7482442068631175,0.700501905682875,0.6780844953895316,1.2960056517918292,0.6912791133075467,1.0072442484295785,0.6045456065762262,0.6545290370045979,0.682684777367125,0.683806808154944,0.7879596371387565,0.7731613524129438,1.0268945781960226,0.8623294454965651,0.8484467586970817,0.7705450036435659,0.9007005571219103,0.853508207958696,0.7258816690479873,0.6279317960660138,0.7630185602395028,0.6044641483149531,0.6060556205538827,0.6323552965827309,0.5367707971357178,0.5582714019869864,0.5287054877147851,0.5965148240514472,0.5356080568302022,0.4845717168355333,0.725581014364681,0.38911385289697226,0.39839822076405756,0.4156859878464113,0.42059816232449027,0.47633781051292834,0.5043294269996681,0.6124803080438137,0.6582594228054808,0.9604062609782786,0.685883248487412,0.6735170882373394,0.6029710933262667,0.6276995365417238,0.44977166069901925,0.3623481719308138,0.39664907885946277,0.3848425826028544,0.3964515396191516,0.4118493280088882,0.4830334464961445,0.44512243183119465,0.45373846569277937,0.5027420719934693,0.5243866787303805,0.5300844686023338,0.5092741643157817,0.6706157617844334,0.5224805029349058,0.5247755334069074,0.5673427476704797,0.836091548629442,0.979471943799805,0.771571234474641,0.6144768580226717,0.6234848025188763,0.6185296023730658,0.5292641915899248,0.535205575286306,0.4788518486511811,0.48061258370782534,0.479620934227284,0.5921572929334298,0.7151099544568386,1.641783741270374,1.262913128097284,0.6642299427691616,0.5460672170603065,0.5157564841248526,0.529937326879456,0.515173418984051,0.5366658059150182,0.6086681295136208,0.5543550390120707,0.6142620685483022,0.6167472561647783,0.6788744739448307,0.6609648570683452,0.874540895386272,0.8776395055057583,0.8310693168097615,0.6303926999565502,0.5590296958788453,0.5563491478118847,0.551223607697984,0.5595881479877248,0.5982017913678277,0.656171628397226,0.7793337694517841,0.6474072302284326,0.6172813992435453,0.7282563771355918,0.5038649774376702,0.5885924417315862,0.8028380631455881,1.4694603762013305,1.9084569236165514,1.985991099560538,2.0535347355411457,2.1800039720258844,1.4761465748527924,1.6803185738437283,1.2565365381226694,1.0038510971015329,0.9241532556502893,0.8379197795783649,0.7152000751121228,0.575100381403268,0.4877526747173115,0.4932057927054669,0.4939127116178295,0.39330876869095976,0.397967975392081,0.3715961322096552,0.3938788719594135,0.3957529005361228,0.43157822097882637,0.49312819810096464,0.47832017013308403,0.5241242000103717,0.5763243933677168,0.6468343194756061,0.6574446334387151,0.705351345075071,0.8065328091818995,0.841259338183901,0.8077224871575498,0.9907473919171731,0.7133129255527871,0.5810268211828206,0.6253647027595091,0.5749342097729226,1.1112643520002476,0.791288214001231,0.8970390820440884,0.8416395718311974,0.6431278875469482,0.6543587662655681,0.6873359421332537,0.6209311430818732,0.5101945370971852,0.6337984180291886,0.6253428042410665,0.6443098967102413,0.49491465155468,0.9843297292203416,0.8116541453855711,0.7836331531537573,1.0188810328058002,0.5146107884923907,0.6262960825141914,0.6373275953544439,0.644798746481062,0.8598710274494469,0.9557760778533994,0.9939449512150331,0.7596410841075949,0.652842887258423,0.7970582736161459,0.7012256815576539,0.5441084436644235,0.6562326832570254,0.745030126192675,0.5755912486422345,0.5980488336899007,0.7726412690084086,0.8465019878181541,0.6708741026695385,0.674001796906966,0.612955585211571,0.5446556464894982,0.5166685099050141,0.519052282762417,0.5034215806333571,0.489162075491294,0.47411552060098366,0.4906842566067755,0.5481761500934168,0.48007417435896294,0.5185979616231728,0.7311275816954536,0.6291770718509885,0.6452909948608289,0.6828672978183663,0.9634245658941822,0.8404373703183484,0.7838082513995772,1.143038105468994,1.3553985826574277,0.9321022902757821,0.7437868667043833,0.6661118300131383,0.6056521563095791,0.7816181883676971,0.6397665515170703,0.7031337581741891,0.7608201693593359,0.5727960982805126,0.456697844041126,0.413209689880093,0.4145918111799777,0.36278752902272715,0.3786571168967895,0.4657220574645169,1.3710460693690567,0.44784548259413365,0.4551491848866579,0.6668962855413584,0.6574068885426901,0.5939335910668053,0.7709917942825043,1.4025886975735375,2.964556601719597,3.984304453618867,4.936643637984518],[0.502675303076497,0.411394193227533,0.4547228346232892,0.35326077171100156,0.4026733484492035,0.3891078302164679,0.30786105541224745,0.3013810572948812,0.33856585154231206,0.30630893874589094,0.3276005437227587,0.42114865567269877,0.34619992371278013,0.3715282718997387,0.47643774779922005,0.4366236084944671,0.4899151830154492,0.5134001966849663,0.6557621955668701,0.6072861398181948,0.7081007851546093,0.7237358956937795,0.8737693625471774,1.1078687600212356,0.7407423537096407,0.7344956089745931,0.6377780339138808,0.5072640179329171,0.47933789785589936,0.44566948570319254,0.539232627410839,0.460696796374888,0.5992061538640514,0.5797340491947176,0.4981084191027299,0.4859300120921732,0.4411739845017039,0.5207027937722155,0.5400337993301892,0.6103192076436068,0.7977151513340459,0.6956059485301993,0.7478081327230764,1.148396267073912,1.5010399993287233,2.6652203448498972,2.7270976082806,1.577934777381002,3.0676948637150914,3.411641311786929,2.1195110837533653,1.7651422712226825,1.3922350047864884,1.2355993116786081,1.0756518540050932,0.7900621169014537,0.8038354453161924,0.8154631410760812,0.9557271708877444,1.0371337593378551,0.7596110066863926,0.75021317402883,0.7521938380131131,0.8214235710090232,0.7417603589301089,0.668773072943225,0.8325132199011062,0.6133834832857642,0.9367761989101286,0.8248123789797559,0.9535182805816096,1.1757705583292501,1.0375014101743194,0.9055988009109661,0.7648491284407654,1.0173018870624482,0.6596343891476071,0.6560108980124845,0.570005922178653,0.5880853749734891,0.5214537183514562,0.5199445533131669,1.2150950917107965,0.5579898817201675,0.8726828185721133,0.4521734397481819,0.4944434762473721,0.5346834549417975,0.5219051977909099,0.604874791122665,0.604158405278837,0.8667437644867305,0.6725145973514894,0.6064024762457209,0.5576292397540883,0.6930950875178215,0.6465377332779018,0.5551108832854721,0.4745762366467265,0.6934932167661663,0.44997451622521506,0.5341452192859598,0.5025004644691858,0.44919392358459675,0.4774993611354244,0.4508879403364043,0.5576320440265138,0.4471759082039716,0.4297576502968078,0.6805030818897145,0.33448760507240427,0.3213905743906969,0.32872448279355193,0.3330029697415854,0.3710729561626489,0.42334563174982137,0.5068483141745421,0.5686424403659213,0.8040795877753035,0.575437646645074,0.5724998618478587,0.5326174638864937,0.5700069973363825,0.3927384479761135,0.30361494836654884,0.3295793228304434,0.33691922234971433,0.3386432686251102,0.3408956480007751,0.4094325876138688,0.38841236909892846,0.40025223760922135,0.424158429106876,0.4599019226163864,0.4705992904622656,0.4568237724212423,0.6424813718848846,0.4631689536779541,0.46584588215684913,0.4804880808694557,0.7576112182572632,0.8318209503255724,0.644303681711982,0.5087846835550118,0.5020647925606081,0.49105377625004465,0.417808023596072,0.40951465513657864,0.35431910839390424,0.38383770470558065,0.4165991522319525,0.5232719929840486,0.6950571790789,1.6588086370264337,1.2323471775393868,0.5985994494276682,0.44334102022415117,0.4375565575776335,0.39386912274036867,0.4114199296544634,0.43651539369591474,0.46225468101334827,0.4538786290064344,0.47248193115534315,0.511816772275406,0.5979146699505041,0.5612182611094608,0.7893738869369682,0.8179689538087632,0.7824722396967618,0.5596659166617303,0.47680768774020627,0.44975240873152367,0.4418240854520023,0.4170222779649906,0.4570933103349238,0.49486511893498064,0.6464606007507646,0.48980092708788986,0.47260773343050494,0.6313309401202947,0.40361137431769784,0.47197216012084564,0.676803577522392,1.470586544991905,1.8427110995896705,1.944954808395575,1.9914820790066103,2.252346469988641,1.4014582273759488,1.6880990232403477,1.3202865770993313,0.9044081182537439,0.8767732553356878,0.7758038308428725,0.6340224534477565,0.5457462547514041,0.4477274399849629,0.45041651111668285,0.4666466520708939,0.35561627190831613,0.3675362702298536,0.34259443299026826,0.3641528556301045,0.37244144999303774,0.40770990266924645,0.4795929850661407,0.46045038903020935,0.5088054521959186,0.5573443396019427,0.6355516291872215,0.6431435723882902,0.6844834969042602,0.8100416719123436,0.8216094841082062,0.7857717111719698,0.979784322406332,0.7072744698809834,0.5678916749096697,0.6136893506739596,0.5640523870982935,1.146056243830256,0.7934830285036915,0.9052240752509625,0.8170040443121432,0.62575130531556,0.6425537704491034,0.6552611419530482,0.5902082341382751,0.46045885587564755,0.6071657590465542,0.5722072851758128,0.6091883489650923,0.44315578779744214,0.9502770390433137,0.7516685184414178,0.7424463748348485,0.9969467429024006,0.4773500518981578,0.5785265480119085,0.5972691992206257,0.6321912086513128,0.8527419117009103,0.9665337587819502,0.9848438367513404,0.7610053657572948,0.6431980379989998,0.7933323074586074,0.7014986120083712,0.5305004567216764,0.6468330518103055,0.73430991596766,0.5688019151201815,0.5929002820965853,0.7711264548307933,0.8327158250251904,0.6739685264719775,0.680309595041443,0.6071406966392504,0.5351925865019483,0.5032543198433657,0.49939579548228225,0.494411409351271,0.4699810778663998,0.45008939974678414,0.4586678626963786,0.5201055765889896,0.4532987688487288,0.4983158863988047,0.6963896769847698,0.6144420240092449,0.6350468982459857,0.6487451840121788,0.9562461817856243,0.8388307229802794,0.7817368751458806,1.0754096122623023,1.3020222226430578,0.9515423518967739,0.745841368817702,0.6691995092732378,0.597043105747338,0.7767567541858553,0.6490535774367815,0.7191196300591924,0.7800194118560719,0.5671099428286497,0.4475982516302039,0.3808339550396583,0.38156381895314423,0.33498279577361884,0.35013116597473165,0.458248503781841,1.3998912700614838,0.42834491909273503,0.44707571911506355,0.667560844301356,0.6376179891305773,0.5864246348814001,0.767200035149585,1.4076093717845801,2.9597996832985207,3.9865539850212803,4.880480130062455],[0.4779719607193044,0.4133264379537348,0.4222777071234716,0.36850612173015185,0.42141444873148165,0.3502204730237062,0.28311070027775864,0.2948281985122304,0.3437164014473473,0.3182479122191253,0.3319281785187181,0.4132828080849292,0.3592712476899332,0.37300452619320684,0.4488060681447083,0.4182831274653768,0.48371906929917197,0.4913903894080639,0.6372176907365442,0.582159001946863,0.6804158938435452,0.7198871682681074,0.8772435805421545,1.075544337426297,0.7514456839553396,0.7256571119884242,0.6228490611442461,0.5087571244342212,0.46496290180031075,0.43634662006807534,0.5291967655903138,0.4307990142498762,0.5683805567613855,0.5520337111766328,0.4699045778889468,0.4729241486519792,0.43722956053887563,0.5157742858134563,0.5368575318232601,0.6324110259907424,0.7981859287635688,0.708411144172434,0.8018424437966628,1.260723098304648,1.6349630083854638,2.7854124241173857,2.9873578663159615,1.819669646956673,3.1596863506019646,3.6010669425842012,2.269857008925313,1.8947854136101707,1.4639704309919594,1.219086920106134,1.0748976772515804,0.8510533747311617,0.8697516088864244,0.8632860133205582,0.9944041834615,1.097927089386747,0.7661301210548082,0.7477606111209028,0.7271353375167913,0.7929559515817194,0.7347724016288573,0.6502302764420821,0.8170218806095007,0.5821406033668813,0.8968015999153169,0.8241541124106351,0.9629561670787767,1.1999842577797173,1.024043800017756,0.9029898033935134,0.7612889760532098,1.0110688449189176,0.6492372783479912,0.6330912346962092,0.5534944135887195,0.5807657472297223,0.5073871761184592,0.5281641969388279,1.141950289319431,0.5912476412904563,0.9232157856725479,0.4607040385457072,0.48616786789554645,0.5225964232586706,0.5120888749813057,0.578106268207584,0.5939660760370543,0.8620436264796391,0.6711897474373706,0.5895876530544569,0.5383972970680898,0.6751486675363443,0.6384968873186795,0.5207791208718187,0.44826772827659167,0.6524087761655036,0.4186791377589799,0.5358508098128676,0.45117789760919896,0.44173152696485357,0.45784077932993006,0.45561770526161355,0.5589959068075447,0.4678511904468254,0.4474254917800982,0.6757232601985333,0.35711279884421576,0.3323438899905044,0.32614353680753316,0.3575100215832896,0.3818777861317325,0.43227681547270225,0.5060311091527575,0.5831969650906033,0.8237855751067097,0.561115368479815,0.5637444792406621,0.5170645318980552,0.5666344589971785,0.40319527764069657,0.33891903436938237,0.36000441834759644,0.32138579581086196,0.3675749497651393,0.37398811009505906,0.4172948611055866,0.43315846015580467,0.43234677560628937,0.47106386358871244,0.4862007833396982,0.5261166311910882,0.5119140363261437,0.6884010411063575,0.5081214238846355,0.4926262857423388,0.5054697201769278,0.7672755375656576,0.8423646394474048,0.6567357254389214,0.5323807390792945,0.5351565437111416,0.4895283675407423,0.43361337976437364,0.42294311441683685,0.3546357159943815,0.38673314309135615,0.4281239059209946,0.5211572731998857,0.7075937281908196,1.6252754178589968,1.201610080134112,0.5634900572250694,0.4189245405632468,0.4185371751760329,0.3672049874115686,0.39571744384358437,0.43799127662714427,0.4650663065212245,0.4737261954852059,0.48319323564002664,0.5501593644063436,0.6564224324352986,0.6265524448872117,0.8624966546093514,0.9162475743583559,0.8367297778233032,0.6172457118591538,0.5211496015171173,0.4961502394758938,0.45651377624102846,0.41981529694504777,0.4595063082925466,0.5031494144124771,0.6340773710684329,0.49551790800293505,0.4735493845179855,0.6235223011108303,0.4063572300024164,0.51273929055447,0.7101864431893483,1.5773869114874315,1.8574153712379964,1.968665137429188,1.9905471612632182,2.275919516338566,1.442806705762672,1.660685564692591,1.2428386509159168,1.0582674615854653,0.9860119789092964,0.8712245258547788,0.7387883156963129,0.5803717475646949,0.49332623194833947,0.4859148313155522,0.4870826971326027,0.37556109780360625,0.3653981368864994,0.35423271889193975,0.3769144138009677,0.37443766201205864,0.40785735002670315,0.4593744501970205,0.4559298957003746,0.5056034784052343,0.546228348900495,0.6286111449410741,0.6620800267390109,0.7049604848468985,0.7900151231406266,0.8499132480812582,0.8038819088807654,1.0122590144510961,0.7292727446185511,0.5940586865937993,0.6537104516462288,0.6031923720857417,1.1326209386786834,0.8275700458723848,0.9179143789575819,0.8555027420453455,0.6201600736272657,0.6260592813505824,0.6102110405689796,0.6101670403257717,0.47010087296652125,0.6120554626427006,0.6114598700728298,0.6769047009084155,0.4919796103765924,0.9564029079777256,0.8566159755610361,0.7878807467688125,1.0344719664452355,0.5175135418830068,0.5964415373707725,0.5958700094807988,0.6081364561930409,0.8077130593150391,0.9091397273107426,0.9455415094215628,0.7326353894378029,0.6132990059212738,0.7592923296660692,0.6864809284601971,0.5045435056975259,0.6304833994449024,0.7339444944748448,0.5662525471391502,0.604118883461096,0.7997808826621693,0.8841835218653787,0.6874369475804991,0.6940913279405505,0.6192009410301388,0.5388205428920944,0.49693561331720776,0.49734484951003605,0.49938905938251466,0.4788341036131469,0.47647804644369673,0.4864572398370917,0.5404153039875489,0.46392736608643403,0.5078377899811078,0.7217050788942343,0.6096764636373284,0.6697134031056811,0.6871806979300337,1.0210856500151073,0.8761670366141361,0.7974600818561133,1.1114199757902112,1.3027087315498893,0.9781445366582422,0.759017056940252,0.6656677138446712,0.597863861504462,0.7589689955894126,0.658609018696639,0.7560643684676254,0.7995025238504373,0.6036230888502662,0.4639065303272043,0.40377828732509724,0.3941214465283649,0.3217072504126745,0.351504642789245,0.43022824784578345,1.3367127483460202,0.4286391632233618,0.4186089281404174,0.603433640577671,0.6688979424656787,0.5161164121762319,0.7102060748770617,1.1855790691018224,2.6967066496340784,3.610977039608411,4.2705638731422],[0.5197421940998243,0.4038605502944236,0.4136376831002043,0.36030567636521343,0.4125618225150132,0.3774234114131882,0.2586131538417254,0.28480673977456306,0.2958537166107445,0.26311098672888816,0.30283830389541894,0.3979884009586585,0.29924293032093957,0.34109736790023726,0.45208097349257137,0.40382972760101116,0.4469923486292801,0.46891674403193306,0.6209725220569565,0.559275320761185,0.6691951728152187,0.6810160341597454,0.8169741893626514,1.0520274978231616,0.6837311079297049,0.678327104479549,0.5689063387655178,0.4501333099113881,0.42467833694568075,0.39324660869211187,0.5129473714220336,0.4162750031194684,0.5791224677119771,0.550754666394056,0.4590135010967468,0.4456177964123062,0.3970918829000307,0.45973050420481987,0.45789620991985003,0.5280518456951323,0.7387497837456892,0.6337237311173329,0.6785479174227678,1.1115764545033868,1.5030547287540637,2.6787485642171722,2.7853662301900486,1.6081056939835316,3.088255639020929,3.5418516843282433,2.111251601243236,1.772273656170484,1.324695679227395,1.141313725299049,1.045213727221946,0.7098392426858178,0.7258323184221098,0.7396231822987249,0.9404622633228479,0.9586728787366469,0.718602601626361,0.7134085893266171,0.7030821895001744,0.799284155156961,0.7069011064060783,0.6192371604396958,0.8065229559860956,0.5959101707336888,0.9220611697456365,0.7852533599621893,0.9543619689204701,1.1854121210856723,1.0360048353550348,0.9124487562102378,0.7457070930074228,1.007294610354206,0.6259109925799375,0.6260443764627398,0.5151863723319184,0.5378674718834786,0.46679111456886924,0.47205410235959716,1.1789642417910962,0.5116637350433653,0.8083999775144365,0.405070953614728,0.43501192301598124,0.49056307087803014,0.47635314254184513,0.568999194134558,0.5802649434736035,0.8372169735375091,0.6554509325377639,0.5822043271934857,0.5356740804759031,0.6692352656727308,0.6036080024313697,0.536357373310024,0.4757018310674903,0.7037931826090844,0.4448231164455602,0.586435338328291,0.4491176228484154,0.4599681687924117,0.4589397521397662,0.4489686684884234,0.5734176670054852,0.4102880371129077,0.4120319207667,0.6859340440393582,0.33117012771480875,0.2961469789331428,0.2824404491846108,0.3104661485222745,0.34127144888293576,0.378868457992861,0.4543283434893573,0.523268143041052,0.7558681368822068,0.5498417709989367,0.5364404021633153,0.4770260324389695,0.5254854400317417,0.3455833218050153,0.29622597555559244,0.3344713296733448,0.31394854530338606,0.3339234503788324,0.3357573903239996,0.3891276222524458,0.39131500865046703,0.4147661154824982,0.4124925641616618,0.4439764913052967,0.4761302190888968,0.4703790922267458,0.6868211900862182,0.46030524565152753,0.44804980725288074,0.425486150763337,0.7137632356669211,0.7575083644439145,0.5890263518503418,0.4530540761947997,0.4422363840871647,0.4289306007681774,0.35977461330250354,0.3693774287628291,0.3197727267915126,0.3546529182809794,0.4236335309669909,0.53662994477279,0.7838241097353269,1.7563271708840773,1.222529995363143,0.6243188966694043,0.432981064788736,0.44189312671822684,0.36175733478818084,0.3963171390393185,0.38354356105639276,0.4010311272852527,0.4032794432639422,0.40446424383218565,0.482936782875375,0.5902862010210728,0.5467808240877245,0.7933359057773466,0.838138668332878,0.7860180453083649,0.5506789063693114,0.43588197412176843,0.40667965136067386,0.4022834716244467,0.3637259934642599,0.41621885833159794,0.44711690972302404,0.6392537869137729,0.43945083589495426,0.450045751897683,0.5402750369543708,0.37195556122870205,0.4244826346334103,0.5892823868890297,1.5218219585471164,1.7852922875913197,1.9092184974113928,1.9258225597821248,2.284980081783072,1.3504447902387713,1.6825746726893167,1.371500289248671,0.9046297219206071,0.8851652873529167,0.7659230335918542,0.6189549809127376,0.5774799548632251,0.4710543347221155,0.47347963338468857,0.4739058152379663,0.36363794103018615,0.3707059902542791,0.35604394962498725,0.39046390827792393,0.4021347511587062,0.4258844586422074,0.4878894806734426,0.4747071695417813,0.5248844122560902,0.5456661027521699,0.6318366541276783,0.6569680818224022,0.6873900063875257,0.7836229487602674,0.8188379413972333,0.7886184815368209,0.9884800099696773,0.7538235806785527,0.6153450015245595,0.6560937037373662,0.621689122889491,1.2137577559991704,0.8220260808697994,0.9274475488564179,0.8228614755815191,0.6327325450108834,0.6599182808120572,0.6372866653103068,0.6431637921825146,0.4677785909558248,0.6188736673589841,0.5902528801993905,0.676644348201098,0.48368740978119096,0.9257687007314721,0.8143884724144292,0.798240704365279,1.015154499879458,0.5169766861280658,0.5649233330035834,0.5818187661835501,0.6390263258971121,0.8332138321375789,0.9685533478724568,0.9677896099698463,0.7688357827284517,0.6387014472967034,0.8028887045075532,0.7316533664761908,0.5455090046885616,0.6753992551217527,0.7696055816371014,0.592499595213757,0.6336017485493017,0.8378738560462636,0.8751159164081164,0.6961747544927149,0.7200347202317906,0.6470573918529142,0.5676629379358318,0.5293353065977031,0.5198056633300691,0.5260899777781902,0.5031271405612864,0.4975920924495102,0.5030377937585581,0.5555774154102778,0.49907169500166915,0.5367108416618595,0.7334248232787589,0.6612524019551372,0.7059934321658795,0.7179803788968646,1.0718283420498436,0.9435933634907423,0.8773036691048022,1.1083726921746127,1.3054017917756693,1.076891478456733,0.8177824773693426,0.7093573877482222,0.6095962192574799,0.8119049633801678,0.7426850770118175,0.839544737650932,0.8538018347307685,0.6462617942845256,0.4958902861098039,0.40263151253229756,0.39605432175313887,0.3344517380137662,0.3669217845742897,0.4864858420049899,1.4011869129193213,0.4414877646523284,0.45347696972857604,0.6508877707919456,0.6860921889657358,0.5292449642105992,0.7058179812848921,1.268092574460428,2.7840483620654912,3.788726208668131,4.322500717546057],[0.479210275278539,0.40724654439688074,0.3751911842923511,0.3368878344083561,0.4355302343125087,0.35736479938137894,0.27290159003718983,0.3291546088870831,0.3683418500821227,0.3239323179946421,0.3435610141220745,0.4009819680759703,0.34059006562831445,0.3704723589747409,0.4352864407818546,0.3955459216988002,0.469695484312381,0.4421693514379191,0.5564254778656734,0.5061205912874469,0.580696216517866,0.6272730228491062,0.7960187973290294,0.9300904997579935,0.6884003041202944,0.6249925949197087,0.5312088284025711,0.44592550217855476,0.4250805723259242,0.40036537407734296,0.48693450628406026,0.40002202263416153,0.5136161978590378,0.49872836475011817,0.4260166102261281,0.4025358769763864,0.3992711536396329,0.4248608644219902,0.4430230711583493,0.5256783797593578,0.7172387494467342,0.6198911045602145,0.6816855043279376,1.1735761195028727,1.5871589499085876,2.758015562204282,3.040162371634801,1.852328948185054,3.1649412090085187,3.77172671735954,2.257731803393225,1.9190966200169148,1.3741242434614518,1.1256461495663634,1.0527541724840175,0.716727427317276,0.7381139174015531,0.7628472396235373,0.959091845384754,0.94778482105046,0.6885901923214776,0.6744439403674545,0.6489555104894454,0.7169294355982075,0.6564322538945131,0.5797281306677228,0.7483403242024924,0.5293904468040943,0.8606224610555618,0.8065728038600042,0.9815553534951315,1.209851861107548,1.033531642210921,0.8704875600716404,0.7147803396424665,0.9463144585975952,0.5748446215730904,0.5616760178315778,0.46500973345484037,0.5046520746344165,0.43736978363471046,0.46389023092679516,1.0749611204740868,0.5244524684353811,0.8159096324254608,0.4129473130462665,0.40793486986944016,0.5056902297665681,0.4421253858764149,0.5242438663094552,0.5288114538594042,0.8113741017505565,0.6211940980573365,0.535621204990544,0.49640263289803294,0.6257534873938658,0.5779762757586947,0.5015635237008611,0.462264233447933,0.659323790198002,0.4336723329254696,0.5965895338826774,0.414840080278021,0.4390720161418469,0.4556170642668535,0.43639364036153416,0.5712048476431228,0.46645800900941514,0.4549289206799869,0.6939636705437322,0.3780796060511229,0.3299535751651136,0.29954611113939866,0.35998026601639427,0.36379992596018035,0.4038279502672399,0.4698578178743465,0.5444965771184865,0.7652601048943565,0.5447603007988064,0.5330941919600731,0.48944743460386253,0.514411911179486,0.37683494069633244,0.3450145980515745,0.4025241951475331,0.33731998106861266,0.38539185187187947,0.37340442585591926,0.42563488865562155,0.4646424502455541,0.46999402905868304,0.4809598712408277,0.49116946877611223,0.5565455996446494,0.547149512632585,0.7471021968706768,0.5278630995925383,0.4884221637423751,0.489889736067838,0.714439783513768,0.7465897372409223,0.594334609769225,0.4890669320370393,0.4950590772981753,0.43459237596159106,0.3942395091887499,0.38517622804686835,0.32282625403950543,0.3846577201067017,0.43079359154694064,0.5302243433436787,0.780913316912248,1.606708597617935,1.137180982312154,0.5935366651148709,0.4262522234376072,0.4271099367995598,0.3485656042560442,0.37987501519042527,0.4144220185291805,0.4149855712132559,0.44118022267984874,0.4263673794005828,0.5337228741690792,0.6362896920786396,0.623733927137083,0.9147840968912699,0.9731044614779065,0.8787101433978669,0.6394476662918079,0.5075099798729801,0.4841659756900836,0.43305708248387775,0.3699385686871816,0.4055077472044516,0.4437303604121178,0.6025824698171101,0.406734321524141,0.4282763368118306,0.5569548472131609,0.39771390025588976,0.49999570635133006,0.6743502792268327,1.7233477260172985,1.8286629801274497,1.9905485476754428,1.9387750309849394,2.2720652829362575,1.3247295298588608,1.5518757913498906,1.297362773728203,1.0870234322652235,1.0094584123686856,0.8789486126040308,0.7341983408261457,0.6188010931230665,0.5396559382245042,0.5264211933822802,0.5124671986169298,0.4116187186639027,0.39805042721620976,0.3949713857579941,0.432369266745295,0.43174749193612816,0.4579036207152063,0.5041409271471456,0.5104919887122388,0.5782826356740821,0.5903438454346533,0.6629644969160866,0.7340418838126626,0.7808656434478489,0.8204651621720199,0.9035559957549608,0.8497153867632471,1.0751248133665403,0.7981962897473912,0.6663969792348681,0.7265462663240272,0.6999897845802389,1.2066469330213416,0.888001311952964,0.9443144455315102,0.8934107346448192,0.6624625443355898,0.679083230608926,0.6274448928618168,0.694899901514724,0.5025676225586996,0.623422387020277,0.6310702213732716,0.7406765359217045,0.5452748703404193,0.9170294173184045,0.930282940108509,0.8486618296906735,1.0557842741338817,0.5759301781905448,0.5919445066303611,0.5803316012673807,0.6164949170063054,0.8096834196143116,0.9490721881598605,0.939728140152345,0.7687554415969214,0.6439350306937481,0.7751930091493399,0.7432271624266356,0.5652813428305634,0.7247133746268085,0.8375506741009349,0.6637118448716165,0.7202963950463338,0.9247366032371472,0.9990229874663795,0.7801929766010421,0.8023483877100346,0.7214332962934692,0.6394912934616845,0.563618705526175,0.5506161047544176,0.6024853029504275,0.5565086089403299,0.5297300190655109,0.5650921628392982,0.6149848215980888,0.5446529442306607,0.5898548873396615,0.8104105410218982,0.6909971826077325,0.7490480773486478,0.7665318948950984,1.132975210184308,0.9769687619159065,0.8959020184299816,1.1374551064088605,1.3011218010366,1.1154170157768408,0.8376376552928122,0.7171120389094616,0.6269963504644657,0.7957582928879985,0.7579150788182465,0.8848146355287339,0.8930368402191964,0.6834639808865848,0.5241595105714776,0.457672359442194,0.44095718632064995,0.38515278571292105,0.3916631596925453,0.46363285479978184,1.2960510362688145,0.4632145537902853,0.4605122461320899,0.5815204288417732,0.6856877048461484,0.4971478447489071,0.682984687577622,0.99990550719113,2.394325828019116,3.18450916394743,3.449369181485118],[0.4625330641200426,0.3440423725981486,0.35486164151327815,0.3126084244874409,0.402823630619534,0.34365818420086475,0.24626347812130864,0.35476583943990064,0.3315294216110949,0.2579144745885768,0.28613977328442675,0.3803669185150475,0.26511076744878687,0.2820434157126355,0.3758764601899115,0.3120857065074932,0.3830660653400598,0.3668645933440744,0.4965537592053256,0.42425161548915563,0.5085994854578431,0.5692851636749806,0.6732054186033258,0.8305911398766033,0.6009220395092331,0.5358679175161779,0.4262835091683651,0.3427161965298549,0.3365605537943484,0.3430203437190113,0.40923871300158754,0.35594218383986354,0.4473921184792538,0.43756436843967644,0.37130822820891385,0.3478478157870443,0.35178714423709145,0.3569524072862704,0.32753141094470434,0.43166134289902836,0.6834891692507921,0.5246694037459271,0.5666285227961986,1.075978866821419,1.5261967043696145,2.695989951633405,2.9452457799359095,1.758522598910403,3.1103083380169276,3.8299384867769435,2.170454220060428,1.8683670450552399,1.2921773122974847,1.02708431925007,1.026093862352989,0.6169008506206671,0.6125923026756809,0.6604487448048988,0.9361831681051797,0.8582930665406254,0.6029338604500564,0.6090365356414544,0.5850854655823644,0.6286606134806697,0.5448764483687536,0.48678941212981375,0.6880939505731481,0.47398581854049193,0.8022848806587707,0.7298929024833395,0.9514296852791452,1.1660743661162887,1.0045146002546885,0.7949484428906644,0.63349869604082,0.8397429940987149,0.4891114539821218,0.4862798033032784,0.4014058608376959,0.41770044312514243,0.3836776203605292,0.3920347107864132,1.0445915363317875,0.4730098922745939,0.6897464498441487,0.33247814063975367,0.33287414264447684,0.4472855267726212,0.36156544564443305,0.46908006082194004,0.45242841529287625,0.6952054639629434,0.5163730554578055,0.4430713946272418,0.4222171737223566,0.5431034207144748,0.508469770798371,0.4561526439582668,0.4373136600229155,0.6485082069568503,0.41542873101575833,0.6424137888871728,0.3976314952556199,0.5194414280908233,0.5055963204431428,0.49115785424993275,0.6775492389716659,0.4501840330733995,0.4711705920433054,0.7409176036708934,0.4151364442337114,0.3149378321610994,0.2636376512328275,0.29522206003533763,0.2853827900919431,0.29507949567854,0.381840650879784,0.41257003867188696,0.6006085083236353,0.45339847201824157,0.4084971832991919,0.3601800249376656,0.4034229289819887,0.2737688915209487,0.2642720079253754,0.36510909854815804,0.37437674007024574,0.35991529881739837,0.3650414034324216,0.39223667722348776,0.4144161333934468,0.44227632406633055,0.42274850686796916,0.45828798547694094,0.5118278746793015,0.4751605821310496,0.7202168893724041,0.4382654373270412,0.39398305888326546,0.3536065021327149,0.5961927701157284,0.6057889608735989,0.4506087799724572,0.3440180732596408,0.3866496318268846,0.34386368732093875,0.29954322081621254,0.32413166644338653,0.28227821455200863,0.35765810252749547,0.44734477125064637,0.5165850111331689,0.8310000545784493,1.5479945536840052,1.0553349995535233,0.6039578146356446,0.4082848004101676,0.44604484144134654,0.3248074866730093,0.39702169008224836,0.3463696168998533,0.3329952378044262,0.3274641462914023,0.31317989918370054,0.43677046211953086,0.5831002765291647,0.5198247606858449,0.8089449465240316,0.8941649765805629,0.8037932103361106,0.5488323653983861,0.3961174031264277,0.38321534441557525,0.37109434855859547,0.30368229245468087,0.39002525856084597,0.3940604192990761,0.6318065727594822,0.37690673179225614,0.4364964595040572,0.4709847924092526,0.36604248220518376,0.4059528116950552,0.5322784351767949,1.7169874032672057,1.6737858400395567,1.8665969963219344,1.8067758173970605,2.245718652222442,1.2450875378045072,1.599315410512142,1.461799788714393,0.9539747323118476,0.9468013288873118,0.8181607060683257,0.659812998750754,0.5947220178861337,0.48900547550515105,0.48636339100580855,0.46725415313476554,0.37779462095735933,0.3909504534835432,0.3767303302316279,0.40499257561080076,0.42552956200941566,0.44837763193108504,0.4889322490811515,0.4891597198103563,0.581433794952156,0.5494862483198585,0.6237411456227945,0.7067264973030205,0.753512038503422,0.7721979837572296,0.8477637419266092,0.7993027388775527,1.0452611674766579,0.7865350184298829,0.6407145781898536,0.7189833995258356,0.6979272189962022,1.2424312974605485,0.8890802667290225,0.9675342877231209,0.8797480601654417,0.6712163910069785,0.6763388536039934,0.6110091100443943,0.6934373466469437,0.47582380778253136,0.6567762375019658,0.6193930934068276,0.758423713031203,0.5479941962554341,0.829910292957168,0.8934110675910327,0.8362803855796174,1.0037193318329358,0.549584125656592,0.5443989785279048,0.5496341047082641,0.608981170863141,0.8116324973290248,1.0183865936716814,0.9440674020954746,0.7950540463309693,0.6723417962348022,0.8225352309688506,0.7962856920872736,0.5947906027938112,0.7786784582157188,0.8904409158981014,0.6924782795555045,0.7666015331743642,0.9852126005019584,1.043822711212044,0.7977359127916253,0.8356218290911486,0.7392586910911281,0.6659336576934748,0.5898303270787668,0.5748956908732754,0.6033500469696937,0.552973054634615,0.5422441841477932,0.5629221956111776,0.6029939743523525,0.525374498155804,0.5642277468618919,0.7764694274566095,0.6789101688243546,0.7308635005799422,0.7458156396016253,1.1260673216625583,0.9689466125977237,0.8981296760186347,1.0590929332653625,1.2356335232004474,1.1726281088417179,0.8532870967173308,0.7120535812010903,0.596536320828742,0.8291416779466994,0.8080767846990318,0.9302643103506897,0.911684912764976,0.703768026711981,0.5090275886805872,0.42612092103126764,0.4289863810137808,0.3757754047046829,0.4168152172599265,0.4924808652879875,1.2912678611768291,0.48059143821914524,0.4586231809856703,0.5820938612751912,0.7402669786321393,0.4445602922060153,0.6148879571635546,0.8242996739198469,2.1603935153411205,2.9682409211241287,2.8916733134589587],[0.5340863207094793,0.3122917561133602,0.4073167694742627,0.33629673139574434,0.3826221659378181,0.3772817301033711,0.2507253638753347,0.37964930926479895,0.3334190768922577,0.28524855120516823,0.3273069383121218,0.40398994016298895,0.32319359227584954,0.3233170167991485,0.44733190545750295,0.39034248302965113,0.4319736361860609,0.4292289225284005,0.5415561186783783,0.481529146418504,0.5698979405223787,0.592158878113794,0.6883445814921689,0.8849253237286343,0.5943711047668345,0.5701255721586898,0.4645852972074192,0.37206568946367047,0.3899400787710935,0.3952727345423206,0.48019834834635766,0.4461990445200446,0.5492821255046165,0.5281389381455588,0.45444994444316206,0.4013488313302847,0.4150717138976115,0.3995758709920618,0.3688809787924827,0.425520816198289,0.6679642650550913,0.5513807502294903,0.558412008796828,1.010112532340323,1.4307058030899298,2.6257318419534657,2.761509349564957,1.575165239790557,3.0756310807670313,3.693549344678116,2.0439258741979196,1.758726620625096,1.2247258045074443,1.0429542487150585,1.0588314881437089,0.5878257722394851,0.5954174283151568,0.6211050142663557,0.9131696396593466,0.8040290214210464,0.614449089837052,0.6467736821178479,0.6303371047018768,0.7270292257700799,0.6043323711586178,0.5289965180211323,0.7253728470626958,0.5336012881002231,0.8605699706416288,0.72811917932541,0.9319852528389317,1.1920937166381251,1.033007970578981,0.8503018067796282,0.6749172156595192,0.9056315275919475,0.5449400043603598,0.5674511749095568,0.46901712051895084,0.4779565665629643,0.4517334976526974,0.42866359741584503,1.1493669777757791,0.47364723217035476,0.6385638997710432,0.379841807934078,0.3887071168400753,0.4827794190052408,0.4221033444571189,0.536674978914829,0.5144802060471262,0.7476355795365554,0.573878402850272,0.534270065725919,0.49941026738670113,0.6074273398586787,0.5563863390483414,0.5232450712592271,0.5024050598773598,0.741488285804638,0.48357503333024576,0.6707060039510271,0.48060120284606556,0.5364133622092586,0.5226159609951838,0.4701756773964022,0.6482521893210583,0.39439658337402056,0.4274681695876024,0.711664382057746,0.3784155921858387,0.31006464816915935,0.2673498150564831,0.3103287960821564,0.3220491579957191,0.32012612736679175,0.40032964527483555,0.4267968435700675,0.6183580102484847,0.5135194126993337,0.4451494985242954,0.39361355106159734,0.431847767570193,0.30573072148215946,0.27639864244219786,0.3417604975260496,0.3149258878311868,0.3368204673828674,0.3198174398790135,0.37011041783154686,0.3740426590342624,0.4070059245762613,0.39275687061655834,0.43916345461135037,0.4880246559535557,0.45391407165762343,0.711529870312957,0.4250263424528763,0.423215146854965,0.36709429252439113,0.6284190251971191,0.6180770913114498,0.4798455451022044,0.3576114599435019,0.3763337648205526,0.37553407229892116,0.3139295797013739,0.3457462362267115,0.3016200754394801,0.3636288667717933,0.46938001579975713,0.5384580983517745,0.9194597025589275,1.7331155182388311,1.124219332854781,0.6856154747152209,0.4693489947800493,0.4985156315145566,0.375203926698624,0.4098606829711661,0.3545450133638879,0.34675751257420506,0.3282280807694467,0.3172404962886025,0.43730774782366977,0.5431963025777341,0.49644729421472616,0.7745922379989818,0.8439647600820066,0.7914433261991629,0.5319703091980088,0.3839499755780937,0.3778057198774125,0.3574619698321628,0.3108579377921785,0.4147880604451276,0.43075108266739653,0.6882957598356108,0.38759495498950264,0.4459270361764751,0.47020976353655897,0.3713468754002439,0.40107606335337587,0.5010703871467351,1.6075662994222006,1.6718265744246485,1.846504438065544,1.794915914182384,2.2691191339896353,1.2116520607176897,1.6372071486733863,1.552979089503428,0.8379436608222414,0.8967645062815693,0.7519140318025522,0.577667323931854,0.5517732949482786,0.43170958402398435,0.4407545339963588,0.4437548794286334,0.3670677487648737,0.4045679480088293,0.3597059723808527,0.404239735357059,0.44277732749152404,0.45311950437813203,0.4916662034146033,0.49473443696630837,0.5856991722058393,0.5328749996230068,0.618415563673527,0.6856282529001266,0.712034075871599,0.7561042371410736,0.821559947581245,0.795531747228106,1.0375102180808744,0.8048768244276946,0.6413313738398629,0.7006271519002933,0.6985697637373491,1.3151256396230162,0.882699301392708,0.9491606962387067,0.8576632729823185,0.6761151272406853,0.6913178364805864,0.6395349457651753,0.6759738094148194,0.4729506649435051,0.6899147687837363,0.6080404537263805,0.7476226889173587,0.5393089869498464,0.8444272092871304,0.8023955161416763,0.7920764793032761,0.9495557656053025,0.5022654991898939,0.500109590778252,0.5551405752714327,0.6542607971281311,0.8558177169265869,1.0592241804824205,1.001525013058845,0.8336202456051676,0.7063568522729279,0.8996610781630116,0.843259879994812,0.6313461968443679,0.8302151376546403,0.930354382933458,0.7092658262471195,0.7937534881523822,1.0173192938219884,1.0119146882591978,0.7939668197305288,0.8478075686758199,0.7447950319927334,0.6919195635177046,0.6202288063011542,0.5982679096514687,0.6219028283038472,0.5586090298708374,0.5619157708088648,0.5655494184079104,0.6014274085474645,0.5134450725879216,0.5471063426872462,0.7691490003892315,0.6814872051072439,0.7055647129336253,0.7166161783438897,1.1091050511519942,0.9718134318221717,0.9195625267107878,1.0417459857121676,1.225119069321678,1.23676405788548,0.8981810675430026,0.735740683176743,0.6285065101583541,0.8926672603280462,0.8389744803774142,0.9428694405101881,0.9026299476792584,0.68788654920845,0.5103138108434893,0.3892583844237476,0.38897846995796825,0.3565755634487708,0.40799725329977776,0.5618577668382304,1.426414018283221,0.4700163622666727,0.4979898802021784,0.6400206376733569,0.7600576175448769,0.4680152634186591,0.5969847153360262,0.9579042457888883,2.279841956594007,3.313059611333768,3.169025626376031],[0.542075085417279,0.30890255721643606,0.4485023376928221,0.314333268926865,0.3838574141588643,0.37827340520975905,0.26646965446700294,0.4273833786218919,0.3227492208391075,0.2671020353552083,0.3257692980857164,0.42787324375382035,0.31531849216427754,0.2890839109404686,0.4139268415878807,0.3530370702523817,0.3861755819956706,0.3618146443065237,0.43309179365682937,0.3930495685139968,0.4401011705992407,0.4969681968357869,0.5802246529616916,0.7182442913423154,0.597781513248772,0.4743902973906132,0.3690969581157513,0.33021806864396613,0.3537539210811718,0.38261889281375705,0.4323001211008615,0.41071835402709245,0.5139810027008154,0.49105567895380414,0.43034990903675313,0.3692525218037254,0.3840974162182457,0.35160072462425984,0.31862247784156156,0.41477520421165887,0.6384094298496752,0.4436752001171277,0.4534897841677114,0.9095624713727025,1.357940761534123,2.580620052438031,2.7639753475859945,1.5800594811134718,3.038146192474084,3.8134342398212766,2.040358898590943,1.7807141556520836,1.2326490879464422,1.007968928910709,1.1067438511650143,0.5772987854104504,0.5068511587665477,0.5546990815355094,0.916553152059263,0.7248140664347578,0.5302708907661609,0.549526321600897,0.5580402059069995,0.6121156852826011,0.48247184100748436,0.4429730361569531,0.6511955560081869,0.4561481055681062,0.77385977882143,0.6907666932484141,0.9293868320271008,1.1518750442978023,1.0100052260026655,0.7477235508731818,0.6203020349714272,0.8248461830921542,0.46456783948076513,0.4966219164824791,0.41644745142476564,0.42547527348225417,0.4408982621897321,0.4202540742476429,1.0776850145180377,0.5197715392833403,0.5596800942576021,0.38082260210607705,0.35047952530267384,0.48029432099656405,0.3652020192581013,0.49404526946117233,0.43616544404872437,0.6617534990638481,0.5035554588599254,0.4695857756110084,0.44380564256044447,0.5440564920095378,0.5305947996974743,0.4945101228092995,0.4810895901329001,0.6990781578632537,0.4941037926193393,0.7017139766199108,0.4954000955175096,0.6204104696263205,0.6181626129184513,0.5754084325216821,0.7895438222330935,0.47277305492073723,0.5102473360649172,0.7902812063148857,0.4716135120652715,0.3605167502110264,0.29150380580709884,0.3238995040065013,0.28573840340073803,0.2945189850601988,0.40983008314865654,0.3932954867731989,0.5335492669544224,0.4623365975060311,0.3874487547645305,0.35244799338715127,0.35690536184996013,0.27111406084902584,0.2688460996427221,0.3625916695826232,0.3984080888937244,0.36627999864016536,0.38387993210113,0.42376357191381187,0.4046479814007957,0.4626447032576212,0.42181546782829227,0.5030148902479803,0.5030805431835685,0.45798839610542663,0.7081680665482536,0.42748753763383485,0.43838429840444243,0.3605538001332489,0.5731257202484542,0.5465579169971214,0.4309089968426981,0.33608621346859224,0.3768801144163913,0.33094525856575546,0.29464885143502995,0.3305258243024972,0.32960059849099915,0.38978005130199056,0.5184477925226536,0.5496053220594673,0.9220022407087345,1.4940523575979903,0.993849489411789,0.6654478458557328,0.45679318197020924,0.5177196511845371,0.38166088819655775,0.469043897307851,0.36145849269171554,0.3392619673939056,0.31896048390312903,0.29654709617309993,0.42622011063601684,0.5393135153739043,0.4678850889887988,0.7343745455249692,0.8171917026733255,0.7589109631790012,0.5104211332363815,0.37894539488034046,0.3908623314983372,0.3991793973997292,0.3502162319582594,0.44796383589840266,0.4282258857567354,0.7313924400972771,0.42186982399067,0.5225112053263387,0.4919848061159117,0.43005669244665795,0.434600964103822,0.48645159856576825,1.6498761489442677,1.5371933164558516,1.7513793783418987,1.644865184799687,2.1415991148357696,1.0849390885162837,1.616923119140553,1.7040261865720432,0.7953412600342311,0.8706455634768601,0.7282454828945851,0.562850077337761,0.5591371122276125,0.44611983382553533,0.4497574629293878,0.4558360056372012,0.3987605270143293,0.4557838425120907,0.40577155256146413,0.42387380181767287,0.47491202153723283,0.48601887658794524,0.5039240631162307,0.5031098849202157,0.6043230382368099,0.529537102186558,0.6123590202010375,0.6860676993330113,0.7185848973343907,0.7474967424151929,0.8142560171395185,0.8049715681595252,1.0271009813773329,0.8225212152385258,0.6546777886563688,0.7137862569107045,0.7160773472417232,1.3264246563794275,0.892215809619354,0.9498572289782551,0.8813585313610511,0.7035926172644063,0.7070412286601927,0.6522605195704213,0.6902468339129799,0.5086364799436247,0.7279492471458484,0.6415832141399033,0.7984284495477342,0.5953720024889416,0.8159152180636317,0.8356556820057823,0.8030809106673117,0.9073563067501762,0.518816669154194,0.5226911866018564,0.5838427899287311,0.6761923175355418,0.878411820931771,1.0939453270812287,1.0073762531529649,0.8747849418851313,0.746921903695656,0.9268729514259185,0.9015905557744857,0.6740327019101219,0.8653690611827248,0.971691088074975,0.7422856597566804,0.8235323180074688,1.0511652985481583,1.0662958446633932,0.8111821323600746,0.8663532520961474,0.760843538610806,0.7141654080085779,0.654572937901094,0.6282762224999175,0.6413415511413444,0.579765741847484,0.5905671775939901,0.5909279895569226,0.6180149788623359,0.5374019666792264,0.5692233188044701,0.7777874287924227,0.6967126889907298,0.708560807831253,0.7285024684334829,1.12111355419072,0.9782903647656715,0.9390881311135506,1.0355549451010448,1.2015988280314676,1.2752530471220447,0.9398239379299491,0.7649284696226728,0.6575729339281985,0.9629390263055515,0.8846307345107038,0.967806562025409,0.9128498992943305,0.7128708810239017,0.5229436328232723,0.4078975881955533,0.4086491137529257,0.41974306354327523,0.4845393065269547,0.5995997681771161,1.3266295952466576,0.5414564324487872,0.5238424743093908,0.6468270803387055,0.8568646150298544,0.45324223212411363,0.5459095522941589,0.7294374530970008,1.904123406126696,2.832412308584988,2.444440954379594],[0.519428260345494,0.33622800354749605,0.5085745819733336,0.30938546330871153,0.3945439994535029,0.4011930970209728,0.2907222239424991,0.46996283159274466,0.3512490283848312,0.29410084397908515,0.3492879957909143,0.4581935411395724,0.3438278230162903,0.31579827640304214,0.46372788232878714,0.395461720621332,0.40488330642599685,0.3930713904014328,0.482692188504433,0.4306978846533239,0.5031667412092844,0.5367388158379846,0.6271106801110938,0.7938466077419138,0.5765383197559463,0.5135685024318324,0.3936542504493092,0.3450210759197338,0.3785004509999103,0.4263161437755018,0.4879508578109801,0.4684089172713834,0.5875682863811562,0.5639310721779954,0.4799955716638707,0.4233751856304935,0.4388100759012063,0.3783939320813117,0.3397544408007598,0.4215951122159985,0.6411394153768684,0.47731558901713095,0.48200055733391617,0.9472388000119738,1.3966224618587362,2.6134612683251266,2.798803351666279,1.595961600206535,3.0558474856367943,3.7926014054971704,2.0471774757218717,1.7685151080717314,1.233044274930182,1.0277696229514057,1.1125914358324234,0.5822673540448059,0.5344284346181807,0.5747773179202211,0.8998815147395238,0.7563043997216347,0.5751783440782188,0.5888465804666192,0.6082134267887864,0.6851599591027702,0.5340796795777214,0.48782348787960794,0.6912236075663329,0.5077170961624661,0.8394504266680102,0.698396635079476,0.9416970980423276,1.1650456493782944,1.0193619035082613,0.8155503135432194,0.6640904900762672,0.9008327828725584,0.5293161773352354,0.5578177220342193,0.467363413936864,0.4756953876159022,0.4726638750812408,0.44497103945555616,1.1448981339640902,0.5630187138076904,0.5739871768937574,0.40252664960403245,0.3806985274845549,0.5144347213099235,0.42240941558170425,0.5425940622022889,0.509507576747257,0.7061854370092683,0.5646376462037772,0.5423116504375779,0.5098486795590371,0.6037717211517811,0.5745224851047175,0.5592014451901113,0.549163335628753,0.7931478617714341,0.5662746345845892,0.7633836615457388,0.5608132996590236,0.6680348899817118,0.6520846390789583,0.6040116945964129,0.7953846075540437,0.48563225382394315,0.5211485059386964,0.7825478211039597,0.47947545397908947,0.36219507355234853,0.3197514227064399,0.34043094302218707,0.31086737040591117,0.3131789176102544,0.4143836026345407,0.41198987100691054,0.5792714451148696,0.48572022935471065,0.41855275742645004,0.3815599906607344,0.4017237765336953,0.2915069699450232,0.2772484738327731,0.3673614725613793,0.40303210877530327,0.3697611159297728,0.38622518358169217,0.43171861243998066,0.40381027523357105,0.4570756671022642,0.4195162493397744,0.503998765480289,0.5017202027158733,0.46028427206948996,0.716747307551056,0.4194978615119248,0.41362589051939364,0.36088064976486584,0.5842437499938558,0.5788834239809341,0.45539278774606723,0.3480812701278304,0.37906915807086655,0.35173790395069016,0.31251499976539704,0.35874436919348573,0.360854528162687,0.432257168066932,0.5683326993699921,0.6193292703916097,1.032540080421415,1.6613376970026692,1.0831518014257533,0.7690449802139971,0.5356694645387307,0.5868962073666582,0.4368244603432126,0.5074630910102149,0.3776303263292171,0.3697287005064274,0.32902325448321956,0.3128852746727637,0.4203155531242966,0.551737576919679,0.4751095831292452,0.7614857592672258,0.8432398025195987,0.7746457755074166,0.5169015010022698,0.37534919801312855,0.3874986644371154,0.4001522590553667,0.37071208148272816,0.49138022624630384,0.4844420473040031,0.7782701802705001,0.47027013729719186,0.5584962108791988,0.5063272573573675,0.4450456315668203,0.4355339507103493,0.5004273395232032,1.632958129290363,1.5517458741339663,1.7669252631100845,1.6713709529173582,2.1853805129500845,1.1236355477837139,1.6115134529752626,1.668776468134835,0.8041203895582132,0.8642007021147945,0.7323148424286754,0.5853848938562783,0.567257693662084,0.4585152779338852,0.46726438517543634,0.4625951624747806,0.4521424323487921,0.5238593441863126,0.44947120957488523,0.4622882284644329,0.5489870892296864,0.5558623857306574,0.5332002058704313,0.5676890571755541,0.7099611805670933,0.5963657314658725,0.6632663059110894,0.7816903490259844,0.8109617181158902,0.7756285986229753,0.8895953133193307,0.8490017373836647,1.1331166336837646,0.8914974524541481,0.7340880935225984,0.8226453602248689,0.8334172812482497,1.4091876959612637,0.9766021891897855,1.0347388859279822,0.977695549621986,0.8120661117968122,0.7752892624742449,0.7063880687772467,0.7649848564413906,0.5869864259288974,0.7860094075014108,0.6966831535185433,0.8624730290362903,0.6444567988257222,0.8172073286746712,0.8986196899964939,0.8326151384149376,0.914535276654057,0.5477653529066876,0.539973667526492,0.6125437992864788,0.7313120712551665,0.9390650852704152,1.1832117997166685,1.0824628625508932,0.9455036451415958,0.8490639522305309,1.0445331762016365,0.9947817256160069,0.7796198839845846,1.0129580130790583,1.118824629379372,0.8644653181786462,0.9836028766885326,1.228515583223019,1.2091485097145176,0.9595816357564152,1.039858904355014,0.9044346832453098,0.8618973430548049,0.7843258866994866,0.7537064497395207,0.7684360238369441,0.6847478074226107,0.6848058805136247,0.6943034406601396,0.7112225790160468,0.6061535327688752,0.6498071213220347,0.8527453837493371,0.7462340617857196,0.7488576978105687,0.7927864566951378,1.1761164729086078,1.0348846384761132,0.998785647840601,1.1232031023129156,1.246696784675137,1.3934520006863247,0.9971272371565127,0.797251034664405,0.6782794873504954,0.9931926687442285,0.9322128777812206,1.0343872384432642,0.9492627458103798,0.7439251950095537,0.5338075539879044,0.425846174932056,0.41760137290370525,0.46593153945313387,0.529268093599989,0.661783198344958,1.3583673645365444,0.5643755773958259,0.5828376761141066,0.7075365649863029,0.9064682896942183,0.4942009569814049,0.5821533587544113,0.7671410043362888,1.776815696758621,2.869000201901398,2.464965157858248],[0.48047641287956583,0.3830856614933419,0.6267536611636849,0.3302376302293813,0.47739754657731714,0.4323105497391982,0.37027121821281184,0.5279986684322611,0.428605307416405,0.3719681968412225,0.4161039411394307,0.5162516960521759,0.4067470637898089,0.3722096847816349,0.4876910209429646,0.42801067851804475,0.4678603008122929,0.43560797851408806,0.4935837256509222,0.44321517768369684,0.4878059566735009,0.5672803780770004,0.6181652408519827,0.722412864987608,0.6189636036093751,0.4972831234040547,0.4086516892911219,0.3787479848990336,0.4295112233784196,0.46873560851419505,0.49672435277549176,0.5042717774315889,0.6090376843845096,0.5818858657992513,0.5177605228141202,0.4560547565379649,0.4770892375491614,0.4290029081642792,0.39730427310309063,0.515766801162345,0.7258141100174351,0.5026088573143281,0.5431582302373955,0.9904789258442207,1.4975035934969672,2.6876731813533197,2.950875841851622,1.7459863956823602,3.0837729511690744,3.9323135881589235,2.1393025231585576,1.9039423839204581,1.3026497762308231,0.998561032401371,1.1348165182855252,0.6429683755346995,0.5653500996709598,0.6420515707600136,0.9995486476183109,0.7678173355148611,0.5747330169321092,0.6007323659028769,0.5865275577444253,0.6414524600192879,0.5229157668107411,0.4982488245068665,0.6683602002837261,0.5168570656539736,0.7934698808243148,0.7168255135200641,0.9376246280206453,1.1425351950304121,1.0021127664279323,0.7821748782612007,0.6500216927079313,0.8624632607402657,0.5206654215633979,0.5498444883732646,0.4959968920520688,0.5018551602173387,0.5458196099162141,0.4938975355843063,1.0773362436574945,0.5835559231416293,0.6378639711206061,0.4807854634284715,0.433897531281288,0.5629080217960626,0.43473719877251515,0.5777172434580229,0.5165059623110057,0.6913330019147254,0.5568218561156404,0.5408482276552962,0.5159415807190125,0.5907343668024393,0.580459432408402,0.5752143482467325,0.5848675528262666,0.8198233910733238,0.6137159694125516,0.8064096026993471,0.6227561192942693,0.7324182013640517,0.7334713436942567,0.692657746429149,0.9132395109131329,0.6161108974196214,0.6415053802427465,0.8682541205061447,0.5978129758370571,0.47481382116876625,0.3996896340846358,0.4144935362462936,0.3628209795852798,0.3749569238147932,0.43580057358979424,0.43072931569144524,0.5451689576246843,0.4948443568479797,0.4287677564391921,0.40965393213084106,0.4308111623269851,0.3510566175728535,0.3571540243666134,0.46634560350638243,0.5739722194755338,0.4626121521462126,0.5179148525604163,0.5383542708699501,0.5088440678603315,0.5598299557644334,0.5243786342949518,0.5833501748385918,0.5871379564400765,0.540036895101432,0.7833003654034152,0.5108568561062496,0.4674884128393815,0.4271333788016419,0.5878443781055824,0.5903853208572781,0.46677339290162945,0.3953364050337757,0.44230382968154386,0.40063356803902034,0.38729030925691704,0.4060456535767972,0.42857194054837555,0.47173544541787055,0.6182323823649094,0.6433451459375117,1.022140180972049,1.4736846237809818,1.0345368173348886,0.7731329716051968,0.5714547487981388,0.6294299886782397,0.5005956061484351,0.5621933780430732,0.4590004489077749,0.423029282758701,0.41641344042437867,0.3874160283293321,0.5380479875183789,0.632684119353158,0.5743146400773945,0.8489727489431738,0.9215302856254021,0.8519657865867369,0.6038812606214248,0.4696235394986279,0.4922832183600605,0.4780083625180491,0.4515531818507386,0.5542719872373834,0.5350091562124376,0.8439140417418957,0.515435337720349,0.6362122080207974,0.5422497849295456,0.5206391748896025,0.5210051559481766,0.5697401068129431,1.789107334372843,1.5393017074285482,1.8013622836936156,1.6988282017664018,2.139299352165151,1.1147246139938647,1.5584499762865247,1.6738719742762418,0.9103460966157552,0.9227147860677756,0.8092222755416358,0.670970558227406,0.6552468832999704,0.5668002211067786,0.567570351015631,0.5499734391971066,0.5414200482198205,0.6200005545077932,0.5448502481463278,0.5463638440589191,0.6278294955184837,0.6424794799227316,0.5902872832433569,0.620738871871652,0.7847458787387525,0.654696425177632,0.6832573515531223,0.8333120766505034,0.9024143525415761,0.7768108235622798,0.9004276515201873,0.851486038987298,1.1596425386831961,0.9316752810366385,0.764357121415274,0.8715688394107103,0.8849306086226283,1.4167139991293856,0.9878771738407826,1.0418889458875773,1.0203901373302111,0.8634105427483523,0.816446700797043,0.7354836713517606,0.8386072074097763,0.6596325435368249,0.8168703624299243,0.769876645224524,0.9366216459944351,0.7243430876197223,0.83961093197662,1.0065345474623968,0.9099739591389998,0.9687631051411516,0.6468435602300092,0.6114781434307588,0.6670069291520067,0.7831823733211585,0.985231827630759,1.2414598308529199,1.1129182981017531,1.0106116310858027,0.9226562387102591,1.1062149866349809,1.0745014746462909,0.8723836942308104,1.1031997919610312,1.2195090378775146,0.9640613782296074,1.0833045032809072,1.3361007366422049,1.3623801643743514,1.055766440359499,1.131728941795469,0.9768733195255415,0.9403932364179415,0.8597246774988127,0.8294083567457772,0.8420006271846966,0.7547680411049147,0.7492812303080952,0.7606187296807024,0.7697000659683993,0.6814004181951046,0.7254401449351556,0.9202821943227415,0.8031987453642673,0.8191793191012792,0.8749683839732766,1.2610370779877642,1.1214064083532371,1.0884625094945246,1.2153096050038956,1.3090539380549338,1.489388160939229,1.0662960101028387,0.8349912210135044,0.7152908428465843,1.0816660812621404,1.027356477712967,1.1372057643577047,1.0322166345854666,0.8311238570939706,0.6036271951995472,0.5320295820969388,0.5357737985367785,0.5952961957576194,0.6371649237643469,0.7440869608172602,1.243708212661123,0.6831623696107919,0.6842392337650508,0.8159666339203812,0.9848726658933612,0.6012380116086865,0.6529743608255619,0.8768592254384621,1.374951637076825,2.3660462328727117,2.153269181051491],[0.25950653223726194,0.42694350257984626,0.6832973301352131,0.483957558347992,0.5990712210110845,0.5572002236132082,0.528039998696448,0.5655171142788088,0.5184994236203015,0.4901870886631414,0.5079359540633416,0.5946641495141689,0.5200301594520579,0.48413405354626193,0.5315567947114411,0.519226546927771,0.5665668420048148,0.5125836456445815,0.5383094375637234,0.5287800244641752,0.4801215058349801,0.4892136278264729,0.8210199624282999,0.8279328127882464,0.9473008129222598,0.6462456962567534,0.5810449463247533,0.5697040936384811,0.5480190567537996,0.5457166427940692,0.5509090212837799,0.5866133762303678,0.6310348596706626,0.5969319194002337,0.5951166586985465,0.5354440894564532,0.5789158991365778,0.5260617490513427,0.5067459885074586,0.6216967132580236,0.6734734990278967,0.549545919795595,0.48865332245799187,0.9879980417780447,1.3780421074669187,2.6700549097716153,2.9690693487213213,1.8656083589080743,3.1801369942361637,4.16532763969628,2.2713895589740125,1.9518589044367065,1.3385512855925463,1.1108113550656593,1.2652950401522054,0.784975394693191,0.6464801422521951,0.6427089168276137,0.9734820803654547,0.7749699745655128,0.5905719863424809,0.6248336232612314,0.6698791278720185,0.6423590031752155,0.572752100151312,0.5446585709903674,0.7301217418564401,0.5452925081467158,0.8001104041843922,0.739378002923803,1.0147449138746811,1.191159217765187,1.0357197097334407,0.7494497944795593,0.6787476133411031,0.8293026573815879,0.5513694341221089,0.6047902768799436,0.5643463220754951,0.5854873925812795,0.6111872195598792,0.6097040278831931,1.0272571463617268,0.684777013975405,0.6185911066970523,0.5775828128773423,0.5276886280448124,0.665669202366717,0.538002837295563,0.6209262954658323,0.5431420624184894,0.7089396510261434,0.5814268897083955,0.5699944875305856,0.5534618558610108,0.6180325070550619,0.5959569966960928,0.6041456645009567,0.6105391076521484,0.8172980433863188,0.6537710130476379,0.8121764635386814,0.6774021919926119,0.7314947617054619,0.7579920638860989,0.7047681894364572,0.938703444974321,0.6578448556063736,0.6824395286669235,0.8145887419339463,0.6222673389076018,0.5964681627518001,0.5310909615010915,0.5507306168130719,0.510351859810527,0.5617072212316407,0.6415666174656796,0.6555629669188533,0.6635065661179934,0.5985288508776199,0.5627705132919519,0.5263044778148414,0.5604412139964191,0.5111896848024944,0.5094885116374114,0.5114330531866035,0.5698489961013096,0.5759511035234556,0.5949028187567492,0.6084412780493423,0.6197668138224468,0.6611743975273803,0.6253336583474468,0.660105164797186,0.682420289816813,0.6515671508700097,0.8427390007169681,0.6974168522950874,0.7322244081727822,0.6703386944802191,0.8374312081555134,0.8235963068262931,0.6650728950124855,0.6129442724195269,0.6590541999491016,0.5461641649077291,0.5502153748672086,0.5508931324384345,0.5424763942117486,0.5680315673997287,0.6416895249196493,0.6351842701089943,0.9595004661909144,1.2500201267271254,0.9437632900726332,0.7367207009729193,0.5896556400256828,0.6431771207966014,0.5616921695712151,0.6281842571279578,0.5972099468775329,0.5834271727282291,0.5654788771536907,0.5718773729120775,0.6655561479835923,0.7190173964799904,0.7194820212227995,0.9438905256554297,1.0084050867068022,0.9732304370306075,0.7413577224926412,0.6494901825124112,0.6519508132871902,0.6405352705114851,0.5937922881607964,0.6246794376368157,0.6285428334531523,0.8398045618514458,0.615789789521632,0.6807447389178797,0.7040884052889371,0.623935854536706,0.6159635608381355,0.6557593400994434,1.7226401946859826,1.320313465583736,1.5488165172226214,1.4832824975173358,2.0935323187692902,1.1218531817790467,1.687806755597602,1.9813630125586574,0.9555468689912328,0.9497448928500136,0.899340912051218,0.8074064996392476,0.7062408367504027,0.6484959225018863,0.6537069365204622,0.6128596953580493,0.6417186182009448,0.6926897986189805,0.638396657733829,0.6359914002305964,0.6970345374876168,0.7005167172130659,0.6769722034180162,0.7058235311430194,0.8214471345727402,0.7071469684415521,0.7530249459087645,0.8552483904639782,0.9157333920755695,0.8248665355244038,0.93742495559286,0.9198542827290863,1.1681941958529518,0.9860415946819769,0.8364595217887638,0.8962234455527199,0.9294995369714667,1.4017169744659623,1.0440371800965589,1.0890247472181707,1.0662655799319753,0.9072431791018181,0.8512590112867734,0.7533522113752871,0.8387349268998562,0.7389213633904153,0.8969130886078833,0.8536661427375208,1.0480104375085637,0.8362054208467594,0.8736491498266776,1.0596336725414512,0.9212197731342971,0.9293434548803827,0.7273367664495943,0.6779681348203007,0.7515417879499583,0.8426853944847823,1.0129097382111778,1.2790816930299167,1.1197492150666382,1.0432396400095232,0.954581655463811,1.1086840216869291,1.0814656043561068,0.9015838960033329,1.1167102548853556,1.2321728684466564,0.9821938966085696,1.1035340302538807,1.3464371944226954,1.3966852516695825,1.06887593038225,1.1304740894208305,0.9916274465141327,0.9641146644390037,0.9041187297603728,0.8643761361679556,0.86257836249325,0.7955749131207532,0.8298353420010011,0.8099374014915295,0.8122722844415277,0.7419221916526006,0.7830859779636336,0.9705596011970573,0.8681887314679936,0.8485784192420298,0.9087112189810126,1.2080825862447557,1.1029988571363774,1.1026947673142375,1.2240789962872487,1.2889894615444273,1.4954410309150339,1.139760388664718,0.9287677064941494,0.8469997202879259,1.204134241333667,1.0943769282661777,1.1646078347976359,1.0809816466314808,0.8557539710627268,0.7258470849017195,0.6378108977157123,0.6482730221262243,0.6733932591570703,0.6728540536509964,0.7374913852364866,1.1503011226122557,0.6782512848575234,0.7217890096330727,0.8735674904317878,0.9264158053792757,0.7249781575595556,0.7340410447846158,1.0542491673764,1.174974714049551,1.9254308155234887,2.1802676123662694],[0.37450407848473377,0.5018017101425031,0.7251181664531631,0.41234409377066034,0.5697869447464889,0.45927448596709275,0.4003823012848979,0.49644239104086396,0.3987056416594968,0.3513976820118382,0.3691934486962322,0.4772118947289635,0.40526566897764393,0.34706812629665734,0.4351310766699632,0.3962627563878341,0.43251559807089557,0.4002489384562601,0.4666330701597996,0.43751637353275225,0.4551272565219131,0.5751204189931428,0.6481563908533924,0.7538921927400994,0.7171109709143894,0.5333223274441843,0.4283009177552016,0.38868412684130366,0.4024257402194124,0.41626665251833095,0.44417057427722967,0.45823036787390503,0.5220817437774398,0.4875172745249929,0.4586765392360243,0.39316961832611635,0.463617983010491,0.40376616532982074,0.39928763649410515,0.5463538132629001,0.751768866144709,0.5094430200942077,0.5692597390399728,1.076490137309261,1.5898801742964812,2.75031209447849,3.121933716176733,1.9484042859100164,3.118405102694514,4.116052470569105,2.283907513110298,2.0244191959709124,1.3320787136810213,0.9715794840904981,1.1390451731612787,0.6840230905817124,0.600931651021817,0.6656823148559257,1.0198929771315408,0.8221762347317492,0.5688687088733528,0.5793117364941123,0.5432856636785784,0.5782238827819303,0.49052459795017633,0.4665744250082802,0.6481841756783795,0.4607479903199662,0.735546382393233,0.7374208892453373,0.9762667568774956,1.15907880394935,1.030311838469983,0.7510087375946528,0.6193780105149443,0.7667040035025832,0.4439709424758729,0.4761005031114319,0.4402002494777575,0.43032627604587076,0.49444672368509374,0.5157632136172552,0.9438249906124385,0.6121951633441611,0.6711770035855922,0.4922728691625132,0.4137613354183509,0.5491283251198988,0.3815195775862266,0.5118505146114991,0.43473370706758785,0.6511536743031828,0.5042729153078143,0.4695769626297169,0.45038052535060413,0.5235833714981264,0.523062431972015,0.5080922156291924,0.5198848203587606,0.7600570824010047,0.5699952471436536,0.7837829074773688,0.5899773965430258,0.7147679776030827,0.7533869542388225,0.730620030989187,0.9717784718454868,0.686290233937479,0.7023916408426817,0.8796014226092829,0.6541210756167016,0.523152668964039,0.420707292302586,0.43814384911892407,0.38682181932418963,0.37539274414827856,0.4734896312517637,0.4573809885624649,0.5053681541607241,0.4452647789912341,0.4069709110608075,0.3808258476775183,0.42531580240914385,0.3423846002765732,0.35019778160148995,0.5024017254321286,0.657208056117736,0.5299828899586242,0.6061129067748566,0.6171312256504629,0.6386496816566138,0.6967955870793816,0.6394439904695298,0.6653440389890266,0.6689592947535639,0.613916325000192,0.8169202073944151,0.5709827527063882,0.5098663710919221,0.469052800145405,0.6156034059940247,0.6412265778192388,0.4831450830752882,0.41686653093221615,0.4766935342171372,0.4059938533828244,0.40925644852191573,0.4191801129450666,0.43034079461236624,0.4656810634662943,0.5882985628157689,0.5828560278879493,0.9164839442143807,1.2536104560547119,0.9216563901995709,0.688263943167714,0.526507437607218,0.5931448866466146,0.4857406290486539,0.5699107833716274,0.48223009445736226,0.4370125687367734,0.4644829406455798,0.45962198493328366,0.5880786302978872,0.759306502537694,0.6701491351213507,0.919396772107386,0.9956193721600236,0.8937229481877629,0.6695181334620725,0.5445529322070958,0.5560023357920648,0.5438653779978703,0.50067478378656,0.5561385412289,0.5385802842659072,0.7808005812137896,0.5221453270528001,0.658024857381649,0.6342194379515789,0.5776314590199783,0.6193661238175566,0.6840156511710579,1.9158103606238175,1.4631859704931924,1.7177787056680052,1.6959306783823818,2.116573991505898,1.170729840008977,1.6007051628198194,1.6996622613820942,1.0295079506218034,1.0084913485020395,0.9455881375096521,0.8528575158248874,0.7756371173033192,0.7171717217047424,0.7317753708995698,0.6879724873933859,0.6898410851175554,0.726190037211928,0.6819684766379173,0.6966029968028029,0.7523931780920201,0.7590658919315333,0.711635535167274,0.7649276109524097,0.920334800852657,0.8114602913406974,0.8137110174465932,1.0054889063097066,1.1055679184670748,0.9650846211810239,1.0420736133168702,0.9450571640571492,1.3093650708057278,1.0048898118213885,0.8881236964175113,1.0079639740327315,1.034274982159261,1.451280072295491,1.1376438922494938,1.1470527225153144,1.1289512894930525,0.9684090083921697,0.9161914498580963,0.8159336455842775,0.9894030771420098,0.8042028740556235,0.8927347256767469,0.939019786602127,1.10264007511752,0.8793779676971758,0.9044448054252998,1.2077292703449676,1.0170116555133908,1.0523804829617094,0.8033761506396806,0.7433107313445413,0.7737009350711697,0.8410388608330731,0.9894243631482088,1.27168957426953,1.0770539879981096,1.0137040118421332,0.9846166027506162,1.1065173638266181,1.0972946784917215,0.9416991983943096,1.1593226175170384,1.2682922964974146,1.0565539636802428,1.1930599717079742,1.4251837139582813,1.508821804251556,1.2205083717342422,1.280364005317608,1.119975911271907,1.0719745201281343,0.9782966052059524,0.9501173744771733,0.9773827856342258,0.8814881425413957,0.8648236037514553,0.8952273847624062,0.8974240432756377,0.8168814354282858,0.8740180705658304,1.0288180454467712,0.9175248797042146,0.964280997135331,1.017894527012866,1.3722503334280358,1.2174157642933572,1.1796036230306028,1.3087036288884804,1.387018785968383,1.5499324945209718,1.1319994864263463,0.9332404912902215,0.8065826158097831,1.1443541213395614,1.1114833415807222,1.2327135870705683,1.1182893114455406,0.92698718410312,0.7581741320539559,0.6837772569208966,0.6542020337660045,0.7183197097154088,0.7115453257744053,0.7833104273467358,1.136189091806236,0.7516501495657728,0.7774681855556146,0.9034167682934826,0.9661869029417709,0.7392771021527117,0.8515539768106988,1.106349665934436,1.1492016129515148,1.9302635867695537,2.3546590866460853],[0.6363598478164106,0.7192472238186409,0.9821387517848097,0.5881020556787804,0.755834723996156,0.608219239734964,0.5874205158781413,0.6941726121616583,0.5384165634922347,0.4933794542768884,0.492253981037426,0.6208726306858514,0.5605394331516688,0.4446363478663726,0.5244177568439722,0.5350565576859925,0.5707340403982222,0.5160137378063598,0.5527213446542094,0.5567476540207302,0.5358331985428001,0.6516066594352692,0.7590716727840631,0.8137500228712365,0.8516630327042378,0.6226692453938049,0.5773667256763293,0.5419274396968379,0.5515391037986201,0.5851444094583329,0.5567389331015538,0.632207584928634,0.676288640890391,0.6378114251800803,0.6454106255415453,0.5580397111999064,0.648177945837008,0.5878088108761629,0.5880960450774753,0.7594215306461524,0.8886741613038359,0.6145755826940774,0.6816295153284649,1.125298955552001,1.633345036306526,2.7761708927887967,3.1646843804119666,2.0239830359011424,3.1413966249202843,4.224477511662787,2.3816642979469957,2.1455824949291804,1.4734260977809575,1.078452149378659,1.2658997877351519,0.8600685378665095,0.7333290945493227,0.8157387892215753,1.159542888258104,0.890590496253022,0.6937531332964971,0.70019665740141,0.6549212955171708,0.648002214236142,0.5684985394306992,0.5801502580595611,0.7101048859719322,0.5638326101390546,0.7589066141818558,0.7676832925066016,1.0130871542453201,1.1850949436931877,1.0495297324931667,0.7691223820737518,0.6834431904332597,0.7911056827159272,0.5535582795612766,0.5982826076797368,0.5969233572619778,0.6084004928294032,0.6953336690852711,0.717430638643553,1.0329476467350043,0.8513016409469829,0.823776316153594,0.7043270965656923,0.5985498343299667,0.7218288622655296,0.5575358092859811,0.6717015820380571,0.5716210975138847,0.7199600045763548,0.5806736855666123,0.5753930127004389,0.5511968839598607,0.5807539186460839,0.5929973211642399,0.6318817080246116,0.6715542378475897,0.9361060209296913,0.7794940057786294,0.9850106069931261,0.8043640343725859,0.9318032169455817,0.9911259559155504,0.9652598651062054,1.197298724695129,0.9496297881432094,0.9600108100892523,1.0927142443741307,0.9000532238939828,0.7516764051514486,0.6396316021896673,0.6315574772101876,0.5479201438416444,0.5289351774496527,0.5918606198965143,0.5622896825132259,0.5676333205206425,0.5326608107235907,0.49026479498697473,0.47480348908737313,0.5157660472897939,0.48385427366406136,0.5099629114343288,0.6678250526140785,0.8656541690016776,0.7443224817855003,0.8420765948134858,0.8690167003181666,0.8790085606706182,0.9489896714362877,0.8777988713262306,0.9080750517959432,0.8693516724518863,0.8075313385266343,0.9688232722830797,0.7474587695501251,0.6851970936055943,0.6460923196333975,0.7215544919320427,0.755727612665865,0.6072784656564919,0.5822058822966921,0.6630229571335616,0.5966658610582537,0.6034179268622406,0.6159719081390037,0.6518683182589602,0.6626162517088813,0.8134410959651779,0.762622654569276,1.0686441703264853,1.3041323502048727,1.0244679347644001,0.8636617262031921,0.7219130473719725,0.8208880453895727,0.703146935838932,0.7950210904874198,0.7119741495665269,0.6644582195571294,0.6559411800956414,0.6711618414279771,0.7801329347455942,0.8984633717542285,0.8456331535900036,1.0365424723675858,1.100851173264426,1.0089574673037205,0.839139153464306,0.7374623673400015,0.7707094366201179,0.768240748670737,0.7552927764396463,0.8092859733102739,0.7801935064845206,0.9803543855457757,0.7810572063292139,0.9219714169849434,0.8521392525741225,0.8232850927946234,0.8664150083526206,0.9325309041329528,1.9814169863777458,1.4546219137858,1.725096209928606,1.7445272405289047,2.108751318279232,1.2370814316995469,1.686722751854873,1.8672167558550115,1.1410939123322008,1.1152222731612533,1.0998261102985976,1.0365338315236627,0.9830050917478541,0.9594723974649653,0.9701166294275495,0.9389820741874746,0.9924307535290714,1.0456270243348413,0.9744966287347206,0.9879952731294893,1.0643699736578371,1.0653229397846928,0.9696363271853146,1.0526775914227888,1.2353692804190892,1.1058782761551742,1.070274400215599,1.2772365628995517,1.4068111199282831,1.217514350139605,1.2283030327333315,1.1194389822564828,1.5043122807202487,1.1796328150358957,1.1046042238589697,1.2298033692526211,1.2503904970886792,1.589431276825674,1.320810932512571,1.3600501677934371,1.3550046067696733,1.2405103404629505,1.196090872369527,1.0951811468461528,1.228242925776096,1.105927382466007,1.17538816044484,1.2141204749833483,1.3571926079607606,1.1508818293108047,1.1308084455363376,1.4310392878400777,1.189801351172408,1.168148267255217,1.0389265257066156,0.9989074992929275,1.067377293392102,1.1457845868780545,1.2667947127810253,1.5494270813291742,1.3571955234827096,1.2993437226423814,1.3110680887326982,1.403493087032257,1.3967648377856996,1.2641258751056257,1.478537572877828,1.5721348822928112,1.3732468915536595,1.5139987925452736,1.7405283187008644,1.8078441101021923,1.5411806255056324,1.5994657322593813,1.4127237710193825,1.3785477012612646,1.303144807995685,1.25824702292093,1.264053782315508,1.1746733937159515,1.1600577144852975,1.1603565931153434,1.1466114930161695,1.0828362113459273,1.1359501291139245,1.2272911634895982,1.1225774862955684,1.1641582480734203,1.2203433958186654,1.5080440040885974,1.3689772373932771,1.353494898120005,1.522810436737451,1.5599703251327328,1.7211377044438452,1.323496056784178,1.1334828765559875,1.0206800613136182,1.3363446774636856,1.2760407300768546,1.3783296284307296,1.253100061459393,1.1121217787047974,0.9822248265512632,0.9326512753732631,0.8798779654504439,0.9610159779973737,0.9858574840707581,1.07756462721981,1.2343597433242948,0.993237470597474,1.0728616412072434,1.204362859693743,1.1526250912281943,1.003816483084157,1.1848315594398937,1.5457607180323956,1.5476414701940309,2.2657583921534945,3.2068294099843593],[0.4190702970408247,0.6044188625610296,0.9461012284758487,0.628402711551164,0.7702635320647981,0.6137506729303394,0.5829499301796055,0.640089331148518,0.5304694544597722,0.5066378406562764,0.4818623590640034,0.583583183983935,0.5622417233509599,0.4982430058967202,0.5340370313253322,0.5505274594184614,0.6264185754047006,0.5709665431704682,0.6354659730121712,0.6117681045141409,0.6038926863263451,0.7426584231602681,0.832489566659581,0.879317963203453,0.9087099926368699,0.6880973104027897,0.6424873686850514,0.6066291872646422,0.6077578374090966,0.5815351966463754,0.5593780516140142,0.5941893493034344,0.6274214574008365,0.5990588275778747,0.6230775147898127,0.5628942434486406,0.6414772545121135,0.6245545064436603,0.6526540228101221,0.8021290791080865,0.9526377758181469,0.6936785324484585,0.7871154498065076,1.2340507497709021,1.7299010850110417,2.808928227340736,3.2487501104992305,2.140166029779294,3.1387861165108304,4.248355008522548,2.4417071987574874,2.221578048104045,1.5238118678746742,1.0784784304880315,1.2826716948829793,0.9301960368605684,0.8286957326261288,0.9199539633156313,1.2317312136086487,0.9638338390854555,0.76965042252872,0.7533435153995943,0.6909745413298273,0.6815895058412056,0.6434955869907502,0.6471861589840193,0.7602860224276162,0.6060990932475472,0.7767118380522642,0.8429743830320491,1.0778976308012294,1.2460246204490695,1.1044014345808038,0.8202984047916572,0.7074848280807121,0.7479399620560494,0.5880011574238077,0.5982083641799468,0.6086415594287943,0.6145091345544295,0.6983823345105127,0.7386152453042593,1.0020963987468363,0.8374812323489712,0.8770257631403111,0.7194652035619095,0.6341002501109003,0.7118709355336144,0.5708940544016754,0.6421831666724148,0.5600581142104288,0.7354146143814108,0.5793723322333578,0.540770965573719,0.5276443084157778,0.5521896811936087,0.5676839960089356,0.5904850425904912,0.6199320501755891,0.8240456375804066,0.706075420691172,0.9166858213038053,0.7668755301496725,0.8978349700562497,0.967669173963624,0.9433859148228363,1.152151752260838,0.9533713608248129,0.956268651603059,1.0546207991363097,0.8940020806375848,0.7523914948654731,0.6431018266145745,0.6810357360016694,0.6001766059684768,0.5964526157158754,0.6394427445754887,0.6548783994038166,0.6669094468520613,0.605559699794491,0.5720137049433586,0.558569630602229,0.6136951510903363,0.5681973494002012,0.5663363943273313,0.7300475928570084,0.8904912039645513,0.7783958633799398,0.8791705160010055,0.893489944608991,0.9192039268628426,0.9614567004350223,0.919196225834678,0.9234798438709143,0.9186463962908306,0.8674011452943622,1.0210303872268232,0.8163151282350025,0.7509926381144032,0.7250807650460801,0.8032817956095406,0.8386619362723249,0.6929307553496195,0.6694220851725419,0.7363692071154089,0.6531958413917167,0.6575947079676471,0.6429647922167944,0.6635963440435569,0.6420390859059868,0.7634547380814044,0.6881482990936822,0.9803625965156715,1.218439060164594,0.9286942050794976,0.7710504434088731,0.6543277474656736,0.7537711763445737,0.6688480178393637,0.7691858729936693,0.7443346500933066,0.6843289658625087,0.7209859799635454,0.7329508242524385,0.8619619875485348,0.9832533969418702,0.9203462192104499,1.1204866289226005,1.1795142780719003,1.0950120991841676,0.9149961015102595,0.8034107084078368,0.8221415330785735,0.8047599853002875,0.7711670927112122,0.7938640865578541,0.7646029743887673,0.9450977491880017,0.7664417847849994,0.9031781612564614,0.8844000032143133,0.832506766027358,0.8856859539206181,0.9564045600083954,2.168949995441863,1.5738914376079023,1.838021215218971,1.8196525467649498,2.12128002375301,1.2333804342992318,1.5832140594528852,1.7310948980306948,1.2483772241493305,1.2133834024637031,1.1554479565936127,1.0726186670462947,1.0257364506204063,0.9913469448717659,0.9851727479050438,0.9510767983019232,0.9445469789646131,0.9717246498395684,0.9442415251274613,0.9520636190160494,0.986670217148378,1.0063662032018672,0.9520825769115715,0.9827711206873828,1.1331236949736125,1.0748107853331368,1.0332417714440416,1.2182227935740413,1.361075863999979,1.3242176454939645,1.2285140485714652,1.0643048054340303,1.384597144318491,1.0604329158428385,1.0152571506091586,1.1176199917083591,1.1245685018124036,1.4623302136962992,1.1700616909373223,1.19473982586369,1.2426177392307196,1.1151793668790904,1.1436963917036096,1.0310902173473717,1.1867559671348233,1.0162650168833014,1.074423239149212,1.1495919536552248,1.269979080957932,1.0958698255590928,1.117727406199043,1.4201454521071646,1.1998115549425683,1.2400095772339939,1.044106111834284,0.9946249129507094,1.0128502592190443,1.0488018998033857,1.1586283529703634,1.3687080055555507,1.1942797156438971,1.187609179046454,1.1553748682932679,1.2323455541000448,1.251724142162449,1.1386192811008318,1.3081108990514758,1.3963855743632783,1.2456858795630017,1.347992187315701,1.532445387445324,1.6603239434686279,1.4004728834938087,1.4167102343786473,1.268916833696628,1.2184021384851254,1.1478045881347099,1.1162156142214896,1.1339018504502996,1.0683963576974456,1.0451935204260234,1.054302671679224,1.0508285080925501,1.0081351038282282,1.0415189817222934,1.1476502134705342,1.0586034610598374,1.1406771318387583,1.1678330683841744,1.472559164898479,1.32904285172292,1.3082569496339271,1.398747769835583,1.4696117932247226,1.606141375362339,1.2461954311505379,1.0724526181565233,0.9984047064984305,1.3069228853294368,1.2770747017653652,1.3792285853341226,1.2708898780854925,1.1244797646165738,0.9886714261035768,0.9489012642243206,0.9032254092951768,0.9855065751532838,0.9659630196459555,1.0183225937492624,1.141509518930342,0.976787887118414,1.013459132994765,1.0655096108747766,1.0316371720474518,0.9321436452263129,1.0915733399921068,1.3390265636722296,1.2891732493556929,1.9045045795481632,2.866979860133824],[0.3114370568748705,0.5618736465086769,0.8649448498091656,0.6079873146077205,0.7309112643029962,0.5792075660949764,0.56863730721103,0.6170050470728383,0.5337175145807952,0.5186216031308822,0.4938251253422722,0.5918756811312352,0.567545306601735,0.5104115656795557,0.5471829268729701,0.55315394675384,0.632836162673149,0.5808199412432772,0.6330577803390919,0.619463268849949,0.6005418770080404,0.7079101974129883,0.8367984859617199,0.886757650072798,0.941019582425947,0.7031446584063878,0.6451591900659269,0.6109327177662262,0.6079010903913497,0.5822242077556868,0.5637997747660476,0.5927671493378095,0.6237386477029956,0.5969799747632248,0.6222113130344668,0.5638301700679229,0.6283950812166798,0.6184786274184533,0.6291716393000618,0.7745142075448095,0.9190624676142142,0.6618664574001683,0.7225807613622584,1.1375432511994188,1.6290782791508929,2.7765426341490294,3.1575441139949993,2.0321648117760676,3.1569324440501214,4.230822562766769,2.382413110336705,2.1351848166921052,1.4741655684392347,1.086022282009279,1.2652497478164992,0.8807892551175639,0.7619544944431259,0.8501288804458755,1.186341371736037,0.9093027772424169,0.7199833321263883,0.7366392455211094,0.6812337957854744,0.6944582837727348,0.6137977783543922,0.6316811570626161,0.7702063864085554,0.6202545298445877,0.775964457663761,0.8317375434509624,1.0776200748293734,1.2394514074876914,1.0978715710212297,0.8017202844792075,0.7190375073099712,0.752767701253445,0.5884633081596319,0.6036190428343374,0.6050041163277516,0.6066564167720976,0.6746767300555541,0.7068453537479459,0.9920768470056709,0.7966039145544737,0.8162529822243958,0.6907565149603936,0.6184602474473534,0.6903409602607958,0.5687778072895879,0.6504018515141193,0.5684426692606241,0.737094818585926,0.5829862960768273,0.5507479817390096,0.5350482397872817,0.5610900322476492,0.5833631853520764,0.5890775151145003,0.6129252314244947,0.808401995386114,0.6837244853232882,0.8649414631019455,0.7150216980605753,0.832582493868293,0.8895659796586896,0.8672470351706624,1.065246449412114,0.8182236416940127,0.8272584853310715,0.9788726336392112,0.8044603097945306,0.6910718509011283,0.6089837874834747,0.6537903690977838,0.599361494094579,0.6062038904390405,0.6656620767072632,0.6639675185063655,0.6589532603109216,0.6061448696190255,0.5885155706190773,0.5659921160906203,0.602042587782761,0.5732073552163588,0.5698898522669599,0.7001608173433638,0.8442329397198054,0.7023007403710492,0.7694629388880653,0.7851657070346828,0.7813502730550578,0.8195262611968926,0.7791706263693189,0.8133705783448104,0.801246161830118,0.7723611683540867,0.9343567753639946,0.7536248285254651,0.742107743765606,0.700445292282793,0.8001778866012363,0.822884304531498,0.6884206760242488,0.6545708950460826,0.7222270713628697,0.6398719756863289,0.6460948944836247,0.6224448224638199,0.6273443721446016,0.6211015180841096,0.715829896750191,0.656650728232216,0.9348095798390991,1.1809878234074833,0.9145673337554796,0.7365308473199403,0.6324687428045713,0.7102490449635345,0.6414916559672471,0.7182898846589223,0.6822298008680818,0.6578045366622038,0.6827563528474422,0.6871201097295664,0.774417560718146,0.9103734210738598,0.8087262659348831,0.9801550572382017,1.0299844693438631,0.9726635678634358,0.8015782498969618,0.7280297130964428,0.7447197042012397,0.7315089317532653,0.7154811446003296,0.7389662968489604,0.7258514908475652,0.908133168504139,0.7196456642827463,0.8504575845510266,0.8177924764772413,0.7487713745485269,0.7772809460432546,0.8352389808476568,1.967984255284587,1.4550781897886118,1.7247198246102875,1.724346154151411,2.111843927000879,1.2324131801859215,1.712412950325317,1.8478728698459386,1.0765457125918194,1.0478464532282603,1.0077970835516128,0.9100858665589475,0.8677771695035547,0.8064294634710517,0.7996904004629352,0.7861150145591509,0.7508511243161219,0.7979750782525243,0.7830256420920297,0.7555035823030443,0.7754520037654229,0.8148691650418901,0.7698983890604535,0.7542947303580174,0.8965373438961302,0.8516549077572441,0.7835447148357843,0.9322758202393168,1.1122402444014723,0.9760285742547599,0.9400705023335164,0.8588938421337103,1.1613800061221082,0.9140742184413109,0.799525488286663,0.8746798306717245,0.8926900204653317,1.3372072058486792,1.0083768720793165,1.0443355777512595,1.0615179149905762,0.9105360018947976,0.9218115030251124,0.8137944223734427,0.9617991654132494,0.7932746541873609,0.9043605284910557,0.9239851269374812,1.0820864968279358,0.9009860867068951,0.9464475208465915,1.1707171030586816,1.005087924073313,1.0704766019137142,0.8418400605680476,0.8118454216043572,0.8272241470945192,0.8709435470918105,1.013259216847781,1.2334467257574806,1.0825014656084164,1.046893607287855,0.9712819683856284,1.0877219211178455,1.120240325215187,0.9479070716477374,1.116502837219804,1.2285665141695732,1.0469339444411445,1.108490537515275,1.3052515088844217,1.4510246675076972,1.1201476697778474,1.124321435310896,1.0040710469478604,0.964449243866853,0.9149378495807448,0.874705082630395,0.8740512560613766,0.8260996438378284,0.8249178373123336,0.8148557893283566,0.8223803371367936,0.7892876264355071,0.8127279986054566,0.956560296782229,0.8666917150429502,0.9325592763369063,0.9346594966128887,1.2616270569878663,1.1363112933196102,1.1218761796622736,1.1935722994562787,1.2908823673203633,1.4066062202990903,1.109952556952257,0.9251710958601554,0.8378385458288865,1.1988453358414612,1.1325284966895617,1.1961579461752998,1.1128626079277153,0.9553914012514811,0.8544909289957193,0.7978074155953245,0.8036381629697466,0.8495875644518261,0.8326054909898057,0.8694304056521952,1.1061298080362567,0.8774404946223656,0.8717457809947989,0.9402406257882443,0.9943115463926465,0.8593041066437178,0.9365832537493877,1.110204447921352,1.072555936241531,1.6163247342376206,2.2366454114508802],[0.27293945296310634,0.43779688595438937,0.6682858301318159,0.41056573253958006,0.5743112672259961,0.4750992270090103,0.4270720265040461,0.5178551955705979,0.4360255067318267,0.3921544901898103,0.3987077141557818,0.49248419495913265,0.43693252377980024,0.39200028006052245,0.44034272954303694,0.4266909840488991,0.49100528151190526,0.4375105787458171,0.49810048962739645,0.45972838339160577,0.47141753419187443,0.5992853989285108,0.7115704712712563,0.7856076535773339,0.7779276360425665,0.56698511157455,0.47895213691104954,0.44047875095571937,0.4480905475300163,0.44997953452466943,0.45504929392527044,0.4735821340761422,0.5172910481448802,0.4874505312274465,0.48615467337995794,0.423893274655541,0.49725018458561043,0.44564306572285,0.45100662430982935,0.5957762726392399,0.7941512900474957,0.5508065002003012,0.6196245076975995,1.113437231742226,1.6323204249633905,2.7803776486645475,3.181640024951265,2.022665281348642,3.138528903674176,4.160867037448675,2.340113797861815,2.079631118771297,1.379158526730823,0.9722208918013218,1.1418295685248063,0.7351300624617331,0.6511162812645537,0.7449414910438694,1.076218653872852,0.8403217877609371,0.6041390743583496,0.6108711911969626,0.5607972318163873,0.5869792869660586,0.49914312619537526,0.5025249999059079,0.6625419909589434,0.48425170897572767,0.7308562216206155,0.7559121131140573,1.018222644738744,1.1972745722998506,1.031800211989669,0.7509689675452121,0.6307504935682379,0.724482101299413,0.4677644820578139,0.47639269248687743,0.4719687897004446,0.462789734465396,0.5305500436446541,0.548517386005629,0.9171549618529127,0.6388820587526747,0.724974649717629,0.5200082156694263,0.4511758086206705,0.5947133499288152,0.4197173291273401,0.5324138076752079,0.454733371978611,0.6747594824722863,0.510601250978054,0.4581544346052402,0.4437511311336218,0.5092476473624222,0.520514128059548,0.5059187662734013,0.5195035010495846,0.7250874970095258,0.5730975962584101,0.7855296718194371,0.5905861608659863,0.7162527585296458,0.731425029266833,0.7217373605712446,0.9317303353025758,0.6853427212777458,0.6959363705524734,0.882179456063239,0.668020751380862,0.5326066883989419,0.4487765468707156,0.47998244159895054,0.43065216459133804,0.42408819708974177,0.5042812962369619,0.499539508381475,0.5343333363018425,0.4872861807133182,0.45685180282295607,0.4353021197055887,0.4706307518172541,0.3973197396587185,0.39825224698983525,0.5421466966670183,0.7010333967751854,0.5393572419872928,0.6182275691041774,0.6280845679509323,0.6331454165643646,0.6768095032553642,0.635359935666658,0.6681854003410237,0.6685352920005184,0.6284270521578137,0.8193023646028345,0.5701557858563486,0.5300083950261382,0.5073686233549041,0.6464637766194753,0.6721629315635619,0.5204564688829955,0.468023189464401,0.5444633951238349,0.46665849539602144,0.4647590722125769,0.4596240410157817,0.4676464229463319,0.4956413049031947,0.6096078041039292,0.580204203172735,0.8885714672377114,1.1973062582742995,0.8884256669766073,0.6539297653343771,0.5296929447847479,0.5974004494734497,0.5099619426019226,0.572140414357998,0.5137449591261919,0.47755164565929975,0.49967704328648044,0.5017557540527873,0.6113724562862219,0.7853831818623528,0.6715922232625274,0.9171347038327138,0.9845632150486866,0.8980971280946644,0.6721147150481469,0.549351577477572,0.5677256246574515,0.5616901108332959,0.5235763591578972,0.5733074118593279,0.5651918230607633,0.7820760423539902,0.5407816667156994,0.6752803679125882,0.6556302812647035,0.5898778137736408,0.633798180634552,0.6989852593703074,1.994673713977856,1.5039885100455825,1.7523952747176241,1.728789879639247,2.1169851556570363,1.1738043789719355,1.5705729714678642,1.6249988275603517,1.0583195791751911,1.0234839924093881,0.9488270792127864,0.8325086877830191,0.7621311598531917,0.69291602497298,0.691279387192933,0.6783990143579892,0.6364824422304066,0.6705508079143512,0.6496627830773412,0.6341316430669052,0.6804903815394748,0.7138846159141806,0.6495588980174648,0.6746254552046125,0.8343547749694148,0.7859218732141154,0.7565553719721215,0.9282050529400563,1.072399679287189,0.9840186470128216,0.9912841324784268,0.8700011299314482,1.1833532933622952,0.8790331319478478,0.7693651252719659,0.8724021557582008,0.8833847549282183,1.3262852770133238,1.0042038836056355,1.016966258252485,1.025975861303454,0.8546921977651747,0.8672041733094594,0.7624073499335419,0.9302547895548242,0.7084454842576469,0.8098594273995952,0.8519872835085651,0.9928216382365108,0.7931587397494521,0.8708449699343072,1.1227995911833635,0.9654614022034417,1.0641549088312727,0.7487201855043055,0.7080946349599336,0.712711990109811,0.7654812857162994,0.9193155881734888,1.1446971352641837,0.9955794656939027,0.9366364598397467,0.8803030252297039,1.0072487619940913,1.0201705654254196,0.8572400265367874,1.0447394846240052,1.161125876349567,0.9743568948112145,1.055993984651713,1.2582003191040105,1.396561150068758,1.0910485272154669,1.1081533935356047,0.9848585356934098,0.9261019525654273,0.8414215325229963,0.8170865733948103,0.8458835019442138,0.7730395152559194,0.7521224562471084,0.7710188742941312,0.7817240468269656,0.7113713105328038,0.7489758244489889,0.9285872658212448,0.8076689153745048,0.8863732412150981,0.9059762724729694,1.2649944496321992,1.111527075614228,1.0642267107391266,1.155393473586679,1.2605798203951362,1.3716045299485775,0.999892179885074,0.8162545507842099,0.7063678563346056,1.0199519010733507,1.0144728158090541,1.1317181010058461,1.0521205740612716,0.874253577446152,0.7132851413314978,0.6627495398336481,0.65817960725009,0.7122875773105631,0.7122549289665976,0.770685676290811,1.1054346401488244,0.7789110807974502,0.7631037689766186,0.8442470497829675,0.9436856886236463,0.7280273749520251,0.8296338451011227,0.9282739088779784,1.0607195488323904,1.6292106041635102,1.9604501536060113],[0.3596480283277412,0.30741828641245855,0.5339619164221848,0.2557656243126622,0.43530006873023763,0.412475353411918,0.3254227895612301,0.4616543342997808,0.3746420723448085,0.29935736265374274,0.3427614367505837,0.4583763797718117,0.34955416180056703,0.2955473970139549,0.38709673485964896,0.3505322640621639,0.41774864405739304,0.3624183905583251,0.4226290120140938,0.3683179455572547,0.392080978256851,0.5147514165116749,0.6108125650673734,0.6984662520669607,0.6546347205273818,0.46045918117453893,0.3547388168955076,0.32125815804577545,0.36255966062854034,0.38129807030031326,0.40872655332638486,0.4155966851344313,0.4890431823181778,0.461316010984129,0.43240184221256833,0.36177896617870775,0.4170210249512781,0.3542224912368648,0.3340820061744646,0.4511179880045746,0.6894556587618595,0.46809519831842566,0.5193293370770842,1.0163168539914929,1.5156282640373675,2.68898142878024,3.011123604882562,1.8484944818753435,3.089104862372495,4.030501224235728,2.193716116617742,1.9344350417932505,1.2691581025575398,0.9265434636688284,1.0810865315951506,0.6130071832254034,0.5450856057248009,0.6220504116761925,0.9800080388212987,0.7571317821057283,0.5472398296393444,0.5478465131097255,0.5129099718762262,0.5306191961510348,0.45081554869905993,0.4188234037067727,0.6032542465938228,0.41985007652509027,0.7052107787370853,0.6900178960605508,0.9513844930683465,1.1554604169471254,0.9957495842786211,0.6962948746330714,0.5871814791741188,0.7418016842369658,0.4127873489766787,0.44510907842348063,0.4062975011309182,0.4054914294308364,0.4501935754905595,0.45170675323590154,0.9562614903608588,0.5134196990454748,0.6177419509785557,0.4246413822230533,0.3610611111168061,0.5266876117019146,0.34971633216194004,0.49020112009065614,0.40393994906110026,0.6371682815513201,0.4726871615170662,0.4294129583722929,0.40859516047098077,0.5022118368913456,0.4951142003940664,0.48153737979804473,0.4825115714298176,0.6830956386926218,0.5202922514432174,0.756790303569438,0.5371105167641806,0.6534022489779062,0.6553736363008366,0.6269245187242329,0.85653276127196,0.5685958201785675,0.5937489900078161,0.8050956853538845,0.5558157630854165,0.4165260263955683,0.3417377470362628,0.35414297487070395,0.30902097106163123,0.28960484857564534,0.3995409942630624,0.37604713700433273,0.46085116715184177,0.4315504423745852,0.3640637918505892,0.33324822238335816,0.3653513293166221,0.26901379013391347,0.27701525124489934,0.43068083455610373,0.5400790928973906,0.428782597716051,0.49539566933874846,0.513603909705528,0.514528875150944,0.5641985260965178,0.525422681976316,0.5584975015087883,0.576956931776631,0.5299727071590945,0.7474021053678146,0.46625597252383894,0.4274296933988248,0.3738946902467846,0.5535417339645529,0.5660484852699281,0.3946749365959768,0.3357626618372023,0.405537110041331,0.350652270598491,0.3317180733173558,0.3595278118005849,0.36339177085481505,0.4162509706958603,0.5527552560538145,0.5457054934033869,0.8757718761746958,1.2499263964689857,0.9055443719199014,0.6352574197559993,0.46962560805011483,0.5409356518114223,0.431148282729338,0.495266041450593,0.40997155307056576,0.37108485433104976,0.36838759969506074,0.35021788204237203,0.5113968108786872,0.6233906295030053,0.5469364379560616,0.8135927138047045,0.897734672803275,0.8171496956038694,0.5727952235273561,0.43043033874092584,0.46218326435157403,0.46113533625968167,0.4042303824158102,0.47561897874410797,0.47088861547131017,0.7193419254770129,0.4325172397834954,0.5628746487217458,0.535301230051886,0.49604239021007024,0.5170022319206881,0.5686282120425493,1.9138251721451625,1.5490934563535823,1.7962755123326513,1.7035402032352607,2.140831688316257,1.1104248411908448,1.522615948966946,1.5938268250612586,0.9467970432554182,0.9506954465452637,0.8284115560655517,0.6901988743169436,0.6500125005870901,0.5606231253177116,0.559174267017005,0.5565635527991523,0.5060537388342888,0.5542776287660427,0.5196737986228273,0.5168652181271561,0.5677285653292234,0.6006430884342896,0.5605472591968094,0.5712457640365216,0.7133814317070376,0.6427996508702505,0.6561117749406892,0.7946669618277405,0.8988427280028188,0.8008651546100874,0.8864870511339527,0.8330250943371569,1.0993814989647381,0.8509840725541918,0.7012328621247254,0.7855696004130979,0.7954134436819075,1.3117576901278503,0.9395348934897267,0.9521754146526266,0.9488855634278539,0.7731843714493737,0.7846713927889926,0.6920871407650374,0.8080437902719423,0.5903346006718633,0.7324453294938374,0.7294617142960022,0.882349781684754,0.6765753945079361,0.825696991983618,0.9756583677100713,0.8916637727178347,0.9908255790011437,0.6275255025973273,0.6067935662291477,0.6344228058735486,0.7038124101597271,0.887797366687863,1.111110196669355,0.984447370876625,0.8964668392976549,0.799245843516297,0.9522400378674384,0.9490450653288585,0.7620556748475127,0.9536647430714013,1.0746383291700425,0.867475025115814,0.9423994921753559,1.1581585314385807,1.2643332542080656,0.9554858172712233,0.9843551636878551,0.8710038185319243,0.8186492030941576,0.7332690166523732,0.7130289888605222,0.7417506608777171,0.6752319413819967,0.660573570973036,0.6795773315730702,0.7021584708598393,0.619838407081835,0.6576939718577136,0.8726593284306645,0.7579418232044935,0.7919328828513353,0.8159173343007486,1.1870793696771242,1.040150558370199,0.9978944239694376,1.086057302298946,1.2228397281749608,1.3303971272214468,0.9723100331584461,0.7832538432407798,0.6621740683009628,1.001252914223889,0.9540455513120858,1.0526041101482224,0.979039133063107,0.793535155507913,0.5867193612168045,0.5216615117450797,0.5204362125934511,0.5827611050672764,0.6080082757426752,0.6821078206648356,1.1787856988369736,0.6817704013357074,0.6403057931550018,0.7269251798373042,0.8944026039564155,0.5727263253521166,0.6427312805238984,0.6897763280934216,1.2336627982300645,1.8543178640788291,1.7098599446805205],[0.39268184675049483,0.31372318525738735,0.5164119289485376,0.310362535270714,0.4529479813113372,0.44502513472149263,0.3462948558937424,0.46608135449014243,0.38644341554362627,0.3087703183741729,0.3391306151374755,0.4483006921383022,0.33034737362783173,0.3070448948684829,0.40851625309278694,0.353113499301321,0.42446310777110996,0.37302064668708507,0.4484303362209892,0.3895572551397707,0.4560501049464252,0.5567858728534428,0.5880948683078134,0.7523170629926409,0.5697981285760334,0.4682111260100714,0.36296178597752465,0.3097765488022376,0.3569461570108827,0.39494126974899985,0.4381899847113474,0.4202293362430691,0.5123044194519221,0.48585437524358877,0.43378942899319994,0.3829808169306415,0.40820705647346306,0.3803511652478021,0.3486714930345179,0.42320369553095305,0.6844974700045995,0.5002021967342498,0.5564122129729407,1.0503809596963183,1.5465182015535,2.695108447959288,3.0005477481590557,1.8113844292346493,3.0775878523164484,3.925362359515684,2.1619007366131564,1.9228883752405859,1.2609892205412787,0.9515606084249255,1.0506212863401219,0.6033032592364486,0.5877517289602178,0.6346607819287812,0.954557294348708,0.7965659050689523,0.5717288317466259,0.5589912367133973,0.5378355455444267,0.5751961052362925,0.5076678849460183,0.4475219756070719,0.6274886577306501,0.44147446836099113,0.7717632748095196,0.6958744975054088,0.9172723951082493,1.1311390625814175,0.9746544923939002,0.7405331200065162,0.6068887560616932,0.8262529397189461,0.4463725287369135,0.47584603578698137,0.4225975558352374,0.41976674973428635,0.4388799271748322,0.45557238335697997,1.0186694860248393,0.5148601021373296,0.6590944234825121,0.40923402477909515,0.3714868318000748,0.5043071751300362,0.3619336951989024,0.5039788728185226,0.43134152251553715,0.6770463949523817,0.5104387568959552,0.46750701494575153,0.44972475284968033,0.5485534625609946,0.5316804779179521,0.4956633645692034,0.4806579699528856,0.6908595548057505,0.5076963020138996,0.7285893018944487,0.5215905432439512,0.6339735455273868,0.6396935310596308,0.60867171875164,0.8279108432868775,0.5581137547720925,0.5851770728062673,0.8028251421029964,0.5403517323243346,0.41646351042193147,0.3503363366279246,0.3649039954195174,0.3342500579236258,0.3066993716455637,0.34415318179978055,0.388496547023192,0.5484577542231602,0.4510014049107043,0.3804586417883358,0.34399109247165394,0.4028771943508951,0.3064710710614661,0.31053621611318727,0.4567348877073268,0.5190015514857944,0.4506143149762495,0.4988816322590804,0.5189034601672687,0.5299123579287566,0.5606193692816769,0.5485007746885339,0.5654982887149796,0.6020637319780688,0.5572635255654065,0.7787959072620811,0.5134634200087547,0.4339004799856929,0.3950093113800762,0.5763989855948545,0.5876982258336506,0.4106114579758366,0.35787840970084456,0.3838523189673631,0.3606045725372693,0.3359606487351535,0.36171180459601115,0.3606963037212031,0.4247838906643673,0.5464309610518011,0.5632129673386469,0.9024048772444672,1.4203589182756966,0.9754360485136715,0.6591694040319305,0.47210060337063603,0.5326814388660155,0.413759957076725,0.4929593700362083,0.4131089783059961,0.35244276951980824,0.3901498602437965,0.3498679216130961,0.5454122554813631,0.6490812180209685,0.58976675333079,0.8883284117493621,0.9704334244825713,0.8755503480441005,0.6263131402948924,0.4711653133129784,0.4764267998924118,0.4533046598258961,0.37421459971781246,0.4546313368310193,0.4480210327347336,0.7040375161096766,0.41847959703879506,0.5335146361961999,0.5151906692826398,0.48733352945452485,0.5224714890267851,0.594976694979481,1.9089039331372748,1.670512931390291,1.9005642123603517,1.8005462616943522,2.220574550791712,1.1766708607314307,1.495409635501554,1.4864196413966553,1.0410409312120419,1.0182232002300362,0.8868087782244215,0.7399514912766683,0.6916279376563781,0.5838964320870311,0.5840988472104733,0.5598103891932429,0.5106667240558748,0.5462707590097649,0.5115798121278483,0.5283593216991851,0.572226473251509,0.5954951070605702,0.574511934863334,0.5857358782774024,0.7246807145653429,0.643330077440484,0.6700802164657916,0.8166717149263212,0.8947598263558033,0.802133293029797,0.9062864563473115,0.8350108449886731,1.142685949654684,0.8717094924670115,0.7252396301639287,0.8196548166829135,0.8354166662836001,1.3304325830712243,0.9700714753026258,0.9946972332967441,0.968927844039119,0.7884172492002733,0.7824854605092131,0.6946358656704176,0.8212481617714058,0.6069883525999386,0.7444068712365264,0.7466199146969036,0.9004023591316337,0.693381339586716,0.848299581119197,1.0258285397029658,0.927458595020598,1.0316035398952954,0.6478603950875548,0.6157794763177817,0.6376153630072713,0.7059931654404364,0.8948632160804385,1.125827716373132,1.0019921467743562,0.903595875979959,0.8118380842541876,0.9731950278532608,0.9554896636901227,0.7664626074459703,0.9774795896460167,1.0946307930690888,0.8736186002598478,0.9736175050825354,1.2124691174607283,1.2766117769992624,0.9857311279372621,1.0378092724802424,0.9042706130105981,0.8495631935845858,0.7581826760710396,0.7349754555630811,0.7666411104299701,0.6908918486159341,0.6776240475085337,0.7019458544218939,0.7226523276630883,0.6411335307483106,0.6822926598687252,0.8994779680555077,0.7768483350037171,0.825636517685852,0.8572002836889427,1.2388851116666713,1.08850844481828,1.036544115689942,1.1604746683509797,1.2758505039696724,1.3812094810985793,0.9841726650897303,0.7906326751375944,0.6727544029948459,0.9753039094609597,0.971724168728171,1.0999407617499193,1.0200968949317173,0.8221591954433611,0.603733348300307,0.5363765186864997,0.5255179166191564,0.5610151247944243,0.5835263222256377,0.6705927145210756,1.2507770399015563,0.6504804417907551,0.6192568921226976,0.7146618961195218,0.8931581720088263,0.5280813435536134,0.6045392389441183,0.7016330436914374,1.4363369751632582,2.255659130813118,1.9548799040135507],[0.4346802150125128,0.30553467324579353,0.45021299212700605,0.31336673582146046,0.42259878019227093,0.3925685855716352,0.30816097437202405,0.41764279763861645,0.3492255120797437,0.288867845503922,0.3288391255533189,0.4120796740825519,0.3051746912058781,0.3052594548380939,0.4073047775007325,0.34654591639677745,0.40674083517045156,0.3839175318567185,0.48029772424194717,0.41840732008104997,0.4990572881467322,0.5559538543640846,0.6562100606202718,0.825416882910314,0.5844218430069383,0.5111562235822181,0.40310006646838636,0.33294031823964815,0.35036889094721907,0.37320714523464277,0.4533780172986087,0.4057924332928889,0.5191891291478214,0.4939954818453952,0.41847846718073134,0.3826438576891815,0.3853807323158273,0.3648221708253203,0.3409714737346458,0.402608698109813,0.6629663154778677,0.510446103994136,0.5602026885695165,1.0781907365955767,1.5387492313400515,2.695147473106718,2.9852483513751458,1.788496902273863,3.0964488915357786,3.858902835971335,2.1591844930431985,1.8676325641393545,1.2610946665276748,0.9834444372122708,1.018185553752996,0.5846861791576863,0.6067767209060833,0.6375924150824197,0.9277197845292549,0.8343850105914183,0.5987410788805586,0.6017818961923215,0.5935979969778068,0.6453075152180238,0.5537496476817224,0.48199961700505767,0.6831111483115526,0.4741077533277901,0.8017714265485614,0.7266361652314557,0.9359186448546354,1.1718445966557216,1.0188424626198296,0.8059814860320265,0.659244158343683,0.8665942708952675,0.5051747359167614,0.5280860551947694,0.43550437748595144,0.4368492958186678,0.40445500536892715,0.4124180857051288,1.077134249067172,0.47275280647556017,0.6507092889949024,0.36492480212771056,0.3428673744915507,0.4662260888954222,0.37966725899441656,0.49226682426664053,0.47581040469184704,0.723899139450682,0.5491141093831409,0.49315435245660655,0.46844702952483985,0.578585021411281,0.5334782409984122,0.5048209800342985,0.4813828819340415,0.7008004962870396,0.4767350500142804,0.6968705899379666,0.47711672859404025,0.569890922361122,0.580301882643241,0.5314488584608981,0.7289150616631943,0.4839877141035757,0.5121417436886241,0.7519891400645431,0.465801489941532,0.35584126678139627,0.3151033790533447,0.336663030775205,0.3352684600492758,0.3204109716906949,0.3852595543952651,0.4369651086491486,0.6230326734960359,0.48443121411357193,0.4412484943501351,0.3821417817825136,0.4362520832499956,0.31574395970824937,0.29441532354866506,0.39655546157000826,0.4225092832296993,0.40109403056057163,0.42485421958625774,0.44881666039680856,0.47443852672078396,0.5019784074986373,0.4975782876665659,0.49424671191502123,0.5572929320132969,0.5239079925221684,0.7460058147443347,0.47711659558348524,0.4279716926534291,0.3938737195152013,0.6414001104667756,0.6412963946815802,0.4660300450857733,0.36749115494715556,0.3762222916489168,0.35381229963060057,0.3257525852570044,0.34930809065062196,0.3314513170014184,0.3985717953796057,0.5073843282107837,0.5559751734822493,0.9131895270761742,1.56519523286744,1.049024300535577,0.6672836202704502,0.4593733335435858,0.5108030543573687,0.3734354154110835,0.45274743442342746,0.38058826988196254,0.34546533244400224,0.36394948311660097,0.34254064335221057,0.5065234122210582,0.6171758739502394,0.5748270147353666,0.8889418396165004,0.9671282031698895,0.8703926133300658,0.5950585148175644,0.4382839997204286,0.4387840854942544,0.41743966475591876,0.33940685697423145,0.4271744103172421,0.4360207939667489,0.6850784076322053,0.3969479284368833,0.4804796323605117,0.5020638249567407,0.4246881077222091,0.4645839800166959,0.5917858253198076,1.8322443385178195,1.703884980782855,1.8987997190131867,1.8187621326766767,2.2418554800361448,1.231658752771774,1.5290484399141402,1.4449544053229428,1.0367851836711517,0.9947760700763075,0.8575822519736406,0.7102127727069928,0.6450462735972274,0.5410764909015667,0.5429624759629121,0.513887947878564,0.4638606430693737,0.48951700160519435,0.454295759625113,0.49323385064660696,0.5373909089432058,0.5573235469615521,0.5422129845664716,0.5688260517678123,0.7012768044587899,0.6271223129035387,0.6696507621345011,0.8071946617527003,0.8679372091619462,0.8017902627426817,0.9106402246710712,0.837943273497961,1.1474046621389855,0.8632327480544425,0.7195216121761129,0.8157693727407072,0.8273838831699298,1.3314900129776759,0.967939296080691,0.9965703033185369,0.9596305006440227,0.768156323659808,0.7495932159771734,0.6651937258897396,0.7944463527629884,0.5724920609762569,0.7277605887394252,0.7122847540734832,0.8646516580521669,0.6524946305575127,0.8407838797929815,0.9838883632061591,0.8930183195878519,1.0104686562954075,0.5978544950802304,0.5717627630260514,0.6088860521086962,0.6764997194026098,0.8634262729157332,1.0849582001642541,0.9784503216010125,0.8630688164333988,0.7752978766723428,0.940189591649586,0.9098991339539524,0.7264740852840847,0.9431631090726988,1.0584332590701002,0.836675895219372,0.944803057402962,1.1826795462120658,1.2253714101382065,0.9600448586683773,1.017524522127515,0.8864299462118195,0.8251061703342281,0.7306660829672373,0.7102594876430444,0.7453404129585953,0.6700017776247054,0.6567179291918772,0.6836499482899939,0.7088588964707266,0.6211427179655663,0.6636102085367164,0.8854513281507755,0.7572560361205708,0.8025573809997495,0.8347547129090125,1.219047965640438,1.0633012274563842,1.0031773736722067,1.1421552947516627,1.2646865055266163,1.3425607561205855,0.9430313347772745,0.7627484495841229,0.6404959701016526,0.9083698005609759,0.9131989779303036,1.05035144233295,0.9850693400418625,0.7779557929836728,0.5632366515018744,0.4855760720560311,0.46987808141088966,0.4810768496195296,0.5108940902798479,0.617602750363062,1.307780215227881,0.5750427695541728,0.5701814463954382,0.675059588437077,0.8412989330398316,0.4984395785898532,0.575736320471077,0.7003733729408503,1.6885861004409306,2.5728047009879704,2.233108883319713],[0.4593207676617577,0.2996665111072799,0.3827219974121026,0.3014119234885366,0.39763228831720904,0.3537578472829903,0.25601291971877055,0.3708037759244305,0.3243423349796587,0.2777947416862587,0.31499319513287954,0.39742348792150006,0.29800735617739993,0.3240032027222014,0.4334239883671508,0.37206857325222825,0.4216656194488288,0.41368618547556457,0.5435677995565135,0.47969697170476033,0.581014442395356,0.6074797962640472,0.7429454094075529,0.9428888171911606,0.6307073291343958,0.5992042435338963,0.4830392892751202,0.37866991243333126,0.3775343824750478,0.38319350260552837,0.4740412787623234,0.40993839964113726,0.5353100441157264,0.5146016527229028,0.4308501614285132,0.39417093978124085,0.39273739039495625,0.38317848046222275,0.36932931492816257,0.43719301295435353,0.6796094428470052,0.566231099040504,0.603491035407254,1.1143597585507907,1.5532925529448711,2.722557695784435,2.962065096910753,1.7592782440661952,3.130156410447193,3.7903377345333005,2.168086648705282,1.855348623697949,1.2912581059356758,1.05386929371993,1.0321162857920334,0.6277558322415565,0.6511385644956308,0.6697326677012578,0.9269311997798269,0.8886519974858851,0.6451878773612255,0.6498875210434842,0.6296114373595921,0.7368359393948511,0.6148638673244308,0.5363141766512921,0.7384927359628858,0.5282324819363955,0.8705134121058967,0.7500985057448811,0.9423414363140906,1.1817054483452596,1.0285361633586243,0.8694631478576331,0.7003867069078453,0.9305204765924627,0.5582921120809916,0.564827648659362,0.45867317990671946,0.46652037986099615,0.4153435851751719,0.41319711157260774,1.1189933243827905,0.47569860039336676,0.6875087109336953,0.354172201859888,0.3712454713125584,0.45884246415960234,0.41091315305129855,0.5241871977997702,0.5159744309319219,0.7635848055164446,0.5950524451881432,0.5287115717231755,0.4917449681445229,0.6023659423583662,0.550742362147624,0.5182181925331978,0.48458837237581787,0.7168573603850626,0.4605299730834787,0.6715048565875062,0.4477938505226365,0.5381439138687604,0.530656728201825,0.48882971333065084,0.6721610145713225,0.4317625140829156,0.45951640244251435,0.7256529116434145,0.40573924302700937,0.306596408799135,0.2726233168499906,0.31556089420862965,0.3252348701438838,0.3377315286726825,0.40964755232613553,0.47806818071299195,0.6761688575395574,0.5046289486741581,0.4819730621328662,0.4179580257963678,0.4630268944108956,0.3212783867249586,0.28445331904479293,0.3651910991899624,0.34231260698717914,0.3625507041973687,0.36090313629700504,0.4023002338311489,0.4246688870247684,0.4469472600690386,0.44396890805143185,0.45701046679070817,0.5235377046013338,0.4951916260154016,0.731705047441505,0.46365228501026956,0.41982988382498987,0.4010182471037467,0.6615291933752239,0.677838970371729,0.5061867075001826,0.3957082925789001,0.4118656648327252,0.3770998374545696,0.32741019777702757,0.3546391646585758,0.3050847209410686,0.3715739364732252,0.4692416970889946,0.5460982555267961,0.9226826995935655,1.6962302733487433,1.11757568397995,0.6742256632680002,0.45376723603299357,0.488777528228897,0.35513636744486804,0.4133492906264677,0.3554632075701697,0.34815202540885665,0.3596256969312434,0.3516131476319445,0.4730138979587958,0.6073119540559222,0.5570797981904372,0.8590580966590615,0.933177809045673,0.8411765658841449,0.5779808391465442,0.42666354723410277,0.4113588438624896,0.3920711980779136,0.32420580432135465,0.40548966522852664,0.4127708110252058,0.6577756522807355,0.39542571720472913,0.4465600197377923,0.49058160107184146,0.3879389630525875,0.42606473186397975,0.5562739788518783,1.7134734386402937,1.7096477235676808,1.8845293384645865,1.8382204480487125,2.2717678955563767,1.2792417570455932,1.59820335089115,1.4431365501348024,0.9818430007133832,0.9613846391809912,0.8348030545849385,0.6778350249202633,0.6096190428921163,0.49880752984217624,0.4923124747708109,0.4728532519958484,0.3974341261520484,0.42751064343811973,0.39708698898903916,0.42930264584505246,0.46901922501882853,0.48778200069711114,0.48994699991969404,0.5105252432413375,0.6366809742038299,0.567326264092207,0.635704080064411,0.7566258528819827,0.8005727892618574,0.7699174305972116,0.8851888975700972,0.8164495199799807,1.1194416109461547,0.8353041708623697,0.6831199552694333,0.7721401156092709,0.775672686752044,1.3208791903257824,0.9280660936314659,0.9698493875943037,0.9178322580308723,0.7251593376215957,0.7185823070147231,0.6355791374214035,0.7404660136206849,0.5063064429001636,0.6639900761038771,0.6328776505514138,0.7877403931060435,0.5713262555813073,0.8410811490718398,0.927520656707032,0.8581849220972567,1.0168200896191228,0.5542664508768278,0.5333655111758284,0.5563816233918599,0.631147654681662,0.8419588749776887,1.0644295233215169,0.9816770146160796,0.8336383759586548,0.7314629885565317,0.9136352033266598,0.872822253814768,0.6709531964559505,0.8905879733485073,1.0046157374090838,0.7734631643320454,0.8816303041449772,1.123680313103537,1.1458989893865268,0.8938068844402891,0.957153750002318,0.827764585242622,0.7610635265900882,0.6683531493487538,0.6432650739980188,0.6825073344667751,0.6061257081890774,0.5894140831316377,0.6198632131378086,0.6537598085007534,0.5548402468796978,0.599101913707306,0.8343264778238698,0.7120350464850295,0.7600820423792461,0.7857014181891441,1.1851829268305853,1.0274065605722398,0.9629439997426084,1.1136114313947507,1.2526017610191502,1.2979319790032948,0.9045367775469613,0.7297327047556338,0.6056209268112497,0.8630265995959832,0.8622081490057092,1.0006048074800875,0.9455834738525376,0.7356583887291271,0.5260342257783478,0.43541212374459254,0.42806774957692606,0.4084419890598468,0.43704860601472945,0.5627198827326264,1.35266708749031,0.502666159918964,0.5098225445360115,0.6395958553138876,0.7831808341093617,0.4617760205073203,0.5704688789412441,0.7716283455907126,1.949007941277938,2.916425375158087,2.631080668044523],[0.4835114623494908,0.3606044422134884,0.405033820742868,0.35156051284815437,0.4583978785421271,0.39623750738534863,0.3175349556500564,0.39710081465846186,0.38788478025120804,0.3517534592609189,0.3771808069345988,0.4449101253285822,0.3567096836828538,0.3920940660714481,0.47086390584620347,0.4220548382458822,0.4873866439757235,0.4892719332837209,0.6470809494449008,0.5772174806930176,0.6762171465144251,0.700325922550075,0.8598711483158337,1.0565647994079057,0.7024397306336272,0.6918860432284889,0.5806391416961411,0.46090793729376206,0.45096108774671056,0.4371393726311581,0.5267639618779182,0.43600833475083856,0.5843260029214109,0.5719653690573835,0.48048908406397156,0.45990060036711117,0.4353541236254306,0.4717336100535704,0.46923521145868496,0.5478848121653587,0.7668571872275974,0.6689881619025319,0.7346110256670583,1.2278236519072696,1.6694324966752956,2.8148770344640206,3.076331274008534,1.8650171415047812,3.1766720669749975,3.7551476264636636,2.2571442827773196,1.9202210173280634,1.3777673378119544,1.103231773374996,1.0393973747398895,0.7367385305936778,0.7867351107747599,0.7878170195247227,0.9946504892870542,1.0057629723267538,0.7277334207589761,0.718408052498495,0.6866983257572218,0.770178974729801,0.7023490083824733,0.6131266627646051,0.7987396063288014,0.6046572909188828,0.9282136062884851,0.7982881269913933,0.9629889790006051,1.1849745594161956,1.032746857820273,0.9275396679191554,0.7575032701625001,0.993186568025907,0.6418793579582405,0.6362412750191583,0.5353273030740343,0.527169155100753,0.4737889541664484,0.47469012750101414,1.1590477414688278,0.5138536065700197,0.7954826907133999,0.41859975494165336,0.4426883345388181,0.5027183434825508,0.48864914176550794,0.5879612206705193,0.5946621795897893,0.8369460387207961,0.6639565266603527,0.5928124322348803,0.5483936532826174,0.6649417855209343,0.5986068201148323,0.550783076459233,0.5098043528953284,0.7448133738302665,0.4774565921666866,0.6587432332439589,0.4631179924933103,0.5641943437951105,0.5416027967938619,0.531048369009579,0.692702165786944,0.49421723911979454,0.5164207926601602,0.78734495060894,0.46989801775651857,0.37419817273970973,0.33360581572027825,0.37817432191689987,0.3702153158867656,0.4216681372615161,0.4576015331115609,0.54101643274693,0.7759954459640145,0.5644536077326237,0.5651792251678428,0.4751710202956221,0.5280619924998858,0.3923247990197309,0.3651770493050559,0.44386789291524736,0.404502457641361,0.4215372150683749,0.41534887387551,0.45044716355001635,0.4869288553202028,0.4890369905684176,0.4927145558496731,0.5083024406694082,0.5672768814448569,0.5475403033896292,0.7724349739598537,0.5217960605952697,0.47745625382590356,0.46694449131339333,0.6887193770539275,0.7546372989059146,0.5773396645132186,0.4726989018314577,0.4954048651126753,0.4589664244776171,0.4075368857613256,0.40420598472032576,0.3701249301179663,0.42795847114021296,0.512542327790001,0.5943862957959427,0.9217706661731707,1.782357556554757,1.1945611339896924,0.6939902519543453,0.4911270412739425,0.5289521584374612,0.38486333108848353,0.4508927900919629,0.42502026064481646,0.4241152612335948,0.43387962266817837,0.42786128009747537,0.5450971736940508,0.6815727476137732,0.6173905342203776,0.8964357857441123,0.9546961145231748,0.8585307727614225,0.6241669797485737,0.4915092474991312,0.4734793920247231,0.4441358329294551,0.38640450248181557,0.45113492883242085,0.4785281056841799,0.6872559095394725,0.44781845833385053,0.4935951144608628,0.5054168612369302,0.4137439743230909,0.4662100652539806,0.6115409179900062,1.7184087118911793,1.8011736156371299,1.9642685962715503,1.940882737761566,2.315012185872797,1.3770714126626047,1.6046823742542404,1.3365254884613935,1.0921947460675605,1.0294653315248354,0.8994732632457683,0.7520194433253268,0.6655482781157487,0.5682713555951827,0.5618644580994118,0.5252007451892229,0.45421549682975226,0.4698073677037034,0.4462796234833217,0.4719229339649409,0.4996770914592282,0.5268477482088346,0.5219905494788415,0.5331370906118477,0.64741761659426,0.602900288026,0.6617033256361449,0.7751212494801624,0.8232948773857844,0.8034277058599781,0.9087443863556606,0.8256647180219907,1.1277905298631015,0.8208671293765019,0.6872758561659281,0.7767522183793034,0.7685007525427922,1.277428961818586,0.9299375051427611,0.962387738851274,0.9281399274946986,0.7123418463044158,0.7057862011476747,0.6587858498342352,0.7541964679480978,0.5318742692677582,0.6818743061161647,0.6634970976895297,0.7919828758926485,0.5999609919219568,0.9071564792662438,0.9750823758354216,0.8982134093854197,1.0778076669795447,0.6142282347663696,0.6013022984422588,0.6060238568936916,0.6459037214795854,0.8718282471975342,1.0520606385500963,1.0166927786628943,0.8478436933516702,0.73352059792752,0.8952106286022821,0.8705705270113621,0.6635256730939993,0.8590437556316887,0.9697512222660831,0.7596275547774491,0.8556668436038816,1.0941290561514636,1.130426240354825,0.8893958083086985,0.9422702699444752,0.8224947124373803,0.7465598994654207,0.6588449727793192,0.6375420416546596,0.6794065923322641,0.6100140476921366,0.5906928874479896,0.6234914435021817,0.6573441972717923,0.578246531187418,0.6125544314569988,0.8265085514972463,0.7151925085456379,0.7971178252224514,0.8113741621005701,1.2050319584778322,1.0295158275142677,0.9404252148938457,1.1354840449714718,1.2710007696298407,1.230434075941011,0.8714835577413077,0.7221503065071943,0.6182911077033865,0.8109610367845145,0.8307459653183246,0.9863758971031521,0.9367085075481043,0.7561320189615378,0.5615212743438672,0.4933574656758351,0.4921568222367546,0.4405541618692348,0.48079816344810444,0.5812965960367216,1.3448413311245964,0.544303415331474,0.5436926871576588,0.6728417950304244,0.7906023173559847,0.5207697316608114,0.6268185804530088,0.8296432546976101,2.1121816193987737,3.0554954248863297,2.8927035002410193],[0.523139153059622,0.3982398926860437,0.44325178392837916,0.4119454293089855,0.43307422749784474,0.40141169979406066,0.3263573203773271,0.3999672585634072,0.4003596858137574,0.35653975566095714,0.3826222785295433,0.45895567781213226,0.37911276125754706,0.39922353784480097,0.48844093108725734,0.4482352087867149,0.49955190582328596,0.5104127782857716,0.6553475028235077,0.593000849441107,0.6997147662592632,0.6993283500569684,0.8521170324057085,1.0723686145831393,0.7087634629337838,0.7118346534566243,0.5955285839280461,0.49311739379432895,0.46802696973533053,0.44703143864132305,0.5441390483134526,0.4622375544126092,0.6139277519461924,0.5928901444280024,0.5018944877046241,0.47285563975989475,0.44587602841109214,0.471862211076442,0.48141145219108716,0.5467577839088009,0.7581077814877262,0.6636061463904473,0.6921927627868195,1.1394791124970662,1.5505426321827787,2.721162367110093,2.8722684922014343,1.6692906521378328,3.115386200560052,3.607048545125735,2.1335218739894515,1.8045281101072275,1.325830802183712,1.1548522293538896,1.0806229775883658,0.7109306247942692,0.7412602588685306,0.7291960532545103,0.9428627010964492,0.9590528914379826,0.7242815013640929,0.7347995111491759,0.7150919711857204,0.8331276165663368,0.7259533091127631,0.6355445078627204,0.8237473545428493,0.6268800103022657,0.9735769704386078,0.7774661894776512,0.9690362408265393,1.19195674474904,1.0302324454872143,0.9452371059543784,0.7665267955390214,1.0175315104701868,0.6521876193908543,0.6560351221703528,0.5522820751797222,0.5587147917800073,0.4953135949643522,0.49784873570868127,1.2220813216421373,0.5461239700604044,0.7519837151387171,0.44164498536973545,0.4584833046213759,0.5206671382763013,0.5080109281172586,0.6075345683918648,0.600739312057627,0.8453268938666609,0.6702769273885157,0.6109481810392999,0.562525763279607,0.664405907685677,0.5930117693513629,0.5647625945867341,0.53446589672401,0.786405172786596,0.5154623016785366,0.6692562319490578,0.5053217953359658,0.5672133270655938,0.5419947968022365,0.5157079816497211,0.6618283785664437,0.4600732482195648,0.4675727425886331,0.7417504857721393,0.4053974261229184,0.3630859655247631,0.334374276798022,0.37622484055526684,0.40463655766528567,0.4236530891086924,0.4943108595633042,0.5437453553115758,0.7699368970911405,0.5762365295588032,0.5623324060838645,0.5075453748724434,0.5523153608647479,0.39130987586423194,0.366118868196391,0.41321979396000563,0.34156733076452833,0.3815686291292744,0.36349400761541706,0.4180699852713483,0.42665179133341585,0.43771779341917555,0.44451653432732147,0.47522153209918394,0.5222564875971164,0.5109079306898646,0.7224418607664864,0.49645835440481256,0.46322484009838066,0.44298816790322165,0.7102142685609296,0.7696361386213364,0.607585981458605,0.4885749481057899,0.48222363549958447,0.4681181959182335,0.4174290227446739,0.43715339502596934,0.3947577914301254,0.4379863548125525,0.5097445063544792,0.6150791659261946,0.9538655254934276,1.8910474717647818,1.2271563798579055,0.7321277251519568,0.5224433123206751,0.553418335978949,0.431526873801944,0.4798866358447987,0.42895837817391397,0.44500370247688714,0.4446560200597635,0.43962115702701504,0.5155747331268757,0.6230842743084499,0.5634128708112884,0.8173638108715919,0.8734267075137349,0.8090095508677589,0.5854432187248079,0.47424642250354837,0.4715457602167952,0.4543136702560663,0.419198853608195,0.47580439925372875,0.4964894209072014,0.6947240100920196,0.48375051802829744,0.5134784867022855,0.5542863296161054,0.42121388961519873,0.4404483464120361,0.5814519251506728,1.561976674536952,1.7449022269750656,1.8895522442263357,1.8780812886825635,2.2704893584107606,1.307490476603846,1.6520254244058392,1.4665868226135983,0.9256839780709165,0.914403802639916,0.7765373894407311,0.6374039053122029,0.5771837805712935,0.48733018102862213,0.4866268254621206,0.4797715569673944,0.41473096712983637,0.44866520887877276,0.4086315993881309,0.4484339731729703,0.4861020615102162,0.5116532980389803,0.5194661004549603,0.5426402828666412,0.6363477744684224,0.6071335329037381,0.6878983178116347,0.756692405987391,0.7827808989482632,0.8222107566462808,0.9013416873677831,0.8390783263638558,1.1058879423239525,0.8321728429797526,0.6945511774041785,0.7544813483355708,0.7327216150688205,1.287834580982354,0.9114327223210094,0.9912564935723516,0.9083432991378019,0.6961990632648877,0.6919424628953008,0.6542312059039973,0.7004977730616925,0.5076804656691797,0.6782440138697049,0.6362464776400988,0.763119252651444,0.550058406343782,0.880715320708806,0.8484866578999305,0.8329289942264371,1.009356757015771,0.5549664037087164,0.5535606724468428,0.5849890741002916,0.6659097261856298,0.8765511066860833,1.0485918171533286,1.0166425706041629,0.8351572861909283,0.7161464253419291,0.8995662725602346,0.8319928029130434,0.640330427425089,0.8194073711299493,0.9136908969107271,0.7238526128298579,0.8086667290191987,1.0304172196939612,1.0313749653680642,0.84404846653674,0.8921405796832012,0.7927383307095147,0.7180015117376889,0.6376888805075918,0.6273592483305562,0.6622867187446576,0.603706020998593,0.5906364795312601,0.6010750998880774,0.6444124676393429,0.5560150440867707,0.584304713008397,0.8174673375302202,0.7095141341891213,0.7417721516085761,0.7610652391503381,1.1264257239601638,0.9771275040237501,0.9225843963517093,1.1013134487068181,1.2697873046842258,1.2064623575264057,0.878738576768181,0.751352845874765,0.6467072982052133,0.8347781072877417,0.8073001474544497,0.9278190743398286,0.9012989981805616,0.6832535430742493,0.5174415193554122,0.4258123348769622,0.4322551006422286,0.39895126559746696,0.4343674077084516,0.5709817379180125,1.4238077570328145,0.4884231198334806,0.5366673843304193,0.6827384548587812,0.7449988752322059,0.5535586007529848,0.6801746738277916,1.0337272860585185,2.4295874195592604,3.47804674264804,3.501045144702588],[0.488549747133656,0.392343795831189,0.46142196498423443,0.4979451728830974,0.5860008290156193,0.49122375203086577,0.47332137354754206,0.5128241140573377,0.5602719148783785,0.570634240192794,0.608049078811251,0.633594020644802,0.6049562100299413,0.6441355825038387,0.685477529100497,0.6720339300976551,0.7194475094297967,0.7474211265644801,0.9035181016997824,0.838274272480488,0.9362270518771096,0.9430491036455292,1.0942054827130252,1.3608014699091155,0.9904681709753163,0.9893414724874071,0.8598647818499005,0.7407664230073059,0.700625381554626,0.6613343948004582,0.7531947084178816,0.6730657409842588,0.7914007379430991,0.7949437488526065,0.697929484514326,0.7067989986204911,0.6490131022953859,0.7076231462678029,0.7244945216856041,0.7798604642445063,0.9939366350072877,0.915778016855566,0.9660927833502653,1.4300010933308973,1.8479448368986657,2.9778194027188793,3.1848519225712115,1.9685556063685927,3.2736607570973835,3.7268811453484303,2.3587540086900707,2.0399491253780697,1.5617882962553968,1.3201472568366623,1.2009507979315228,0.960676155585542,1.0232907449283628,0.9596804531064925,1.098189379318139,1.185903037152272,0.9750384443344979,0.9624283237614415,0.92542263768823,1.0355151536011848,0.9769836709155578,0.8729517506567577,1.006119639141324,0.8625193106852416,1.1831322086139622,0.9889239662075561,1.1394778286971277,1.2893132823641178,1.167696842753212,1.1216111179530548,0.9788165871753717,1.184528781011156,0.8859542607817853,0.8662672665775061,0.7936462251078621,0.8026204779618908,0.7171327346019699,0.7292987813194817,1.273117692732081,0.7201155341268455,0.9611402256625413,0.6687697208729793,0.7001304544340551,0.7245440456677386,0.7428313831899037,0.8089813678768328,0.822761769606717,1.0294014042834008,0.8759876639401434,0.8420717487091732,0.7783301589762089,0.8796270808728696,0.7847729334673829,0.753465353980286,0.694370587916333,0.9055211120813933,0.6619919026330516,0.7439658008963914,0.6559611836646513,0.6657089856302598,0.6592346135300144,0.6309539717562108,0.7436282547059806,0.5835757346206526,0.5918848559082759,0.814936904208537,0.5458325636210871,0.5513680872673545,0.5353370494598517,0.5887769347124648,0.6286731428067552,0.6803070987968567,0.731548004597356,0.8398466831149903,1.0215243415079855,0.8096631950250789,0.8226369953797572,0.7471199066046145,0.8161626005888852,0.6490865273450024,0.5893561715876644,0.6490617409692624,0.513881070301524,0.576302236135153,0.5585760642872913,0.5998957068889347,0.633843937712001,0.630279497916814,0.6532011809608589,0.6643062775181443,0.7337031848082057,0.7292930375484985,0.9258202435768849,0.7475985270856633,0.7570058251144828,0.746651572652152,0.9675195452107873,1.0573231586197007,0.8716504980571522,0.7835629789947559,0.7479341004812348,0.704075333316105,0.6644087937499591,0.6373041659794434,0.5842655296707236,0.5768790341657393,0.5900529102170867,0.6766265371678437,0.9909871512001605,1.8973691005629272,1.2727095042076673,0.8150938783508364,0.6458479984425431,0.6382642668655841,0.5985073804539032,0.6133716121066488,0.6442564434799296,0.6539170056623725,0.7098345856611218,0.696022274550246,0.7917810495278447,0.9054115927462192,0.8138746179910171,1.039662082446861,1.0740122724326706,0.9981964366257673,0.8115779653880372,0.7340283530952335,0.7112869140456859,0.6777017261347449,0.6272561178786183,0.6187884796632773,0.6520665304167571,0.8021671994695871,0.6725895991088963,0.6729392529429595,0.7113895236487277,0.5923366756110652,0.644750586040616,0.7780536282159737,1.678485982504179,1.8976678880821272,2.0548981937444233,2.077773247436234,2.443258132338023,1.5205142411807655,1.7110996651057313,1.411058494740152,1.1876489962210475,1.1442661514311414,0.9988518439005984,0.864921753918723,0.7708044101036857,0.6777792663715995,0.6468291848721746,0.6224524300889401,0.5119261044007808,0.5096771866794645,0.5047353788173068,0.5173991297419805,0.5219628906963153,0.5432587854690927,0.5569394851937117,0.5469995577170057,0.6534014172216588,0.6078301909411954,0.6701568543987794,0.7747846592854192,0.8204994957880773,0.8019653781029439,0.9075923485467154,0.83611893870719,1.1243309685532772,0.8381539735827185,0.7066663556244454,0.7872742194418437,0.7775630690758588,1.2987047346482792,0.9368117841545388,0.9832049558982394,0.9251172791643912,0.7307691261472942,0.749687085920036,0.6978186563992318,0.771300038067494,0.562576850318737,0.692753211829336,0.6867389959442002,0.8013968661425982,0.6260657215255251,0.9689308513433055,0.9603618999358436,0.9289848329126816,1.1449603925792182,0.675203547209086,0.6744034926498286,0.6603882701601033,0.6849516978322818,0.8859413850660309,1.0831000693630395,1.0475196043786392,0.8615232625925955,0.7488535826223981,0.9195159976774068,0.8841864075344976,0.6683989671170798,0.8609616048492449,0.9650845952955363,0.7558208999184653,0.8687419025168973,1.1142656547403216,1.1138997921967972,0.8973111709159779,0.9589864984561959,0.8296812696282895,0.7560219611967314,0.6626853216064026,0.6494539721032084,0.6889160332716007,0.6218483902356614,0.6012589018981682,0.636602289912972,0.6712651511519906,0.5955617093079821,0.6302883468948377,0.8378634453774406,0.7425629434478538,0.8267142631273998,0.8359277170724139,1.1893718046604331,1.0349779297847723,0.9413991476950175,1.1432986398453489,1.2934995395946993,1.238793372439848,0.8871188184944666,0.7475067502046656,0.6414331562025918,0.8331193979239939,0.8615387509397686,1.010141470623383,0.9559283071221067,0.7796943185639149,0.6300282642685443,0.5871031298740054,0.6027858568185415,0.48613280276865367,0.5116690316138148,0.6062921225051202,1.4311576306271883,0.5646143321762722,0.5637995134934773,0.6939255045283989,0.7774589210947309,0.5563996735044908,0.6515761771475934,0.9324685266080162,2.2526667804515688,3.27280883114005,3.184748776832717],[0.5644709809806526,0.4245157001338088,0.4895384836371996,0.40119959605364736,0.4731070289625887,0.44470114421720297,0.35760709653210354,0.46882167745532843,0.418602166864639,0.36107012321643134,0.40330469497999516,0.482278057421007,0.38762121426808216,0.4088704528368061,0.5291225792615222,0.46798971419713237,0.4765160411105496,0.5176219764071921,0.6560194755667151,0.5864553306086465,0.6976517928901277,0.7001218157361672,0.8750472595017356,1.0815204831919616,0.698210666260097,0.6976108108495207,0.5799928589082217,0.46308935282883834,0.4646918000396395,0.4673035995646573,0.5745253872007338,0.504331752846443,0.6531816853317598,0.6330639513873336,0.536740353886913,0.48982013191012325,0.4713648484850365,0.46899651449747876,0.4663460558751978,0.5460079277072681,0.767174305811725,0.6576696971355178,0.7026896379959785,1.1927812054259648,1.6444198648870154,2.8085500918428576,3.0294489612277853,1.7987282234790907,3.1658881901239453,3.730974000574902,2.2164897028274444,1.8723969878917428,1.3670337054224377,1.131432364745518,1.067055700158024,0.7166097221316133,0.7437982223768344,0.750098959337639,0.9740416560578629,0.9835868689786214,0.7264461333648115,0.7423768915677528,0.7180628328109475,0.8290476201871592,0.7076364781040939,0.628585466396858,0.8261987906424066,0.6392111822080494,0.9728381945748564,0.7956340622876328,0.9884873368840439,1.2195419679633568,1.0608996362777157,0.9779645477480722,0.7964482458643656,1.0436004047236558,0.6739944289527705,0.6947809737930535,0.5749873911648847,0.5693969293557103,0.49984215390570647,0.4847563701481687,1.2079917567092493,0.5660707717412308,0.7583462330126326,0.44611127984877486,0.449897436550113,0.5377754686380034,0.5055656761065174,0.6418978080477319,0.6385040233170677,0.8769342334911377,0.710621598440882,0.655228289658883,0.6059193376183132,0.7121719035743468,0.6447577395560458,0.6173433181487576,0.5931479385664011,0.8286224916040765,0.5707453070018011,0.7568145142668332,0.5630253000639353,0.6213997161366046,0.6060692128489459,0.5531298374540514,0.7197426635482693,0.5147671412571738,0.5500478668690919,0.7689967853034061,0.4818508382773982,0.4004893217712003,0.3605449114373602,0.39140603930970547,0.40323467577141153,0.39762606545071005,0.4719237953046515,0.5221539169572491,0.7505864461060067,0.5794444749953994,0.5618729791384379,0.4905522596766135,0.5230435024616283,0.38159884107277975,0.37748374600689083,0.4369545343472916,0.4208233160857117,0.441079227296966,0.4360210780023562,0.46150935578423774,0.4875608666149839,0.5013671631828044,0.5002917073557261,0.5116773025608975,0.5723544546107897,0.5447170869148568,0.7705711498947448,0.5062732906721971,0.44612656446102156,0.4409683264533841,0.6849833390538282,0.7455784243052233,0.5733279424051544,0.4528966941855543,0.46738007878881394,0.4569412622884419,0.40585362530055247,0.4304448811801868,0.40263609966872743,0.4576814834595138,0.5585649759586031,0.648480736592477,1.0330451157405491,1.8884025558015247,1.2224847807179926,0.7983937332153301,0.5747472605087139,0.6037135649822402,0.47244450329751747,0.5157709847969413,0.44517480608038756,0.4368862240294968,0.4352303331242667,0.427259790419088,0.5314235760121597,0.6421463476507946,0.5917970186773873,0.881065612326535,0.9523233619339357,0.8593922835342248,0.6129580093000606,0.47992982789623556,0.47488485519583934,0.4587639501088836,0.4135611644750522,0.5003003213699824,0.515628040235092,0.7358332269463645,0.4906075194359874,0.5206500801476447,0.5355106295777419,0.4451480100242385,0.4623654878993268,0.5827114388447371,1.671042899697055,1.7445383220361084,1.9191938749262585,1.8976680751657218,2.2935202535950374,1.3513387706317914,1.627621030424682,1.418614436605333,1.030093237255529,0.9887241790866507,0.8714913781877754,0.7201856664260805,0.6504404048706631,0.5709998228568718,0.5684365320052218,0.5395762969116777,0.4974983956607507,0.5297442458018422,0.48121766318385734,0.5391401627583238,0.5859385057729314,0.6023266105799394,0.5989123711547454,0.6492113533754149,0.7661926538184526,0.6953234944388985,0.7501137920643461,0.8690231292862102,0.9071566443808116,0.8707755861862545,0.9744996257501142,0.9000532970833122,1.1999265017169927,0.9228740947333625,0.7781479130086517,0.8760974763689418,0.8830853658377921,1.4057099570404212,1.0151588190731728,1.05808044534393,1.0141768455616065,0.8180323988276997,0.7970634126578954,0.7200944273408634,0.8208415680737734,0.6168851064329901,0.7527860284598409,0.7415958805147866,0.8833489927275557,0.6581180996937451,0.8832394323372229,0.9807416217645877,0.9069081617364799,1.0643478336143184,0.6263630746728502,0.5960512190110615,0.6227598073762479,0.7227113853797607,0.9210178130483443,1.1349011641184696,1.0558956673369289,0.9167991505716079,0.8345044548383984,1.000577366774222,0.9309722629421695,0.7789115083459147,1.0010576968774063,1.1003843370241633,0.8844046461867989,1.0129029722967122,1.246568096937711,1.2280616194184621,1.0188412226821204,1.088320010110614,0.9526453555283896,0.8949956316727246,0.7973850444787559,0.7775308104036781,0.8225189040969351,0.732780870968052,0.6996696072732567,0.7301270767452235,0.7560086804681595,0.6552407650154812,0.6964232199963879,0.9285943764647223,0.8009069966599305,0.821817104617908,0.8752658240685224,1.2666425405870596,1.1029207284829212,1.0399584858594162,1.194705340096604,1.3066907498101061,1.3986181309567063,0.973187312619442,0.7961207246831203,0.696369213411485,0.9009098201419552,0.904289889665922,1.0545756150077659,0.9852951102814468,0.7801166322068059,0.5747302585486516,0.5102419148030863,0.5032827347388756,0.49080750577457594,0.5263671975267438,0.6510339140008958,1.4540171325698994,0.5706765184019754,0.6200690952324671,0.7325769406991632,0.8282737663172981,0.5917151839121296,0.6689404351568894,0.8734403713817939,2.034112697241785,3.0903152742199134,2.797471487589138],[0.507750286678174,0.3772577704100795,0.45336884179472653,0.3672535245661189,0.476979525306995,0.40503204596201714,0.32563676951815956,0.38332892194791485,0.37769211278189235,0.3634792266426624,0.41460525475893706,0.4774220813701259,0.39410609280356634,0.4512963819479196,0.5308762383771575,0.49421065609275555,0.5454297566099005,0.5823421685360005,0.7284432026943655,0.664845341606998,0.7811417921540734,0.8050216169883416,0.9567857863867326,1.1344266491336594,0.7783199706486579,0.769753456912421,0.6506135317693478,0.5310337731294626,0.5151723308084756,0.4867374786295996,0.5980947406016918,0.5036153951529854,0.6307212550880985,0.6331121917802153,0.5385297394440499,0.5308152905740565,0.46521232417112596,0.5230588896029158,0.5168575926040329,0.5836908076103223,0.8241430913302225,0.7373273167422141,0.8114692510835022,1.3085591174884208,1.767066198360379,2.88928652140748,3.1851468273873165,1.9680012480841993,3.215892207933915,3.809173966673926,2.3171274879907826,1.9885782415567148,1.4318996292118757,1.130863884632529,1.0725310708753852,0.7915185036914627,0.8645687172835966,0.8324264722296709,1.0090190980543092,1.0755678222389036,0.833084738957951,0.812706716771467,0.7833557120169904,0.8501843442151018,0.7974960686383693,0.7013820253722856,0.8788280007450194,0.7204935624082911,1.0383823367653509,0.9042003931757614,1.0472585849435765,1.2573974580649905,1.102218018040368,1.0315791677990083,0.8490817215216011,1.0786703243399614,0.7333725562058366,0.7087864532836152,0.621263194034771,0.6079894594294334,0.5277034922461628,0.5284867067680166,1.138698787937945,0.5308494145201772,0.8396317738139434,0.46459199871117673,0.5032141723179436,0.5484709150615239,0.5584234373145375,0.6641614762027642,0.6845848519011725,0.8823261697632291,0.7340147391679573,0.6666407697649235,0.6182976908086032,0.7292325709619759,0.6471929803866484,0.6003529492094675,0.5496633991199807,0.7709938817199966,0.5260335821404524,0.6784708598259632,0.4995445403206205,0.5378712062056783,0.5251009958901689,0.5114462933720795,0.689203695540514,0.5164917417652907,0.5396423007505053,0.7640217395884193,0.4719538881852035,0.38052789119911573,0.34725383878685473,0.4001155130776064,0.4238638262151935,0.4520480180007908,0.5079496113748065,0.6050475603635549,0.8330133810390435,0.641548272302602,0.635732402557681,0.5469304656053995,0.596027737608183,0.44481570901933853,0.3896852214373783,0.4821248901347095,0.4363104966810228,0.4539937443516896,0.4547364909205024,0.4796149362737136,0.5314221340551558,0.5331442529260804,0.5567296351713586,0.5409265598147898,0.6166412847436505,0.5984919588410161,0.8226369460098378,0.5941264668607389,0.5279865623884767,0.5233654769313787,0.7533509964973935,0.8192288202157297,0.6284501320547042,0.5285700824908702,0.5294423134548221,0.48796942917173575,0.44116750537344135,0.429818846476251,0.37251126032070814,0.403474477019659,0.477768039554617,0.571855121684783,0.9334149972696022,1.764334313285107,1.1629660041373084,0.6971176788780623,0.489428739902348,0.5121598725182999,0.40935334005387836,0.4483349378261903,0.44064505201478676,0.4302941895845589,0.48903971035602606,0.47893806531647054,0.6011766130307553,0.7435693308792471,0.6872186671057685,0.9933361122603238,1.0423785295977612,0.9365315501539758,0.6906885705256198,0.5559538345807925,0.5182140459818168,0.478589486422978,0.41157142321372764,0.44452929015985676,0.4796800629187508,0.6722015705999016,0.47259887572256365,0.4907191100749697,0.5395920269545419,0.4175615538720924,0.48376590647948875,0.6394407884779781,1.791135372546636,1.8491879596538099,2.028285260956778,2.00481322184851,2.386357696303817,1.4362250782013852,1.5961006538144618,1.3094200670445064,1.1848181939597922,1.0888662719594455,0.9545428590349948,0.8118235952976126,0.7324907975686187,0.6241832372913869,0.6169114949229486,0.5638397461529588,0.4963797023979325,0.48529495569863673,0.4657357339328275,0.5244469029636623,0.5551631042491856,0.5627076499731283,0.5730051958621638,0.607382652706404,0.7136073077763935,0.6524511251279611,0.7264233121939483,0.8618880255916701,0.8989376462108586,0.8569461690399486,0.9910515837339093,0.8986591262437131,1.213027172678619,0.9214570295492593,0.7868264145781083,0.8811746711263867,0.8925001089682818,1.3881308582341492,1.027474822293332,1.01441856978288,0.9787848595273095,0.7597583756083832,0.7509318912065126,0.6904045615160209,0.8181421332148806,0.6052030949544829,0.723187885371745,0.7521412139156247,0.8760420515277775,0.6891790481899561,0.9332325849867569,1.0711356559214968,0.9734067186217812,1.1230748489016502,0.673365691969798,0.6257189998628448,0.6106074464573219,0.6696197947562275,0.8542355972897665,1.0596167942164354,0.9749878494083676,0.8473600620327564,0.7589602678770114,0.9219595484188232,0.8727021872186473,0.6983191699472957,0.9169356431772463,1.0237906281824065,0.8219573234489357,0.9444861775745651,1.1824123018898303,1.2106463684394249,0.9931127862780134,1.0626007970262719,0.9274373571106722,0.8496508760980581,0.7274814587507885,0.7184102552154116,0.7799515338969064,0.6984583467853354,0.6632572910103753,0.7176963228516263,0.7476738071931175,0.6606860204311843,0.7053682629126553,0.9249068770647519,0.8037077526366402,0.8810334056953762,0.9334330967983785,1.3346682946798198,1.159436021737135,1.070543841792457,1.2623715832605,1.3619311342151699,1.384314301392693,0.9798847507310576,0.7993046449687521,0.6865754347537882,0.8884502961056943,0.9285384352498685,1.0965474643493744,1.0263730200836074,0.843902844207882,0.6238021728992452,0.542430968389119,0.5204596852917389,0.4815255140093008,0.4857061729709129,0.5944740479063052,1.340611476781186,0.5493890050297553,0.5526586843039298,0.6501188501201377,0.7992810396008434,0.4941099624279266,0.5913141124707815,0.7569972460036738,1.8752995127522911,2.8494129843221656,2.5566512663684713],[0.5440006231763144,0.47205196707997726,0.6008737313353197,0.46177739298246606,0.5171605785730682,0.48507821398277257,0.3869218438395379,0.47725247496136497,0.3995666311351274,0.3316255024776061,0.34548702565802775,0.45033007156149624,0.3394310939320486,0.3377085737280704,0.4340650636379037,0.3876837707021162,0.4403544978865323,0.4150756329045121,0.5377339432988685,0.48576405921246313,0.5728930340644182,0.6159615718943924,0.7427197791691276,0.9357989044923288,0.6501894923540431,0.6079114993819628,0.49507800708545463,0.41186570724602706,0.4029994226124751,0.4045762872466479,0.47736855373136006,0.4340835424217297,0.5520814542867911,0.5279609172582413,0.4363996704465493,0.3947992327659726,0.4202287594971472,0.4147941035479773,0.40965319175770915,0.4567698705942928,0.6965888893754868,0.57222007175654,0.6232959517153333,1.129299470536089,1.5763336080873422,2.7090204361489074,3.023113257090265,1.814141289161703,3.0899538532228354,3.8213815634701787,2.1694874638827226,1.8553747310552098,1.290251230602603,1.0502660198886034,1.0486047976432409,0.6445907646748548,0.6715272499595074,0.6773218058066983,0.9188241757100285,0.8951378192425167,0.6431381601738414,0.6330763753634816,0.6309168785940117,0.7154085043300612,0.6138042255176046,0.5280152042947662,0.7268246977775448,0.5210563510986101,0.8541550337001953,0.7465663997203063,0.95139236643384,1.1848907046030013,1.0400955663310616,0.861550911029605,0.7078459585248975,0.9161288619466981,0.5471580370202681,0.5677269814708898,0.4639521299585791,0.4596082238957014,0.41422723833138686,0.4622579748286719,1.1043070446907444,0.5281644519188678,0.7140448975566778,0.40383278493926555,0.39729112832673846,0.48939459191437346,0.41229135373901954,0.5223716858724899,0.5025032722214419,0.769624777630067,0.591190257143078,0.5373070433282614,0.5024467070087603,0.6183367155327604,0.5584802642746928,0.5368823709784767,0.5170945722630793,0.758907810813996,0.5183085799372927,0.7421752658209724,0.5170336260443551,0.6225638512683193,0.6464745065687519,0.6052776576122543,0.78154400294012,0.5713268171723852,0.5984453877970366,0.7918000214469669,0.54892299896369,0.42472052718070996,0.38911946713086026,0.39951477485458836,0.3846871904582163,0.38546357380406726,0.45023700487637175,0.5052067935055632,0.7072501401302662,0.5138450166898426,0.498185984548522,0.4375479407563808,0.4809379317841594,0.3763759675450833,0.36175287598649186,0.4420334229794871,0.4601171351819959,0.4698791964705482,0.5234420678134595,0.5341007156015977,0.5796495012613364,0.6155070787951886,0.5910198937862465,0.5708622995486332,0.6087601044986217,0.5768125032470578,0.7915613324909666,0.5477337058021914,0.48859962520270217,0.45151535886628036,0.6804530717907105,0.6897982636239743,0.5225904814607687,0.43076005601764566,0.46494499370156683,0.4183794885175935,0.3817009379709668,0.4180873606585631,0.39554635390333864,0.45828952380582705,0.5583817399842096,0.6128344016386569,0.9787871732948714,1.6519089236788271,1.114648421282144,0.7340839190940524,0.5145978143606028,0.5688069038387348,0.43100332878571496,0.5035496209595961,0.42619303489558225,0.409491092692074,0.40242711464268033,0.4017715788638609,0.518210954685545,0.6933773455117718,0.617052518223562,0.9130973558425199,0.9996926654705873,0.87834194049189,0.628673364013719,0.4960377593054504,0.47581650225700556,0.47701272442532966,0.4094418833594905,0.4841188517313346,0.46865359295850595,0.697467274863958,0.4627005852996933,0.5076655430796453,0.5600106078549384,0.5051233988576809,0.551084182706258,0.6713241611577356,1.8491197108863386,1.7189672892738623,1.8806161462127313,1.8250467814320643,2.2433773782004023,1.2581278340232245,1.5442082825004382,1.4482796558233713,1.0664357993934177,1.0158467688488861,0.8950640362458164,0.7827456107054492,0.7466730278593017,0.6560699680487831,0.6504652988814301,0.6299762753470367,0.5876577984268425,0.6005166717765166,0.5728291222130851,0.6148301797785881,0.6546941494173456,0.6598418461128049,0.6479829512939173,0.6822475552362307,0.8026209904506156,0.724169322686902,0.7662785169324752,0.9061211528416987,0.9526583677123017,0.8801249649305144,0.9956382846345145,0.9128781670536349,1.219422889978487,0.9584613937703295,0.8216830588577726,0.9226736265951533,0.9391977148979399,1.4247412642189914,1.0336720991023376,1.0695591389421797,1.0007056389571178,0.8670296836263073,0.8652600405545383,0.7788868964196237,0.913209141785755,0.7017311900829047,0.8190831334009725,0.799758539160442,0.950876766793894,0.7639084510048916,0.9183394324120225,1.0870515890924104,0.9910807793186045,1.0961144216999688,0.7126123199998713,0.6577546629676583,0.6926033699767294,0.759309483426188,0.9085585401729512,1.1463467613505642,1.0155400783488946,0.9155669781277918,0.8523190935299805,1.025735577019995,0.9859371842349258,0.8244812104818318,1.0328253328834667,1.1397598819278345,0.9309342648520116,1.0484725814001032,1.2687078456612426,1.3009640744378461,1.0645825655515848,1.136762720895353,0.991344965163916,0.9346791159446303,0.8373424384512864,0.8291122115970916,0.8629410926497786,0.7861995941446532,0.776054800558039,0.7945629522338447,0.8097017025270251,0.7357252652086256,0.785840838524442,0.9909894391367905,0.861687175360599,0.8929853025553919,0.958910976338247,1.332279977686979,1.1778027157073427,1.1153702859457162,1.2575381499842284,1.3441192759167406,1.4492855800356634,1.0281917216535956,0.8473615441964268,0.7258438679115014,0.98742698456817,1.0209844786373017,1.1660911324199887,1.0969681893247063,0.890574015396881,0.6776769864462177,0.6022602952282219,0.5722388694731873,0.6006490470733593,0.6127352425740902,0.7113207346011582,1.3670338043161137,0.6650125163135059,0.6729907088125909,0.7604216707571019,0.9173313592389865,0.600429457449481,0.6469783233827777,0.7804258256152655,1.6333232277755383,2.591983589298529,2.2810950323363426],[0.4684878812174571,0.393864859727476,0.45558017922600863,0.3258824305154785,0.47027735526236936,0.3928725984803347,0.3153973058447795,0.39162824417772174,0.36006886491100776,0.30306591034680797,0.32265951376270857,0.40186347240516085,0.3053278799593577,0.3307247709013577,0.3986657626947733,0.3530803693020293,0.42108428766894324,0.3954552184651373,0.5060869411227431,0.4408092311974364,0.5303265173544589,0.6048214127380311,0.7324700676635282,0.8779695704868865,0.6230309372235475,0.556551571085347,0.45951722767677666,0.36428702974578364,0.3634466319208206,0.361807402229316,0.4484681397838171,0.3764493026166569,0.4846375460922867,0.47845271862628147,0.3878694703971382,0.3698727340813673,0.3645102900728242,0.39482498890546974,0.37734837049668735,0.45396121807680945,0.7071790450312418,0.5708517555814693,0.6732713089279331,1.2154926736838836,1.6862705997361058,2.804563657030572,3.185266535249568,1.9870874106179426,3.1598754646161247,3.9006950250472876,2.3057943354246655,1.9828869759939467,1.3822036289912136,1.0096697540925108,1.0118655368003169,0.6999342819464014,0.7379656970802689,0.758827947519404,0.9829355656712344,0.9451822077706648,0.645498172680195,0.6305180313518806,0.5927199046487387,0.6733297073154796,0.606263078420016,0.5125797873597082,0.7140804395061185,0.4883453511686757,0.8278372657105901,0.7484234156114518,0.9469844022399606,1.1883693633941783,0.9912347703839888,0.8413885817851654,0.6677006467310381,0.902797590236825,0.5177379610918957,0.5077653704505737,0.4185019012334769,0.4359727756535298,0.3935397498145759,0.43426740506005285,1.010732932725055,0.5058161913375155,0.7785648787713239,0.36493039424566925,0.3691806289312858,0.44159051977099995,0.3750901021178861,0.48927650126802635,0.48621190424325644,0.7426936029108594,0.5669126968188191,0.49812704894873744,0.4676084759290785,0.5993974882761083,0.5476120849733845,0.4859345682658325,0.4502260765861613,0.6723009444850612,0.4329642917743451,0.6635009002253767,0.41921913827688717,0.5143850953822661,0.524175295742098,0.5238235239770196,0.7064578747988041,0.5432954798174545,0.5591246514826037,0.7729950162022812,0.501246117169658,0.37470611453051916,0.3169434163284502,0.3458989325547036,0.3287445582711519,0.33230787438368464,0.3858804430953228,0.4762586529399312,0.6954430311646348,0.49133882508366344,0.4917808183982908,0.414920650065736,0.4534765419210748,0.3194129954726693,0.3184034351558379,0.42762221752942725,0.46529274355571865,0.4297033247137852,0.47423822861766607,0.49044529366892714,0.5607169024322832,0.5660881190805261,0.569011510475961,0.5341627622038784,0.6165390907426608,0.5892004663943575,0.8140299437432771,0.5561983169780702,0.46088691445179825,0.43573623983527066,0.6620985663065324,0.7135460842290726,0.5099300843961805,0.4081939023047776,0.4297727772209361,0.3774730145495528,0.34601266441943446,0.34555984493540365,0.31090378242473965,0.3778948444824596,0.4752580424569345,0.5291265809363037,0.8409962372303933,1.549979562947904,1.0767976926293867,0.6178648462249167,0.42168947823756187,0.45483638504861434,0.34224372467794323,0.4015019040476005,0.39305934657469815,0.3550788612872141,0.4056289910325625,0.3902852008493436,0.5560169685736954,0.6767095039395655,0.6575276085605595,0.9732324208021476,1.0517240163714867,0.9178593032765793,0.66647852204967,0.5021387933389233,0.476643703556535,0.4327651549195524,0.3449267000306459,0.3889855631024536,0.40819343524748775,0.602605628880745,0.38222534093565086,0.4563225981894934,0.4875950653721819,0.41260255548851876,0.5148039438597218,0.6779146128473161,1.927037917690333,1.8169656114927952,2.0020420484767416,1.9464649338645243,2.288665836279686,1.3421731193040976,1.4999559763807915,1.2466022712225193,1.246217728844191,1.13356702896405,0.9956717098728304,0.8419203956310302,0.741035100117158,0.6654822057351737,0.6566270611408663,0.6040567890646682,0.5315913025565981,0.5113868849091927,0.5069447546623318,0.5459410166036583,0.5621149628265286,0.5757465123815021,0.5778195574671484,0.6024797982558544,0.7028400182449912,0.6648883064744039,0.721136543449239,0.8542876271453219,0.9148195115617116,0.8801346087730706,0.990819267305613,0.8761461780362927,1.1874068511651124,0.8776654868224065,0.7463413441213305,0.855425624636855,0.8583078037675166,1.3072784805070339,0.9977392149843108,0.9796522356097548,0.9608988295953051,0.7544782387980271,0.7641775546452234,0.7109822942657589,0.8528043736120264,0.6208421827196684,0.7294563820127161,0.7732148951492211,0.8918085483807494,0.7100510835182545,0.9524419379107987,1.1296249916711691,1.0050659010258491,1.1600453897224166,0.7121024009568402,0.660843253455574,0.6404221768944918,0.6737021497334533,0.8466010311925735,1.0280431985528267,0.9587538459418434,0.8384641293647146,0.7495514496060038,0.8963491591621234,0.8788636931123152,0.7000177428617765,0.8942685129864929,1.0125536563960231,0.8177331062418026,0.9091504705258275,1.1333679404940764,1.2209865023150621,0.9611360133041859,1.0094709549879943,0.8892897023013916,0.8098445340580148,0.7025686419182992,0.691833572521267,0.7489665298423914,0.6834374963956674,0.6557408074480561,0.706449142978404,0.7344933199054154,0.6584857292115164,0.7063618136659188,0.9086321890598167,0.7915166888295984,0.8949293904444358,0.926746959962841,1.3135898390504925,1.1358564271562113,1.0362601291037319,1.2311584566570828,1.3318332962389583,1.298216467600659,0.9301696839346939,0.7671196324647932,0.6683583002513751,0.844707357249174,0.9118524155535503,1.0856887791463543,1.0271932593387614,0.8573642539128343,0.6334625659965314,0.5763676801651693,0.5440433186290582,0.5268442514325907,0.5418622009557188,0.6175998017680435,1.2516995284585366,0.612019988420192,0.5783285490403424,0.6672236851578313,0.8240444277114205,0.5147696835865584,0.6557370920343691,0.720518273140889,1.7427589729591275,2.493216011198491,2.2746824591922215],[0.4793747683582819,0.4846990910779001,0.6138003438453841,0.39911519253780403,0.543485285991475,0.46363937890071943,0.3847358314347031,0.4725977445134537,0.39979404797846535,0.3309310997872993,0.35229309865200714,0.4353021319476833,0.34088397272397275,0.339277409503745,0.39695216422450774,0.3716482321796847,0.42806969285782326,0.38785115832227496,0.5041290809250832,0.42553375359355217,0.5246507071405287,0.6158890953577596,0.7114482389865665,0.8847595901176002,0.6325044111664706,0.5631070735427279,0.4508866413498347,0.3556894159654464,0.3643592082424182,0.3826483121808483,0.4459142475768946,0.406406149877956,0.5002027581458925,0.4848101246549583,0.40264942087162103,0.37450212142413103,0.39395185086512624,0.4040117107193159,0.39701667756240244,0.47418943213603304,0.7348436611739888,0.5797386039122364,0.6944599009832144,1.239404130836338,1.7470038159214114,2.836872232259252,3.2834930337449797,2.070364384873614,3.1507079275229573,3.97723129637655,2.3584988484662266,2.0475116684078967,1.4047865462737148,0.9895448920417489,1.02274245121316,0.7143785728084613,0.7469362812573456,0.7564189084429671,0.9823307243680313,0.9417433009198259,0.6388671212544561,0.6005385194006778,0.5569649502140473,0.6530353836421977,0.5729102299652219,0.4795004071975899,0.6820476022992499,0.4710604062557777,0.8080997853754045,0.7429446323122342,0.9366690255612758,1.1783038766579128,0.9797950549554505,0.8272350597533739,0.6586441414641092,0.883533787622291,0.4924731491845004,0.4840160318122996,0.4066644520781914,0.43677208383504185,0.4176552854069449,0.4742470553007045,0.9603373339177282,0.5687806318246393,0.8051647274222863,0.4026928463333022,0.37488420119885696,0.47774414300063445,0.3642038154098833,0.4876309564865755,0.4794122354227193,0.7221145335617568,0.555208119780978,0.494148165982785,0.466764965851699,0.590346818189436,0.5432954772027715,0.49448679561415937,0.4790486358509158,0.7119354052279693,0.49008315192021856,0.7275089929223141,0.4911377925389925,0.5972262807875491,0.6194855817860767,0.6214707341228046,0.8095851288374718,0.6498144682730091,0.6626883500348363,0.8285259097503671,0.6030509063131667,0.45064595186366657,0.3815133190235288,0.3959976039030255,0.34833627491853403,0.3314913803300511,0.3797501825467828,0.45165621756807206,0.6603209361564739,0.478000933672779,0.4766315371243873,0.4091524526281413,0.44835895961336697,0.3290098507545153,0.342054642592181,0.47706522686251507,0.5624742310513661,0.5000948203885061,0.5806568275861075,0.5737939710534383,0.6626991579895974,0.6762625364410181,0.6605639794006698,0.6112550904064921,0.6831063730118764,0.6442807440855293,0.8591111913546154,0.585780711262967,0.4554179516487069,0.44387996759050646,0.6294485894626518,0.6915212844843235,0.48592549397513146,0.3956985254881226,0.43693214740682174,0.3777414117185025,0.35910738081083876,0.3720440116074745,0.3600611462169427,0.43133878860771074,0.5499615332598883,0.5761791083148738,0.8958226329712387,1.4969814057631092,1.0553134212475217,0.6708651566080577,0.47521503373511487,0.5206685867968288,0.4022019421469135,0.4670146505921967,0.42813525043712186,0.3687706202722919,0.4282241383432929,0.4144074740105728,0.593057874324335,0.7436803410735281,0.7104011989907775,1.0234135841884056,1.10773183093427,0.9523939013325686,0.7135792188579444,0.5374617569060088,0.517724882626025,0.4751146750494413,0.3828756448541644,0.44024692903067214,0.4530214593328479,0.6431798180220164,0.4245886335144742,0.5166221144413667,0.5272949275594708,0.4824672119433881,0.5867785317620372,0.7253557435845459,2.0435373998355617,1.800428221324797,1.9916046494619737,1.9537057749259577,2.289561778518678,1.3540330556257643,1.4761916050685007,1.2467126860306272,1.3274595571076924,1.2060493891582098,1.0805913998679169,0.947863094641963,0.8377921422475596,0.7656678031315711,0.7573299774529797,0.7056039668199822,0.6794483115533848,0.6700542905596792,0.6445457943936425,0.692375669215813,0.7356768954667077,0.7397998568102164,0.7123697070352455,0.7615088336249579,0.8922944523194734,0.8319090078256373,0.8639937297253804,1.0348526078904454,1.1034997978417131,1.0491686653410615,1.134058766707258,0.9811041791448759,1.3472022004309738,1.00104413680478,0.8901292983351169,1.021236258302282,1.044912501684214,1.45465117212257,1.1487034741739357,1.0921394893437566,1.0995160864929638,0.9177881682521896,0.9127013505588873,0.837041350394745,1.0120848423048638,0.7754902657398296,0.8618656460809212,0.9236127197377008,1.0341109553177883,0.8480861106874906,1.0036001062852216,1.2754337150996442,1.104635372285714,1.2048615292025737,0.82165712452298,0.759895041576006,0.7472231438826243,0.7927163259866473,0.930379145669963,1.1442323749694787,1.0360872667427232,0.9424051401741433,0.9097777535161229,1.0384397272653585,1.0270998777480795,0.8832728565380688,1.0844078678168214,1.1970442736123,1.011533857641375,1.117952732100998,1.3421151685796688,1.4299051094453916,1.179074693153732,1.2342040548230289,1.0892788016892578,1.0181315094272596,0.8972658976605473,0.8875525090748169,0.95751056109226,0.8672252229510062,0.8304781264594089,0.8877176433255561,0.8984323903676329,0.8094636732033451,0.8583868920901445,1.0453933250665095,0.9099766630133543,1.0059732262339807,1.0549543158686425,1.4336334003193223,1.2397097401176795,1.1386942705897134,1.328378020991847,1.390835188009291,1.4343450608280965,1.0174345163937235,0.8660945299948553,0.7868222285192573,0.928983989801674,1.0144644852067133,1.2002598887818736,1.1168562106657671,0.9612302495612266,0.7378806808344541,0.6886022731538897,0.6376917884511836,0.6763889337084737,0.6811544833915515,0.7752514369999096,1.2625228416760959,0.7502888883907699,0.7568605549851488,0.8249040001910205,0.9311507794473672,0.6703113686894411,0.7702981789534302,0.8427016535406523,1.3735074292541025,2.1222145614096104,1.9971803099861056],[0.4545227463965321,0.49898636249503603,0.668227852903117,0.4095112110945885,0.5522999004210815,0.44499975688498655,0.3589594120946876,0.467106403664301,0.3953823186753458,0.3044840737433877,0.31554551582202445,0.42806755580676553,0.3220297138844234,0.3088714593573375,0.39515390813756207,0.3459824582568864,0.39442790518312104,0.36287030422582445,0.48915503297411134,0.40779498808669995,0.5073629196026707,0.6134137819522764,0.6950653493700983,0.8501502934470271,0.6265934223761284,0.5489135612442176,0.4251111710881737,0.34499221637882677,0.349027334127276,0.36640375892575333,0.42840999764621446,0.3993464790265289,0.49620901758741354,0.4670968662352685,0.3894146306058417,0.3476427924721951,0.3900577451585585,0.39600561064544115,0.3778518038001536,0.47459972394059274,0.7323446971547963,0.5664284129497791,0.6864179530286445,1.2372386184051545,1.755551933991523,2.833474135854579,3.293212187895694,2.0840750652243063,3.133797395391355,4.00743855638783,2.356417080691788,2.0555924421116942,1.4007024275542423,0.9642934734946295,1.0443464094788946,0.7122655577627905,0.7253739484307252,0.7523723106615304,0.9966279887141494,0.9155072206765528,0.6292756158829673,0.5730444738344691,0.5431383132784614,0.6268452826550511,0.5450263135848783,0.4604931108479169,0.6726817300009883,0.4555824938347543,0.796932259287871,0.7369408799052619,0.9388625564642384,1.1759326797202674,0.9899074605453748,0.8236371621875898,0.6486834807148222,0.8688242604801464,0.4650120689724445,0.475344807485764,0.3890234754192862,0.3987462395648337,0.40267697035290145,0.47102561621594174,0.9693057515652583,0.5501090106941912,0.7751872916091558,0.40267845296908766,0.37080003137386225,0.47531986931490666,0.3361981587339292,0.4825714733589055,0.4409115004510995,0.70956154004234,0.5251781511054798,0.47416287896590964,0.45213813180902734,0.5757892458111941,0.5300459779586034,0.4958326205132681,0.47469985742391235,0.7123765505284729,0.49257941318492415,0.7470715781820052,0.504403376658614,0.6150362357713671,0.6390385012375752,0.6449701623335653,0.8591297096691316,0.6685427727032107,0.6796388917123507,0.816356301273036,0.5951103344336598,0.4533276919670055,0.3645390090450889,0.39407676526845986,0.33968505044401837,0.32310469174125755,0.38211830363829313,0.4522751368278834,0.6321766846333844,0.44650359003720214,0.45146394250896243,0.38118550799897094,0.43690467037107794,0.3159766620471405,0.32914860955654396,0.48783082191794414,0.5896376740084555,0.51097707143107,0.6106854928003741,0.5964093265590732,0.6929861478716977,0.7061303237233169,0.6890821185200847,0.6314471254198014,0.7160997336350311,0.6638752011405447,0.8856894241986393,0.6151423483623522,0.4734727004963873,0.4589944174414813,0.6367485139261071,0.6805122580803222,0.47608053319376986,0.40491871983589234,0.45033096399557243,0.37376758572287944,0.3627661117981699,0.3672986049708599,0.3605270294489685,0.42069932164255014,0.5513203116941975,0.5747302901507342,0.9278837512976582,1.4615604918525058,1.0052729468268564,0.6776915601788776,0.47308559501555103,0.5308667506144992,0.4124375331884206,0.4747424618136147,0.44537731813508835,0.3677099470230238,0.44070698834025246,0.4191096892003025,0.6028247306621819,0.7910829698158953,0.7303205240299507,1.035907425186987,1.1294215202271816,0.9682295637582243,0.7417093286282421,0.5662850167075575,0.5404548680450326,0.4850944363515316,0.38914487877558696,0.44432450853631783,0.44099277230944095,0.656736312277456,0.42090164936740065,0.5294522437635505,0.555125481523776,0.5082824256698331,0.6004775212629437,0.7251103282406197,2.0585569786933244,1.7266931875204277,1.9285200920165848,1.9183296216672558,2.265931036207205,1.3334721249214838,1.501540988100799,1.3059174081663139,1.3303944857471726,1.2275673777898626,1.1052176320369873,0.9904703268543825,0.8770647935521083,0.7988906850278329,0.8004012565701918,0.7281844314472214,0.7254854788455141,0.7175180948049774,0.676519887927643,0.7404459125707546,0.7856947283512116,0.7753082759196477,0.7630186296378801,0.8167913711133283,0.9485774523110448,0.8616203597837101,0.899260785784949,1.0893062182813122,1.1478859090830755,1.0780343419805836,1.1659147607951936,1.0122183841992582,1.4155673142118008,1.0702334959279718,0.9703383070232079,1.1010318685162759,1.1392656643705381,1.5113799177807632,1.237106108448944,1.167757363379012,1.1687636509235464,0.9877984426465637,0.9538173900021802,0.8897022909254302,1.0771631302522242,0.8449651146852075,0.9291658737467607,1.008157298395751,1.119241733046183,0.9239044145128955,1.0239269243360807,1.347741351949076,1.1558017206552342,1.2409502681892444,0.8873500933088674,0.7852385684958048,0.7782650185008914,0.8380646174346879,0.9565768669436957,1.2208793404140412,1.0362902110577903,0.9732536276682393,0.9684797121515203,1.0707803959313853,1.0520924862592713,0.9276024376310814,1.1459775419171494,1.252442398721216,1.0605040945519393,1.1970498325559842,1.4215161397270915,1.4943055675783927,1.256380943864429,1.3272495825391357,1.1695199089151753,1.1088508405436446,0.9791097390049346,0.9735196193326935,1.0433159908716347,0.939462847570867,0.903811973868815,0.9641964945352849,0.9677653941193273,0.8774228705114151,0.9242495467495905,1.0916471010012845,0.9787150618090787,1.082502006275983,1.1370654696603801,1.5175387351550327,1.319057159246665,1.2262170494971263,1.4172817486809863,1.4835806418781485,1.5119842231346654,1.104099254017606,0.9312193908061768,0.834683764368655,1.0223271620812702,1.0947472778519411,1.28590629302508,1.1767293726859114,1.0221320217169996,0.783853700373197,0.7266462909076977,0.6623126995603744,0.7051336076825299,0.6837216468635673,0.7799257142745141,1.1918297701660712,0.725575847354103,0.7560950975805293,0.8344050607863883,0.9147788549751834,0.664558261011462,0.7921942133369319,0.9331175839608224,1.2635045159847273,2.0909059392705154,2.1770402742349777],[0.4505961488764705,0.4910984079322509,0.6704978090811569,0.42274418979162803,0.5793553350114126,0.4639501735047109,0.3876308016063125,0.49248984020320064,0.43711785180331786,0.37403629202650174,0.3871011429060974,0.48552141601885584,0.38845292571387335,0.3770579659694095,0.4640685188755722,0.41593003823700087,0.463520738615477,0.433481379804563,0.5213711980721147,0.4601737402370188,0.5346703247442673,0.6284661248700961,0.688395550969665,0.8438646416818556,0.6383887591284036,0.5671479153244962,0.4607459454114532,0.39406638529777505,0.41397452231907933,0.43354771556506394,0.48675255560785424,0.4673906543649047,0.5469202588570807,0.5234612264928665,0.46611047543486506,0.42004742426752806,0.45339504838186273,0.4431289074787912,0.4195627625520527,0.5212810657697837,0.7772477799969936,0.5958896816206795,0.691248551126434,1.2097994356097503,1.7351656914102485,2.8462989901730675,3.248829972189631,2.029264134166794,3.1648579364993643,4.042112480606466,2.3345847505595225,2.063689671165561,1.383369523274386,0.9657643081349695,1.068700567707127,0.7114001181029345,0.7112280359182593,0.7507433926965305,1.0248506803196036,0.8895096740373623,0.6274001721135714,0.5888392642032251,0.5686559966168275,0.6451328525244161,0.5583455624415022,0.47606927520078035,0.6736993448056467,0.4933913377963457,0.7864251530858105,0.737104164329939,0.9729652530912299,1.198121364234894,1.0194633499784094,0.820128466741097,0.6728526823400013,0.8615497821954956,0.49245701449902696,0.5234638031748372,0.458927770274179,0.46688529896009145,0.47773259451878747,0.5154082731433403,0.9917347429047987,0.5902132266116905,0.7952344896185117,0.47047363964749855,0.4259401121567901,0.527912428233309,0.40434037646306975,0.5467427071360962,0.4831812066738252,0.7312307390817837,0.5536907942002861,0.5148364255561577,0.4977954741885687,0.60114533929434,0.5662123734565425,0.54561859814246,0.5278673858358788,0.7331395057298615,0.5317785751779245,0.7757594354306895,0.5486324492109373,0.6522730337365216,0.659738265105691,0.6657053838116997,0.8706163813749681,0.6658088088092513,0.6820950209006529,0.8207441524321164,0.6116385494734463,0.48853874061826424,0.40084497740392294,0.43300805711038826,0.38057753316279547,0.3964422850859295,0.44111860738869496,0.4755040066127456,0.5935359790563511,0.5000468154422264,0.4891042909816549,0.4347324029580881,0.5015154231974114,0.38647948406461957,0.3767136089670145,0.5205453633486548,0.6276838527538416,0.5240278066319668,0.6114853706006693,0.6003955246655014,0.672112504973109,0.6958830840588499,0.6748637644464152,0.6467949771054536,0.7133309047461837,0.6624434357278013,0.8850179166966041,0.6188273205176728,0.48406863036298386,0.4577642717918296,0.6575771602095334,0.6923665552658987,0.5121855572476964,0.4360218581113968,0.47053067745336336,0.41917047775463034,0.410573886451713,0.40926143692000416,0.4067912270651814,0.446679751310749,0.5712895219917691,0.5858362045352645,0.9282779265611373,1.433927687798477,0.9919760584551154,0.6928334305832811,0.5135349929964856,0.5621666458271606,0.46254818650595875,0.520830654319224,0.48483507896561606,0.4191431204939191,0.46678701078604706,0.44618281529293163,0.603802482849914,0.7666812596667409,0.7197454419534529,1.012116890338707,1.098456329812984,0.9664191594986711,0.7344296472486876,0.5736055578567518,0.556169900667136,0.5063467843853117,0.4446872452591712,0.5023290608260866,0.5045402267822319,0.7245396603494215,0.4794279464051337,0.5791013014865719,0.5709688452864304,0.527675472305881,0.5977850998225707,0.704041804041447,2.0111027059938356,1.6837875540577487,1.9064341034612151,1.9042259935431514,2.271343271543257,1.320926377765427,1.5533232341563725,1.391177468235488,1.2189871948876527,1.1544104140987543,1.056716301039878,0.9418632693308199,0.8508378281682233,0.7717989549715483,0.7801569446997796,0.7024823809875299,0.687263817278393,0.6938323569805263,0.6545397927191585,0.7034791970035915,0.7467322746511125,0.7451028314679257,0.7297649201707113,0.7671033553065063,0.8977189398865285,0.8118131724758,0.8376372299374223,1.0133941656014636,1.0880354935739507,1.0026407299169153,1.0825060900366827,0.9501003182446549,1.3157069195618614,1.0059459259809513,0.8948485063569068,1.0153390381056209,1.042230523211449,1.4407145371650072,1.1425930967216138,1.1277543411285786,1.1119495243497677,0.9363425939153683,0.9030592324372501,0.824627619164789,0.9924459087791528,0.783398770433006,0.8867190772703919,0.9324560588021024,1.0527499478251767,0.87272065930309,0.9830869172899441,1.2563888401917005,1.1108635632228265,1.1857816147054245,0.8439580950177824,0.7652220174111846,0.7689806152117656,0.8238116669616202,0.9670274780980542,1.20850913722391,1.058059757937168,0.9865163861387013,0.9482792736047918,1.0740016732200384,1.0558105615078348,0.904735269334777,1.1195606006879686,1.2300607223981526,1.0257301185332908,1.1458516752505206,1.375348407376796,1.4504438248658433,1.1856586901345587,1.2477930990528319,1.0963469251429478,1.041578184461692,0.9316673782001355,0.9158777824981537,0.9634062170891693,0.878324027793404,0.85239101101332,0.8949566895534666,0.9003879540856476,0.8297981537766662,0.8670417213509813,1.0288896712001425,0.9371567708866615,1.0421226356450188,1.078441500327173,1.4640625782554488,1.2701063439235745,1.1871423077615482,1.372928685875894,1.4443490544288595,1.5136711478719704,1.097257263501267,0.9103244630164443,0.8081017460009976,1.0509357918290825,1.098734140827869,1.2675158341585413,1.1626316504769052,1.003268040246615,0.7615259920430999,0.7070007906597066,0.6644326723630186,0.6934886663817823,0.6770011391267942,0.7630861473183874,1.196758537119176,0.7286648207882302,0.7385512761055949,0.8224053798567934,0.9260215413401054,0.6558232592395964,0.753156282506611,0.8966854528919551,1.255060176758026,2.0994421891312127,2.120198070310352],[0.656743975782505,0.597043741817962,0.776620861822372,0.4798526854510552,0.6246740251654807,0.5560814548540485,0.5060534034576515,0.6669056062617519,0.5912953233973122,0.5352375376075863,0.5682534665840231,0.6464618646164041,0.5591608506588001,0.55641172538072,0.6428455985854152,0.6012494799270556,0.5900984656171678,0.5923173338823949,0.6886957779692069,0.62140379821059,0.6966387977324917,0.714990502227193,0.84219775080522,0.9459007314384922,0.7827166749205937,0.7191293312189467,0.6198263813983923,0.5599951563581169,0.5728779879315883,0.5699256878973248,0.6601783104967228,0.6230963652640552,0.7376940188146901,0.7243747629874705,0.6313037041564806,0.5612729012928492,0.5755233916778025,0.5596083231306895,0.5464060402003649,0.6851510641378831,0.8350930182525859,0.6492568147752249,0.7032549027745032,1.1286379370713255,1.6587540513268086,2.8264906337084947,3.135261462423786,1.890161845196607,3.168718359612273,3.954353560296345,2.2698950107105302,1.9666404839281983,1.4403585758909,1.1171978288753632,1.2122085917636698,0.8179336891810677,0.7306514256191429,0.8326191865353519,1.113235704763672,0.9044189675586246,0.698451244128498,0.7099009094073773,0.7393354946284199,0.838546051314407,0.6830171114412839,0.6580243746073424,0.8751474983815963,0.6916139545337322,0.9782932135096247,0.8907458334093524,1.0526980998935118,1.2761338192267886,1.1567809256529225,1.0094835066384504,0.8789066056128858,0.9942250059085254,0.6965670768958977,0.7264361806456213,0.6174189612063935,0.5951260191970587,0.6312264060909267,0.5859347115514356,1.217310162277403,0.6886400692580238,0.78431640194897,0.5975340735333996,0.5716138592698764,0.6063090845040564,0.5572243552973944,0.719127307175254,0.6889149638932595,0.9218286552334019,0.7506408484952285,0.7405879310762137,0.7083337018794135,0.8140019362213629,0.756875804620577,0.7268371883042477,0.7197121359823722,0.9481798989902178,0.7289274139447489,0.945025788869576,0.7299446933539098,0.8235460756679672,0.8038949864970365,0.8057994307145874,0.9864776832104134,0.7339974443281678,0.7524761100592643,0.9621446863799434,0.7083110636832683,0.5892673388220371,0.5274584043225193,0.5467356508731456,0.5234444397432103,0.5143362435340605,0.5946992972950743,0.5900524340700846,0.7438374173056772,0.6351908051944808,0.6323453410824069,0.5794731184701745,0.5997595034074007,0.4934958982174895,0.5029464747631843,0.5602387495290106,0.6995345653763364,0.578717316167528,0.6543257300215893,0.6646245313610513,0.6607093884109448,0.7022256756231715,0.6595865309503824,0.6993971878828791,0.6993192866044361,0.6541537360556857,0.8938460754597121,0.6202112908069847,0.5390208784151,0.5226974185875244,0.72328972569484,0.7419583818662183,0.6242245098045824,0.5277835485859739,0.5987473897664096,0.5603581127971095,0.5337732538929532,0.5559459308672795,0.5773230966002554,0.6078718842274133,0.7411724102274723,0.7812277124732514,1.15712637559736,1.6737108051211516,1.1829870828024283,0.920962152853738,0.7005381095136286,0.7617361478076706,0.6354683823787367,0.6830992346598439,0.5909067557354686,0.5543730222408105,0.5128192339733224,0.524358042135847,0.5764404106352194,0.7249911693275014,0.6898232850047343,0.9523587199313625,1.0271142041414603,0.9260079145689432,0.7071713718809517,0.5628211090728742,0.5740701501728078,0.5759714629220215,0.5744954748861543,0.6801820444314595,0.6591869189463073,0.9350126806971203,0.6321390689373846,0.7317604829185042,0.6492246581948109,0.6174540184489533,0.6082563551856427,0.6686182511779355,1.7808142247535397,1.5566204334568254,1.8035599033244991,1.7604806957069548,2.148828809061196,1.267084734635957,1.6616265085240287,1.6190753545154484,1.0401198135919727,1.0399480277765751,0.958061014486378,0.8587016382506333,0.8107440523316837,0.7479167284749517,0.7672994037572355,0.71589867630044,0.7268150237060079,0.7916543557521603,0.7123574871664047,0.7427051123440198,0.8243239991501886,0.8253938866755044,0.7676401848790643,0.8265063702067487,0.9694245177287811,0.8500704467242173,0.8713047728742991,1.0336700401680223,1.095972650354419,0.9640621062666564,1.076598904410896,1.0089119353920593,1.3129787148336722,1.0978428817120995,0.960292690996941,1.0687600398209818,1.1015537183861435,1.5314622687458355,1.1784778576055221,1.16331812172693,1.176415229844267,1.0233684810175634,0.969271100682685,0.8854844493930742,1.0072088112224113,0.8356012265612339,0.9562373139687895,0.940958872495958,1.061710197204478,0.8863948538233036,0.9898940715437946,1.211173780223178,1.099812700906018,1.1365118079354466,0.8442529198661363,0.7694505661117613,0.8196565450699235,0.9363541460085694,1.1095772144938412,1.344723101286915,1.2262916857558195,1.1306230734668714,1.0882464523578779,1.2469857517196707,1.1920362273143492,1.0242967658126811,1.2550459351529089,1.3590747310557405,1.1204916934592972,1.2507866306447597,1.495634659970216,1.5147680865288369,1.2482079907554662,1.3322714296516223,1.1707772385698278,1.1373199297742667,1.0374545329466434,1.011291374268107,1.05217713668156,0.9469612840326528,0.9268864646127934,0.9644370693310914,0.9627170324544714,0.8760176859615239,0.9154493068630727,1.0753416465391272,0.9840349802167687,1.042593655620615,1.0997713932002129,1.5042903342150247,1.293852416453135,1.2214930900690941,1.420908266133767,1.4904733384452624,1.6459856915388498,1.1823947206368866,0.9783554840622126,0.8679190892259123,1.134716612841471,1.13236406720495,1.280080656418322,1.1566076663242693,1.011533845644879,0.7585589822817382,0.7070082715607631,0.6842758099792662,0.7440358221437533,0.7645228177252071,0.8743090313272438,1.289180673472475,0.8010006235855747,0.8293707486759647,0.9394677912583355,1.0897819982348427,0.7191292333724347,0.8088795384192942,1.068276598781206,1.453040808514738,2.5139261387872955,2.439808012416489],[0.8364051169998914,0.7025595620715663,0.8368650111993344,0.5566967333421841,0.7008530636758427,0.6392189505149195,0.575430531808344,0.7554485880073375,0.6139626077483574,0.5327104052386262,0.543956366545711,0.6582657457462656,0.5703634108764387,0.5196318062303512,0.6236575901837443,0.6021643966026223,0.5703747121391421,0.5731346059252547,0.660009798097702,0.6076303963349825,0.652910231385605,0.6761659366665749,0.784314273056467,0.9141485095586599,0.7379502071843375,0.678661761092957,0.6043803644073205,0.5394310449033107,0.5683715626509411,0.5927500515863736,0.6413399418478132,0.6431043255640209,0.7541103971315529,0.7282702303251413,0.6598275034386952,0.5803832009884604,0.5994743144343774,0.557717008858325,0.5495471844613998,0.7147740891740347,0.8483988808130475,0.641548753977142,0.6795948910318891,1.0868711094034693,1.586293083263792,2.782243682748149,3.0220281187119777,1.7767558603274867,3.160346163228954,3.91310229187533,2.2281756590071584,1.8915792388136785,1.4528893337258082,1.1479517141423807,1.2652030918718735,0.8180476531996409,0.7099663843763575,0.8310425024346255,1.135796014342486,0.8752247139366628,0.682889768261258,0.7317311815840684,0.7379959700261035,0.8306089560183307,0.6753748840476325,0.6464135168808063,0.8337471753362475,0.6759064155115436,0.9526594161103966,0.8187130845834525,0.995147310757356,1.2443702111877875,1.1026621592697488,0.9686012597320368,0.8176515034697034,1.0159939096057742,0.6986765174308145,0.729422207115938,0.6417984930681904,0.6320167183769961,0.6638076832644011,0.615665532639308,1.3225585427110813,0.7846050300579568,0.7603103111770743,0.6337522399333368,0.587308867416264,0.6263573673420905,0.5820287833940357,0.7413387448414964,0.6691292831117838,0.8485620796299859,0.7127979846005571,0.7256245122621061,0.688181194513376,0.7786694221766925,0.7288508035310575,0.7292104104400814,0.7472738422134121,1.0069347361279688,0.7948899338066774,1.0229688389021416,0.8028132347100911,0.9217556514891679,0.909418858232465,0.9141353954034077,1.0936714824059932,0.8323754067130831,0.8510884985159143,1.0755576368548614,0.7980055070443409,0.6741594549309432,0.6031609693406315,0.5931369166271706,0.5313894082504605,0.5265198790533201,0.5917961516341377,0.5701436439011102,0.7003252581446229,0.6175877923927838,0.5860321507821977,0.5459770416448738,0.5674130315891,0.49697921895629754,0.5317078601439382,0.6209078057132745,0.77294267720224,0.6645851203287618,0.7283452711268018,0.7505544551853931,0.7147138418279976,0.7786637666838039,0.7038569518383232,0.7958549041716964,0.7206599714370402,0.6726149976682405,0.8986758307319364,0.6348384232205169,0.5704794658482082,0.5434992722206865,0.7005196089778261,0.6962422655226801,0.6016859221378413,0.5340824610360825,0.5967539130302139,0.5744368753904544,0.5537786545194454,0.5898808254827708,0.6481147185799442,0.6682373002609422,0.8369548693119967,0.8662145469054405,1.261900829052577,1.7842665580263108,1.241316835410957,0.9991212310037373,0.7639382936728837,0.8544380976206878,0.7038783389072037,0.7825101294815683,0.6492107714915567,0.6096828751973322,0.5593430750027831,0.5730917633218436,0.5919357497438638,0.7033369318580136,0.6613474054974962,0.8592432431116116,0.9187644951665455,0.8479783129635667,0.6855319718228636,0.5737189801737514,0.6229150099908385,0.6522361632983041,0.6550857232107665,0.7719057308786883,0.7215679038080767,1.0142800422564555,0.7208790521209834,0.8310228258862937,0.6960081853627719,0.7133757896699009,0.6922962331090067,0.7012690167350863,1.5973887063009935,1.4574784074393559,1.749081864045191,1.6809558773267326,2.1554638930409804,1.2880061946375116,1.8083784761526174,1.8226715955457498,0.9114911959789074,0.9614502044300608,0.8817519565254301,0.8379890584385968,0.801481355323396,0.7793632648915606,0.8064176083264469,0.7936100271032694,0.8092927805601323,0.8998609664578529,0.8083749258253883,0.805483816764081,0.8916821205396788,0.9027785762182606,0.8169382302360351,0.8618743993558906,1.0279968911780761,0.898776616747046,0.9016983278540575,1.0415181146705168,1.0968233684627227,0.9622834970662933,1.0663286465537376,1.0057619121930155,1.2859709726435915,1.0522311086681462,0.9559104459129164,1.055432100199408,1.0748768953632897,1.522340808111428,1.1660958160614254,1.2694999688327127,1.2607004030672202,1.1057433304016446,1.0433573096466517,0.97620702072102,1.0039055790696487,0.9083438929947991,1.063139505513976,0.9862364719483381,1.109541208261406,0.9376929775799416,1.015055511127022,1.1560476044552932,1.0542039926539217,1.1154177847986273,0.8669793082797844,0.8560189596406944,0.9251983724378798,1.0555590679815394,1.2457667532623757,1.4756670750710503,1.3710815307118283,1.2738861172377685,1.2057726807186049,1.374989976744067,1.3033538129152584,1.116397127079117,1.349438998927555,1.4423372805855095,1.186291878572744,1.3155079283780757,1.5612322070439963,1.5281619604752836,1.2727920534326203,1.3659060359304869,1.2090187030849313,1.1880350274607525,1.1168524707439182,1.073516720123254,1.0830937063972188,0.9918672720554474,0.985484243160644,0.9828362527923257,0.9690686071444949,0.896340633077279,0.9254559378867393,1.0304727209600344,0.94223198898451,0.9894255529489526,1.0057234176676815,1.3852288938487354,1.194552675394698,1.13831779514683,1.3047290959974085,1.4045801399046562,1.554390552770012,1.146195963462667,0.9629628440003828,0.8829463159664306,1.1486599323652589,1.1065714174154369,1.2175164972908357,1.1255154702004608,1.0046486272526485,0.8137473745553433,0.7684492681077624,0.754212262334817,0.8270091464477988,0.8392490689324389,0.9305722036298757,1.3413043437689254,0.8572207802825553,0.8675887424521047,0.9986309224743717,1.1977633159890055,0.7663946299857489,0.8603208021585227,1.0673061661796277,1.5808509490427394,2.7565359141930856,2.579827737962918],[1.329400217841186,1.164363908226767,1.3158887022088284,0.8766042558107118,1.043550845583342,1.0034610399156645,0.936269530670914,1.153730424300608,0.9886593772531604,0.9042378415424958,0.952171282528204,1.0870351397632898,0.9581804135845994,0.9041583505912748,1.0002156820965253,0.9873264805604088,0.923387723466975,0.9140668772307273,0.9505576653961615,0.8942834739412218,0.8869035766217055,0.889051761446645,1.0768377658264308,1.0855557072582913,0.9512228098917833,0.9081587642576088,0.879044851744933,0.8297059047672474,0.8867307419954145,0.9563897468978824,1.0386932686483044,1.0564962039590167,1.1539618549669362,1.10308387738044,1.0752851543621296,0.9626681644801128,0.9830145993098857,0.8829265663215773,0.8426024100860917,0.973928052152035,1.095284281615407,0.9441785650361886,0.9371471090096591,1.380060531243974,1.7853151557187328,2.9948246764670428,3.2409830576991143,2.058869605172462,3.4097541312197635,4.163952399425552,2.485563499880768,2.0995274080594393,1.5651627952008829,1.2396713642605672,1.3498789454987952,1.0432711128530665,1.0088275430172209,1.1363092915592248,1.4248795838306672,1.1490222525493026,0.985589279330282,1.0793776505708237,1.0761170525329924,1.0774934687791968,0.9712756148438733,0.9762732812332092,1.1153857360813857,1.014430311697594,1.2962549143041862,1.122034065108,1.3564295672226412,1.5698869519060512,1.3909933849238563,1.2939477325992204,1.1348648799310557,1.3018654270775811,1.0375340641855406,1.0934852061169555,1.0190657194500379,0.9924938970481577,1.0014186005142909,0.931422269809825,1.5499842249358349,1.1081359211025101,1.0408906059936174,0.943168592413884,0.8979359606108763,1.0128915395438096,0.9709310916415906,1.1111048618437522,1.0715791040061007,1.1939008375679458,1.1256333900619204,1.1265493363723662,1.084309495521857,1.1826714720313896,1.1126109347069633,1.1457201501149836,1.1876165595658783,1.4370974627535122,1.2308037868763848,1.4286297444851987,1.1856277461760543,1.2883659905653237,1.259349113966814,1.2926446679893995,1.5325755955522038,1.2710664255500097,1.2953108805859612,1.4885011439781402,1.2238549667568135,1.0449213251657545,0.9809691507092045,0.9024150975766044,0.8268111681540365,0.815210091719135,0.8610755325348746,0.8181002227775398,0.9822474287474036,0.9294592012010741,0.9106914787522477,0.8538186885081448,0.8139056786085954,0.7729712511734298,0.8209173597554454,0.9200926143384645,1.1498172588311069,0.9927737382424072,1.1013781668719942,1.1251859096730905,1.0991400815050925,1.1979351389527928,1.065474851460386,1.1564459119626795,1.042370710125294,0.9678663772900017,1.139975256306327,0.8568778686461064,0.7655960155290371,0.7637756432813146,0.8455831858200994,0.8474821631239218,0.8180684881941693,0.7935974430361439,0.8578707868258175,0.8623501388036323,0.8421804857463339,0.8944130516628591,0.9961740717560377,1.0316169153080073,1.2357008912714864,1.2627335885027147,1.6212622829215424,2.0583245441824225,1.6009480370811715,1.3910024996777899,1.1803767915439154,1.2594084779807422,1.0961359065606588,1.1212777508989011,0.9662749396997591,0.9477742133898344,0.8362590362666925,0.8643124547230703,0.8705895318692982,0.89893221771247,0.8664073751913066,1.024810170426562,1.1069485192393933,1.0139036535258112,0.9176152790336841,0.8208746369455721,0.9097022754318639,0.9575920702063427,0.9906283398044373,1.1310823782719803,1.0809068285699246,1.3093282336417373,1.0658383383684067,1.1724910992598423,0.9378385241592926,1.072210619346455,1.0692714077703882,1.0535935618863874,1.8953758483135201,1.6869219594928928,1.916234036492299,1.8942524962115894,2.3792031036071437,1.4915351365615834,1.8197900057480532,1.7410378221330036,1.224764060290498,1.2419502713587134,1.2045617318574104,1.1760919868560555,1.1794882862626608,1.2262604019344547,1.2774552312600704,1.2547371618009973,1.3569501873928151,1.4194839134096962,1.287956873244722,1.3550483082249378,1.478019629995474,1.4438284050819201,1.334475505056561,1.4678146121113753,1.6264613575992675,1.4700277279798757,1.5028547754903412,1.695147313285605,1.6977017184436924,1.5461637181625945,1.7040922832704293,1.6308829594167362,1.9001924235854846,1.7135443701167243,1.620841255365977,1.770996698814656,1.811626874629843,2.19278537393535,1.8470010521535252,1.7305992224343387,1.8586688209278162,1.748754010994063,1.652678273407693,1.6146577009097363,1.6381887593806441,1.5142945746670877,1.5702531160335773,1.56370930650198,1.6059543671305585,1.432571635566558,1.479595270511821,1.6546040300906903,1.5920047991818438,1.5326957849954146,1.3883162354835643,1.3363841593257149,1.446295805056272,1.6077361761862103,1.7633335476442829,1.989178417791349,1.846417900087297,1.770322371422295,1.7671189901713658,1.8861004027551167,1.7967895347737128,1.6650675795537873,1.8808606627514142,1.9360740891512462,1.7261045807976194,1.8964559189182986,2.1179688978814384,2.068529784063963,1.8960982487925395,2.0138312667440372,1.8567585244304525,1.8260658445611981,1.7126978292768196,1.7073829258491882,1.7841082048742247,1.6500795548287268,1.5942327585180758,1.6827948290318013,1.6632107095863544,1.5294203983000072,1.5924614127002839,1.6777710694946213,1.5633350377116484,1.564817766156595,1.6380312111422721,1.959537110737086,1.7484301602354473,1.6653133913496037,1.8496327001009147,1.878467879936222,2.14126327931804,1.6742900087777002,1.5199605935479403,1.4185498583612663,1.5742822522090074,1.535714002664704,1.6544839968213256,1.503825051974468,1.4829360407985004,1.2143278600411789,1.2005994776219449,1.1282313792702823,1.2556586028899055,1.3230300129301966,1.465079012533194,1.5038595074054268,1.3264425142743836,1.4124836005786858,1.50343547417008,1.5525829265040902,1.2021349027203747,1.4603471386027258,1.6548155560695295,1.7827238135834564,2.7491411990842085,2.9224756199285244],[1.823721885211732,1.8219779595480146,1.8826828999379228,1.7501295013616394,1.8281407597321746,1.5491000984602155,1.4681815304626518,1.499397776035151,1.3173919262519866,1.279214927755963,1.1865602007119085,1.2942386501901293,1.2897848527278253,1.1949441974688995,1.1897529683174377,1.247128174393483,1.3210354814131966,1.2609256977420404,1.376445602944481,1.3311983257979862,1.3629092580253637,1.4696408085913453,1.4907846798117343,1.5884164876166948,1.4564664494454813,1.4613688478956723,1.4701329633742533,1.3598764170663538,1.3041392628251374,1.3210146878913012,1.1930798596089736,1.330595544587039,1.3223585552176327,1.2543889247707671,1.294684726593821,1.2918392581412266,1.3681693745619359,1.3678913966046464,1.433352972671503,1.5355575393989096,1.8245425261463946,1.5061898333091377,1.5588248671442733,1.9595743095292042,2.54199143990981,3.670090345742339,3.9716190992371874,2.719709357229393,3.8647822448544416,4.714508271942195,3.02779237956313,2.7222110966026336,2.0300535909280204,1.5573680076823593,1.581720738727069,1.4878964753263364,1.535909728015686,1.5996353037441662,1.8924067513036755,1.6044875196672421,1.4713011846086705,1.419277458560708,1.2465732791253787,1.2345710765167002,1.2898779791682937,1.320015368681609,1.2959301512865145,1.2612111061219229,1.4461538925937025,1.2142562564644335,1.4483019381732707,1.5293097495410073,1.3274252456532072,1.3239943877452676,1.115584761857415,1.2597957157133843,1.196580169521063,1.16945333155041,1.275790193635937,1.347741181499586,1.3943390402090687,1.442081949848195,1.6738798938487627,1.5568349261197294,1.7142823474612434,1.4430263684646991,1.3710624324772664,1.4168430208212084,1.3108687874740699,1.3089746742110842,1.2030945805412574,1.1704483642379466,1.1580969172686593,1.1843522320610473,1.171034287668974,1.1523471864581456,1.1551935490084193,1.286307380279918,1.3677807343684927,1.5535097990993016,1.4489610057910807,1.6432585987849702,1.4791714944437389,1.5894089437072247,1.6501860002472148,1.6957366984045281,1.9207436986355706,1.8049465109898517,1.827877920699809,1.8683880604098932,1.7316121615153515,1.6000328795092742,1.5061526543037427,1.5373604019004001,1.3662989694531082,1.486468656522793,1.397279049247478,1.516130287955414,1.415177913046565,1.3479416073381294,1.36526007603056,1.318060978706248,1.4961666762871872,1.4632091010287498,1.4706973001105532,1.7571167161999086,1.8676575169718317,1.6917217588548124,1.7595678304590658,1.7199715531550568,1.8214508855530664,1.8435826982345698,1.7881695764131118,1.781095815849779,1.808822216653496,1.7302498052865471,1.9689339159307315,1.7232759641956539,1.7073104975783298,1.6222417663591875,1.6797440207566428,1.6478822884815616,1.5171249106903113,1.5324353942134488,1.5381466058168043,1.4564464333470075,1.4775244856460916,1.3992248508249938,1.4643416324334693,1.4235217146317898,1.582573754036861,1.5069043377556468,1.7610254507665322,1.8683343669731047,1.6278305998933507,1.5382418061721228,1.445863019224951,1.5384000032665883,1.4486846557760416,1.548567417945068,1.5513413478544293,1.4716007114070113,1.5662744863911144,1.5419182848070805,1.6380087603153328,1.8631639145886738,1.760166914993114,1.8090604784027295,1.8648086458308526,1.788779410651897,1.7876539567158813,1.6803279501108015,1.6626009386390785,1.576216149205806,1.5403083476596617,1.5383807885128549,1.4816310444807972,1.591317636771001,1.5261087477050201,1.6617238042008469,1.4937857360272866,1.6060747664802493,1.6906705986916588,1.7063154328844856,2.4797066792439106,2.203548417310962,2.449559664123026,2.5378720949820446,2.9786783677583055,2.3088696453615585,2.6995930034776334,2.291914391392174,1.9516366969527448,1.9516877702443387,1.958461163472395,1.9768186840708768,1.9769729039648045,1.9240419619036329,1.950873921502057,1.8470024438485215,1.8827389776619026,1.8571565008190003,1.8107196598933963,1.9093109175673135,1.9030511183661099,1.8619998362956642,1.9217597113196145,1.9148314328242968,1.917825053852519,1.8743945929793944,1.9193427223121011,1.9593382092135652,1.9460732821737698,1.915854150926016,1.9698867065896148,2.00783800497794,2.086951886059964,2.053823711729353,1.9823403505733852,2.015522470413981,2.050643747233467,2.2807325358077,2.018979183158471,1.9402703619034352,2.06315631183963,2.017839816758462,2.030098650363366,2.0116245053043276,2.030881531921584,1.9455253971840774,1.9731580331244083,1.9957789006948021,2.031414577443194,1.9694171933978084,2.0576580646267093,2.2076936213911464,2.1770316517848842,2.1444256998673805,2.0028685554802754,1.891608377295476,1.9185828341624755,1.9886605394130388,2.061247758123132,2.1859652625864188,2.0399125340775264,2.064070960776528,2.0108226520947508,2.027748438378584,2.0204491917748264,1.948731309894845,2.031143502759784,2.062063390165528,1.9540333496198727,2.040682944392427,2.1724855555915816,2.1843742526614562,2.0345823876678035,2.10111770795278,2.02228163755703,2.0116715586232363,1.9596950527674788,1.9598411199685168,2.0006978827135113,1.9641094983598757,1.9283551030441386,1.9795113373776472,1.9855000425775784,1.9866839878849416,1.997074431660845,2.0189349204188587,2.06440389438974,2.1405991920544656,2.1370907252060807,2.3741925015169802,2.228914139830948,2.1731292344646156,2.3153682581221298,2.3719357383801207,2.374543344703677,2.1791407827380636,2.060020225530055,2.0209087196417146,2.2264811392082664,2.201269605290477,2.2677956331335114,2.1807060623383405,2.124340933033281,1.930326967278991,1.883060013624718,1.8147925425718663,1.8043658815002752,1.7726097829106544,1.8508281492813303,1.8227185336781422,1.7545525595433096,1.8072089596385656,1.7386955894787492,1.7526331162551976,1.6565814628257476,1.7901637794310197,2.117528120315094,2.160186384966935,2.7407251164989437,3.3488139469153926],[1.691296578656865,1.63425552412672,1.644255821562279,1.3393536059860023,1.5044103662966544,1.4788047496180812,1.436850878116869,1.5645752035544733,1.4103182492266841,1.3067779594641216,1.3008460738446457,1.4256746188729226,1.3476617788221512,1.2323652222536985,1.289800927093061,1.322986801017508,1.2113841048204628,1.2171581122068378,1.1706187744612917,1.2048115438967215,1.140321228437952,1.1366700801501737,1.3081174952994692,1.3869030843943984,1.4467600729807852,1.251744301077041,1.256545971963512,1.244893607947449,1.2838732996029276,1.3400258176874884,1.3057482159536982,1.4141263356080829,1.417488253321224,1.3922789194102159,1.3985447929251307,1.3137471782959758,1.3910288256850145,1.290252207272793,1.2788070342166258,1.442724695130542,1.3606675916923634,1.1808600303132866,1.191921759709692,1.4541007680661757,1.8131787323982094,3.0445634803571298,3.4115624253835133,2.248491729856764,3.47361432803428,4.426293171747598,2.760253244647088,2.3951578131110667,2.0277148663305673,1.7893616691781498,1.9057170122465539,1.474531023250319,1.2489594867933753,1.3917836235694916,1.589498373458534,1.366469370055976,1.2227313364545658,1.2617077169681914,1.3434676435656538,1.322808147434183,1.2154974569802084,1.2296757789803578,1.3357937817064263,1.2172505702883727,1.2594307512527894,1.310023587522306,1.3758408517851461,1.5113222217851434,1.5084198240897222,1.320442379965449,1.3396986980192704,1.4363622835261138,1.286957431849929,1.3574354042240022,1.3391563473550105,1.369726822766604,1.4461214864829424,1.409938004566983,1.8367971148459197,1.6125590321095002,1.4755836943980964,1.445880229997241,1.338162095388035,1.437219223992975,1.3168149236491744,1.3958641889107537,1.289067556945586,1.3964617246094082,1.3089232662406864,1.3448665748441895,1.3326697904233165,1.3457108588874827,1.3370611726645816,1.4073798861316744,1.4710718090291062,1.6973688995461818,1.5731337216840673,1.828924555917381,1.6196656018811946,1.7611675105271167,1.8090181946931758,1.7821528452607232,1.8969122121905795,1.7527583172601293,1.769028516127808,1.84316112081356,1.6947368864722345,1.559220305852122,1.4491275041714193,1.3480193702636332,1.270385310081069,1.2195284616037358,1.2976294777473798,1.1625580963631263,1.1850302114183904,1.1741297528718202,1.1482265952961275,1.176433185974519,1.1413450249732984,1.1705153321615822,1.2471603922075551,1.285887660036942,1.5447828154892942,1.4782683819419629,1.5501252590339927,1.5932771201125775,1.550585182105137,1.6457039732312098,1.5303906365125528,1.6440313564501055,1.4838154596535102,1.4301473333000663,1.5368980546323636,1.3407122541749545,1.254021817488527,1.2411899406562759,1.256570874141175,1.2856219097054082,1.2050724612549957,1.2104957256665079,1.295992729152135,1.2853153153000367,1.2843779347624502,1.3585194850690085,1.4567144211903114,1.4976049295708431,1.6588886033655457,1.6584429511218588,1.9122773153701007,2.1670193022673883,1.8252667061549805,1.7303807939519702,1.574641524201108,1.670756519228387,1.52707721794538,1.625151800620456,1.472169559693274,1.404076718753093,1.2937475198153685,1.3527715773129583,1.32954769072769,1.324131950594416,1.378822739671748,1.441068466829232,1.4575089010708209,1.4164468240919934,1.386846134382467,1.3328389237560612,1.4165823065029417,1.4750336542130558,1.5063864407446053,1.6220484099182442,1.5510840987110586,1.8008200808215116,1.5888743191341304,1.6684937537055577,1.5985701465466378,1.5814147185581773,1.5900329121697834,1.600516114495227,1.6731355137653947,1.5038244456175849,1.7516605827714946,1.8694203496577173,2.2164979067162904,1.7675587435185074,2.3358653429208776,2.627953304631608,1.525536182890771,1.4868119013725059,1.627938732386383,1.6692552329419839,1.5614322855701706,1.6296721077825387,1.6672784421308358,1.6696413009698883,1.8096985645790546,1.9304713520254568,1.782547888366467,1.7598081058556063,1.9462218847959674,1.9436713549853688,1.699599845220039,1.8788583463538018,2.1717499432180194,1.9420013624726429,1.9167906736826321,2.152597760324495,2.212816479948034,1.9510466657827332,2.0559644577336322,1.8685495451371745,2.308173911097583,1.7757067424290862,1.9022581182076197,2.110159469567085,2.120280090722677,2.2758456591744887,2.217181990801698,2.358806226883089,2.362155113888148,2.228498734272741,2.0162185946377824,2.000166459489799,1.9301018622568824,1.9662396940385796,2.048100254683538,1.9953977892056418,2.0806823048227394,1.9078839886340886,1.7849569917166488,1.993303387148381,1.7249366860498971,1.6208907501434326,1.7125567435129883,1.7901518185069716,1.9074000184875712,2.0703892902737486,2.2615063689052537,2.5063590294410187,2.3907709963045725,2.3010600989983274,2.3492908827653833,2.458142741824207,2.312370102510923,2.226861653884034,2.4960449982651345,2.552551242822507,2.339844313935164,2.5280801553640115,2.755942537771431,2.715648012450084,2.4921563800877307,2.59542478536009,2.40094265385749,2.400611237073218,2.312256052327746,2.2406117131282235,2.214735519021398,2.0967817603301904,2.0888078883699706,2.0404060106026454,1.9806949117315222,1.8615588452332843,1.9065067602538008,1.8605540847288435,1.7426643344159076,1.7379760627883358,1.800082747753782,1.8311553434031225,1.7354414292805074,1.6553642641316484,1.802590997640646,1.7689721602731305,1.9923432203668225,1.5968463478859631,1.677515940274792,1.6460583189324747,1.5604833283644914,1.5537510470528555,1.6082223781712048,1.5922983854213235,1.6476151835789672,1.6070929367172313,1.62433724357435,1.5900020462404063,1.6991636224030062,1.8390636602055332,1.9829570022637442,2.0840008252098894,1.7839348309688547,1.9359625039839998,2.180841983675504,2.025961454105387,1.8353083840332076,2.1021800199116223,2.1650449098566753,2.293910465124674,3.0961318792188224,3.5664247459699863],[1.8633402109938053,1.8798643722724222,1.81035883949476,1.7237516336079726,1.8509052112620503,1.7760482127132504,1.7827077427331395,1.8291187731742173,1.745999044534828,1.7085893414240603,1.6863266754991206,1.7403581008690243,1.735252360790323,1.6642901139838753,1.6860011052732402,1.7050853733160223,1.6485894872393663,1.659567183315218,1.6279658753877146,1.6616916160430393,1.592577097919527,1.520954051355365,1.849426407706133,1.8557691215531604,1.982686050175777,1.7530517467377191,1.7527980578214428,1.720114327111694,1.7112465082737385,1.7131800195965912,1.6910777591856905,1.7469255001494297,1.7270227907223996,1.7100470012702638,1.7370595561467295,1.6964934924149107,1.7350525820706133,1.697986820991659,1.6929490459712913,1.8538615850405682,1.7815372710750397,1.6285293741079556,1.6018656518661665,1.8727909851903428,2.2104736962843785,3.4631954516721852,3.8887384825590745,2.774227493978331,3.891123845936033,4.913451631062251,3.243420801702449,2.750066517765691,2.3992258300590827,2.152371244852827,2.190084500491879,1.8711833109582683,1.708296254664157,1.7981107286529041,1.9647731591671491,1.7684344349297547,1.6399081399028452,1.6855039915103434,1.7370885268289122,1.7028249959808819,1.6135358610454518,1.6764330632849054,1.7936206614050854,1.6471406065354637,1.7200142189820646,1.7071085578742367,1.844632364514723,1.9139164463682263,1.8685450452190864,1.7089586218586335,1.7325207959068,1.7146606301564924,1.6890657564142106,1.7296117056988127,1.724610306228598,1.7493586506495178,1.7827711336121521,1.7593908366631157,2.03305805260721,1.9332781317689443,1.8278516256230022,1.785483250312658,1.716515931257692,1.7604801715601577,1.7079232009631455,1.7407862921144877,1.6788251984068219,1.7545659935807976,1.6638008214385822,1.6873615964946318,1.694131256990211,1.687681685787418,1.7020283797856592,1.7259424269067825,1.7591987539413212,1.8792554980601797,1.8240479789899222,1.9697272574692808,1.8455664839554453,1.9423385806666797,1.9776159666260757,1.9509252725345008,2.031411158496247,1.8945105815731815,1.9081101810493082,1.9531795900689162,1.888622713840598,1.8461683512006937,1.7778775761845425,1.7372131283523133,1.6893422606880888,1.6950744087251952,1.7764150649898571,1.6764202126186984,1.6793231282579109,1.6400783193702566,1.6482571646779085,1.6499807555706563,1.6147621323598125,1.6400039870587033,1.6916376990804938,1.6916595133798993,1.8703064086326264,1.7743956659807107,1.7874070722180362,1.8192624986146944,1.777543265303577,1.8491943837561426,1.766849449071142,1.8589720180675013,1.7412350611042182,1.725059556795463,1.7715461424829115,1.6761278625920275,1.6829990448100869,1.6786474411314378,1.7275874378177598,1.7584610915191548,1.6899657029427857,1.68071439551941,1.7763101141161368,1.7054034114150634,1.7119319255813656,1.7260531595862996,1.7865996496514809,1.8161481283538337,1.8891908129447192,1.8653491945658491,1.9869203026063462,2.1701638638499396,1.9491625641046735,1.8853687531264283,1.8211544566450169,1.89211894703149,1.8201825837629817,1.8680471200632796,1.789062086241332,1.7853302989697566,1.6911631996219105,1.7451535166249932,1.6630106119954768,1.7436381689264633,1.6936992791437713,1.6770106850914577,1.689885397655699,1.6654748684092657,1.6821404579919297,1.68064078911199,1.7526063254709223,1.8074169207758288,1.828618424690806,1.8934539057998003,1.8538694285008217,2.007232398700765,1.8910116218954907,1.9391997904633518,1.9163800607371895,1.8373285675275763,1.8328802193531155,1.846223010663149,1.672933104390645,1.471266549478075,1.642153232765156,2.018372889883854,2.3714438454172906,2.1211257173951186,2.746608905963358,2.8954017458692047,1.725991595205535,1.6716135805531676,1.8478453396452583,1.8598797862835077,1.7716780879350946,1.8025382782711619,1.8201092696840124,1.8258313116040383,1.89012145027176,1.9944542357994508,1.907310565628137,1.8662109040070003,1.9824723616202833,2.007462268519341,1.8409743613339073,1.9345166893658226,2.1546457117995015,2.016769720825945,1.9815841893977755,2.1422930707259304,2.2122253798430687,2.0257231085317113,2.0727852047637394,1.9150229866972048,2.2820945051235837,1.7927930804349113,1.912391007561741,2.070565640032863,2.064683319355901,2.2104207151533237,2.153382417812718,2.3048126271697127,2.2675128699841336,2.1434874273931985,1.9976411551340563,1.9556514458964325,1.9029571812291508,1.9660664787745268,2.0588164019416513,1.9992225672889783,2.0921422511287147,1.958063654515948,1.8374040389771995,2.0770728385088866,1.8148121884920936,1.7524178675931874,1.8268495026337328,1.9050503945212165,1.9485081591867301,2.0666489204664495,2.2229599992857194,2.4223514263075137,2.3143891850793596,2.2720673371092284,2.2769129589812014,2.3553251984022743,2.2604420893986723,2.1937935199760923,2.393408452606187,2.4421238552831057,2.291493620145209,2.4193638259091688,2.597289840537487,2.611289913567531,2.392301444560776,2.439699681204773,2.306798163540356,2.2943448649860434,2.240024505367979,2.1603326877971587,2.1284585250330195,2.0702532554012545,2.047540878280879,1.9896882169938372,1.9484700962042651,1.8912558538299435,1.895635922888831,1.8269214466513166,1.783986325930109,1.8109510623491871,1.845024512493572,1.8786779271968317,1.7963398072866283,1.7368551816773574,1.8565745990320144,1.8511645858152201,2.0047649263328653,1.677786578577969,1.7715128910700841,1.8114818294575121,1.7174136980271166,1.7125979505678044,1.7231354687913056,1.7437328730757786,1.784751414054041,1.8192372896238977,1.8135744387611417,1.8341668233739514,1.8655611349659031,1.9409588773767108,2.0095979924400145,2.0870723695273803,1.897469456722913,2.004483562250073,2.2236257364935312,2.1067301962740443,2.027927657737424,2.1775703312503776,2.1298016832102844,2.2251750869163147,2.981685305208039,3.5066107902989136],[0.9989909226844749,0.9614542681658745,1.0994859783464606,0.7822026938961277,0.8611874078816835,0.9911952820255471,0.9584488098252192,1.1000320481674881,1.130558891190255,1.065333913756176,1.1413075856215618,1.2078803302450842,1.076592033545503,1.098088657311683,1.1997674027888856,1.121550335531378,1.057845555662011,1.0833849602965058,1.0852376757119486,1.0300714571489984,1.0743380450745441,1.144564510484175,0.9873915544119435,1.0776744501390088,0.913276589671473,0.9650005979035318,0.9008897850081428,0.9369410914356939,1.010970312705219,1.079458446280939,1.1803113567176533,1.1690178456263456,1.2218092967742487,1.2331659540032867,1.1299042959257164,1.0806231784447418,1.0496409626953032,0.9869622694293811,0.9056415879454968,0.9076095903348215,1.0762601307401518,1.0062660003220953,1.054264143596499,1.3813932355778933,1.7896668298940903,2.720390127207237,3.0644812532813264,1.9632473382837483,3.0151573111484864,3.957944058641151,2.234672353448244,2.0839078563629125,1.523989268795383,1.2029828406489256,1.2995306516910414,0.9993752510433405,1.0173156101755219,1.0685652447484775,1.3014744623182015,1.1561780286452323,1.1144731328838273,1.154342609606823,1.1643123230319932,1.197288439251885,1.1248151119082874,1.0820957030839145,1.1704341643500717,1.1362074091033862,1.2686480832767493,1.296186799897708,1.368117046905822,1.569517661970799,1.5041534919175024,1.3619265474830538,1.2537172092379116,1.3969368216329412,1.139737149220503,1.1806214338984995,1.0976442078446154,1.0159039492189024,1.009835321206668,0.9775079068273691,1.3460774582836146,0.9893924366648457,0.9775383742636646,0.9509497030195606,0.9905339423937437,1.0779231140853527,1.0359659836687962,1.185491726702577,1.166707875395883,1.3093251269326756,1.2824060019845607,1.2825186464680085,1.2535873920660174,1.340087755823785,1.3210936913875946,1.2470105736130306,1.22646042167015,1.3841396683294347,1.1979890079627211,1.316878557941766,1.1523521943830666,1.2188224957841989,1.1995612446608672,1.1455019718469104,1.29547402206758,1.0896854621788956,1.106417982522652,1.2484078568803452,1.0782779740427246,0.9410507565812,0.9316032158219565,0.8632578245306183,0.9418027207938021,0.874146324232101,0.9377435049053047,0.8735822629208548,1.0293691396891071,1.0734560888777527,1.0376115335385525,1.0435781901193522,0.9695237775035,0.9136691115758402,0.9065855911084238,0.8707056199478808,0.9951659204133508,0.8880058702286723,0.9269915049446826,0.9646751874765165,0.937784166511929,0.9916665712920915,0.9273356535023681,0.9802921074312931,0.9274703751886427,0.8925083490654734,1.008274122066319,0.8077489470463228,0.7287886632618836,0.758731106073117,0.8497410666913331,0.8765460609867919,0.8293021635787231,0.8052706989077529,0.8401945503534225,0.9022514495819043,0.8788570988930718,0.9421544183677518,0.9339324798097561,1.04348510569838,1.1238765757780147,1.2159741780152946,1.4244210407006361,1.7727359116952734,1.4762868743736655,1.342240253867759,1.1833940376343015,1.1575846774918501,1.055309401650741,1.045003107977214,0.8961550772348541,0.8950197642382347,0.8142780952389743,0.8150389437006059,0.8454291298457901,0.917237386423352,0.8511943615428273,1.0783869144654017,1.1451957157570658,1.0311501053486922,0.8709286537248214,0.7955580765460055,0.835066607240063,0.8626158087586476,0.883468537779187,1.0045868220118772,1.006265614702615,1.1837083118566119,0.9607339187943613,1.0425833948933518,0.9294779098868649,0.9591550281485018,0.9504892495672592,0.986844659374783,2.020531032934323,1.6166026673165501,1.8981003278188993,1.8199057933898755,2.2085225094694003,1.2876177193829237,1.6265144605855928,1.741314615916199,1.2004276201978485,1.137565656230126,1.176885164618022,1.1337707779490838,1.025143759055444,1.0502864959827578,1.1040939930244784,1.0734288154673577,1.2166901684763312,1.276871753162355,1.1562631110716326,1.1975565208793202,1.3622803973541249,1.334612321821708,1.1599582438189855,1.3811397127378553,1.5989316103476188,1.3984813819533284,1.4347437617445724,1.713824466219876,1.7394025248646137,1.50716897548096,1.7240278597947254,1.545370545143436,2.0111555364263807,1.6012497969509591,1.542039252987878,1.7450017279050485,1.7735703671316927,2.0959505667840723,1.8791793650311122,1.8492221498499353,1.8223316733841124,1.644743041103192,1.45323805567844,1.4004370856817185,1.4939836832862643,1.4226464781692099,1.4409216508547573,1.5347753675719498,1.6632952832243104,1.3973966927404158,1.3013220305439188,1.6985229831510453,1.41973724651366,1.299536473854468,1.2386865541738943,1.1705603221955414,1.2998148688244802,1.4163791088036624,1.5498775360973949,1.9055233122930837,1.6657607514771582,1.5539681583991882,1.6598783869921983,1.7540520294081945,1.6573729267147082,1.5718178690090556,1.8523315201615735,1.9314690307243354,1.7226775832647307,1.9378130639581868,2.175020674713783,2.1880601929105365,1.9766026790217053,2.0928038091655004,1.8971167239287186,1.8499045539081613,1.7041066962895448,1.684874343670237,1.7350340561495547,1.5806778197345672,1.547257311320291,1.6052156893128509,1.5779700395584046,1.4077464091967684,1.5165066743709155,1.6085568138415587,1.4399491515813405,1.4437759857458503,1.5214970563131702,1.8438778070999517,1.6250103694070765,1.5326241112788854,1.7668402657414908,1.7768212879025453,1.9018971011960117,1.458142889121081,1.3625994248018045,1.1986878852952503,1.2935983623694831,1.2935225734886684,1.461253010212654,1.31673324674,1.2615255969866572,1.038788625948749,1.0275978801373062,0.953309089030686,1.1036410017670137,1.1984110978085942,1.3453243361120009,1.6834742813367876,1.2066028745978217,1.3301446675878497,1.4585840167014663,1.3804389545772302,1.1969658863464274,1.4065474019465138,1.716842015309061,1.764088214843516,2.552859425129655,3.104855468173043],[0.8910696621843888,0.9434594747481778,1.1651782124850045,0.7814163526583581,0.9023591269083729,0.9085756022811686,0.8330740900605348,0.9329080747970352,0.8615612744799112,0.7467378048135116,0.75371958481899,0.880845797248679,0.7696196627161778,0.6834866130696596,0.7379122704045022,0.7673224379931979,0.7661418169614084,0.6844750955502584,0.649945821798415,0.6871279033359531,0.6692143570215281,0.7974003664886226,0.7432504499737401,0.8589454829832491,0.7997704801417144,0.6709347296316103,0.6296523497277509,0.6427268708741223,0.7036898573724842,0.7701560055902964,0.7741549837790657,0.8469951541835107,0.8792554067453505,0.8436552453861142,0.8254790550704804,0.7394498093901589,0.8227894521313015,0.7351420639178331,0.7126825696022042,0.7922551037598399,0.8922044304510278,0.7125356060847698,0.8127441706899072,1.2423144503058643,1.7099596899241565,2.7684126549400574,3.243618606956829,2.0951384110341627,3.1041790478105207,4.15135253584105,2.3775722600939293,2.1549278941598633,1.435562196201606,1.0793658787536047,1.2778449996862469,0.8853553703672619,0.8379788192044616,0.9216225421712645,1.1914724769220195,1.0126658305453142,0.796086876164422,0.7852816456576512,0.7976611971818498,0.8051728423369628,0.7342919997922511,0.7154288624092426,0.8297773795588589,0.7020288781111923,0.8385296486103507,0.8854100276284376,1.032646251492444,1.2167200942110306,1.1081492137773987,0.875274296168841,0.8274393246365249,0.9588802787054447,0.7429680797777162,0.7890822667860061,0.7741801595042419,0.757681802954039,0.7851855830854073,0.8567815182937976,1.1208299857370845,0.9543950894395411,0.9867154460025922,0.8289450936754221,0.7469428394206544,0.8573156392806195,0.7226420890722878,0.8244344377582509,0.7463651989227762,0.9121975904316185,0.806154891649065,0.8221694124980659,0.8026722809530419,0.8537341741455499,0.8320437755701899,0.8734007048877069,0.9048442935200017,1.1249731721234368,0.9438902117631304,1.1222373105211834,0.9762025450311839,1.1014790007167798,1.14856496963091,1.108433655000743,1.2782199451602,1.1039829275783941,1.1082985151617093,1.2211792735220324,1.069119697627696,0.9023140641129965,0.8370035981044255,0.7871034666753264,0.7381415135884388,0.6283435592520227,0.6277107481843784,0.5844157524693571,0.6983215975732878,0.6780487880137652,0.6000907797971559,0.6477427478352441,0.625582463043918,0.6306475136813885,0.6970977655036692,0.8061281141311313,0.9477013470284745,0.9197404794126467,1.017093504980668,1.0302717312677743,1.0449710317218852,1.0984937452215224,1.054460789652787,1.0323184097030675,1.0281362959008036,0.9850842134796385,1.096170923891312,0.8589446639190951,0.6996901012217811,0.7025949533425534,0.7143729423066343,0.7606250718955043,0.6434325496951553,0.6699760897792058,0.7156529378547506,0.7028683903114757,0.7170494310632286,0.7887922191457425,0.8267507156675097,0.8745913428522992,1.0073433416721338,0.9878997632724034,1.2200399040894903,1.5576175729588455,1.2503100539487406,1.0779533482209898,0.9465757901432454,0.9940074217517485,0.8795777107185084,0.9480586186173383,0.8690601750361149,0.7865464394583568,0.7688500745984262,0.7807842631357359,0.9189425431869606,0.964201884911929,0.9414834058250113,1.1573589536442586,1.2313312288359195,1.1115606603817958,0.961229552844603,0.8557660414263664,0.9169389341611044,0.9137188773418866,0.880645639528914,0.9354757981408842,0.912400898831508,1.0625078397948393,0.890051528357269,1.0038301034177985,0.960483230779571,0.986245165484201,1.0213970480029828,1.0770070639395763,2.272780598672354,1.8024333835159603,2.039378045694108,1.9554848222635994,2.2516993745967535,1.3309000147490735,1.5298362479135685,1.5970900607843588,1.4520422641317228,1.3734972419498244,1.296157116516208,1.240302784221245,1.1817971614798775,1.1598532958349295,1.1749463360078323,1.1343803051884804,1.192415700785998,1.2242694629912667,1.1584238447526027,1.192433194854386,1.2728099842523726,1.269432594191045,1.1765384076593035,1.2835152879621734,1.4450093690327688,1.3366506928185606,1.3276256822132007,1.51360686460778,1.586652703028833,1.504720137850087,1.5229542512955558,1.340551946317543,1.716841416276332,1.3455702458406478,1.332084840556963,1.4513664978363878,1.46166509302616,1.7593828700166774,1.4920997182786433,1.519095149277074,1.5276443994261937,1.4088259370630836,1.3928557447492895,1.2724812399408891,1.3967713802991213,1.2894437316948708,1.3320732320392155,1.435813092453654,1.5312635611661631,1.3388494550714387,1.3336987176018906,1.6522168285477044,1.401617950426407,1.4041854195758559,1.2520549837837973,1.188331321570061,1.2703926442617928,1.3396978177047154,1.4338904679316016,1.678464794544354,1.4677637305872373,1.4384904941060717,1.4627728440219812,1.539973608233514,1.5116001498875673,1.431960034336,1.6378576460790568,1.7206808014960486,1.5530826425041304,1.6816281558315491,1.877226168207058,1.984060923825629,1.7267208751252427,1.767883381469146,1.6208872454536207,1.5708366575954418,1.4814118456177297,1.4487508750879465,1.4723429699529988,1.39038188610347,1.3594397608385642,1.363519932173435,1.3504883376095445,1.2761218216383678,1.308460978451812,1.3655173163948007,1.2919620267062168,1.365229886747396,1.3835060472074634,1.7269902403084558,1.5048752734084305,1.4617948967929708,1.5964905405611436,1.6507956574472233,1.7501662814803898,1.383671456921976,1.2776242808531624,1.20131663645047,1.355221390344909,1.3775275216427751,1.5204929660418258,1.4132463919398714,1.313036705762989,1.1528215295882025,1.1172651546101078,1.0511168212848876,1.1630656924711449,1.1904754896238998,1.2739686287986973,1.44706790298683,1.1905797711966017,1.2718984183915099,1.3283024501802838,1.3184800988033976,1.185724199472219,1.2967386334720414,1.631040431417098,1.5847031945132188,2.30261735493156,3.05296141430816],[0.8645888402305472,0.9543137661988387,1.1579735427094309,0.8792846236151995,0.9716638456097015,0.9584205122609776,0.9057710988590219,0.97208657157363,0.913059717451325,0.8356639802130049,0.8205125398390185,0.9337724039530685,0.8594446596981233,0.7840830441769712,0.8164250033601033,0.8544313946571169,0.8922650447593647,0.7969708883927272,0.7864774229108622,0.7858875076699839,0.7869061563066007,1.0003635052195066,0.7670621500049348,0.8691883282784574,0.7340956876376814,0.710379327251619,0.7017664274432449,0.7338495293000821,0.8057339019141581,0.8850223941103562,0.8562773097406249,0.9279322280668502,0.9421615384020646,0.9188169340379312,0.905713310690179,0.8591486497896815,0.929675939895451,0.8633459855865728,0.8489104671028747,0.9079983612978699,1.0787319371129895,0.8900658955532463,1.043859611980934,1.4164053499000713,1.9376015532820783,2.9025674196328444,3.38353998233086,2.225299979365627,3.1354472833990847,4.165760799002078,2.4415287099696847,2.2738866230322703,1.484336200866314,1.0007835841009056,1.2940044727661488,0.9544569447907886,0.9743462302450928,1.1249910568760109,1.3816849422978508,1.138668834736781,0.9843475037869513,0.9217639718001812,0.8501790607801945,0.8832701694391107,0.8613226480018066,0.8198803661600363,0.8376664120312766,0.7843668885865528,0.8853915076790908,0.9004222619599888,1.0319837742205178,1.2047234629634085,1.067435699886342,0.9421644233356813,0.8152460142157092,0.9597733787891142,0.8044390949632809,0.8161003513715563,0.8595347171911321,0.8882820865676245,0.9323029154982068,0.992950869149377,1.1615364225867295,1.0806980245841828,1.2043087203971354,0.9511331900557886,0.8622060612075814,0.9874851728575983,0.8385488388169277,0.915699000621066,0.8219202810592302,0.9624959358768183,0.8655401051941003,0.8726382943300716,0.858997481511596,0.8850689619387749,0.8869015908238812,0.9208315329149834,0.9670993311270589,1.12143495808479,0.9834374998205815,1.1468631194103602,1.0103222279042756,1.108855943723398,1.1154087232238756,1.1326761757414585,1.2802784665739506,1.172654916233756,1.1615814723367277,1.2475088143177557,1.11135111729709,0.9705240124974985,0.9284765622852755,0.9099230332552316,0.8586549674364089,0.7608070044080771,0.6976352649036727,0.6609148531878728,0.7307530405834374,0.7948643951548316,0.7139059138277356,0.769301773263138,0.7650647070893678,0.7612502136766187,0.8161017086084137,0.9898328699423348,1.1305768188220853,1.0245100107965244,1.1186196274503513,1.1107761919791914,1.132295006911192,1.1384667963603157,1.1305367889183457,1.1117082498969972,1.1548678576293614,1.1390677270166878,1.241221853108355,0.9900585948359085,0.7985050002593639,0.8124377203025114,0.7389505581387921,0.805237201103646,0.720782133572545,0.7874470878794263,0.7931796519831463,0.837328129052908,0.846558617497958,0.8948432844098912,0.9171620036323145,0.932528263571552,1.0380904808302431,1.0041004300681924,1.2204494813992235,1.50771050347162,1.2443035243759817,1.0634546395210664,0.9894961890954134,1.017377222115297,0.9580069194771316,0.9857664647453844,0.9708819383985573,0.8975637381675897,0.9158858588677554,0.9197835502919889,1.0491012360475542,1.087639652031612,1.0784568140500006,1.2787640180334638,1.3696544754030318,1.2297886745315039,1.1026340324243376,0.99109735554916,1.0316656387196403,0.990479324756069,0.9652354376423278,0.9803509359415952,1.0059887769193443,1.071702495286926,0.9597579971011069,1.0677841481231818,0.9903340915378113,1.029286779929246,1.0772315649577617,1.1443179232965617,2.5237021979604557,1.9966492669476774,2.252282686098168,2.190515366792462,2.4049823130408736,1.4473288329048832,1.5229581927642424,1.4138350298748301,1.6208459591391153,1.5198216875822497,1.3643858436454572,1.2757675966332769,1.2438562463522072,1.1985439119379446,1.1824984377800827,1.1638342715692012,1.1430311583420294,1.1650162751292081,1.1468547840389862,1.1470802246641565,1.1787420289300639,1.1994547430397382,1.1511658739974024,1.1846926291614635,1.3108836409661464,1.2669751277257004,1.2341898108539775,1.3738677000625155,1.4602207217589747,1.4337242452264054,1.3915012971169776,1.2074588069834125,1.5408798337109355,1.1872776454361955,1.1880786036097295,1.2943471230520014,1.2956125082477465,1.5824756005423,1.3473025083841799,1.3572006670548284,1.361030059179106,1.276985464096473,1.3202179778950507,1.217330420336895,1.3881374155565265,1.1893751586659345,1.2241666609001542,1.3037540541359032,1.3495822109536706,1.2181954225387168,1.3154562486095411,1.5750178965464963,1.3785294896931441,1.4852465204405298,1.2291913321165875,1.1859750970983698,1.1858421276455413,1.2259469599190977,1.3279457956325238,1.482184381105139,1.3588622717249423,1.3569770524473033,1.3086178879911954,1.3846989455112664,1.4009524473592248,1.3122762282453955,1.4576067909130923,1.5430107962366593,1.4062279635101662,1.4889214811505083,1.6421709184381488,1.7790928439259637,1.5232210193999811,1.5390714038045452,1.4320468021944652,1.3844049402182332,1.308444140495186,1.2768702412091586,1.306143780485245,1.246695776877923,1.2119535807319644,1.2071929544592193,1.2017582699842722,1.1728709017738876,1.175582896254074,1.2232773507830692,1.185206867902632,1.318456971445363,1.2831694840587566,1.6232523726417665,1.4188447852099735,1.3663801086719105,1.456917104074711,1.5253317918531648,1.5959141606047493,1.256010557195753,1.1714763270129185,1.1666300824006566,1.2979222756190014,1.353128514042849,1.476586167565967,1.3935940506987992,1.3129499031536531,1.1582924683089966,1.153895478831001,1.1117626412494035,1.1823632267954145,1.172719667245303,1.2218598579961681,1.355203525245608,1.204066317424074,1.1987523336867574,1.189609375867167,1.2783643895066077,1.0850872239890375,1.1958429474820484,1.4422574425627224,1.4621900683138018,2.0866790589346924,2.67571973576651],[0.842436873394689,0.912993401100585,1.1232799306830135,0.671772657427741,0.8182195839197919,0.7617802015415444,0.6382495554536803,0.7301969596299824,0.6216952109141404,0.4893552508606441,0.4851754886159806,0.6436833477593951,0.5201766632239017,0.43678376437379157,0.48875493607224746,0.49268834097747594,0.5410991574580862,0.458451296155881,0.49637725779722724,0.48400900632257304,0.49951692095981753,0.6703851233171881,0.7304510229496751,0.817959208229747,0.7295181468791824,0.5510695531055494,0.43823483304474087,0.43503214712584154,0.47517867575166134,0.5385886455094536,0.528030147868876,0.5865648321583621,0.6150616146271185,0.5870498965507569,0.5570303175603369,0.5024174233536862,0.6026239160233805,0.5370697620100217,0.5104514315540734,0.6450055260471008,0.8164337132305315,0.593993868158542,0.7402540826578717,1.2408562064457032,1.7843817731434986,2.8235478494416175,3.402026549001652,2.2385763541975563,3.0778471871958155,4.143957136003636,2.4301370741437394,2.1939009099400937,1.4487847721602445,0.9400203997903918,1.181605412021768,0.7979872787610467,0.7607449926790398,0.8706887610053199,1.1171000682408219,0.941578455448462,0.676847657160447,0.6253260238123933,0.5719310544460294,0.6505609987927097,0.5957262182087978,0.5267455547524266,0.7239857515326241,0.5162761893714607,0.7635738758146039,0.83188457515109,1.0454115851586767,1.259691977138952,1.070427421890408,0.8387260754253633,0.6752429077900958,0.8056842468831759,0.5196810270343907,0.5030657711285739,0.5157194610049838,0.5347817644229201,0.6133889372792808,0.7049582384935497,0.9710346348479196,0.8585038869623799,0.9536402935543824,0.6589766159497519,0.5422072002875585,0.6854228307957395,0.48791815841265257,0.5625177896579915,0.5019802586658122,0.726180820347901,0.5669570696863925,0.5567216442291668,0.5415557855485904,0.6340672626026124,0.6096653126214991,0.6116388587203863,0.6581246409432335,0.870626417689063,0.7004206544832156,0.9591340389956882,0.7698272395868013,0.9373258755307912,0.9544489879143435,1.0003810553321815,1.214858171409906,1.136142681303224,1.1282965603061985,1.1688978668517358,1.000279233360386,0.7808947056765736,0.6630550463062926,0.6085968178176832,0.49639411618701557,0.42127307037003486,0.4541801194781852,0.4615533524587762,0.59791699753288,0.5116687535149008,0.46791710704556777,0.47455462300944695,0.48854457035816523,0.4098041670024555,0.46817441951254096,0.6860318090985092,0.953093402044814,0.8438782145102265,1.003370420963607,0.9975786446962734,1.0911176892292211,1.1385521366281333,1.0757401760725305,1.0289911571688568,1.0329993509147073,0.9476014563636419,1.1023902987062244,0.7562181712796754,0.5312606149143714,0.5266805651701929,0.5884775438227225,0.682477723273135,0.493602627516613,0.4857830892457824,0.5534221455656586,0.4891853971738271,0.5009352784383553,0.5608315059520427,0.6362071306395752,0.6651992911160559,0.8423302763064018,0.7894700824151594,1.0909360042865317,1.4087445251910093,1.0899613234641687,0.8571957831910222,0.712077162706198,0.803304007086766,0.6704209819858278,0.7696629391391034,0.7305094493342024,0.5871213828452282,0.6145493939349316,0.635793479732554,0.7993865829905793,0.8936767801842049,0.9245348861925312,1.1648881908543316,1.28350139463736,1.0776778410592978,0.9408249173426122,0.7536709428124166,0.7978975214624641,0.7673590590487095,0.7065799815535821,0.7530575622995231,0.7246106241616416,0.8530244168913391,0.7134428605944552,0.8641355104036865,0.8165501153136856,0.8590786597813311,0.9644157032644586,1.0527924174509569,2.454121745849534,1.836256767801525,2.0555914044997725,2.036882898435574,2.2420329357257858,1.3633086445772402,1.4509686138924092,1.3371723759050236,1.629202405959214,1.5083839156497238,1.4041296550480853,1.3387969237903217,1.25283643075187,1.2732859193320587,1.2822443192633088,1.2220410192432745,1.2828848014359342,1.2672726951674465,1.1991948914083672,1.289168747955032,1.365148441899929,1.330496978007607,1.2817112164364401,1.4092176130032443,1.511057119143077,1.4378523876095015,1.4775769873413434,1.6443471457660885,1.6631809325852194,1.6837046246695164,1.7141791357893437,1.5182474208880568,1.828423372159023,1.5115902976035769,1.4953031753994408,1.6104186724654344,1.5963109562418794,1.8881477834961964,1.6231731447210107,1.629157701889096,1.610366066974725,1.5477415708238245,1.5382882577558181,1.480561598135018,1.684566228127458,1.4205536475624756,1.407462512916368,1.5130206662330001,1.5078104929213818,1.389920099218038,1.5123778928811786,1.762214084310333,1.591197348129633,1.6362841524033918,1.3813507662179092,1.2820650009753531,1.3157641056050708,1.3693652792392588,1.452342355098685,1.6011099975221823,1.4561421572000608,1.4465233502960613,1.4647973764067372,1.485344066315766,1.4635670143688722,1.448426496492313,1.5840674165249957,1.6276194437995695,1.536876395415034,1.6718487453575182,1.7889578170407094,1.9177481599465642,1.7319913413304218,1.7564053415108023,1.6892679627814071,1.6304056302987298,1.5191888676056635,1.5343390723057448,1.602988715206505,1.5054366076455892,1.4640325639561664,1.505263649576288,1.5015492636025616,1.4305360776851552,1.4585045559998457,1.5121391247804652,1.4850119465947227,1.5978145549262812,1.6132556364753052,1.9175177606804994,1.6866347794687433,1.6013168982750206,1.7146186298392485,1.7232972229951053,1.870786931730147,1.4801605337445216,1.396215588340805,1.3197122506744259,1.3791438475281725,1.4421941331259178,1.6051907274411552,1.4896580095434853,1.468962961967604,1.1730763843678242,1.185875838926574,1.0341865965873807,1.1744799076661676,1.1717832687102137,1.2822705349752999,1.3136121318586542,1.1475542250286845,1.2297731440745145,1.1790723272988546,1.1641467376188923,1.016904574658672,1.199061232268886,1.4153584729194828,1.4359707225079317,2.0373099315660754,2.7957754092275797],[0.8793009125654132,0.9901064259805563,1.2099480797232882,0.7356403147666514,0.9100690934447045,0.8236807697366075,0.6844112767876654,0.7669185091084235,0.6289369732265285,0.49644672498928805,0.48440424134530546,0.6351540624790267,0.5227174706110568,0.41828831452179394,0.4569489429756371,0.48959260133932186,0.5231501719301016,0.46687715307746097,0.5141821422071443,0.5116497946332685,0.5479977553955157,0.7505897370457931,0.7727320380271131,0.8904084974051162,0.7703870335386814,0.6050921004153467,0.4936575003666805,0.47646582171638374,0.5119604316699482,0.5537753921970056,0.49712796031457707,0.5848377112667059,0.6085338094467986,0.5590544223193704,0.5674260258163042,0.5242903804704613,0.6421539286581962,0.5946817263126482,0.592645276932971,0.7451727941851713,0.8963914486955193,0.7066575771873527,0.8579032961703783,1.340447951492475,1.8897104114143524,2.8690047625813118,3.51333164868848,2.3724238892660163,3.0661167791529826,4.1723917111852185,2.5227817580025125,2.2673368429465492,1.55095602983767,1.0082080317789843,1.2796449934206877,0.9161180106481946,0.8840962505500772,0.9629690308736001,1.1490677182475497,1.0470421361438937,0.78445892215291,0.7091738796899946,0.5857450941877572,0.6662852409626813,0.6755592622192536,0.5874378670057324,0.6978642033889187,0.49491959044759837,0.7413433113757446,0.829989865452582,1.0436645957685815,1.2750056417813198,1.029099341528608,0.8130556020023986,0.6450382029500483,0.798660962232457,0.5221919706414957,0.5129238980397892,0.5505706634153228,0.6037071288226351,0.6966551270858553,0.7926534754630992,1.0080432518503717,0.9954716362866328,1.059791105082808,0.7323304256194597,0.6228318238008913,0.7652802846159582,0.5314062056553917,0.5815643461134409,0.4934493847646353,0.7333884257498916,0.5486116264026649,0.5065402816937136,0.4999300552859091,0.5882376005863548,0.5975856042420745,0.5992042857680087,0.6554701186113214,0.8704101334325764,0.7232742062554981,1.0101875049451836,0.8270085154752816,1.0104728207385796,1.0290037808978092,1.0912619928772087,1.2972633210446036,1.2899041008932954,1.2761184035082005,1.2813071365304012,1.1073438641846305,0.8738811307473348,0.7374617891288527,0.6892089708159099,0.5182691533344419,0.47320958141912156,0.4862715167166164,0.5159212977314853,0.6193662195529773,0.496699186522266,0.4916215504260937,0.4921824150822452,0.5158075969414564,0.43911544202820313,0.49037416978946824,0.7468967800819185,1.0237116961987924,0.952018139943697,1.122890935315606,1.1194539735834454,1.2374411739876088,1.2999221051636576,1.2076906987910336,1.1602835420816866,1.1451628700033203,1.029313091408688,1.1763239359112647,0.8329284188473663,0.5941458290547177,0.5895712620811876,0.6275199969233802,0.7419780235413685,0.5504043622683903,0.5425991216350686,0.6232200868454194,0.5641677818403783,0.5714160877292696,0.6253589175993688,0.7094925400385941,0.7277390780472356,0.9136672314746151,0.8299668399981172,1.126911284140374,1.4105565102649074,1.1108725726350048,0.8822906171529752,0.7435134657993279,0.8700731014674783,0.7177163535900256,0.8513020522030932,0.8098642310924541,0.6517520032833934,0.6861071191900847,0.7280650336569466,0.876951709202295,0.9774250595364627,1.0254852208538254,1.2633735780820279,1.3706319705631331,1.1527885180100277,1.03279311749385,0.8323216241415095,0.8709590944379865,0.8437396320978846,0.7909772674806521,0.8339055540505126,0.7759591300468626,0.89935878397325,0.8045834107343017,0.938228631125918,0.918242807460442,0.9612758085427547,1.107103218787398,1.216348530175879,2.573391251872583,1.880101958994837,2.082686630405271,2.109340344094318,2.2693448003398853,1.4624881583148048,1.4841695939028177,1.356926008130723,1.82309945048183,1.6688647458376684,1.568867765835049,1.5148627010825995,1.3946123371351677,1.4475779679174823,1.4541820413891748,1.3820960579271366,1.4620823610803189,1.4249860656839592,1.3523822621371666,1.4644683581149487,1.5408388340535912,1.4838790546138785,1.4489388000514765,1.5906108558682766,1.6471935087299652,1.5853156613373605,1.661195655028645,1.8044262383577152,1.785098863778948,1.849928507066573,1.9054384300506553,1.7388902132062178,1.9602498432499174,1.7088904804686467,1.7027019775508414,1.7853356014940394,1.7609793826065003,2.0456508570195244,1.8124655924337891,1.8136064419984945,1.790559551349678,1.7189573435117886,1.6903685263245112,1.6789514348347794,1.8685796871159674,1.613368677879355,1.6094482801399421,1.707294205130627,1.7086969816780866,1.583936228409146,1.6856895462664103,1.936785515271819,1.7484178903459144,1.7983445932747966,1.5498237463741955,1.4544144341841705,1.4861540257081542,1.5260758825648115,1.5903357504274604,1.6864708724505184,1.5729348812262083,1.5579358851046219,1.6003258361215567,1.5908475642464528,1.555800021351369,1.5697848401632308,1.6713572936524197,1.6944416993626585,1.6374357548481666,1.7783421100149932,1.8589160523413653,1.97971819739248,1.8368131632892957,1.8598220075368745,1.8200068772953464,1.7621677857805982,1.6639338741452587,1.7073375743395331,1.7564093862717074,1.6800380389310112,1.6549583804841934,1.6962921384110348,1.6950436495374908,1.6261768355177562,1.6507945024349806,1.6958376252831162,1.670347193840097,1.7736259976674367,1.8151737473960838,2.0578084023957115,1.8605338303527885,1.7755040112178124,1.8674370998483192,1.8425421558676296,1.9951502356960387,1.6376407690983639,1.5793587580684991,1.4929809705804267,1.4939411472566846,1.5581711751573581,1.7134945340428662,1.614554466822152,1.6154772416978092,1.3181565510892699,1.3420542057629663,1.1651402651891203,1.310495054102165,1.3094760354983324,1.4152740181440973,1.3957028804107927,1.2523842837046761,1.3504444106762248,1.2837547331591104,1.211147371498826,1.1149970489305667,1.2800737042173331,1.374934730618166,1.4254261163678337,1.9656754602516162,2.8367882694939373],[0.661147474915081,0.7534439229866012,0.9892289907220323,0.6493451976227662,0.8182908560620367,0.7141135206947896,0.6207989166063775,0.6832638714282656,0.6021628996296942,0.5333157283985037,0.5277101314299594,0.6166089424392484,0.5584451454203255,0.4959006994185028,0.5239478886724432,0.5344633725766488,0.5987616095726652,0.5480779101415456,0.6213527065440807,0.6073837248942225,0.6402787827486603,0.8259990887714574,0.8315011937170641,0.9300859678263083,0.8450253613471077,0.6955093914404761,0.589596421055306,0.5609839566453425,0.5791792973320901,0.5775336394438169,0.5316164587263077,0.594255151251078,0.6209278969862905,0.5756859981621735,0.5879002648422202,0.5552842986269995,0.655234745665526,0.6463847878088059,0.6416260975073581,0.7695663299203973,0.9384804846278246,0.7784585108993792,0.9168979507077725,1.382374871356098,1.9332485507905828,2.9114027896171764,3.532305586512218,2.4166724144741614,3.125027667506354,4.2234253540429645,2.5595292221036385,2.2950425246161945,1.5776097451445934,1.010547172179483,1.2718063451218198,0.9425687087124573,0.9347124467178887,1.0292429907611222,1.2073577310226744,1.0860580592628604,0.8387462525869498,0.7714551563603623,0.6340440698905797,0.7016979763086388,0.7271061596783773,0.656137963477777,0.7577974922873099,0.5757200608741837,0.7876478513440066,0.8940561675167852,1.0820659754705348,1.2843799703390948,1.0895029470578341,0.8585763862207458,0.6966111817862322,0.8063686083503372,0.5734382094245715,0.5593509796019407,0.5913694981291165,0.6480727308957546,0.7154679790589555,0.795188195726667,0.9706703314050398,0.9709270745580316,1.0496822409182316,0.7218931095112235,0.6549256443626732,0.7781954935705987,0.5713349269458095,0.6205614160733256,0.5523661795866786,0.7991498260017967,0.6024112264086269,0.560133049247071,0.5484465632873988,0.6378128052411269,0.6516838991628593,0.6183516184948028,0.6473579750792249,0.8085306484868843,0.6841475852637906,0.9147689146409655,0.7649223166641149,0.9010949081120462,0.8954129833804456,0.9677967925988967,1.162005873525132,1.1257218245751892,1.109148471346764,1.1363075105800613,0.9847578484316332,0.7881115845906124,0.6710678904793226,0.6769289470930012,0.5693522341672004,0.5532510504998338,0.5667815894545729,0.6156935768482985,0.7040554101568027,0.5816310945698963,0.5783407300352982,0.5677549782262357,0.5941912879954272,0.5271307210649236,0.5366458953471492,0.7387800231043099,0.9569590695703354,0.8563718599703859,0.9957600384583306,0.9978421818757147,1.0872202628070413,1.1227469139259874,1.059713255920294,1.023190436607382,1.0328684718744985,0.9477739518233687,1.086176307689694,0.8035373154757413,0.6321067931206694,0.6317257557467888,0.7000038875572493,0.8081049367717429,0.6376136596610352,0.6192620194082936,0.7007954465690518,0.6131123925139057,0.6139569136816404,0.6348724626284181,0.6677585422222834,0.6720663824944758,0.8127806744906981,0.7303118920470525,0.9971461583798363,1.2899667766983391,1.0209754031825653,0.7742420655336414,0.6823807636332708,0.7892528284002601,0.6781964393596687,0.7571452579206852,0.748924090536007,0.6412672729866152,0.6891002168423572,0.7164977026912911,0.8347197525144769,0.9869424909274989,0.9588734256659986,1.1940563696140594,1.2889310117431094,1.1072810040402548,0.961944687907411,0.7915958588089868,0.814066862982036,0.7761938810015387,0.727369313332995,0.7583793630916951,0.7387830034013048,0.8444784880442271,0.7398303264104505,0.8562190198926122,0.8528735944521418,0.8575639407365887,0.9867404052247708,1.090533532636358,2.5069855481840597,1.8275626660673034,2.0346154844688566,2.0595757555174536,2.240525220325098,1.4142776643184796,1.4667689951789817,1.2967506835838867,1.7243107012823427,1.5513359270458158,1.4363549840793581,1.3492486605971497,1.2279972120789284,1.2350782007548022,1.2302680868830642,1.1883747471216843,1.2005950522590974,1.1753844260462278,1.1446690769818773,1.200580067465371,1.2298037236229733,1.2119089184937226,1.193113779734379,1.2477425066237053,1.30292295120021,1.2965420368316165,1.342424390971744,1.445836904854162,1.4809607840458876,1.619667243216502,1.5587067168144217,1.4464902110320836,1.5699856199889257,1.3171948314463937,1.3173758545794092,1.3763199463252491,1.3662054575282745,1.6804019138178992,1.458167781460802,1.4120456856551125,1.4438405096960751,1.3542023465029849,1.380847218099509,1.3519708951292138,1.5408033239980012,1.290110188716808,1.306217991607246,1.3828152248145804,1.3967278268180363,1.2989526998521315,1.4435122143062689,1.6415428450495924,1.473629646055723,1.617168505425908,1.3073304245057298,1.2467491221542115,1.2347340730362113,1.2299946523818408,1.2973321928551385,1.3989331220191412,1.30390202491961,1.2771642113869885,1.270307800503471,1.3079391843112074,1.3111421170787934,1.2629487207506127,1.335393022244936,1.389011440675592,1.3174273487040016,1.410730787458799,1.489174258635863,1.6599227278786708,1.4589036369037847,1.4507111527128436,1.418248442256418,1.3648535691172303,1.288879832217918,1.3105841890162357,1.3560349485967567,1.2955847400274305,1.2803028992234504,1.3113690240215699,1.3131134887247287,1.262138685832414,1.2765644509159746,1.3313761415274494,1.2885640632283992,1.44047440790076,1.4246777673762396,1.6991923025431397,1.495227207552208,1.4165349671681315,1.5093561996705378,1.5219295054730062,1.539205828027896,1.272158973189278,1.2471857941992317,1.243203564449736,1.2188493625511272,1.3126168140004215,1.484313955465385,1.41432049360238,1.367623373801067,1.1453471051530357,1.1596321722767506,1.0429916758005364,1.131203968616196,1.111398606332163,1.1774610672304353,1.2327438151644898,1.10065917135506,1.1216675676102401,1.0677147938664853,1.055534873671538,0.9498683470975946,1.1069393693049183,1.1315241789418657,1.2788251526128227,1.6909514288334808,2.571567347770667],[0.6739648904539247,0.7211264738716122,0.9154335351899628,0.5847367059069185,0.7574498780980682,0.6674429730896503,0.5483356331012991,0.6163144039692274,0.5330304812421717,0.40966852333360815,0.39899547387543954,0.5332664052015709,0.42507944678237236,0.34357955256755424,0.37620635567874017,0.3920333222905403,0.45520565994971013,0.40855368412399806,0.5121623973803343,0.48885718007380136,0.5322808368409607,0.7244898856875738,0.823540380854166,0.9012262286309856,0.8151815545799826,0.6182670467194368,0.4910077417291991,0.45181996796561025,0.46052179402357274,0.4612477959947442,0.4114561018379134,0.4726394297376465,0.4971613333721188,0.45099778468955365,0.4668489334173551,0.4430387038621911,0.5406055558161835,0.5414484450398525,0.5343793783530337,0.6981969238123129,0.8558035071921175,0.6866842836065772,0.8723602223926299,1.376523021035845,1.9269810895631605,2.8662260767086427,3.5945596845492047,2.4920896507245978,3.063784447567147,4.174001458315548,2.6147275793160296,2.298044156927484,1.6460912313499614,1.013362110503819,1.2518792270836814,0.9647449404464398,0.9258053382364172,1.011164666750571,1.1592582099442923,1.0886152030261602,0.750543293901832,0.6812540457721655,0.5417578906701497,0.6436127894739209,0.6316200445356434,0.5671421581494402,0.6696761666011432,0.4635247872373086,0.6805301778519305,0.786957915300189,1.0249253118467017,1.2549763652206158,0.9838408904954303,0.7922935061373181,0.6031700692072185,0.7733408823623185,0.4931547723912349,0.45589574644092123,0.49717907465130723,0.5646269582800183,0.5989876640104841,0.7081635498797071,0.9072384434091189,0.9499712643595131,1.010102889234891,0.6125876740569796,0.545471797006015,0.6845995704993706,0.46278814504815746,0.5248743096363706,0.44213945004376953,0.6849509412645249,0.5177199003948479,0.4181415844031062,0.4062360877781817,0.5078576709027641,0.5317729082562727,0.5159390971075752,0.5528423393026866,0.7267235554580701,0.5755836835691067,0.8311782939898579,0.6520594832302183,0.8156124740409203,0.8119086510369925,0.876391946331672,1.0651949881770413,1.0579594537595016,1.0277542108641171,1.0572285878305194,0.9120261138034792,0.702618786549079,0.5833859102389461,0.5758417951605882,0.43005655453117725,0.41871004964570147,0.4494084424539155,0.5033784967606881,0.6134040354169449,0.4527716425799272,0.472263436481012,0.46357328816907845,0.4783734052471387,0.37715713641346454,0.40538461552225746,0.6241460549344399,0.8573175227732163,0.779735125369071,0.9213764027794915,0.9225690599089799,1.0205885248279272,1.0432891484897147,0.9865924890901717,0.934376532202767,0.9518459133237913,0.8640307608765783,1.0094610718206523,0.7339361998893349,0.5307547009784602,0.52132444120229,0.5824037623141447,0.7238146433119962,0.5194333625613287,0.4906648701452644,0.6010241707002353,0.49656405663927966,0.5049314035792529,0.5167497908680342,0.5554494073793422,0.5740704978452884,0.7463525899074731,0.6717978525829589,0.9387994617932651,1.2671616820902978,1.0013230628161527,0.693070262974827,0.5851307393647825,0.6915710222081336,0.5790989370327454,0.6647410017675761,0.6520409367676497,0.5424498942230866,0.5864510797315221,0.6228837533073055,0.7439988045390945,0.9079444992490383,0.8976650028496407,1.1786090952690553,1.287420757625142,1.0394066471118102,0.8815192962956286,0.710248025825119,0.722134109079469,0.6847523453324157,0.6355522450211406,0.6625731248027866,0.6336638025572786,0.7389189168441951,0.6430097552786256,0.7553485325284961,0.7793066712345607,0.7606426872953661,0.8998735553191483,1.0322103939175473,2.47538700569831,1.8064294519329953,2.0132250357113546,2.0467473997273786,2.204897437766607,1.3892276023715708,1.3667708887321859,1.1798087229498753,1.784191647981092,1.5965269682902246,1.4927411556682835,1.3960419386812981,1.192749470765892,1.181052082180801,1.1600319886510353,1.110522671672612,1.1072892591840358,1.0784858849069892,1.0587232564841107,1.105969594107718,1.1286902475109006,1.1312224354763658,1.111517542831783,1.1570725316531876,1.218220686981314,1.2374460807229848,1.2859991009099736,1.3918980529108436,1.4347920607794977,1.5826952028220915,1.526094269626151,1.403544075362379,1.5147710890768822,1.2724662299847656,1.236672624014234,1.316785056721412,1.3130720515206673,1.660122054808387,1.4386442152466972,1.3359801054342546,1.3680925692110808,1.2588497972754642,1.2853065396881165,1.2730707035146012,1.4610966027011638,1.21880113954042,1.1980740439188726,1.3176561283041075,1.3080793089410152,1.2204710509407433,1.4244351792805976,1.6402978714806808,1.4181679595940113,1.5887261808937148,1.2245177928294193,1.163395498785875,1.1430638290448698,1.1267970866245056,1.1987214878868249,1.301439032899648,1.2253921181305314,1.1882952600064685,1.1741178584318304,1.2029642099516324,1.2096609967193424,1.1626142719780512,1.2466805856005332,1.3107646785902318,1.2413365331089519,1.3296957483805698,1.4186036130410613,1.6052700233750306,1.3973550347471813,1.3873971181834635,1.3461166293982216,1.2810818653529386,1.1935669400511018,1.216289781850315,1.27008435358102,1.2027301458287984,1.1810103920766002,1.2199204995631965,1.2290488829782251,1.1683707747294498,1.2022718348414194,1.2726728367916702,1.2099883662780013,1.372937622820641,1.3931851052732782,1.6288900184721147,1.4396100807702117,1.3204767715615393,1.5253923542921415,1.4729846940921676,1.4305197644259058,1.2087268665902526,1.1670907638556534,1.192234334818183,1.1527391776083717,1.2031185355091432,1.3796060006237811,1.3144695290881863,1.2724631928184826,1.0685848217168734,1.0844148987772817,0.9764243029151508,1.0598743192213307,1.0313118998802495,1.0919162903095876,1.1931724422309185,1.0405862969379303,1.060528920259686,1.0119253207520789,1.026123441631999,0.8960236917454955,1.0683305652021253,1.0603106841955714,1.2755373331331272,1.6166088071932283,2.5042903384185013],[0.6330813683974467,0.6431229764742613,0.8333861704966014,0.5683612232753772,0.764564219130888,0.6766846615591268,0.5505700683778363,0.5865094926887343,0.5485516454817815,0.43297755642409647,0.4293241859687915,0.538240661830664,0.4525332117897667,0.36478728173902814,0.3907323774175582,0.4228069303409754,0.4639531908254227,0.433198096775144,0.5149802145461623,0.5083335086993543,0.549169169959291,0.739713013994009,0.8764000183633185,0.9254172911998771,0.8604037200291904,0.6398924201045242,0.5213863361951028,0.4819059488642363,0.4762729337073725,0.471839536276646,0.4186368656780444,0.48505294386689934,0.5043052325222127,0.4647643664671191,0.48036677315884413,0.4625497281976443,0.5482654482131164,0.5620154447749949,0.5588086881325939,0.7323896423452306,0.8525516683793213,0.6999388308869711,0.8925435006317024,1.38554850800943,1.9487337738518946,2.8556809702900936,3.628300308240201,2.559150305102843,3.0306308465652494,4.193168484011839,2.6628168339231535,2.341516748241015,1.68211305156506,1.018102676125088,1.3089815410466499,1.0077758472004232,0.9559436816826005,1.050589337043571,1.1898500979790878,1.1100877684139034,0.7561925806148443,0.6896280994801268,0.5389742297023012,0.6645865586389648,0.6464488973992801,0.5831538003518891,0.6855587148253071,0.47051194115059647,0.6522435089769634,0.8140957749835803,1.056664024860503,1.2899748095842218,0.9909656349443953,0.7992236318442505,0.6092960995005128,0.7560690634767177,0.5021316752523586,0.4680683204680521,0.535013291934442,0.6004957867617434,0.6335246966145732,0.7402717191882852,0.8968816367621925,1.0362438840756627,1.0645641021683603,0.6417589694687019,0.5732990988714037,0.7163187007328274,0.49050020120784843,0.5502905068262139,0.46397182117824054,0.6629221419272756,0.5258479759109946,0.4342628877365129,0.42309695373513917,0.5065164022423339,0.556601260924067,0.5151764479712173,0.5510227503015561,0.7030451276946031,0.5581358349335139,0.8175344231782297,0.6508373947342048,0.7842787518607008,0.7742495961183862,0.8473232410507707,1.020718213138518,1.0461249899514462,0.9945411569065027,1.0048009050519011,0.8757985527885526,0.7064660663332979,0.5899352474934836,0.5918110946076754,0.46081707824175244,0.4555420471069731,0.4914661915988394,0.5023403567663812,0.5948768387430449,0.4695447007551194,0.4976941571317121,0.5028453311163323,0.510928039955787,0.4097816824908766,0.4308593108059064,0.6180402906291728,0.8413586674455973,0.7910210489255437,0.9120415200614547,0.935291336974483,1.0403526894460893,1.056773931536382,1.0261497195924154,0.9538496603798859,0.9796161610132661,0.9057780659450092,1.0204545318495077,0.7664449385628544,0.5502618446283909,0.5436171633332556,0.5555641423333982,0.7246820821193206,0.5207850755823105,0.511263856496519,0.6290270203919509,0.521963527901925,0.5345466771372883,0.5325516591913523,0.5729324563834368,0.5748068090012863,0.7309933680364205,0.6355922346111343,0.8787915204870356,1.2170625044647538,0.9841543652310568,0.6596271853783077,0.5808888235696972,0.6810941159285874,0.5960288792834546,0.6711012073701592,0.671491778704871,0.5665688584136798,0.6136431538718191,0.6736631127318174,0.7881424131829079,0.9296196030484016,0.9471834527713684,1.2210587647188442,1.324617609414757,1.0727276042117744,0.9208570097689134,0.7501420134371989,0.7581819487552738,0.7222665127960222,0.66956810998985,0.6718120951856691,0.6681368968801723,0.7226451024193651,0.6794675935223712,0.7735989275734275,0.8346664919363728,0.7709123606795222,0.9288789227126139,1.0905784163588979,2.541735454601229,1.8316635493123858,2.021756066793182,2.092690044092025,2.1998933391045137,1.430759968299443,1.3784592262398596,1.1543037533682605,1.8721277170378734,1.6474859859502287,1.52618440562342,1.4350464812257144,1.2288263981704082,1.2189806849465203,1.162538847329684,1.0986566269257445,1.0602569067243226,0.9998286990120652,1.000135304380279,1.0360266430173775,1.0137195712411964,1.004294991356084,0.998236106836084,1.0130978224152578,1.0417846789229102,1.0830737786428706,1.1265170042098196,1.195259916358047,1.245891508226173,1.4310454851703793,1.3596105567134864,1.258475073793613,1.3214814016734204,1.117837790132916,1.078941416971338,1.1348638988557564,1.1270536198470338,1.4887815529681843,1.275025862842405,1.1836057350349742,1.2361283586413971,1.1400645661010784,1.2137606248834278,1.2190628273949642,1.384446196932267,1.1676879303367438,1.1216108142482974,1.2517898721319516,1.2225469163082543,1.1755659143268091,1.4876536100519167,1.6308547604034556,1.3936843778859185,1.6332234031358186,1.2022173581748914,1.1644487385602877,1.1229113198609355,1.0645390938417636,1.1237073490649543,1.155413905186858,1.1343663673515456,1.0947652154448202,1.0648228866600786,1.0721622207721335,1.089304685023442,1.0191499449014958,1.0650970461358595,1.1248222838845792,1.061096279882568,1.1182962461904042,1.1950113392270152,1.39723061946852,1.1784690691673299,1.1610833651003154,1.130362199818692,1.0762900624739697,1.0321399597046892,1.0536254630233377,1.0805430901943414,1.0335307853547067,1.0458585481648606,1.0694201801244825,1.069673463363779,1.0560663278836042,1.1104347890300654,1.139973274362244,1.0863042674298267,1.3178275942745377,1.3214756187509678,1.5188045548638587,1.3549844186107494,1.2049591546739336,1.522921086870856,1.447097683571207,1.250264631186211,1.0846718216646318,1.0274776485866501,1.0843258455347178,1.075048124812113,1.0651921990522368,1.2512051581625236,1.2293185034885772,1.1942421710962832,1.0334061262495076,1.0702359233831569,0.9545418328303723,0.9853189866166017,0.9593739536121155,0.9866184532715497,1.0707918639751461,0.9618455577180967,0.945568830009799,0.900833274989942,0.9666915241573462,0.8164900002351188,1.0347991129237315,0.9377440419189568,1.260807223723575,1.4552741669442706,2.4067697522868206],[0.5896756628141699,0.6315470122651594,0.7885355951803694,0.5757680373985213,0.7383385386415329,0.679801102976081,0.6059864203965766,0.6231082909298332,0.578808787193373,0.4886952517820258,0.47037894508047784,0.5780955191089003,0.5114968427649275,0.4326991078977823,0.45747231420508977,0.47530594138179255,0.5114358254459908,0.47447968455231854,0.5657505422399753,0.5382100825952089,0.5796106875405677,0.7968193107394099,0.8069573812656399,0.9099345464790257,0.7764272299581075,0.6326696521720533,0.5418366364009461,0.5105555751159501,0.5252477959626976,0.5281124642764804,0.46635201509698154,0.5397720836429464,0.5289211292887327,0.5087187359694693,0.5250092199188446,0.5144219210398049,0.6004906657221275,0.6233837874036436,0.6078816172176663,0.7820892126712875,0.9246940222326563,0.7724349051923057,0.9932945734649545,1.4737138853535092,2.013256201157445,2.918674326837041,3.647014362690084,2.5420639378816468,3.1122050838466957,4.160108385605607,2.6844392821762186,2.348566391264127,1.7583302358136816,1.0689696354558835,1.3254650132518522,1.0691836236726406,1.0326366561750009,1.1102198693309444,1.218924504335139,1.172446438708766,0.8124012162504813,0.7295685231611335,0.5874217699475991,0.6929078347228872,0.6819824588942508,0.6295858905387709,0.6937981916286682,0.5093036407683474,0.6849491640801096,0.825884023104614,1.0428399752842539,1.2796857505706314,0.9873844692838127,0.8370153842475195,0.6273812701757856,0.8105121797077889,0.5508235153024647,0.5127377368418663,0.572778610768498,0.6517566414174049,0.6517673983814105,0.7638108728992363,0.9444707134514738,1.058795651809411,1.1584444869295665,0.669799898225735,0.6092240964172446,0.7269668713339947,0.5433949193140803,0.5886940859897721,0.5254364961629611,0.7286710321110427,0.5728787999073524,0.48738282842757025,0.47604370157564146,0.5624058366719028,0.6067259878497181,0.5519303253689608,0.5842907245335661,0.6891299580964128,0.5766682435567299,0.8036124277566296,0.6436456614656132,0.768291895785791,0.744207924287549,0.8267750034445209,0.9609145416898266,1.0011061920568392,0.9502309343746936,0.9786812423994712,0.8511045657522366,0.7149188410696862,0.6345721163796327,0.6409863267062101,0.5226660681177712,0.497428211246413,0.5102280471179728,0.5210624396348988,0.6272159927693199,0.5063979055856637,0.5505154258246201,0.5405167824783381,0.5440655359682606,0.4687140641288789,0.49723026607237675,0.682734906556594,0.8333311146102115,0.8023660622983089,0.8936162848495075,0.912687636667046,1.0065543962181,1.0079807322045822,1.0031204693897995,0.9259509719390165,0.9729541979326297,0.9270653110223732,1.0456713649312304,0.8292359133084573,0.6249112448540204,0.5840245876273108,0.5975893376008872,0.7341393756271749,0.5361912406011664,0.540627097666255,0.6405078979790448,0.579631752107192,0.5875589355093392,0.5967109345838074,0.6034924522571787,0.6206463468958643,0.7203230111721487,0.6545622765651551,0.8870782176143949,1.2562911943500896,1.0245179998436953,0.648697408716563,0.5962619437297574,0.6833997767348663,0.6096755565185848,0.6516587108546693,0.6857550863709717,0.6157137566828568,0.651692908383548,0.7047140580937876,0.806178153581886,0.9697581188213762,0.9537502528979914,1.2208276277247698,1.3246835263962415,1.0894218671245592,0.936662734629312,0.7686704942931573,0.7649999936286523,0.7296319652017654,0.6763101772578872,0.6771303730620312,0.6818021848052511,0.7095002843980299,0.6905184229905379,0.7529647795545428,0.810855878622122,0.7440873403335394,0.9033851521442805,1.0883776895866213,2.4658653031311597,1.9251903755616286,2.0864997125686044,2.1576930182455025,2.292212699439071,1.5527616843531376,1.4836667556244394,1.1024110538442404,1.8668228439505754,1.6176574861045507,1.4624709598386463,1.3629618723340307,1.1660036608244142,1.1480004226962175,1.0771216801034433,1.0487320369978421,0.9641130926879219,0.9166924062139211,0.9303614020353669,0.9279913815685096,0.9021583867144203,0.9154865026733379,0.8947607733451163,0.8883646258540642,0.9345849651018239,0.9851686545074232,1.011164459616574,1.0751848671163036,1.145609703522276,1.2779314394463213,1.2371238876850286,1.1412990696878846,1.224301494687586,0.9903486571992848,0.9419350186262069,1.0052444558926452,0.9937959597437463,1.362714119309931,1.1553201972454092,1.0923925533343937,1.1083870405572243,1.0255363245239226,1.1149147718323493,1.1141023340837992,1.270862321816661,1.0675238995141507,1.001988232169028,1.0894748587295298,1.0837968877880881,1.0395685169622984,1.426917286084509,1.492474609008019,1.2651580437425722,1.56458276495835,1.0810856871293206,1.0993800226895463,1.033721708037034,0.9720780048670343,1.0692926186880534,1.0810317479725866,1.0973133195425524,1.03613296764498,0.9757911205052662,1.013071794375031,1.0305669168226452,0.9340383651264065,0.9811605796182623,1.0495314559991293,0.9767589993458171,1.0227802561911596,1.1005276191827515,1.2985692267687838,1.0574647024441033,1.0363294665364895,1.0121081274540402,0.961103850613311,0.9202466384272202,0.9272875903173622,0.9535792810676069,0.9085627500681498,0.922147061698628,0.930069693807555,0.9362106602155726,0.9250957971121634,0.9926489199588819,1.0243379495563836,0.9487983480141509,1.1839855017895238,1.1779656599606727,1.3928251090995605,1.2292590699164847,1.0767593284379346,1.4307073568917887,1.4100650258673308,1.1408111985777176,0.9592783158514532,0.8990691088288737,0.9697827835344325,0.9538780508624723,0.9393940469468511,1.1033132212368801,1.1017840418486022,1.0808604908014547,0.9610302503594801,1.0055699445225998,0.9176599543120119,0.9119009036997403,0.902442318464893,0.904111215678735,1.1285832855352307,0.926889225431066,0.8410266028400301,0.7948877945677084,0.944934427933591,0.72893803751311,0.9132336886457217,0.8326790661831134,1.5455351256285126,1.7402796476903266,2.476740865095978],[0.5771477275765818,0.5794526958761496,0.7302591701015544,0.44623022593898204,0.6115795686813055,0.529489479272149,0.4042557887175824,0.4163665989206905,0.43653519752924724,0.3595752907315081,0.35621445638864946,0.4506761506777738,0.4038582851146683,0.3688632245501478,0.4184395833830978,0.4189632259861737,0.47916580755725346,0.5071954369390208,0.6423775426481438,0.6460090469370576,0.7320550918408641,0.8377152276892956,1.1032847744318768,1.1282115776125259,1.0625426630226051,0.8374685511378079,0.7119216187164558,0.5970725914868382,0.5385395970778094,0.4417426913009086,0.4651461272650571,0.41734270122058165,0.43494136244756354,0.4512023905749844,0.46214617611145614,0.5012704407208112,0.5071723128923877,0.5842240724779428,0.6317177551911068,0.8448290670399747,0.9221627861758475,0.8083314602888908,1.0485739209645848,1.5354726782594497,2.0877472627479,2.942240312837281,3.824492209625213,2.796231943244111,3.1144364984142574,4.205487460955775,2.8666296461621625,2.474602966284829,1.9415904568623474,1.2358830521803132,1.4716816343479329,1.2530398472221325,1.164859839072558,1.199169327535207,1.285063872109552,1.3046863267578306,0.8655274539325478,0.8011222544934702,0.6862266300170731,0.8310651927578954,0.7690894268999252,0.7342867114590438,0.8714782659955289,0.6194644534755945,0.7944559178591072,0.9229326144148793,1.1850822661931812,1.469210860712513,1.0930263230136155,0.975947567621225,0.7586694739835496,0.9153936476112342,0.6424606208905864,0.5746694243091028,0.5985946383917908,0.6784438981460753,0.6624472809156879,0.7532301726866081,0.872295300384105,1.065471070742093,1.1212534990654122,0.6408805008429967,0.6341869546238319,0.6933697125384928,0.5636158401422194,0.5687173363111451,0.5790360393794509,0.8156923836964067,0.6265491493821019,0.47939657834482924,0.44468573517254134,0.5482351821378892,0.5930548741894043,0.44159098259027924,0.43617303797401247,0.5419832085749063,0.4471202743103931,0.6386640511460844,0.500900272674147,0.6008210548958044,0.607827864013863,0.6696221200429912,0.8037081136968545,0.8506203001571252,0.7873706622086137,0.8020180147325048,0.6655130447334694,0.5450092125604904,0.4415416097472754,0.4730300741319319,0.4182219940660365,0.47543935696290357,0.5585513380969426,0.6388961755645798,0.7642476101586869,0.5686542688768889,0.6055035218120418,0.5538090906916191,0.5603483562931376,0.4047396109291589,0.359604032900842,0.4781508705419439,0.6478485303815401,0.6326616525415905,0.7066128384835112,0.7599969733621165,0.8718931598459704,0.8958925523922711,0.8994780373500754,0.8042426029103583,0.8465929635349865,0.7753675275069016,0.8926805086935484,0.7154851771262974,0.5886063842583498,0.5905121678054256,0.6981500818590601,0.8962481048410795,0.6681510165906691,0.602993070801884,0.7632659910242061,0.5467617143036305,0.5376368159281136,0.4753584563426678,0.44661739847276327,0.45208765745452223,0.5411699595208723,0.47144040069317134,0.7203873529979055,1.1623835899292772,0.9266661941758071,0.46965595765456297,0.42563858102613594,0.4992653032712112,0.45021696217806756,0.5194645781523158,0.5712258795646593,0.5415855099018013,0.5928572213531125,0.6582528755415596,0.7598900346017606,0.9849336969264997,0.9434778531245142,1.240173712463223,1.306435778791426,1.0170953346131504,0.8691674567782004,0.7051198836738327,0.6868736080719364,0.6431560909543403,0.5809575703814869,0.5544604076587357,0.5823434611939737,0.6141880535220888,0.625060030990736,0.6715774252674631,0.803105519756806,0.6207808024343157,0.8094198376867544,1.0259305249248658,2.308323102963064,1.7591581759999781,1.9259487973909564,2.0741340987256245,2.1384214924219243,1.5167213892614744,1.4548359732994356,1.1550989658595188,1.882962709787756,1.597990280387272,1.5183444152163172,1.4723072520438878,1.1252823450463525,1.0756727357526363,0.9733991723548079,0.9022904816073284,0.8399563205537025,0.7597259610439948,0.758378422918096,0.7856731294519805,0.774080537384077,0.7634804865876489,0.764588916829926,0.8063909240407805,0.8335868510322425,0.9019064976046766,0.9819966944392094,1.059971869261367,1.1031923842104285,1.2938038226012154,1.2798429080487073,1.1744692668437868,1.232317689893783,1.040437504212449,0.9438332957613652,1.0150759304603532,0.9959982085204655,1.4153450334546958,1.189137596191689,1.0647862706019826,1.0814666622739275,0.9550196962118102,1.0058484667922327,1.0519924217440864,1.2098890051955364,1.0010846278054768,0.9563032940142178,1.113560882292789,1.0792957137215473,1.0290997573341838,1.4254324496953135,1.5514478509073382,1.2380115809907979,1.5071842556375805,1.0036278573710216,1.0288772327783944,0.9500709070415319,0.8643312326501899,0.9358021285579304,0.9213764257769907,0.9510058640368357,0.8867289569792459,0.8561670445250641,0.8496408428978134,0.8531068721801529,0.7779714017656489,0.830178183143678,0.8942933449372641,0.8427206316665963,0.9184218311395626,1.0058987138037556,1.2252437089430936,1.0131381285919299,1.0032508495079324,0.9690055986820172,0.8860015587287839,0.8156550491327275,0.8516842921940836,0.893090542680116,0.832132806005459,0.8390731317490812,0.8818551960026396,0.8944456973135636,0.843670446201012,0.9522784580485526,1.025711802831931,0.9041622156222531,1.1270793629283218,1.2036754900958797,1.3619058622223363,1.198462694314183,1.0267992040088307,1.530595607650299,1.4041552096941101,1.1530984553918124,0.9898530270825556,0.8729258214550147,0.9498042066167648,0.9968108417429328,0.8324707552737918,0.9745787289926242,0.9265778689296392,0.9357821440339262,0.7889934995698946,0.8480841536609945,0.7392263472857137,0.7357187480065343,0.7231416202281288,0.7397699303525597,0.9056016425408616,0.7533873451255393,0.73911100571527,0.7245853704094346,0.8484065680799556,0.6668487104990146,0.9426285724841792,0.789359396104251,1.4415980602740115,1.6097402098873683,2.4833414686574486],[0.5124596759896624,0.5199675540388723,0.6400129202766885,0.3830098721859281,0.5334949508868392,0.44689481103485096,0.3565289599062592,0.36992614259694423,0.42745958036121906,0.3897251501461956,0.3996229109347178,0.4692143707201621,0.4614081042090674,0.4567091546882259,0.5219659135389385,0.5182059413755845,0.576713025819479,0.615257628838093,0.7461614653229668,0.7638187243904967,0.847570044810115,0.9098186384978325,1.195219439292497,1.225218775105875,1.1726890797754945,0.9667724809321895,0.8500987183568304,0.7127485257415535,0.6459097514137361,0.5256450966548594,0.5760035905627618,0.4904865682578376,0.5060084067672741,0.546501297410396,0.5618071641400076,0.6089222288186178,0.5874299539875858,0.6785951753845045,0.7486047845441625,0.9452595772302282,1.0012760392889495,0.9147942794602846,1.1640832468207818,1.6507935240523766,2.1528134197517934,3.038231711130734,3.8794681865056146,2.843586037292839,3.2664251109698177,4.233610897203524,2.9479609757384284,2.527876744465168,2.0607105910098986,1.369447134336418,1.529183703593244,1.3723800407958557,1.290593477048133,1.2989062702177898,1.3693137423939454,1.4253488675927193,0.9580245209858866,0.9076136622241149,0.8110230455762808,0.9417247838173527,0.8743802750618447,0.8479281018089375,0.997467492510926,0.7382582455594406,0.9058694599722625,1.0083872239129525,1.264830480304082,1.5563598627190904,1.1782079646637031,1.0749271411523762,0.8779624008976382,1.0360965998991554,0.7650884221864819,0.705167895198061,0.7070506206326103,0.7795890195657305,0.7420763330083895,0.8089942784371627,0.9639760382031893,1.065986079443225,1.1793709475604743,0.7137050680879594,0.7385494689993591,0.7471713406654107,0.6809501794009227,0.6583063885971382,0.6972734471550656,0.9364669616787131,0.7382629296185624,0.5908622415704637,0.548379746706711,0.6393476344532125,0.6584302412297637,0.49697450769465773,0.452283662479373,0.5135034006622831,0.47036647626012085,0.6060523883432833,0.5005545942230759,0.5416185249775369,0.6083469506174793,0.6072857301074644,0.6958110951124575,0.733334346763409,0.6658815775758691,0.7051907091403217,0.5465188358038578,0.5064599479835381,0.415548337672871,0.4679619549993033,0.47321862404380904,0.5599977381679263,0.6536252636069682,0.7561964789823997,0.8949664057076838,0.6725315774597755,0.6969499438878167,0.6201148615847882,0.6258240375518216,0.4687999136540188,0.39584939640210737,0.46952412770185975,0.5341468066917245,0.559753219773154,0.5972590285933707,0.6750330813276719,0.7605680617279037,0.7836192956028297,0.822558961975745,0.7438405804765807,0.7891803718207235,0.7356434089962781,0.8419310911918373,0.7436832834971436,0.6660317112275027,0.6812090013166298,0.854271720661701,1.036430420669859,0.8020966766812356,0.7164031243927026,0.876286927247307,0.6373707882660872,0.6096765140574548,0.5239863537867364,0.45919025381659107,0.4277040870600311,0.4420828275474046,0.40877808628425594,0.6250459644078201,1.1384637380525195,0.9085959741592358,0.41962499338433884,0.4080439403055373,0.4347040888210145,0.4614813793814429,0.49309896675305376,0.5935721762770985,0.6172558999315543,0.6564853312669643,0.7176269391364327,0.7826572174525407,1.0487673591923938,0.9656149280231028,1.2580566393222579,1.2989939306270921,1.0293652260425288,0.8709942285341971,0.7286588173190318,0.7041129218429588,0.6636634069666552,0.6119446688810675,0.5757526293990584,0.610169447520825,0.6329745997715324,0.6607521197517745,0.6684091327767756,0.8121566434627879,0.5887321185878679,0.7663800363830556,1.0114511667519916,2.1149073164352683,1.7455169604714935,1.8718639575605565,2.0335836543455508,2.143926851664595,1.5958406163272,1.5808246471338676,1.1606782642592264,1.7716567300929533,1.476944721999103,1.420864954038138,1.3759930788779389,0.9998100357289201,0.9419979609318111,0.8280273197303025,0.7675454868866415,0.6627460164622075,0.5741596926989528,0.5763136492604246,0.5812417887261764,0.5578169830215975,0.5704932947118293,0.5643647574288986,0.6043681041144943,0.6436181536923243,0.737026750638688,0.8173334183595276,0.8883400179232838,0.9485614632247205,1.118408343745734,1.13553468608006,1.0398726941177394,1.1119487046531626,0.8851943143878279,0.7642060453229603,0.8308233527752462,0.8080912493493945,1.2475930030057187,1.0260695260512611,0.9156339274738844,0.8993998570565391,0.7532674609197347,0.841577416680666,0.8909199403373262,1.0350929809989837,0.8372280821815635,0.7794872248189741,0.9221973264181588,0.9148404719956739,0.8562179319779515,1.30637701215583,1.398049805408704,1.0778859760174293,1.3868221745990896,0.8355009227615433,0.9033523712539727,0.8093244788778542,0.7179306488629053,0.8157168783281731,0.7949371396953596,0.8633986128707676,0.7588477904567883,0.6950641681251998,0.7122322976909788,0.7131188940149581,0.5872423627594324,0.6505841602368923,0.7469141321275051,0.6694266496403711,0.7298124947324177,0.838322363283612,1.0723191075966896,0.8367686866828222,0.8225014225480589,0.7779631842480527,0.6816915546319401,0.6167771111790357,0.6430599336450259,0.6837664665243085,0.6252072619680061,0.6314918112779943,0.6758714886719608,0.7012420817997167,0.6489634288280872,0.7912286372366089,0.8925640233184222,0.7306808696233702,0.9532947341870237,1.016955515521294,1.205308820840025,1.0414213660034173,0.8704898282373355,1.4305206243607778,1.3703247990716245,1.0371272053126,0.8496545896171586,0.7096881257495382,0.7989989814607884,0.8722945554531263,0.6659537986864155,0.7944181783040934,0.7598861390559049,0.7536830504284889,0.6181881625254231,0.6885872800024329,0.5858519476868165,0.5529002000575362,0.5523382131035096,0.5432918046995407,0.8771735585030905,0.6322837761056392,0.5599072753014723,0.5971740074455109,0.822820522440591,0.5508156459255814,0.8632408848220652,0.7376382694182161,1.6790183670209948,1.8920479983682583,2.6524270301942567],[0.49547374781896164,0.5136832759196289,0.6480545433843844,0.3816638861869338,0.5188997123339308,0.42711079526986684,0.3474830569299178,0.3593695160017163,0.42311806113584033,0.3528988362193214,0.3479559106731697,0.4386345662413432,0.3992046795485192,0.36263960351357905,0.40997016710871126,0.408268848673699,0.4620375850255747,0.4636631243663062,0.5710929422985355,0.582172550098399,0.6391613932949887,0.7892524548376452,0.9471529318824271,0.9972811778865245,0.921160082139978,0.7296007305898581,0.6285782850211705,0.547538056309433,0.5097699942882291,0.4282722502160334,0.43496921809418154,0.41277560329617513,0.4263447228760627,0.43103633756702564,0.4472149539040313,0.47535157662596894,0.4955078885410165,0.557626704150822,0.5958297280929771,0.7887311376489559,0.8935598181919261,0.7620370956662944,0.9929306332475122,1.4858084851064932,2.022344952888858,2.9455068818140715,3.6946131365819266,2.61743040574404,3.172387987756547,4.1926364087275845,2.7647531071946325,2.395065432452751,1.840145820586372,1.1788863527388334,1.3801139998076541,1.1471248409623138,1.0806643020257984,1.134403375828202,1.2282807262382176,1.225631796758251,0.8087182084420723,0.7389754602901119,0.6196976439542782,0.7436925906375162,0.6890771619489287,0.6625017111858823,0.771820285555165,0.5483365749692862,0.7160720343802263,0.8626837708712772,1.1052292375192,1.3659469239643036,1.0214128700801073,0.8750526821769379,0.6976430447609917,0.8447117054125519,0.576156473188228,0.5172031275419775,0.557155931740353,0.638093338710825,0.6172213403346642,0.7083170908010848,0.8859250676089018,1.0021497380226063,1.1165090566700502,0.6108186345734484,0.5922029477691901,0.6610974510086014,0.527309569570106,0.536197487870871,0.5303935298258508,0.7730540232959857,0.5843372722377782,0.45619518849235396,0.4273459785432239,0.5322797553282382,0.5761651559525254,0.43420068359188646,0.4180848791939166,0.4950344729438716,0.4293349544712108,0.6071607111061234,0.4670198679828565,0.5329837419578524,0.577917259272808,0.6030022172395063,0.6995860340492458,0.7338181745164718,0.656470603745289,0.7069142525231484,0.547186231887758,0.4921025746377635,0.3971181071382831,0.43958006275556677,0.4085708549291955,0.4552231258255588,0.5264518212220232,0.5691355724990821,0.6693180901521215,0.5215926867688944,0.5566597450820344,0.519111964485899,0.5268020762975201,0.38772874469967333,0.355964700704491,0.45224433484689514,0.5336075775035493,0.5531397423784594,0.6012652133716212,0.667987175717767,0.7528888311755962,0.7674543409309167,0.8035148400957834,0.721082689991313,0.7835903587016353,0.73907238982657,0.8621870365144024,0.7180442323818103,0.5823392868184601,0.5627586816939709,0.6437128563525786,0.7951731403249572,0.5897697429720795,0.553849527380967,0.7016553325671938,0.5249805988259816,0.5167416782356317,0.4605454594775807,0.41347779078022256,0.4140999590388816,0.44413138931502333,0.4006910140973669,0.6267725329352011,1.112540446323349,0.8905349777205147,0.40547009146894125,0.3838693172955443,0.42690062610221435,0.4236335011588136,0.45998129700925794,0.537160800960333,0.5276658640831329,0.5707524176690585,0.6276827387281296,0.715541111708492,0.9429954958230663,0.8852815018501053,1.1765601490268496,1.2504785116345418,1.0089537753901898,0.8325764219971963,0.6726685546645566,0.6492027811996007,0.6090765798522363,0.546967572582141,0.5278867106141713,0.5646080980965767,0.5903569701602454,0.5929404766422631,0.6182949073967744,0.7430730796625024,0.5555757859017582,0.7443003436069698,0.9852650089593724,2.217311068994902,1.8086525370229842,1.9532400329312258,2.057909474031103,2.2016854174811886,1.5249549378200815,1.5074957924081316,1.1033197524619422,1.7277576994310697,1.4486282592324538,1.34570905107277,1.2659051574738587,0.9642268434198138,0.9133385556290676,0.7992192461598394,0.7553612959880504,0.623233109246325,0.5395818183801805,0.5487660893280245,0.5268544951930914,0.49084135549903274,0.513655910230911,0.49488707139550037,0.5296600116528404,0.5690833242278975,0.6741117456405559,0.7536120275848905,0.8120053850301694,0.8728640177048074,1.0266841135166482,1.0622503509323904,0.9732118274446158,1.0516592594952385,0.7906342816949021,0.668294384098092,0.7254938150676764,0.7015559606855424,1.1225831253563017,0.9443694797809684,0.8561876571423448,0.8423951527790564,0.6895335335249162,0.7966195909742212,0.8265286332689246,0.9520108727426206,0.7684534656561246,0.7287581800838961,0.8305999710928262,0.8363413845722031,0.7819114446478872,1.2488012206745271,1.2886327635255492,1.0100400338787605,1.3437898887663815,0.7875892011333878,0.8775326783775931,0.778780970659396,0.6964331266408733,0.8191049786364911,0.7926060416049611,0.8665083774212076,0.7562925808861536,0.6704798325445218,0.6982298088009112,0.6963591854267351,0.5459593938160828,0.6029525710645192,0.6993486903661034,0.6110238107509295,0.654730530597464,0.7660668987818298,1.0020587720535377,0.7515584436812319,0.7329344412302001,0.6820076467878117,0.5937796019254756,0.5556910949539807,0.5722636902878299,0.5904239941841813,0.5444979944224503,0.5609148207944331,0.5881210260318219,0.6150014660350938,0.578572034272189,0.7159768320585647,0.8277322918662229,0.6598739158418806,0.888576664293932,0.922231430430849,1.1295938258758025,0.9717528891035672,0.8091058314755533,1.3333044134043803,1.3530399918539366,0.9524189775538148,0.7828997480639156,0.6410482249999625,0.7544355392795815,0.8530269343398957,0.5967142702176633,0.7183245525180642,0.7416455676529286,0.7012682315926472,0.5886814016528391,0.6698198549380904,0.5861099997929451,0.5175334384056779,0.5360193131037463,0.5043094513665087,0.8543562257376112,0.6088704428488481,0.5160224733468767,0.5700282037371468,0.8016940197280795,0.5453449760361926,0.8975758606947831,0.7210314821757713,1.7297496733463011,1.9573221424532017,2.69680151529647],[0.5598251515725143,0.5456755959940995,0.7583386796816998,0.4290911386201897,0.5798324208198193,0.5046835429865071,0.40178150590913153,0.4001942728066013,0.45619268424939097,0.3840716892771796,0.38587583121747066,0.4568455382270098,0.43329107237608416,0.39529133244540865,0.439022141496376,0.4383500078167512,0.4956075835070642,0.5067611153046926,0.6027974689684958,0.6266464461600119,0.6847364027829373,0.8350753121959469,1.0493023669636135,1.0604258963583428,1.0086977732479394,0.7707815833807687,0.6627601891941106,0.5846880749950902,0.5450240313495951,0.4690338428455475,0.4746637300619232,0.4416023163108134,0.4673152487977052,0.4775446023538158,0.48698369438032085,0.5273871991002593,0.5310247203323734,0.6020897543676723,0.6288978178366351,0.8334705916360945,0.8933970206218212,0.7744737472783033,0.9958161911745358,1.4588495006720048,2.0133128291216367,2.856788217790526,3.7154762854910617,2.7136732351075543,3.017570786890118,4.1899629621200996,2.7971554775639955,2.449592267601863,1.8707781120292757,1.1751514662994311,1.4586004263345869,1.188068957437181,1.094772182596451,1.168830092516717,1.2650057576797902,1.237972127666952,0.8581856140090567,0.7806964147952838,0.6597040878066748,0.7837916717119346,0.7428122378066537,0.7081051573781598,0.7998779286890951,0.5935177722902715,0.7205602220200548,0.8851262859244956,1.1371609156910638,1.3972153329729817,1.0290679856796032,0.8985134271482661,0.7224012722477439,0.8594460166687986,0.6258436107342426,0.5565446253252696,0.6118517608059179,0.6892186102920431,0.6905199503982605,0.7805005550947273,0.8769900723592535,1.0987286829298843,1.1180805890003778,0.6720959985685581,0.6470362263920261,0.7269064781135379,0.5712213621116803,0.586128035845514,0.5711964140672,0.7859409155383674,0.6221757239020858,0.4915364374980208,0.45568065325309576,0.5362975019528623,0.5924732344238187,0.46147649591246276,0.45063970638869943,0.5356882687774254,0.4760652070069292,0.652429252338034,0.5335740448093143,0.6014931829706729,0.6299649746214623,0.6765830897718507,0.7738601278474161,0.8142068074884723,0.7327387718315509,0.7476335692889285,0.6187400137655343,0.5567441417852735,0.4429326816146156,0.48105254190529584,0.4456636631116805,0.5015780017689373,0.5600936172440008,0.594400635008534,0.676532901822667,0.545663533553939,0.5708746819317401,0.5630163169155201,0.5706367294490081,0.4286537674412348,0.39021932299390005,0.46560636930804944,0.6165766532744809,0.6100537675739356,0.6754036014709803,0.756829490992777,0.8419734584139807,0.8648737855487845,0.8962364259235016,0.8154842311040578,0.8493654035366751,0.7883806246460321,0.8729991074217681,0.729530788082134,0.5893390412985481,0.5985406424810693,0.6167758788769235,0.8140740935416622,0.6139126554599686,0.5943199044396195,0.7438328046075136,0.5564662932448415,0.5549701566829098,0.48909224299854337,0.4686159865178863,0.45778759454755613,0.5260324924619362,0.4442356139257159,0.6720651157066875,1.0772193399449366,0.8658518468146958,0.46729559175073043,0.4378228063299543,0.49702351812552653,0.4841013991802287,0.548911141048289,0.5967730446178635,0.5619588776990889,0.6127648246036195,0.6843534252833233,0.7788634140852115,0.9787901899313841,0.9446541759389759,1.23755597347034,1.3126731445578126,1.0315272152999237,0.8788154929546189,0.7273297891889074,0.7139815707172409,0.6725220936430825,0.6170105374846467,0.588703766610429,0.6132019672976788,0.6335220024663119,0.6553319557451845,0.7110665642317037,0.8238307390389707,0.6519668284541105,0.8421774303885171,1.0534550490688106,2.3515565126820848,1.7803560724975678,1.9598956755727652,2.0758884231741814,2.1466283034740767,1.4775136667454403,1.401505089597807,1.1518325613707208,1.8883584188540041,1.5947624679435035,1.497729072561381,1.4362809103141674,1.0900807073293897,1.0318384028256389,0.8943919454086869,0.8303565966139526,0.7137932897127752,0.6304004025782814,0.6293813938128303,0.605518570257181,0.5730461888529608,0.5748971819244619,0.5741800112046946,0.6021873937309545,0.6216825502693494,0.7280494590047198,0.8151557896030022,0.8635432358610783,0.9039107908826893,1.1002011321725802,1.1162960618013125,1.0407073524642747,1.070402572213025,0.873225393624958,0.7424276847156452,0.7988105448111857,0.7670767521988369,1.1853107468054442,1.016388899260824,0.905803361934125,0.9329193323382633,0.7828534012573719,0.8500365712310847,0.9291341451450396,1.0312890285164453,0.8674524495918413,0.8373178478261442,0.9784484459110381,0.9465187359373858,0.9106692793105567,1.3566000771601368,1.4242027691797539,1.097550652129869,1.4224816744700166,0.8835999383267711,0.9840086483863143,0.8870994085958431,0.7671798672304444,0.8704442261273643,0.8107780655847103,0.8993147841167269,0.8139322002185326,0.744400235821458,0.7155306989295421,0.7162175392676942,0.5912045365645712,0.614946231456429,0.6762851045607082,0.6294661220466369,0.6831184949736505,0.7621819296594087,1.0116897310469706,0.7924111554313111,0.7804465298389732,0.7412584664497778,0.6551400965207286,0.6217863438193012,0.6615679567621714,0.6497382963344455,0.6120974585746146,0.6454099613269435,0.6686565774507768,0.6846388798760695,0.6508712385508533,0.7953755869513441,0.8795061929954822,0.7055238007802473,0.9436644010007461,1.0063775387355234,1.1410486194404903,0.9941777617873105,0.8176026942793232,1.443539789728542,1.4023684852542706,0.9999954069031547,0.8893118599922498,0.7219791616681205,0.8645230859989771,1.0301461291274931,0.6718110147703021,0.695457918393024,0.6726480306409359,0.7105430507136759,0.6506315677127811,0.7517988260649779,0.6562898717076788,0.5888530494433577,0.6013764752429616,0.5739623393162673,0.7499666892124004,0.6434578905479224,0.613627216230216,0.6302762080257296,0.8017691993946174,0.6154387831191013,1.0116710768418085,0.7272894567197264,1.5306248595183685,1.6812943117856542,2.5613752206924523],[0.5183940057457679,0.522451130854047,0.725786686830326,0.40551573085311005,0.5700841559717094,0.4720203949784444,0.3854637919001019,0.3989682839052312,0.4649645456086738,0.43405612285463185,0.4433768798296532,0.49297416678453865,0.5170115954754393,0.4997392079436922,0.5745458886850826,0.5725388689485449,0.6315157487373928,0.6796441752464469,0.7847183692256678,0.8228408352913253,0.9078431326893721,0.9708034410947253,1.298888048950114,1.2912351532845172,1.2460317610001193,1.0030437523889162,0.8979029321525724,0.7668947534016183,0.7041304501377948,0.586498127900888,0.6319925221776277,0.5418086954671725,0.5627612203962579,0.6286216949957132,0.6315745494202096,0.6906636055750816,0.6446049696352963,0.7346238904357367,0.805070479581076,1.0027745432882853,1.018763962931544,0.9434064423350896,1.200149514247365,1.649699467002622,2.151555908493496,2.931632218120829,3.898082106521854,2.9562062555663924,3.120312202110761,4.210525084288293,3.0014824020826745,2.6025311958418023,2.144060401035147,1.4181891105929427,1.6551934817142184,1.4643291860550567,1.342005682797425,1.370233022583053,1.4288811561554202,1.4622109151894607,1.0208163257634577,0.9557022704086814,0.872548093872758,1.0007591648001963,0.9364693874108085,0.9053223803004026,1.0394037744153382,0.8121896645434298,0.929326783581288,1.0561560065408118,1.3035669728297175,1.594303244719464,1.201591036930785,1.1116060876320037,0.9287569711846364,1.0872717598238206,0.838852996372104,0.7715032354515243,0.7876289743465628,0.8589121921856873,0.8351523611372315,0.8960561848544506,0.9661946172330076,1.1686026460648231,1.197705335466441,0.7921824950555229,0.8193425028419513,0.8323226833991204,0.7568922887412641,0.732108042654887,0.7665089499534121,0.98313436733436,0.7974701674143253,0.6550115758590693,0.6046784258871198,0.6801912573969315,0.712361151961036,0.5426551791625648,0.4889008183572747,0.5368884376618416,0.5385411383818037,0.6488527449227521,0.58803717401842,0.6071308248302022,0.697219140414606,0.6835259593877778,0.7402836036801965,0.7806638741322357,0.6918215267876828,0.7012124764430394,0.5703816606937006,0.5585966963290969,0.4617431685022137,0.5038134801110178,0.5320560504781161,0.6173067590280763,0.6990450417135402,0.7821260676107871,0.8974038651598544,0.7114599245765321,0.7203588383744166,0.6627120881883971,0.6639930208330102,0.5136546784139219,0.4446071682153562,0.47541491281538906,0.5675619895551707,0.5889766072554153,0.626263326136,0.7324666370890587,0.8012564772809354,0.8438314484673909,0.8902870211068215,0.8144486377337347,0.8381079656828714,0.762993122052778,0.840121078698033,0.7527415474538077,0.672215773290633,0.7125318497488571,0.8239042532190379,1.0471495340582235,0.8307122840900866,0.7583480009864481,0.9281754811005096,0.6846182815546238,0.6588055225084142,0.5715650264826969,0.5186590833534337,0.4908974501869269,0.503010067521222,0.4441302542245155,0.6371533173158217,1.078291411123501,0.8849764901014824,0.4723562766352207,0.4659121236209592,0.49770668879823915,0.5241420473257994,0.5890863168561274,0.6571766556296301,0.6691692136964256,0.7141679179624287,0.7780920992075088,0.8540281040787865,1.0834159243136159,1.0199416523833407,1.3037198249730624,1.3317824336028445,1.0284841901140642,0.9084307813046261,0.7815669450667541,0.769354899155659,0.7352481058417619,0.6890110072462793,0.6535449161041155,0.6808642824870877,0.6972743709357256,0.7460941755740287,0.7707982397861873,0.9070666291994613,0.6847612956536584,0.8628565196463546,1.097219687408454,2.143503882496251,1.7233478274075513,1.8574712706237686,2.069113517348756,2.085903274923116,1.5709947974419385,1.5131379160160026,1.2206178860270256,1.88950498160201,1.5764018445867456,1.5427808699113597,1.523150460457134,1.070023153334793,1.0066546467447282,0.8602495012987231,0.7843807935123231,0.6842685026626548,0.5888572674266602,0.5724922832689961,0.5652026071783379,0.5446685647310903,0.5447131764577129,0.5630995436027811,0.6068384582833171,0.6099244248007275,0.722393999822946,0.8261539109035351,0.8779117352004974,0.9091838314933717,1.1160240104442605,1.1438692227495608,1.074986202411783,1.0998588841965362,0.9401805652803927,0.7827042029757286,0.8395810022876851,0.8181501939878475,1.241525962923708,1.0772307912845034,0.9193126001985109,0.9570982843454758,0.7959113243492437,0.8264047750667122,0.9388900713807992,1.023562961347408,0.8761778358369153,0.8422210444681126,1.0082863628526109,0.9655781997205595,0.9178311370200012,1.3892625980765756,1.465064262044659,1.09984125584096,1.388337165632346,0.8580891307084361,0.9813297732378018,0.8854954016216902,0.7562711211468437,0.8593437535086518,0.7909688259302964,0.9001067880119096,0.7985046122772363,0.7329711745471171,0.6872138239475232,0.6750458918139396,0.5492668465355127,0.5755475594596811,0.642348815184042,0.6015530374800491,0.6633879384078919,0.745526235961009,1.0035091746558609,0.7950056349426793,0.7847057667903632,0.7482149010111646,0.65082525441693,0.6143579969335806,0.6663718511660008,0.664138325185939,0.6177491617832103,0.6465402879264988,0.69138783584991,0.7137536059900403,0.656071787263526,0.8230609516922825,0.9206182524491319,0.735468106605252,0.9401732229192813,1.055228913617695,1.15865682500776,1.0223878873658865,0.853242879770235,1.5443777834540802,1.438718241007714,1.0761942036601735,0.9498847478336806,0.7642325200853611,0.8815591344565381,1.0527144102446964,0.7165511407376896,0.7192335189965888,0.6223933011710151,0.664736194377453,0.5913630767087978,0.6882284952463996,0.5855076240633371,0.5383974150207116,0.5442551100847743,0.5183092338409601,0.731941572411954,0.6019513522316531,0.5766084093537862,0.5960795782295003,0.8114237669166211,0.5766809779465186,0.973083806715522,0.7079728380930614,1.6097011460044095,1.7854634927089938,2.703564916254403],[0.5732527240006328,0.6127651380183162,0.87055338348026,0.5236832623338519,0.6583584023004027,0.5564197788478653,0.4890154776995749,0.5233842063691533,0.5556038670932085,0.5200677627306145,0.5196077739612107,0.5772214721945482,0.600825652747102,0.556463045471361,0.6242469746574807,0.6304351969317804,0.6655272506827873,0.6843624324770493,0.7470592539445257,0.7985432847858549,0.8486678280016805,0.930756419193262,1.201405270351677,1.1922885333417035,1.1692209431494671,0.939999767690103,0.8703103245108891,0.7683830909523044,0.7245810672527703,0.6414613857987417,0.6630422346855053,0.6146503539851262,0.6294239724115902,0.6695137383819421,0.6820955034485288,0.7209287956246492,0.7005078936062634,0.7512301838772627,0.8227805819079338,1.0160440676134503,1.0233103091123428,0.9254815138002895,1.1725199894673695,1.623363614112519,2.109704307277863,2.955154183465124,3.8264042457068954,2.8524027998964208,3.193592863964953,4.241749063946696,2.963379566379356,2.580564290175484,2.1084726437320866,1.4241683219211563,1.632613039685837,1.420013443856468,1.300048771683184,1.3484763887601345,1.4072164852339304,1.419128684216203,0.9750459169373041,0.9175331754566634,0.8425212369043947,0.9340570275884199,0.8753370353797799,0.8707004535026797,0.9753377995612461,0.7814900324107521,0.8747489596807606,1.0314058455107964,1.260090564614773,1.5333454111988654,1.158697276651425,1.0477177446366583,0.8995438282827088,1.0506797072936762,0.8152992998392755,0.7638725809159631,0.7886818456999216,0.8616451747512769,0.85670842636555,0.915863863249885,1.022763027994366,1.1739476498027015,1.2310123773392718,0.8321122321794024,0.8370868193474624,0.869698382748177,0.7711739576888559,0.7605634865740631,0.7751501786674515,0.9794378290300861,0.8111839661736634,0.6921970188641539,0.6495291833299403,0.7146070436938401,0.752854432166437,0.613840944029836,0.5737749901821524,0.6206420942258936,0.6401345712042531,0.726042235583794,0.6794848676205931,0.7036918180470817,0.7912345029463679,0.763512487943253,0.7943720323145923,0.8063780242946796,0.7417163309020299,0.7722494893905575,0.625405334815885,0.6514354557778008,0.5760964273544152,0.5909508698454552,0.6018203544432018,0.6655095190322242,0.7182621286238464,0.7645465061238237,0.8367481880285206,0.6992057820278296,0.7063269588235677,0.6796446289471564,0.6798830151482241,0.5645494448244605,0.53149920716284,0.5713455246290721,0.6236051660174486,0.658997013535647,0.6862813955795969,0.7800490439292346,0.8239484531654967,0.8556979770681385,0.8982547240210111,0.8475370663159271,0.8659648418672844,0.8094792127189775,0.8936705809868677,0.8286638220862355,0.7413999400493521,0.757290779936936,0.8100891294599797,0.9830651326146994,0.7994694493461291,0.768771178270215,0.9384289351376094,0.7215065776776292,0.7064674558898867,0.6472536851821815,0.6144485003957137,0.5884054014324898,0.5751694960207234,0.5490556151743963,0.698927929094642,1.1142409720440454,0.9373307928356168,0.5778500232091272,0.5755257560536239,0.5924315127635187,0.6211293631192039,0.688137303956165,0.7300302808551216,0.736134133609587,0.7616874401370094,0.8106613266202486,0.866190188407272,1.1043612743328934,1.027875836832008,1.2696412845565768,1.3137852775830787,1.0574124644861467,0.9423073928761493,0.8260090351434461,0.8124596354054897,0.7890033620767791,0.7514924289412613,0.7336812995603956,0.7502107652496376,0.770908718439806,0.8038970815666466,0.8252302510887106,0.9451565807578207,0.7483578309696574,0.8751513823999618,1.0929835164652828,2.0305462270689034,1.7195105716151446,1.8412785286971858,2.0455951601491953,2.1117807400222426,1.601704862866935,1.6126588280451994,1.2322730628196334,1.7725703851335712,1.4806475559367471,1.4702079172821887,1.455115245890099,1.0342359473146387,0.9764632384035614,0.8532058555656127,0.8106050637546248,0.696330285941901,0.6125573345575134,0.5899755384180131,0.5596474758164645,0.5332786257683951,0.5407225258292925,0.5659929209515366,0.5822539154781209,0.581629672107265,0.6933996791028018,0.7846252218931858,0.8084199048032377,0.8320252112641605,0.997279716428708,1.0553946549294004,1.007627368982192,1.0486484726850394,0.8596475538268521,0.717867279133049,0.7537123206113607,0.7213702644003385,1.0850212940793185,0.9829288988618551,0.9314102182820115,0.8949504502864087,0.7425541134018937,0.8259411148947451,0.9354419091416868,0.9730141543338253,0.8579981283229118,0.8369245464528359,0.946521190658638,0.9152624512079628,0.8744553878694222,1.3276224529390825,1.349510288270986,1.0303461415442638,1.3329227884653994,0.8360125541039419,1.0044902062280694,0.8936084970178853,0.7991194889766122,0.8946308845853509,0.8327490100133557,0.9499378697938069,0.8305969577626419,0.7506632641970369,0.7274972968350997,0.699267452966314,0.5559750106612877,0.5642869066498497,0.6330124724189199,0.5853001837435747,0.6110334381546215,0.6791416333832342,0.9156340307739698,0.7155907746517073,0.7015718016157085,0.6708927006341673,0.5962251019661303,0.6064569239409272,0.6430536293755003,0.5951147699512955,0.5870700123827423,0.622440822294282,0.6458325241475344,0.6723277061139407,0.6422634564260574,0.797890520430711,0.8971865038872253,0.7234114656028374,0.8899473502402033,0.9820447128108187,1.0912140959053163,0.9711011065221511,0.8275298177999958,1.4581346036100555,1.4587318750143012,1.0073381599115425,0.9025903759065201,0.7449639175036572,0.8614563799788464,1.0665788914610277,0.7290251081231884,0.6702208457349308,0.6690428164306244,0.650059229966007,0.5915460480047063,0.6967669452242863,0.6077313467895655,0.5575838696863007,0.564983745471012,0.520094277336334,0.8092324683230785,0.642613350857878,0.6074084360021639,0.6705883907599964,0.9027632533085884,0.6613115456671487,1.041608494770136,0.8712588506476826,1.9275373136994138,2.203047890988325,3.078169073446623],[0.8349336169701739,0.8299437132283457,1.0749331370211455,0.7126162397486174,0.7754530436876149,0.7452987586623285,0.6335359446561376,0.62412598197762,0.7015739994722171,0.6594443193421562,0.6564800933048259,0.7033783596225447,0.7062730417720265,0.662428743183578,0.6955029816600268,0.6922326272418748,0.7357236824818126,0.7560558037019273,0.824703491802917,0.8465254744151087,0.8840493441657582,1.0604743408529864,1.1468687551615568,1.1556768585731767,1.0995938892301622,0.9314627325766711,0.8483696544654997,0.8070194262999447,0.7834102080943216,0.7177444577325234,0.7246111465010246,0.6876223835108766,0.6992578447186723,0.7307256292822468,0.7323373089950008,0.7668931412365675,0.7473475612217781,0.8251349315014872,0.8343420037848793,0.9889854138073553,1.0434300027709849,0.9582988829509523,1.1064461030526203,1.4846059688447644,2.020064120717339,2.8304113116509066,3.599641659774737,2.6290352603342146,2.9393870556894472,4.167010469053762,2.7377527192992654,2.4632232550105284,1.8637161010571452,1.2483985948980492,1.545545355119285,1.257042333810631,1.1675839628522737,1.2250820911937228,1.3242118351389083,1.304396263296135,1.047139008031393,0.9654786263476349,0.8525092093319758,0.9867536266588515,0.9540088195411942,0.9147877280070292,0.9270906413320711,0.8134116260229487,0.8693539475416426,1.0338206785708897,1.223639085824712,1.4340909460908542,1.1349220239471403,0.9936555123867775,0.9179720344518167,0.9843011882055743,0.8339403181804135,0.7726924744141925,0.8176190623905537,0.8733047846474421,0.8841706569783467,0.9552315749551759,0.9785444571034142,1.2111415507525116,1.2098831831925911,0.871506389367577,0.8543434164350936,0.9227987794499964,0.7986243700586841,0.8078043180375453,0.79346380727094,0.9612350670171079,0.8296140783459577,0.7331199429169475,0.6978760869420336,0.7396301057771837,0.7916911399841045,0.6868886841880593,0.6799888789802493,0.7191117434045184,0.7045451535717961,0.801444884403999,0.7373298271634147,0.7708736746262168,0.7853906437445859,0.8281476806886646,0.848676158349705,0.8407532387227435,0.7674215785841372,0.7853467147558378,0.7049499973915359,0.7042216043659839,0.6570294902665851,0.6639410183347633,0.7047189821596662,0.7525641227606981,0.8035109997658575,0.7950041589663708,0.8171379584335927,0.7755602977617312,0.7921064569105779,0.7946706905609451,0.8008485663195544,0.7032013683797016,0.654929665851758,0.624094881812364,0.735498157911762,0.7089820125127142,0.7284345908871166,0.8244519923626346,0.8599705045053768,0.8766438316733283,0.9173421710462321,0.861682719319101,0.891021821007755,0.8457707373291381,0.8856619266700368,0.8234025091284247,0.7523104573164422,0.7854272831067796,0.7690204900204636,0.9254350045754273,0.7933601761812993,0.7986694652518357,0.9187584960550166,0.7770575071261364,0.775545369474687,0.7022231393277576,0.6789569024206195,0.7014572876993517,0.7022589634782803,0.6669415409024849,0.8199375155882245,1.170046268111902,0.9893661568919939,0.6912863929489595,0.6830143773595029,0.7003145615882567,0.6882157904678636,0.7312257861630266,0.7556203342724513,0.7618688029015624,0.8018977387253443,0.8548192349791551,0.9074361444839701,1.0594506354011288,1.0088263024602628,1.256244355530588,1.3168889152205456,1.0919518861414972,0.9407818904071584,0.8437954898235477,0.8280418445815753,0.8092254215657546,0.7775547741840302,0.7550619231594731,0.7713026329757019,0.7813518946340323,0.8082648761352121,0.8525542100118136,0.950215941949999,0.7752845177784582,0.8980452659257162,1.0794804532362012,2.342203151781414,1.7956678362305136,2.0071360142078642,2.1101661465951684,2.1844554984920785,1.4936513446487238,1.4382416038688954,1.232251787229085,1.8665584798913826,1.5660324708345879,1.4779135742435974,1.4418119837001757,1.0707108991715792,1.0184150406750643,0.8805828685160317,0.8475481145393386,0.7356258908067287,0.6684473163201362,0.6416203788226644,0.6172753762225036,0.6146473180614956,0.6322079522404163,0.6894005718927227,0.7153398265101237,0.6997775309816312,0.8225386132055932,0.9292270785206413,0.9404795181599247,0.9377106698665137,1.120991458379361,1.1913169031268354,1.1738984988984684,1.1673284012662697,1.0330334230427467,0.8593443237494593,0.8846144496611927,0.8228984077285586,1.1228371868115083,1.0587465792831274,0.9980339372140768,0.9685085716779853,0.8009030909539983,0.8454457981216589,0.9614941156036098,0.9915216051779978,0.8820859444190761,0.8640361194259305,0.9554997198342068,0.9292517440007237,0.8866248406247449,1.3249117456868977,1.338399923874952,1.033747620765868,1.3478015023058845,0.8522737209444601,1.026661796214026,0.9241802016605479,0.8303737565608886,0.9267199678936694,0.859254417059862,0.9753940328237451,0.8736332881325726,0.8199103778985511,0.7646765398258473,0.7295319819054988,0.6246731372052907,0.6376615007354534,0.6817538684400821,0.6793515497869569,0.7130343443041404,0.7596809259123002,0.9831678601856576,0.8422879215563308,0.8325269217818829,0.7934561573183564,0.6996747155580965,0.6927926479567428,0.7400923227714847,0.6999597179065374,0.6987620546002026,0.6997960410669123,0.7343022307434981,0.7764598694483696,0.706781787006207,0.8419379269971605,0.9764261758332101,0.8170357671139448,0.9099628144513552,1.0037969882492526,1.1125050707665682,1.0165643144697976,0.94142067961873,1.5269966148555025,1.6166552925324518,1.1930483099504547,1.1372305821418875,0.944161266748236,1.0682935708853643,1.3666932961147715,0.9820813444357089,0.832375590771647,0.7207905165637275,0.6763018474000619,0.6310802597727584,0.7319996442841794,0.6790931471806527,0.6417320323177836,0.6404562811384467,0.6050933013225941,0.7394813813114206,0.6777167957581245,0.7551281625136068,0.7708381912082934,0.8867999338119642,0.8103411933481184,1.2361477771390488,0.955497260746661,1.758182325773025,1.9825233592857952,2.8242041524007955],[0.7242472383117826,0.7190256227546038,0.9919927624541509,0.6046065318219507,0.7208652040338206,0.6387863648212402,0.5155131133467898,0.524965408592358,0.5700906666510362,0.5161174560991632,0.5145689816304708,0.5685043128052696,0.5829243532637696,0.5355539348642843,0.6004080876115523,0.6110960345373262,0.6465283800794429,0.6849058607710418,0.7687900810382099,0.8061474253940271,0.8662831666826103,0.9873236248641999,1.2391283712954793,1.2327993680327387,1.177910063462019,0.9274870967249011,0.8501125242529632,0.7522371001733532,0.7125596039641623,0.6255662435870917,0.6496761884275054,0.5947898931543604,0.6155140656039266,0.6659340057714614,0.6662892289357348,0.7155489892908572,0.6866993726241343,0.7562639625442986,0.8032940907933896,1.0003653110483746,0.9847583041986637,0.9178656966688652,1.141452810099349,1.551687776687334,2.0872530895367745,2.8157252522222045,3.7728971887373084,2.8793285171288736,2.9246728171252765,4.16929225659366,2.92719535664563,2.5772694717967712,2.0653982489427984,1.3362949677683011,1.6739720148662034,1.391605950865954,1.2565246296576764,1.3322661248379681,1.399876265983788,1.3870272171146005,1.006444990943305,0.9305012243225892,0.8368853945396014,0.9725698868756459,0.9253988022349382,0.8832124683594919,0.958649061041057,0.7857612637769147,0.872665690572359,1.0148343619443894,1.2604947261206352,1.525331855733814,1.1339326067544284,1.0604432852572883,0.8853127139593754,1.020511868159197,0.8180983996084573,0.7541866436596723,0.7974081767052739,0.8679733959524373,0.8765002025345489,0.9415483246759584,0.9841274495786663,1.2565546997010297,1.2111990357938338,0.839576728251408,0.8367813707046294,0.8850975902758479,0.7638286575749537,0.7688335102282019,0.7644574951790042,0.9475043591805039,0.797062366233717,0.6739026667181569,0.6276880166231047,0.6859154186063506,0.7336185235444055,0.5968069282466116,0.5708553123300592,0.6140985786457084,0.6257526501824944,0.7266092210011856,0.6866232319611305,0.7261502039717793,0.7898851418139066,0.7998631313904894,0.8399309464128536,0.8652743174543391,0.7907938631001299,0.7629766529700722,0.6640593503916293,0.6567785858306383,0.5630683272952107,0.5616149519917409,0.5751132707076154,0.6364714649883944,0.6888578512549014,0.7312533138694053,0.8073972861853886,0.6814678945246401,0.6874744967504673,0.6740393332029893,0.6705592602542664,0.5440010875329776,0.518907196685891,0.5238183210474204,0.6713606704896357,0.6701422451851927,0.7109867579984475,0.8218656386478072,0.8779367202671816,0.9279507286666301,0.9641103559001707,0.9075847831569828,0.9014228589596442,0.8196530166965647,0.8681389139286745,0.7606513301075083,0.6542103154858664,0.7159211067581698,0.7359084333950346,0.9589823111486978,0.7715767773543366,0.7444108787957182,0.9119363124913279,0.7004313737967349,0.6836987309735636,0.608302171061905,0.5973100645037567,0.5901907956863461,0.6149730027794527,0.5598070896711758,0.7396059628575146,1.1028760778080482,0.89780830447463,0.5869392599557275,0.5769585063335606,0.6121466838364905,0.6184027153406247,0.6951027791055463,0.7216657520994327,0.7040327097766657,0.7396919717776917,0.8065900295436325,0.8815660086012795,1.0703794128453885,1.041507317864474,1.3063534114702477,1.3471979783586412,1.0321645261377075,0.9396743508940394,0.8206910612060234,0.8189395339679092,0.797695723626693,0.7553127626342765,0.731043869493535,0.7415555262132462,0.7569056812206845,0.799371836609989,0.8550375560402327,0.9659251421860163,0.7837669120598245,0.9364943033158848,1.1453179379949185,2.211628275476845,1.7181447042373392,1.882723785239522,2.1012647358936305,2.091608918235046,1.539095736551348,1.4627141947420925,1.2686464624447378,1.9538155413195535,1.632615691569655,1.6150037137171371,1.616097564703792,1.1423404253071026,1.0805884549941394,0.9280418519367826,0.8582469737850519,0.7849859150679883,0.7023837982297928,0.6631105772527881,0.6563272274544674,0.6457547225773828,0.6340150528233738,0.6879749572214663,0.7288595313750467,0.6949606018137003,0.793571843531889,0.9064591587983583,0.9287226763148239,0.9161995797545315,1.1094395491077786,1.1788583972928275,1.1625626250112713,1.1444912449615459,1.0604716194442723,0.8800997252090484,0.9123204377144275,0.87367132964262,1.2254809489999918,1.1392141659720263,1.0222644819523137,1.0431305642630997,0.8928820433420543,0.8976987652602338,1.0331163392009728,1.056720689772568,0.9643967306707744,0.9485873037619296,1.0826010236879793,1.0305840782413085,0.995400312413589,1.432483531494499,1.470840073655904,1.1283405136646407,1.3871834787110429,0.9211101680788436,1.0834598430305968,0.9902712065230261,0.8764421406213352,0.9533208860193888,0.8822231451251641,0.9971995681749927,0.8969869628552195,0.8577676588078939,0.7744225248486825,0.731753340634445,0.6331786072550784,0.629924973945066,0.6562680520940468,0.6579742585584653,0.7108990466157997,0.7472501040497761,0.9775078656679619,0.8327402649761138,0.8367910022146312,0.8107280650168553,0.7366099012692076,0.7281792436475802,0.7842525140945246,0.7415731023210872,0.7215543282368606,0.7519671766270077,0.787304521662221,0.8171235883592236,0.7619152036260961,0.9153047072017964,1.0247114740721164,0.8533664307098433,0.9685355138761776,1.092968695254024,1.1497147544045718,1.0547680043532381,0.9497654670319439,1.6468251599307273,1.5940121101108837,1.2235599073864991,1.129255812314924,0.9264467646142435,1.0299106889203047,1.3107274770486879,0.9537838372503376,0.8312301938062902,0.6845255603404969,0.6947966274680125,0.6493355587566988,0.7509672430923475,0.6637737890446208,0.6327347807299731,0.6308912108097644,0.6058720790560814,0.7109550786276901,0.665984420721466,0.7288823978422901,0.7378836174897023,0.8802251240691791,0.7481643262031621,1.1838774816883293,0.8885270859801809,1.6832239765675536,1.8761476335950695,2.8154854034597916],[0.5922540873356748,0.6348623258604476,0.9483039139168249,0.5690599936895574,0.75346549488251,0.6386908865822156,0.5751975323753925,0.6331976353833291,0.6432257048285674,0.6487347983323842,0.6524382858227276,0.7020052271372336,0.7737649658622289,0.7163536828428988,0.8200771203695584,0.8435966380879548,0.8857303526679474,0.9324195289535255,0.9919119047292526,1.078932824459175,1.1457480254174957,1.1762270452055594,1.5212950274441337,1.4750708126173124,1.4700007051517474,1.2222690860829524,1.1709842038878526,1.0294044992037177,0.9746657237772547,0.8818400076097235,0.9014832851952378,0.8490969635190171,0.8644701403731244,0.9302585858981145,0.9423910210465378,0.9831842636805587,0.9644355122357092,1.0291523907184548,1.1200946864508259,1.299038611651643,1.2348948794902186,1.192630585163203,1.461701888648185,1.8460977866450554,2.279777544907077,2.9707109830162195,4.001648414004277,3.1648861841190796,3.19391907022541,4.241074642033367,3.205583534840864,2.805555476385822,2.443348705370651,1.7098754648182606,1.9467838869988654,1.7756617702951465,1.6166246942678815,1.6386063584146018,1.6768665170854644,1.7071909195976314,1.2509917342386618,1.1960087039100502,1.1387228721840839,1.2297494617355085,1.1532018603617356,1.1576256347081408,1.2507258901900276,1.053533206879482,1.1103074111150726,1.2195449539443648,1.4445622082142522,1.7259719245831842,1.3356474051432208,1.290128500763846,1.1436017894815869,1.3051719267658235,1.0933116962922644,1.0485245289673488,1.080496004074234,1.1547453695707701,1.1532434088234722,1.1972314273435145,1.2451734056634798,1.408508824899742,1.4138699321656845,1.108649375593591,1.1402339475412366,1.1290495308473019,1.05652854434254,1.029637438440462,1.0348900639518595,1.208839596594313,1.0499520105241904,0.9327400110261652,0.8739395317463574,0.9038079805596901,0.9287631446592406,0.8110452235341022,0.7457785902621764,0.7538330890526479,0.8466226200660597,0.8755799365872389,0.9114903568565632,0.9075806122414076,1.0440963589589074,0.9683742844960932,0.9598753104050022,0.9698942051126355,0.9006668951867463,0.8766090604342569,0.7483706500331655,0.8090297492445275,0.7245225917888433,0.7578919244464994,0.7748057869465721,0.8550556388392753,0.9239892119356082,0.9870305690821582,1.0789108954755091,0.9258299358145268,0.8944182725318965,0.8281482638411082,0.8122802540326524,0.7020762232525973,0.6627256474952246,0.7256926029696474,0.7440560314905844,0.801086758999639,0.839022378543094,0.9614945514097087,0.9863143537587985,1.0399689681820505,1.1030401422820957,1.066828243231824,1.064080972067325,0.9755909626479986,1.016717462313538,0.9615593115474586,0.8850935427063161,0.971544468644641,1.0424347916696988,1.2492547293603604,1.0738527681673666,1.0253510960462344,1.2177572602243047,0.9639538524020662,0.9287294905275111,0.8588230169611901,0.8201203716829283,0.7504693443733991,0.7224563743418292,0.6728588375797796,0.8013454917072346,1.1251573498446132,0.9879010611151787,0.7268557219126174,0.7493073130027039,0.7659224744327577,0.8246410643827929,0.8972449967188383,0.949607553993386,0.9774086560731978,1.0120887269547922,1.0643338557392534,1.140824907717718,1.3410944338355775,1.2898176799625896,1.51782153311443,1.511963976223762,1.2299566838323304,1.1615808282118398,1.0541372272462681,1.0656762883688256,1.0451465221869076,1.0095037087138776,0.9831357196894538,0.969853422353247,1.0022517242362565,1.0627768924378713,1.091910182000027,1.217584009577929,1.0010808745282185,1.1190093369435594,1.320018701525503,1.9394042070001976,1.758341982006007,1.8145811669377436,2.1199423664375607,2.07452006852735,1.759946613321962,1.728327172825771,1.4170618920521485,1.907243320952734,1.619808336761007,1.6752720034281317,1.7138209622556375,1.213807326187545,1.1398248783419211,0.9890496498848523,0.9373325180467367,0.8390755136303973,0.7549246986729164,0.7133051653382091,0.6772719433455396,0.6492835269139093,0.629909299273713,0.6659549361126902,0.6826236142332662,0.6508765818166082,0.7364761043948398,0.8293305104999769,0.8450802451194067,0.8424074573955378,1.0202100335571005,1.0898106441585542,1.0681955350267964,1.0739243430161998,0.9667242659400032,0.8040231710035265,0.828451304706098,0.8162552641746645,1.1595210085675645,1.0929422535960862,1.0136349567907943,1.0215731824484733,0.898270067311714,0.9386463360964242,1.0957977290894974,1.0894666214856785,1.0048795386731466,1.0180996376591298,1.132131524064463,1.0683394967973292,1.053033917478724,1.4777495640520961,1.4920006175014555,1.1715199580487379,1.4090130500101365,0.9741295225482435,1.171640761270161,1.0676392468513127,0.9499429898913466,1.0287246973639255,0.9455522030958377,1.0589831106682683,0.9499681221008913,0.8746328466994441,0.8175951526402152,0.7781990614596697,0.648392007037744,0.6249211138927058,0.6567245210850383,0.6349049183162012,0.6617839415408806,0.6957940758807939,0.9180908825710508,0.751452277278502,0.7476302155797657,0.7310329073479235,0.686727749751792,0.7220449304980678,0.7783389973799424,0.7026495043564065,0.6923290744323969,0.7592816334565963,0.7726936371863158,0.7863776834623671,0.7740848108772607,0.93157729546012,1.0191198278665843,0.8453415404299496,0.982524562099411,1.10259557980277,1.1466005330656843,1.0435039823836088,0.9141636106286036,1.614039996855757,1.5424732324985058,1.1398973097211476,1.0162783068884258,0.8452299992048535,0.9348317032834684,1.1789940728415556,0.8593102763308842,0.7743509302996097,0.7302700268624467,0.7182843725600451,0.6801722517250748,0.8098697717005111,0.7166140663604403,0.6490024451960329,0.6650755965984374,0.6080040650333368,0.8157217837879615,0.7021690107792428,0.6868318932631959,0.7270015097066462,0.9500077087611298,0.7138086314834965,1.1035102513102593,0.9197634149343468,1.967751866970006,2.251153722307967,3.212330479174139],[0.8113753113970542,0.8637610746840066,1.203486716895391,0.7664688672336168,0.915822623320081,0.7859191937469772,0.6675935424719834,0.7169760494202471,0.6790794899995825,0.6256564140506246,0.6169421638739235,0.68701602634566,0.7116782396713399,0.6423212744619528,0.7207222771344706,0.7396243371307566,0.748889563032531,0.768379132087173,0.8192313484733904,0.8590662414094463,0.8896213924453928,1.0022751793084812,1.223438033438363,1.1996792592664567,1.174259614598536,0.9390256233610851,0.9025565198724536,0.8255486967919733,0.8077568386580504,0.7536018740868873,0.7557243063079948,0.7406776272736566,0.7509328806355124,0.7801820746172842,0.7890318568843967,0.813820722906437,0.8235831089319884,0.8384926298721799,0.8980818589994786,1.0819370128759447,1.033532751973459,0.9609828738498567,1.1942926776898863,1.595385614649404,2.0886621929677256,2.864181297235706,3.7437201440133423,2.847269131032881,3.061118386268354,4.232573230388877,2.9544597367847265,2.607169448433428,2.1261961570116648,1.4278731552623856,1.7167172949041587,1.4414052545510458,1.3005468019834499,1.394439570511371,1.448910208807333,1.4041596778382206,1.0294790647344123,0.9601670914140967,0.880594652891825,0.977531134828901,0.9369872724833788,0.916057020721953,0.978741315405284,0.8403820306587968,0.9081045871679841,1.0610660609786486,1.283134780654308,1.5295911739594734,1.156870965386748,1.0922244374909702,0.933326751321248,1.0663884165489437,0.8705206987958171,0.8308174357187003,0.8732487015708216,0.936903096048879,0.9657149353420716,1.0147984611912517,1.1055273389687552,1.2975602448017862,1.285784103825649,0.952015752267556,0.9298972646302757,0.985432280530421,0.8491545410127878,0.8598220365447565,0.8483677994926897,1.0243033201969978,0.8987901614288732,0.7943780790737414,0.7496741495032737,0.7934113193997075,0.8416410665323835,0.7382151879386903,0.7188757631647056,0.7589450842803428,0.805019227397908,0.88590899368521,0.8689590869300633,0.9188336099684303,1.0328369266376238,1.0070584937924982,1.0191819169743663,1.0350718958415692,1.0104091154867152,0.9609539657538838,0.8574029956898402,0.8506686145084573,0.7656032739957387,0.7347147696659433,0.6987654996362895,0.7374832806809618,0.762759642769507,0.7885229183216551,0.8336256578660429,0.7450955699017494,0.746930490247364,0.7352929301214965,0.7273956713262129,0.6239257065847438,0.6456653243218657,0.7247544594156508,0.851702527513538,0.8699729476583161,0.934433982019861,0.9992377952849498,1.052596993078192,1.0835710501309848,1.088290271600468,1.0528436029511252,1.0447052901495781,0.9717310117301651,1.0734077691195525,0.9386347517395308,0.7856276512587482,0.8277776584303921,0.7800997085582316,0.9483964805639703,0.8107966024873753,0.8212699618431952,0.9992051360920403,0.8018853470822418,0.7976389935319612,0.7700801816634194,0.7862920066682348,0.7571347885130918,0.782368158012735,0.7314600678260702,0.8709690705054227,1.1425836062163315,0.9887221962448903,0.7558151318190709,0.755502403173727,0.7942530018353852,0.7919570236118156,0.8949592525393145,0.8922962449211531,0.850656703328819,0.8646836333521957,0.9032722912884177,0.9685817540307713,1.1643947670327892,1.1317086371482927,1.3181771700670972,1.394664829540254,1.1429045084529694,1.0876381498467014,0.9609889808821731,0.9550415943938922,0.9462957080724115,0.9062230862705638,0.9095639093739943,0.8870876301579396,0.9136762505510081,0.9408560337726707,0.9993153713621941,1.0975978779106632,0.958509739353351,1.0438820112214955,1.227293013811309,1.9807491194798603,1.7059364499908805,1.8131167902718353,2.0381998865676967,2.067940380818889,1.6023372452126972,1.623010685735666,1.3063481336218237,1.7926915254257032,1.52094363839883,1.5848313621660113,1.63586222803994,1.2307739663415171,1.192608457912633,1.1155798852639296,1.0707597544543526,1.020396994114495,0.9487258625826069,0.9043218862105987,0.9133906703192679,0.8973944918619102,0.8709643728454094,0.9313820797501391,0.9398219186722014,0.9013816011566375,0.9514727565960073,1.0269662590504185,1.0234967544768385,0.9840202998632861,1.1143197353533443,1.1841776547990872,1.2030816941493883,1.2213484900212643,1.1414234170199948,1.0184266396143615,1.0269337464819546,1.0154111807901582,1.2080283745589335,1.2389550141526924,1.2346111505963275,1.1895245476809466,1.0752516562469205,1.1047285368769835,1.2348924067644116,1.2153935240957074,1.1624316022734438,1.1626978878528804,1.240670502805689,1.1875619823924009,1.16201952309297,1.491737972979168,1.4814972530045085,1.2598908807319795,1.4405863800667364,1.118676714693876,1.284593752635675,1.1884347957401924,1.1300634210068703,1.1710885579459396,1.1188564959132155,1.193583501137549,1.10122436174097,1.0631232983405452,1.000776863830078,0.9480672814108349,0.8805132423421216,0.8506236335819586,0.8463854677298476,0.8566857783987188,0.8851912850046342,0.8781266942709169,1.0278804208537045,0.9449444557728631,0.9489751163719193,0.9522825056518007,0.9283369686680149,0.9647600273434302,1.010595410288765,0.9445060530292454,0.9500016724419512,0.9923476130902914,1.010027641998277,1.0281262839968546,1.0175162207578445,1.1231816450275631,1.2193784945109971,1.0976185792961877,1.1476441718282442,1.2383848993220956,1.2718483700729204,1.2051428090387561,1.1399609937200526,1.682412901810707,1.7077758811633674,1.2955300516837416,1.2071729164386749,1.0939798790522464,1.1408764228810873,1.3948956272381525,1.138203638742311,1.0400876861677,1.0605619585124682,0.9708649749848649,0.8963292337451491,0.9726362114973477,0.8651171011041436,0.8653219884289711,0.8360069121575466,0.8056354314110007,0.928587844234816,0.8591084802059238,0.9025084359306431,0.9124774668402142,1.0817444796913265,0.9027551715872132,1.2879086686383932,1.1746737548801087,2.1673279995533137,2.525641798728434,3.501733828872241],[0.9211398171186659,0.9458647669194933,1.3019855433813785,0.8061045107744431,0.938709858596326,0.8255041308420373,0.6715755274949596,0.7122739815813086,0.6736064291557011,0.6093147324611433,0.6024072204608714,0.6710794587233762,0.6849845934614376,0.6281212676574774,0.7098752263353979,0.7247390029212739,0.7351104572882462,0.7758007745045609,0.8734226956896902,0.8754128168869417,0.9317571200688464,1.0789797061628315,1.2750604534845311,1.2688196430762841,1.2028762830005528,0.9681590630319444,0.9043614936549711,0.819067800491516,0.8038385848107289,0.7369804037672758,0.7527061986316014,0.7232551033885781,0.7342707087136114,0.7740694397677264,0.7731389292549081,0.8096329601566351,0.8098752386300969,0.8501689660054572,0.8884848713128263,1.0771060866187143,1.038535121942072,0.9932624511183545,1.2297287777790833,1.6019484634832977,2.1293940595405245,2.8153942052505174,3.73883689419945,2.8960104368999606,2.8783883482219075,4.184376659310402,2.9548584869889294,2.6116107205748436,2.1241939992304983,1.3745350676613226,1.773306534889157,1.4491770203572436,1.3109165629192516,1.432120175039801,1.4889646643620178,1.4227196507647626,1.0925035487382766,1.0089256818987045,0.8995480343383293,1.0448817626499842,1.0178300017755488,0.9475157664767777,0.9983812106386812,0.8598466952626738,0.9453976706438085,1.060569989683471,1.2899411274408812,1.5327280481142347,1.1524875002885036,1.1314972776449934,0.931961968128618,1.0634861701860503,0.8877497865477412,0.8356663097377147,0.8842701615765408,0.9537185363052536,0.9763876299761267,1.0327332153091813,1.1056066795506674,1.3683131792066316,1.2796390409017175,0.9442400971610123,0.9272097305852786,0.9864250405961232,0.8475224413764793,0.8621966669905219,0.8471496426977563,1.0122516637169596,0.9009315296854469,0.7850166481005871,0.7352865616154551,0.7778471799780796,0.8297564708118531,0.7328126315673962,0.7147461734311347,0.7460539575075874,0.785893395609304,0.8819046124338974,0.8585931619110986,0.9124355408261875,1.0079471535204179,0.9976656278027195,1.0358802067375603,1.0556344389667949,1.0382969811268812,0.9751655605177014,0.8748561913119314,0.8378131033341066,0.7430352598626057,0.6958987656561859,0.6645072546663723,0.7055034340595262,0.7443264311559383,0.7932481173489723,0.8554367637335696,0.7519061551340073,0.7601823817424151,0.740705544148292,0.7317472645612084,0.593610407524648,0.6013720555678786,0.668626490089643,0.8593166109362638,0.8579070044075269,0.9307086231854178,1.0075877113217448,1.0764964304678153,1.121218219945352,1.1281464172292275,1.0852123986787257,1.0579074729513318,0.958641538588478,1.0493704849617285,0.8604760562232311,0.6973351731202337,0.7848713667214948,0.8200102327279123,1.024782416873551,0.8469615183958921,0.8213397295909733,0.9802049731627114,0.7888938796566363,0.7680234838195165,0.7289374086762787,0.7510972387886512,0.7337357457889613,0.7835158379136186,0.7232177071899852,0.898606398820407,1.1511655987496354,0.9464764537490732,0.7481786636709267,0.7426426521065027,0.7833450341213472,0.7769026415117386,0.8769352550625892,0.8662185072163537,0.8187317599072818,0.837438331659359,0.8988765550476262,0.9706748246244741,1.1395622647058175,1.1285639812323198,1.3372946665508463,1.4126981446929676,1.095262451217626,1.0682751156984462,0.9327203832590537,0.940469238103112,0.9328079425185817,0.8927010911318314,0.8922523516516875,0.8705847912425143,0.8970764146397723,0.9306364833035607,1.005214810304059,1.0800959344133605,0.9536478269022316,1.0686142677737767,1.2632801313351933,2.119187335836048,1.7065537522940806,1.8343332291774463,2.0929665072358907,2.0810012263121442,1.5668180484427519,1.5240224267482825,1.3070055856729723,1.9322524981625187,1.6255380492057583,1.6688512993248559,1.7312066622442073,1.2827047808050915,1.2470910759785037,1.1738432218675023,1.1126348590604003,1.095978103860394,1.0184495228047925,0.9574266903791654,0.9995764109510074,0.9885703346575806,0.9498129517589314,1.0249566250411883,1.0457364849949526,0.9949358206458478,1.0341089354011264,1.1259197897866953,1.1281916089289232,1.0681663608705299,1.2012249976942069,1.2845721131857033,1.3188134795815574,1.315757714303961,1.2893898370324548,1.1469667995568584,1.1492354201371835,1.1403328967916644,1.3240688612849971,1.3498460940745065,1.3156023023018197,1.2787992469976708,1.1775396279890287,1.1843492019794772,1.3240809926639656,1.3134162660217603,1.2632694810518135,1.2386765877038541,1.3287830670254932,1.2783487938825493,1.252141610800517,1.5859870185785507,1.5763575191187627,1.353804862439787,1.4968686307332142,1.1953358883706189,1.3290313906678737,1.2540025723829111,1.1947397805326525,1.2204986934803115,1.170923662028314,1.2424444687142278,1.1618164276485121,1.1518234961159255,1.0659495175659222,1.0063313101960472,0.9526341799260729,0.921931001231272,0.9081110907726975,0.9358968250618773,0.9775418177945485,0.9569122449748281,1.0987235939056499,1.0480358740139193,1.0608824665585883,1.065694538194542,1.0332028787356478,1.0552760189661656,1.1081709633079637,1.0575962951153792,1.0519574939302074,1.0951887817460686,1.1244394782794485,1.1458276324472167,1.1204918352017423,1.2337831450733583,1.333453448087031,1.2211323193859018,1.2499914276549493,1.3507132085187745,1.3778638624832145,1.3217766279870817,1.2734505452251876,1.817919326235325,1.8169035935665532,1.468760737128128,1.3602543838051049,1.2235550021232786,1.2487644889896856,1.533299307347633,1.3001306350724495,1.211697747682726,1.1569703677126608,1.0685660021843213,0.9563301007151944,1.0176940662674885,0.9029784812382936,0.9164746464760155,0.876720658800252,0.8678425588625797,0.924193298180489,0.8949712337788798,0.9807732996526122,0.964278766276721,1.1023466325152012,0.9595455212495494,1.3734746382089602,1.2082848545848026,2.018640496756794,2.335270730192425,3.286824455127507],[0.8374773250993252,0.8763883220331283,1.2475147824278976,0.7614662382731486,0.9404134403883788,0.8153449188673884,0.7029679755607766,0.769856039997262,0.71745396315764,0.6831098300841169,0.6773281754155668,0.7493261450891016,0.800122019816705,0.7091724263276965,0.8136597103182671,0.8472424308479486,0.8604622896718603,0.9078770727899647,0.9782843986169633,1.035782877137228,1.0914490412535747,1.197993687604377,1.455498370774951,1.4233839590982365,1.3748978905347353,1.125908621744523,1.0930837465369068,0.9771998286048523,0.9549531510201472,0.8953597552384647,0.889961046777856,0.8748443570618267,0.8842363582890534,0.9350527038649036,0.951598783388754,0.9799383201435937,0.9935496385484198,1.0302806193311262,1.0957333630281931,1.2987350121563843,1.1984632160871755,1.1599833320112558,1.4355864299005232,1.770616508015539,2.2380097265528622,2.8081379296321893,3.8729540103053766,3.1229207516056716,2.915406344700572,4.146408435366931,3.1488183549722093,2.775476468731837,2.4182516284271904,1.6370112734976139,2.018990186445547,1.7444772895078993,1.5664337358276716,1.6535332940266396,1.6885638711588802,1.6478405159101779,1.2435259502678997,1.178387997906439,1.091353197834404,1.2139954077808994,1.167223886579604,1.1174083614019732,1.1576034715552495,1.0087060037742164,1.0661480494964457,1.147488194243313,1.368997742061307,1.648914131459145,1.2380082603814933,1.2677882877022812,1.0690576719814335,1.2429223739297528,1.0551551448000378,1.015879654278293,1.0693944706216167,1.1536799072580681,1.1822912772736418,1.2420093832867485,1.2866212868461662,1.5424759560863652,1.4517110202366676,1.1524906982964778,1.1412970618730023,1.1725865298642937,1.0403696909208262,1.0375753641522092,1.0142666572966648,1.1666387567544778,1.0425532479853292,0.9242614632359143,0.8629403851143158,0.8836107549674962,0.9200852170559436,0.8385536356221811,0.8098473428364789,0.8334892929623116,0.9181298914766066,0.9909232606238925,1.0123975859287164,1.0489566024021388,1.1987412740791568,1.1510145215985008,1.1795889325225208,1.1977693652778862,1.1506112500841252,1.0792556698185551,0.9538915735181919,0.9503380502632106,0.8377259925172426,0.8131635699918657,0.779658911355731,0.8225556640490306,0.868595539616829,0.9073516945735174,0.9804915963588606,0.8772449240323941,0.8596175389235504,0.8027016260133555,0.779558804696791,0.6775379689020086,0.6815683496958795,0.7844950003863335,0.9117783152159253,0.9560182362788063,1.0449810834315785,1.1563695144163773,1.2122404247220975,1.2787844938446358,1.3166851212627773,1.2705118283318375,1.2410993824634686,1.1054937393044872,1.191488029977329,0.9978728599638351,0.8163367689810724,0.9251978719817865,0.9369385874130545,1.1695383068644387,0.9955351608459082,0.9716080545050706,1.1699820035102495,0.9535265832013691,0.9215993929336387,0.8824819799197112,0.8912962212550107,0.835479650375011,0.8657588145782105,0.7949596673763958,0.9549162389256344,1.1715853549866115,1.0165617563385199,0.8415789769826827,0.849014277388524,0.8950442307990596,0.9058313773761806,1.0224187844995811,1.0310700275667055,1.0082422399010789,1.0272032895841259,1.0801553746410855,1.178143142919307,1.3248299809239097,1.3627843640947135,1.5583213420794244,1.6066052276621352,1.273046808458925,1.2729327306205853,1.1207038756437684,1.1466425339781874,1.1312124308481581,1.087073798346658,1.0832428592795875,1.0344008293729259,1.073192790907635,1.1235721221643764,1.2062873270336205,1.283716525118323,1.1473028703945296,1.274057761993605,1.4770222371819384,1.9968962012660296,1.7812569503080855,1.8064516631725664,2.1717473021546994,2.0667308056737532,1.7453181756583536,1.6976133711756425,1.4999983469110993,2.043301547693856,1.7438885533432853,1.836307774533585,1.928654917062758,1.4287728655661043,1.3788246255351153,1.2678219414216068,1.2042840470072114,1.1726550786222352,1.0888817311468642,1.015601458615421,1.0310256958678385,1.0161979936026289,0.9608239135210623,1.0032340798521753,1.0270769828620248,0.9815008865355164,0.9968036946433344,1.0785528305217802,1.0836373346053187,1.0233222844203274,1.1547189986837718,1.2405753479569117,1.2748171804582675,1.2684855565146893,1.2517893511251603,1.114501740366536,1.1182686660131411,1.1345015930532412,1.3299196614137223,1.3632853492778416,1.326269811581745,1.3229218317771902,1.2552434869500646,1.2669575745630193,1.4295325970814208,1.395289840272055,1.344884649304661,1.3505156686670465,1.446008887336881,1.3725704460822674,1.3661401855222304,1.7241989643524303,1.6951965210721838,1.449411568111235,1.5977084652050224,1.283317684756038,1.4469570830011615,1.3789393120529232,1.2911520805683452,1.3300972108723037,1.2693723802520112,1.3423256488997657,1.254777718957839,1.2143362051897943,1.134434920446434,1.069422910289372,0.989880070525103,0.9448660113250477,0.9228841788329384,0.9316282187160062,0.9732948934848635,0.9424459065767328,1.0741372616296005,1.01474431873829,1.0337988565433667,1.0449904875360227,1.036815600727274,1.083880973691717,1.1470908542060283,1.0634906945855223,1.0515376670319267,1.1341695805746483,1.144621021987806,1.144591328803417,1.14554483977719,1.2824634760495075,1.3460608107584071,1.220735977849299,1.2942193672103055,1.4051842004320172,1.393254809742947,1.322713583462369,1.2456263008005157,1.837301320790188,1.7677968477887636,1.4375248088755956,1.3016501545683965,1.1710805284274077,1.1950202208210863,1.469341803752861,1.2361836791635643,1.1582070748829103,1.1190995223959868,1.070034586487618,0.9711232836236524,1.0820151001273919,0.9540194398430997,0.9313808733401995,0.9235324534732149,0.9006673763931663,0.9657196333848347,0.9178238458287239,0.9705734499564297,0.959092991311188,1.106052645037341,0.9278749781470832,1.3340975419104955,1.1788616146962163,2.0639421411634817,2.393238847122109,3.401093096592942],[0.8611380106698636,0.9299616944635954,1.319792955923152,0.8524536160919765,1.0660592911483613,0.9312845942014952,0.8461197190493959,0.9335195116360553,0.8404480867218322,0.8098165773185584,0.7951117743039937,0.876977801333974,0.936132309793104,0.8070593950534066,0.912001402840694,0.9619782196676561,0.9662596789414293,0.984704852931362,1.0113795031391841,1.0948198062547483,1.1107619255117354,1.2002885674587134,1.427696362954073,1.375819519103101,1.3796193699962225,1.1496591887359209,1.1688672384016168,1.0703164221370343,1.0574587776629338,1.0279277352293603,0.9865037050831678,1.009084145870832,1.0059680208807942,1.0428101322459715,1.074033388885362,1.0825566431928624,1.1349696396417368,1.1352372058953113,1.2176060463936171,1.4070138691830767,1.2836995947724952,1.2136397893592092,1.480046197533563,1.815574063744043,2.237882056438514,2.896158383955708,3.881337336360498,3.0800140760854537,3.1053320703280263,4.221553692475489,3.1667454811848725,2.815435564925778,2.4747249016209842,1.7489596346708576,2.045784864347503,1.7901903304612217,1.606799361426199,1.684094427794289,1.7100790117090903,1.6778889467466438,1.2496950665796862,1.188409032761931,1.1309622027997923,1.2085242914314396,1.1500307768108116,1.1564173682711556,1.1801768300264577,1.0604155860927835,1.0931387426580925,1.1897705151927311,1.3983992753810595,1.6671193338612489,1.2664614828945355,1.2792735055824624,1.1181989569541029,1.280761015257672,1.107823509066576,1.0844501766704862,1.1463581008733326,1.2214678724763874,1.2807586214915536,1.3375892216774556,1.4040219347216956,1.586676664754695,1.555588302877557,1.282947814728693,1.2474605091394695,1.2832551986625231,1.1299436291349563,1.1265306605209964,1.0948120163588038,1.229956546401137,1.1180438958760648,1.0175237295484827,0.9638300914143008,0.9731421476274483,1.009700746831167,0.958032731576899,0.9406109805847875,0.977293318801605,1.0684756507757274,1.139004835760685,1.1646283275576208,1.2247456513105426,1.3900649447122373,1.34237091980697,1.3502153981870475,1.3574174610628842,1.3076044553681951,1.2403434580058297,1.1172875586088642,1.1264267892723419,1.0107391746879428,0.9913497797036676,0.9243454879463465,0.953249527050158,0.9730051522261515,0.9835136007442392,1.0104523825525624,0.9432880713116837,0.9178767334980811,0.8692492638896187,0.8444323644994299,0.7947378305781209,0.8254062811219862,0.9843434487955627,1.074466313502829,1.1391201347519904,1.2352706788176113,1.3206831205492402,1.3695491849272055,1.4112127734202744,1.4313483595534473,1.400961869704786,1.3909419186931522,1.2885583296080667,1.3833978274312,1.2158981215136797,1.0252755326119956,1.1098312388604787,1.0375818608082552,1.2059661987734502,1.0614245329876426,1.093590541865957,1.2920405523689016,1.0869289373993938,1.0737894993462291,1.0536233740437195,1.0738279401369444,1.0044849892713374,1.030718724873409,0.960536801230731,1.092580950297195,1.2619313271294121,1.1407420490909856,1.0016267507301222,1.0065974196977725,1.070383614824384,1.0669229951194676,1.205657432074656,1.211009580439728,1.1769912500969377,1.2014902255001962,1.2255005180373482,1.3259200514405851,1.4913096698777517,1.5179177384330684,1.660876460148231,1.7171697993480373,1.4927999878784688,1.4558405511222972,1.3165062163479433,1.3233691576489413,1.301841163896452,1.2513927584997686,1.2557647315697458,1.1871222631125624,1.2267625641985132,1.2722717017342071,1.3520721640596793,1.4366449055569859,1.3231481884072536,1.403595310864743,1.5731532898693683,1.8831314879078933,1.8290282659246384,1.8096945629506276,2.135901963337281,2.0537878038073347,1.8420846981313794,1.8793758389309267,1.5777844421459342,1.9325735507175386,1.6959296642345218,1.8201031408436308,1.923121888241273,1.524173475443874,1.4826071698554597,1.3873272858226666,1.3475223502768219,1.300050757620713,1.2307778030012515,1.1678716099161313,1.1564730732291209,1.1412952638915874,1.0910813598620888,1.1125278217171684,1.1188091141893164,1.0964990179533614,1.0912392090209204,1.1383995503825826,1.1355870549813663,1.0799746110952348,1.1727822749051362,1.237102053183405,1.2714414576225228,1.2975934829158742,1.2444850667174727,1.1524162657037207,1.1581652054659068,1.1791303374727569,1.2937404893140607,1.4032575911308782,1.4305012158065564,1.4044634300528072,1.3371222820136157,1.370634183420173,1.5223334220262998,1.4497615582926953,1.4173599806367807,1.4570894119053823,1.5280743167798032,1.4295003109880133,1.4355395542710145,1.7368722921940374,1.6689933491635447,1.4835563168329946,1.6433419932064077,1.3849150689174974,1.5810150021448883,1.497253072570658,1.4281064853427419,1.4715360156483548,1.4227925193342243,1.4748663180462538,1.3847918838127413,1.327080396897848,1.2730408444164272,1.2077623526164332,1.1371301483199663,1.090660158543457,1.0589326693368177,1.056554401345421,1.0865567240827447,1.0472243273311286,1.1338966432138038,1.085596461999776,1.1017732411756247,1.1236723395181898,1.1431505651618177,1.2153326840513372,1.2605157269241751,1.15453045085162,1.1542128417215962,1.2418072463374634,1.229222190777668,1.2192830530213266,1.2440381875519304,1.3485904084265747,1.3941068380771073,1.284618483707642,1.3563290182747316,1.436551788394694,1.4115105536574422,1.3479789404943994,1.2732511536934108,1.7833988730696402,1.7742775356862293,1.3949608084065617,1.2877440688281316,1.2116815185443066,1.2298742245410001,1.4590499498866267,1.2574460552827678,1.177078106890331,1.2345937849025803,1.1660658714908023,1.100715190572334,1.227301628580515,1.1051185295432486,1.076721423501384,1.076115316518445,1.0433513654567095,1.1351842196916686,1.0595921410763223,1.0855457155386137,1.0834250993201784,1.224812905297519,1.0294939819579345,1.3761623352635108,1.3513316221214038,2.3942566509181824,2.8365150816972067,3.90955576862798],[1.1218451604661162,1.1638491902749966,1.536300323554032,1.0368159638099748,1.204245659533836,1.0960029427035418,0.9523950926889118,1.0100293522447041,0.939042867335582,0.8681872264600523,0.8564273306314526,0.9156281752212464,0.9239245720273704,0.8716179372529682,0.933379718617017,0.9423417842699026,0.9297370697750281,0.9656799491034156,1.0759428376321927,1.010056835647858,1.0698767130082358,1.1746610151621424,1.4055379048318832,1.390800574921195,1.307770476238617,1.1003197228640882,1.0314814904350076,0.9673494800224148,0.9715328916904298,0.9350219066573695,0.9493236498658195,0.9286517977621612,0.9406811664554129,0.9425745481927822,0.9494004499118179,0.9696471827394424,0.9961815765979695,0.9925772008606448,1.021476458819955,1.2009713534867665,1.1344630898541,1.0944151563025308,1.3242562407559477,1.6757950626125364,2.1764932878092194,2.855183791226391,3.7129454506556616,2.926754683263978,2.9393130948680115,4.2945594065975055,3.026995511476626,2.707553534990329,2.2048497103693467,1.4629337912395148,1.896580287005929,1.5146255418281482,1.3804917391792715,1.5593182057906223,1.6074649144006896,1.467726360319651,1.1855780587766396,1.1155039010253254,1.0128715306194953,1.1424419135476083,1.1288448293420763,1.0436190873054905,1.1189891051326397,1.01558341248786,1.1445084513817851,1.2162317168700572,1.467321400022355,1.6851496937323898,1.3141748084956906,1.3215892690682955,1.0743530986262575,1.166845699735421,1.0123940819804949,0.9650939693109917,1.010614159145384,1.0866876245179236,1.1229416066447595,1.1698364933057623,1.2824803625277668,1.5303442138798253,1.410407244562413,1.1063274014674744,1.0645446613604213,1.1390544973568437,0.9937948498474327,1.010956347001178,1.0101097976777615,1.140822950868312,1.0740307999713599,0.980455269620373,0.9465426735018727,0.991666729843979,1.0340440694463928,0.9484309334958394,0.9441111043344563,0.9981079268764873,1.0264352946173954,1.1304107677903412,1.097049186980401,1.1776338996682179,1.2879945967369923,1.3001401391748852,1.3555660664125868,1.3907282829124168,1.3926547365776976,1.2887129048684811,1.1918466835451225,1.1262007593350478,1.0260382600379279,0.944020772092075,0.8812286246309551,0.8954533459414884,0.915744020941802,0.9485921376823718,0.9977330987307196,0.9323974714435916,0.9674708406320268,0.951186548240315,0.9439480327618853,0.8283420417914269,0.8549433308289831,0.9496152716512968,1.1552302885724157,1.163909211802578,1.284882746041297,1.3338254951662722,1.4374701506929546,1.476376601427794,1.4474109316481212,1.3863616301025494,1.3641483645910173,1.2467266121995628,1.4164908490183374,1.09765653511985,0.8360365180188732,0.9257117477118266,1.0071175777031558,1.145313693115081,0.9828823266788476,0.9568887746387494,1.1087966330837633,0.9458537776199076,0.934880132622138,0.9435178878319552,1.0038655756858998,0.9896767549877614,1.0669423863501701,1.0089535161442016,1.152356798659333,1.2948984243331956,1.1319274254684037,1.0173134098132854,1.0066625509785372,1.0602058800632241,1.0223982734928612,1.1517198219296596,1.107772235063727,1.0110554426076763,1.007376614443497,1.0451722593485806,1.1315073076836923,1.290635131872739,1.3394366627961012,1.4553599542170585,1.6411358616915979,1.347997640421225,1.3625326418043981,1.1693580833342772,1.1670820960209598,1.1601805289860072,1.1092487670614661,1.1335904667661105,1.0766966756046157,1.1061834724993542,1.124663476098247,1.226603315405976,1.2868985754513,1.2264471331526212,1.2921820966930817,1.4369347688190526,2.060687064599076,1.7523636290974853,1.843615092245229,2.170562856840785,2.10785664308107,1.6930132878583168,1.7248198075274659,1.456988213146983,1.994605332628833,1.745805291242457,1.8336779652574289,1.935560305476179,1.6297469723971858,1.6102705239887094,1.5418515383785212,1.4835811070806006,1.4799093954145088,1.3984750542604574,1.3258103464782252,1.3705147264747521,1.3568018631135808,1.2950831639742475,1.3442832916483296,1.3569281535561224,1.3237925184397912,1.3077664367529167,1.3618494226257478,1.3604831963868957,1.2887587828785703,1.3705138794527358,1.4278373383462828,1.4784763678841528,1.50805929357725,1.4885673386222562,1.406167907637437,1.4140572407638998,1.43200231089291,1.494979942599846,1.5904106404020555,1.6550993878763978,1.5784832163366607,1.527698511285036,1.5472338569360977,1.690322818170979,1.6406029232776735,1.615710853712248,1.6155222680881731,1.6831133432240253,1.5979711483561503,1.6041977854458884,1.8659543114049262,1.799631386159252,1.6454960382959278,1.76528644265083,1.5620654092982975,1.7111422821747801,1.6261408751561182,1.5877523520134582,1.5917331983763745,1.5621195277520152,1.5811670128510626,1.521109714892927,1.5067625268349447,1.4281487423610355,1.3558782103035414,1.320910944837771,1.277603693943266,1.237209541452501,1.2589130712229468,1.305828347009732,1.2502920499197496,1.3107723298806135,1.310775357117437,1.3366691642588495,1.367227402377675,1.3831198841784802,1.4335516658936416,1.4801968524534648,1.4085117159309632,1.4019262292764434,1.4720119262432156,1.4739262560877382,1.4689953112118317,1.4811438977226776,1.5724890671843932,1.6083015412456774,1.5342574343910578,1.571839129464136,1.638962807972561,1.6217698729427859,1.581272282716419,1.5351495377839728,1.9590915757801204,1.9772621715117895,1.6498509098761005,1.526907299268173,1.4632098951894712,1.450732567025888,1.678263811828496,1.5258898615067547,1.4654877790670355,1.501142392389261,1.4211308886833685,1.2978955057512138,1.388478444148619,1.2368658486095634,1.2478330301192722,1.2085280565006027,1.204257142151108,1.219403324728022,1.1961331959436403,1.2790748331960868,1.2433224049952576,1.3681452973279746,1.2103851747916237,1.5716920421419922,1.5278664763930165,2.3587546531546453,2.785510204192193,3.784632166899411],[1.0167411882313468,1.045077532916748,1.4504832365958509,0.8900977272969959,1.073083615938616,0.9746424560529968,0.84719000517914,0.9352897781671875,0.8277373454894751,0.7689515031843998,0.7572842135432807,0.8559716094853178,0.8821527778417804,0.7781377474854512,0.8835474469906431,0.9258678704931323,0.9134799411824207,0.9851216266639229,1.1003493811745089,1.1054585647035777,1.1789127374622947,1.302080451826043,1.56086518765027,1.5661351167361168,1.4511623214817544,1.2030620835192196,1.1363288165844758,1.0296620214340406,1.021686918778361,0.9803091682191379,0.9697006973037794,0.9710047884071414,0.9848903628334775,1.0147759457614636,1.0287084061586467,1.0563801941611148,1.0757217051650227,1.1072151449502878,1.148588989480643,1.3637033601006832,1.2452326278840884,1.217493230805807,1.458575574914119,1.7342804334787039,2.240319597817224,2.7845414770411465,3.7902912836890774,3.0949915002891095,2.728684703007536,4.142373622205217,3.1280093669566185,2.7737425643239737,2.3836187810283964,1.598961148785948,2.1034422948151215,1.7342819149004265,1.5551026802165153,1.7061599862221504,1.7518320790419453,1.6405903487827471,1.3297213219616724,1.2560096592422643,1.1551009232689304,1.3060715719540945,1.276647355331582,1.1933975028250825,1.2149816134512177,1.08452241688383,1.1665133709978734,1.1819994454198797,1.4000861792804338,1.6444928835908044,1.269476170091784,1.3436957092324406,1.113872226092224,1.271738755950838,1.1275163616711428,1.0840151717072029,1.1361906015893801,1.2145331768643353,1.2744245709435997,1.3287691822482923,1.386705079736881,1.6921505175717453,1.5200711781644451,1.2292505032138428,1.2054042759253243,1.260225921606701,1.105710518241299,1.1202404190775104,1.0847845123253221,1.2035201191741982,1.1094213539197026,0.9985300518434006,0.934583003013027,0.9496298867265485,0.9814083213962348,0.9346258921375641,0.9205578422128573,0.9752987399696043,1.0376416510302062,1.1487479419920978,1.14538015070253,1.2150069515869104,1.3557288312954823,1.3200837191197683,1.3822634447822986,1.4216800832538903,1.4176382372202134,1.3027584965037224,1.177055649940982,1.1093890669513866,0.9727931198090636,0.9137083511208586,0.836786432103725,0.8562384947656942,0.9112716610166994,0.953171348835579,1.043182279512099,0.935632577503705,0.9258259209898374,0.8618753495300715,0.8310428247257603,0.723737728896501,0.737583025813521,0.8608144413938086,1.068878098667959,1.1281292408548087,1.2590249342336695,1.3699131171912418,1.4543971136690503,1.5253825587345442,1.5280323705544163,1.4737924840884022,1.4189284635589214,1.2552450412702973,1.3685436012180496,1.0339004008937949,0.7912607470544096,0.9358470251131302,1.022336345885626,1.2740693337226539,1.0725785003643589,1.0119620545164771,1.1921078211247738,1.0165037837247826,0.978086864663385,0.9654453037756972,1.0068010924439454,0.9510229807405123,1.0388097232060833,0.9561219025694354,1.1577415306019188,1.2784296994974547,1.0778679055511422,0.9933328044130089,0.979774291925647,1.0550994821823148,1.0402849485263703,1.1745847490925811,1.1500874835799413,1.0853056646858823,1.0802908115829064,1.1505765651704325,1.2357871128630176,1.32077704330256,1.423558657119322,1.5763218509369084,1.6844331810395214,1.3104630954706338,1.3751026601754526,1.1954600331137528,1.2400856755033398,1.2369809205962254,1.1954162043767078,1.2066820440519033,1.142607582428925,1.1863912916189385,1.2273161338026728,1.3316744385294759,1.3611975112679051,1.3026962233156898,1.4278404008430132,1.617356028711662,2.122404001287331,1.7902174374241895,1.8480627225465918,2.247969303817674,2.0917490005378907,1.714993289575768,1.6619316498391286,1.580639634151751,2.1724220529016876,1.8797660932580365,1.9595767468490763,2.08551764633817,1.6586707736904078,1.6489595540828397,1.5659181742974955,1.4965234704876664,1.5036306885793163,1.4191216154193718,1.321176533562618,1.363120866803036,1.3574043227002641,1.2755259667412353,1.293007796132983,1.3255770423542965,1.2932082000955238,1.2429577690559037,1.2978995400795397,1.3092740308544057,1.2228331079999033,1.2842227163858542,1.370018385777128,1.4400669944344289,1.444841774355401,1.4866650907780676,1.396820753551394,1.4081329205393969,1.4510886797028368,1.5328891198833063,1.6323397702510423,1.6242319855180352,1.6241625343158315,1.595561067950858,1.6123313919389362,1.7883347313471063,1.7199943000575573,1.7076262261664883,1.6828589083527805,1.764820613489015,1.693183632277429,1.697287596564713,2.0305200215572046,1.9427135269698155,1.740150546247473,1.8620445911457144,1.6038816393969664,1.7478000852898108,1.703864127678334,1.637849549355733,1.6534955527097686,1.610580097410172,1.655158796270797,1.5754317262479929,1.5625268103271353,1.4851668858040625,1.4007134599497526,1.3285674199712554,1.2783036888414592,1.2275848451521474,1.2291184786812277,1.293535786149475,1.2247269411358344,1.2736542972745877,1.292437784823115,1.3310183156082298,1.3542789156868966,1.387938210126724,1.4452372913133786,1.5024498087363454,1.4171306082227295,1.384282009686174,1.495763464691104,1.5002609149150834,1.478114456723555,1.4943024659175774,1.6362591269803728,1.6387639604364361,1.5465826306939814,1.6217380089492661,1.7109080374625207,1.6605149288330878,1.5939911829481686,1.5122475363350514,1.9818053540450717,1.9219063059495953,1.6577854066482014,1.4978906968500034,1.4204453130515027,1.3772109025805748,1.6246181056883973,1.485899439291789,1.4606611019575113,1.4587817946278523,1.4096572190280767,1.249292452953788,1.372533891322367,1.1835830451080238,1.1812368222905805,1.1947398312936275,1.1863414002597712,1.212946071072096,1.1663004561381556,1.2051822344193424,1.1859137283814458,1.3331342015242111,1.109711530399155,1.4848186085187975,1.4281780295691737,2.1945668537584146,2.55919837432284,3.5726894206174955],[1.0418833339617843,1.0399517527931075,1.375705798570921,0.8905305888597789,1.0078898737583009,0.9383735570803992,0.837467459149505,0.8975848502567193,0.8224453804979424,0.7702680558705889,0.7553658447458097,0.8618346588134118,0.8518656213118682,0.766724144912193,0.8473590134073744,0.869226257186204,0.875984502971731,0.9318203559406963,1.0494279452139994,1.0597923157751001,1.1211964363289033,1.3060474814633007,1.445732451103294,1.4724680558118155,1.3597972522083865,1.146241417665894,1.066168166738117,0.9842742438346591,0.9715493599564778,0.9148240171799054,0.9207856121884537,0.9110108263694768,0.9276690878931684,0.9508433065277118,0.9581267983491775,1.0026058080505604,0.9778816317821297,1.0423293498784079,1.070345364708203,1.2543769633904402,1.2317632272755124,1.2010985769152378,1.4008625364055427,1.6918009804029615,2.2213665428403844,2.8129424505601834,3.751618460186185,2.984841461095812,2.7167151335901245,4.133276317787272,3.015522599192859,2.680240398668942,2.20361612664842,1.4782364679907112,1.9576214575996125,1.5896969164259425,1.4534460206197293,1.57041186434018,1.6242117643446754,1.5827990254158313,1.3234522286121686,1.2326605697753552,1.1173946772175942,1.256744853567014,1.2570121930728204,1.1692382270267212,1.1460841341151649,1.0337452508586744,1.0994667972958774,1.1595926040034912,1.3697042649393556,1.5951642838426372,1.2368743649266856,1.2389274301950601,1.0584916558940602,1.1987323747062466,1.0840178346956737,1.0371104605124084,1.1049618434302915,1.1811354780981742,1.1771644249796778,1.248925263790283,1.2935259226034315,1.6200416797433843,1.4264272691874884,1.1172154891083645,1.1074638935002292,1.16479398490215,1.049169295829782,1.0683594117889956,1.0232916326290684,1.1245549515322981,1.0350831527828275,0.9317995601398155,0.879450572265337,0.9011672772390167,0.9449469079693052,0.8891005409973889,0.8708653147759768,0.9043215115288964,0.9557980747500734,1.0769085668127847,1.0403474782042268,1.0932881221597504,1.1694959445385054,1.1532572467000144,1.222974531431044,1.24524626808298,1.2620257894949136,1.1661946643494892,1.076875245718441,1.0047484114179852,0.9167772159935111,0.8748547276524169,0.8116238196256736,0.8505009626829171,0.905820175836038,0.9476660637928793,1.0132354208571326,0.9145029611902228,0.906548967940331,0.8925293717615654,0.8754536350887087,0.7367163846872253,0.733901531398663,0.8020072884913427,0.9656116007795268,1.0008552999068354,1.1139042650255069,1.214922473223479,1.2712904790178587,1.3304206165585244,1.3338921077776391,1.28740072313353,1.2345275446221857,1.1125750500643283,1.162640818063995,0.9717463149549816,0.8221099230622783,0.9381540789321183,1.0198418763162584,1.2369055408101843,1.0410780387523333,0.9881416066328497,1.1072457858371971,0.9673337864360112,0.9274497367387085,0.8980973823960001,0.9262618195499157,0.9035594888207058,0.9728879762747051,0.9055885036186477,1.138491791134003,1.3084404504484761,1.029697081510369,0.916633452421006,0.8996600487674552,0.9811498936888566,0.9684433425862506,1.044437596111204,1.033869227500434,0.986997789311443,1.0051506615669838,1.0931557012978137,1.1466731112789845,1.269916658891596,1.2744256941038414,1.4653722018322521,1.493158064268815,1.1743560818273162,1.1780288993353627,1.0811549887627219,1.107077709795851,1.106503455753936,1.0741340915110311,1.0658317003782416,1.046523738014122,1.0529714998175868,1.116468536861291,1.1922078630737527,1.2256705693800096,1.143611098242413,1.3092738644617197,1.482691848743707,2.385149026175151,1.8384290099935536,1.971196229112766,2.2598201751214892,2.2154900846022176,1.6643189999652925,1.5628731081293872,1.5026053335101075,2.201860779961639,1.858501739606269,1.8327610230252067,1.891256207008681,1.4716043886932948,1.4720079755232247,1.3860558852995655,1.3433587358729795,1.3279371718672153,1.2696911838260463,1.195236319726825,1.2258346260752533,1.2210420738017573,1.1665592726368321,1.199223167039419,1.2273272431605704,1.187969146168875,1.1719110659896772,1.2455068222782921,1.2546749364814376,1.1816252107376506,1.2770061332870675,1.3624511857958075,1.42875840282009,1.3957799243280344,1.444675256336369,1.3232375276023307,1.333362468990032,1.3571349355247264,1.480345889622597,1.5646577599325269,1.457146232104612,1.473592684665108,1.420708648092816,1.4340908214049786,1.609741603641772,1.5418251966535699,1.5409489519848056,1.4985166999141175,1.5919303487629717,1.53043858206701,1.5167118130403243,1.8759214122458543,1.810603964513033,1.5820427364632024,1.6992794036612175,1.42043612889811,1.567879027747422,1.5165650304893954,1.4397160626543637,1.479759872707819,1.4288427400864059,1.5120248681666004,1.4235691927078242,1.4171923342663955,1.351072940758093,1.282979065763343,1.1987585834099586,1.1557447008520725,1.114851989672653,1.1273661135342417,1.1952493872830925,1.1358193830950831,1.2321389061135555,1.2324729517159851,1.2579780942846652,1.263438893818787,1.2779774142682638,1.3117230162172426,1.360461748069571,1.288317182911985,1.2652820844117627,1.3474208730256307,1.3553238795097924,1.3506857951594304,1.3403474224840175,1.4849178902306965,1.5267592976342392,1.4313005399817187,1.4708794070014357,1.5844298820161538,1.586079796183251,1.51777974460042,1.449582548485207,1.969045691252365,1.9143938226912505,1.6553376513571456,1.4941760188004465,1.3698959726742235,1.3426158315384085,1.6193290126517743,1.4557735069547648,1.4238273494654812,1.360622107921401,1.28795936651514,1.141951625867533,1.238334147429165,1.0703125910140585,1.076738548741799,1.1034681756444586,1.0815685393622247,1.1390870329907952,1.1117518833346272,1.0965202713638362,1.105996417311166,1.3148650969508848,1.0585016549129491,1.4071074975534148,1.2972917830949022,2.0053632908025025,2.3208293047322526,3.2969275972177097],[0.8455129443492094,0.8598786475996785,1.2142148145160176,0.7700564496588281,0.9221469334352089,0.8470352770549405,0.7748491729987215,0.8468497230212796,0.78379389463465,0.7878463220184986,0.7925035328284089,0.8782837682247608,0.9017726026234211,0.8439569974888015,0.9368301867871471,0.9783805257653214,0.9891430786336226,1.0538893297663845,1.1390833831736868,1.1985942438066224,1.2856878973181278,1.3594644805274867,1.707352131108969,1.6860443465142678,1.587517657264084,1.3017275466938762,1.2404666402538038,1.1114505812186843,1.0982609891074837,1.0387574079139665,1.0350139811135801,1.0289770460062164,1.0343313313459628,1.089445142363952,1.0994655077651592,1.1376239087773443,1.1280738443067222,1.1983047869306707,1.241975592158224,1.4663641337687374,1.316599177783801,1.3027590522398855,1.5570479996281503,1.813117777302209,2.2826457987516493,2.7129456093718742,3.8655170541045814,3.2807242837529094,2.722888166466599,4.064325480999257,3.244084260264994,2.8723223984983823,2.5451609186727198,1.7456175991026237,2.221655856343376,1.908003001338033,1.6948465958444392,1.8203613884527423,1.858776924579723,1.7553416184503363,1.4156524467694984,1.3608114520776962,1.2787359442236685,1.418374019838445,1.3513078340993356,1.3073382133629703,1.3219300643582443,1.1769244531357352,1.229284277709367,1.269823765455014,1.487644208064827,1.7592008233733178,1.363208953856737,1.3817295927785262,1.2216906437045452,1.3761313622901163,1.2238148838511547,1.1879774206902938,1.2426023349762045,1.3354712949487748,1.3857807067207135,1.4427241560072082,1.485780164733378,1.8236473622084897,1.6339187487667,1.309615636818657,1.3125322489373745,1.334963068304168,1.205878686004642,1.1980925446208441,1.1809881787863623,1.3026221956485167,1.1787369272088732,1.0674852665790202,0.9947084918613406,1.0055048919469087,1.0305147567877269,0.9879078866688455,0.9429990654960811,0.9470056866380714,1.0415674719764685,1.1124604084435012,1.1556021874125841,1.1722473765714503,1.2873814260679282,1.2595095453540062,1.2982932994285035,1.3290604733610845,1.2644859322900586,1.1750238995568039,1.0496027218145167,1.0605546377465096,0.917673084981645,0.9289917269077396,0.9039276438942536,0.9441040140990542,0.999200821099963,1.0167136230092089,1.0990532201731769,1.0016974984053681,0.991313961047343,0.9506210105539198,0.9142763690420741,0.8083119481079524,0.77176254860813,0.8489655437891264,0.9764108400215111,1.042655231610042,1.1288249433707296,1.2907936681174015,1.3292416367010984,1.4404440659914572,1.496248026848376,1.4506414515574753,1.388025934312044,1.2423785400394203,1.2242798699947963,1.0569626105132643,0.8883238124757465,1.0242505189042765,1.0521891609301353,1.323515074710435,1.1342039802883752,1.099997407913342,1.2957041731889523,1.0869355086558878,1.0460020082074672,1.005689841185575,1.0118402064015937,0.9259172886174433,0.9774236255812924,0.899938867598277,1.111729348003767,1.204676905628413,1.0619248323540462,0.9453552582161012,0.957812753698074,1.0103492719928395,1.0426307155052914,1.1531071393501027,1.171440018073395,1.1492660730613578,1.1471612574588903,1.236941209839659,1.3311282957980992,1.4202475439149889,1.4983726203428545,1.6818533947348766,1.6627614094402798,1.3249305562085718,1.364059615139566,1.2305091923476403,1.2945566865036056,1.2877290545534845,1.2531499781022084,1.2320248167875034,1.189903256232115,1.231375975180328,1.305339229052038,1.3740219648409164,1.4199137132924986,1.2998334021421565,1.4594627428766493,1.6583848221913478,2.1854140053555056,1.8650064997184834,1.9230554446545218,2.3626003546305783,2.157890548687439,1.8483880565821125,1.7584114443161778,1.7293475147088802,2.316234059887008,1.9966829282628542,2.0164405820816595,2.064586493878643,1.5665127860518184,1.5334479573453592,1.3409498815957153,1.299532011309575,1.2606056415412108,1.1979385917494663,1.1030204517490558,1.0860339575982403,1.0812028496593613,1.0299853646545793,1.0172720653119691,1.038371750211944,1.021039678601164,1.0163900020367027,1.0665834597483717,1.0677638579408701,1.0380899717855872,1.170399924410248,1.2130315495562545,1.2319780792872232,1.2112758474514136,1.2463022631452332,1.1235256415314911,1.152773157458462,1.1784655609223362,1.4055436906041463,1.3549191788091255,1.3247480162862724,1.3674972528960474,1.3581056214673746,1.3910294804415204,1.5901333516586675,1.5137039237895697,1.4752329325638942,1.466660824286481,1.5702367691770527,1.4734616757914614,1.49730982826832,1.9391725250049119,1.8517541739134047,1.5199405603686185,1.7126256828613236,1.3531429346171644,1.5810435548515847,1.5218400119071969,1.3988610498690803,1.4710944377676873,1.3966261275306466,1.4684011740982532,1.3889135454761838,1.348870893129568,1.2815861180298453,1.2255203054534407,1.083552252017227,1.0347643850814803,0.9976830852744522,0.9915839075363881,1.0350341018932772,0.9873745368369552,1.1262301798931162,1.0527518853649742,1.0796785858320699,1.097575025621426,1.1159627619748969,1.1698025151400775,1.2310265924807677,1.1290335361869206,1.0887195382970905,1.219156306143927,1.1973155961450181,1.1613251097281323,1.1812259100286444,1.3752321762110198,1.3278870339707893,1.2217029141950642,1.337383667525106,1.4492689184760117,1.3943583096908156,1.330081128664069,1.2527085370105604,1.9094485489403643,1.8057121048897449,1.49558965616977,1.3100478610679729,1.1453340626708737,1.1586119805020374,1.4227610071616499,1.2175212178016976,1.1872973438105885,1.090282809446169,1.0913784641771933,1.0084462325847219,1.1540134830252706,1.0052408911006019,0.9695892265876045,1.019549505734419,1.0008936578850987,1.0452706177100808,0.9948369601399967,0.9872696317566279,0.9789950051542554,1.153035414576276,0.9295779644519732,1.3385875309364395,1.190546146612465,2.051442695143766,2.290141609361168,3.3827640751784305],[0.8941475721099202,0.8422618442338983,1.1584458885061708,0.7085819281622778,0.8262143839735753,0.7902812362640271,0.6752042432483114,0.6882517573813975,0.7028718564900128,0.6710675181614575,0.6653239289712166,0.7260748939128476,0.7520695083461905,0.6857931290172556,0.7598180749119544,0.8003289539248465,0.8136356149477006,0.8991751099880605,1.0269850699012166,1.0463676570379017,1.1473557159012617,1.2515042398428684,1.5815287692088214,1.6088644476105265,1.4999854356314424,1.1834607910904262,1.0934110427506842,0.9518631267109553,0.9217025843409566,0.8456249962461182,0.8573435522225246,0.8100488353783905,0.8288667855839649,0.8789611917561138,0.8760903585409673,0.940763724315081,0.9112963507801989,0.9973609799567481,1.0363307486302844,1.243102023228266,1.1839827374553613,1.1555133767962025,1.2946654639988866,1.5784770013025722,2.0712407741028693,2.627067223255323,3.624401268426067,2.9453019011029538,2.5334454066730405,3.9627015065534312,2.9093558213821282,2.6027303612641406,2.1171442921248667,1.46122419317855,1.9089713622147795,1.578587991184031,1.395040480526714,1.4631289194440782,1.5444059764308318,1.5301209531568978,1.2725085326157257,1.1929946436551455,1.1156027397911477,1.2527453179896955,1.2392489376213989,1.1408476995860282,1.1873810321101101,1.014459476551385,1.0862246896858336,1.1304460501802869,1.363631973646617,1.598915727887321,1.2312260102608463,1.250704154475699,1.0414082672301477,1.1733611842008962,1.057270197201735,0.989588886251949,1.0563733005669607,1.1314700979752499,1.143426084069241,1.2090944427376271,1.2286221568983828,1.5497453123526599,1.3257189126096935,1.0784118868441572,1.0842081592619885,1.1209692084755118,1.0031611049568283,1.0033018833927572,0.9591966214248806,1.0681092890047246,0.9693422783187166,0.8581922495285708,0.8016701738821824,0.8142497334278621,0.8405573403182802,0.7792475806790716,0.7647309272642291,0.7964746872417576,0.8427943130895182,0.9622329874372411,0.9335674944181099,0.9607651981007292,1.0426956881929303,1.0241004134327751,1.083787126229031,1.103103326979994,1.028874631195724,0.9574496164310816,0.8694801811818229,0.8484155744768468,0.7452227156187734,0.727035063235153,0.7255528596490698,0.7795515118652341,0.8416500617090023,0.8880070400575962,0.952718139025544,0.8578120142151269,0.8376304107676994,0.8082615835838888,0.8027230372361757,0.673317163100485,0.6220000872566622,0.654232840002334,0.8252486848570709,0.8495181364083576,0.9133229598498941,1.064645891464453,1.0938248205579861,1.2059887605181885,1.2536755946051292,1.206771522718056,1.1465379789673191,1.005933595152456,0.9463330952958339,0.8380418947794631,0.7703786685849483,0.8775330902391402,0.943899773483392,1.2098273386685818,0.9939924894215976,0.9298476512088266,1.0911590487596134,0.9170137252423137,0.8738357745582981,0.8094842155284246,0.8230664945061571,0.7829047198998897,0.8322656641561197,0.7450041354296136,0.9770259965257312,1.2202152675059699,0.9414763880598441,0.7939029480928753,0.7856164771794716,0.8489232688120414,0.8657509547721408,0.930602624766649,0.9541193690632376,0.9281416275635118,0.9542096686870384,1.0699597161922918,1.1750319217289695,1.2134764833045704,1.3093852416935379,1.5304323819365397,1.4601627468554128,1.169513494655485,1.1186557440128373,1.030524291380965,1.076164088558564,1.068408533252806,1.0373042683632336,1.0051320625286293,0.9817462610707987,1.0321055587955905,1.0969045419855612,1.1712237418054585,1.2625805780280406,1.0780726161013288,1.2676284544481558,1.4503102303592177,2.4929434548758103,1.7971141687322638,1.9794192800599322,2.2299712375802354,2.2070581814492054,1.6577384992935185,1.5605655359668118,1.6048226347045085,2.257518794881469,1.945887695349565,1.9135828929791365,1.9337368668498485,1.4033568985623852,1.3210822842330348,1.1252658096433572,1.0689792691931153,1.0475663632038201,0.9843757888139147,0.9085212309746554,0.91081124289784,0.9203890481486514,0.8783636577147661,0.9256305654383319,0.9616367169889812,0.9217231493548447,0.9633699253884029,1.0711016463157237,1.0856785660358843,1.0351257013590474,1.2225308104690633,1.2878213915073005,1.3023850515655166,1.2528386891990229,1.31997848606851,1.1293794604143663,1.156100325419037,1.1433044439646936,1.4702103405218931,1.3351716755124463,1.205619121562597,1.230262166429318,1.196330774623894,1.1863896338115334,1.4016882915177775,1.3705909075956018,1.2866466017552958,1.2696734622834738,1.4087948673735462,1.31425774780072,1.3124469427710057,1.7891615518816575,1.727773202334645,1.3608684573679009,1.569727243782633,1.1522692659641296,1.3329352075804783,1.2895320598786704,1.147587791161414,1.2108091742998726,1.1270456093911492,1.208711436992976,1.1433557610160539,1.1636688765313221,1.049419569953479,0.9841721727007934,0.8947665204824822,0.8718876079714936,0.8419310837271593,0.8776985793499341,0.9406976859041856,0.9107014207787543,1.0963738572717368,1.026302074288057,1.056541655403577,1.0535656759093903,1.0170828811997328,1.0216995638309576,1.0936850658876365,1.03398114576692,0.9932902236554428,1.0704574256260593,1.0831280908527803,1.0874282065515417,1.0385562983578305,1.2287648017121642,1.2552429123514413,1.1347496753768544,1.2014306217013704,1.3601951199040554,1.3372290322868077,1.2860770431140436,1.2446186890175162,1.934728521510021,1.8578265828456086,1.652569019162188,1.4116403236661401,1.1722774079150518,1.166992365480504,1.4817291320987775,1.2497256467733282,1.2293082109617284,0.976693016632079,0.9463191008047107,0.8616280531827002,0.9413908673108599,0.8353671989043866,0.8187211783783265,0.8599157554595812,0.8743269355356499,0.8979290052731507,0.8564204284917402,0.9278858184528405,0.9019568914776832,1.0403473886166128,0.8798125228758592,1.2899241843031415,1.0635096382395741,1.5710950345517223,1.752181900688511,2.805275219908247],[0.7574789461130348,0.7218656055258145,1.0410952752225187,0.611291452986077,0.7477765061434172,0.677582211749522,0.5699595206425642,0.5799425905351046,0.6051364143106326,0.5735427611974816,0.5757116614065543,0.6262215908985725,0.6636692236578543,0.614663771727388,0.6871137552605744,0.7123299026973952,0.734729547094362,0.8054129907551159,0.9168279606253326,0.9428670730184017,1.0157753603567066,1.148075701981296,1.4271876569140038,1.4316889414135374,1.3373298042883095,1.0632444967315458,0.9792652370949216,0.8624184409950583,0.8253542258954972,0.7395743779781969,0.7645231853883812,0.7026991800284598,0.722719891573805,0.7770957979088582,0.7787141922983475,0.8346084776209974,0.8083770446182595,0.9021666015625466,0.939476347123979,1.1585009330210096,1.098657804287899,1.0479880571012252,1.2621321261815894,1.5874491239816009,2.1306875898363864,2.720235315069531,3.7776325547427447,3.0082304439489542,2.6878102221317244,4.062833676474383,2.992935214166089,2.6471330799293606,2.175634191310656,1.4078003916542987,1.8553960233513456,1.5427673338674988,1.380687300740537,1.4691491947351898,1.5343151546186127,1.4862154557628555,1.1716695278319285,1.0911110595252316,0.9844608978838012,1.146242274305479,1.1173095724608721,1.033190681101319,1.075278605356878,0.9166544116486673,0.9959864376324981,1.0697839970614083,1.3101057351123166,1.5759221377237507,1.1754366135296739,1.190826093777079,0.965198615063428,1.1399176421724864,0.9609270386843899,0.892194220248697,0.9409788859727423,1.0186600401555224,1.036911315937583,1.1129374476364098,1.1120047598560698,1.4640643350583995,1.3151131904839661,0.9841318858250047,0.9752388304863685,1.0110915742291873,0.8909825198379954,0.8987236064220974,0.8796951552136123,1.0400392107653438,0.9063548212196125,0.7731044917641298,0.715459858947753,0.7456035436417057,0.7884540626354444,0.6800042019889531,0.6577801120275545,0.6963389220805057,0.7287319841508925,0.8386642801697851,0.8133798451771301,0.8342938371745994,0.9245389537582729,0.9284116009243903,0.9734128650459547,1.0058492346284247,0.9222148518027453,0.842068158471916,0.7511325754187789,0.750110462075312,0.6305519895150598,0.6400672226564198,0.656966203689996,0.7178470720780352,0.7713719223197203,0.8211660299093935,0.903042061542884,0.774011030456953,0.7862325999581868,0.7514538243476466,0.7459462965451856,0.6144614809922426,0.5597810427547457,0.5807235790000312,0.743776783173063,0.7564615510781781,0.8196119346736449,0.9626812832101334,1.0130409141996817,1.1110452291917177,1.157371954421705,1.096545071919424,1.0602027691850118,0.9497735896800993,0.9192295898783777,0.8082325217131396,0.712818406053764,0.8105503886100573,0.8602868836712116,1.1095636050351756,0.9129035896076334,0.8544223028823822,1.0173194842504103,0.8256188814059462,0.7973976277749186,0.7135034470857473,0.7021939853453669,0.6699656160733145,0.7021742328007777,0.6284312681901151,0.8435779605671502,1.1256329643989957,0.9052736845312456,0.6731472064567624,0.6708749908746081,0.7109006503782254,0.7437227958217131,0.8199899283010745,0.8538198112346107,0.8381955970969802,0.8734133293657103,0.9650227520542444,1.0542998361871943,1.181727713426159,1.215779017681722,1.4541923694540626,1.4265519307211831,1.109819245743448,1.0609098830203343,0.9552321832466216,0.9812634386733331,0.9637295706822502,0.9283187498484752,0.8890290717026204,0.8824940361405739,0.9130601219341803,0.985744160023928,1.0463423767805444,1.1376131146169355,0.9551124047525622,1.1146720591078636,1.3135586024724026,2.3385374837644983,1.7295099475910019,1.8987024617177235,2.2012334265594315,2.115931126466182,1.605650225246943,1.5185504660412026,1.4510667030773396,2.1616238888900026,1.8477384458240917,1.8208178307784324,1.8333141343530204,1.3265136126136805,1.248354736889337,1.0500879818197792,0.976469876008466,0.938878474283361,0.8544176209629591,0.7894092783887859,0.7873207404595914,0.784310632579732,0.7424785512238717,0.7937516990618283,0.8321760847774242,0.7888981570293028,0.8562435457496745,0.9700924709830742,0.9908480405597853,0.956963710484476,1.1578537581606458,1.2181398975331172,1.2205712232922208,1.1771502543094918,1.193506663194857,1.0045791380075888,1.031540182541542,1.019762404086378,1.3680235204923763,1.2441975344518041,1.1160444509822909,1.1457474166333474,1.074174801348506,1.0713355806281553,1.2642209413630277,1.2587922107881973,1.1645582049901695,1.1479547649265052,1.2965097459807786,1.210659111115416,1.2022445592247382,1.6700970218139664,1.6546386697875437,1.2797825289049762,1.5071411098711351,1.0685936926951616,1.2470323103525716,1.1789341283759764,1.0386359367662732,1.0971649641977117,1.002877844510597,1.0911483145864644,1.0212846905417368,1.0143146037212472,0.8968997030261617,0.8425537774721513,0.7539618128943021,0.7319933824202556,0.7164746106694335,0.7446497272676493,0.8005227155936027,0.7962943261586295,1.007723328243712,0.9022127383616029,0.9245597073977678,0.9176981214938036,0.8728169160952808,0.875286817342709,0.9506038278518789,0.8930798019763324,0.8584296788931178,0.9308245834235718,0.9492218449959382,0.9563712231125315,0.9141196652229985,1.108646432772949,1.1563328265278667,1.0023104991835554,1.1092645858724526,1.2692640551425989,1.251547674249895,1.1756895789260344,1.0881503069377734,1.8246555211472604,1.7091665192747227,1.4560808328108281,1.2689876197633794,1.0342951134340734,1.0773598098602601,1.3837108094136905,1.0948592277228943,1.0235942400534126,0.791002644644074,0.8159029623145868,0.7525434044587914,0.8493349990411052,0.7471868651557587,0.7029018729353506,0.7293070650818512,0.7361855074312855,0.7676918625571002,0.7424832578349901,0.8092911197592301,0.7910359569182122,0.934513562765006,0.7691004443143454,1.2098056500801544,0.9222765407542517,1.5566044413599343,1.7143531965510677,2.7704724733703228],[0.6830278564756526,0.6650758185713285,0.9940013047172076,0.5689785400987186,0.6961894802479749,0.6333371586487881,0.5573352275550663,0.5870389641619206,0.6020167241578507,0.5848942150607406,0.5933213379318413,0.6507267296329063,0.6910471390172717,0.638526651185076,0.733216850953311,0.7479168828788652,0.7875733147772922,0.870901370226307,0.9847711146437009,1.03994065708748,1.1489622601688856,1.1976478486433888,1.5984613338450147,1.5924581210378064,1.4949141992944488,1.193938652709941,1.1017093186826394,0.9357065257795576,0.8950261331443692,0.7895350845116065,0.8309640118553108,0.7507405146503925,0.7773759946113632,0.8466607242997725,0.8584387325835068,0.9119829273351892,0.8834732262281229,0.9720032415645645,1.0346528167527071,1.2554682058241087,1.1521719656092222,1.1358219637373645,1.3858671906387807,1.6994456588263704,2.1804235486691046,2.6607165083255135,3.8430590810113654,3.188843379432304,2.69789844359753,3.9992577646073,3.1265963432615957,2.7482267245701206,2.366235296833933,1.5726252552718452,2.001015920062491,1.735166560267996,1.5333957181707043,1.6067595274044209,1.652816246095629,1.6232845128623736,1.255856755092109,1.1899193495145488,1.10732752665795,1.269151159039282,1.1991494139181007,1.1341149102212191,1.21214986520236,1.0251204990895748,1.0822832304213525,1.16093164374527,1.4095840699492528,1.7042751922853145,1.2833830038106477,1.2873411266441241,1.0792775752509018,1.2643490504207289,1.0620521779738998,1.0015643156834553,1.0492224151539453,1.134625809335612,1.1393708855301026,1.2124591569701826,1.204380371266737,1.5496318144553476,1.3933664618007138,1.0678202969821797,1.0886847413931477,1.090206370403942,0.9976946324186509,0.9821171020501652,0.97698352807915,1.1545158989929787,0.9980490824976251,0.8464779778081168,0.7749083933238103,0.8029887544606079,0.8372931582751015,0.7162813279003306,0.6636651866901944,0.6813784557533586,0.7566385688447819,0.8348151470276156,0.853292267417123,0.8557549850209565,0.9801860600420136,0.9432512967824898,1.0010079371390277,1.0263762397134293,0.9424202704613072,0.8542353618160747,0.7472515555123026,0.7525250619275851,0.6364567959751438,0.6522027646263967,0.6742435245429784,0.7373349842134181,0.8205654167241732,0.8778029693718727,0.9997719751633148,0.8522129539788039,0.8399658731086493,0.7730812963026363,0.7572040975409884,0.6241481928008275,0.5641690930968679,0.590661856085504,0.7057955724979497,0.7411882210650346,0.8181448051015113,0.9830377824954777,1.0286462212656473,1.1371556698511678,1.1922619452672518,1.1334602165983332,1.085721683706905,0.9498876298446014,0.9395139915256173,0.8197018091518202,0.7136499778367266,0.8292679533171968,0.90393875323395,1.208127995508953,0.9893953615693876,0.9165169718246076,1.112709258631898,0.8694815316796198,0.8189877931419043,0.7422482922703574,0.7216871541772556,0.6708408900457001,0.6899639188212687,0.6266518605241383,0.8216600237636371,1.0958538946135037,0.8840005950195402,0.668359527040234,0.6748518906077401,0.7121151039140176,0.7621208610270671,0.8397188766306267,0.8763515526727408,0.8800566165942806,0.9080951161494836,0.997981654073932,1.1046572161172508,1.2200062053004719,1.264404231913931,1.4952267275962392,1.4442268308747246,1.093978470722818,1.0855244353666182,0.9770341744678779,1.021425809956269,1.0075468070654319,0.9716038692229457,0.9343286971736451,0.9132502334381547,0.9509325655185408,1.0381680920252052,1.104194179902381,1.1855474830656183,0.9966775727523578,1.1886670789432514,1.406561101891056,2.1853891972793265,1.7578019384683639,1.861069636152351,2.262732207737561,2.1173221165889213,1.6929296023014189,1.5832042836295754,1.5384964508387204,2.1934395535877926,1.8602349396701654,1.8609087636676365,1.8988279093117075,1.3444958466946815,1.2792577118420114,1.0689468765629182,1.0053068535454484,0.959065885537147,0.8728068449948994,0.7992566798808214,0.7891230909951006,0.7857071151503229,0.7359524739624919,0.7766159666215112,0.8128885581286476,0.771587130520003,0.8417484194565645,0.9525356757826497,0.974096517081151,0.9529250664874157,1.1612365644829405,1.2117819059614627,1.2001262538415085,1.151039632658015,1.172205099500259,0.9867608102677432,1.0225464396990496,1.0186204368154566,1.4032469183549172,1.2490867688231293,1.1158572731013048,1.159673455416162,1.106643711683103,1.0985512812798708,1.3248220713092416,1.3028118215027138,1.2058849227818715,1.1956619803682083,1.3614909869810399,1.2550169184562836,1.2532269503831432,1.7583415108227431,1.7133796302727093,1.3154147177022566,1.5388942997777306,1.0888092682890378,1.2894705458528888,1.2283350142508478,1.0689337001523396,1.1377944321591553,1.0529891708868464,1.1360668070127342,1.0556659749327906,1.0432077525805985,0.9314826616242219,0.8715656855501234,0.7586359960649661,0.7285978952582365,0.7066515078898244,0.734467447213627,0.8008161395464541,0.7786080500017717,0.9888502179523186,0.8832612939355218,0.9033852038246049,0.9022525063292262,0.8686209984670427,0.8840866764960629,0.9670710710693468,0.8925209201120325,0.8527102584208387,0.9464341097036248,0.9539115912850743,0.9459325406080858,0.917189745140619,1.1311497288069745,1.1428884773071435,0.9927291128003087,1.1206295016004273,1.3177847518053327,1.2605116292555758,1.1844694642177107,1.0767408913396161,1.8375152759193647,1.6716490036328924,1.4402329004361152,1.2318508788814577,1.000230286968162,1.042238354472339,1.3200539986782038,1.0415244421627303,0.9925083731503465,0.7858150351047254,0.817497234198571,0.750504436011805,0.8627397353109714,0.7276945905294484,0.6903952630949642,0.7277725103224454,0.7177858032126901,0.7721856433702249,0.7378449006978802,0.7650773748130825,0.7466315239847308,0.9419762479397296,0.7203762429734103,1.1337769202928802,0.8764897852555138,1.6448420787920708,1.8145948054532652,2.9354508675161326],[0.6596232554360084,0.6479227806328982,0.9900243340575918,0.59802049803748,0.7592199341211222,0.6561777225367732,0.5845660643006944,0.6095471378164843,0.5950960057699783,0.5608369891392321,0.5649342729083645,0.6369683070737735,0.671336535554343,0.6017127829726476,0.6812446683380065,0.7102002821957216,0.7610722662853312,0.8315026217913165,0.9509079405891148,1.0130315076793908,1.1280605599672149,1.2001185152918368,1.587361735242773,1.5838301076857746,1.4697635866549175,1.1798769523915718,1.0812309455781282,0.9177669331817909,0.8717767100914313,0.7835928028912701,0.7886512129450036,0.7408365242356219,0.7495189890411744,0.8226963005315698,0.8414986422349272,0.8911880151178079,0.8886123776177502,0.9801031927680466,1.0423803651855768,1.2796025714075943,1.1681191111658016,1.1389227148673675,1.4032445064451746,1.7319674402246055,2.220668615206155,2.6765647128787102,3.8752620463597065,3.218394869433163,2.6876229726459417,3.966295053450975,3.1357150332877524,2.7505896466820667,2.3866014827300948,1.5545378216238237,1.980369863638536,1.7448461894975704,1.5572879026468054,1.6261423249015907,1.6696134620761445,1.6378914915056209,1.2599460527631965,1.1890845766966687,1.0876329213019877,1.2680897479283153,1.1983913205890753,1.1221772479617211,1.1921642253132847,0.988458385866566,1.0470267065785928,1.1314962048780455,1.3903838411178904,1.7059947515681873,1.267015158006569,1.2655276328362766,1.0455660296932903,1.240709643977921,1.0334837777884758,0.9775163760588149,1.0343258746954787,1.1374332077820117,1.1615528435816795,1.2416319070215704,1.2663144440671812,1.6254378834358845,1.465335154544773,1.1007049411074443,1.0959455096422905,1.109529159335076,0.9834355996331173,0.9668698729409761,0.9477326640153771,1.1321170256310347,0.9570783722686939,0.8017279450209184,0.7298394495564318,0.770969105423488,0.7903061818114229,0.6928203401380846,0.6710752906901958,0.7217204415070585,0.7615624393786231,0.8803268137412986,0.8663201265697541,0.905675392255941,0.9621340179349777,1.03230002464827,1.129584953694331,1.1696562897539307,1.0739483204848503,0.9752569238601688,0.8602147126198002,0.830494220514693,0.6761064933650002,0.7056591734245916,0.6789280642227137,0.7435490207495279,0.8196376649626954,0.8712387883011278,0.997400850509198,0.832239561401768,0.8260610312277912,0.7582952608836456,0.7432470950142838,0.6239022415383879,0.574801454283338,0.63526845797618,0.8410359176167231,0.8285800476793244,0.9350658374339512,1.0938975982097288,1.1879869475062936,1.2962461077538174,1.3157083364628617,1.2435794451051034,1.1823417295115313,1.0453738958898082,1.0435580546873289,0.8851804447372017,0.7531053526240402,0.8587938677373858,0.8984492561868286,1.1956465307200368,0.974518141370238,0.9189930947303447,1.124216598031991,0.8766766592026298,0.839641227266754,0.7621041076189018,0.7580878167596952,0.7041530215915249,0.7618626063939823,0.6640584427934003,0.9028555771859401,1.1240468047734569,0.9377831835604031,0.7066315132936931,0.6984316855899573,0.7692098317301871,0.7786828128857093,0.8838525703914428,0.9184639568474777,0.9094857996025743,0.9348583530632301,1.02383121554812,1.1280156443334712,1.2576106555991626,1.3053004483084807,1.5181281521153482,1.5020954485178577,1.1555684283704577,1.1522920593455133,1.0270912809660573,1.0713573237677536,1.0524618054600499,1.0111383543461283,0.9733887880218295,0.949888452000142,0.9861009625686277,1.0777878791128692,1.128670976498369,1.212932188158622,1.0617493459319836,1.2383308839939007,1.4143835114661418,2.2989954986516468,1.7369703701669121,1.8636823987653852,2.294730975494224,2.092395558204822,1.7181374931425868,1.6237586330741518,1.566288059139009,2.271917195452459,1.9653396611440068,1.985561859155562,2.0641962384024795,1.5433190267624441,1.493927988239032,1.2787007049209271,1.1732796954947706,1.1567119773178287,1.0476020985782226,0.9696760279814255,0.9966920594101322,1.0026420986919031,0.9170089003504813,0.9320537333788133,1.0069794627596427,0.9699320572366139,0.9815479012094682,1.0897766649604037,1.137722355690861,1.1011517945416276,1.3092654388587421,1.3465430733773343,1.3009231097129708,1.2934799480150379,1.3086893945716485,1.175676132896116,1.228130120245405,1.2460703271613975,1.6992889469968668,1.4919266920278238,1.3216457631911525,1.4149494171945762,1.3670332364250573,1.312824608858798,1.5406510339907777,1.4871866021137992,1.3802608229686006,1.4436934717159366,1.667816632405817,1.5257464663081803,1.5000737825583927,1.947808774958168,1.9834756548066328,1.5757442983972845,1.7567689392410941,1.3248960327335517,1.483436813276946,1.4371060696152984,1.2656274715694393,1.33170102031491,1.2182938485053623,1.2761222215474628,1.22150001799052,1.2137909310754793,1.0796386761803012,1.0155823156652974,0.9643079454284855,0.9462225779224884,0.9022981923074852,0.9116109601201902,1.0040180091549564,0.9986558240549379,1.1783662303725884,1.0835666828271369,1.1124195209351417,1.1131694041947755,1.0923110728657681,1.0857798785642458,1.209189051634158,1.1336101596650745,1.0572233482292266,1.1616339221749725,1.1848877180777218,1.1633417566502497,1.1503498307197157,1.3298456202656428,1.3197165683867544,1.1866508471613089,1.3681697447048775,1.542800696236362,1.419323060709345,1.3553928549400442,1.2068850575969956,1.887077646849111,1.6027982308974054,1.4851498177149836,1.2920757525711715,1.1059743494606509,1.1243369640877015,1.3264186051434466,1.0718253206809627,1.069590605790484,0.9276037724098498,1.0103896596953532,0.9239540126462609,1.0395667421977635,0.8731557541496322,0.8119054870200687,0.860295956275434,0.8890338178258905,0.8741186951240449,0.8220130438326272,0.9056069236173114,0.8742726480654417,0.9237023532458785,0.8071495125532826,1.2326075251294148,0.9056925686489637,1.4947054349725075,1.6025950200477903,2.7272406341338233],[1.3479829660610019,1.3477026752021974,1.6269438152881721,1.5257921139846655,1.5124833539577207,1.5801989022033027,1.7044613375447393,1.6697406929574667,1.8561800838204,1.9892281034617685,2.0861358599010953,1.9923872713047257,2.0323321544211703,2.1826737845022484,2.197817246593666,2.1062187097562663,2.1737242949137805,2.2434040986734725,2.3960792254258774,2.2658445762557773,2.294243946488372,2.4498718035302205,2.406720262547272,2.4427513446151146,2.2880042140993817,2.3025233513420704,2.205408455202025,2.2043302704089864,2.165295160674428,2.0622602354683366,2.1705138423451933,2.0378274814138995,2.0588897549443397,2.1060887585553147,2.082636833223292,2.14117276766995,2.00879606532874,2.122495052746509,2.0740430308175037,2.1376933290003604,2.152842874733657,2.3170909809177838,2.4765737802317234,2.654992066270277,3.185597802777987,3.4607856451696843,4.455452808685374,3.786583375955226,3.1530107903877083,4.236115726471357,3.694469866166583,3.279217161351965,3.1044362578519555,2.2732958079548986,2.725315117636262,2.5456071402505325,2.497165891090526,2.601297882846339,2.5892897861250446,2.4704066626456194,2.310056905564622,2.3121845462889765,2.195502322546615,2.3823549655653347,2.36234893462679,2.2855154346630036,2.279089411043261,2.323665093740769,2.4317585481779806,2.4039500186680685,2.526611577453704,2.707925424908943,2.4594377051062435,2.5680290159535493,2.330410049963313,2.489695826365564,2.276108712835744,2.227995057186422,2.194270801430777,2.180058539113477,2.1334624151383017,2.1231914785092227,2.063857479111666,2.288174493432259,2.233797440714625,2.017899788355576,2.112667515159181,2.152321415993376,2.1649427518823603,2.1949558122018797,2.2733679521585426,2.3779033107827328,2.318982168338269,2.2069443664941493,2.1699144725770814,2.2661849791809323,2.2444956001523817,2.0634633532260285,1.988173606896223,1.8868812924979261,1.893150017734822,1.7313597951767823,1.7550135540249414,1.6100555483844332,1.466418394384023,1.6071930819101565,1.557455878000339,1.535733870657689,1.4813923311770187,1.4948161889553546,1.484942540755263,1.6244911467416507,1.6927889590361422,1.826985211169617,2.0236230797721064,2.1110968297865114,2.226047188425497,2.3491858672378223,2.505746442696688,2.360754471578197,2.450635363315477,2.345497790697731,2.327802304158604,2.1430392352545535,1.9348629696967883,1.7449332003793574,1.6882851868419217,1.5761897337560413,1.4918061384456383,1.569267218388697,1.5500907218308242,1.6042964521787075,1.656728039265789,1.6328671104122043,1.6207439747117744,1.6755265316475545,1.5712739016016697,1.7446503875988972,1.9371010638679653,1.967718376244125,2.2157686446611216,2.2398448747183743,2.203621913853775,2.1195173514499803,2.1119658993246206,2.0652672579927485,2.0357679798963897,1.919159095068747,1.7575529121547315,1.7877186126452351,1.6689800876774257,1.7143572102615265,1.7737303531364725,1.8791661531364452,1.9168331739587918,1.7510665594464059,1.8086587660346702,1.716963170620651,1.8163992391256887,1.6883506556265155,1.7217992649196041,1.8940871454396735,1.9073722620055287,1.905972778683074,1.7837058728311053,1.9745107773748918,1.7620915742402459,1.8902164201964704,1.8013730894197857,1.6873087994579057,1.6610103189090806,1.7367097862965928,1.720238380367223,1.7217109452038208,1.7534434640273673,1.6982018325724888,1.8692414243533322,1.7560382903583092,1.7985499940474157,1.7168940960299108,1.755562353852063,1.611494126652484,1.5842373801388459,1.7276008526079787,2.341369583860035,1.9154947172009862,2.0504428144266567,2.5860026629873922,2.3503269430742866,2.1380665997774884,2.024430922993474,1.902471113617261,2.3857414786547717,2.109401305533731,2.15824440203249,2.3015211106012714,1.7855052215722809,1.72971096659834,1.5569255424919697,1.478102374916272,1.4439138988183333,1.3790213877701085,1.3392962375564195,1.3092795290675507,1.3052670056885978,1.2776914957729264,1.2950332608577346,1.3069579250737113,1.2832861493684073,1.3643242145499492,1.4161492098990398,1.4436814348154103,1.467698489844608,1.639848405172506,1.6279013313306319,1.5662882455020468,1.5406652187832974,1.6172817716386056,1.4580973369713919,1.518010802759922,1.621269981438298,1.97176700427782,1.8942183354843989,1.691287813943127,1.7824441276526262,1.7674792356531235,1.6726149186062143,1.9053341866743214,1.918004818803846,1.761652662596569,1.821609196617564,2.1214082492692534,1.9668696461893462,1.8776374745653148,2.3268853402345164,2.43048849026988,1.9918217287947606,2.0118160207324998,1.6267574134506655,1.7782702209904506,1.7492442947547504,1.590409480783498,1.637072450609793,1.5586008545589816,1.5691535841305486,1.5325710868385032,1.5262423204748978,1.4237835980652993,1.400115551237626,1.3065688350720965,1.3070839584601501,1.3018186408748373,1.2980716645843882,1.2977058001679256,1.3436965967336234,1.5106183048248993,1.3872208567663336,1.3925189281801291,1.3932553886201042,1.38806614590497,1.4006662377945973,1.5323383121528453,1.4574335640265754,1.3668428018945125,1.498642399812503,1.5810995029193873,1.5126117092281621,1.4857478268906985,1.7907945923594475,1.789408396241636,1.5709063738437106,1.749589008928603,2.0568907422850176,1.9610763409856813,1.7890874367208547,1.5635967018526424,2.301148396027276,1.8955611805761272,1.8050427252946435,1.5462324732913568,1.4080168426236654,1.4992337233978432,1.6567666967669725,1.4139016680487257,1.3924735275924511,1.2259099902169162,1.309489693862088,1.3481112557380566,1.3852596669170565,1.4341723392511294,1.346600996185329,1.3443219951391214,1.3355079126624159,1.3977758323272522,1.4102213718480412,1.4377956700154932,1.4549464920997015,1.5377954380667769,1.5491793175856876,1.7406869481049623,1.5655463223819632,2.2225735189952904,2.3969763752514366,3.3695845240082827],[1.101445004739406,1.0882383423927624,1.3101632711469957,0.9803164017989396,1.0360908717123125,0.9750606929411776,0.9164027875903421,0.9258800477527765,0.9010270223037178,0.8590931547632795,0.8634793054483013,0.91254142987721,0.9430760592449373,0.8934595282243072,0.9445089512037262,0.96549343281319,1.0444626955505256,1.1190049108127806,1.2494172408182485,1.3392624059290434,1.4885895023546731,1.5370549046555413,1.9943733171708893,1.9841704475322384,1.8600652281843688,1.5350843716166893,1.4156599584664284,1.2123194558894794,1.1604423767510497,1.0537453313131815,1.0674389925566232,1.0074407811644062,1.0213950660923992,1.102754472515014,1.1167386280432605,1.175083795019855,1.1544199204540773,1.26676889584814,1.3679462974359984,1.5887553604915723,1.4628255474895062,1.4753503498098461,1.729815070396284,2.0227599405748804,2.5211805927086672,2.9030174490660303,4.190188043367553,3.608456286233432,2.8931385376840875,4.096707584342701,3.4352188906202556,3.0125873319804173,2.6836903168396864,1.834812528814703,2.1547539866427723,2.0749603651253743,1.8754701318780034,1.8870231022023345,1.950651526102055,1.941463826937705,1.6003835978856757,1.5165214214744918,1.4371805813604022,1.6128532718112742,1.5250751576347843,1.4730300915549441,1.526053464473103,1.3089687774059047,1.3354117344875105,1.3841561500612287,1.628847285006281,1.9254047122097337,1.523794526207516,1.5581784662778284,1.3580364421705846,1.5430778367341211,1.3794824737882134,1.3255928577135045,1.3599930562058395,1.439854760103542,1.467524391914381,1.5194633324379916,1.5346059004666535,1.8136907745682738,1.7028826917130055,1.368544227272882,1.4218055411968145,1.3529030880582296,1.298131263089573,1.276116652708008,1.255663839128685,1.4080905018055874,1.2155537213289263,1.067273027604943,0.9927315157258052,1.0241308550648722,1.0358742784971038,0.9608822822588762,0.9304841661325758,0.9675962983227542,1.0126652983512183,1.1048572866442705,1.1254052752274395,1.1370134665610991,1.2325354307558252,1.2671696500301344,1.3488409559530776,1.3886279183948385,1.300789811134937,1.2108987004917822,1.110789634723991,1.0810281331548326,0.951914690383776,1.0026197118049334,0.9585902413264418,1.0087174666277343,1.0995338542915567,1.1718440147297045,1.3110776678881826,1.1180437688528904,1.1143282903079346,1.0444077908987675,1.0288356483219376,0.914928222763313,0.8610453724799477,0.935723179023538,1.0940898115096196,1.0711749584694132,1.1699453546379481,1.3409187834025649,1.4033483159088327,1.5062662817461265,1.559978836061137,1.4910226987597666,1.4322646562398857,1.2942528490885357,1.2910144976368494,1.1692185168454605,1.052981882679787,1.1574802173494194,1.2092308262820486,1.5003736060094162,1.2748987940242549,1.224411639326217,1.441714088458008,1.160962939470736,1.1157663276900707,1.0355411370249576,1.0305923137977975,0.9667749560403754,1.0223366544435373,0.9511300610614493,1.1330941229919596,1.3345688884115616,1.1710365269379874,0.9616707910182241,0.9630652841410651,1.0213876043618482,1.041556163200811,1.1323643258458684,1.1818071454801127,1.1850942123306965,1.2172795431985055,1.309791041248674,1.4446479770441862,1.5077838874287735,1.608108049222627,1.8485677017641418,1.765891314702523,1.452097653177464,1.4316536745905246,1.304196458212738,1.3613350950753744,1.334705465763732,1.281537225778121,1.2312583310320826,1.2043510500883863,1.255689683934896,1.3420560015776224,1.4100939778474597,1.499728140069437,1.3277569468341959,1.4978516072826173,1.709026976598717,2.4077076939055893,1.9893344282677758,2.1829657569672944,2.5840383826560873,2.334429004702274,2.0249500583105715,1.8989831144774147,1.825972542876117,2.40942997850425,2.1624687251469017,2.2255096620978967,2.301372731341136,1.7286459289523397,1.6679476923250411,1.4735399836219876,1.3791261549883096,1.3477042006684778,1.2501442597169938,1.1914562834331073,1.2273176054581953,1.2325875909032822,1.1742676857494638,1.2080421212729024,1.2723782874351668,1.2608809457503052,1.2992053685272391,1.4063224356317436,1.4640680241633872,1.4490676571084398,1.635220763036991,1.7217733477169606,1.635861784593725,1.6435751044443323,1.6227405683561729,1.471810680927006,1.533117474226236,1.475890828750803,1.9564517688429823,1.6772504729523243,1.5208258942398636,1.6077083977079547,1.5561524853317217,1.4960200655781297,1.704852090802697,1.6687674929553342,1.5683480973418893,1.6409397452285428,1.857460197337211,1.7176296781986018,1.708226765586997,2.148446627244742,2.235202572068745,1.7614915623600744,1.9418600853705001,1.5162452465657394,1.646327318817065,1.6234715624132996,1.4531526339349075,1.52561849900087,1.4173902238647633,1.4762345695257124,1.4172703689701187,1.415199602910773,1.2834685521579168,1.22203724688109,1.2093128801526287,1.2094380403065628,1.1802736504980567,1.2116522312308162,1.3011034850642935,1.3194565843053374,1.473754648990673,1.4053771825244785,1.4226926279469163,1.4084322212427178,1.3565630319207953,1.3167831606473288,1.4158679515633403,1.3723653136592864,1.3071932002337154,1.3689826977870758,1.3996888460342007,1.3992941435980926,1.3596805701111687,1.4958858595591815,1.4887606146304067,1.3952815472721045,1.5622046854583114,1.7457090317795316,1.6191400165251262,1.564173369769362,1.441712629445236,2.020319149640434,1.7476298918535214,1.7447861466797685,1.5996182066273659,1.4043617902101801,1.4342380899829381,1.6072814159569297,1.338337852820753,1.3501050959534817,1.1924032803745623,1.2593832137180574,1.178455614848253,1.263595089231021,1.1325595560402344,1.0840777964721375,1.1106537616166539,1.1434632057703684,1.1255111213165518,1.1073266541705387,1.213867224823252,1.1956325662623968,1.1892125418992279,1.1828480779160093,1.5128277991257792,1.2691584565814615,1.7811360220993375,1.863023021783959,2.8280526748859334],[1.14508387997905,1.150736659744788,1.1975614537399837,1.2402688412451237,1.4288673457838965,1.3643677080326333,1.3868066301209327,1.4131944667332277,1.4501800383392263,1.533505585287215,1.5276733363237722,1.5368393322682306,1.6108666772912326,1.6098129317411176,1.703971844085189,1.7314030021995201,1.7983296883213713,1.8974302754294654,1.9936463045212844,2.054849103408866,2.2227657447327243,2.048717690375719,2.6557025854657477,2.598980431048763,2.5458387096168065,2.284884137429307,2.1356629287375903,1.9373646895819725,1.875757962945256,1.7330707972803059,1.832286418588093,1.6912171614564928,1.7345657305508402,1.831195335407366,1.8023588423603372,1.8647597273717447,1.78555699081094,1.8622857225993683,1.96820710812154,2.0182251736824344,1.9756802830766003,2.0251504568094214,2.188464748622281,2.4478835704896285,2.798250962346784,3.2124249225158072,4.483269334550523,3.942679094336753,3.4123252145641163,4.379423933644491,3.7316210198754964,3.309572793942056,3.004284912314779,2.398257091977226,2.540096465293196,2.5130701624381206,2.324643247224877,2.264825723263952,2.3225118135120235,2.4405439365701525,2.1361288390821738,2.1316188712141577,2.158162578318218,2.280207274661821,2.1604358240231365,2.1211760402434208,2.37342090709225,2.0774303072198355,2.1442474009505594,2.1847179521897737,2.4232880113693027,2.7033645053658892,2.349208804475409,2.3135393682174428,2.171110072004273,2.1981628686798014,2.0890795023693154,2.034861690134962,2.005815956775954,2.02610837072506,1.9903825066710374,1.956851719631467,1.9268329663260388,1.9892885129941946,1.947808452026808,1.87700548698163,1.9954819388444003,1.872554158092928,1.9628273164479684,1.9234723695246687,1.9631128424045936,2.083105915919688,1.9353177957698628,1.8330803842776517,1.776750105161076,1.7766447856559924,1.7685726144283307,1.6681829383563083,1.5622320330633837,1.496019903721886,1.6204938610373125,1.597576076503474,1.7020512005997694,1.6315489741169693,1.812147350014258,1.5993937693179836,1.5874869837511556,1.5943719441109458,1.5066762880542044,1.5101681378749066,1.4656169242856485,1.5357527284509864,1.5055983391845313,1.559538877202256,1.6168384849258295,1.689480067253582,1.7981172824545146,1.896741968839287,2.0690376449669783,1.8829263306320543,1.8108856178343222,1.71073281722704,1.7007098888013623,1.5848222928642666,1.5074201356542778,1.5402544656374506,1.3933101032478825,1.5242595279099629,1.4973347211857464,1.6389351135279817,1.5826728418630402,1.6547705327819637,1.7525843091504103,1.7357239207038464,1.73619235880415,1.6565186791921331,1.6468181531447939,1.6600649362427637,1.6520992587217578,1.7721514292049445,1.9006464900128632,2.175417467320584,1.9983789629839985,1.8840903708012877,2.0393444081771364,1.7972471637732714,1.7392633499830628,1.6618947979144547,1.6169019775832427,1.5228985177314984,1.468749671184412,1.429300556619245,1.4296620698119051,1.5668465858941447,1.5484937787182185,1.472812103278123,1.5138408064197826,1.508763773026148,1.6229809330215925,1.6504822287316048,1.7134844522977934,1.7516558089351946,1.7918476229952367,1.840221577365718,1.9356910615144018,1.9560795107892308,1.9865710056045047,2.1962209374241772,2.10229781053207,1.8976227413459512,1.8399974375871966,1.7973127778972176,1.8243928840576076,1.8081263624695947,1.7832117637100975,1.7452810834129846,1.7224458685150834,1.782256298813077,1.81366176832594,1.8597913601746487,1.9654151606929513,1.7523670780803713,1.877116074008403,2.07781972098794,2.505740300856165,2.416157601755274,2.5959787703166333,2.7884840735044443,2.690400373447322,2.2728737729942954,2.139428975052494,2.1169898168818704,2.40423933015464,2.1829266573570267,2.24096971545211,2.2525076334196905,1.7868437091132274,1.691996374065596,1.5161555343149147,1.45559698905515,1.3677368004178991,1.3168365345491637,1.295230117915407,1.2377279012075202,1.1951013598182554,1.1676532055778548,1.1437289605192689,1.151557707258953,1.1265117233449997,1.1473052852052301,1.1964185616057923,1.2363611895791529,1.2561704673038403,1.4920029458342097,1.4387690800396713,1.3937934989098377,1.4079568864095762,1.3440907341375108,1.2216064761211087,1.276531892394277,1.3111583669643903,1.7636078081836954,1.5366459544724884,1.347683117518608,1.4349057695972645,1.4107295131156772,1.457260062754512,1.5766838555386005,1.584657233411365,1.4930079962753284,1.5535257919187875,1.7216712142775565,1.617907308331664,1.6392394456813415,2.0440216111543017,2.1151784761651395,1.7001901704117615,1.8935102053666997,1.5096712012342928,1.6331238833776318,1.599183880112936,1.4345270658018254,1.5154418204782296,1.4201540243150446,1.4854007512772658,1.42951017728929,1.3629221061400612,1.317349916541146,1.3218165856023436,1.1775289639746043,1.1367908958304525,1.1463264575150622,1.1082365730609807,1.1411914235383636,1.1483521490286526,1.3146844274124718,1.2015922983340532,1.2375516940418643,1.2088287661277495,1.190252076067306,1.1961732428111085,1.2494468152880556,1.2069640082674908,1.17336591606911,1.2576450458423238,1.2480049582823924,1.2299637608989067,1.2454659456598454,1.3861127190103346,1.3829850256898948,1.2537207482605537,1.445064936131089,1.6447221743208953,1.5357997435814075,1.4471190615145364,1.2884105469212312,1.8854155639498071,1.5316945531376926,1.4631268197967033,1.286001847921981,1.1779666844229697,1.236276320419084,1.3359535288272384,1.1748362267226513,1.1752888824954086,1.1788252607326113,1.2354145698983043,1.2696408916285589,1.3794364932063692,1.3950051355490327,1.2792851060958528,1.327419751889657,1.2321026456470756,1.3582998235750277,1.3673082827692415,1.2077475885518811,1.2366717763182808,1.5362270207617474,1.2300142437283375,1.403343517088599,1.2675476709228568,1.5178529679734032,1.5821017168262081,2.625965349281113],[0.8594755760174876,0.824875044332304,0.927861826380669,0.7495211685051231,0.8760623205530069,0.7769644170747702,0.7090807413528337,0.7205944368239052,0.7481420055010801,0.7309587064348196,0.729446427498985,0.7425241905259694,0.7882858713029461,0.793514715573097,0.8700878892910802,0.8744624202352057,0.9306220777641021,1.0230669567083797,1.1537050643352726,1.1980537946161203,1.3547619472156638,1.3157412947169107,1.784409912274548,1.771126110020007,1.693345242807392,1.4378574834532638,1.2953865086191951,1.1010513816606309,1.018371797118687,0.8744145361270129,0.9688736737322493,0.8293459750795242,0.8633455668452144,0.9362077810695689,0.9369138264347419,1.0051806338787597,0.9319798026190291,1.053040159481428,1.1333755280052111,1.3051511853305067,1.2961724858571835,1.2882182453728812,1.5729135657146405,1.969497124016271,2.4056284922750435,2.95154520941545,4.121265499964441,3.389186140773831,3.0939876713833026,4.172847488641978,3.3115060978436253,2.8857393307196113,2.5380272938823056,1.7617433935921136,2.0421434109739756,1.9112467065276044,1.7527790285479514,1.7184834226504213,1.7650699447206077,1.8869265235637167,1.4253141108844884,1.3761753451011263,1.293380327937081,1.4629622134249642,1.3795752744523297,1.295570975841882,1.497156895621668,1.2102066779912166,1.321632883869632,1.3781375714475672,1.6543135810320932,1.9755161871980742,1.5640944560488124,1.5302936432525587,1.3080307268237679,1.4708927656631186,1.2346013797846718,1.1706546038878292,1.157668915605949,1.2314035094860785,1.176509490151801,1.2105596993226,1.2022625656877095,1.4424287229797437,1.3798989648589135,1.0844960099490741,1.16608716741082,1.1106458634924912,1.0962574218793066,1.0589935231175804,1.1104707924178316,1.3384593965453855,1.1505933612294192,0.9710280084913517,0.9156537530068503,0.9586956726542032,0.9641591001698491,0.8226999350833986,0.7492869448726738,0.7769740197501472,0.7899682574909817,0.858776894763652,0.8512283458444048,0.872930305794079,1.0230185597628907,0.9094324942825184,0.9748934538506483,0.9831914999567953,0.9459141288932451,0.9407538262709403,0.8407179312206694,0.8150388092908005,0.7403061173615267,0.7629525782237198,0.7829734119167403,0.8717844860040505,0.9882837052141937,1.10144977123641,1.2825027286598265,1.0608706019097949,1.0370067150034024,0.9362069910072475,0.9302047802265709,0.7891626254984394,0.724668467318066,0.7509529973617686,0.7644704807498588,0.8332493781424098,0.8786759527046673,1.0058913931758775,1.0449932343685657,1.1179629847836625,1.1621438812313802,1.1023134741875433,1.086060670188852,0.9781608815411102,1.0325426931376713,0.9623390033882515,0.8988355781812503,0.9779951967249206,1.1231694537465586,1.40029932897706,1.1962290053413522,1.0742462363138314,1.236937684495613,0.9734452894042401,0.919023154063306,0.8349484349010252,0.7924345991462658,0.7311771869881518,0.749046930732028,0.714100893488855,0.8413590714167297,1.2219058261120368,1.0699656190043,0.737678707140058,0.7262008075934459,0.7369469942530549,0.7802779438923675,0.8547642008377916,0.9281854060939265,0.9366074343596777,0.9941256643592076,1.0668520558194943,1.1803996267187862,1.3340173145412613,1.3174426073226129,1.5704634176285521,1.5157377387602202,1.2201776251526957,1.1554763458349233,1.0530981771738248,1.0616483183604604,1.0344446221293642,0.9891328684824762,0.9500214866473323,0.9376108652415635,0.9815530580383109,1.041802904764297,1.0757231480113059,1.215889497778984,1.0017318801854533,1.2081728408278214,1.4392543236640967,2.232341055496931,1.8752360680012377,1.9646687542341583,2.2875106995617354,2.207553055323573,1.7874796790950722,1.6650572170512108,1.5232253446724886,2.1608199576178695,1.8257030711492068,1.8251629812023882,1.8544627263572768,1.3604442965984846,1.2975565353861598,1.157794704818463,1.048601196522146,1.0382498087361913,0.9324620137112615,0.887740895856918,0.9546211534760346,0.9591283141303429,0.8787462651020027,0.9051154821950068,0.997488475155877,0.9865393219665929,1.0128732318984364,1.1400724872630583,1.2242750395119635,1.2156445672153497,1.47233878240875,1.4821119191871668,1.4033179837487753,1.454102511632753,1.3734279459075678,1.2169514011147085,1.2951028901378554,1.305515417990343,1.8118880933811066,1.5068318573173227,1.3138720718135184,1.3772098572017972,1.265978522916249,1.2225334130336156,1.3743214702755695,1.4502223306616833,1.2770219918024506,1.2825258181461563,1.5223447525825922,1.43077385743272,1.366746344334081,1.7690943492066729,1.9104557764659926,1.524632311536559,1.6385063520018175,1.2203116003447412,1.2555512639699664,1.2373689090890856,1.1075785898254928,1.1366366238211025,1.0856582804300665,1.115318956009253,1.0623478106054691,1.1010117114816167,0.9943445530663438,0.9569326675143585,0.9024311085918101,0.9221150100550868,0.9244697157576662,0.9201418011444739,1.029434313150319,1.073058555349547,1.2710723552995211,1.1673314144117433,1.2128348933387927,1.1738292242445327,1.099441818408169,1.0082792995469452,1.0984704027581176,1.144204562613776,1.0572211368438122,1.0914357090525297,1.1814582602581203,1.1759937107999519,1.0990285125172345,1.2677414996184686,1.3627729585553638,1.1773920369554807,1.325711854598468,1.5723962364096493,1.55061056691876,1.433168591164723,1.23940667147113,1.8758308218301254,1.5344154340470029,1.48029969694418,1.2723572451364398,1.1058818703029847,1.1166165094716114,1.241591461208063,1.021891118408884,1.069547696089923,0.9657260903766278,1.0283472410348973,0.9042157059007906,0.963367003549263,0.8774703171597338,0.8525113804609701,0.8553693712767656,0.8517358838340577,0.9677871436978308,0.9029156442371628,0.8802611950253337,0.8720368412987114,1.0589511915918002,0.8492510845622552,1.1004831616507398,0.994188475868615,1.3292900008237287,1.4046597634855904,2.5781809530113486],[0.7774679850853699,0.7479587273709463,0.8587717276705593,0.6279677749318697,0.7565173223558617,0.6649272980658903,0.6133879558954848,0.6214596560989012,0.6758552736737811,0.7018977927133303,0.7339763903404959,0.711994651881865,0.7734540736031118,0.8213872078613482,0.9144233564845909,0.9052435048838772,0.9729125968534097,1.0968663320193883,1.2726167745726693,1.298851413048633,1.4731855829649383,1.4357505584240766,1.8970171142816246,1.903685515056895,1.8075841001487416,1.5690775816283813,1.3923744850451931,1.1769619026404874,1.0707368026143613,0.9117331091501555,1.0291919679365509,0.8664766143947036,0.9166910731543807,1.016526960154483,1.0032436186588038,1.0864344333651814,0.9745368814256528,1.13336073436389,1.203572366633222,1.373587573224295,1.3804815129967967,1.4040441275135722,1.6903417946009611,2.0997618610754816,2.5335239615611456,3.1176771437148694,4.266498363299628,3.4841369823143435,3.2692094880067066,4.2560029431194195,3.3930229122027153,2.954486275907185,2.62597745264921,1.868776280692958,2.082822072443577,2.0092026079027105,1.8644884078555732,1.7928632256811206,1.8449638244383912,2.0101028258197036,1.549592709818906,1.5072378443436,1.4042503779530695,1.5958531026942406,1.5084306203673774,1.416517509444225,1.60677605438998,1.3173428087865575,1.4475770750562393,1.475675361344449,1.7335575363357734,2.056336620430979,1.6637236956762935,1.6510915316991615,1.4091374902553555,1.601805823278011,1.3541285369947458,1.2803649725084862,1.2640342565368985,1.3277143630739274,1.2318458572340736,1.2533018062682728,1.236257013836221,1.4248527231561245,1.4165473677220124,1.1161986922683764,1.2383759896859963,1.1665282154129462,1.193495210641937,1.1492297483635006,1.205443309973745,1.4307909142876538,1.2425014744996092,1.0400130994887253,0.9706499633724658,1.0165819840598866,0.985408984749653,0.8576585550374132,0.7536060446755883,0.7474801430412917,0.7758501352517064,0.8253937413322548,0.8258540869311073,0.814029980736233,0.9040183653708895,0.8346481960103421,0.929484223255778,0.9317527139976867,0.8724233019963841,0.8903876089097988,0.7633399278066217,0.7505710604637127,0.6711470375299491,0.742373161080239,0.7903949330677205,0.9131389436209002,1.0527395094626593,1.2001847347374424,1.4273338911659712,1.1516698810671808,1.1264817778556486,0.9963529146291782,0.9896627295918514,0.8131484583925597,0.7011614632218548,0.7223774972271911,0.7195705811747349,0.767326821070317,0.809799998226632,0.9320818080197678,0.9901637481690907,1.056123333039491,1.1065480863205408,1.0337747423283978,1.0389662833748607,0.9441744179164088,0.9909704318352803,0.9521591620663996,0.9275361316207938,1.0181361932065014,1.2185238447136522,1.4990590853244743,1.2995761836433761,1.1406219965304847,1.3042642539765048,1.0256647887044381,0.957531134561054,0.8403206532981053,0.7657492042270803,0.6896286841979012,0.698148873014016,0.6509839983044268,0.8173847210156925,1.2199278836328618,1.0522392946212222,0.6750584871481062,0.6814184461747931,0.6901710404961428,0.7490138325075394,0.7885658204693492,0.8962481315086902,0.9550202874060499,1.019781914239493,1.1022610507472053,1.1980608640269446,1.388319671270368,1.3177801024880806,1.5882612420872932,1.5191894686838503,1.2295590591138983,1.13920321689059,1.0411133383446112,1.0490720473869997,1.01645454166471,0.9754086159088003,0.917273157302858,0.9288659407029466,0.9666235882768,1.03759715350559,1.0438879868550817,1.2061783153613037,0.9300056178714035,1.125700806706699,1.3505157289056438,2.184813713794032,1.8531790922181244,1.9413585808871372,2.2659601376146847,2.2177621596918673,1.8243439278454956,1.6878663948649648,1.4952417137795915,2.1164998161313315,1.7927752285159992,1.8007083896836422,1.8199626864460714,1.3211186769619148,1.249882699408877,1.102018657186644,0.9864572165482225,0.9843669444447968,0.8679196651787485,0.8279285987809099,0.9120053946150533,0.9255935981518931,0.8546351738932481,0.8761871854867439,0.9861618835176785,0.9888351012935872,1.0164303254552234,1.1542223547728838,1.2644753224085337,1.2548842906643147,1.4937944318999146,1.527320825748203,1.4059012654854222,1.4997611734993181,1.4013102748807047,1.2482194043463173,1.342757807746982,1.3484695582561779,1.8600691890182481,1.543821057582197,1.3221073358985163,1.3733357035508382,1.244572022173993,1.1868590935311751,1.3244686918957487,1.4417989513366525,1.2413119949913523,1.21524018628146,1.474738001672668,1.382357223916397,1.3101479789035624,1.714864335300155,1.874458594663942,1.4763905104219825,1.6186857813680842,1.1703808490418055,1.2021047121569401,1.161573718945454,1.0398258185462703,1.0718288526064954,1.020671554877597,1.0363736415048383,0.9949991222685782,1.017095512991788,0.932882258575772,0.9038184781411539,0.8750545881002959,0.9296499373429008,0.9591485650725885,0.9450507033054699,1.0716835437921257,1.1467208227969834,1.3538458172316359,1.2200342246444509,1.253731503167055,1.2054286300747135,1.1110187658612036,0.9936967856856748,1.094447397272746,1.1705218189205955,1.0582485844767366,1.074238095333619,1.1852165116206879,1.1784059937097304,1.0763530956365677,1.242125123787632,1.3432335416904098,1.1774014757743798,1.3375021491725043,1.5940277322586807,1.6103936088298192,1.4719489776648456,1.2534050555198872,1.8920177618353546,1.5653731909570474,1.5089680537043815,1.2499112372948442,1.083119611184539,1.0730872185788114,1.1504075498689703,0.9690999877763056,1.0770248948786048,0.9501643487243416,1.0180039935862606,0.8425283437596974,0.9074991487418752,0.7970671495163775,0.790400189911643,0.7814237189717976,0.8032858013320043,0.9263034659794908,0.8185012166979828,0.8343147234522937,0.818272896699263,0.9706145129027636,0.7909030141738407,1.0079870809127949,0.9709870619867567,1.4237354289834203,1.5180551466342356,2.5943083683113506],[0.8039498144772625,0.7886338192455616,0.9323571118849334,0.692888267144632,0.8222253511707271,0.7223453457906538,0.6752302002672943,0.6854252869147863,0.7108844899216565,0.7327971214814226,0.760849214050869,0.7477237624810757,0.8089641486675266,0.8429979942065445,0.9261756132342894,0.9223097123403076,0.9801479711871955,1.0923226122100407,1.2616033467717007,1.2870750821703931,1.4309505737815682,1.4107651050305197,1.8255588480505254,1.8372262243285948,1.7622455508559127,1.546760957969854,1.3876651735445198,1.189427018663541,1.0803117252780683,0.9322733958039152,1.0301645039804608,0.8857117052100062,0.9229858734639129,1.0147641227719337,1.0086993928783083,1.082561643637569,1.0120343378889485,1.1550055131131693,1.219741312401199,1.376403995200204,1.4125290816025615,1.4115927039395493,1.6736631774823023,2.1015933375569587,2.5229753073781263,3.2058498340311035,4.265671255866908,3.4025009096249574,3.40182694909711,4.331574118038158,3.3583148319435874,2.921596254692586,2.5670970133468454,1.8927677081171494,2.030272338325923,1.959005315896662,1.8306672283134395,1.7552408149607666,1.794571817469467,1.9590944865303388,1.5103349762949183,1.4682658168484009,1.3721303577750943,1.5402144146479075,1.47086720746748,1.3890378968426835,1.5546703261924046,1.2955236115892028,1.4227747052447486,1.4538978828329898,1.6733685817056896,1.9769258324069028,1.616379240362508,1.592540057706102,1.3760386942029799,1.588861120536636,1.3273629140241974,1.261518011045334,1.254147820080446,1.3151745430321515,1.2216893840758458,1.2598175727012735,1.2581044422832486,1.3998294957925765,1.4382225158603223,1.1318199339887018,1.2320447448281333,1.1719932027945565,1.189269143765648,1.1561943776740025,1.195860412076909,1.419790444251974,1.2361621455882443,1.0449229914331835,0.9798977079991771,1.0378006989895554,0.9907030355605376,0.8750401885142151,0.7838680491732928,0.8111751755851996,0.830748902434982,0.8906580236664959,0.8614440640724325,0.8712382452123747,0.936991013306986,0.8759075599321093,0.9591389793576389,0.9614509001455567,0.924650579219194,0.9751645976562108,0.8383647962996704,0.8195909479230126,0.7511323906379566,0.8163348777632389,0.8354569892229223,0.9592829642684452,1.0909409785997646,1.2333973025200553,1.4271990787792113,1.1432042982616695,1.1252695326679916,1.004303918637377,1.0151968130851081,0.8450966144906297,0.7480637465653751,0.8152338736623864,0.806248414277981,0.8704631698117006,0.8761142817292735,0.9662496316164836,1.0369776569017348,1.0741790753985045,1.1176386512566168,1.0378543985546278,1.0664409048720263,0.9881974452193206,1.0547893928155452,1.0076323254783763,0.9969098089479079,1.0885504388159013,1.294190000646989,1.5327874563367572,1.3221881380961753,1.1821296087961628,1.3234637013330544,1.068964147557594,1.0080985098583497,0.8998539291957895,0.8285518529782129,0.7663124975724489,0.7702773772220449,0.7254891065699135,0.8799725474295734,1.3057624035309703,1.1092543380716628,0.7427215151610123,0.7468047270339709,0.7722233888247569,0.799452790088476,0.8291820331848766,0.9332577842702915,1.0040818441475134,1.0706493493151699,1.1410214823246956,1.2190698567315315,1.4443484517228105,1.331732862715361,1.584610596549537,1.5469904372252257,1.2806444235732344,1.1787602269658706,1.081002680250333,1.080162700478785,1.049062249099057,1.0075557500970402,0.957078397639416,0.9673863291907798,0.9996586710186791,1.0639708877344158,1.0499882688776527,1.213425585363858,0.9525968989934264,1.1114528757777167,1.295361580736354,2.1578295840315644,1.8358129872143765,1.8870271028661314,2.209332601369665,2.245238715926329,1.841448093988594,1.7526407567662565,1.4948798048049818,2.0627973170089353,1.7767577906179477,1.7968873806941905,1.7971451691912752,1.341896218989162,1.2492568454477389,1.1298908215308936,1.0338239401423748,1.0035733181936706,0.9025165172656022,0.8904429148956509,0.9429258990980658,0.9449839753477791,0.9007570389802833,0.9182168493542094,1.002297445804239,1.0096402462220728,1.044073646675944,1.165164768874813,1.274001436940622,1.281229058503224,1.4895941239509731,1.5180150371163574,1.398058044076959,1.4881181797274865,1.3603818743794203,1.224313524900906,1.3155799328890323,1.315885096207215,1.795512599576116,1.4973478869788288,1.3271470856772163,1.3407785231412348,1.2194477206829328,1.1773933931016616,1.2841490544115912,1.4276717192177493,1.2250190737808015,1.195819989100201,1.417979306820206,1.3468084094212522,1.2795039256228604,1.6419246337030435,1.809159074521393,1.4591071544498322,1.6260218276455498,1.1892123040290914,1.207974775655553,1.1428393754342994,1.0348975364969821,1.0657896463467271,1.0397774844779573,1.0561659187560244,1.0002494105047988,1.0040225309897675,0.9580109580697526,0.9404859153510385,0.9096503480328969,0.9601604737327811,1.0063379203537237,0.9838640499884866,1.0953014947623498,1.1827175595619668,1.3813000699250648,1.2274593453531886,1.2459853994361751,1.2118198015061448,1.1172198583633661,1.0063501390177187,1.083794832289651,1.1593576114812054,1.062662934976602,1.0770319963716033,1.1722725562661367,1.1709911490379552,1.0786089008024637,1.2180844335664938,1.3245622884855182,1.1747976273440421,1.3210616145609693,1.5213198627190097,1.6113156949921834,1.4574063778096666,1.26323494144006,1.8284970878729778,1.572881011933957,1.4774539664035695,1.2292778534464304,1.0837276414001578,1.0854289970790862,1.1376362952746772,1.0030563510235224,1.132553941644618,1.0309678244793894,1.0678465549034146,0.9015520330494452,0.9658053096363984,0.8746075040962638,0.8537958593843111,0.8472544940939383,0.8561845804943696,1.0711134997348057,0.8899837870274003,0.8932554796702151,0.8939175353030784,1.019464316616709,0.8507997900576618,1.0153527574341146,1.031469651437855,1.5231151703228587,1.6584371219038954,2.601255485276202],[0.9444755934207564,0.900985172913652,1.015773927742711,0.7680427551912838,0.8111088014015781,0.7858794996051035,0.7012241477699409,0.7255769426789757,0.7639402892018744,0.7644869989457923,0.8221238736936832,0.7914696111758293,0.7884194343986961,0.8602625491235484,0.9226532776190652,0.8884469884673669,0.9461004298151906,1.0650479275655154,1.2392434625537767,1.237730573637944,1.3894806325007896,1.3703677444146212,1.7873254143009094,1.8257918447935293,1.710834714805429,1.5019293609124065,1.3085734881104694,1.1194102232520555,1.0179452706504426,0.8602180170469506,1.0046584643522365,0.8350773886246335,0.8906650560541701,0.966188911505974,0.9363818678551883,1.0099815118846436,0.9115264272424488,1.0464324385336063,1.095114862405705,1.2375751425651755,1.3058263145657287,1.336178267859445,1.5797096685271674,2.0046294956891018,2.4659458892241197,3.1254377982197474,4.2135462458006225,3.3331301804000373,3.2611395429098455,4.254387602282763,3.2639460420215833,2.824347490988503,2.4512277600812045,1.7487400449426582,1.905950106876158,1.8475714927948996,1.7340198522225443,1.657634249906242,1.7093726765111,1.8819493933593119,1.4388427055911392,1.411377406437329,1.30993103275055,1.4988296434274586,1.4270142082000563,1.3366717888165411,1.5284689797298756,1.2686167949371179,1.4214507694231826,1.4766302819644719,1.7022470293917837,2.0307488490139383,1.6521245298129408,1.6122459661943938,1.3668833467077055,1.5690710721178434,1.283034710812557,1.2214825747271365,1.188032834640783,1.2090888657720613,1.0995449687956254,1.1445029606164623,1.1322441416290283,1.3187434199771568,1.3371927600362274,1.007042099506002,1.11423244266516,1.0678337638198376,1.093603832127464,1.0905583569659474,1.1426070187091868,1.3954101362779077,1.218275650222425,1.0342707425703108,0.9833963137520445,1.0717373288711742,1.0380242502699975,0.8785507732998764,0.8016337700631655,0.8344450576849496,0.793893695155423,0.8679393528591121,0.7721562397769389,0.8254547285552201,0.8237043191524681,0.8310020438869297,0.9510217943706649,0.9768258284463153,0.9339761596201138,0.9540983296756445,0.8354384931871501,0.7439258675042721,0.7098767539413604,0.747110166476504,0.7809412774339035,0.9067692729785237,1.0499402952600452,1.1841057024767954,1.4245568456630835,1.127297900906848,1.1398912790741929,1.0119473187731962,1.0111927140128538,0.8209884413667918,0.7316357856548192,0.7446132896192748,0.8080394296056318,0.8168073634127192,0.8539414559857067,0.913370961415808,1.024405725415244,1.077258114835382,1.0810937839212993,0.9879536245702153,0.9964899092198225,0.9094087112559698,0.9727251791485256,0.9045847767178341,0.8803522470898212,0.9659730339292925,1.1804435965954363,1.4268223373874478,1.2326379236578404,1.0740119648752422,1.195232014655736,0.9663400868953868,0.9130062582094485,0.817025331120821,0.7404353913801504,0.7442375791361242,0.7530629645772428,0.7753754331337449,0.9550195624719975,1.4023284749847036,1.1364900268515796,0.7774830519495172,0.7384536225804987,0.7561031633201317,0.7445806216221973,0.7472057399916864,0.8256911878783098,0.8756760818053484,0.9367394756423216,1.0007567598466889,1.075498296889184,1.3028991946144335,1.2194682073759084,1.5004791242974251,1.4790314249031802,1.1730558232679957,1.0674241852217539,0.9575741031516631,0.9487971082955751,0.9117314619674342,0.872456376479368,0.8248609501825784,0.8629760194437429,0.8679767962667159,0.935986986145139,0.9163832352528631,1.0657930450425839,0.8526934397449347,1.0376532382849244,1.250011326776416,2.256768512253543,1.7975986080555992,1.8674241524914352,2.1767386163921154,2.1817244647033047,1.7284487512609954,1.6244654292076401,1.4106363771574828,2.100156872156143,1.797874937608477,1.7762022390522854,1.7758928082125218,1.3389621184243363,1.300517935998979,1.2054435114161195,1.0894772689675922,1.1373165486976244,1.0397777646654605,0.9989463644867834,1.1118986763965837,1.156852257124164,1.0891126878122335,1.1008611493442733,1.2360923282224068,1.267234542006704,1.2705711402759612,1.39876543194482,1.5344861798665481,1.523094412737828,1.7099653908968162,1.7529742189411368,1.6067773739435665,1.7728336255128376,1.6281027017065102,1.497958686482026,1.6152769970213445,1.6231546968174941,2.0913495141070007,1.801363155900167,1.5999368882230325,1.6097407552853933,1.4690747540687328,1.3780708007855471,1.4856524957782762,1.6297021399779779,1.4013957357827171,1.3588387140100282,1.6097612898225433,1.5167580268889767,1.4310802459747716,1.7702035056668646,1.9601037973062325,1.606733741529572,1.7059454439511264,1.3109431257047564,1.2777555798610507,1.254568804912519,1.1917701471612248,1.2113164228232278,1.239101899646385,1.1680137922195901,1.1390885176209,1.2053114454392564,1.142296811732791,1.1048121356809053,1.133085856247502,1.219198449177186,1.251994017544563,1.23456971390076,1.3770304630091794,1.4587616502919343,1.614572269808273,1.514031214457531,1.551216618592428,1.5074634698825284,1.4106407438134436,1.2687399070309384,1.3651807167570107,1.4702890463308407,1.3288360998092281,1.3231283395039652,1.4552969533581857,1.4478835976102118,1.3156305802247525,1.444761933244043,1.5585651868522987,1.4178971128026587,1.5445019855570008,1.7942219337735983,1.840616697585907,1.6922177937066378,1.4850476180877907,1.9701653083035098,1.7214856615356626,1.7339980709471616,1.4329798935483884,1.3002899402426273,1.2609003577316937,1.2766293927957182,1.1761130296909559,1.3236818547610616,1.1946565581247295,1.2462651432439558,1.0069373119235123,1.0355220105878342,0.8951611311071169,0.9581623493118244,0.9401944495231983,1.0211312959507421,1.1332469335069923,0.9864558828340158,1.0596153903831227,1.0456547691804643,1.0984661629604775,0.9730876153800307,1.124623583061433,1.1832808674487556,1.4910466598148973,1.7012049014293908,2.706445464971913],[0.7912025260209222,0.7459969070159217,0.877270381048895,0.603524311436967,0.7423740551481958,0.636296403294928,0.5370812986101976,0.5406405775726421,0.5562993374830203,0.5145909089303918,0.5258575683166686,0.5354364139627049,0.5835726678467726,0.6133238100883426,0.6846427999602303,0.6865642927297428,0.7566795216034853,0.8602655645224409,1.043524533533839,1.0765055919614699,1.2350101659057262,1.270854219233916,1.6717561706603183,1.6792127114788364,1.582551221956955,1.3352423458623044,1.1601748850283908,0.9743343072720646,0.8637459831854299,0.7175082279879876,0.7907080303489876,0.6661724236087896,0.6800215977182436,0.7764685289591939,0.7915902459664416,0.8815307552155239,0.7903313804466398,0.9503636589039628,1.0189700312171455,1.246274632455398,1.2539119650023887,1.2127902311851562,1.5100912857975273,1.9473714636299955,2.429979386958302,3.0455058165781352,4.160338950308873,3.3450253750804126,3.163055780143932,4.257871021569372,3.2779714614659725,2.8661512264040128,2.4559662220068126,1.671728225857851,1.9573382406776278,1.8193504272026093,1.6825141516590165,1.6476563076492416,1.7034200997953286,1.831246818062681,1.3793893301077524,1.2904718039126262,1.1458362665398463,1.3249812616833925,1.2955655035954687,1.1928196410966494,1.3403571173771684,1.0642144222330459,1.1995924706980448,1.2405689566126747,1.5037183778129248,1.8313450601529917,1.415467842402196,1.403833552200293,1.144881175388475,1.3511822339840736,1.0906463792641905,1.0083985597712877,1.0130225427300013,1.1163715524837323,1.0412751967502873,1.1320823374315288,1.1126609563378358,1.4100651228428736,1.3723264392864614,0.9719987747185486,1.0414386484783773,1.0088933378604834,0.9689014972765547,0.9067906438473338,0.9691075484208332,1.1961518196240934,1.0032857740305468,0.7901578662742046,0.721694293324955,0.7785251994054576,0.7753235149234554,0.6419851748184836,0.5787636401160423,0.6413233336160858,0.6019822952925343,0.7481461494867339,0.6920821634176592,0.7702404255333252,0.8159874314684085,0.8718241930330101,1.0327212726952326,1.0813342605982688,0.9803849400056477,0.9348058837781287,0.8086379927784648,0.7194541665180497,0.5774237565737389,0.6362963243585116,0.6267955629374068,0.7525854893543629,0.8698168366888023,1.0119463353804732,1.1984050891675415,0.9384357737612139,0.9454370777754754,0.8173665041797227,0.8208533292315239,0.6373672121197107,0.5386393513222282,0.6279718465276818,0.7506494096592912,0.768506752003969,0.8839187307625935,0.9842676685156866,1.1240403620878767,1.1972316483110423,1.2102393416047428,1.102327402650145,1.0891660980808462,0.963719351599123,1.0236803009340252,0.9261848311300258,0.8534185533356321,0.8858843177040343,1.0619099629451392,1.3063745814736674,1.1044725086958693,0.9719759749597673,1.1414287279053776,0.8641124566669449,0.8188289446819388,0.6894892023177907,0.6377971858097418,0.5791924066143218,0.6478987427248372,0.5828023358312424,0.8255312841762587,1.2284257958999019,0.9667891587493374,0.5831557245877197,0.5524164561774314,0.6187000084830131,0.6185545700203423,0.7055037667189494,0.8183299924573227,0.8411724695972134,0.9052486347443137,0.9933985596512401,1.1035840807465018,1.3187320073075537,1.2692804621349778,1.5335997378773734,1.5191337814979304,1.2146267926067646,1.1341063328922887,0.9983159281442173,0.9950205772083903,0.9476945666777019,0.8832643096237762,0.8242399635317204,0.8241023414601975,0.8514004630718421,0.9418986393306623,0.9810059577096515,1.1229406146885692,0.9062025427137367,1.1385414787264094,1.3488279739368303,2.352287858059167,1.8088742096440196,1.940864652262714,2.2664475421664254,2.2061879742578796,1.7715670349437542,1.6555696879569761,1.4866306560689455,2.2194454537661943,1.904111048760863,1.8764889014819488,1.916634671526831,1.4784815076856894,1.4436022556014683,1.307250608965182,1.1610131014237008,1.2110928852821943,1.0796621829185187,1.0083404778331908,1.1316384283237981,1.1645459492917116,1.052982187511568,1.0705281050242423,1.2022111604718022,1.208291566565173,1.1839080258660781,1.3174623446753355,1.4393443434662878,1.4037218547085764,1.6271284301789157,1.6599959701730966,1.531730295688538,1.6791842563551331,1.5953067421744633,1.4612868496454285,1.5679440526508361,1.5873937846073338,2.0784355046798164,1.7748343466010599,1.5861221748289394,1.6434146249289376,1.5222291721772827,1.440426661912108,1.5728707705677043,1.6666539332823185,1.4766404665653818,1.4666582795247,1.7256670375835053,1.6175320688549875,1.5429716286309583,1.8918000892058218,2.069654075674155,1.6933959449541922,1.8027813973647073,1.4028233185489132,1.4084113676392318,1.3785420734397997,1.2831436372386664,1.3004765121146278,1.2812399861778765,1.2342581135514452,1.2189904243334844,1.247368364109687,1.151849507975241,1.1011505374394026,1.1166501119042145,1.171448562295809,1.1591770844023246,1.1482552546007783,1.297704366438868,1.3484020849561744,1.4827379562018113,1.4132483181869115,1.4661584415733493,1.4385038169018254,1.3760083914764416,1.2696691679456813,1.3752556204161226,1.4410494974792947,1.3129040641357288,1.3426452301773402,1.4603988413602926,1.438384330065398,1.3455704813837779,1.49663956038428,1.5762980957741373,1.4349370691430228,1.5974587375275517,1.858082667530006,1.840360414434789,1.7132764259958473,1.464791424246809,2.0106728316762696,1.6884988753028174,1.6734654335749,1.4014464024829627,1.2645805575835056,1.2021225488507528,1.2503823221255126,1.1245525781823744,1.2674145466900735,1.1686455677676468,1.2274217298765375,1.0209554615394774,1.082551472957329,0.8936206084735896,0.9122497831934467,0.9071695321297109,0.9794782706958157,0.9521328662082661,0.8714371081875757,0.9658459877568062,0.9074252575869638,0.9042185003770773,0.8132763943816137,1.0783408396252423,1.021251392789049,1.3749329825191838,1.5413592497533852,2.7041480351857548],[0.8435012424395653,0.7983984398908439,0.9208560070838092,0.6202683601262273,0.7170747611054874,0.6287658904553018,0.48572486332170905,0.49070325435253764,0.5001056775290744,0.40897806479268567,0.41492170851545657,0.48089652484330425,0.4704281819001917,0.47005240788406427,0.5321011565626385,0.531738003178191,0.5999554053330535,0.675249394737193,0.8302136208298663,0.8601342927756404,0.9880136201109926,1.0488798953339284,1.4220771875446472,1.4267962546987218,1.3497111302382325,1.093688934257113,0.9461696668058435,0.7799284066993153,0.6856997964241233,0.5491485970236142,0.6213452798619213,0.5137195985935457,0.5310067985223705,0.5917230703326801,0.5941390753982672,0.6667464422210708,0.6070099194990541,0.7506648616533429,0.8135421832812231,1.0144751309608746,1.0656837159243864,0.9980656438990729,1.2417742018813052,1.6907263447426293,2.1898338496109644,2.892000865325408,3.9163238961846947,3.0335195406172963,3.03434337027771,4.160032455446341,3.0215846019931183,2.6250462345128693,2.1489142058022837,1.4165611966332208,1.6638268404317496,1.5088044186869225,1.3885104159570618,1.3777897136461028,1.4445501350583299,1.517234392733708,1.0949142947513846,1.0340261355829028,0.9233822653657805,1.0897770508375055,1.0383673475685615,0.9689899931691929,1.1053907251895525,0.8427155049694001,1.0015719661218119,1.0913282034566076,1.3504501534305822,1.650606787645502,1.2558949433332933,1.1949896734008012,0.9531766040196188,1.1681312149406435,0.855610765018924,0.7838030749417066,0.79261406867418,0.888034931750148,0.8395799058865147,0.9240920624692451,0.9642582389751474,1.2214101340051449,1.2054862977702383,0.7865986905524448,0.8214301943591923,0.8250061272675778,0.7430203020932278,0.7068788294861562,0.7555960380242899,1.0128767568494101,0.8118135606848595,0.6216797285487513,0.5645313281452338,0.6395215248886612,0.6468802271411508,0.515720808090233,0.4882552283029641,0.5974220420102967,0.5038385904863057,0.694517686564342,0.5972483621938861,0.6902363126338878,0.7252740348210686,0.7756853303752387,0.922228984464049,0.9704327527672799,0.9003974887796804,0.8846082145539624,0.759424069534393,0.6332615571531638,0.500440748082901,0.5227927025984246,0.5042379511875237,0.6068290908401818,0.7063991204738844,0.8213447953770089,0.9876216626565278,0.7417715226621102,0.7607887331419608,0.667973919519604,0.6733342448536656,0.505626093421613,0.42678136358279756,0.5194220154621668,0.7146969490206985,0.6965568566847371,0.8001348482724014,0.8773210586400981,1.0079785876447513,1.0630391505371661,1.0654054412534242,0.9598836148586878,0.9637801369530196,0.856411135267681,0.9316551232001578,0.7895505861397832,0.6731124618580117,0.7197644731410393,0.8800308235036187,1.1179296504002987,0.8981272227422565,0.7819976794767136,0.9497211180070717,0.6804048892513149,0.6542238218858404,0.5547890128396652,0.5238782331174159,0.5073312556371511,0.6061893955951546,0.543653317728539,0.8039598782690245,1.2305378104031448,0.9745331648854815,0.5398553942797626,0.48711099024576976,0.562886071268931,0.5234124533074255,0.6130869529842603,0.6951117708944691,0.6661865498638068,0.7328361553366374,0.807116445455248,0.9293580674396396,1.1210301283831015,1.1160610160865325,1.4207071590091942,1.4326786081525886,1.1034781591636935,0.9892531517041766,0.8369940541072968,0.8287521898003628,0.7863771288778185,0.7196254678391824,0.6832803835376118,0.6940734031697712,0.723224685856327,0.7645191136551717,0.8216693784478888,0.9599471683165918,0.7679956008407286,0.9871710201082771,1.2190327756484653,2.367469473802507,1.7837844793652526,1.920576453698794,2.1574559321091793,2.1321266901146982,1.6097078796014552,1.4992089665235455,1.3241463726686453,2.0775884266058373,1.7830202846221233,1.7343179677563727,1.7228590366909422,1.3107586291515207,1.2841997263711276,1.1719133315168528,1.0586522619683754,1.0715766219067708,0.9702148791247592,0.9301486139811526,1.0199090101401378,1.0360918554166096,0.9718805643539719,0.988899644465759,1.0899459909754594,1.0978984386279897,1.1113441232331323,1.2359730134356064,1.337203854981499,1.3224236854103992,1.5358562016745816,1.5679013144919114,1.4494823007680886,1.5294967320708894,1.4267380804036989,1.3047061826628659,1.3836897624054039,1.3771163063983207,1.8392834656693378,1.535891623755684,1.3910729772857544,1.4412994735948885,1.3106294756178374,1.2581250807253581,1.3639367087279461,1.4876747622745352,1.292792045962513,1.2593432217708818,1.4752026812227799,1.3914509188439932,1.3359221295067474,1.6976378539740802,1.8471791957068922,1.5036071542667906,1.6698753217232913,1.241704931913247,1.2460210680662138,1.2010108981894339,1.1155596355146278,1.1507263670022772,1.1310062593621448,1.123517220228497,1.0929107466576637,1.115943299329719,1.041615257068134,1.0129549932901445,1.0002379040811684,1.055983873088974,1.072915096065378,1.0616261819978599,1.176115412525139,1.2492692468348723,1.424327700269573,1.2978622804053104,1.325803555871104,1.2873953898257622,1.2021611281580948,1.1026044704293712,1.1858040552823659,1.2421591645627525,1.1536423922389616,1.1685103984508587,1.254165680466272,1.2476703134534877,1.1630164424583798,1.2819307188841516,1.361003449391328,1.2419370467207378,1.4094221048924043,1.5906183850039681,1.645950931293168,1.5187175191391953,1.3210483012916578,1.8704905407598398,1.613007624067989,1.5299558874229986,1.3043432587887478,1.1570173544364013,1.1513407837502172,1.2145478988513776,1.0613911297640248,1.1916015249215008,1.0827849483677678,1.1322744989250124,0.9439104927762751,0.9965211835010699,0.8334163125266056,0.8690490214686035,0.8569201414645484,0.9152846895687082,0.9519694314937664,0.8548127742471381,0.9337837761223862,0.9049437698341537,0.9261987697341062,0.8495051925741566,1.1217831351170542,1.0332851266193828,1.3840785550166856,1.5182057223905334,2.569439260256807],[0.8090513937844571,0.7973930656927177,0.947879258463984,0.651862375081252,0.7659364473627751,0.7407550680722487,0.653401714666758,0.6749777316521414,0.6872245320546623,0.7028776245214826,0.7199511381046467,0.7131068123753552,0.7496903907656141,0.7907755677021456,0.8341193450924071,0.795354722900822,0.8688207504041063,0.9595617388059282,1.1104042637401337,1.1053762798726703,1.2210639433826456,1.2756158230883854,1.5704687526516143,1.5526359386113708,1.494993379742511,1.303422582916038,1.163649092421318,1.0404410934621902,0.9505656010401793,0.8174610065162583,0.8888132207872309,0.7708655411577631,0.7833480801511791,0.8474872961165296,0.8423545294422924,0.8976478921690472,0.8712990973850567,0.999551877142722,1.036121089069041,1.152544552182584,1.2796809257121355,1.2384834690002176,1.4365218685311372,1.8585938586716104,2.350497368567016,3.0623143202150946,4.045015552681612,3.120547526163287,3.1962291401503613,4.22751159264001,3.0823958224575643,2.667876600066522,2.2061447158330143,1.5378512243321634,1.6950231785107082,1.6390504644984678,1.5693134426747715,1.5215022659943305,1.5869880114142756,1.6703923075157623,1.2704815381116616,1.2481239396176564,1.1522003545671577,1.337075886133875,1.2457755129797092,1.1908636670031632,1.3118859757021288,1.113548323869629,1.2691087557267393,1.3123015221618672,1.5229743132172309,1.795897852879152,1.4596704565900454,1.434657004386338,1.2053032622484923,1.432556239776934,1.0973569369672789,1.0552936048160118,1.0542458503636338,1.0895846643193472,1.0114328731878879,1.0683956507204873,1.139144036932743,1.2881463465486311,1.3212476340135708,0.970557718162076,1.019489677622781,1.0051385932964352,0.9653516844260477,0.9735952894106752,0.9879689447746751,1.2241283674847154,1.0448527091667028,0.884007661528671,0.8490600521875066,0.8976531565519432,0.8900566628069667,0.7534110683858403,0.690907384885331,0.7382007933752138,0.7320437259899163,0.8653891093241716,0.8082154499648733,0.8646165012893879,0.8842611635690957,0.9146962429143586,1.0204836021164332,1.0856080707590572,1.0166138671274993,1.0035103433050805,0.8853817185388083,0.7778583859391265,0.7141099154448952,0.7645861079360181,0.781492371392822,0.8825513596778252,0.9967923449352596,1.121206523195639,1.289966947971648,1.02353800681077,1.039863037078612,0.9506779690265773,0.963754845853071,0.7922117503355255,0.7088670121470206,0.7670424578057097,0.8633676021357396,0.8699078985101605,0.9341186306926201,0.986010365110068,1.0989233065262216,1.1406230296886677,1.1300730306684357,1.0261528258844084,1.058607784918267,0.9789512984031008,1.0376154733874172,0.9519827100321155,0.8931013497833693,0.9531524475873412,1.1427154576965581,1.3354890176605263,1.1583406565510328,1.0377213462966872,1.1423459848667774,0.9357551229008725,0.9104903763364981,0.8063641854640505,0.7597389785914893,0.7433228823976885,0.7828622045296207,0.7105783581143993,0.8946419286517678,1.2750170837868808,0.9870810528558341,0.7139312032449204,0.7046067029443951,0.7617248747279105,0.7479582258032023,0.7950436168712605,0.8662205688362298,0.8590221628051433,0.9473673739755523,0.9913744655455186,1.0708769307582389,1.2528906881899065,1.2078379439125715,1.4910559579100089,1.5093603636516022,1.2171453490447697,1.097028750711798,0.9834038769197923,0.9645390882119165,0.9199612069731158,0.8762286986424997,0.8522407270467577,0.8889244739080114,0.9127682616164156,0.9086756257995354,0.9471041083391718,1.069006923072934,0.8957746971638865,1.0626623144784293,1.2741758460856445,2.404804697124844,1.8390087202843874,1.9199125432472803,2.1801500391417696,2.136494354504866,1.6760506602990488,1.5991995834309658,1.383132733906507,2.085148814599978,1.8147472241091356,1.7574607058082847,1.7257993316451556,1.3493079948504358,1.3321333180992279,1.2572342135223957,1.1508491987271894,1.1754152813743903,1.0819389706443796,1.0481525275205343,1.1453190178847001,1.1659632332755945,1.1108112209763619,1.1121916724733676,1.218912570235125,1.2356816462684361,1.2385526298999214,1.3411275203428283,1.460764047959575,1.4531512378868023,1.649718832559186,1.662844561615343,1.5489799394094024,1.6567482167040073,1.551655546505858,1.4283048468974762,1.538800826873919,1.5590913507040092,1.984802266337963,1.7110386413206522,1.522428850987577,1.534644751157786,1.4258771833701278,1.399010379691854,1.4648023666330514,1.6361771483362577,1.395137389763499,1.3479718383075343,1.578581308985204,1.4954315846935797,1.4237285322886186,1.74944413614681,1.940406448392283,1.5891699863501811,1.7376226006755457,1.3422329456210396,1.302571782468434,1.2852680766690636,1.221337079887545,1.2556322393742165,1.2648252080784084,1.2032867656902708,1.1832743912202295,1.2082329534660912,1.160392368932121,1.149087493237156,1.146689319727689,1.21439656600475,1.2546304640180623,1.2146796236712314,1.3369638851918735,1.4032952767196896,1.5678383294627642,1.4444193057320358,1.472856476736893,1.437445657408481,1.366189146370695,1.2555700205119225,1.3326042544915107,1.4202373034250082,1.2964786674532431,1.3054202121521494,1.4053599357922864,1.4004341004896443,1.304823819916754,1.4216822039095953,1.5097057567195145,1.393647519993163,1.5514534361841006,1.7385087604261842,1.8340879337737215,1.6762072017716785,1.4698535090426759,1.9451665119335273,1.6904407568869517,1.6634894951120938,1.3950506944421999,1.2781455336001417,1.227962882058247,1.2405387572625381,1.1804181302378982,1.3483349751563596,1.2525752949355013,1.2779916085158174,1.0629823854687925,1.1022048587553266,0.9463003858108212,0.9938506420769008,0.9853173010874093,1.0446043232414126,1.1276609487831506,1.0012311877461495,1.0257846668841792,0.9886852578532125,1.0368079527806295,0.8977622459539933,1.0901881690551118,1.1059485101386086,1.4466870411441806,1.6589408033793998,2.677007380528093],[0.9677085714069525,0.9536648032616568,1.0464472087225596,0.7611636408394993,0.8930221358659195,0.8496267686503068,0.6972502422701559,0.7389939288409361,0.7040187872123765,0.5966296662510634,0.5950372604381656,0.6377469111316854,0.5900163098358494,0.5880019482989512,0.6204566044230074,0.5943743958120452,0.6477720183896445,0.6909459231829442,0.8370794802839554,0.830173772841432,0.9563710000138931,0.981207755824379,1.399214814900145,1.4146745606096973,1.3193986741197572,1.0647413154711092,0.9112460678398053,0.7607900860756287,0.6947136982626079,0.595957708101808,0.6445385213882697,0.5937461662194875,0.6098090294625458,0.6147001132174186,0.61136326448852,0.6494925021948206,0.6526922661970638,0.7315064894368742,0.7902878937339749,0.9838763763054577,1.0153347728803561,0.9316960433725933,1.1546313239286279,1.6002295282364696,2.1335647036074725,2.8441643947312083,3.8947278846791566,2.978531459838108,2.9357275983051205,4.104186399316863,2.9512828164672795,2.5416618143271354,2.0563115209240386,1.321423147442365,1.5842143539580436,1.416373061679075,1.2941064069001436,1.2991699071051122,1.3730345457200572,1.4390495099190594,1.0172225436399815,0.9683423940561778,0.9004165278888483,1.0529883427521474,0.9734119019267862,0.9219653334126372,1.0925489453329191,0.8324696942266949,1.0122170830886956,1.114971520620497,1.3712646224488396,1.6538712393117239,1.2933207132078324,1.219000813878331,0.9663476037219066,1.1641340512890768,0.8248751272734782,0.7649020081643152,0.7593436717713236,0.8354302593116485,0.8184880327255473,0.9121782900855644,1.0191387246562627,1.2683074399299434,1.2097838485336962,0.8015569239020385,0.7900359260681595,0.8182236255696481,0.7115072155808693,0.6872723178638659,0.7161906739736488,1.0136442923173794,0.8139707645079794,0.6517315836096608,0.6304321612830197,0.7170321008472426,0.7436378582112512,0.6238636618682886,0.6305394546690696,0.7381572940884937,0.6536304698020668,0.8783478774293542,0.7532136564113593,0.908228853167151,0.9652685842728577,1.0211352629049661,1.1863668301977093,1.2517192808603912,1.1915132323572308,1.1232820636101453,1.0203280001056205,0.8274855741519076,0.6958872779274923,0.6548376298316122,0.6072128026567385,0.6443604926369607,0.7039442372920444,0.8181890996357022,1.0047788604201329,0.7479001819029261,0.7795397120582636,0.6947746051304101,0.7064015943928892,0.5782142272684739,0.5814030796327205,0.6594296294871587,0.8932090401334715,0.8682139471478045,1.0353288070430178,1.0926185167638311,1.225090333554711,1.3225154680216324,1.2677841458316619,1.1706701599979352,1.1142717681950194,0.9740468514015341,1.0541549630059925,0.8617757943476113,0.7002067486565821,0.7307122972363193,0.866135961007513,1.1025030490018388,0.872801378203901,0.7626034655027584,0.927620157875464,0.6776392672799205,0.6726987151891298,0.6386853908664196,0.6733239782747668,0.675075429811481,0.8245009590501405,0.7513708781978592,0.9961547720233336,1.3170793000150212,1.0163879314768267,0.7419910983560799,0.6712291079491736,0.7724851167764499,0.6823903970846232,0.8131073555772731,0.8111830863992466,0.6876989656312251,0.7411042425492453,0.8087695681167447,0.955829202755494,1.0856994380009688,1.1906225738102563,1.4930131970692855,1.522080837992994,1.183692978954238,1.0809447594479946,0.8976712668391418,0.903751225822669,0.8705251547930277,0.7991791774169087,0.7976461414313141,0.7681271955228525,0.8486231523427813,0.8164265835717509,0.9201879378595704,1.0161915492089773,0.9477555161904718,1.1517712133609137,1.3710762227214548,2.555133697944697,1.874642958526199,2.044267428549597,2.225092873443809,2.155335194829081,1.6044081248012174,1.462477026806425,1.3835103587081459,2.168807990175066,1.9045819052329183,1.8660268352950324,1.8680399349857686,1.5004218643663905,1.5510294455468914,1.497517120060486,1.3469331671903213,1.4556462741248781,1.3525808550809932,1.2699238556772985,1.4103103944113722,1.4656090662681125,1.3709943732926482,1.3587713595515165,1.509645438589337,1.5304031145798025,1.491274886335003,1.5966124743481176,1.7264516537063244,1.6903814959196968,1.9036330907892278,1.9069877383271046,1.7952711095977734,1.939657625516174,1.846574836618078,1.7241288859096309,1.8519554441006059,1.8956122946971146,2.2886663569296726,2.047408899962548,1.8324154476029368,1.8759813749192322,1.7783614798313818,1.7165809617927446,1.8075942398393439,1.9452162468438479,1.7080314703965074,1.6917205500581523,1.9776003904084656,1.863139859698211,1.7542084741876016,2.0121724750611714,2.2738704192993873,1.9119377618878761,1.9495554377847368,1.6270285309697488,1.5469677009048366,1.6062629334220004,1.5367051569114905,1.567161976045495,1.5973143563864973,1.4981143567140993,1.4930264625941256,1.5344652890250736,1.4671877910645377,1.429500511462032,1.444849866614489,1.5130041748694052,1.5274730436014006,1.486148519924914,1.6263278770109484,1.6792933699656103,1.8056197787311872,1.7355317131514172,1.7800569635904153,1.7431792878527377,1.693026222208316,1.583748227926308,1.6714969463292677,1.7595830447290173,1.6152050581531423,1.6403203264002093,1.7490642983337288,1.7238942255000749,1.624420703980826,1.754463322639638,1.855553326061909,1.7144744039521325,1.8346100923794084,2.083555003181721,2.119767745198605,1.9575910051490715,1.7143383873120686,2.1828806373293714,1.863248870386927,1.91088042789994,1.637156222595691,1.542441688901525,1.4456941271421666,1.4355653833471966,1.3708448520668426,1.5330426352886433,1.455588218945662,1.4963803381592697,1.245714012927816,1.2864618742726888,1.080852248640457,1.1883864318999928,1.1856361788576153,1.298377879951314,1.2170816945278826,1.1557950603515112,1.2405147816693525,1.1711498624633065,1.1235488460801557,1.037729325344995,1.262440166765824,1.3276261612078475,1.5117539051605526,1.8039140868680914,3.0035958605662794],[0.8376779656743267,0.8410757845757793,0.978535063812412,0.7844763529562813,0.9772988586198327,0.8860819990674608,0.8038749133790506,0.8271987469799796,0.7979897727807211,0.7343605830925609,0.7102335531289657,0.7776803660929686,0.7637702006925026,0.7176299212208386,0.7444802136485561,0.7719306845310565,0.827710770758518,0.8496591751296401,0.9617190134241467,0.9736779658762917,1.0558757952857327,1.0886861722022259,1.4558421012817937,1.4924693698945384,1.4012901128676196,1.1518051417270456,1.0438500611893242,0.9244383351309216,0.8877419955832032,0.8106117221286324,0.8117102802112168,0.7982790461295662,0.8072117247383388,0.8232027747462042,0.8186822100823664,0.8557416786036477,0.8482593207180951,0.9232815883595328,0.9890155980522533,1.1656139825958565,1.1546997353847739,1.0505220490128222,1.20827441689739,1.5731087770741503,2.0616899917428997,2.756609851150769,3.7510922570923224,2.8700044929220487,2.8446265901527514,4.06907322807381,2.8931716465291277,2.5170754814249667,2.0324145556940127,1.3864066083147306,1.6623090095069617,1.4410854527117458,1.2992809152364417,1.3392093271074117,1.4159101125916427,1.423266489974373,1.1183960208421604,1.0667628352565062,1.0375403691635325,1.1294419849570476,1.0779636121722502,1.052330395530012,1.1840962241129216,0.9343872971291265,1.0635364314158662,1.1774045407150215,1.4256314023635663,1.6856643725104974,1.3388797022591568,1.256586324586812,1.040332589616244,1.171732890039778,0.9595629366712787,0.9068726576208183,0.9099887676998702,1.0013053056581824,1.0293910038372391,1.1040447450990332,1.2027454319533417,1.4245622632398793,1.3406750240721281,1.0162910217581156,0.9872679805700352,0.9951827608801541,0.9000673273295162,0.8484566089889269,0.8625381020554531,1.0918696726093602,0.9192319288136108,0.7998593449403995,0.7784665306046381,0.8334069566140678,0.8669333364389766,0.8111657723712304,0.8116746471070545,0.8496146182554772,0.8211361773987572,0.9984801882812048,0.9415705996940773,1.0585856016533801,1.1467587467668214,1.1661515343409978,1.2809141879682402,1.3458759435269794,1.2620070257372364,1.2079354054379439,1.1107258435883651,0.9815238090814793,0.855056497502292,0.8469142721254129,0.8060680197694885,0.8319333911248572,0.8450608413913167,0.9271934141815501,1.040041291182528,0.8769525593906371,0.8726066578170446,0.8255984448258138,0.8425176069153212,0.7665756417824916,0.7556776938165751,0.8473582472277994,0.9933203601872792,1.0086150457156993,1.1608585594294478,1.2330060997059178,1.3340093560727566,1.417579331274485,1.4006712856429042,1.3176721763109291,1.2769371302677506,1.1449261813247387,1.1981214585835531,1.0558200015600658,0.9201898339988644,0.9373390321947088,1.0089992860610242,1.2207853302377885,1.007452408497165,0.9372001718359003,1.0910183716522475,0.8860597828407903,0.8759260483605831,0.8546875120132496,0.871289106607479,0.8350419020820797,0.9350380563616316,0.8328344111347962,1.0420384553000253,1.3453114511725415,1.1075313130313504,0.8437604486455724,0.806450262778304,0.9122822258169269,0.8679656289988453,0.9883185537370006,1.0151014386146264,0.9126570401365678,0.9481378410446437,1.0148635008571754,1.1597265950541602,1.2084386694853533,1.3626960452467718,1.6320234172319334,1.6534058967317853,1.3522535247100207,1.2523102326360458,1.098297014791163,1.1109341982107692,1.0828406348698778,1.0217541037991147,1.0093235666646843,0.9716578457624313,1.0519001689431147,1.0259757301944172,1.1205750608118938,1.2190994158289807,1.1401728166209733,1.315419286356027,1.5278716845280236,2.681654287718736,2.0159147023333017,2.2302172720926725,2.3468388869555468,2.2685783918305877,1.6940235886422514,1.5551973279369165,1.5514759939285188,2.237892990648333,1.9915576663858234,1.9445043391971115,1.9314074737439737,1.5802663452178691,1.591216220652838,1.5091436815919443,1.3707368593709002,1.4172492516542736,1.323851945364587,1.268180698130324,1.3595047680858676,1.3762220226989001,1.2956994744461443,1.2930318242788263,1.3905349266261633,1.3929112724695933,1.3722783189677579,1.4582484249417336,1.5503521803837517,1.5267041730856976,1.746650031162111,1.718337298572656,1.618316286953282,1.7203126430058782,1.6419238784773806,1.551094238641153,1.6365860024821652,1.6512317219932267,2.049909134805632,1.8057021968781737,1.6405746069383869,1.715041328072109,1.6221929283318375,1.6010997946998766,1.6839353926642457,1.7978420577907472,1.5987068142640215,1.6054367977223165,1.8230911185311223,1.7276079071236843,1.6859553979106927,1.9584956839331586,2.1622882357118063,1.8120330012172283,1.9355424295580181,1.5884861453006498,1.55666746614282,1.566284164802481,1.4764247519394147,1.5176343269811226,1.5071430353178683,1.4520206178636414,1.4532940311622855,1.4455256315614409,1.3818700243964561,1.3672137762191856,1.345213584516073,1.3814826851405795,1.3823917096688145,1.3503031749651513,1.4571113328940357,1.5001376211475848,1.636044686506393,1.5431450204669792,1.5740809326337628,1.5490201824895546,1.502020747216855,1.434637123596847,1.5152147871586599,1.5530827604791375,1.461342263255243,1.5025903477514502,1.5643733254605077,1.5431025197808212,1.4948360988023472,1.5894437958707672,1.6426929681572802,1.5539504637772703,1.7185078321734646,1.911656208825498,1.91231087857664,1.7934052211256426,1.5829816199992877,2.030822035009018,1.7284935872642149,1.7161266298619848,1.5048106320156733,1.4176505675378266,1.362772511190809,1.3845581205045743,1.3194477965677551,1.457954134535137,1.4179582714880163,1.443311058085233,1.262090951632875,1.3213269397497363,1.1557602254732926,1.1838730666010782,1.1894465626353972,1.2596409148242667,1.1826265569468055,1.1428865332289304,1.1776962271923732,1.1016522671657862,1.0654845655538998,0.9775220859755371,1.2126062599067786,1.1957564917687586,1.3753999846317875,1.64944549767146,2.8539867358353113],[0.790897261949589,0.7901686971970184,0.957594137802639,0.6455680563290233,0.8238516272651719,0.7380601470628361,0.6111686093315624,0.646975595807598,0.5962597057227724,0.4954695514997656,0.4783788869994463,0.5670506480676909,0.5209088538563158,0.45895913615858713,0.4923606950115085,0.501894244066194,0.5751046929708433,0.5881680203641478,0.7163748285509017,0.7144581868085805,0.7919228264650319,0.9176315637285904,1.1755020313108648,1.2038311570543003,1.1147704545499952,0.8870054524209018,0.7742245212776775,0.6751350722872004,0.6373273055907144,0.5647335744138937,0.5348514964581399,0.551965709807587,0.5518369112805673,0.5491184275912374,0.5681280245329987,0.5871716500586843,0.6405463200517176,0.7066208474143277,0.7513860693906942,0.9333301665512109,1.011200865868315,0.8821673886493901,1.0786473775041128,1.5175957357636112,2.081029986616483,2.8563946993996994,3.7869310438289334,2.8029908227853126,2.947446541282144,4.131125483644609,2.829063293145069,2.4677159826987847,1.881603063477705,1.182893740553298,1.486052088363443,1.2599372322302569,1.1749758075951768,1.226132722525288,1.3214956046177706,1.2874576544046628,0.9214254500707261,0.8552873466373362,0.7748921827466321,0.8888926786759613,0.8446220072710805,0.8023257674695895,0.9051159088552282,0.6767539802970818,0.8494304134282644,0.949963969768619,1.2076570928062673,1.4860726255672905,1.1228323366946042,1.0358443800612813,0.7887414506093106,0.9853436522357981,0.6801587509531855,0.6329508964269325,0.6796779579757495,0.7768999415906866,0.7853617624589008,0.8955928979490743,1.0389582411979803,1.2695458817619498,1.2324662841075475,0.8033266472399314,0.7364962845058669,0.8051164135004041,0.6385493968383392,0.6312885044228937,0.5990588018855622,0.8465285384215715,0.6619780177838351,0.5288037158890467,0.5063204205745981,0.5765362578023339,0.6202603292765355,0.5532552339196384,0.5799969947630451,0.7015189808617003,0.6130714782844745,0.8638100500504841,0.7378401134490528,0.8840703564911604,0.9186964903816227,0.9921096999156273,1.1523660808816487,1.225777133431171,1.1499733467849678,1.0944618259212144,0.981494512376484,0.8071813631084542,0.6605365524224608,0.6603382804379825,0.562604815439294,0.5926735227577714,0.6259356984439526,0.7229362689544847,0.8545556107713029,0.6369384732896791,0.6511002145400029,0.610068376564532,0.6299676133738683,0.5112322427589645,0.5006748978878138,0.6716843571323233,0.8988988371857065,0.8840094571538913,1.0303401152877067,1.0843634300243463,1.213355386033028,1.269886718457701,1.2328913964375223,1.1303911967827724,1.1310818867804413,1.0172972781106602,1.0989255207515334,0.8972159796818998,0.7150892720132249,0.7227766908745669,0.7927924991107177,1.0021744835255297,0.7664359377684865,0.7147133045405522,0.8559011631255412,0.6743405843877793,0.676727327572235,0.6325233646245447,0.66087778589975,0.6468767860842184,0.7960360776035512,0.6755621823354768,0.9357885921062538,1.2715859431446042,0.997030270077442,0.6930101129261157,0.6235792063753265,0.749625914045687,0.6605389637207743,0.7870586634009658,0.8070634305898249,0.6933719422555561,0.7636324584182688,0.831892711197228,0.974229326572832,1.0824687171868368,1.1761811748699809,1.4713007589946012,1.527435131814844,1.2171145381073571,1.0986106632703128,0.9258951038527165,0.9283801231892429,0.874172022610787,0.8122642133923367,0.8039568266687331,0.7894660110676462,0.8615761482076889,0.8327472952976189,0.9281600604228942,1.0003131654158512,0.9326239901557977,1.1303997613676322,1.3307532083945672,2.6513608856864277,1.9222674198864977,2.095285087872633,2.233970103864545,2.1977496879924967,1.586195428118678,1.4653186728308552,1.3332301335398007,2.146744907168909,1.8819792575979162,1.7871659569518168,1.7386072381690783,1.456035227968466,1.4772898998258517,1.4128855286300952,1.285150356237497,1.3287211922016677,1.2378596357386236,1.1922449162728233,1.2934098944077406,1.2999918075070942,1.2304335022249815,1.2311948075276204,1.3249672361731537,1.3300966373127445,1.3140980415808527,1.3989412786875066,1.498033509112137,1.4876734612259586,1.6933009751433297,1.6693118229408481,1.5635358643187303,1.6481787658988276,1.5584030517873433,1.4782786384587407,1.5599445223232375,1.5651517612530768,1.9467100587310802,1.7024734536409987,1.56230456289885,1.62810476881863,1.5275122715784741,1.5243050881670115,1.5781158261619386,1.7311269503808353,1.5137697580793121,1.472065552777613,1.6850170412210306,1.598231211696575,1.5475670880985433,1.8536871803576236,2.043603946711388,1.7126474581768545,1.8778864119383658,1.5009255196298366,1.4395769225794377,1.440321392191271,1.3635748492261663,1.3986454962978254,1.4100510813169842,1.3554316614289186,1.339426020394954,1.3539553053605098,1.3037198058316644,1.2923167647104223,1.2736209939293546,1.3209752934818673,1.3372597708870906,1.2998449574251154,1.412933197121026,1.4638597588070157,1.6141135854491249,1.4935066301158728,1.5110511517567953,1.4852481173964396,1.4358063865757467,1.3637212143142756,1.429464457604231,1.4796479702584437,1.3887112949718006,1.415437215099032,1.4809459869911281,1.4663667566223229,1.418834517042298,1.5031285525841689,1.5360687977044225,1.4813976882084106,1.6768913897723567,1.812394154061894,1.8926295471987777,1.756108876167531,1.5570952423008857,1.968088236453557,1.7271749062453234,1.655908208901784,1.4431790722112487,1.3545640665941592,1.2984104814759743,1.3124088381400967,1.2834020736093164,1.4709602340224512,1.4047855544792467,1.422185459426766,1.193430415087554,1.2412168017892276,1.0528736364601565,1.1105730283779705,1.1030600082041713,1.1759717489584918,1.1487985962386142,1.073344461253143,1.1161404886135413,1.0500826925902293,1.0199742494572797,0.9252774178388201,1.150283419504034,1.158783419517058,1.3677299312116873,1.6209079643796114,2.7454196613170136],[1.4384262958575047,1.4330962277182762,1.56560136054805,1.2408743020952053,1.2701824220854623,1.2476369301436439,1.133914580550386,1.1748364311333683,1.117387747787879,1.0374546233761788,1.054231603654956,1.127073414313163,1.0295129992382857,1.017157561325046,1.0389932356388083,0.9930926941451724,0.9832349195628981,0.9703352058694857,1.0078671661184984,0.9792327464276007,1.0149062939409608,1.1340855223613495,1.2694096816689617,1.3081421477511266,1.1910280086129514,1.0595079253522122,0.9723556891739423,0.9472740298583783,0.9679181724951339,0.9837456192376767,0.9868184962733914,1.0240993757107688,1.002925123700215,0.9682505294322801,0.9888399044088798,0.9696436237506559,1.0179438485028767,0.9940975797245327,0.9668650169505917,1.0764354305477326,1.1488757524654591,1.0985558211246342,1.2289655325039346,1.6261752064040973,2.17009678085906,2.922628274369183,3.8027852145187255,2.813819166073994,3.0107366152087116,4.153275521356555,2.8272246400910457,2.5007557456992715,1.8683527515396572,1.2364424241404504,1.5353484649828104,1.2920418875246729,1.2670254686952587,1.346568816504227,1.4392246173455705,1.39101119675458,1.127446336055659,1.0693439465480086,0.9824698541340928,1.067827619457514,1.0571848935468424,1.0172006709002517,1.1062076596906385,0.996482422876818,1.135732793344065,1.1951925824409204,1.3876117533054926,1.6268634444264205,1.319973898620022,1.2709835851859088,1.069180646056425,1.2203687789762045,0.9603943995283102,0.9520044397987778,0.9848709875617131,1.016551626273126,1.0261280594105153,1.1029936499501847,1.2375466262732844,1.412325384944015,1.3961024418614758,1.0483663381811665,0.9736110850289714,1.110348984801225,0.9691348261971443,1.0361291975840143,0.9889365594728698,1.1293115982545527,1.0549321085772747,1.0051303051162113,1.0021722334639713,1.0291340162959999,1.069732747136486,1.0470686743106032,1.1012361976470486,1.2403926206463667,1.0957193894162864,1.303994364135759,1.1167606910580654,1.2447600187491157,1.1673485232134748,1.307091054038192,1.5098474211885877,1.5181280700556803,1.493032397441211,1.4685566366350584,1.3727232236169313,1.1822910450838575,1.1115715694504629,1.0544157357328747,0.9735656955758341,0.9563012686757559,0.9699884410018182,1.0089882058919517,1.1235178975545075,0.9953890377135999,1.0323772298281872,1.030834172434812,1.022709461426806,0.9693043601177777,0.986968850431106,1.0704607538506579,1.35768513823622,1.2346369067954646,1.347893098617174,1.359643434988004,1.4720216513840956,1.5168491797703854,1.4076476188167022,1.349670953390963,1.3187947093252799,1.263592900438554,1.3373544053005433,1.0941273498028965,0.9534718622494189,0.9507225017742406,0.9833493431669711,1.1377883626416792,0.9689353139955796,0.9473332275910029,1.0084128318246144,0.9705404796251667,0.9839361592664629,0.9837629597816868,1.0540219368962935,1.1094494685726493,1.2651124845846786,1.2225409784163717,1.4512858796238786,1.7106082313839142,1.4529073098457759,1.244732291763418,1.1491836904972796,1.2215676160392757,1.1065296974296301,1.1450796453861747,1.0889638009981486,0.9995495279667844,1.0110205539466004,1.0481011757959489,1.105644082124762,1.203424855390868,1.253375178120253,1.4963083845253575,1.5739798431529481,1.30900502122937,1.229391215647311,1.0976382213059914,1.1088688291531248,1.0753010951251964,1.0677158127107214,1.0999459164997232,1.1224234092650287,1.120393589668288,1.087368545254257,1.171700749480429,1.1450857547646296,1.1749756243903935,1.3232569094595932,1.4373607002059903,2.7611790863695154,1.9729077058084143,2.155299972788298,2.2666120423086102,2.2956548289484555,1.6551428851490668,1.5319109921391132,1.3794140339910792,2.2127983429308085,1.964767204776826,1.8610532067617838,1.8339816250775398,1.6675664786515023,1.7494634019847102,1.7455465415243356,1.6593470736710596,1.7642501664370067,1.7006306263085118,1.6267944135057926,1.7573315036390014,1.813087567479248,1.7227266657100007,1.7126151432277477,1.854220268044496,1.8794693749813258,1.8107294611682452,1.9122295758359003,2.03792285415203,1.9988130088345422,2.1285865261232777,2.1690947742208215,2.068467805802264,2.1953380994389033,2.1351310199578872,2.0612212186613963,2.1544179486404236,2.1374323022954558,2.5369904335487843,2.2553363872747823,2.154695677589426,2.1946920817972453,2.0823120029283366,1.9784975853013818,2.0382577750445443,2.1677964275260435,1.9640732250910609,1.9239591890324999,2.140205526134934,2.045107860159496,1.934181057660014,2.138237287284637,2.3620769052626507,2.100812453040693,2.145550527670958,1.8941535853653493,1.7837868506224654,1.8275767476683056,1.808218190113027,1.8115352293904812,1.874578716717364,1.7877188986068522,1.7567775220394626,1.8681734443292013,1.808134672845778,1.757663405406982,1.7971496225654406,1.8625891845319005,1.8389038701059004,1.8225844759453154,1.9731550640419995,2.0090363720240556,2.095406193604812,2.0445625759430186,2.092856182077187,2.070794675983685,2.024814209522606,1.9241505516655522,1.997943294970599,2.0608169103055625,1.9544901669005725,1.9578765181056206,2.063001074642632,2.038954303930308,1.9427617733169178,2.011024331605951,2.0489713803883047,2.0112238087062724,2.119405541896436,2.268339787121453,2.3545088004529724,2.229496401699391,2.045364647008691,2.363297492806042,2.1700572094075303,2.2250370564081225,1.9320899496408144,1.859920908652025,1.7615718560947393,1.7466654588746169,1.7206486074715586,1.8987704786544004,1.7888711804285462,1.857573423819457,1.5850426997221023,1.603905740773108,1.421413698130267,1.5401735463779789,1.5327897714600214,1.646086842606477,1.6125751218500346,1.5137390615630255,1.6346796217910782,1.6161002219103584,1.5125998249267243,1.508710182500421,1.7099633366419609,1.759642746986448,1.8782959106576746,2.184099618788797,3.161888143978321],[1.0804406404768407,1.1110335706107546,1.3508672928503447,0.9657182099915893,1.212254022373033,1.0305816309233389,0.9230971627177234,0.9920197238079259,0.8429861047316979,0.7039870162187537,0.6725787803382276,0.8030922692408798,0.7478016631369884,0.5801697491990712,0.5981425400347931,0.6921194051091549,0.7209118314650268,0.680673997653868,0.7335024140504443,0.7768905505520848,0.8081905803657333,0.9793815624771188,1.1731283025913468,1.220047538647273,1.1644748337715467,0.9028022230269259,0.8437129028866244,0.7683784521685895,0.7745153410637718,0.8104657231734423,0.6659259141023636,0.8261749072450154,0.8230650725171826,0.7756115932120966,0.8252394658848542,0.7996496327675487,0.9244893564273965,0.9172352983760441,0.9558593018777504,1.188855522736249,1.13895003791822,0.9514482617733568,1.1398085736628063,1.516473333469952,2.070436523826839,2.8421517389043096,3.776605907395987,2.832852159563835,2.908116002965465,4.187063280567876,2.864592988252725,2.569720662929383,1.9834738218685093,1.3555405728355634,1.6531703150792174,1.3833937738797994,1.2227835372314195,1.3146851747595427,1.4053244814302295,1.3127638011613452,1.0567089715840114,0.9666882633266118,0.845134870874733,0.9139367896047886,0.9349752645463438,0.8959674159260114,0.8735920108668109,0.7005187339728471,0.8109798845930477,0.9400102784801151,1.156616978588692,1.3949007752566518,1.0613967271097435,0.9604673447971582,0.7827100588004086,0.9255502014799684,0.7784968377436267,0.7391524394386922,0.8408196237850715,0.9674918015716796,1.0496592197139112,1.1790847660469406,1.2843458321496122,1.543916338420551,1.4430592878639288,1.1060841621521236,0.9731920727497759,1.0885005628886284,0.8223227337348049,0.8063522093949965,0.7270035371023648,0.8603077311054553,0.7154945500491919,0.654411814227662,0.6431199029902495,0.6649736572720388,0.7157096750735242,0.7815298229091256,0.8750539348203089,1.080108681068138,0.9642833679462287,1.2856194584680922,1.1250216989535509,1.313447245069393,1.3915289048315589,1.472960783108292,1.7200712229757764,1.7396482593457734,1.6690149441710076,1.597274907838629,1.455460196532367,1.2304380905316668,1.0222566087114562,0.9881355246192156,0.7801587958719358,0.7373314984620252,0.7003485170822071,0.7271583016354004,0.7734263746583788,0.6808233484625716,0.6707152377306472,0.6757419582422175,0.6934150995866989,0.6839906572857876,0.7350790173549226,0.971784863576903,1.2753002939359572,1.2893864145669287,1.5051814784226711,1.5698928151560907,1.7103277792618539,1.8143446913972425,1.734661068988791,1.64732105704673,1.5663940990387928,1.4033323671320448,1.4848645114630679,1.1873374126184335,0.9575723807841536,0.9470603836033453,0.8372801598993833,1.0361636031722998,0.8253963757838204,0.8500500036371507,0.9832880364639252,0.889470874252033,0.8977054013486515,0.9218781877880801,1.033863619348797,0.9753849191600623,1.2114137501734012,1.0490037992193342,1.325364012984547,1.5164222495793795,1.3206390315335725,1.1032216999816935,0.9884564206011114,1.1642783513762955,1.0127147236590635,1.2003046418229346,1.1768864340200604,1.0327633969340086,1.0511159560267032,1.1362732468135686,1.2925406831708628,1.3287034773628472,1.4936395440925705,1.6997143702068092,1.777219574210134,1.5053583883917938,1.4528715521170945,1.2525950339530287,1.3113907033497296,1.2935505796848872,1.2365263656104464,1.2460862705030447,1.1400351885024804,1.2557284575281455,1.2529576761097534,1.4074905559446107,1.4405710347751488,1.4069601275902708,1.5988416851714253,1.7437926155933285,2.961150931668449,2.130572822189701,2.3133718398787577,2.3842879787320754,2.342374001793704,1.735520667561263,1.6475636176591468,1.7059798253721832,2.4543277140833375,2.2353128372744804,2.170443143878328,2.179927452303184,1.9833163686068545,2.052667758010824,2.0048686165444964,1.8483850924949676,1.9674930468796494,1.8458729303429984,1.7501097370564984,1.8959774140441303,1.9290578076682314,1.770865644732858,1.755878108743265,1.9131089051710264,1.8781773017365513,1.7635359976036156,1.8662783109609737,1.9657150967013306,1.86800571140862,2.013492824153118,2.034890895077251,1.9812237913158075,2.1169650880602515,2.149327610930545,2.087183374492433,2.1580282101477635,2.2079859934810027,2.509707133744824,2.3179692044662823,2.2336436547079233,2.3264238633812555,2.2483462250217943,2.176887121001616,2.284034122710432,2.378617947730138,2.18087069409434,2.1969568846605734,2.4269344366961554,2.3282181501869648,2.250834531192507,2.4529718682749926,2.6871422536462863,2.3961379168898915,2.420955474129009,2.159485278952314,2.0581861934726713,2.115209958062553,2.038706306820903,2.034329528077322,2.054478445849479,1.9601387337752059,1.9488164669472254,1.9897494275886138,1.8971137402447922,1.8329658157968625,1.855737916578019,1.878843968505281,1.8321052235981288,1.7996279384801561,1.9375103846352182,1.9459421346003678,1.9966960574635901,1.9684203067170327,2.0323574942567784,2.0467566733494,2.04807598050082,1.994002619943729,2.104803830599182,2.120545589553213,2.0189078036216177,2.096977502021061,2.1786194427228462,2.126848717553438,2.106022532682188,2.2045255881213257,2.223774436792671,2.17986049926579,2.337874200330869,2.514003137054824,2.4960657399581057,2.4126541711571536,2.180978666232686,2.5398829018376805,2.2541119877587255,2.232203681699384,1.9295958103559758,1.889880225576121,1.7048243466757813,1.6950728544121763,1.7392287308069023,1.9704118172950567,1.958597895032632,1.9948768392612366,1.6965288434719406,1.7657850305798044,1.5174495296428105,1.57636580176824,1.604866827909401,1.706037813153815,1.56737150849728,1.4911126547907858,1.582455983955507,1.5157025634339374,1.339389530187054,1.3201151001390852,1.5561616356742238,1.632841496247848,1.7025611536176815,2.1030723670583176,3.3131063141687513],[0.8547172882653622,0.8396071731288738,1.0515880236843118,0.7937415852048333,1.01876348720545,0.8869396407597476,0.8018192103208269,0.8445768904511926,0.7738310151471026,0.6840956784495081,0.67096148702518,0.7550390890393501,0.7332861877685316,0.6287065774811762,0.6516288116398858,0.7082342856175953,0.7324916027638207,0.7217338838314509,0.7958342526023782,0.8129593000449723,0.8502511940292306,1.0236870751905673,1.1602249454075002,1.1977770904730543,1.1491259365793478,0.9340294096902546,0.8374666244792293,0.7804794423412683,0.76797246653702,0.7849346074901703,0.7133501320464397,0.7821260279422174,0.7944439521013889,0.7792067265709337,0.8063632898390611,0.8050296792956155,0.8877011756766744,0.8920072506558157,0.8964139713402353,1.1046573152666632,1.1004011624665588,0.9568255941919155,1.1347854097582413,1.5027055436293297,2.07349970071738,2.8544063995139504,3.7726278342111472,2.7952460015686813,2.884044680257756,4.168257542262476,2.805687367403354,2.5066068563064765,1.9005740963183708,1.271690395777738,1.6021113808191332,1.2891930603537023,1.1766082930215944,1.2737163869471986,1.3757315255882359,1.3259904543086058,1.0644924430361917,0.9745094666311176,0.8489755281259829,0.9351672645471357,0.9606910966623354,0.8977288688991281,0.9108030966700014,0.7653990962200421,0.8367772268806422,0.9753787349508009,1.2222287515572456,1.4759586645693195,1.1197204298472203,1.0052276152502595,0.8435678239745305,0.9479772400674651,0.8158249742868013,0.7679915202992846,0.8513733819652293,0.9593350186361727,1.0019033761003746,1.1014243056929685,1.1818997843877328,1.439294743451556,1.3432999962025334,1.0118732346921175,0.9199942528335099,1.0387637600740431,0.8287181946278762,0.8303532184960197,0.7731196484954473,0.8917797370525841,0.7834806268228582,0.6940914375435344,0.6762718198754853,0.7258122435820996,0.7478130449321317,0.7707215614607644,0.8229956611321607,0.9538413403097332,0.860845350166197,1.1101994462225686,0.9722403696451808,1.1217252707323064,1.152298578342714,1.2306428494137545,1.4149923944786107,1.4387467389651794,1.363980819763741,1.3148635751345348,1.2015927749063842,1.0292248587273682,0.8699964174982273,0.8688396419562373,0.7446590021560352,0.7482760742748636,0.7638351401256017,0.7846127679561211,0.8307675010381316,0.7505199879118394,0.7672472020589811,0.7501736390899854,0.7599286410205134,0.7037666811185783,0.6974711533340565,0.859105211357698,1.0953094173089981,1.0842405045483747,1.2528580116899717,1.3038827067736365,1.4181124179106464,1.4922691695513786,1.4370131134448902,1.3633953653203805,1.3202243071321536,1.2026182164826742,1.2723941728538002,1.0143618966409458,0.8756989278147401,0.8694746337295483,0.8444981516845284,1.0222039880104619,0.8335578203176491,0.8206861522261223,0.9396703293075392,0.8476480451397053,0.8536051916519123,0.846923388681641,0.8915009198853736,0.8608835463398627,1.0241516955172056,0.9041073134315587,1.1367878412801669,1.4013492445310929,1.1878976442928577,0.9491477617470072,0.865882729806393,0.9919446903808504,0.8931490886258716,1.0106591788963237,1.0039759949334244,0.9255098581061636,0.9461526162169452,1.0263337714268477,1.1308804523284939,1.2198905294175768,1.2910445240689925,1.5034613739875244,1.5825834645059544,1.3174546329624917,1.2357622935652788,1.0759721312354409,1.117315144271505,1.095211299155929,1.0553055543573462,1.0505680390823493,0.9924593192402312,1.0745538988492136,1.0749005467375676,1.1849694228581111,1.2346687619019987,1.1692915857478632,1.3466030508691493,1.4754100621900543,2.83436450564178,1.9659710809366235,2.180568511480411,2.2775642298540997,2.2894011766782745,1.6469555985334121,1.5055002242003988,1.4654199809567823,2.254712733958209,1.9986847441284628,1.8819507229548784,1.8634765525097008,1.6789334518338408,1.7042971974623107,1.6332560233104365,1.4968108379076122,1.5571249268006102,1.4600198689485202,1.4037143369914487,1.4985395711571243,1.5059137883500382,1.4079952872783619,1.3990335349306686,1.494549493161837,1.4792911216531521,1.4305864551419116,1.506616384636483,1.5823941938965764,1.5387525162262277,1.7363972483424572,1.7005895039450376,1.631862436647359,1.701836257545835,1.6604528889954648,1.6077994131085886,1.6691807461977592,1.6853934519695857,2.0182166760266917,1.8114886308086944,1.6946080929723293,1.7945332700545773,1.7179869294410022,1.7162738971542324,1.793618570929173,1.9128698724298034,1.7109683223971741,1.7155600441778993,1.916936842421568,1.8238003641867635,1.777051017512598,2.0223142496920232,2.2201917998373077,1.9154666397594882,2.0456531105238906,1.7303712550505357,1.6714788596130956,1.6859575397531186,1.5991464080846172,1.6275671580485735,1.6195822104625412,1.5718078023468995,1.5683466322139232,1.5630493886263463,1.5011933864318296,1.4743864420821218,1.4647033351118801,1.488680463743745,1.473609706214854,1.440726909633231,1.5431600343344294,1.5682445557854996,1.6938846397653733,1.5908553464636563,1.6159240719840273,1.6105026517915402,1.5846960851655933,1.537117940202517,1.6128929153918083,1.6269012784256258,1.5598950174441115,1.6113468759984149,1.6462719594826987,1.618778748214607,1.6153046924047008,1.6781225848085097,1.6896827593105328,1.6522452898176714,1.842737233680232,1.9731730499846283,1.9931567840693212,1.8977943362368908,1.7011217978684812,2.0876011021785925,1.7991028079524856,1.7307359208353794,1.5426810268437803,1.4889688408205797,1.3981069474105905,1.3996712850683992,1.3940146702281144,1.5811426590190165,1.5770719123077093,1.5908747092285385,1.3807317701826918,1.439852400963911,1.2643880291850431,1.2854294886922581,1.3101856072936295,1.3790706803833532,1.2999032461284112,1.2330814938369439,1.278003225349428,1.2184247318271149,1.1408697500768314,1.0727605444998842,1.2770751977570738,1.2960843665278474,1.412024049381519,1.7509042497973724,2.972229604260651],[1.2892048084578718,1.3866656114622649,1.6238244742100438,1.3681513156533687,1.5217341859007885,1.4000122696951016,1.3327393256755324,1.3717440125526479,1.2567469267956881,1.162086398355021,1.1309184034793645,1.270217876531802,1.1959361273153633,1.0708721121375704,1.0898989454726702,1.1599310383280594,1.1582517773769505,1.0875407475509302,1.0894218150788735,1.0934090164587358,1.061047799675987,1.2353650867153825,1.1706945199084224,1.2255265424498714,1.1734728095843954,1.0707357910782345,1.0536737379930008,1.084884841765954,1.1456691443219196,1.2225684358588012,1.126846730053187,1.2525223649848642,1.2556322279785885,1.1989721827583215,1.2333000418215325,1.1879741959911934,1.2947579447501525,1.2102984549973694,1.1911489429277868,1.3551627651088038,1.3408804126012304,1.2010460097715283,1.3487841451579459,1.6684468380120618,2.2127964139159553,3.0581784180551175,3.822592906508675,2.7753114510619605,3.139905898870837,4.319255488904981,2.867911497681004,2.590719025118613,1.934138798342024,1.3714408501025679,1.7294884573865819,1.3937912676407738,1.3554867103708659,1.4893083595075538,1.587768397492759,1.4807318825562952,1.2926734601723315,1.2002540356625635,1.1009871389084465,1.158709495532872,1.1612301649421206,1.136209932822996,1.119684722067256,1.0568982111620087,1.0954388327817215,1.2179143308545204,1.3485467200185772,1.5246160328146956,1.3138149399562356,1.1848887821770222,1.1166979885120192,1.187152696252821,1.123254221948165,1.095784356439014,1.1566095528115539,1.2246716711132506,1.3092366722822713,1.3903758324667403,1.4452575538656602,1.6415880683479231,1.6273381631843467,1.3403375235271116,1.2108852776592602,1.3776658304835199,1.177722874235164,1.200943748782486,1.1382980279345205,1.1589823077800354,1.107585571577578,1.110641547948659,1.1077101985416973,1.1030670736430022,1.1342455626185146,1.2261102804066808,1.3130305707923628,1.466289682412808,1.347925538846588,1.5645119651026693,1.4119682539763592,1.5457341835230838,1.5259303566421447,1.6368164989554523,1.8346210500115565,1.8081501172017649,1.7851093028911775,1.7985665721780637,1.6718840190338529,1.4961888866029012,1.3769333751282853,1.3495192269224292,1.194451908381807,1.116326117567084,1.0700840601229287,1.03231001558733,1.001676574403449,1.0752154163023149,1.047920529926261,1.0887893251050518,1.0799028452625525,1.1072108118312105,1.1650164639485905,1.3537398441323238,1.61653988879028,1.5564231022498942,1.6792349626178975,1.699315143600145,1.7857675499458865,1.810196460364504,1.724167625208493,1.6968247509732215,1.6555109439129745,1.6046630698089657,1.6747076491375028,1.3944580261389936,1.205596216949104,1.1771570475929731,1.0351640175408712,1.1052016205264015,1.0402796039350721,1.1180936926859466,1.1723062575264789,1.2071582031896644,1.2249466894084706,1.2907912533780588,1.3567121726772895,1.3383403792512831,1.5189153739824566,1.4136597646763551,1.6303153645081876,1.7979433753991876,1.653125894744408,1.4538003918718214,1.368530057961273,1.4913925112878605,1.3548625185132552,1.4543260347199827,1.4110331003770593,1.323020223502638,1.3004284591565662,1.3416028039522436,1.4107277103628257,1.4228033462192664,1.5121512454845698,1.6503878992718461,1.7633079572272783,1.5723751409243285,1.5379724034185684,1.3985942238710376,1.4465619993098724,1.4442521257301912,1.4219042446582246,1.4502809628752822,1.4215810283483346,1.454077837464378,1.4278032715992854,1.535418673879182,1.51333162511481,1.5374465314449475,1.6527206140089554,1.7199596171281184,3.071693995238455,2.2548325655566908,2.4607416671024995,2.469619460704014,2.5197435280765674,1.830892702746578,1.7035077110907009,1.5860027568967723,2.347639236180315,2.131843511148614,1.9794895171193212,1.9490912088887369,1.9323812671852238,1.9886090694296539,1.9690839798790991,1.9200640114384422,1.926144920216469,1.8825928203893956,1.8660115697915243,1.9152827752527155,1.891234322225608,1.8408482194515279,1.848137239553049,1.870927434448063,1.8573882019393282,1.8264637944956668,1.8573745176284226,1.8929891818308209,1.8921549613224955,2.0753853882251887,1.9453125411770376,1.9019626989208613,1.9143795943187991,1.8692205418516947,1.8875032434926577,1.8994888450343568,1.8680040928686454,2.1380960040693036,1.9056808113397445,1.9237060184955603,2.033882052733005,1.9873958359152866,2.01296911199092,2.021364895481724,2.138687887498222,1.9754184593447515,1.9478808732317026,2.073271367636442,2.008828502021156,1.9774161716487757,2.174536377802316,2.2956296301422534,2.1220085186571844,2.293776018044774,2.0313980981437862,1.9734830765111555,1.9757386305645221,1.9120230077389824,1.9465397399608866,1.9637619918188987,1.9452444677820624,1.924127627778936,1.9148868202885851,1.8988748941511189,1.9171147417626349,1.8675218999884906,1.8733703050970631,1.8635035460685054,1.831901315862463,1.8968794315340474,1.9156401080772887,2.00598931637658,1.900981688020028,1.8975769075921134,1.8955794355584161,1.8869017304158089,1.8849185822028196,1.9115552534893068,1.9037602634464124,1.8909396803979936,1.9246391462570545,1.9177830037867702,1.8990219545005724,1.933235332473733,1.9102423021835975,1.839926114806311,1.9322615843694047,2.1331252958806752,2.1049599386344924,2.2206171944279847,2.1323215689857977,2.0419094158910793,2.156817940723578,2.0754846871752592,1.9882984428381385,1.8877916557331595,1.8689702943256328,1.8039776194598074,1.824949181287939,1.9030426502176152,2.0771671173577415,2.016199893511882,2.024564950089719,1.858896973452107,1.8852169914782462,1.7315198479568985,1.7975791623281128,1.773996210700874,1.8066132948913969,1.7694178470412962,1.720162667069968,1.734874223311698,1.662740243850698,1.612095738314911,1.5573461244766003,1.6632890323725118,1.7601109495856369,1.868134859072441,2.1554160242327827,3.1530811626166346],[0.6649755310992931,0.6720317099209924,0.8874283981874159,0.6331298118573815,0.8560437236740325,0.7425901847951776,0.6601569052266424,0.6820029168900731,0.6319365266662279,0.5490693224073743,0.5341157423096706,0.6316294344892392,0.593944593120195,0.5038905464315289,0.5283493062631747,0.5728775154100988,0.6212312312274546,0.6005657559306775,0.6908925778845487,0.6791411573547784,0.7180760451977949,0.9221184998680092,0.9989482369170837,1.0510889301106758,0.970706647847524,0.7835641719196882,0.6892187641124897,0.644077012191521,0.6442904245534784,0.6381854621675895,0.5745244619086055,0.6272363296622341,0.6392221409210458,0.6028737442746175,0.6442414268539823,0.6454056009724612,0.7091962047237339,0.7257022730326237,0.7407037039038038,0.9384331355719245,1.0113019777092045,0.8507537404968717,1.0625288179604668,1.4883707026179565,2.1033491562746116,2.9481747011016766,3.789372344923003,2.7347135448256203,3.011391589674909,4.21465890337107,2.7947602357189556,2.459980718492767,1.8135201860543562,1.1387138290216394,1.480522233200444,1.172577189137514,1.118306140300088,1.2107513947053137,1.321008412380954,1.2496879025433123,0.9413030803357176,0.8389514851630517,0.6983256133988361,0.8153337033993737,0.8105713371199726,0.7561845454331739,0.7941768846539105,0.6215169102638426,0.7486243085909801,0.8915045203863915,1.1374714926746456,1.3860078576732342,1.0346208129275807,0.9157934524908604,0.709921774814419,0.8519651881120262,0.6649551414067264,0.6102107104242736,0.6854207553119167,0.7796408109061435,0.8037605861126174,0.9266970564997525,1.003634059509464,1.2627724133865237,1.257420127673514,0.8289241172678783,0.7332307952821276,0.8576115027609742,0.6706823863184455,0.677759567239266,0.6248306179292675,0.757623541182445,0.6443402540670774,0.5545835561412717,0.5397534908264213,0.5874159594027938,0.6397988955951464,0.6150371520298704,0.6621884669495602,0.7852114027944705,0.6862325659165659,0.9268845658687067,0.7719998209670034,0.8971641244282156,0.9017733525988367,0.9830302778663623,1.152531054059571,1.1889759662651456,1.126398650804065,1.1202377359943942,0.996032553644436,0.8537344253835949,0.7213015192275447,0.7459911645723473,0.6326466307586046,0.6212188925655188,0.629949736874691,0.6431998565898672,0.693133954874474,0.6350857720119695,0.6677963280357495,0.6632467004844951,0.6708500138375095,0.5876027127468401,0.5737755570068745,0.7575570633040742,0.9555057798542076,0.940422936527565,1.057052963963224,1.0979056874747541,1.2044473363289694,1.2322944489830707,1.2131531629596144,1.1249993819897544,1.1430431644129042,1.0807213901012434,1.1619283981751292,0.9339435465612936,0.7602083391005388,0.733275463512509,0.6969411086493533,0.85495128962119,0.6768191945593166,0.6949818487578476,0.7946482500952207,0.7077596479766868,0.7197376898955786,0.7043400398917805,0.7335790409414849,0.6962062181036015,0.8425392416556509,0.7194377907035634,0.938928073859302,1.2338606551128593,1.0294633224080765,0.749049991904485,0.6924498573236192,0.8020872962867065,0.7220939244844422,0.8176182075557787,0.836403696792166,0.7648890804947541,0.809065473309044,0.8772894031497356,0.986632562423966,1.1002455376441487,1.1334889006270712,1.3790710450738404,1.4732696383386144,1.2173311052355382,1.102741836000112,0.9477824829391858,0.9595353204877917,0.9173083579486428,0.8654892089183401,0.8426697069118014,0.8364403233880793,0.8655933173070879,0.8804389745649317,0.9629767328323396,1.0208720819504424,0.9461870418677218,1.122750912732722,1.2827648472961382,2.712879467449467,1.9573245413077835,2.1620731110308133,2.2399151352445634,2.286655751916069,1.590638608206793,1.4549614283896701,1.2598547585218363,2.102265712457615,1.8261810388877642,1.6734477489539563,1.6208730157323044,1.4336242264252623,1.4219648909384757,1.3343762384613012,1.245671196993826,1.21434078085362,1.1366980061656697,1.1273816773169116,1.1698762235124067,1.136903906962434,1.099879525041859,1.100091322527142,1.1298414236073184,1.1318681904123686,1.1553478304359024,1.20656601935423,1.2721422619554594,1.3016895356223281,1.5012558389006319,1.4431748264516004,1.3491173890200807,1.3891195668102028,1.250012513453214,1.202269985251162,1.2571740782614376,1.2587618133660148,1.6155418629843281,1.409209582218951,1.2828387442075402,1.3559460822124396,1.276424362196759,1.3467336088584707,1.3767645400332997,1.5194240636511498,1.320228141765799,1.2947009506702458,1.4629197237166225,1.4012461567243557,1.3673092871437422,1.6905192449237092,1.8319839334659906,1.5487282547770205,1.7933103193745428,1.374397245126021,1.3457229376722781,1.305437886782924,1.2137050978425818,1.2537842552027145,1.2512941098170058,1.2405876132889793,1.2126498593471142,1.1845152276250888,1.1637694996649004,1.1758564082921774,1.1172779304820293,1.1399870632377453,1.1774148120496861,1.129031561346085,1.1986934756963263,1.2528653282881301,1.435353239588176,1.2593283137300022,1.253475301084113,1.2290740655924903,1.1821673236302594,1.14431826782782,1.182761459880599,1.201009804019858,1.150551566041661,1.1829889673139415,1.2017416250506041,1.1922161249271872,1.1976052303084197,1.2559409904642724,1.2620176486288137,1.2241474286331118,1.4722430557236657,1.5205805795371137,1.6402137577855633,1.4969963171093021,1.3330939727897315,1.7006587063832839,1.5214525487394732,1.3428655458025154,1.2116017770500036,1.1469813247663387,1.165656370017257,1.1889729494090004,1.152139593009913,1.3313077780013498,1.3109462090040347,1.3038915740714054,1.1568093458257431,1.2098464287313573,1.074673179259866,1.0708133722177091,1.0551729026443437,1.0811336313076907,1.0980660457686993,1.032735609460434,1.0213398154281934,0.968639078978278,1.0033900946919756,0.8671209916717972,1.089219497965272,0.9921863075711084,1.2804946058212878,1.4828535845839834,2.52879872783429],[0.7786091547092971,0.7786972038411604,0.9054019522699776,0.5985126794117215,0.7126732971353875,0.653076876385308,0.52006524162092,0.5556331733159976,0.5083325984663624,0.40953560543849554,0.40879161906562406,0.4703216517848128,0.430079015029584,0.4152975207058038,0.44409205460222484,0.44876960219899364,0.5141069250895764,0.5405579078298168,0.687640456698758,0.6693752878727648,0.7577932690219803,0.8375199810110878,1.1078931311119666,1.1650136546684644,1.0705301806933651,0.8767738158263035,0.7262261405572188,0.6178426608563585,0.5582059760201966,0.466779321412777,0.48840300718608715,0.44198151452360973,0.44784181706726467,0.4632930570593066,0.4660213802926536,0.48713051084064124,0.5185179081278513,0.5788149774314408,0.6105200661077892,0.8106240965789642,0.9414805034340008,0.8222740820970313,1.035739355657992,1.5366788131093032,2.090399180908633,3.004179964769692,3.812709946168535,2.726721225759281,3.1903706651249517,4.224608332406808,2.8216000753685098,2.452635622532197,1.8849024874965001,1.2039453091779688,1.3969376620190992,1.202074271806346,1.1463733852246991,1.16016142464653,1.2653030249018389,1.3020905445978461,0.8623589231528875,0.814242585407225,0.6899877628805229,0.8543525692128993,0.7827395454486011,0.7369056721987214,0.9034514680222189,0.6654909087457744,0.9007975053059676,0.9529998632857863,1.2039092062286405,1.4849650454697607,1.1420122062741267,1.0159596829545439,0.8028751954051871,0.9645440096891794,0.6595417111237187,0.5898429926474252,0.5810120287854392,0.6530100837894367,0.6162934296664448,0.6991454534632215,0.8614553562019766,0.9792512235386435,1.0840803543189066,0.6104754011936007,0.5995655506631304,0.6564668211633029,0.5554258889874006,0.5726006259043253,0.5775574228711875,0.840047189178247,0.6513281129409432,0.5020370832559246,0.47754225775066794,0.5936658099106275,0.5752993934852179,0.48411720489251625,0.47577769031811273,0.6166315714928483,0.47962435573256473,0.7318237192631134,0.5527090661558965,0.6812542784082125,0.6759054640236429,0.7669320091741265,0.9300667171045212,0.9605470330580378,0.9285365448282207,0.9504257204481148,0.8144557601201359,0.6290456407523597,0.5162943806519502,0.5149343156869776,0.44734331830051627,0.4995588986228543,0.5924893329799076,0.685426851622509,0.8267408918844356,0.6143604769634647,0.6541832557230758,0.5819974389066853,0.6155879208768423,0.4576933414884036,0.41695769111322717,0.5675945538050784,0.7809777992937091,0.7026587628325063,0.8182543191329101,0.8431293098806908,0.9628402425299284,0.9847743428326305,0.9559099328976799,0.8618242121020915,0.8979123383377317,0.8262872713099065,0.9626910284261238,0.7421781986826129,0.6224948595405744,0.6180321434461283,0.7610288107792887,0.919291689024698,0.7108747092683446,0.6191008175308215,0.7338253932986891,0.5499338620958235,0.5427672210112927,0.49529099742922406,0.4921821193216299,0.500301367126462,0.6419921276625402,0.5820230712097471,0.8315815370131193,1.2536789171224085,0.9657296339984124,0.5797042378991936,0.49049430300502656,0.580025062299288,0.4986038428977431,0.570161282172858,0.605154740301517,0.5492589675990682,0.6126159599301354,0.6634210742705967,0.7663034410131068,0.9955615736788324,0.9451332187279717,1.2383323557852,1.3112318771592435,1.0453484812636291,0.8890372269121517,0.723072088708013,0.7065479667215013,0.6592897663645312,0.5966961712748319,0.5903485246228054,0.5966427256925,0.6650119344701192,0.6189800610282905,0.6754269319613202,0.7696614987422642,0.6739542140874438,0.8379828555893752,1.0215157442064684,2.3704815850237684,1.8000223878940425,1.9857553282470748,2.0957462138350067,2.2044800594296836,1.5294111795752339,1.4756326624226261,1.1604708880576657,1.8446653152801438,1.5933404464417107,1.4918581552977455,1.4495405211101184,1.1804623795886366,1.1842842037562131,1.138764370763985,1.0577980769544697,1.0627831385103887,0.990289569465684,0.969149446344493,1.0498498420628302,1.067958690834683,1.0427679637528493,1.03508763418689,1.114343383003692,1.1564388891733717,1.1691616125491762,1.2453028497411678,1.3564084840279211,1.3858634190453616,1.5342013292296601,1.5478523966446212,1.4348085005794382,1.5183431961657463,1.3457240882820949,1.2643734862497378,1.34860485791748,1.3457124974170078,1.7261082465988222,1.4920509092818444,1.3436632877907655,1.3630865491609603,1.2539004048471878,1.2762590306459791,1.2785526444174469,1.4695503120904798,1.23651945382468,1.167550368859493,1.3366147075581736,1.3011696405122255,1.2052668443700973,1.5229065240977093,1.7035809682661296,1.442597371384314,1.634040331366924,1.2091583205369474,1.1538623480976644,1.12229038801184,1.0858927447276405,1.1377447129566536,1.1848794596674894,1.142983919558564,1.0935489425995673,1.102058414028282,1.1133017817318358,1.1084954666588545,1.0823158601975222,1.1623324495238283,1.2307724152409538,1.1621820872264406,1.265326598133664,1.3370009886197705,1.5241136637793153,1.3452537819933685,1.3396234272163852,1.307102290188746,1.2373822783497834,1.1417607278511326,1.1651876870106983,1.2561459013944165,1.1626832084377978,1.141121344958316,1.2200294525195339,1.2279351339510551,1.1529416279926463,1.2224153365881818,1.288808559564324,1.2284604255097467,1.4125274623588495,1.4836321710998255,1.679496095271748,1.5057057893062364,1.344449925106698,1.7102861030358962,1.592384445617723,1.4807991408877803,1.254246641683501,1.1645199274266231,1.1548415169754171,1.1433684339079597,1.1325260455567991,1.3224566159466857,1.2241040511045407,1.2281984553561756,1.0012421975602144,1.0173139261872903,0.8858841935075453,0.9384405511212998,0.9172778771103247,0.9789256586067666,1.1393803917244592,0.9494193444936986,0.9632927699740111,0.9307782270603024,0.9864331319484727,0.8354850746993263,1.0467570210062986,1.0219628930773217,1.4313470674741944,1.6445733780824594,2.444653636010703],[0.8378079856143226,0.8228082514828524,0.9257218579018837,0.628297346556462,0.7124214635918337,0.6881563523334837,0.5613925734009476,0.5925869009457256,0.5778331046762895,0.5356430647993057,0.5563459701307538,0.5672579616799656,0.5520322245635189,0.5884228212642054,0.6295024746524985,0.6020524834586748,0.6538057186516582,0.7107488377055378,0.8767416049234387,0.8494308610442713,0.9722382492052971,0.9947100024531191,1.3310881870620175,1.3693864763641879,1.2630395421777993,1.079519590241759,0.9121211200489745,0.7830264168297222,0.7079808108046971,0.5728488229466763,0.6750456331986773,0.5686388711620398,0.6010970231818589,0.6375320402857104,0.6072177035802787,0.6518679968049311,0.6159445108279465,0.705342963587005,0.751475981229446,0.898111446244388,1.0240130696527903,0.9652969151777551,1.182798185243497,1.679926886766517,2.1812672041921095,3.0208488660715247,3.908318414637698,2.8959300955397325,3.2126572340693174,4.2199079538643955,2.944368773609805,2.528098900833358,2.040877228880424,1.3347366664259004,1.4909609631726866,1.3773511802094438,1.316605806807394,1.310320078758098,1.3930085019292058,1.4731723962431558,1.0188086440206119,0.9954645599610805,0.8968601759522695,1.063444879010614,0.9747816893939112,0.9334315550215649,1.1122729530310342,0.8760816873384556,1.0821575925881008,1.150590563364668,1.3992322841290719,1.6806331694248136,1.341476651109248,1.238982788495078,1.0108584637583287,1.2175828552766068,0.863529823625362,0.8198639198037594,0.7813365868312045,0.8151420036243129,0.74588319679312,0.7890594089224274,0.9553905620987422,1.0359684436685306,1.128038060474681,0.6890880737084384,0.7469040675546024,0.7706830289583436,0.7111472379948018,0.7286766848810687,0.7810426501370878,1.0611197604238964,0.8717559049529857,0.6977324064610767,0.6653641813234803,0.7674278473748042,0.7459864155079656,0.624514746532732,0.5666349623542749,0.6564605330062093,0.5647994132662739,0.7450405400047624,0.6012342800147856,0.6964884876732303,0.7087367410435996,0.7404664361890643,0.9026506114703635,0.938698226017764,0.9092211190323645,0.9345748225863671,0.8017612732406855,0.6281893157509586,0.5560928160429162,0.5734113455820671,0.5562618087237524,0.6404853622032168,0.74992528503624,0.868049595810129,1.061213467571824,0.8004690100753201,0.8331871393176516,0.7462185372083423,0.7589442200628117,0.5846605364521213,0.5049883478379784,0.6007762515519944,0.7370087481385882,0.7117323002048076,0.7969932677474115,0.8332401346629791,0.9445155535648793,0.9753926255285511,0.9418190606611989,0.8463220544017439,0.8849852483709275,0.8077094755634255,0.9235820793165556,0.7668933240349867,0.6814285225094966,0.7029168671475573,0.89826519771812,1.0891685973967673,0.8810098309723045,0.7500424421503183,0.8810784166700998,0.6614409976164789,0.635123079790002,0.5808290255225476,0.5487001662248713,0.5597686416966682,0.6568489565444603,0.6135825661686001,0.8428698327454704,1.2502462261646905,0.9642035478100764,0.6061575730403864,0.5437833015353868,0.6058966369585107,0.5599110504439213,0.6036024499458248,0.6544667567583361,0.5991887615775806,0.6664968368777605,0.7245588200995663,0.8069057150056496,1.0401054678465531,0.9851648545725242,1.2904683332193294,1.3366006688577095,1.0533946661892257,0.8996192501290795,0.7445337094371142,0.7241533916942826,0.6740765096709398,0.6261642685176868,0.6175242051326367,0.6453537023139617,0.6978870102091993,0.6638539411208734,0.6965895568027,0.8206198780479502,0.6739592411752031,0.8466012718691973,1.060905851439881,2.3198592896100245,1.7822985712646815,1.9280597976597929,2.084753813171334,2.1468788210613248,1.5416737493516495,1.4711592321718256,1.1724577678861647,1.9153006369840064,1.6482655764269944,1.57652729041108,1.5169976616968608,1.176021855361791,1.1771514469762634,1.1256199868404277,1.0399850328592195,1.0580851902301303,0.9827955813010607,0.956549013069404,1.047851540008222,1.0707005072058808,1.0366256304399966,1.0311500152706252,1.127224327037632,1.1607932657009443,1.1709021312815593,1.2577304719203444,1.3745250875264108,1.3982012043319265,1.5752664631176498,1.5674684352718493,1.4528069457781667,1.5523943804081723,1.4126154288826231,1.3119528334937323,1.403724000641454,1.4108610586268546,1.825979119125224,1.5584139392660137,1.392642259020781,1.3854290536269538,1.2753172119450613,1.2929428164010164,1.3169559492052854,1.5157261282224794,1.2618254461557836,1.1894180977225306,1.3857851698735337,1.3366070816237297,1.2461052355436124,1.5718149680665319,1.76889209624152,1.4662643281542875,1.6329877126221053,1.2155540196818175,1.1498524829053471,1.1278463286877696,1.088419574699215,1.1233657561987656,1.1633332456556047,1.1040061044817622,1.0633946707887714,1.1010148163312015,1.098376025308949,1.0851939575061798,1.0700971087077045,1.1481534300622092,1.205787486852979,1.1479805147986881,1.2640435718143952,1.3466411566096887,1.5291326918507144,1.3642706401124656,1.376616894822479,1.3384455575296066,1.2641943010408276,1.152174986005483,1.1956541987276275,1.3018629801194344,1.188499574732325,1.1715050658749147,1.2692962405278945,1.2736791737197355,1.174553113690571,1.2782021966852772,1.3709976829904504,1.272468717792363,1.4397030656057546,1.5645921903822202,1.748322111437165,1.5656963133525104,1.3891381482732597,1.8167477628371957,1.6465186729713315,1.5628802257313226,1.300565600048968,1.1844238212676468,1.147715709117224,1.1460716180139672,1.1255488701611822,1.3273320942188815,1.221166569268764,1.218121067964741,0.978233301250359,1.0006093957146511,0.8581909635835924,0.9346107124510104,0.9125585939735796,0.9749537071931489,1.143269294507991,0.9590023087507508,0.9684384190064234,0.9472011922971303,1.0226418505532522,0.8645694391005555,1.0497694750679498,1.0989083328517883,1.4756518423754248,1.692445495194337,2.554417421126848],[0.7684995840237412,0.7562533597241647,0.8539161008417863,0.607311173169455,0.6853270332383617,0.6689166605084133,0.5722598695676093,0.5888917901203082,0.6304294626801525,0.6260363476469935,0.6620578899615767,0.6743402294083055,0.6769867096629009,0.7274263975109012,0.789478458368068,0.7479091194612859,0.8099941958302583,0.8853747324472994,1.0301980846948402,1.025961846784659,1.14647765355508,1.1424365952262703,1.5167420045953057,1.518527364021067,1.4418863828332338,1.2477790048718074,1.1047278277171466,0.9535718346547256,0.8763575540615673,0.7291131163660178,0.8439036354198517,0.7044213188503402,0.7272640264696566,0.7991731015228339,0.7800846231040103,0.8292925872597253,0.7840452228819184,0.8978884481507208,0.9544553182917695,1.0899628640495527,1.1702248027035165,1.1444985804632453,1.38109144810727,1.8352118968815998,2.301847261130785,3.0783051745563146,4.029872593048169,3.0769342547560163,3.2736110569880985,4.241550870394367,3.1111471075384936,2.6652338046884663,2.2670170846439985,1.5326300747209929,1.6769104196417655,1.6165690152036902,1.5221861063000666,1.4978512923160672,1.5608272511975494,1.6467318360811496,1.1909632099365106,1.1640817001531816,1.1038075402863858,1.2562713478399181,1.14037565330597,1.1163678914906978,1.3038339499752194,1.0516715132923413,1.2131566769728817,1.286736457241808,1.5328565956859528,1.8153243107208286,1.4603812996182428,1.3906776631756894,1.183028881747241,1.3833195154134026,1.0528026154971903,1.0119515137234585,0.9790236640737178,1.0142125229377985,0.9438254305040845,0.970858145726617,1.0880441217675518,1.1843498242640826,1.25444833212479,0.869795147509671,0.9454697779889595,0.9223478009272367,0.9084626881039258,0.9062812306311225,0.9567117759411016,1.2255055877187682,1.034694594340158,0.8664566488860166,0.820399018561704,0.9038454822373866,0.8833156644117949,0.7187641899419591,0.6307908740811906,0.6607121986833621,0.6605166098760592,0.747243987413116,0.6777406808812537,0.7073253422705497,0.7565791879398571,0.7021084778691984,0.8035014820125436,0.8342391574376111,0.7935655102737947,0.8317471991033423,0.7082270347069127,0.640869937592626,0.5985892091652292,0.6395316531309748,0.6788077340799606,0.7704791136896318,0.8952340733705736,1.0150171812439637,1.218339287332218,0.9463088460488901,0.9549805190882595,0.8582816655407819,0.8552935256172316,0.6878679463739041,0.6016938562349076,0.640833073232903,0.6809047660882169,0.7114460413478215,0.719800943632985,0.7878149611744973,0.8734613555485704,0.9033272781600016,0.9194789151634801,0.8274281138801763,0.8684867714235072,0.8012179875090495,0.9008303878970464,0.8137462215133009,0.7725176692162744,0.8426901162250997,1.0512619389914633,1.2729567176009466,1.0546835369024605,0.9253436777471714,1.0748449204597954,0.82844127226317,0.787714054192977,0.7042738515169162,0.6382757161753695,0.6235536872046469,0.6239818602124826,0.5980672917016856,0.7577781685167457,1.214167736883313,0.9549931361262972,0.6075809348174673,0.5980239743215732,0.6183697755443872,0.6474727995207369,0.66299383975349,0.7412222093289973,0.7532116306386616,0.8051573326014081,0.8561877760252803,0.9199559405153486,1.1579668384098296,1.0692732773889666,1.3663005627826532,1.3763524340801023,1.0886362430127292,0.9469330146739222,0.8231413436267631,0.8104649882488024,0.7712002744913189,0.739734284508372,0.7111770479905246,0.7608152559355156,0.782320668260719,0.7944675857606386,0.7911845709143774,0.9380680106906748,0.7112368086236641,0.8672051368485546,1.102018952635739,2.177356727472692,1.76871071561116,1.8823982449211032,2.10663547629225,2.1179244340093804,1.6374292937187274,1.5761043559477994,1.2178328804075054,1.9045414438630233,1.6063441330923127,1.569897462451538,1.5478567996266828,1.125921530350799,1.0804280941440367,0.9863543674590352,0.9071548153584337,0.872614947742119,0.7870839516946211,0.777956346932586,0.8278811209186516,0.838057011554415,0.824441241657253,0.823829633883128,0.8938353949789323,0.9239893712274748,0.9736640052265981,1.0602980448815515,1.1618094784494286,1.204316544960829,1.3895018750179078,1.398025171410399,1.27721220955734,1.3520703559956793,1.1980645119176825,1.0783396302065964,1.1647305462022983,1.1661197733931226,1.61016309681909,1.3392174861445005,1.1759335996012197,1.1694034029382263,1.0486592216910877,1.0672685809729525,1.1378600012115934,1.311929531915382,1.0848359564111718,1.0201892775819152,1.223640524412124,1.1796530224929345,1.109716720914153,1.5006585171068616,1.6575122884421392,1.322282572881314,1.5349163572695144,1.0507225234846473,1.0422386136010877,0.980616131777619,0.9007294296051351,0.9455418718894786,0.929140896418912,0.9462539834786154,0.879549885314759,0.8880456191784726,0.8876921136438325,0.8826936886678001,0.8323166515854298,0.893916332974686,0.9683140444085125,0.9188012985447627,1.0144812042449778,1.1011925597301613,1.315454726675233,1.1311791855396773,1.132853471960165,1.0976067575873822,1.0023299083254928,0.8970779170868635,0.9411034203878184,1.0277613830842949,0.9351129890300681,0.9325497344874536,1.017743483379369,1.0275599256987122,0.9399270121785579,1.0747141602997008,1.173156280235484,1.0398437834309429,1.2190201107532368,1.3611632182364115,1.5080995466170959,1.3495541514005587,1.15625767301217,1.6941119424162692,1.5031452006125494,1.3437708546638822,1.105676006233666,0.9683398509245331,0.9942039216570784,1.0275024295489623,0.9066534244282392,1.0671015801697747,0.9705004899284915,0.9935947028087515,0.8083115332451944,0.8525315167992243,0.7445208941557486,0.7782030453981829,0.7629800865856197,0.7876842075536248,1.0396337924519903,0.8456502731895627,0.8144071948939934,0.8384471771338737,0.9752157909859324,0.7904978977364222,0.9888984078431529,0.9773096614316846,1.556497380582194,1.726898528036779,2.5621108895227445],[0.9527395029059368,0.9214139980649008,0.9127350842753875,0.7247989254107121,0.7628926687591435,0.7835081670227738,0.7032928763564688,0.7110254058520729,0.749836525958595,0.7645440235552428,0.809088950506972,0.816494727050993,0.8222578954981675,0.8772571218452225,0.9488552417916741,0.9143219939671214,0.9632593425370689,1.0378594640461338,1.1927966680895494,1.187228269965208,1.3169508603885305,1.2993221984207564,1.6569805502074169,1.696273000996375,1.5953580778634942,1.4258951500508747,1.267270172179756,1.1018095583765188,1.0217599064372243,0.885658105284079,1.0018988072570802,0.8711272802696104,0.89650662099991,0.9630416380307544,0.9476876248724205,0.9975482067266725,0.922882397042791,1.0419315947898247,1.1064732486393816,1.230829430057796,1.298410149040124,1.3160184194137141,1.5671659219371534,2.0153143646128284,2.454996349521887,3.2525874650377866,4.160689424224876,3.1720374323440335,3.4548485924234473,4.276115321259411,3.2100545900022404,2.7442267001860996,2.4180995954642097,1.696772559265458,1.7911937479257292,1.7850426964985897,1.7104643029834359,1.651960521648524,1.7010969841616146,1.8397613032651634,1.371442702788331,1.3486889598898413,1.2760010992688153,1.4196338119146874,1.3310754137020906,1.2940133923886918,1.489382283848469,1.2158464607422828,1.399776198324887,1.415382539803742,1.645870575758011,1.9373178262011708,1.5948116705609372,1.5417746862807429,1.3375701213982283,1.5567117863463527,1.2265783691456713,1.1837697051270972,1.138289184925413,1.1829090085595801,1.0856220854951362,1.0858524015639888,1.2193847022232074,1.2409040753952445,1.3544458758809852,0.9910418644372938,1.0945089511333665,1.0351490770225118,1.0750444522632672,1.0609118652849767,1.1212159245574411,1.372483499540428,1.1857194673880522,1.0260573413365448,0.9833535844692175,1.060856589870002,1.017930301598281,0.8735532676189907,0.7960754473583802,0.813869138729651,0.7951945468498758,0.853445819409662,0.7805032671879365,0.7689461161474348,0.8089974654187839,0.7530088132136713,0.8439398068343074,0.8858022599601106,0.8485136294621155,0.8851465644446832,0.7730464132859629,0.7378436489561994,0.7163834428887145,0.7525650432287252,0.8062039696289149,0.8971105193476407,1.0245173124392315,1.1596360896839832,1.3976047779558358,1.1006842290150347,1.1093964848513374,1.0009648618028937,0.9823678488207959,0.8162315515268799,0.7241485337289032,0.7534066231902938,0.7454857540998484,0.7767758115905427,0.7783849823187987,0.8343728434687295,0.8980772382167769,0.913345060657346,0.9354621121312202,0.8659097420676093,0.9155157538106496,0.8785217032390655,0.9513768848893963,0.9239253631795714,0.8990548968737875,0.9700389159383717,1.2218642152608667,1.4482784429568263,1.218382493518446,1.0619190021950882,1.2071677132993153,0.9710933101328117,0.9181543872285598,0.8261557710290992,0.7547042862719252,0.7420441291454923,0.7187524056739598,0.7119092004201873,0.8341670281682867,1.3140874471126454,1.0734269218830899,0.7238615923974347,0.7345012382059833,0.7238288512307657,0.7816081993747609,0.7571012966612753,0.8407516604523686,0.8860722594063695,0.92707206719189,0.9876611294780174,1.0089383936452097,1.2642959664289672,1.1337619212379193,1.420373763311924,1.4014643341790012,1.140513067139365,0.9952703432697559,0.9244263343252109,0.9102936040081938,0.8695366700759496,0.8557865114020127,0.8188034495375234,0.8715630615168759,0.8892854482761048,0.9262528862803185,0.8810812788091047,1.0059548084084469,0.7798297024358238,0.9054898755850503,1.126715836607089,2.0958095743922196,1.7960278560432186,1.8938393912062634,2.0909810427502555,2.1673026298604547,1.7270198180689915,1.6947220886118628,1.2510978141797704,1.868267668171688,1.575328627898772,1.5503566756780833,1.5081818645108664,1.1027845601164443,1.0600450017647034,0.9855056283569077,0.9310871974823123,0.8944063682039926,0.8451473570294212,0.8372562779235938,0.8780146867935015,0.8991765366906219,0.911577323076498,0.8921654044309437,0.9626917748663271,1.0258541005517625,1.0732342469780602,1.145089509746276,1.252928179812474,1.3125541461552541,1.4724233228898702,1.48559553938786,1.3602542000352806,1.4505361320280128,1.2807971387316064,1.154553649389982,1.2442893894891556,1.2233818028248291,1.6707890788296522,1.377100438716999,1.1995491462429098,1.1794634312506675,1.0629710858239356,1.0949431545198993,1.1371145800718645,1.32182704270117,1.0911600303661877,0.9980486656041135,1.1939585043186187,1.1585492227582412,1.090391175176085,1.4844399426797976,1.6387480391345894,1.3012951972182067,1.5294026375458345,1.0494292478679172,1.0336937360620406,0.9758193315790274,0.9167329128536957,0.97021296232818,0.985205642700231,0.9995085118934152,0.9173088040481107,0.9466994712039216,0.9752040395445989,0.9674165858040803,0.9242278548318612,1.0140934910451576,1.1006108585078869,1.0407017651028712,1.1237856873275331,1.235380301323101,1.4297113518060223,1.244115654842442,1.2434761698194639,1.1889989590489358,1.093332545603609,0.9789885203344633,0.9924578609260567,1.1030272500519644,1.0033274854956749,0.959553172992033,1.0545753361330221,1.0742516814673941,0.9681172711165956,1.0874602952753298,1.1829742501573326,1.0638889773151237,1.2308075626202,1.353456591422959,1.5268658063046268,1.372386611741454,1.2002618351694911,1.7157192124709522,1.5731614865795307,1.4300572262151117,1.185467177432947,1.0551423766622456,1.0611479896242997,1.0881403946814516,0.9893033506558019,1.135591039568974,1.0244102445132435,1.0484902503876616,0.8635388998706025,0.8781992816352644,0.7805410288406697,0.8631782985007089,0.8350262554581845,0.8723633474411286,1.1742019309369294,0.9348246955428345,0.9045890715810346,0.9324925956921339,1.0710783102217787,0.8700609661342109,1.0336309200504086,1.1479460174518121,1.7640716888957193,1.931387098682532,2.6631734007405106],[0.9079213574687169,0.8427694098999257,0.821385953561977,0.6514741695554385,0.7410101915079179,0.7285762412915764,0.6957170204380547,0.7097010759963982,0.7702291923624804,0.8356250924879965,0.8850333581956074,0.8681754715653758,0.9294540197487392,0.9958045420795727,1.1071479577267702,1.079702055440184,1.1376680787085847,1.246140944795793,1.4300646037862057,1.4354241018526124,1.5943853614825843,1.5619711343153184,1.92208649868476,1.9770666494482316,1.8833879641928395,1.6955405593352997,1.532491857073639,1.3095591071930925,1.2130364348583356,1.0618282171269384,1.2094400908411762,1.0294717415612786,1.088620645477891,1.1887537796559433,1.1566516534911082,1.2178222325665757,1.123143532943904,1.2680156179825255,1.3577831547448456,1.4870606354095428,1.5238114549897586,1.5550158470657442,1.8233290929761803,2.2317217895635713,2.6282835789410157,3.3413315771953616,4.300201388289079,3.374872489464281,3.525404427334172,4.238110408792699,3.3773459637814587,2.970952416415763,2.689184568596814,1.97666138895593,2.0549201111834763,2.07571312629651,1.99403098421293,1.8842042995022514,1.9290109853545543,2.164444058710819,1.6651569754052173,1.6327180049751846,1.5752487960802677,1.7368318694550495,1.640686634746236,1.5790428482019994,1.789790854458085,1.4692185194914322,1.6355815234313187,1.6661869715479287,1.9062704170143694,2.2070870082684646,1.855455494029087,1.8151488575637102,1.605708951963759,1.7985996258997556,1.5085792511089695,1.4518067450617869,1.3996248627175742,1.4474428474983727,1.338960518636082,1.3187988909355868,1.4129395187488298,1.3741348947374967,1.4742378106305958,1.209155051224609,1.350722740282917,1.2642664590831734,1.3250566019261307,1.2890684784374418,1.3710566149586192,1.6541596304239468,1.4390102652442753,1.2456895521311033,1.1763396578888958,1.2462523969632933,1.213053084970017,1.0305689471192059,0.9232054673556962,0.8849745004968713,0.908844938652424,0.8787465850633464,0.8777573646946331,0.840864074892015,0.9543270823350867,0.8421029784192345,0.8615767650738868,0.8826786964423555,0.8459735196596333,0.8954283562434495,0.7571239419683637,0.777580824507353,0.7439261941839926,0.8196199075800927,0.9092646831555008,1.0265321537698,1.17455059995138,1.327107971163134,1.603122309882024,1.2956142033069746,1.2758588883573254,1.1418070670941936,1.095438583706128,0.9202031331113172,0.780370253499992,0.8011097457322724,0.714284925352194,0.7951162763464087,0.7823627363883198,0.8834339938360685,0.9387549017722835,0.9667448135533868,1.0266536171532907,0.9767676517226622,1.0144601999263856,0.9448034497454191,1.0142835184144696,1.006922679940223,1.025751243511756,1.1254633590581722,1.4031461870477135,1.6563652373720303,1.4579412422175977,1.2739893461132905,1.4496233911611416,1.1672622854077146,1.0916344361781907,0.9508516706557665,0.8526831870487039,0.776203965844542,0.7274876693879588,0.7136341626130791,0.8116990563120188,1.3388905123046078,1.1344478523540569,0.7687536854366991,0.7926065229559203,0.7569205928582204,0.8604901972477519,0.8442760577853091,0.9783706051191473,1.07967487453351,1.1138555703604438,1.1815787012062093,1.2473341062312562,1.4698811982441298,1.3304398463112843,1.5914191026338946,1.4882563186974616,1.2680462477792822,1.1558251270573656,1.091826081178163,1.1003605632681237,1.0629162427098051,1.0366120618136034,0.9798549684643825,1.0059000371596574,1.0415244136266708,1.1177609785824383,1.0593965290176066,1.2206511218528828,0.9429548720759408,1.1120806847921372,1.3312648381971222,2.0293587807915725,1.947237500103046,2.0391233359444216,2.1822897315569785,2.2559500959954235,1.8945771349182101,1.8338138331762273,1.4630578632975764,1.9818139338285594,1.6731971966238488,1.662195316569121,1.6479031022030575,1.1953168624862796,1.115807621577572,0.9918401058292305,0.9199222342999701,0.8286924201970082,0.7588833536197812,0.7558820834686242,0.774111664334069,0.7763467520969399,0.7866495461357493,0.7875669774155883,0.8432212476399159,0.8879836488050508,0.9566884473099582,1.0345816597068471,1.1374684615019277,1.205612508560369,1.374876896495231,1.398111412392704,1.2683891060794474,1.3557085082520277,1.1730084595310017,1.0359089656225942,1.1203686855366057,1.1150189520190057,1.5733770821164623,1.2988301070223325,1.0911282591454021,1.0998281477058167,0.96410314468359,1.014900597134147,1.0867554470360987,1.2185417167345893,1.018489497069166,1.002495593256047,1.1996357177388655,1.1653860249490136,1.0950348345065033,1.5102150998656574,1.6796940673518146,1.3187219622969195,1.5108024513344844,1.0220676436117397,1.0529091755223408,0.9905242343367179,0.8766466656183924,0.940077898008084,0.9143298419065654,0.9991747961941375,0.8966134349307135,0.8617162536180858,0.8712238651799707,0.8696242793232847,0.786704209686931,0.8698218463403262,0.9571624148377105,0.8915861583692714,0.966147447558697,1.0988834529469402,1.3113553817935124,1.1126545024552832,1.1069295760816347,1.0463984103509445,0.9453406693869105,0.842109181856541,0.8623541589512727,0.9716603400988387,0.8752937902263176,0.84821846911069,0.9434049794610254,0.9580450069195555,0.868720372664745,1.0100490391954797,1.1294612103431394,0.9713481532785267,1.1445627302395418,1.3115024310553345,1.448255851670093,1.2788660813469428,1.0985082495549332,1.6719081267060911,1.488779707067132,1.3138619407059524,1.0813649185932743,0.9473620580283871,0.983933397624536,1.0194013672195115,0.8806063726164126,1.0254392981139837,0.925553843470028,0.9450667522371972,0.7862800976137535,0.8493415985237086,0.7539515057916629,0.7564361382998429,0.7523134386469444,0.7592759570734835,1.0841742199697824,0.8435058634437869,0.7964572664729208,0.8483518395888031,1.022664946054103,0.8040743453678334,0.972630267132205,1.0742676576619417,1.7917893500750615,1.9971731809116546,2.7200595063028765],[1.0468069402299347,0.9982514880174395,0.9530224712713348,0.8219525397255701,0.8615839535005817,0.8956560509793846,0.8365112062333628,0.8388475303499285,0.885816619835474,0.9126717864049075,0.9578165713163962,0.9560969783225708,0.9975064513479662,1.0438138892934292,1.1311609450843871,1.109994460194489,1.1639572385678867,1.2424803237596636,1.4030838096520581,1.4076223655563742,1.5462407521333252,1.53067094711781,1.853252703006344,1.931838863220061,1.808480903291455,1.6589632434950343,1.4894299334776415,1.301085989206411,1.2185907254034678,1.081256688855509,1.211783272665356,1.0729295673378432,1.1005358132941234,1.1776036932737854,1.167053295172401,1.215959780090081,1.1352918486354295,1.2383322473139649,1.316342452054273,1.425296465014647,1.4924645716349034,1.5439448934405602,1.7798689397152125,2.188785309155592,2.5822324998748694,3.395408171527048,4.227942566780144,3.2342237787326202,3.6086879642573697,4.276390178764464,3.2966940938515874,2.849378517266687,2.564445044809706,1.915045589278341,1.9495143285428753,1.9690842753616828,1.9111401865710569,1.801977106811565,1.8349809021626324,2.0709814027492666,1.6003080740568827,1.5824319460239311,1.5187319899881246,1.6683266796930938,1.5888763948734765,1.5373106053731533,1.7308922248621659,1.4462843320121905,1.613530402659621,1.6230376556755377,1.8165376520999998,2.0977032529106467,1.7890218202272963,1.7344111861174745,1.5654899163087626,1.7712179622181818,1.4671023685753353,1.4265424105644122,1.3760302617368338,1.4148535005583955,1.3008020775635412,1.2772838252360195,1.4085512696847082,1.326440037838465,1.4708897958095193,1.1757950550546745,1.3065991348756774,1.2474748419863617,1.3033757751046273,1.2770724655731827,1.3398653273476717,1.6075538216955838,1.410440518545474,1.2451748375429634,1.1935950578019687,1.2562013500394238,1.221447087264802,1.060162443417677,0.9776308639842926,1.0040241402390615,0.9849248992208536,0.9818560611100625,0.9314184955529752,0.8883530072737523,0.9494230258225671,0.8553361185018354,0.9025352785674103,0.9106550224583941,0.8967050657048451,0.9444119485104722,0.8379880185986209,0.8400780933882858,0.8533808705823467,0.8841137029919213,0.9736960140663113,1.0701376434012952,1.2015585432328435,1.3292951461931386,1.5968122765352326,1.2972112576131132,1.2854170012905322,1.185253762286136,1.1491988827891824,0.9824092384868781,0.8758264648748021,0.8773464573675228,0.8234315757818856,0.8554436460092377,0.8365728384366871,0.9016605413376504,0.9242222250731174,0.9273177123578191,0.9777972313427958,0.9362468404097988,0.9837042217546226,0.9477151822699644,0.9966003981905679,1.0053722941920733,1.022544319807815,1.1246947529372449,1.4047597229019615,1.6399279741679804,1.4096482238435593,1.2407288204466003,1.379058276729342,1.1554526250147212,1.0876723300172146,0.994507033882662,0.9080414114004488,0.8979235783687832,0.8494795103698087,0.8624189070521223,0.966255687699302,1.5013177282292078,1.2905326031065745,0.897032296586847,0.905302967167594,0.8714836336744745,0.9427609010398987,0.8879833894132506,0.9800627922747268,1.0685532806173719,1.0962152551619795,1.1632815760794553,1.1693872637414775,1.3928886180706617,1.2489882449375445,1.5038279213859658,1.4466242998845176,1.2234792432300718,1.0936468131392736,1.0431306935787386,1.0442267881539788,1.0196802239898894,1.0132166549214556,0.9641259816370045,1.0158806349724054,1.0359293576871076,1.0951737936937564,1.0167810126723362,1.1582022215275316,0.9013314898939114,1.0077305812878796,1.2141126684605388,2.0184245996400625,1.8931169043716645,1.957686721274879,2.118484138351958,2.239588652791841,1.846326706287857,1.8468334502215589,1.3787682336235974,1.8540852103604875,1.5798628719108718,1.5424613085840195,1.4699196626910112,1.0797345960866604,1.02548865027581,0.95622815911604,0.9393437002462351,0.8805596550522576,0.8609928543749296,0.8599691523140659,0.8820223227108103,0.9015429226890042,0.9312294549291963,0.9090153660058823,0.9646176341564008,1.0318423025572985,1.0931979350505014,1.1545114233546179,1.2524688553771146,1.3283239744338275,1.4693554736064305,1.482134112262375,1.3599422860870427,1.4327180951041585,1.26630010097474,1.1347675627820126,1.2107944392071568,1.174639092242017,1.5906063443018934,1.3054300464501298,1.1349129472281012,1.1408281141038803,1.010778307412289,1.041059923098626,1.0779679590190168,1.2373909484419217,1.0514795563881094,0.9331350007828719,1.1277603373384701,1.1279586957331473,1.0346381149152613,1.4491240880839646,1.57991644435517,1.2747203627687904,1.5078812048129984,1.006055156137186,0.9863776731195327,0.9418759046502728,0.8810039862728619,0.9641668145213284,1.0100114195755945,1.086652249494139,0.953884501048217,0.9689855058998568,1.0218907647969098,1.0218415047087308,0.9391242104185522,1.0383496799251677,1.1319938116909962,1.062909540959269,1.117360880929268,1.2519745360701515,1.419391985875819,1.2435262428065172,1.2353203664447543,1.1687940248206379,1.061907830200402,0.95936901487235,0.9595823299128484,1.061075470371102,0.989694657310609,0.9328375608400113,1.0078100412959472,1.0309988654071014,0.9392663608615356,1.0406435697268444,1.132575645609646,1.02746841570503,1.1738340578465385,1.2623124096529506,1.4689467253406934,1.322711566690803,1.1846143699883624,1.7090267013901592,1.6150736410263862,1.4410479475749878,1.210975020474563,1.0659953109290712,1.08705027549391,1.1326326965835463,1.0036172117312898,1.1165965889473128,1.0035862439376295,1.0262199051669574,0.8660215089580829,0.8792859781643242,0.818827022077103,0.8872289106238043,0.8811684393298362,0.9206520642309424,1.2793669778534953,0.9880856826158778,0.9529027598316782,1.0087032809930734,1.1445912791257622,0.9403946916013771,1.030567622850283,1.236974132700636,1.927908693821749,2.178995246498409,2.814747135666282],[0.8238597933111269,0.7925198378770913,0.8014093923521164,0.6106408673057556,0.7122538543269027,0.672822581923062,0.6004645884370948,0.6105645475675607,0.6504637529760032,0.679359559885367,0.7123035321889081,0.7128039514558973,0.7568436648276073,0.7977239835059269,0.8748670173741435,0.8600520388034758,0.932486924251819,1.0085773215500227,1.1733823464483497,1.178522948290219,1.3040752060842173,1.2912580987532618,1.6475600296015822,1.6966896918349108,1.6043058118172127,1.428556499741407,1.2808425490222308,1.1019341673746514,1.0096021654603615,0.8583230031426987,0.9618980101404668,0.8213910535242379,0.8496042925202246,0.9222921180255136,0.9234678821411471,0.9811681644440619,0.9130987486056035,1.0426237376049774,1.121667678586355,1.2602349491374134,1.3292589230882708,1.3255878032379824,1.5740790932696433,2.030912480748322,2.4599572664142904,3.289116259120973,4.158566262351268,3.162959933093182,3.5113813559896148,4.333227979968181,3.2228736532247555,2.7714943286286373,2.4251781700543407,1.7341519016893747,1.8151621760048526,1.7862263944274235,1.7136621105675576,1.6581865051988474,1.7070360926037478,1.8294502436089777,1.3751661943931413,1.3418837256555933,1.2589228554420013,1.389672106165942,1.3232587390335568,1.2788177477557452,1.4533715433469614,1.187968054036669,1.3574984018854195,1.3785577921244323,1.6111095772947541,1.8987327552137339,1.5517250705849832,1.5006500423848426,1.302021020551738,1.509515936044044,1.2065212724220753,1.1638520637636136,1.1275738897994283,1.1783495478266202,1.0951242821962417,1.0963186420589346,1.2368974587880632,1.2309135918497671,1.3563897312278688,1.002108312409736,1.1052232925491936,1.0519211806596778,1.0700166173917496,1.0379199589277865,1.0930153096241013,1.3451927922498501,1.1504710341348725,0.9745411172972881,0.9259321374892809,0.9960001350899459,0.9615688251279435,0.8136492690783261,0.7187187544824165,0.7220992412200112,0.7484614220520168,0.7988778697387441,0.7494545535110221,0.7446397264122961,0.8270751378495121,0.7382192631195379,0.8258709541645896,0.8614806090961448,0.8206083746659736,0.8408282250372818,0.7121620693240097,0.7054759558020408,0.6607401487766852,0.7267768203990727,0.771770062851998,0.8887254851362744,1.0137903193671451,1.1627879963784034,1.3760954702987422,1.0730532517634903,1.0708618293798953,0.9607563118780292,0.9634173110048931,0.7826399344745243,0.6662594234621833,0.7346245742329451,0.6811867618480956,0.7582605110333827,0.7609412577125334,0.8437003418176361,0.9074842441265795,0.9216449852699068,0.9785302080875897,0.905718702473217,0.963970330549345,0.9027851735005591,0.9915263315028039,0.9572961584900359,0.9443806900263105,1.0216384081716985,1.2739144068558224,1.4734789273837623,1.231884479396004,1.0884952917190727,1.22780192654375,0.9763794825866896,0.921682082978289,0.8081669646777059,0.7311917135333242,0.6824451709500489,0.6427718771925821,0.6239889251926921,0.7527851426364455,1.2651713819288009,1.0264076186364453,0.6452234899379536,0.6587443982540974,0.660923988759841,0.7360588984269469,0.7327992560144371,0.8559219611419415,0.8986421078814884,0.9650734659752352,1.0237487462697592,1.0787902518776047,1.33926902734384,1.2056531182053016,1.4723291092318962,1.456329565230355,1.220602386536256,1.0736293068726885,0.9828823607204872,0.9621065549256491,0.9130480974234512,0.8785264560996159,0.8289033950051866,0.8589747957533478,0.8917658735276162,0.9456857029519303,0.9024803455574226,1.0462064565125315,0.8094676299728195,0.9449035984653067,1.1618298252167825,2.1068646228183003,1.8569815545766568,1.9446890518567315,2.1232422534755697,2.2347913221297238,1.7919457865516002,1.7889966087872105,1.3295232460301716,1.9056233329060088,1.6223048263262998,1.5899092229698768,1.5229941482768352,1.120372515271751,1.045046549202021,0.9467867979361559,0.892816609810016,0.8287597053417401,0.7598074955810553,0.7587783019314058,0.7864986269982898,0.7832426665578304,0.7869585201441643,0.7794471726046716,0.8338811845904859,0.8801164503984885,0.9444686989693989,1.0135870297113718,1.1045499160217922,1.1699506064513132,1.3354837551745686,1.3502935515941679,1.2405235801669308,1.3131979888498477,1.135480518265843,1.0095149873756326,1.0800183308647187,1.0603029448138086,1.4852414568735188,1.2234791817298538,1.0555328770039436,1.0567703387246892,0.9421365806724777,1.0062223100637517,1.0556750893021816,1.208251245066382,1.0125825714319756,0.9210393861169299,1.1153118352016609,1.1001683421478987,1.026405748432686,1.4589987766142105,1.589677030062648,1.2686280946088182,1.5233718493160653,0.9895583592020042,0.9878007572728941,0.9233942199008073,0.8476811035757599,0.9041617496560161,0.9218421208982083,0.9735552735066373,0.8691364637351651,0.8537956571240863,0.8844157310910795,0.8800885884843589,0.8000917484312398,0.8767730717024623,0.9627297099569052,0.8974627780877475,0.9666245009348167,1.077242028720159,1.2734755862969165,1.0825084982587962,1.0748319896276548,1.0186176771659317,0.9289863267160844,0.840754298955311,0.8523789510694041,0.939229215470579,0.8668584437242544,0.8380286729347045,0.9103291863644687,0.9284985408482082,0.857518461051016,0.9822667449344036,1.0651386561103633,0.9504113776270819,1.1460457031365954,1.2348104688245507,1.4322797566053238,1.2820379806940654,1.120642809991454,1.6657561618254992,1.5598498257510518,1.3196325110395786,1.0946928812929753,0.9420150034652868,0.9635910615178133,1.0235549161642736,0.8958466144387727,1.0489720358891488,0.9577018787971713,0.9597296159530562,0.7900134120317063,0.8316908279122697,0.7395035679671791,0.7533708265642365,0.7360127354644254,0.7541233095758223,1.0956663537736857,0.8302858251153721,0.7801930852132692,0.8150100131004459,0.9751710876952324,0.7480574867687785,0.9318889264069982,1.0093210783509747,1.7658088650853168,1.984938800161335,2.7083457239120152],[0.7807957397581389,0.7449085420941484,0.7542084513825624,0.5578603247506839,0.6181234276845898,0.5777565881164605,0.5126386419819344,0.5542735282496295,0.6118555673599367,0.6656609112354792,0.7114433795289132,0.7041164696889911,0.7916877449006613,0.8196275205105861,0.9391334383269172,0.9341373887805685,1.0229051102637179,1.128141181961446,1.3107568052880207,1.3476417178771292,1.5042825610106187,1.4831844044667113,1.8852871609265067,1.9104422568084722,1.829751366184099,1.6244709624409668,1.4638178165688782,1.2339895441027995,1.130476199942381,0.9597067348562044,1.0736668017345765,0.9063414487636403,0.9463156650030833,1.0616921723838997,1.0548980152665797,1.1271024686708095,1.0400964486036954,1.1946566966030618,1.293960148089903,1.4527999775117109,1.4744950969487753,1.5003054839446712,1.7878420024737778,2.200703531040731,2.61030792390051,3.339123631978025,4.323354802041971,3.4156044063298086,3.537062669205026,4.316889931369416,3.421947864923164,2.970630916036424,2.688546927996123,1.9580886080358948,2.048357064180655,2.064098916077184,1.9548318081880898,1.863970693663256,1.9048011338416921,2.070581511616433,1.5960160103006578,1.5582467480027526,1.4651245215849416,1.6168889794735801,1.5448112301372166,1.4811045759661858,1.6530455204031076,1.3576448112830934,1.4845609251849985,1.4993201973124637,1.7366131076950262,2.0590370356612735,1.6795761458447167,1.649873707083588,1.4604852275828961,1.6632893083031866,1.3979891690627633,1.3353279656429096,1.316360762028834,1.3822619504696747,1.287202354535508,1.293055853521554,1.3465728081116974,1.3854428499376001,1.4639445496068806,1.162520167164767,1.2942641743119385,1.2096004636398752,1.2444873692439389,1.195027129836588,1.2532769633754663,1.4921670586447702,1.280036655620264,1.0987818968264544,1.015901905684544,1.0760307102633115,1.0236045812545227,0.8628364444645795,0.7469819716604728,0.7058050064933139,0.7962034965628141,0.7886909354794222,0.8202322212062451,0.7644184269974782,0.9165589379053724,0.7824097962015585,0.7888291545297847,0.8065656328355403,0.7336601103253723,0.7585562523785611,0.6112247107582487,0.6654351935986516,0.6185733411725105,0.7131560578011861,0.8003059975663732,0.9251151651626563,1.0895020946668026,1.246797417478632,1.4922124817727231,1.1808039711313045,1.1415636997064464,0.9939752133658024,0.9732022593038959,0.7739707157405742,0.6467201747604366,0.6786656393407601,0.5871992388943498,0.6768571311424777,0.6816692125928768,0.812830578765755,0.8406744458163095,0.8807334175043958,0.9724439897078851,0.9204402319003195,0.9536440991846121,0.8742805354194113,0.9320876522958614,0.9306199505869276,0.9413454428457754,1.0527591282925777,1.3381339079449939,1.6147456836425311,1.3751467738936531,1.2034551980745076,1.3742593243092078,1.0801701014784248,0.9976740345364785,0.8694652723447239,0.7574840823613359,0.6648597270108687,0.5775047550287159,0.5514852939662708,0.6459653243805108,1.1936459567238358,0.9995183129210694,0.6249326982453475,0.659368572861628,0.6388171292473642,0.765682520326132,0.7611973326557205,0.8956472425562189,1.0054735134791335,1.0589259116944496,1.1389456546484216,1.187574557980397,1.4264323350557477,1.3037825810387556,1.574374968277154,1.4968096707182403,1.2330570743548661,1.1125723441385098,1.027033296982181,1.0414049981235636,1.0087060473761642,0.980186101940843,0.921363647070042,0.9492072793479839,0.9831813531952266,1.066277942113245,1.0255286756518271,1.1869022565944383,0.8808799164872557,1.0381258361427668,1.2880033119728462,1.9482406751201702,1.8489588636100494,1.8926243358658315,2.160407469048153,2.18223012696692,1.8876048782639754,1.8363189505163544,1.411544381530871,1.8959870176105287,1.596032147185376,1.6003924030973045,1.589690125866056,1.0900907477842363,1.0204365870362004,0.8898878568898559,0.8134865688880838,0.7416180551282044,0.6528880141661393,0.6429543401484206,0.6677628776338063,0.6665438537168352,0.6785097138283956,0.6968911909959249,0.7717072056130923,0.7816178552606672,0.8759646756246912,0.9758419429454552,1.0591334909640553,1.098423906793755,1.2969030172732106,1.336142019375476,1.2423598777036304,1.3038417113096197,1.1248494015270523,0.9672233370928195,1.0497002081992177,1.0283071405776147,1.4669992635389708,1.21497094954569,1.0209556331665017,1.006890120845806,0.8717067935771651,0.9218594037609333,0.9968402098148125,1.1330872931516414,0.9558153879339687,0.8992143777902103,1.0817109776342235,1.061097603600771,0.999544038662778,1.438373955290445,1.5580808435943185,1.1939632358570007,1.4263075172839497,0.9300832424129574,0.9930848774806845,0.9133638603002807,0.7945571706486989,0.8910300518566608,0.8401183693574809,0.9302027161671482,0.8200107943561221,0.7823829363416502,0.7850208717671584,0.7724260522099705,0.679971078046027,0.7450930890845673,0.8197849536758183,0.7702475814386875,0.8495860096992867,0.9388074911260247,1.1676213424718267,0.9976661499513424,0.9966550808002392,0.9431707082263681,0.8475275840352783,0.7468078240320115,0.775796863910315,0.8793311880303345,0.7935881875218948,0.7685583519230837,0.8538010615967213,0.8876155770585956,0.7869419519424771,0.9392976591088964,1.0530360069484852,0.9016889243177687,1.058911472182214,1.2287736556491875,1.3475971764050005,1.2035672982309447,1.0300027192262742,1.6451192913946349,1.489775895794386,1.2631192599817158,1.0857770840252254,0.909662677790755,0.9661680823893598,1.071511296106114,0.8328096268840199,0.8972059592046048,0.7693675659329214,0.801706718187439,0.6732378148282828,0.7258470166374547,0.6140767684601778,0.6195067947009782,0.6162945544350763,0.614199263918467,0.9640174601175641,0.7100133227927694,0.6680742740310041,0.7102774716617781,0.9111479231144763,0.6729881561883573,0.9463088008548075,0.9043283119077098,1.8027342438428877,2.053454895784425,2.8797034549747487],[0.7935153746689891,0.7311015328412296,0.7257991183405416,0.5803172266473929,0.6686360915151851,0.6860365608264778,0.6720231294106157,0.7206717919606394,0.7911759594891394,0.882370068864462,0.9437603976668816,0.931181962442119,1.02515276831702,1.0462230583429966,1.1742872499700017,1.1794755126466505,1.2548112165206264,1.3646447577147378,1.53844554464726,1.5719659856283872,1.7163048760302313,1.6957544412296461,2.047148120927398,2.111917207876625,2.0087292917779136,1.8397578643122536,1.6840500546137103,1.4493849466484403,1.346872042309584,1.1810178198795214,1.3221341286951558,1.1624184436984355,1.1947517811186117,1.3065195563364187,1.3038682775956751,1.3698171529873369,1.267250201291268,1.4107840964616463,1.5095087655875874,1.6418572630340789,1.6963201528271705,1.7338618040339084,1.9995703491883559,2.37801614699771,2.743930799155997,3.4917289040384496,4.364820580004221,3.4392674201632043,3.6925391743332425,4.31560688518406,3.4873302141491322,3.0280364211155013,2.8022256713903566,2.151866243612607,2.161528357081836,2.236730602803655,2.147790319296695,2.024780043864727,2.0610014823492726,2.2671352014106443,1.8134097110801157,1.7907480854382096,1.713201875559982,1.8631190290764308,1.7782339720131473,1.7087835362703345,1.8776171760621008,1.5960266258758566,1.718953559028953,1.7073100179073313,1.9130155152145238,2.20280505710716,1.8873760582370114,1.8515228484482877,1.6897498874568464,1.9032611638956227,1.6422364858019893,1.5933278781745843,1.5584413449224335,1.6242614975623022,1.4881423780748175,1.4804715629467438,1.537415732099054,1.4894469518680138,1.5922771340093589,1.3474263793509036,1.4968292826391665,1.426752724945387,1.4866045633759484,1.4352802433822838,1.5014633329252762,1.7457686927102147,1.5245861371650269,1.3357912202385158,1.2595019053628416,1.3119553615220476,1.246685598580713,1.095031231462665,0.9782028907886173,0.9474925048787066,1.0344293387651735,0.9561549243673819,1.0345161366325872,0.9200082698610091,1.0818397909916748,0.8895125862678905,0.8551219473827775,0.8348929742389773,0.758136674286451,0.8270277430287192,0.6888691678182771,0.8028584258532766,0.7967753531535174,0.889499505908086,1.0119041411649539,1.1263377772270604,1.2963100223396238,1.4510558021441513,1.721394644208725,1.4109760964199611,1.3710927793344168,1.2138029340947722,1.1780048805087513,0.9816262410805277,0.8372769411687131,0.8361959264477812,0.6900605751784861,0.7723375828915795,0.7416410570261932,0.8800652267138822,0.8440990916474959,0.8743160064187597,0.9982321599246022,0.971818487257974,1.0061221870516734,0.9461889668270138,0.952447619822045,1.0146923144095663,1.0587665026398232,1.2085023641060622,1.5458208103451936,1.8341275826378098,1.5935147340727054,1.3944121924279789,1.5433461009400526,1.2874946770209037,1.1897735451600158,1.0702360931313701,0.9537002133043879,0.8728422430205531,0.7690752954172806,0.7803633576936325,0.8627869410620782,1.4228132245610658,1.230727222972671,0.8625305921360892,0.8983462989939126,0.8496947386137872,0.9831224620425225,0.9357618123690695,1.06225922805953,1.2062599400154623,1.231693035187713,1.3215581592486922,1.326791685347582,1.5441197542680387,1.4012311603877285,1.6559550032465769,1.5394704020631562,1.3072535453836058,1.180549719078368,1.1383552937559207,1.1739908087357558,1.152354965170073,1.1532620349981664,1.0988373483962046,1.1548718229241248,1.176570607587638,1.2587815093608066,1.187768122366275,1.331171590693832,1.0053724826854944,1.13125087175198,1.3777625685684831,1.9175911268787311,1.9401176475472517,1.9347334936928984,2.1826054985396355,2.2583780660682935,1.9957710095804768,1.9634737448870971,1.4983023327958103,1.8642372880767306,1.5912547518725124,1.5940334436786545,1.554194330667492,1.0383886249913006,0.9445831079454988,0.8103986785961541,0.7702746698382261,0.6515665151848167,0.5870483649428623,0.5914692667652609,0.5731280782651169,0.5632884599562569,0.6013553258987904,0.5994623632055777,0.6554538387239036,0.7006987356635281,0.8092368849486102,0.8966372365373251,0.9826799909565687,1.0526622926967664,1.2197810432521468,1.263236702731668,1.1684784160528614,1.2225943558504324,1.027419157271256,0.8555618100099943,0.9348653861305236,0.8905640287590916,1.3560438998309163,1.0927421181056545,0.9061282560242611,0.9120990367525276,0.7573311513205147,0.8103855757608909,0.8931808510698691,1.0059250276949332,0.8456349567890598,0.7868200839838404,0.9642809173060907,0.9502464590728593,0.8777315137934312,1.345682516408894,1.4411936547468542,1.0950635883770397,1.3532125712647305,0.8154172269549829,0.9199322057583834,0.8282571395289894,0.7041656916408746,0.8205686630182744,0.7983439024523773,0.9220725068090978,0.7685576717885015,0.7137143235391846,0.7595777774432496,0.7661635071930196,0.6131202469376063,0.7002339122371436,0.8190877586185884,0.7293808119258767,0.7818147817098011,0.9040177628929569,1.1174095053500726,0.9205759109580979,0.8994246172674178,0.8363851736533798,0.7311357586834595,0.6403588664170314,0.6458099870697833,0.735978737997928,0.669100161634465,0.6361581484285702,0.7117863922317396,0.7509487944322252,0.6497708542738422,0.8041814257056182,0.9438774305984748,0.7675457959226903,0.9262321574711673,1.069348357101444,1.2482499655569188,1.0924348406193005,0.9359748857095217,1.583577755877536,1.476471341781512,1.2012630986796755,1.0058848910589793,0.8209197574780317,0.8806176411279302,0.9832643778033506,0.7342578160470882,0.8114509903499585,0.7014285736849644,0.7088201356452877,0.5841718204188121,0.6611344264513349,0.618328076764185,0.5817284772515839,0.6315242645345897,0.616971329774725,1.154788189298026,0.7683454049270084,0.6502701040306385,0.7665013724923783,1.0093163314568379,0.6952978454584291,0.8769691152126503,1.0050870942857328,1.964844857921672,2.282989360961203,3.0764081390303533],[0.6764262657326103,0.6528274496358212,0.6843378914644855,0.5409025894058417,0.6516846411100845,0.6058923836788208,0.5713063902903196,0.6106606535566571,0.654940766298128,0.7230321380878831,0.762139893135121,0.7644794671812749,0.8553960721422366,0.8663590785240428,0.974275350917528,0.9780193984637369,1.0544842750085925,1.1295356312137141,1.275205484805037,1.3183659856994665,1.4340627505163541,1.4116907299969765,1.7567569278905453,1.7976038661550173,1.732564517906216,1.562804649460929,1.435901843038771,1.2341486991594193,1.139871506387475,0.9920676984944704,1.0887674088627903,0.9600500250590686,0.9836343903817933,1.0711533055651268,1.074928231160177,1.1269773566161252,1.062771999931755,1.1860432234797307,1.2810019326188489,1.407153116259032,1.4441375046095608,1.465288043088023,1.7002813844982592,2.112533496205781,2.4862061664107133,3.3207132295490043,4.133318843856395,3.1596936934999986,3.5796139215597838,4.260808459848061,3.255650090746656,2.805027177036122,2.5217922207715717,1.9002100692919917,1.9163069291177495,1.9184587524054126,1.841132367169684,1.758407740814945,1.7975041475861742,1.9728387023394176,1.5030394509244247,1.4797109773293666,1.4150811761600044,1.5278478623716425,1.4556620286351836,1.4290284403968156,1.6082731860421535,1.3188721684308042,1.4489341654183248,1.4851270059220585,1.6910037773390363,1.9700226151047655,1.6373454624047152,1.5673295845644724,1.4255475892291647,1.597580260400191,1.3511010227360514,1.3037299685091936,1.2757984359250656,1.3339856028438177,1.2578172338229443,1.250456917742312,1.3817727617865008,1.3111934413295783,1.435050364137677,1.1446327085103172,1.262666428221698,1.1998232305095404,1.2210029597695282,1.1839277651519557,1.2291712771063488,1.4676023538165233,1.2620701162298085,1.107543781302701,1.0435444805075231,1.0893904401869632,1.0515629221823308,0.9067817633168734,0.8132025796360529,0.7936665936858973,0.8664560390130168,0.840892898211238,0.8741949391484878,0.813991328497136,0.9465034197277475,0.7964031374407234,0.8168244641473904,0.8095104269158777,0.7360340998219199,0.8007442878451024,0.6494996127241204,0.7216886238272529,0.6969308858824943,0.7764968146267706,0.86435140530617,0.9814454009460023,1.12188795052477,1.2669629130226405,1.4859600887018927,1.1825440177461115,1.153445182379664,1.0343673962324225,1.0263589784270108,0.8395679540401548,0.7129105432818508,0.7496656978134337,0.6205349415356203,0.7123347250323442,0.7009947817550058,0.8160623156519474,0.8031240571093935,0.8213121257144039,0.9145122388417867,0.8796043682059324,0.9242014209170241,0.8674690157672221,0.9202342490008811,0.9406735925376634,0.9700707040547941,1.0843843318056618,1.3847699297137341,1.59148842985528,1.3659368914776504,1.2115368095263974,1.3621224519169508,1.1044638073623056,1.0281227468473446,0.9128427851664331,0.8168613752349059,0.7409929804167602,0.6532416890627917,0.644520276829689,0.728605655938979,1.2837789983367192,1.0928815325387184,0.7137409478131772,0.7468742389755979,0.7146074465401899,0.8392908833290056,0.8142313571041898,0.9391424079533615,1.0378537921544282,1.0675284044303022,1.1371003308106606,1.1581810668032233,1.366815213098661,1.261339330856896,1.513188130646271,1.4583658871202771,1.2347927369305958,1.0857639098688978,1.0198124835418454,1.0294139645972447,1.0096027826099379,0.9927945418375012,0.9456642804302791,0.9837030057685845,1.0164419786794092,1.0803670066048505,1.014899952729065,1.1847935243253902,0.8812636518704928,1.005609448864167,1.235443788871308,1.9429989228144184,1.9046466850462278,1.9397533101493796,2.0905939155000253,2.2065144696772605,1.8492082362707225,1.862079422255452,1.4031491032693453,1.7852289832802661,1.5247979712107258,1.4955904625079077,1.4262015247053779,0.9717470192700204,0.9006837343135249,0.7965481946703566,0.7677173941355478,0.6541985759227202,0.5955627869047382,0.6019153353782666,0.5905860816291774,0.5752641012043473,0.6018798174579041,0.6012536544130306,0.6458942664283845,0.6807264728752987,0.7793611168577739,0.8688265667252801,0.9350705007733106,0.9921253068505349,1.1377679111795682,1.1945420034798453,1.1220254423498346,1.169545657976914,0.9892439927060984,0.8311808998360586,0.8896242573529693,0.8538231209554364,1.2838203504909953,1.0758421278963328,0.9241725064782594,0.9277924699845275,0.7737806313527273,0.8115567268062411,0.8852142133382445,0.9942492096181188,0.8430996035750933,0.766406987844417,0.9193063625523283,0.934903918765396,0.8473991012254157,1.3123009562688739,1.3955438692272824,1.0856529729756048,1.3455169477312117,0.8012181477278277,0.882528012950292,0.8007062508068435,0.697229332264519,0.8372925770016432,0.8167575370467506,0.9535511480910088,0.7841168963425987,0.7185593151249557,0.7752295583211446,0.7681444143591257,0.6278986704250448,0.7002607477061988,0.8159001401536428,0.7197833406496671,0.7637328420033015,0.869723953986936,1.0767111807063454,0.8657215941830895,0.8410546698681073,0.7940341945935395,0.7089167365857356,0.6500485798975784,0.6477686278124217,0.7055802522528862,0.6620490838909016,0.6425552806669714,0.7103489442378161,0.7471405116900891,0.6639186466093401,0.8034065250178288,0.9304026461530314,0.7710810698618196,0.930773651977375,1.0271735853466326,1.2360917697263396,1.0853854556459177,0.9621785590209,1.5734436875530335,1.5403775957459303,1.1734384480328828,0.9884477334193741,0.8155974664376898,0.8639560841947275,0.9694947981154255,0.7534512308904797,0.8508344775960449,0.7632941573021734,0.7494035736927387,0.6082239853419931,0.6660752220543201,0.605437130831241,0.5915189544205627,0.6196949014447283,0.6070149344741272,1.1220730527310783,0.7379989326866895,0.6307662825724588,0.7259503106525195,0.9599022621626006,0.6523505707041674,0.8600761716526321,0.9666859131414526,1.9972736126454935,2.3333635517143563,3.1122492213479673],[0.5110203341245471,0.5327250581852163,0.7065512522328937,0.4470735786426841,0.6204176612468336,0.5101980353982016,0.49247789010317355,0.5555864474152741,0.6114730219053258,0.6598953537475094,0.6823839930221108,0.6972047741405384,0.7848900430674551,0.778317758208565,0.889609702073915,0.9044150101985711,0.9718474414555051,1.0403035600358979,1.1668799426295289,1.22784057266903,1.32783514380499,1.3194017904414252,1.6862469836791787,1.6779301219702722,1.6585809791520039,1.449843780894168,1.3444342249130625,1.1600430746286554,1.0720130721726961,0.9372112940008608,0.9977100274851887,0.8929778100053737,0.9132905845715127,1.0017875623917691,1.010935061938995,1.0713008812581155,1.0142822629766213,1.1240333077575422,1.2258299998219528,1.3842934004738932,1.381162014514694,1.3672096900558361,1.6334319671174446,2.0449287267383722,2.4386950486517547,3.210609805307838,4.150441289923501,3.238596265195684,3.4632035693848957,4.294127695793724,3.2957055387807395,2.866378298803728,2.546644392508893,1.8577881212763645,1.970963443162441,1.8999759167797678,1.780179050640663,1.7438352987109984,1.7752179651411382,1.8834021904305644,1.4152604252027399,1.3731588432197783,1.3019355741318495,1.4078152256866017,1.3454629250882928,1.3232701943289955,1.4611673717803764,1.2140061153028503,1.2996164564452444,1.36403952511932,1.5848438152301063,1.887057117875266,1.5103674964160947,1.4499781187126473,1.3054624530288752,1.4753775687859576,1.2506680120276394,1.1996824140055815,1.201870948910867,1.2732626838768377,1.2223644416161896,1.2478389490841302,1.3192000154848056,1.385362790724715,1.4493538353463762,1.140003409359039,1.2260809518504843,1.1761293331859413,1.1613408387592856,1.115159263767667,1.1495456177344139,1.3549674681752433,1.1633122967345395,1.0162288798118562,0.9528456738362261,0.997504068905968,0.9779223773096246,0.8458527820097356,0.7491870147187445,0.7350277028461868,0.8293835247679878,0.8267400235860473,0.8557647379432837,0.8152885524621931,0.9578451040425453,0.8428484590748804,0.8460533188851131,0.8545722323111367,0.7569796012516619,0.7826963571347848,0.6291641630224655,0.7250488794764809,0.6588817626043059,0.745938730738061,0.8015202520327092,0.9178457161039317,1.0406840079103234,1.16477879392036,1.3226844113713974,1.078147300603061,1.042698211250045,0.9385534026517565,0.9287673434404505,0.7587931119316719,0.6558054374849402,0.7161594278289786,0.6282419618767401,0.7148324616331003,0.7247060035943764,0.8597418564559036,0.8663086176387138,0.9073746125833085,1.0012580648714757,0.9580015617785012,0.9883973204754688,0.9149950252764435,0.9557117088718512,0.9690743192473955,0.9676315580971172,1.057808780435029,1.2696442269712767,1.4887401317524784,1.2640612420764235,1.1514831425397947,1.3214390910161389,1.045604755922423,0.9856022047852566,0.8784225821210316,0.7934065335356727,0.7107250354002532,0.6268027190342338,0.6051906081450826,0.7192437387952809,1.17055758607016,1.0110210176935306,0.6661826125259322,0.7064435178858113,0.6868203623809795,0.8019859659410613,0.8166809084147586,0.9241871737793889,1.0106530253029058,1.0554243901574678,1.116072187131075,1.1604839722622518,1.3911201358832845,1.2844748815106328,1.5331147775559206,1.4874847879461892,1.2376208582752586,1.1226860305155641,1.0435778091014494,1.0521570173182608,1.0264902000514735,0.9961273289223391,0.9500674107183218,0.9633949646549845,1.004519856215632,1.0664254449993034,1.0434839173322,1.1886049368089096,0.9173648439781246,1.0494692389644504,1.27162072545132,1.944431777924294,1.8279822837472892,1.8722187575664804,2.1130516297489805,2.151526307270187,1.8335842635712893,1.8239873323760165,1.4006604085718244,1.8562895250925084,1.5806686974786763,1.5962798969632976,1.5768818274845324,1.0770057134421802,0.9944411711693243,0.8377511154005336,0.7821153356378998,0.6597940857734381,0.5668917904862305,0.5524259630501779,0.5223065362344963,0.48212031502096125,0.49820889396408374,0.511021281715949,0.5459680926514994,0.5502916485500567,0.667842611546938,0.7734662525852499,0.8239215122645503,0.8640346640339135,1.047676815294648,1.1000147737706232,1.0356910076345127,1.0689679967432233,0.8929813858040099,0.7230147408585015,0.7769452127558948,0.7601740579231868,1.17482418915011,1.02837398220947,0.8741539935954529,0.8898396671809086,0.7382628201813249,0.7997043238716974,0.9081790013060749,0.9767597602288747,0.8477185259718507,0.8163934650994095,0.9604199644995324,0.9301182560892628,0.8872845103451036,1.3647314577781928,1.4151444892611218,1.0653520870671496,1.3542796940871649,0.827046964943116,0.9797582603329286,0.8744730556804169,0.748038387921894,0.8651682684680291,0.8018572599806066,0.9363572014560416,0.7892949178916034,0.7000703769244466,0.7077643816448784,0.683776838883936,0.5170242210762102,0.548013932878081,0.6382391456481795,0.5675959286897304,0.6089930609584732,0.7141769982308735,0.9642781543230966,0.7327558443556947,0.7080975874098815,0.6708702441990446,0.5779171041709561,0.5499608096772547,0.5852640845774364,0.5941591884374892,0.5494256833171955,0.5781599362588554,0.6252542772478887,0.6584484926726332,0.6099893108258027,0.785579158332204,0.8952189377940241,0.7113384926566277,0.9046747467664347,1.0182972222045314,1.1441911885998484,1.0025824399819987,0.8418415192622574,1.5276779370819262,1.4364805483971157,1.0531225236949426,0.8958703051233526,0.711088686777656,0.8074462294914777,0.9561485880791729,0.6551581382616304,0.6900783445584304,0.6292413549642673,0.6393991112967371,0.5477668027724097,0.6651178059769174,0.5917801008261189,0.5046550215156815,0.540846847621021,0.48927055728728236,0.88758076800697,0.6281456964090121,0.5345168283852505,0.6171935118606032,0.8786253037909492,0.5808987133552994,0.9163063811373398,0.8284283097814888,1.916400430450577,2.1982121312465965,3.0659753845110758],[0.5278044529889866,0.5755557150279188,0.7868921729012536,0.5484136767831126,0.7574891213839935,0.640657841567366,0.6804730416209981,0.7697316271084749,0.7880200474933934,0.8894858992697331,0.9143570884303407,0.9355304393753893,1.0631955277859426,1.019513563086455,1.1631276346499124,1.2070468860646553,1.2902231470048493,1.3799771704343058,1.518818205251741,1.600721204451164,1.7144230029577057,1.6961180867821501,2.0758109430813825,2.0508580936940906,2.0384322780409163,1.8374886743627439,1.7340263239114966,1.5174988788161077,1.4213199160652685,1.2777855170728611,1.3313164870756307,1.2280049402071576,1.2524575786608225,1.3646704998461785,1.3826883269233659,1.4406846716794477,1.3892054113415528,1.5170574100299306,1.6410801205036283,1.8000672546585255,1.7690774140499543,1.7693783214829848,2.0575303126755977,2.4210504518193257,2.7408386408843417,3.4452737462928766,4.399529793831435,3.566952145596707,3.70435473836411,4.384698248728287,3.6143579804928194,3.1810058033821873,2.96705175684784,2.2687220106604737,2.342289567088799,2.3544411932115503,2.2159374911709717,2.13617252540741,2.1553412375455743,2.293655770221894,1.8282131243809352,1.7800125752467364,1.7096047578378886,1.8080106286408544,1.7405028946123386,1.72048099257498,1.8268922585644876,1.5789111894579146,1.627955942506409,1.6348631796197284,1.8301329199129814,2.1475353571355984,1.7733989961628986,1.774293785541681,1.634731865138655,1.836012612312508,1.6365737868191674,1.5903678633260911,1.6023458513588698,1.6890964806182844,1.6360847775288503,1.657070696260608,1.6862645420210445,1.7093802850998945,1.7631552449859358,1.5344348283105704,1.6383395618341594,1.5685917281096298,1.5598952116558318,1.4999891658779865,1.5200923559261783,1.6913715429359848,1.4959137500125996,1.3428852399753,1.2598418767380402,1.2822421098263241,1.2352277912160314,1.138683135682974,1.0329099747673407,0.9865938726915864,1.143601592008307,1.0880126523165263,1.1947203029662523,1.1241002395899629,1.2974036273240084,1.1348597288608921,1.1015503528537005,1.0851186637532575,0.964353537713104,0.9980468528020924,0.8398545491675031,0.9853433007223655,0.9157747110304112,1.0172220910100718,1.0856344054007059,1.1991634084725815,1.3487237858904524,1.4852462075793453,1.670408616759305,1.4032573265484447,1.3234949832354008,1.1806607541549805,1.1537010780288552,0.9964798738225992,0.8744432634340618,0.9676733705737056,0.833224746497345,0.9486292003915627,0.9579327785095724,1.1148921398285907,1.0745953928601015,1.132582583197289,1.255214660496785,1.2488960899187989,1.2557444156878386,1.1692235967444053,1.1484442577897735,1.2013957341329535,1.21020683698489,1.3615754055077207,1.607938772673463,1.8833024542903842,1.6484018827775189,1.5118596954722534,1.690743987687608,1.406121791315179,1.3204107496046842,1.2025740050464258,1.104609589840264,0.9728247742803182,0.8841958585528028,0.8390184128718546,0.9051493283327079,1.2846552017220105,1.1834239463738039,0.9365255779995609,0.9921485155524817,0.9788268204661901,1.1180627525200322,1.1322622597908896,1.2449477871737078,1.376314987635434,1.4176444705794204,1.4882815011393566,1.5256233430984365,1.7195397041558647,1.613476493515563,1.832604100323091,1.7173398631979133,1.4981046869292387,1.404126690592687,1.3507746452176097,1.3967844846546804,1.3748206835143022,1.3592398059447641,1.309923497948706,1.3112732362901565,1.3515186363600031,1.4372302291541252,1.4147290684225942,1.551775173391006,1.2525181019375113,1.3650252997431858,1.5692484789658703,1.9295363814110609,1.988862691223507,1.9689741477845604,2.2805799830821427,2.270193362195259,2.128262063783042,2.1049332463691037,1.6716568973421877,1.9591832873468722,1.708195448175014,1.7654732701682585,1.7610466905759719,1.2354638802531936,1.142895458372497,0.9675870346704893,0.9322412522317982,0.79424680105204,0.7198639274157652,0.6988574900758207,0.6137574395272986,0.5661973546448383,0.5710587512671425,0.5598338696819543,0.572703399560339,0.5719419293539976,0.6752251740310081,0.7630250779198545,0.799142314729675,0.8393422951749769,1.0104780184910631,1.07273672656918,1.0213302971166278,1.0477505387640107,0.8875790143390687,0.711597134863009,0.753602325702215,0.7433880610830481,1.1403060338146902,1.0340688993315779,0.9208958301237392,0.9270426865955655,0.8187653786667681,0.8904090311327985,1.03327016987207,1.0397582945297879,0.9462164918576068,0.9667319273338486,1.0707839392374081,1.01562850085042,1.0089878615603571,1.4645337309287758,1.4696795200892148,1.1364887286145746,1.4270441658441753,0.9362084537957549,1.1464686730862972,1.0466772361779024,0.9082920839372152,1.022304836965263,0.9459803344082057,1.0983727154423026,0.9429150257443841,0.8177428491402344,0.8305284283205481,0.7996382445535491,0.6096696566430915,0.6051389412933306,0.6810209308691099,0.5960855462878328,0.6099248599022302,0.6979516528206681,0.9359058181042081,0.7033890453008036,0.6762959554432735,0.6460548315568244,0.5849674891322371,0.6205483414079412,0.6579049058583124,0.5987770640315777,0.5768092421087981,0.6557299976681856,0.6620492022172889,0.6824848931888441,0.6767347529592724,0.8541452611147301,0.9371418752866956,0.7527834877514442,0.9440322929151964,1.059123790591586,1.136506878933095,1.0059739326785475,0.8432280586908868,1.5496516064852408,1.4506824041067259,1.0508280727743202,0.8959669554394314,0.7220867880649385,0.8139043315386075,0.9824315097493569,0.6817187852924564,0.6804194188059188,0.6688665412451353,0.6626918722202497,0.6316505987959365,0.7983773826644648,0.7431210187462732,0.6260737373167227,0.6886514721664957,0.6089657948495278,1.0141250724678423,0.7476389592947608,0.6280166469688888,0.7249896917276399,0.9888482050736817,0.6691919290774933,0.965318683954214,0.9538879061229328,2.1089876567414376,2.479725448870289,3.381915436132989],[0.5781205324577676,0.6531239683749794,0.8864856378653952,0.6610696336723535,0.8931007187294095,0.7721330793086464,0.8209260727889086,0.9190930136108519,0.8993397000696239,1.003243521800146,1.0130630932106914,1.0485978846880166,1.1838753939577253,1.1092371336955036,1.2495004136010481,1.3102076960959532,1.39138558491576,1.4598749394035848,1.56871997365403,1.6701393770093353,1.7519146657734987,1.735826452568563,2.079881747182751,2.050126592240045,2.071455691120787,1.8864464896752338,1.8175587479137458,1.61734592170958,1.5243684760109306,1.3985303931866941,1.415990674876682,1.3468304097620056,1.3594216086693969,1.4577154242923478,1.4900872488533594,1.538264079281463,1.5158437074896758,1.627905915921511,1.7572959678453368,1.9111722619159515,1.8687539867102152,1.847474376273859,2.1256927085358943,2.4812679289283284,2.768976626315122,3.5165349566717365,4.401047715983556,3.5603064813496057,3.8097211512603413,4.4357792719032165,3.655053974314466,3.237439631863335,3.023601593400602,2.35673787938295,2.4058631549624683,2.4081223862093935,2.2714509803423972,2.2031000486808012,2.2125624890333997,2.3336381268158597,1.8725743579648253,1.820243788862161,1.7573835676486078,1.8192225527172687,1.765460669349925,1.7701083264332358,1.8499059151538013,1.629800840681855,1.6548001402048882,1.6680120947670882,1.8472434319308433,2.146790368227206,1.78596097305659,1.780773051077654,1.6734150355302198,1.861898040784752,1.6875832163975917,1.6506107187182115,1.677427375143479,1.7687280473597842,1.7395544949095803,1.7655093770618304,1.8233592285005182,1.8273759457436147,1.8820656449803086,1.66379018815071,1.7421236962606417,1.6839984420362824,1.6473951646369365,1.5871702385549655,1.5897315523416458,1.733912275019323,1.552157110785554,1.4181321633073094,1.3430375088414694,1.3477402157083256,1.3061759122762222,1.2403513629166294,1.1468725673137599,1.1100083139518957,1.2799711252258283,1.2411149710458005,1.354165581234343,1.2996498065191286,1.4678756155315147,1.3090581907386403,1.2849716729976282,1.2636484221454165,1.1361207871061885,1.1781261387764386,1.0149929517452008,1.1548482087837695,1.0765960443997356,1.175862383231553,1.2192578535243468,1.3262728787222593,1.4561173776276939,1.586151019413393,1.724186705162162,1.4774863573188308,1.3869985620671763,1.259256372327571,1.2441423859704053,1.1143305928052567,1.006678477855852,1.1305209688030684,0.9935323621505051,1.1148535067328924,1.140452105814004,1.2889262195420577,1.2363786690794967,1.2951860895866303,1.4106470578565196,1.4178011405411712,1.4189118462870025,1.3323254026032076,1.3020595099176528,1.3599588686734445,1.3695193324440569,1.5138230127400802,1.747533533856347,1.9848721950631922,1.7543750497461277,1.641010581550753,1.8061655126729392,1.5374660326149385,1.4595897908756026,1.3490688574501186,1.2674900690626483,1.1231455590299355,1.0496969313704096,0.9862965201046626,1.046259117147777,1.3531826269716827,1.269906970224259,1.0853062269115483,1.1380734004287043,1.1419875775079802,1.2708177313842524,1.3054819742901576,1.409102036376801,1.52575037151038,1.5692933458422291,1.6305873455608535,1.6639674651252498,1.844164177620731,1.7493621274201323,1.938464824383357,1.821060129342643,1.640927099448123,1.551177381903084,1.5063294394870692,1.5548079786458093,1.5362496149083744,1.5180126804956404,1.4737681531466855,1.4652456100044702,1.50567099925226,1.5867174640555262,1.572200048582488,1.7038483191161566,1.4247481679719638,1.5232527871641937,1.7042288757994122,1.99448687583549,2.0814445927116902,2.0421200015081578,2.330629676191438,2.349589838983071,2.2422722213858486,2.251684418100071,1.7854345701548888,2.002108657990516,1.7827355662143864,1.8487614325552673,1.8337359683349093,1.3522444380883019,1.2648033099945177,1.104966619390827,1.080943514357225,0.9510982678192229,0.8927798977158709,0.8681305514095584,0.773281027342546,0.7346357423801362,0.730793028201934,0.6868377676968755,0.6864433843493757,0.6893722985478036,0.7551682234734751,0.8080224843099699,0.825728742787544,0.8596846550283361,0.9972422405200939,1.0593879022474324,1.0202579164205798,1.0564213932441344,0.8898573564915532,0.7452089234566124,0.7708373834709166,0.7668191858244355,1.1016042831707054,1.065595502764949,1.0161039470837288,1.0220420226938014,0.9450360417899633,1.022115266699486,1.1495359965881056,1.106318986929814,1.054315003282899,1.1091083262347983,1.179271462367418,1.1086522438605202,1.117307230340445,1.5073617416400125,1.4988352795643496,1.203130008976516,1.4871472162491004,1.057274178222199,1.2818219717505996,1.1930712971774275,1.0736610476892843,1.1951476655536786,1.1176816033144945,1.2733801546930121,1.1131585601824638,0.9762485513833994,0.9991086661034998,0.952474702670114,0.7816392930049612,0.7582678067415105,0.8092953359667542,0.7181925620122902,0.7143314766495332,0.7697552051483928,0.9631646400228114,0.7530548578144047,0.7303555353699249,0.7115530429326812,0.6943200872649301,0.7693764813383609,0.7960468489660008,0.6879488720126095,0.6914742473076043,0.7968252159824398,0.7535737429855349,0.7603740978613068,0.7959288270292034,0.9366666792471479,0.9957509014017548,0.8355382806157831,1.012164086311849,1.0998574265956969,1.1608227612272297,1.0465509870386904,0.9003141352336883,1.549626756589998,1.4772381863877075,1.0370394561752398,0.9113298975931442,0.7819023722336453,0.8660120980680815,1.0245874698529907,0.7571534566245693,0.7186072285972706,0.7886076015644625,0.7652983116114115,0.7752127340676817,0.9536251449660665,0.9045682858003197,0.7845591752567336,0.855159122785524,0.7771879924750709,1.1483526384294869,0.881292646290366,0.7668592405597837,0.8597862882686816,1.1069133860449034,0.7835698466611078,1.0441954175963473,1.0940313779129225,2.280531708292747,2.7384494244894904,3.660554104109387],[0.5813349884476722,0.6501449874283879,0.9356704637723693,0.6176346891390314,0.8308160328129841,0.6994717632109136,0.6958274162947562,0.7800377351318342,0.7616348150215942,0.8138682008484961,0.817474310242056,0.8586528170342033,0.9678830927153024,0.8855657567363985,1.0074447521888779,1.0583376395264348,1.119939504646329,1.1643091532788588,1.2312856256307665,1.3410956653298998,1.4007356202351506,1.4083660634332447,1.734766144833778,1.698185632225328,1.7193143797583468,1.5072786733831631,1.469162805361655,1.300645207663169,1.2265789396933207,1.1315765101484312,1.129408847885146,1.0853354100970127,1.0935922949911183,1.1733526332695707,1.197972130184644,1.2398960634091007,1.2301708684147983,1.3050996910920305,1.421428049740362,1.584839221403055,1.528479404880462,1.4789562801771465,1.7421408799586926,2.117747954288077,2.4669587497763397,3.1961286247981935,4.149530735254535,3.296691218935809,3.49242135510537,4.324405905096178,3.382592593794012,2.981536875965023,2.695063682567215,2.015676647130653,2.140840339649234,2.0426691885409074,1.89795480767851,1.876372597504649,1.8987669299321333,1.9767416914947429,1.5113678956914893,1.4585564218163678,1.4023623937244785,1.4691203392398557,1.4040856154852446,1.4161985013367702,1.4982011465808738,1.2962868009212554,1.332788264247648,1.3973944446701254,1.6003883905488199,1.8988668253553878,1.5084764386322316,1.4866429753523132,1.3629997625110657,1.5299856838700958,1.3479772477446925,1.3089507212018126,1.3404509345787117,1.4273317401248786,1.4256361192391322,1.4652233882515167,1.5074096915434547,1.5961653902874067,1.6444636464507791,1.3775211898965543,1.4217639915953515,1.3896669767680283,1.3239798843199615,1.2769565256642201,1.2796273382167884,1.4349720307616929,1.2651178613625664,1.1411786149853214,1.082627382921644,1.1022673172843884,1.0890989136721634,1.0052564061495763,0.9403212201527531,0.9415363732424845,1.0606164400935032,1.0628111670722642,1.1345097091851835,1.114574119584004,1.2748473226014245,1.1644805193400332,1.1452372280551641,1.1338750048201942,1.0285509545917966,1.0340003028077267,0.8945184861512253,0.999598904086972,0.9145710725717793,0.9812731885807737,0.9915790556980725,1.0823657015226504,1.1709697009875244,1.2655056694517823,1.3510046746796307,1.172039737970123,1.1081734987525975,1.0179630764063405,1.0055995232172559,0.9022368043493395,0.8370423717215231,0.9443253362838172,0.8759613684363144,0.9748780664854673,1.0093471227925621,1.135585927203645,1.121103201155091,1.1721106711331128,1.2557590047382112,1.2440503301927976,1.247620685169259,1.1659747609089242,1.1802028776345954,1.183734121169941,1.1546806414988604,1.2561450805705558,1.3925689359233937,1.5970519295942645,1.3872992783687568,1.3237129657873086,1.5039030357886571,1.2426857360511283,1.194310817605189,1.1098706131876408,1.0552277342265,0.9485727508939936,0.8965994466887098,0.8375042473866213,0.9174993758128536,1.2317517308149397,1.1393747304783945,0.911482827258526,0.9528364984774861,0.9652073878071885,1.0498678876790581,1.1114116421753892,1.188654663026734,1.2586550493512596,1.297018310729106,1.3475963342035175,1.399630797400291,1.5988630348851631,1.5217389590336237,1.713939691440513,1.6572239095065828,1.4495076212831333,1.367086106856002,1.2971171104478858,1.3190132906307406,1.296639105375876,1.270596128510397,1.2389145881426353,1.2241850924912436,1.2594856583849352,1.3278453312032568,1.3288049004074205,1.4538778569634911,1.222776736324546,1.3210677269052624,1.5053926312473382,1.8999975969152378,1.8998023629557712,1.8903128361049761,2.180156785094785,2.1876068667240647,1.9889556276705969,2.0097300094013346,1.592557778169559,1.8957371000436445,1.65475151426754,1.7286725880497167,1.7510187089841678,1.2731697712868169,1.1992265084679492,1.0524483946439092,1.019570286230918,0.9073698029906015,0.8337820154089498,0.7997310756580576,0.7350498233390411,0.6986529166275046,0.6836306975164753,0.6852988463100796,0.6880136379487346,0.6764534477588448,0.7477676127134142,0.8166349602697099,0.82745288351743,0.8389114663077176,0.9895617476056693,1.054633933375894,1.0373329235905506,1.06061116939786,0.9251898846408241,0.7754670832333292,0.7974892216587012,0.7850465936872075,1.0945591230148835,1.0781185359973289,1.0257454443774723,1.028253667616619,0.92031024667076,0.9836971624813773,1.129370814246708,1.0964663049054904,1.0335745155657055,1.0700700883344876,1.1504861754938385,1.085312889298873,1.0826744182892991,1.4791934803927054,1.4700877256346763,1.1759341814449233,1.4415304399764215,1.0204614813308808,1.236466736923136,1.1394723814195566,1.0279980057812155,1.1165588976383543,1.0449412757978402,1.1818323103802997,1.039267363527056,0.9307420954782597,0.9204307859990386,0.8759182171565624,0.7280715883835366,0.698617464425625,0.7360467458404175,0.675404639202217,0.6817655556184583,0.7240300040085726,0.9258460142602154,0.7391511671467971,0.7263750193981433,0.7125062690061739,0.6917523798575304,0.758306989872751,0.7944538461189801,0.6975258211699499,0.6937791668762173,0.7857353149849724,0.766257902684328,0.7773107399063841,0.794293876831504,0.9366147714731169,1.0106099639908956,0.8455771979108955,0.998169894218547,1.0940555878561744,1.1465321694844515,1.0425573811273503,0.9038662686774753,1.5733418438603044,1.5147908032608461,1.0691918930156799,0.9567667082435204,0.8202597327089052,0.8997136667462429,1.1102364156174866,0.8113347758514736,0.7414999468108906,0.7800331541170425,0.740430486175851,0.7308037205780535,0.8883482576805292,0.8186214739054698,0.7239086221651597,0.7662703953047337,0.6957431989407703,0.9967674274279192,0.8018135938757387,0.7290652863960985,0.8031335943099439,1.047621847808444,0.7543954029155314,1.0747964469283926,1.0184556737682318,2.19452869072546,2.5883113153342596,3.550466286467021],[0.5913795436924867,0.6358591411065403,0.9197224054242896,0.5995432020678576,0.8104245303473133,0.6819176426611554,0.6868479138920721,0.7737352848434246,0.774750150031789,0.8405456993295478,0.8619423696602988,0.8947738240773981,1.0130734942146211,0.9385749879767264,1.0795166827667093,1.1247520342033428,1.199545929295125,1.2815313756361275,1.3821153026648827,1.4935300642516969,1.602178503679807,1.5967632209699434,1.9838532221102598,1.9319418496574867,1.9266932889076644,1.692872913589725,1.6171816804869137,1.4049372370941422,1.3244305026061167,1.2088192927431387,1.2401583494315145,1.1607411405222474,1.1785444528548767,1.2948792139126781,1.3105117681516207,1.3603827312036025,1.3239093784393092,1.4330768595016716,1.5559399278963493,1.7320598224880728,1.672747201280842,1.6486372624340644,1.960159197403701,2.310486377150078,2.644556066770635,3.2335810849997033,4.320957279062712,3.5743901471359356,3.4961388320488256,4.304159709747159,3.583399766178859,3.166253800657712,2.955412194232953,2.199528133201879,2.358914385210101,2.317398237493592,2.1453531114549533,2.0783057322861014,2.1060516097827637,2.2233710954631904,1.73345230331501,1.6738892085866626,1.6102387350191343,1.710931343643398,1.6229358424744718,1.6125730628963006,1.6984658874383334,1.4615833527659308,1.498135478719661,1.5289434874410612,1.7347079622252963,2.0555982436966937,1.6557259222488467,1.6815123774820795,1.527311435684502,1.732340860931194,1.5277917316497764,1.4866814333047669,1.5131114681661513,1.6122405601344667,1.574962490040867,1.6154659167451828,1.6069131615243843,1.710584388652344,1.7351409691350084,1.4930563429267993,1.570977544096233,1.5088479890166984,1.4744463835145465,1.423214997342637,1.43113079275214,1.588420483847116,1.4052792205901086,1.2604266348455102,1.1758565335520677,1.1882074465664865,1.1621081009058847,1.0637820005952117,0.9788698682393849,0.9663747393586003,1.1066933031147714,1.086957011834902,1.1856864582030204,1.1387676749137794,1.3214357610135603,1.182085225199167,1.151965080281215,1.1401675674218783,1.0288843034879922,1.0172537048341048,0.8804577796805746,0.9934078644254721,0.9069928360043003,0.9790417842524102,1.0221566509369904,1.1166688887159133,1.2337919003444062,1.3388825054945601,1.4967238781416732,1.2862588249774634,1.2013129510162965,1.0804282706208148,1.0467397639930718,0.9245800099282957,0.8400612173316004,0.9257362440057593,0.8552713456116806,0.961757159195284,0.9962897891343271,1.1500410300891457,1.1311851151826557,1.2008792055007476,1.309638146670323,1.2941708682905393,1.286299662283156,1.1822516963557135,1.1724674900099652,1.1606962861335846,1.1198856532431698,1.2778349525936394,1.4430687828075988,1.7387967016157313,1.5159089276579707,1.405052854051859,1.6052390584346112,1.324154460515811,1.2488050737490115,1.1501155418869544,1.0747162561274735,0.9576606810231671,0.8966582856079864,0.8407459527878166,0.9116206565699042,1.2293220381338488,1.1489060137142832,0.9269946555591864,0.9778263985244593,0.9809774391288378,1.0850132695026866,1.134859426157709,1.2228523845955446,1.3224396305002784,1.3632735184348048,1.4411748958382957,1.5174960432840847,1.6878292868769948,1.6254403477625854,1.85174388613273,1.7444790656349616,1.4839550346152957,1.4144975577536518,1.33916855337583,1.3911505103504413,1.3662945796498729,1.3442985110059946,1.299777072667164,1.2830777015353945,1.321077187472085,1.416983367120274,1.4245263844020952,1.5575888174787833,1.279855784560687,1.4121111487129567,1.6199543241675451,1.9084104355743996,1.9780951642055404,1.9464014184497735,2.328500443785908,2.223978759653309,2.1068464200876136,2.040367248262657,1.698432185367167,2.020828874256241,1.7430987721026545,1.8210615416410239,1.8697476619273257,1.3327391581424957,1.2469966247372828,1.0603079185334885,1.019011613786956,0.9082245925874523,0.8244310557402807,0.7821548385496492,0.7235202567876825,0.6867006404580954,0.672028222172894,0.6910331806083002,0.6942608262686817,0.6808956619281873,0.7649612574235566,0.8503674055689737,0.86913763414194,0.8817876490284959,1.060364097680505,1.1284113880232733,1.0961425499945692,1.0920885452753035,0.9902148736933425,0.8193942865725906,0.84524992069452,0.8275897364796184,1.1918376262546009,1.1102829664385432,1.0260215104443828,1.0543080261216986,0.9435258088769648,0.9876364823500099,1.166255058244408,1.1335396719656483,1.0506865832765295,1.100147617759286,1.2118070761683037,1.120772749167939,1.130540760029824,1.5739544156920975,1.5674150854655506,1.2278510592189917,1.472730462798822,1.0382444595265188,1.2676383237358537,1.1675494606104375,1.0289512689687725,1.108604933010765,1.0167112172517325,1.151282951145557,1.0230105018275184,0.9273999616586736,0.8884533082039736,0.8483999703439544,0.7042851343015613,0.6729521026926365,0.7050796026788396,0.6689189130491089,0.6872286060140655,0.729828457297986,0.9560514308912633,0.7643167110984069,0.751811391955496,0.7395273536751549,0.7038717398489718,0.7589862188687476,0.807786860162861,0.7132902165680626,0.7051442115241338,0.7906324601911311,0.7842875491774179,0.7922588190209641,0.8009377665735455,0.9534343270540407,1.0148510437755163,0.8473232177448936,1.013072261255947,1.1366590361941844,1.165490093251538,1.061915401061635,0.9215432481119551,1.6504465264022417,1.5263682410779935,1.156761115855197,1.0198492777615031,0.8485440090464755,0.9382838334804199,1.1556208012180103,0.8475851279238386,0.7825523009588405,0.7328073261752521,0.736992976771845,0.7201601888999397,0.8740496019785408,0.806415678272246,0.7113324987207262,0.7534444388829126,0.6829966189706337,0.9506605079204531,0.7934608746250521,0.7274535099174886,0.7883219141599895,1.0296888445514762,0.7461021809442552,1.081752493303962,0.9458103560843345,2.093556943462919,2.4260506247282767,3.416672540362234],[0.6137659830661103,0.6940896211840789,1.0152309367887822,0.6897048829829294,0.9424165634078229,0.8448805918201685,0.8709975092236003,0.9849408872510238,0.9430952530397534,1.0375085502889156,1.056342390576917,1.1203459295513087,1.2558390753517161,1.1441909814442641,1.3160083049447013,1.3852642367521601,1.4585307246680086,1.5472695792454672,1.6413877842483011,1.7794993737494986,1.8837096266338336,1.8703314326283176,2.243743417816511,2.181534114878996,2.2059563222602456,1.9801923787452937,1.923662257682602,1.6900622797953708,1.6138970631441825,1.4980773185914704,1.5125481456444976,1.4567869633629016,1.4685728000095113,1.5909111660937811,1.61897102981219,1.6601482555289766,1.6489845933268972,1.7623208295218722,1.9011858925732874,2.0740014681517915,2.005035526968689,1.9748027054889494,2.302566146631761,2.6197049456144197,2.8908165699603066,3.4447671955100434,4.502513167553146,3.803248282921137,3.7349985862321162,4.403945826324452,3.8328562811692497,3.4310417809972593,3.2821848103557305,2.533819629119395,2.6623299640090448,2.664019179429308,2.481176479185555,2.394559681450037,2.415375257443605,2.5285484839737222,2.037847812661077,1.9710314651461134,1.9139698933717166,1.9745984194440622,1.8991983073574685,1.9072135604024925,1.9676596323789053,1.7317706645506752,1.728869518149902,1.7327072576437006,1.9170361504789228,2.2133868187179324,1.8471175300685607,1.8974855976213476,1.7700952791251838,1.9863248231816772,1.813624105088433,1.7853718051419383,1.827215964838556,1.9355045064673357,1.9104994611339419,1.956762824973168,1.9590311546607801,2.0059481338484075,2.0279938544536624,1.8343018899370138,1.907954113691273,1.8368911780918276,1.792328686539114,1.730638520253819,1.714388352145163,1.831076634385087,1.6582774166278544,1.533657552794702,1.439833820803293,1.417716633607245,1.3960552521918284,1.3301372798437936,1.2257011492676027,1.1900368701769897,1.3907613991497874,1.3499014432569032,1.502041333554356,1.4407709529892447,1.6466794314609665,1.4676367463776645,1.4406577630121808,1.4042760732065738,1.282336599357726,1.2833815918518967,1.1197269542230839,1.2507850755632892,1.14569484242422,1.2320196484154022,1.2664360047848806,1.3584003699809755,1.4826756627135231,1.5813171032059021,1.7431930003019793,1.5303166848593164,1.3996446094300565,1.2604066440399753,1.2147891691461425,1.116955410258803,1.033299736863397,1.1740401731154182,1.0723365694611728,1.2059165101176865,1.2537496369536822,1.422528956583776,1.3716307470374387,1.4560366511757508,1.5785485395332208,1.5908911333383102,1.5688621506200056,1.4449741119513744,1.4050312417760114,1.4032831231217733,1.3486303327406233,1.549148947564919,1.720160887021769,2.055616180441505,1.8224990770474518,1.7074970033825099,1.9169111062348505,1.6319614396267959,1.5379610829237882,1.4382593326323145,1.3597904164134265,1.2035004462999022,1.1376339876647774,1.0659466841597676,1.133204651929761,1.356879627550883,1.296752749258719,1.1792866969408895,1.232135949010957,1.2517397501292664,1.3741180311556376,1.433132066018753,1.524497987027796,1.6462641392129622,1.6886150257667947,1.773940967011451,1.850146727980872,1.9950728718722337,1.9333313481113934,2.1317335204341994,1.9765563331314482,1.7550069445044774,1.6936214046592246,1.6315469429807052,1.7158038378768758,1.694451058941197,1.674470369570626,1.6282643516293653,1.5968840095174406,1.6457233611484567,1.7519669002805467,1.764389124257635,1.88780773576514,1.599232295377459,1.7270164231863385,1.9194017528051404,2.0333866662475963,2.211621641565638,2.1310315661556745,2.5060568852370024,2.4068500654431406,2.382933192827387,2.3134068927891582,1.9604323168850686,2.1483567644301247,1.9023244686065592,1.9964507127793643,2.0358481873256205,1.5279362040041387,1.4436823624388821,1.258865596731905,1.2327128252508968,1.1147620731556875,1.0461058331941102,0.9908683559869146,0.8965780739642348,0.8586694361924294,0.8206025534991097,0.7882227887091622,0.7844826736085889,0.7786683456945301,0.8062294421031941,0.8547486847301349,0.8603227545983514,0.8676839720964583,1.0074612172500192,1.0727495410858525,1.0639354236836658,1.066574840821856,0.9673374232477921,0.8349946704766696,0.8488899806071198,0.8595799176883341,1.1424645524339212,1.1519692600089888,1.1285254184496822,1.160700728365791,1.1042464704256794,1.179907966505639,1.363806866534627,1.2696197079850708,1.2182838417880484,1.3094637977599268,1.3832020894619939,1.268574947693829,1.3083360223017693,1.7043590298982336,1.65637840932942,1.3534445387168812,1.6077941339061668,1.2213351196844247,1.4841405015174052,1.3975347301499108,1.2604040533714458,1.3516966824611214,1.2677848944822172,1.3898782765992497,1.2577328810434314,1.1279093964182536,1.1164543832726195,1.0686931141700422,0.9014615591167844,0.8523411371980146,0.8618440547586894,0.7912768081459391,0.7906597225580877,0.804821718785849,0.9703469487243753,0.7957697548266763,0.7886926830861516,0.7853428482893013,0.8102724538377557,0.9169065697818947,0.9622640529291656,0.8107368527724731,0.8107327490815045,0.9465577803083851,0.8941772556867461,0.8763253738896428,0.9379674097476685,1.076322009595982,1.093175076999014,0.9443550410241817,1.1235202968042381,1.2134059154912198,1.197118512016137,1.1013481702122023,0.9582639475470047,1.6500667687704997,1.541214780610857,1.1271603636764624,0.9877645161098157,0.8668101959568151,0.9342617018434045,1.1350349702289937,0.8739891054183561,0.8030943093524142,0.8637118686603045,0.8682934890980902,0.8700933958458776,1.072240660286145,0.998129404779643,0.8733573209845851,0.9570848469556628,0.8740553847626761,1.1655824738790046,0.9684096420302629,0.8556997196333462,0.9363724519867931,1.1799856020398043,0.8553950033174852,1.1447771471964154,1.1274652791914714,2.3095695432516927,2.73515042518051,3.7377054399309837],[0.8667016361526152,0.9449320882098566,1.279338955998496,0.9232573771802137,1.143071699184565,1.0453684620394803,1.0341659970055381,1.138587807442595,1.043887789746074,1.0973833116401346,1.0919987383643988,1.166138665897617,1.2771635532547507,1.1343959984287277,1.2659309229323046,1.3508140403352527,1.4040171520990492,1.4401845740768033,1.4627789891563543,1.6226586099535072,1.6613653101500883,1.6591910046045182,1.9884516829578647,1.9105135253362824,1.9899025112156212,1.7585754335985262,1.7852715020240886,1.5942605173489897,1.534664839393406,1.4698846878777203,1.4259034941893247,1.4295108114260948,1.4248577807194789,1.5018590537374523,1.5516915613272944,1.572143962327603,1.6122446417000125,1.6834668082345283,1.826133921519553,2.005653360275518,1.9027873167033886,1.8085327848181454,2.121488398423366,2.44587232062753,2.717731481374089,3.333440757269406,4.368956385281319,3.6418342215380997,3.678305316667953,4.440549961528721,3.720377972448084,3.338208452005731,3.140918795751552,2.410278369995601,2.544289640660932,2.4775836862713274,2.2835417828552185,2.2514880519467138,2.2601271619049195,2.3048758407193968,1.8140051105957813,1.740111614589584,1.6973772866847554,1.7149147249943784,1.6462171967486323,1.6999938574867488,1.7258799062052574,1.5488674898529982,1.5326922463378339,1.5751493683073026,1.7537635289819136,2.034064405320854,1.6575399636227666,1.6817082888256605,1.5855102420970788,1.7707534810014103,1.625922615779317,1.610919639870453,1.6743500251961063,1.7843004224237495,1.825520550155013,1.8863293307665436,1.933262984702736,2.004111127963539,2.021436546872575,1.806914167091039,1.821155269547065,1.778310990623259,1.6715062652971175,1.6180408622812517,1.580866325348866,1.676694316626517,1.5381648660138871,1.4413643255954471,1.368417746767808,1.3350285474142853,1.3417642374448515,1.3149967722550624,1.253708766177813,1.2686220614382526,1.4337882512464009,1.4459081563197551,1.5651741427231929,1.5609001893329364,1.7694852553898923,1.6233183516462495,1.6172145214409983,1.5830096269771337,1.4971039354862696,1.4844608355546196,1.3258362399565784,1.4062449584512724,1.2828584044843885,1.335492683188066,1.3022228418419244,1.3724459574355465,1.424509532359261,1.4860736089949114,1.544055435654635,1.4097283981729496,1.3023792409848833,1.2141763352390464,1.182144239772361,1.140577197973856,1.1232444775399988,1.2951303286148659,1.2647968120250763,1.394863408152742,1.4661593161758495,1.5962911740612447,1.5689729158449106,1.6453189197548068,1.7350573231193769,1.7418214818874689,1.7249520288048672,1.598710232203222,1.6005570340530495,1.542159233379017,1.4338360023251333,1.6068312443765933,1.6912283486498174,1.9450243465584234,1.7082711348240345,1.6733331651418901,1.8741833302592983,1.6023407088668564,1.5462314853900703,1.4737089823798628,1.4487211601967505,1.30603934541503,1.2886538939208299,1.2056136541345615,1.2779688541296916,1.4615135465230167,1.4034265653020823,1.2882008466410928,1.3193525718285157,1.3714384843920138,1.4395430129645177,1.5533502350847634,1.6138244431649527,1.669911149340533,1.7285023612242871,1.7843561710929419,1.8920800837554175,2.057532676061996,2.0281138409698887,2.2035246265202764,2.1039215265190485,1.9039076864130715,1.8368536854976805,1.7519537253305726,1.8093536396852272,1.7742424130919041,1.7317076647601461,1.697305927058139,1.6336259990098085,1.6834175701690608,1.7736706931074124,1.8217695952802575,1.9387290716937644,1.720214224472757,1.8305592703051083,1.9958813828397204,2.079259801185804,2.2081555080211457,2.1048795992832914,2.4721404882283537,2.3753685513215257,2.393421580335796,2.378688315080483,2.009774631804448,2.1871543063950933,1.9866595228035508,2.095593812221743,2.1387739211013237,1.6989955005529156,1.6398909798773749,1.4878421662929744,1.4615023845514277,1.3737959788560796,1.3175713264743696,1.2550894555082,1.1858379076451722,1.1623573302843837,1.110601738231235,1.0840569089264744,1.0834474060591515,1.0812131218725791,1.070023491971955,1.1036835315339815,1.104158930646804,1.0788577127950634,1.179656102924877,1.2466450268810496,1.253685731165748,1.2631241189565723,1.16542995266645,1.0878939728922825,1.091135074289612,1.1094121855835655,1.2708952402626958,1.361953732190281,1.4231507880673753,1.4236702759086879,1.3843459306749681,1.4338471768725543,1.5956768690399874,1.4957671248789717,1.466148980746347,1.55764112524339,1.6198599586475384,1.5054719360473463,1.5365751323555696,1.8524937666358432,1.7860124970390001,1.5552115020741204,1.7824583898792778,1.4637615248234457,1.7108054848712801,1.6361262424900809,1.5193495014194762,1.6028828975662326,1.5338010487914422,1.6222579803486912,1.5067170692834604,1.3880504667104723,1.3744346607625229,1.3166573818310565,1.1892155188847546,1.138328973655388,1.1115494635212875,1.0678176678125015,1.085992553596227,1.0571391175647453,1.153124021979207,1.0721670456735373,1.0788895827551725,1.079628938330377,1.1200677691436058,1.2235279208535532,1.2756736771510346,1.1193591670303016,1.1170542921871343,1.2504104419733844,1.1916290678635115,1.166955345868222,1.2291605140703064,1.3423066123485536,1.35335358033365,1.2322253275071862,1.3625680570878818,1.4220754187557914,1.384952716924857,1.3058843503824733,1.1862102508566517,1.7303693049170956,1.6607399544060728,1.2699048324644389,1.1725687035617385,1.1294738115366894,1.1739798562220392,1.3574645929287161,1.1354129215939834,1.0368165005228893,1.142801197307691,1.1379469170370533,1.1368753913404974,1.3165534284612646,1.2438406009822336,1.1487968292181212,1.211334025348134,1.1492445820189305,1.3592799083262084,1.207144323858007,1.1293588726889434,1.194340832471586,1.377828496833256,1.0976996243418382,1.3664747208138586,1.3805012643689307,2.5074444551547557,2.996083071103372,4.03677614872786],[0.6977334266502387,0.7550032748664313,1.1358560723674112,0.7158032369015016,0.9415150674780188,0.8267876310788602,0.805268236802978,0.898296723356495,0.8606337606509115,0.8988119514590664,0.9085024450999065,0.9600524428719401,1.0627091913822253,0.9584887820587716,1.0927294235471876,1.142933196392455,1.199022142817243,1.2600098233838586,1.3139645508326998,1.4384935862021526,1.5105153266273132,1.5233483950356208,1.883259035854586,1.8169682776232792,1.824254112086684,1.5719788536727575,1.5543559343283118,1.369334190735622,1.3219110094192612,1.243666753930269,1.2334031059480741,1.2022073474558586,1.209956897171305,1.3025849639050506,1.327393726439775,1.3571870410296085,1.3659164767402945,1.4339741918928943,1.5504033236939558,1.7358396616580358,1.6207473152928156,1.5786006216412722,1.8753043893259016,2.183616733213772,2.5175543145075543,3.0308867881380235,4.180595661068453,3.5098169138389568,3.297689305524835,4.252534341256626,3.5251166669537892,3.1523781951552756,2.9125530790270853,2.149432227903948,2.378720529299148,2.2554142506961763,2.053958391963474,2.0453751678554064,2.072515036822517,2.1008259757631706,1.6347763855985777,1.5676315623556554,1.5241414955884134,1.59883308471002,1.5126731485645406,1.5328149419764059,1.585015849764288,1.3957457070546218,1.4116139538892065,1.4526616482901504,1.6530172551731581,1.948071775987462,1.5516288591508454,1.5987836005006626,1.4516975413891864,1.6375854744452552,1.4618941423804221,1.431326979702988,1.4774970137791295,1.569407033489734,1.5934785905107214,1.6509455446073071,1.6458222275125847,1.7994244090244695,1.7897441561311869,1.5485796279323507,1.5751046405848463,1.5407448125246894,1.4539909775816249,1.4163793914141216,1.3984994850685295,1.5339446063723086,1.3817672102678873,1.2580746394167501,1.1813903217149841,1.1733435559370224,1.1878639907714308,1.1078809984547948,1.045127113469793,1.0494215538177567,1.185680250336181,1.1996885408414024,1.2954158637994444,1.2803826119200776,1.4628026100450846,1.352722142681573,1.336060044213918,1.3247170540194966,1.2314896280581282,1.1933029037663703,1.048800160406197,1.1297126304602068,1.0170674746682167,1.0576054793688796,1.063700807217428,1.130207598502945,1.2068171292190608,1.266587250088242,1.3758245462558358,1.229003978023918,1.1471112109791315,1.052663511475715,1.0135975489730318,0.9368043188946663,0.8961513068189738,1.0038921685830189,1.0025245281966262,1.0992383199753208,1.1704413155655338,1.3158527856428612,1.3208642984911503,1.399327470567996,1.483925674532578,1.4660426276654928,1.4431108085988393,1.3171557905170042,1.3327680456440285,1.237150868873127,1.1224394131334063,1.2866138122408062,1.346732277603562,1.612346746967752,1.4332255273577374,1.378908876693289,1.5938935846130753,1.3352931497693141,1.2768904514167507,1.207547159032108,1.1631416990044219,1.0505115812745587,1.0310523509425347,0.9579951748783404,1.045067366067265,1.2629853730231606,1.2133452005645107,1.0455155241390481,1.0779896034048657,1.1042011166915535,1.1733679560686512,1.2655826129440524,1.3180041098137458,1.3742551520513266,1.4097977417518806,1.4734531770714325,1.5830459324830013,1.7277137040399213,1.7275541718465262,1.9364894703701583,1.8597870949098667,1.5825808020855516,1.5429409282827828,1.4372642512903577,1.4940355329048398,1.4686425977990736,1.4339157353216077,1.4045799368686278,1.363424214240245,1.4087834467556937,1.4934935094957333,1.5392866945587111,1.6439414369172245,1.425430967100955,1.5427835103599483,1.731188958752863,1.9083827545011474,1.990824404668113,1.9421552835813758,2.3578468125120247,2.1993949559686636,2.114699954438023,2.0604697165024586,1.7750793662490096,2.0841596603226122,1.8380077656680085,1.9531948313338334,2.0402071095028167,1.522212168973232,1.4545776313406855,1.2842629179617449,1.2442131161460275,1.1644909006473554,1.0876597939435173,1.0206914392569384,0.9677265163713097,0.9428919180379683,0.8881019667533196,0.8940400580601402,0.899418765648266,0.8772342538733119,0.8949936665988171,0.9550327546463774,0.9581778698713149,0.9287933686214049,1.0622832832597513,1.125780576934334,1.1374632684334356,1.135715159829824,1.0892922141902892,0.961302430956133,0.9709594890594483,0.9857404949205466,1.2255455674978442,1.2469773127982053,1.2314595942445266,1.2450961026588834,1.1905797489555636,1.235108344128887,1.4242904655273805,1.3479260144258725,1.2919740723626816,1.361171777870524,1.4525522481338407,1.3437095498340272,1.363868417959696,1.7427698464662884,1.7071051888003252,1.4204620497615654,1.6192257154973297,1.27272606999149,1.5057077303326496,1.422347596686749,1.3020104762268097,1.3673759538985375,1.2982159935437332,1.3807494010818713,1.2761890322986682,1.190143120198306,1.1385217821713474,1.0747811301771437,0.9574476320951869,0.9061339966664212,0.8838273492251781,0.8604986000070579,0.8824782296633297,0.8678699814423413,1.0164486074457024,0.8912085505166333,0.8971654996071697,0.9071859231378072,0.9302603452053031,1.0142146940649868,1.0697989940417245,0.9434900691870152,0.9355674314078107,1.0545275324004517,1.0223806798304764,1.0057960589215929,1.0460004083046712,1.18408676806009,1.2115687528002688,1.0673490863079247,1.2113753258457736,1.3148090003017674,1.2911417563906866,1.2029084221585913,1.0757658999429607,1.7384063939223602,1.6294844551426908,1.264485869426483,1.1197922810918826,0.9936704958989668,1.0463866175513892,1.279428983482233,1.031301665652452,0.9522336387072087,0.9659015426464317,0.9526888371669445,0.9214673117813924,1.0926779276854963,0.9935644927865595,0.9056168435235479,0.947830865889894,0.8904425143283299,1.0437747765584413,0.9422443525773695,0.9211903755172602,0.9448090299173499,1.1379866352730252,0.8864781031751814,1.2329595777867628,1.1203443551364956,2.236522373003002,2.598223915632365,3.6624650717706206],[0.6152936770524094,0.6724695460132224,1.0397546373935382,0.6314451565366266,0.8802697298027171,0.7604685870388067,0.7596873322693318,0.8624635449123214,0.8339511827410191,0.900242917392629,0.9207041494990524,0.9703131642732298,1.0928424495334803,0.9909752442491757,1.149442296238007,1.2092393018892078,1.2723725879476113,1.3650027284393245,1.4522068896951439,1.588890153428726,1.6986609543499418,1.7148946002518826,2.0964351480667824,2.0427915103742027,2.0246273320114967,1.757940187031736,1.709446429094764,1.4834387464550955,1.4239810180270474,1.3237839229246153,1.3298983775169906,1.277974110428485,1.2906960764089472,1.4133157858393932,1.4359662793642833,1.4761238992788221,1.4646696688492005,1.5675019171548181,1.6903745752391797,1.8918207114860899,1.7871433049963708,1.7662053422722708,2.097264831671146,2.390968060970593,2.7150110136858587,3.12525025519068,4.333277353404471,3.7300153597620764,3.3622360476195894,4.256127809785084,3.696370018709594,3.332549575983104,3.146176310166769,2.338754067581661,2.5791904966923154,2.512787423400551,2.2989914437888364,2.249289648321766,2.285765659137843,2.3371386527197813,1.8510837037160366,1.781603196292617,1.715382266075772,1.818581039054968,1.7266611370884453,1.7180338719187551,1.7695678328286004,1.5448137010663523,1.55080291303627,1.5620863988246252,1.763400190132059,2.0742108281735554,1.6779341980826266,1.7493727742069882,1.5905825927596802,1.7940644609215266,1.6307032294157078,1.5968061858152098,1.6413578938390896,1.744696857486735,1.7438343880994975,1.8040661285830073,1.7563531652974178,1.9134317211691863,1.8975110801468829,1.6683377739783751,1.728149328763123,1.6656517566638152,1.6053073604582895,1.5539735331092397,1.5333473124787065,1.6623484699978432,1.4966493269886227,1.3527386616245036,1.2604138967248684,1.2457755407738642,1.2383651213011952,1.159926497844981,1.0762713380954922,1.0568864575204304,1.2272962362829476,1.219462493309791,1.3484226828803878,1.2962018057624982,1.4974589930133568,1.3527091482830258,1.3278291557270079,1.3169798399271175,1.2022592714411762,1.1678217146791212,1.0136491213958334,1.1206998465283433,1.0043533313115338,1.0662832164784317,1.0937374206876043,1.1713212375038833,1.2791170946292674,1.3551824829132453,1.5145484483823255,1.3321977365956477,1.2222848227264638,1.0987645792669158,1.0483996507474047,0.9521190626405643,0.8868875507995024,0.9957738788208778,0.9595916048900058,1.0759811315208287,1.1392822563983207,1.3182322065214505,1.3052177647245777,1.400267537268041,1.50876329551992,1.4998414728489133,1.467500040147052,1.33163003428875,1.314198059875197,1.238253810981706,1.1359058704611706,1.3317130789421185,1.4323939555823193,1.7593391643062313,1.5698939441279691,1.476675493004556,1.7077498118866337,1.4287217307543953,1.3456338478034504,1.2556780379527752,1.187823995764758,1.0498845906044576,1.015901535277878,0.9334872828100722,1.0229264341321571,1.2411224173808095,1.2001877140817125,1.0431712394902521,1.0882119556209493,1.1074188758354027,1.2091572265677182,1.2840238377233955,1.3589925317415428,1.4532536454943332,1.4870023089933462,1.576066893442498,1.6865030770015885,1.8050867891538314,1.7992077433960696,2.012542063498959,1.8880339733662326,1.5963939127594564,1.5694429288329634,1.4761942359037237,1.5597973937634937,1.537821415875506,1.5103090103410113,1.4687830248985776,1.4314608416096888,1.486253999399904,1.5873722105813683,1.6282882127156746,1.731542994238222,1.4716566648861937,1.6044345436025271,1.81152043238557,1.93363070282439,2.0643168073598686,2.0126435413850983,2.4803140545338294,2.285119202504735,2.222817551722302,2.1360176112673566,1.8769994344754208,2.176240987428435,1.906521423211778,2.0074067039836754,2.091452031136406,1.5350282782949947,1.451960817124306,1.2559594925032134,1.2083657115570452,1.12111035983352,1.0328433751459947,0.9601237577325414,0.9062195441052999,0.8784396962469999,0.810267084230437,0.8207888221788253,0.8352309414661465,0.8017010156216536,0.8289695336164412,0.9048544902853836,0.9158633945615422,0.8876328989473948,1.0537818476904295,1.1287448823558557,1.1262098715875002,1.127506502092917,1.0908526293088077,0.940727396883145,0.962331253237281,0.9827457504904609,1.294647067106201,1.2450629409888248,1.1925825996844153,1.2134337278420666,1.163474862391984,1.20696271963207,1.4187805724873879,1.3444854519348133,1.275334041720748,1.3428007430797355,1.4534007929760382,1.3422579233879919,1.3631151225612974,1.7877924454854925,1.767009664265627,1.4334296716793102,1.6282575971604702,1.248053950730312,1.4888103372429704,1.4063448352598305,1.2608327318396206,1.3288452738649867,1.2465473923860453,1.3351697479388827,1.2310800199084198,1.1303083135731158,1.0747327571262888,1.0130828866569672,0.8814645824500988,0.8250083332661166,0.8058654168607152,0.7779739220768845,0.8113638149897864,0.793413237436112,0.9609101151652457,0.8339925725689521,0.8462954838748925,0.8549324447023645,0.8670960564781081,0.9437425447119425,1.019551896395723,0.8957768357879957,0.8777146273676962,1.0062525364787118,0.9901958087636124,0.9743071319478604,1.0048055418308306,1.1677518742009654,1.196736677290246,1.0333781757378615,1.1911170005584801,1.326760887546849,1.2988728786781325,1.2002751003637644,1.0587979128226657,1.7695190215249754,1.603134919403842,1.286575455292333,1.1140787975103628,0.9507779924318406,0.9979565592509523,1.2350453459758677,0.9793794122643289,0.9214483985900352,0.8994009539711303,0.9042483929463453,0.8634341507375921,1.041610444127494,0.9377421206195019,0.8271503520132953,0.8860952997527821,0.8186428158518966,0.980621565801464,0.8759853731439294,0.8378098127162182,0.8662632736935465,1.089846287752353,0.8098042827688845,1.1656369498957495,1.0167799509841908,2.1072697343312985,2.4321866537068284,3.4807614172103],[0.5928052197217842,0.6209921787098488,0.9680978275356305,0.5547710816601225,0.7694152984650829,0.6613531376214041,0.6188071033630395,0.6955681709560124,0.6971212167879178,0.736691936204253,0.7529796449238485,0.7952766491411856,0.9019485969745956,0.822582925685871,0.957605233512647,0.9935499988000941,1.0557486407899612,1.1434412717202052,1.2336398583474584,1.340671765750085,1.4477482245442033,1.4632249049713397,1.8549291314396805,1.8075011202578914,1.7792769870345055,1.5100999468829146,1.449081371449167,1.2478840594037528,1.1868010720281137,1.0792419390278596,1.1016369526390797,1.029450003046159,1.0467430354134435,1.1538958942921647,1.1701457833535567,1.2174780665848994,1.1924633184271203,1.292804280363012,1.398700732595533,1.5929563424751125,1.5042197322080937,1.4850839256804114,1.7891122762370362,2.1081801890084444,2.4909402228706514,2.9709791018891627,4.159403915398554,3.496108360112256,3.171418499727084,4.188712295994645,3.4622802415743656,3.0845811487900994,2.8206084717266022,2.027900043359928,2.2946481717419482,2.1745037890493033,1.9697945954557523,1.9557907720889953,1.9901419307266164,2.026754877365026,1.5715239466732167,1.5030832554968252,1.4452622283010006,1.5601574980505983,1.4749730590441716,1.4579064561997133,1.5299426252562949,1.3078261272222576,1.3483630249907694,1.3798005095929924,1.597560032545864,1.9078783835400204,1.5023306194274368,1.5544498677384408,1.3751597319004276,1.5796704482098938,1.3761453989566697,1.3333676020503407,1.369290206772367,1.4657134735328123,1.4531524688930404,1.5100146166530344,1.4791258469592579,1.6828483228090876,1.648903075279623,1.3805736315138286,1.4354141200110313,1.3828316437501487,1.3287343463437113,1.288535032080975,1.2865759724187087,1.4473551058303211,1.27983636924741,1.130362023964314,1.0440501482959856,1.0460126349250953,1.0584174391655927,0.9480159753981778,0.86328022465337,0.850670218785226,0.9906367463554603,1.0060038603896573,1.0934486979770217,1.0622449563418404,1.2305888142401928,1.1217977655629856,1.1051854259973244,1.1055406500572176,1.0079425398754167,0.9697575227150759,0.829426450024131,0.9124863078824201,0.8150003697973983,0.8643026317347191,0.8965643443158823,0.9803382598015895,1.0798545508478263,1.1572602374455307,1.3036225925326723,1.119833110592667,1.0431345862174404,0.9413551137848216,0.906454661076448,0.7951602131317155,0.7343636683438988,0.8076723435947168,0.7975311802233402,0.8902800589660473,0.940618332204441,1.1033163572667246,1.1155449923071799,1.1998706469897942,1.2948660510335257,1.2626498148656398,1.2386391184972785,1.112465087766097,1.126725118299355,1.0457748995147158,0.9612005106481579,1.1142663167859614,1.2184502557752652,1.5098858809946725,1.3210204925221367,1.2334534168382987,1.449608755615375,1.1770344293304074,1.1097554913675571,1.0203712042431452,0.9600335496860238,0.8610752720524855,0.8174030526987976,0.7512439741582446,0.8728867833582532,1.1469097056951165,1.0420889558758253,0.8326987623183888,0.8679301833012546,0.894173737687734,0.971964759835963,1.0439410462300909,1.113649107715978,1.185089775585673,1.2223352964243428,1.3046626378526576,1.4044368253398458,1.5501633515328936,1.5263960082736927,1.746739345729805,1.6753852662298478,1.3650879933663467,1.3372730054887214,1.2355868059478428,1.2910379399933871,1.2686699179286642,1.237701309653064,1.1980333027435668,1.1721920377107944,1.2145080615238906,1.3073846061866745,1.3476774758240069,1.4582769137438163,1.2128312923715616,1.3624711644172096,1.582075911194933,1.935804402216353,1.905134931400524,1.8989489363746028,2.340593131971372,2.164880642406828,1.9820880259200668,1.8921481492768861,1.6704499534996142,2.0972051580637903,1.7910219659507138,1.8606590438153126,1.9419676614173729,1.371356288398319,1.2883556191497907,1.0982681815269533,1.0394494822839477,0.9589979709908162,0.8652921760602057,0.8004457916510469,0.7709815699545884,0.7483098057084123,0.6956618051912166,0.7291822021141883,0.7545832756895482,0.7153026909978042,0.7829285295189405,0.8779451027721328,0.8965025581006302,0.8837673611421115,1.0780089653234417,1.1451251622052807,1.1239021273083565,1.1218143327523489,1.083020858176552,0.9073704421085933,0.9427365237430728,0.9445943479786556,1.2985326835250393,1.205553281110311,1.0988714928887426,1.1292285948648804,1.0497384419209528,1.0678638158698255,1.2589637077740852,1.235732685025721,1.1501830542785825,1.1757290530737492,1.3147226226930753,1.2195213125978475,1.2218747680687438,1.687819436502594,1.6766636822573462,1.3163797130504555,1.5115375363216437,1.1014390603672861,1.3238523539577023,1.2273111119708946,1.0823155663064523,1.1470100761380984,1.0590236171891703,1.1569025537620377,1.0564829362243477,0.9783703875216926,0.9041153610010007,0.8512175141574513,0.7283908392450665,0.6872917468118384,0.6916937110872576,0.6836073738493831,0.7264471734832997,0.7280302085147755,0.9407539580138626,0.8001969301101078,0.8147719150808834,0.8119674482724603,0.7799094864727496,0.81896700077196,0.9027182026377167,0.8160312091061781,0.7899025206175557,0.8862515703983987,0.9013851802873227,0.9025539028268985,0.8955445763768873,1.0717743415269327,1.1285122413888573,0.9577562223108448,1.1013807181853468,1.2668631564086994,1.2502497580237824,1.1470089167430344,1.0099553776118966,1.747197188721072,1.5839923904744584,1.2776786055962053,1.1126985938482243,0.9150990490606106,0.9748224201423478,1.225263422069997,0.9369142966214434,0.8799719264955463,0.7929406370460508,0.8087517272843632,0.7499106446996361,0.889848244229357,0.7834576907816309,0.6917553841826863,0.7264770565928926,0.6752662425650539,0.8165787839194774,0.7378822668471184,0.7339845903599973,0.7532244178712088,0.9774107777668024,0.7258240781131998,1.1171739826062232,0.9107448012129202,1.9195125628690592,2.1819446720605074,3.2101879877964326],[0.5449567544442504,0.5568111926106408,0.8395369302671913,0.4915820603465958,0.6975945508586429,0.578236132105795,0.5381380792389001,0.6132662519847796,0.6374339511846384,0.694662485731957,0.7201145376136119,0.7392764477008283,0.8610411471714614,0.8110931064905477,0.9509551958581419,0.9778129963115649,1.050806094200417,1.1578828810826411,1.280215306582178,1.3770355544401718,1.512794874845819,1.5175532410192045,1.92616340396057,1.8918123261376756,1.8489207233133649,1.588420250361444,1.4880672080152089,1.2647544205909822,1.1841779838968844,1.051312214533148,1.1051998634169973,0.9970217374806476,1.0176358988649694,1.146413763623255,1.1541045862299575,1.2167381071041576,1.1616819817182762,1.288464294346635,1.3978419531404778,1.5852448274280257,1.5272196896564019,1.5301103257619977,1.839410544846835,2.179833597701692,2.569395708217349,3.077469127070628,4.244082528110569,3.5396950042568527,3.2745113629008964,4.2152976858347895,3.4947655051333997,3.0954738654311544,2.842308893099646,2.052390648593131,2.276052484815267,2.211393739176483,2.025671636950787,1.9738008278305363,2.0128539960354828,2.1057949560935283,1.6309187458279286,1.5739973075409714,1.5006794757010544,1.6354799872226806,1.5459735012022948,1.5112149758599918,1.6122094834084615,1.355550397258625,1.409417059662884,1.4479741403352957,1.6663420056460954,1.9881442257621644,1.583126489205131,1.6103328493058355,1.431850782877098,1.6484163134080527,1.416130714421251,1.3640143338870658,1.389267840848999,1.483327138324972,1.4375859500227008,1.484218107916425,1.4528157353465518,1.6282762500449253,1.6177528022401744,1.345537752071253,1.4304082902616282,1.3588147602832699,1.3391524521552722,1.288169533236257,1.3019514993283303,1.485123978686749,1.2921531619390356,1.1289154272039572,1.0406331137732627,1.0580774701397029,1.0498733471228032,0.9124356363549792,0.8081285514079589,0.7793489358736085,0.9257061624411185,0.9220134170431544,1.0123814200299963,0.9689901355432345,1.143184182099646,1.0129566661584477,1.000303431675947,1.0057760655947983,0.9095608972722657,0.880480057209547,0.7398746756855564,0.8316334378113055,0.735916578374329,0.8084016739502651,0.8594236268265341,0.9653060432827182,1.0918333557134106,1.2036808662641612,1.3953065125741344,1.1608669078511673,1.090583427750113,0.953354979471445,0.919835848196651,0.776308331281961,0.6938739091705262,0.7591543554927475,0.7046286212151693,0.8110825973580079,0.8501043614538722,1.0133074680234455,1.0354047966295625,1.115125099628119,1.2154358822981723,1.1730471819140922,1.16055816128063,1.0379766692286474,1.053506404654,1.0103993190822493,0.9578506114332914,1.1063154698812574,1.2691362195430693,1.5738374487775961,1.3672942072888343,1.244587098315251,1.4586965264839142,1.1645178392121953,1.088008063473288,0.9762351573939975,0.8947905195650325,0.7890164043195299,0.7260944937729191,0.6636421433245759,0.7822630089879321,1.127676604639449,0.9959897187459331,0.7459787871080555,0.7894400027256386,0.8000259685496702,0.906826091730522,0.9625452727072544,1.0557062854807908,1.1435889691220882,1.188992797311673,1.2751656213416662,1.3658218509672866,1.532727218340209,1.4845557622111354,1.7231666634004235,1.6385785509300852,1.3330393235987925,1.2828743731225085,1.1888709329254095,1.2352346052510392,1.2077462106819927,1.1775365410563219,1.1273867771753248,1.1170395308571013,1.1552369732143184,1.2575295387031387,1.2733279280801784,1.4021083260146463,1.127287933819588,1.2946126178890842,1.526735062290957,1.9443441499025393,1.8934689569632148,1.8945695416917083,2.321466043424411,2.1752308805312546,1.9732816604867176,1.874854269805738,1.630707135246675,2.0763027414310447,1.759593840333042,1.8152730758522653,1.885161849795599,1.3169295685139304,1.2303528823896352,1.0284790082811397,0.9532365870701547,0.8652438461050533,0.7617402925200848,0.7063172739362009,0.6911418449199899,0.6607591159235294,0.6108323690466738,0.6490244988379212,0.695934030847432,0.6474336943901033,0.732438804689822,0.8470252618890947,0.8885576849473785,0.8852878922593883,1.1073311379970876,1.17253913785218,1.1199616011184832,1.123957413228003,1.048360409839295,0.8689676465143219,0.9178989588319602,0.9264097110104571,1.3666173960907033,1.180313911133428,1.0351534466225003,1.0627363282123425,0.9736190612975367,1.0035189861915796,1.1759885539909616,1.1782675434683085,1.0750747898780002,1.0944388308983783,1.2625186055098,1.1710434935652887,1.1673222066887443,1.6470357040786592,1.6682410630417701,1.2856467160808531,1.499339612989544,1.039206807566527,1.2324720219163279,1.1352543219899667,0.9817175310201232,1.0445485999025839,0.9378427606483604,1.0483292497319132,0.955997334394463,0.8907607316945734,0.8039479992777222,0.7606197904588158,0.6346960376204527,0.6086991616184496,0.6387531812506959,0.6106617832494085,0.6698386475610726,0.7046211354895303,0.9711086888783624,0.7834246615606769,0.7926846968654097,0.7806721456860248,0.7271332568752186,0.7300684754190387,0.8119285465173363,0.7668194110322728,0.719667577825547,0.8070255393224862,0.8406399789589404,0.8428738219343932,0.8193542934233818,1.0145557914988823,1.0806606536523524,0.8953104005378935,1.0661134494677909,1.245505480202331,1.2508231962949397,1.132188176254781,0.9737147199095942,1.7020542518732378,1.4832248649119109,1.223854660602908,1.0468549260745086,0.8453910941497199,0.9135303324281349,1.1202922900975145,0.8329254929755869,0.8175386132652446,0.7065296077423734,0.7518114016790441,0.6766901260255347,0.8158698523610364,0.7027480703785565,0.610709795565529,0.6437743234320847,0.5860365308674691,0.7910757597028555,0.6819348366567001,0.6465965097645446,0.6845703051997203,0.9314980790932115,0.6538131361219135,1.0242119505571707,0.8064112278613853,1.7578060736749905,1.9823270684738197,2.9920673570148604],[0.5401344595864377,0.5306970540223187,0.7387675640467193,0.4494965819624782,0.6250535955876937,0.4940575442333168,0.4547278766568895,0.5142739732427568,0.5660905820377525,0.6073157946583113,0.6294657441279704,0.6437304797595356,0.7426437631100131,0.7335408484915301,0.8555484866717645,0.8602964679288365,0.9362954580688795,1.0320976443977379,1.1662934642349716,1.2378567180050772,1.368878671129761,1.3748517414177106,1.7747359292570735,1.747241903926701,1.7034236506616793,1.4606597467674236,1.3432957426350367,1.1452513222939285,1.0523808364820473,0.909760501933852,0.9754974826222745,0.8590951661050495,0.8806189371435216,0.9911321822686764,0.9972599669340431,1.062598794294918,0.9989618654407135,1.1276390788782664,1.2328117130785001,1.4163836037041415,1.392932144698224,1.3856385112254732,1.6782537230256858,2.0606186079523843,2.4779360676365156,3.1080130256756524,4.190811462044613,3.3786585288038538,3.310622736784298,4.239737647353922,3.3668906858140857,2.9458678025573217,2.6429571710049404,1.876332549401887,2.0705282906218785,1.9988710840987491,1.8474722649867643,1.8033419828377069,1.8426956348577659,1.9406353563914756,1.4693065136904593,1.4147526336526848,1.3413877512303574,1.4797417879443628,1.3918848567276867,1.3559061294897237,1.4838951315967108,1.2244787727051245,1.3128386694648124,1.3668095793607005,1.5885253643987458,1.8996363833665593,1.509182993653972,1.4957237139674286,1.3164109837370677,1.5156588295253655,1.2635690965919768,1.205665440866188,1.2154944195680075,1.304396790818137,1.2474756561601132,1.290791250553663,1.3033735728787204,1.4590251364347946,1.4799818743595723,1.1620270524884166,1.2500954275103566,1.185818083602372,1.1720797106552099,1.1210151685137197,1.154677804166249,1.3576314004075978,1.1568474131842739,1.0020759877853131,0.9237065984661613,0.9629921096538968,0.9499500176464839,0.8021016664527968,0.7015976235769766,0.6796050251798389,0.7855300192744732,0.7935134488870088,0.8498416014630282,0.8103644430990288,0.9537384436693664,0.8568908470855987,0.8686379983429453,0.8861588894556334,0.800096941035576,0.7753219255791377,0.6383346711086013,0.70589261067941,0.6154437093192379,0.6974616824771214,0.7540439058005358,0.8724785085277238,0.999458142217557,1.1278360762782174,1.309108848872327,1.0607528271773987,1.012895075120028,0.8824785752227009,0.862956660120268,0.7060269749114743,0.6094633870164002,0.65510947830939,0.6191995160267323,0.7035956812607513,0.7381425606644904,0.8796122365059452,0.9246606501287448,0.9899657705858341,1.0695137329061106,1.0112741813704302,1.0214662354375077,0.922250262543311,0.9620503419097044,0.932724560939712,0.90223393941791,1.0092506258924432,1.2016351857465022,1.4662609430656295,1.2592603093857146,1.1302597935827012,1.3174302087367888,1.0301739508992678,0.9639962298776713,0.8386621189771042,0.7546871434035464,0.6593007752071571,0.6014981109030545,0.5547217818823295,0.6965828182005275,1.1145943143120431,0.9382654963328148,0.6172671344907883,0.6564270919799753,0.6469646706903295,0.7612912455705743,0.8100859311688372,0.9096290579783008,0.9893915108044674,1.0467137587774373,1.124922600899585,1.1997245515287946,1.406644370519509,1.3323720195292232,1.5960557977096346,1.5381738272111016,1.2351995597601375,1.1495901211639077,1.052327438943016,1.0709750140852852,1.0393164651453421,1.002832079399385,0.9456588095902652,0.953771392152855,0.9844999102416436,1.0745575227728799,1.0766856672251734,1.2257963785598327,0.9439786065661748,1.1064168890316868,1.344422782408262,1.9788993436546554,1.8168834034276098,1.8614718045753162,2.207657728089865,2.129314043534285,1.8600239390862645,1.7801786008702174,1.4631727414134423,1.9874384897033768,1.6758487345971018,1.703068286308333,1.7326675606009614,1.204038124141789,1.128771155199013,0.9478881764739533,0.860642438768066,0.7707083993442855,0.6630263551253535,0.6286158158459026,0.629188871416024,0.5968938677626983,0.5728661339998897,0.6111017136189325,0.6664913365460017,0.6334261710951494,0.7333062488329734,0.8524251457112972,0.9096923856824752,0.9259310081486906,1.1425395920433636,1.1973217997239403,1.1192551137680367,1.1391950823219756,1.0175736421773225,0.8433448992305514,0.90263966309579,0.8988450275583078,1.3534173304788748,1.1472040073829368,0.9612234828949515,1.0052432122157071,0.8780956654667351,0.9236203254998554,1.062427797992539,1.104546918885689,0.9820798076395459,0.985406561760705,1.1596218228034116,1.0923857678268212,1.0631836753312562,1.5322384151514035,1.5966424530578445,1.2230113384363621,1.4525513587370111,0.962349168512334,1.110030348503348,1.0074826062502076,0.8651603155998691,0.9375630122072448,0.8499240517412932,0.9616198329773363,0.8555534219177153,0.7961939943808366,0.7330747006984034,0.7060482800771194,0.5785967805505167,0.5891246080379923,0.6565262581103449,0.6166881506142126,0.6784186457623534,0.7547009401454047,1.023880259733446,0.8171666965862981,0.816431160248272,0.7892143533502322,0.7029344643962171,0.6627161029009666,0.7294421671704112,0.7414423572698369,0.6816331039480568,0.7186588375741914,0.7762942455814226,0.7943606859903021,0.7389903744219823,0.9209433522878115,1.0198847119284606,0.8326670653158794,1.013756185643125,1.1823520773316814,1.2332967840425098,1.103552681734594,0.9334743043982556,1.6400814328167095,1.4335336143181463,1.1711736495204887,1.0011311845993938,0.8024457044911816,0.888081942200007,1.0489910216923408,0.7613466448466023,0.7924735896288851,0.6666288117852047,0.722242831687699,0.6386987370676838,0.7504699165341557,0.6344769277129948,0.5588141211136332,0.5778499158043204,0.5357148426146234,0.7825235233480479,0.6301704764176791,0.5861215490992056,0.6232895494383055,0.8651415761408275,0.6033270668246175,0.9671801038915336,0.7553279220121808,1.7089181874688701,1.909728942725472,2.86666807430261],[0.624630496924112,0.5869389143611611,0.6944671957442482,0.4602817116894336,0.6070911765636283,0.5316300667915471,0.4451108171325795,0.48875186704309176,0.5479344529505751,0.5805360351457843,0.6024931910816076,0.6136376154532976,0.6939096924869246,0.7041342872920806,0.8212827174258397,0.8131042705745173,0.8922558353031362,1.003702357753946,1.1608130527415592,1.2193197110301728,1.374262856539863,1.3707800988796481,1.80706648414484,1.78849668876535,1.7137703287344481,1.4602079543320317,1.3176560079796622,1.1055001244057183,1.0099532799167592,0.8540275248086528,0.9398873720968607,0.803348420474611,0.8270650624688769,0.9492515463533686,0.945739388576268,1.0199949877436403,0.9410993619519953,1.0834537014269907,1.1806858980278372,1.3635831030185792,1.350687435991035,1.3580237727126794,1.6591613129209608,2.0439023416478697,2.4762329208567007,3.0464983785865543,4.191928557753751,3.419120960316712,3.2135519876127816,4.188108020374281,3.358785250264411,2.932725584855321,2.628936122555956,1.839923465991498,2.0621826313236964,1.9988258309623468,1.8364108763329516,1.7855811618361903,1.827922512907175,1.9378570033104794,1.4717318484039976,1.4172722412427918,1.3352139885523806,1.4992728474132027,1.4080122310836751,1.3458963387899812,1.4969079264848233,1.215978790776169,1.3176565123986002,1.3719639599206666,1.600956947656606,1.924123957663413,1.5243902321943186,1.512133478497563,1.3107709246081471,1.5212711628163293,1.2520063285770866,1.1878894153382658,1.1877362821006345,1.2753735610611459,1.2043264527099287,1.2490177660385913,1.2323118105149287,1.4392158447401704,1.4337070160138978,1.1067707352339355,1.207156477698824,1.13676000862295,1.1368299522570717,1.08542660829971,1.125849175870721,1.343962926867407,1.1337357564828725,0.9625150558124048,0.8877085770894847,0.940079142123884,0.9268601143990935,0.7613720401802169,0.6579808351244614,0.6326358995097302,0.7108551265950545,0.7345289604243669,0.7833758548742845,0.7448448796695025,0.8912289411837028,0.797087849727114,0.8211639637926194,0.8632255065942848,0.7641153812006782,0.7107650691085782,0.6086658136092961,0.6392035968790738,0.5651156108127683,0.632046582577349,0.7001698832641261,0.818823526768693,0.9550915277875858,1.090583790810983,1.3047405475924474,1.0389635453043709,0.994659898869661,0.8619374026013933,0.8403384236760114,0.673207633549993,0.5780402518402643,0.5904040820313118,0.6106468661742844,0.6553174783668126,0.6974088337873451,0.8381889661451277,0.9010121755626367,0.9816972431363199,1.0477366103525356,0.9716905612939497,0.973919521621525,0.8655554257451649,0.8953230249881181,0.863377220628561,0.8229734219985341,0.94004241595706,1.1428571523846114,1.4334442054475522,1.2221682216875003,1.0769912414929337,1.2707091554035934,0.9698135708308724,0.9001942625938044,0.7713137949696436,0.6858477490388201,0.6123493482752371,0.5548903222998575,0.5192145181304334,0.677397408195301,1.1434503398161273,0.9244890435115952,0.5665125602571291,0.5970400499656633,0.5921358246804178,0.692148789532469,0.7339058919230687,0.8513996857038382,0.9181599670413482,0.9775756799479399,1.0640450436606168,1.1489802026994766,1.3467415058597423,1.2883152032135066,1.5677249099685175,1.5029496564724274,1.1727134184013372,1.091910564530881,0.9899450113705532,1.0101405544774222,0.9750282803302849,0.9336200289773666,0.8723753238484663,0.8855081138123604,0.9047648105759247,1.0022833941375524,1.0158934782048952,1.1704891396944863,0.889020188364108,1.0862365539213878,1.339593740970831,2.030355484448785,1.8023682219889547,1.8614497523800995,2.220744391003659,2.1298167700461064,1.813526600221277,1.6980378567751828,1.4640975476714395,2.0483558990067077,1.7137690913536896,1.7412630977013561,1.7749890183875145,1.2081700630688574,1.1445318747811613,0.9689742503939636,0.8628727202397505,0.8069257316322095,0.6914743619308004,0.6552428623334208,0.6957544758887996,0.6908140524463494,0.6494139744190354,0.6924630980893486,0.7832792671934662,0.7642644709582829,0.8543112617589527,0.9826220349064229,1.0614790918115544,1.0738414184125138,1.307832666627612,1.353417589554705,1.2632528105264562,1.294295119233263,1.1757726141201,1.0017896950666951,1.0829820660660114,1.069757031466961,1.560524804032239,1.3068426936988469,1.072398254875552,1.1270824864185358,0.9925723634037993,0.9882477325192246,1.1266921797563274,1.1992240870346629,1.047115204215594,1.0355557084904967,1.2478859830615898,1.1698221834220326,1.127660601870313,1.5991163973645692,1.698604890724366,1.2823611262482335,1.490909674784558,1.0042718932254897,1.1142471597758423,1.0374251200078266,0.8899236034245873,0.9635485097853995,0.8817152789676616,0.9543143182291581,0.8738974339943606,0.8416132138087886,0.7636735323464823,0.7427558430283037,0.6605919259718234,0.7043382078666799,0.7677518464791483,0.7382912564973221,0.8229269455917225,0.9029899215599115,1.1467305281604332,0.9801041003028281,0.9923438743998144,0.9548739539699989,0.8631941821193482,0.7771190188193952,0.8502220790526153,0.904514557894675,0.8145073061968133,0.8255890272473929,0.911190928418495,0.9342492708457374,0.8434432321717488,1.015822423733631,1.117795713795067,0.9371355755619385,1.1049314257426353,1.3109419236673923,1.3264582143003647,1.1932196067153913,1.0236418634725457,1.71687513641799,1.4689065446541727,1.3072775079363654,1.1290467153590575,0.9256759992554248,0.9908366505804223,1.1335210902891273,0.8471475071094482,0.8835939574570364,0.7305061279176671,0.7882199294721749,0.6805005345850602,0.7600808806884259,0.6320979746288283,0.604880200681518,0.6050323552453833,0.5965364644030664,0.7699923478726474,0.6396965939075924,0.647619948490057,0.6435928563375323,0.8467418121182403,0.6083058815713059,0.9712897853959527,0.7824872600352891,1.5550934702984665,1.6928502701786707,2.7046942819191573],[0.5748550285809545,0.5634104084469138,0.8376559930125054,0.4746984815001167,0.6685287040389537,0.5541337571103868,0.4739226940417458,0.5218783693963692,0.548288494481296,0.5826018500055004,0.6052211285464297,0.6297208846494912,0.7335709348520343,0.6933104393679871,0.8273774662818945,0.8455460738460803,0.9105940812938172,1.017891647810662,1.1483233149865923,1.2342413616142731,1.3717249595658323,1.3906999983847157,1.8099998566611277,1.7812054453612725,1.7177791487843723,1.4392263655322894,1.3280770121261682,1.1193629869739397,1.0411324661273382,0.9050778670098539,0.9617653904339442,0.8515939282724829,0.8681815397781493,0.9973927662300051,0.9955038516173242,1.0655340373928293,1.0048683039603798,1.1327433777603877,1.227811191042786,1.4285357967849543,1.3695788283774177,1.3694550117239372,1.671727716736854,2.0230680477792258,2.446500209323892,2.925364687243264,4.126277779185482,3.443701566699432,3.0746352857312904,4.138518730312867,3.373724797978908,2.977205629814017,2.6799334455641737,1.878430382409843,2.176610538314859,2.0509448643779256,1.8535222482538796,1.8313535738858118,1.8741215361524537,1.9572335746334175,1.489135212945274,1.428761772499974,1.3523003817843207,1.4955489034487035,1.4168966386297677,1.3664270891382508,1.4707816113563312,1.218978585305036,1.2802065189746192,1.3389404514863898,1.5605568481430663,1.8823277503822489,1.4686931042649582,1.492580631549721,1.2936017753694953,1.5079784708165154,1.2733532043862776,1.2104419047557307,1.237430374398811,1.3283479306812132,1.2829976231710292,1.340038026271088,1.3147329469936189,1.5551343651149159,1.5021914814309256,1.1996793210631467,1.2704893469774339,1.2134706591382545,1.1832844484428964,1.1402557472453774,1.156661109915412,1.35096998020542,1.1613541091401471,0.9926152751161229,0.9031564033524496,0.9335131949238116,0.9300029288802965,0.7833428627374507,0.6918222374669433,0.6775264845761316,0.7999515477112917,0.824831788417646,0.9001815482491944,0.8674255867664777,1.0247281921418332,0.9439390211992627,0.9517763972404379,0.9838299064747683,0.8901201604068406,0.8336055494829246,0.7070506368265753,0.7576063750442312,0.6368754269795247,0.6995891893195811,0.7376674216806586,0.8399944049409306,0.9561515229345717,1.0647785885523204,1.2477685512325065,1.0208308949462206,0.9701128893690314,0.8410584840957668,0.8176052388472156,0.6680250916328314,0.5910917772205421,0.65246110286982,0.6686655965607766,0.7559191929640278,0.804458902809034,0.9700037390633329,1.0175376044870792,1.1113205938340984,1.189126906064366,1.12834489704496,1.1069160917760457,0.9745691910420086,0.9893513197546916,0.9213051405361452,0.8394081868480208,0.9782777451377155,1.1136821225410751,1.4110623234699928,1.2166337949374915,1.0986186906693263,1.3108575521321029,1.0217254712043453,0.9525537150603679,0.8406139258708415,0.773239860738746,0.6784788468426801,0.6538388279726908,0.5645653692292443,0.7455972383845695,1.0779115540953557,0.914763913053184,0.6394845528527289,0.6706404194796741,0.6998680408642489,0.7906182671001014,0.8606062716181065,0.9555220756353674,1.0022880201018467,1.048500518710994,1.1385480765400047,1.2423269987403645,1.3987858460347269,1.3819424569030028,1.629869729212059,1.5602422366494977,1.2297097192737854,1.1961577015146725,1.0799160776825751,1.1210744778288262,1.0949788901263897,1.056532286790915,1.0050205254191416,0.9903671670468209,1.0288155067552793,1.1238832851370841,1.1608580899202892,1.2891139452256741,1.03537377196988,1.2209644600419838,1.4468433929739295,2.0392770238805062,1.814391328803388,1.8670597266684652,2.2776955806878916,2.148466509562974,1.8348921608942959,1.7358218768256743,1.5732369588671566,2.129599226867099,1.8105649839975986,1.854574352228894,1.9070251034379362,1.3443298554892433,1.2622442488887091,1.060015335323678,0.954282107528338,0.8990791574092419,0.7885976033435532,0.7280085031034998,0.7408644104255646,0.7252973455448172,0.6607451006165238,0.7021811919334636,0.7700588063271424,0.722385877962707,0.7953686457314535,0.9215592772716801,0.9736390399150007,0.9574583349386053,1.1965904202907633,1.248556149274091,1.1888178406329084,1.201581995569021,1.1495055205090183,0.970356941852696,1.0257673897449888,1.0275713778694835,1.4988947279601017,1.2748033946181947,1.1101538015798216,1.159106596473176,1.061957917593311,1.0532611901696625,1.236608660056317,1.2549023839914961,1.1327841129930998,1.145444334096602,1.3456185742761593,1.239905492484068,1.2258717860130455,1.7043498757880107,1.7445538224077308,1.3381392792730538,1.5424859376604914,1.0868315721739705,1.2565212404277435,1.1683600302439705,1.00291177522034,1.069853984141234,0.953804823116666,1.0434474658964512,0.9749324777298561,0.9394960381586315,0.8288697743374511,0.7748514020180939,0.6861152652844573,0.6720379695355392,0.6844926702724707,0.671180882588758,0.7433818893005937,0.7827390956316967,1.0246328725729112,0.8771439336500971,0.896667576854514,0.8882303824060919,0.823579257937136,0.8022463612023917,0.8935281153875336,0.8677404240663659,0.8094826888543398,0.8806675220095149,0.928890279413658,0.9306361682717476,0.8842362418520175,1.0835103139268165,1.1504047253425393,0.9617828141439081,1.1252893044933372,1.3267266603199044,1.2909411198139338,1.186727814120369,1.0285026514912212,1.747880526721987,1.4973225154389451,1.3167656479598326,1.129547949175145,0.9212826488903976,0.9742673872269902,1.1829805181411255,0.8905843711326423,0.8820789932534187,0.7201441656301405,0.788405693859334,0.7073846724621823,0.8297923530622201,0.7064092638798533,0.6247736703471378,0.6523659347901459,0.6280078845474443,0.7353915536119617,0.6703341956251371,0.6839933292830701,0.6853361077274013,0.870192934894672,0.6505089929278056,1.063869949288728,0.7754422692177806,1.5545403399792923,1.7298228114449996,2.789820327697207],[0.5896176465383222,0.5803243720621026,0.8517553858034972,0.49244395704951044,0.6617104939645874,0.5673466178738746,0.46753081533799196,0.49993154334778167,0.5364690507131367,0.5182542564435832,0.5268101262027164,0.5716623814282591,0.6285746447329207,0.5882601926965944,0.6867370234618841,0.6973215278402429,0.7512009672041728,0.8187866673315983,0.921783267275292,0.9843854483005379,1.0846276176298364,1.1273156320669724,1.4980520813957354,1.4724909786489648,1.4269275157830137,1.1608035740429123,1.072213275848733,0.9146077634120162,0.8515205713307439,0.7374521207920777,0.7727529151915425,0.6915680208054701,0.7077965090355157,0.7849992126496279,0.7918559772580479,0.8484749671302027,0.8155071781752888,0.9112898477085026,0.9879621051640811,1.1882803722616975,1.152892685929117,1.1149239016390295,1.392177214910624,1.7822419073037268,2.2648018471197773,2.8879619252721156,3.9842373690327375,3.171009072882484,3.020175812165664,4.164193165722893,3.156068150738972,2.7550166700456336,2.369161640860442,1.5907461195973884,1.9014171943652574,1.706141602839298,1.5443472138868257,1.5791470647453874,1.6223380098319726,1.6352432623074953,1.1979087691055579,1.1405990880567158,1.0595032228012902,1.1936296250871123,1.1241086831064186,1.081615485975895,1.1944581558972682,0.9657918749081698,1.0541866790373418,1.1482907402083575,1.391646230740153,1.6883218425716005,1.2794959582707632,1.2504160180120245,1.0547584797047236,1.2461770884778611,0.9981927934965704,0.9372538428558248,0.9716761235627196,1.0630511521985693,1.0441900356707023,1.1067572134977097,1.1233323310285241,1.3839575616626925,1.3413276538929761,0.9881201192236921,1.0217338534229208,1.013422384933404,0.9331580935525933,0.9033682772068004,0.9202847811785179,1.120649305431283,0.9420897012078453,0.8018611250503416,0.7390175668247343,0.784645373000015,0.8155005464463213,0.6624304926437263,0.5963379438981281,0.6157545769513721,0.6793748032555617,0.7474533614458473,0.7625333345146992,0.7553093499030813,0.872532993964628,0.8302179211017386,0.866330495085251,0.8966330016954506,0.8122621247607409,0.769417657643078,0.650291968828441,0.6760280090254309,0.5758836528630299,0.6087286416672688,0.6297555168151637,0.7177962362795477,0.7968783826117606,0.8833416055056417,1.0210492550993124,0.825877602033907,0.8032555893802309,0.7203549224017147,0.7094039097729222,0.5789336146034992,0.5294953448559849,0.5731359929995701,0.6447727040081205,0.6873725957303121,0.7308118909684366,0.8683107081427207,0.923719910370068,0.9956666427985048,1.0511396903143901,0.9895032680074107,0.9804355834825546,0.8738129964812087,0.909877353986163,0.830144925383483,0.7385267125247411,0.832460482342783,0.9345296993192667,1.1862276815405268,0.9858269608943511,0.9083045309240816,1.0991368571548625,0.8372473470734755,0.7968591344489382,0.7006204277900668,0.6607140452189018,0.6039672318441899,0.5947680247345717,0.5343046126408599,0.712030420663795,1.0820577920266057,0.8935924667048206,0.580100480136938,0.5942600811546462,0.6203729066598377,0.675497949677644,0.7477364457182597,0.8202691548344779,0.8307702604030668,0.874681966290704,0.9457615414724636,1.0324111453305604,1.2238438080557303,1.1940139507051972,1.4520687602352484,1.4401038381743672,1.110041822351047,1.0502298503899126,0.9371298145244923,0.9473827088001356,0.9203794959679398,0.8798721140897289,0.8401040873983343,0.8398261188993443,0.8629490709524992,0.9348308811912024,0.9781682577468145,1.1009624160593399,0.8779172723733738,1.0430042174369845,1.2739872303803377,2.10718510596208,1.738957955483626,1.8389261506216994,2.152703048921604,2.0813239598533215,1.675609002409668,1.58800662864714,1.385874991584949,2.0291494094712883,1.7003334182491747,1.710971577869422,1.7439444106944082,1.2187754926169836,1.1461053255438296,0.9668818785509675,0.8794846068613159,0.8068925721353881,0.7106284764853481,0.6642483039319466,0.6676261246027783,0.6504273550354343,0.6154143830984703,0.6604792145122976,0.7157734772117007,0.6784289783013804,0.7749416468205104,0.8910602137438628,0.9302457317361165,0.928186039839594,1.1483664526169477,1.2006708877372672,1.1532421153846353,1.1529497261629493,1.0695405756752763,0.8902558296461522,0.9379454911864294,0.9172528522064599,1.340660877728699,1.1744042082058521,1.0190408757984477,1.0608511740188225,0.9336400898439905,0.941798004290195,1.0990225817421766,1.1229673824947817,1.012865748520708,1.0128644760167336,1.175700643411746,1.1032179908915416,1.084159072625724,1.5450091970001885,1.5905645360520702,1.2157078982800467,1.4502746056115945,0.973972212308222,1.1341087131988514,1.0436437566830616,0.9001348798084681,0.9771441614711203,0.877575960804995,0.9929801631578127,0.9025293148916422,0.8615522008105806,0.7718905998997379,0.7270056385886072,0.6281841562055492,0.6262517377917937,0.6624501157563515,0.6484581093669951,0.7078693407653288,0.755019254199843,0.9982158447032567,0.8359856895184568,0.8400940347344229,0.8193835349695984,0.742641070778872,0.7240147532154181,0.8005761649700487,0.7710947734699021,0.7292136231319029,0.7782430212443434,0.8190254058242554,0.839003824711424,0.7858015575493964,0.9583720599389961,1.053210866051913,0.8696908873878335,1.0168226892478989,1.178279118369087,1.196502694255056,1.0866914029042618,0.9504822785094803,1.6684080734736852,1.5085250423187029,1.2383726744523462,1.093675411202102,0.8843070661096109,0.9712733611785399,1.1993260198491056,0.8711086079825684,0.8236871094689623,0.6705098387919016,0.7223695656219108,0.6544823621367888,0.7666115083257646,0.6535819908699453,0.592035136402018,0.6038746477717555,0.581486831007523,0.7076981347088572,0.6348843252021168,0.6683312368133607,0.66869708781718,0.8490646481645695,0.6495137874682642,1.0709254552537226,0.7851435397846784,1.5874439008439913,1.7704331626953997,2.7625994256534168],[0.5904352577366895,0.5697254173194702,0.7492905449148524,0.46820687666253813,0.6346530637511526,0.54080276763236,0.4343819327799789,0.44501990965004395,0.5059998350722438,0.47854231209198367,0.4862525097850155,0.5358643572739205,0.5677398177352796,0.5630056910490503,0.6512482418502052,0.6481268922495806,0.7135922173258739,0.7884715391004375,0.9158807713125309,0.9554382757960062,1.0858588457754434,1.1084806680643229,1.501247227423172,1.4909678055536544,1.4342610552598334,1.1741167131710157,1.0492610858743188,0.8803777979044408,0.8037303627878369,0.6686943583391972,0.729995806320681,0.6180625909238796,0.6360212163094854,0.711183222599758,0.7220149452727298,0.7842820128878392,0.7342739374523652,0.850319315647588,0.929375079170275,1.118435663398664,1.1183042305833852,1.0944749006926302,1.3509813464858065,1.7577272323690805,2.2572900844451325,2.909422274655679,3.9959845593274643,3.1508046677399153,3.0452415148132745,4.15401404779998,3.118676855488493,2.7107780910146917,2.290673033538405,1.5336852425892027,1.8087444441050546,1.6429508458061297,1.5007267530024775,1.5068295218605774,1.55952546416992,1.5965268170621443,1.1680737109375685,1.1140894136976114,1.0287967043787527,1.1865236144835731,1.1126268600172582,1.0615942875792406,1.2075741992515703,0.9470896032889901,1.0712585368143401,1.155191792818116,1.4084702372687066,1.715839764177467,1.3060138467495896,1.2575550851765234,1.0583010211581745,1.2615652376422428,0.9647084832638546,0.8927188620671589,0.9096130817601842,1.0103594431209404,0.9649350805137059,1.0275763576170174,1.031719339723184,1.3083215717822385,1.2840181144041656,0.8999967884657499,0.9491375049246248,0.9323066355870173,0.8768737804597286,0.8353557440186364,0.8755829864657653,1.1058048848840618,0.9091014160484133,0.7491598082950246,0.6901801247058955,0.7544139181826051,0.7686019171247377,0.5998491315716983,0.5397947202518976,0.5746939777789761,0.583288223226009,0.6866585381956994,0.6602911147377495,0.6615292925872042,0.7630584482125543,0.7447725501111859,0.8216950462523903,0.8730201368203653,0.7950578310006448,0.7616609088093463,0.6459483270520685,0.6149989009061085,0.5063680407331834,0.5471905951471296,0.5816172440597285,0.6797623679587991,0.7735428485659773,0.8822296204114595,1.0402882485868992,0.8209797525855165,0.8160755794299526,0.7227140762270311,0.7151334363424706,0.5611894706912646,0.47965165397529197,0.5166681700425046,0.6346181225569146,0.6462049419723739,0.7040779188042922,0.821035769600134,0.9034747465841519,0.9715037973906999,1.0085287592532524,0.9298745413268448,0.9283797585397924,0.8243529689619992,0.8787579125591034,0.7854345895835725,0.7119099666965079,0.7870741371870394,0.9416342241424308,1.1905121609700078,0.9772400918006594,0.8729826103169878,1.0510553210031481,0.7732785904018377,0.7350245993123505,0.6191124995486431,0.5737003175021096,0.5227564277898152,0.5486839333329959,0.4884393714028122,0.6860735091603576,1.112643044416651,0.918143209459261,0.518499124374132,0.5197498947332411,0.5369355350275288,0.5915720167479702,0.6599698190746227,0.7403936146010516,0.7502507476977627,0.8035992750488122,0.8713441821046092,0.965825067609946,1.1591316663455042,1.1383770730766174,1.4232139486502646,1.4092167071519655,1.0832485487819172,0.9929890469714292,0.8763960069082899,0.8737204049394801,0.8360934920037943,0.7888540253677577,0.738577337070854,0.7620474411726184,0.773169638393123,0.8388478079552605,0.8797510676592791,1.01137946123206,0.7889319474260991,0.9841513933393332,1.2194252915315609,2.206074052119215,1.7608358835450855,1.8873787054313902,2.143904887251782,2.098873411598246,1.6367902771983764,1.5303540415081434,1.3471185562063948,2.05053523799209,1.7226989514047095,1.7028451393500066,1.7093861566808906,1.211283982320668,1.1601648118312222,1.003601241908261,0.8961714938302802,0.8455680403128614,0.7437289037978209,0.7101153067374849,0.7464982456257641,0.7380031466951137,0.6968606425514184,0.7267119175943325,0.8010953462366979,0.7789901860049532,0.8527980606090056,0.9672738936220618,1.0374402181573306,1.0461574445750148,1.277584133015643,1.2999545021682222,1.2224415690968573,1.2430994970553038,1.147035808338359,0.9904461390524041,1.0616562399785239,1.0530272040059043,1.5303951551518067,1.2802411134549525,1.0788626274880924,1.1426347324524744,1.0134677145990627,1.009270286505636,1.1402604818648951,1.2213037345463338,1.064113302716021,1.0520119214961838,1.2590278306161193,1.185898886659411,1.1485329413986645,1.5874225295821247,1.6882589403786992,1.3009265905132206,1.5274482667724738,1.0394344001495475,1.1193640456019778,1.0570480013571408,0.9084717082188821,0.9824672730880144,0.9090295974877095,0.986437598768929,0.9133605102395028,0.8833048940674388,0.8108709418616944,0.7927517470114743,0.7096587205722321,0.7349474767602083,0.7766847734850811,0.7520880204686993,0.8330634515917568,0.9042744346724795,1.1408755541251012,0.9691375300778294,0.9803554442548391,0.9500078514919079,0.8677099827845742,0.7993982248628353,0.8785180504956236,0.9023633807621376,0.8261788937435124,0.8600794172879286,0.9255189346963304,0.9339109855861062,0.863721121607041,1.0245673212378832,1.1161481884130031,0.9450460106055287,1.1201679052004718,1.3073685583556014,1.336499348315516,1.2055126883134542,1.0306874037059452,1.7045397464467955,1.4575823514029995,1.2721762962877936,1.1016030298296078,0.9158147177997626,0.9766503239048486,1.1192172973668573,0.8521910994770185,0.9031969196012327,0.7763609268300539,0.8375709647907106,0.7283337154717485,0.8098365453471368,0.683792498283144,0.6500827613671611,0.6505909853571719,0.6592002269103462,0.760265498231875,0.6749177402947121,0.688968086857712,0.6736144090865235,0.8454508015412707,0.6363596945066474,1.0006842499102928,0.7620581902730522,1.4281851102600664,1.562466273367555,2.5788204112856197],[0.6213143196780572,0.5892507007180685,0.8359324605939848,0.492984985545313,0.6648132620552748,0.5724838432591596,0.45439895700848837,0.4687191800392391,0.4977652960425992,0.4541291392341641,0.45860637899322143,0.5140318792633567,0.5497079214352624,0.5228016104438977,0.6138594114117044,0.6205614261445086,0.6788521025953432,0.762368110479869,0.8967730834634408,0.9433673945167721,1.0669369147683778,1.1077959954290415,1.516486802097261,1.5088249014797703,1.4287642950944073,1.1433282724830582,1.0317609136758985,0.8558924645370604,0.7851236780462383,0.6546669115922227,0.703272496761682,0.60915397855617,0.6284889282700231,0.7013157836771469,0.7081923242836603,0.7780388900680851,0.7340593052801011,0.8493069040410886,0.9224074127659119,1.1397024386698345,1.1071407355974714,1.0723670181733318,1.3420423382317588,1.729686520362158,2.218738583273842,2.783997516856707,3.9332679400055506,3.1675020960178206,2.866511078898684,4.072722046890999,3.1106348735542513,2.7103853473825876,2.314621883497664,1.5269506206924137,1.8884063942136617,1.6691929904317626,1.4983395498928107,1.5288722809510644,1.5796089740102206,1.6085474230713703,1.1770552399389802,1.117828857088982,1.0202393278416584,1.1882675195182535,1.1233696440281873,1.047053090961986,1.1738276910993597,0.9278641198232164,1.031885518650289,1.1186209951426382,1.376760347534667,1.6830242361758543,1.2635628173651825,1.2427027907841517,1.0162828035407818,1.2172298589964157,0.9593069409855075,0.8852682334051136,0.9144082775902966,1.010934485989671,0.9936298226503232,1.0671396909390842,1.0528495532991466,1.3825391222681214,1.2846926728514239,0.9280331267101466,0.9628144903521526,0.9567267836237346,0.8654447330882853,0.833792084574151,0.8569528412957587,1.0785845134489978,0.8920437269835466,0.7266318668009346,0.6613730021623692,0.7185539019679542,0.7528118622359791,0.5884338497820809,0.5359704818301415,0.5788485408943441,0.6075083539425541,0.7152181413550744,0.6961657022255782,0.7259619005459483,0.841530787348375,0.818556306217343,0.8937587330499456,0.9367723673526825,0.8516736930927907,0.7985856061464838,0.6900751237652666,0.6552158194109913,0.5271862758392851,0.5532213632416825,0.5632293769789143,0.6535300825311787,0.7383335173592381,0.8335127050981967,0.9884811180025702,0.779336355162536,0.7668794731920583,0.6797299100903572,0.6711795047190605,0.5336032382246837,0.46865167232803917,0.5112856156751165,0.654594022330565,0.691078641909092,0.7559166137810149,0.8878102105559764,0.9662413958146014,1.0621551925353656,1.0979447991181586,1.020210118064853,0.9896517174473972,0.8638383902979562,0.8953498878197992,0.7724320644884188,0.6711571054832796,0.7727547759477831,0.8824214534806926,1.164601263608967,0.946729776661714,0.8500704221796472,1.0363447353809416,0.7682272784766657,0.7272356024134353,0.6251811363102681,0.5969786382426426,0.5411688570145514,0.586718175651219,0.5080140077441813,0.719452246928568,1.0903525679266126,0.8841473713587014,0.5482875545950001,0.5364637707748279,0.5828841976021111,0.6145889689763369,0.7081382518779733,0.7801490136272442,0.7601905371779974,0.8103365845897164,0.8954927678061785,1.0087752028565922,1.1622178538680878,1.1863333665550269,1.4568271174181493,1.4260017481820193,1.0828434697109157,1.024022693265332,0.8955747895954115,0.9122433157815174,0.8828163947714793,0.835422388612943,0.7932868150941195,0.7853361260854538,0.8179866783845637,0.8843674369312966,0.9485740998950389,1.0729391393707324,0.8682938858335836,1.0680932027014116,1.2998082116236613,2.2571691548911055,1.7511479116452966,1.8760396248111317,2.1811984844235006,2.095606600439939,1.6301082811986105,1.5165487343287842,1.4289426173457753,2.144791617273564,1.815265967438124,1.798894753376784,1.8177363933699626,1.3081491785890433,1.245762661947174,1.0744550051154955,0.9533086183454226,0.9371027829560014,0.8294894139729898,0.7737859009479513,0.8230302622331747,0.8266715015251185,0.7581946304416748,0.7914813099520219,0.8768023271016203,0.8487794733769651,0.9044023075832608,1.0265624654703012,1.0917617294204265,1.0757764247291763,1.3177520330660804,1.3451349334325085,1.2793168567132422,1.2965817211930415,1.242326927383396,1.0828104784882255,1.1501259013469973,1.1410922168147817,1.6303024003733275,1.3664392912616625,1.1751694408540434,1.244673157004334,1.1422859570667785,1.1062275771661085,1.2820315021238926,1.3336584180356055,1.1772782535159256,1.1756911495673015,1.3988196960512798,1.3007325639141971,1.2632753996043935,1.703040470963711,1.7895331210520857,1.3907315601639534,1.582697252075653,1.1254617934728761,1.2153921976093123,1.1680667553858526,1.0157475514531291,1.0694157674933478,0.9907015969171619,1.0435183591201649,0.991678821628781,0.9978540187640395,0.8855497567461643,0.8373980132461456,0.7844459612607644,0.7991974332290761,0.8019350002716529,0.7948117492597333,0.8848706282008036,0.9309819626775426,1.1451963490013441,1.0167584129069585,1.0448670473319448,1.0282162702579498,0.9555137035876161,0.8928139039176718,0.9909935984776665,0.9937017362519,0.9224755417364446,0.9642722921962519,1.0267720975869183,1.030089789628688,0.9620368331488836,1.1326102530543412,1.205172286978474,1.0328487260594696,1.1994849713650915,1.4051385952227315,1.372990719287851,1.2670585066470843,1.1009580342863714,1.793330590351829,1.4924015006756572,1.3799885411011927,1.198187508013417,1.0010230670203712,1.0399862407894225,1.2150535751112976,0.9364875445032209,0.9445397638347061,0.7974102609269418,0.8742029910049861,0.7759046691436675,0.8553668293204219,0.7327015693308038,0.6946457555488933,0.7077454409653017,0.7305411307277719,0.7612584909281671,0.7077370523836282,0.7652763461772641,0.7421483438831739,0.858914688398495,0.6930899307440237,1.0815075865501982,0.8142056656361426,1.350590087890165,1.4782168955266508,2.6063328469334635],[0.6931934351617882,0.6486855359129406,0.9124263011518353,0.5555052465220313,0.7104614848154025,0.6350793427595091,0.5276268637409213,0.5446900270478533,0.5661516106646846,0.5083791669420082,0.5056806314528759,0.562486437702014,0.5861359336824056,0.5481055261711272,0.6240666446867971,0.6399346883723324,0.6774126115491517,0.7488809373974126,0.8649076782793605,0.907761170189111,1.010973312363214,1.071420983396143,1.4457477229546112,1.4434847888975506,1.3666049345291948,1.0789433368346826,0.9846903822544943,0.828896761312883,0.7734928928926117,0.6651755131097619,0.705000633858977,0.6323570901826243,0.6500154088507266,0.7000573333856763,0.7090776755345792,0.7693803612702962,0.7441331113495367,0.8318686079083112,0.8943683474888438,1.1141508218450686,1.0730067475450595,1.0243784753350813,1.2782095914826994,1.6562698300624192,2.155011575801444,2.7377929384173667,3.8527167651095158,3.0801298397505334,2.7987610422957525,4.067287313950699,3.0451643112539744,2.665171584207567,2.2379323215193048,1.463618181975239,1.8587742773519815,1.5886529035189867,1.4193166782296793,1.478087130967273,1.531960686175771,1.530949811590016,1.1346520714291481,1.0684359914052233,0.9722547455175895,1.1275700263846016,1.0724100640341228,0.9994819469066409,1.1084719549593705,0.8875006096448833,0.9797132642694635,1.081007231866694,1.339419296788754,1.6288571772307872,1.2123343233709936,1.1845287762407721,0.9670773653140514,1.1535721758245026,0.9183688398977349,0.8476452893066595,0.8853280744167991,0.978038491698457,0.9831864393050397,1.0562017887287065,1.0565517432480973,1.386614809737348,1.2696114062014852,0.9291877112755123,0.939535264582729,0.9584509843853432,0.8414128016410771,0.8211228084775929,0.8298441088625961,1.047118976334565,0.8813885449702744,0.7264219600263011,0.671282857555269,0.7167164486139206,0.7539234595159843,0.6208644147647444,0.5834351440166732,0.6287634666529063,0.6620692403020614,0.7709949247426949,0.739511026085124,0.7760839653692491,0.8855386075694176,0.8601347630166006,0.917167682204848,0.9563062054802316,0.8718560138815615,0.8166367491582355,0.7159313222070752,0.6992822349815113,0.5875289341223708,0.5850192000944465,0.5912505877759441,0.6667985008038567,0.7323093563562126,0.796788259454212,0.9178754250781472,0.7555507528624494,0.7485851175359103,0.6907116551649977,0.6800185185023405,0.5532236713397453,0.5149488788451738,0.5458128973591968,0.6787753786542079,0.7233679010606237,0.7789320269407618,0.9147726043679474,0.9785913256523849,1.0726923516834421,1.1102946323521874,1.0411070006967467,1.007889217182989,0.8875616401921937,0.9108663757167672,0.7862214388987805,0.6729542548850822,0.7706597364327608,0.8404847194057414,1.1111037334181502,0.9006057864479142,0.8270043974900264,1.0062823023687333,0.7638390394944601,0.7311261957047192,0.6516957014443571,0.6389076643287863,0.5990785771440454,0.6399931573359702,0.5742042627129196,0.7640719420383432,1.1145748720829536,0.9101977076088619,0.613400437304401,0.6006683613560265,0.6447186445166754,0.6655699429579077,0.7571915438101056,0.8074400850145822,0.7711267458198784,0.8108414740703995,0.8914829260340306,1.000905594014442,1.1401415897335798,1.1742011772790062,1.4306242055161034,1.4156349853241146,1.0789747246160784,1.0286700524910093,0.9036751828698237,0.9203080977949585,0.8972579352613707,0.855705883561585,0.823178262960999,0.8128980602187612,0.846229346567819,0.8997001277723214,0.9714436422307828,1.0839124463342633,0.8962635943066408,1.0807872854450193,1.3019863939668508,2.285844290209637,1.744526090270705,1.886329784558671,2.1710060615009277,2.092885205695689,1.597125205303398,1.4895652068631136,1.423118968483853,2.1425639575105966,1.8156417933244549,1.7961894117869737,1.8137935097097837,1.309361416886577,1.2391312545305269,1.05871685806278,0.9507846115047848,0.9210121502183144,0.8220075346866395,0.7674571465813019,0.7914530703610921,0.7878606515317443,0.7321176172681797,0.7699990046697932,0.8332234946733135,0.8021971543506774,0.8687513123497339,0.9823603542851629,1.0278389724047543,1.0079874321352071,1.2401003588206194,1.2753419124574963,1.229879659449712,1.2328115138944582,1.1857387245530604,1.0175241920418148,1.068767926424982,1.0494183764857783,1.51253166333621,1.2845150744285663,1.1208435830175683,1.1841389132716278,1.0837666735499436,1.0717972494142003,1.2434618667539605,1.2736092386845115,1.1433433182182353,1.1416978143811904,1.337234913909037,1.2412513492246038,1.222772837676644,1.6722153613418644,1.732034516339671,1.3351322384627795,1.553328334666415,1.0937161433180205,1.2167644900944683,1.155899748829786,1.0061506167616217,1.0643198499990232,0.9784876204396853,1.0470007732625395,0.9895963332233533,0.9899325092836974,0.8753730959545651,0.8226592548353757,0.756361799611204,0.7562569451104472,0.7492556118384818,0.7494281615517219,0.8233310590894037,0.8559871827184083,1.0765411909159663,0.9475944402101535,0.9755359300486692,0.9596394155914192,0.8909197349855217,0.85381908850006,0.9395789917102915,0.9157088776005051,0.8669643983587055,0.9167596296048293,0.9589942925197912,0.9661313863903144,0.9125916430642618,1.087062170704835,1.150567847196816,0.9779085261809863,1.1381898847122764,1.3218488949846514,1.2898168405490056,1.1954656753074733,1.0535419912856059,1.7656501874565733,1.5218781907249421,1.3571833515181764,1.1904539862248364,0.9802601828124027,1.0371399878184626,1.262924225204746,0.9615310082285209,0.9174898230179932,0.7446555308727077,0.821799153861904,0.7556154043512712,0.8463627158883066,0.7408897256204187,0.6811591394435662,0.7070669194595596,0.7156431610458424,0.7508933948415656,0.7143239882086032,0.7707985616906345,0.7617480743436292,0.8997525336490017,0.7321116318040647,1.1443316445933556,0.8490905784592719,1.4007673090580237,1.526035332103336,2.6078707334378906],[0.6426688682159444,0.5898502794917128,0.8096522099597591,0.5016717502441178,0.6643997811015184,0.5872418316552386,0.4824372599631579,0.4882249579923507,0.5200006689524787,0.448641106977202,0.4419100195704567,0.521019186804621,0.5191490734814228,0.4862311456782783,0.5432537824413707,0.553523206678433,0.6024075982247266,0.6399770198861314,0.7468786033415697,0.7772748619356122,0.8550387798753384,0.9715742056979773,1.2559859661790123,1.2615570192398966,1.1977003416106784,0.9339165217404276,0.8358860116298202,0.722121470988253,0.6723277617218348,0.579118307449234,0.5986147367789844,0.5461476962864319,0.565666180884715,0.5876075423122323,0.6043803726495439,0.657726810415266,0.6458407352650988,0.7285980665939249,0.7781417057139752,0.9854839607507775,0.9956650239184447,0.9135007481216664,1.138712790061032,1.5517819580450456,2.094096290709061,2.797191795251227,3.8034288016598894,2.914493257346917,2.8775308327950757,4.130322378856669,2.918202180305531,2.5605971020480673,2.0371566934188623,1.3007204756837913,1.6564734336334002,1.3794359274669064,1.2457345203350985,1.299289215956594,1.373751954013383,1.3674658353670646,1.0020814712687542,0.9209410620136793,0.8180761603458736,0.9729483957730908,0.9257763339422742,0.862768147454705,0.9556042114835848,0.7524851483946221,0.8658678085831423,0.9943593211889816,1.241299712196906,1.5152971671198838,1.129357857887553,1.056352508302929,0.8535934322944874,1.0152767024423313,0.7796566914247598,0.7025246240584314,0.7468010862364848,0.8433082995580495,0.8515707360207446,0.9348016037591789,0.9635218494077927,1.2740189077111805,1.1995721698045185,0.8126422457401167,0.8002195174893325,0.8515215089016843,0.713341220584514,0.7000375383283947,0.7025069549984275,0.9220799249966979,0.7488182987752187,0.608697486331671,0.5672823958660949,0.6386251562907183,0.6741497589727984,0.5541051519281683,0.5384693194942693,0.6148296337930745,0.5793145502854217,0.7273771164291962,0.6518316581379618,0.7110836076915328,0.7799051544244076,0.8050674593887523,0.9045408947127566,0.955959279759041,0.8721981812540803,0.8330974737712691,0.7253310126847089,0.6589264340669448,0.5302360673489857,0.5585494224588673,0.5301800001465706,0.5884359310311964,0.6496420404801798,0.718833567660584,0.8152650697024093,0.6582779084750848,0.6687701227275623,0.6295350705738627,0.6316621080057498,0.5111585538793968,0.45537866952743766,0.5238361570352358,0.687071710010991,0.7040727667490955,0.7879899585588986,0.8913152296199377,0.9882103809142415,1.0510079857231511,1.0722243088013155,0.9848661202588506,0.9769074555348646,0.8723058720823489,0.9171205886677757,0.7752279969649553,0.6610621812998122,0.7121473415679334,0.7631261831680854,0.9921943433515737,0.7873289668596755,0.7351371246751558,0.8928869042869134,0.6759413785731018,0.659592965301971,0.5837027668617719,0.5738324465941395,0.5412265972962645,0.613522788729002,0.5316753426419693,0.7479015785678496,1.110523759482412,0.8916899603080203,0.563123784327453,0.5363840635869994,0.5978177155656857,0.5900293534751117,0.6768449606376246,0.7365752476302103,0.6842993677291656,0.7331116935617611,0.8096007133793226,0.9139404858776514,1.0815950776056376,1.0983826149510458,1.3762762732597509,1.4083061163574482,1.0913331198777343,0.9860059021958949,0.844925497515657,0.8463294464871336,0.8167526890058294,0.7640854622258572,0.7308890371787518,0.7284121774905301,0.7619833387887759,0.7996498710906556,0.876217819937399,0.9830034367268191,0.8169159080923072,1.0110796947990173,1.2147815230071215,2.4473823384019116,1.7817647099612324,1.9697106394313162,2.1527677236113374,2.1309665991095943,1.5397534018114212,1.4161238838518944,1.3228860846064885,2.1057955658575334,1.7987643413032783,1.7284923011304436,1.7119760514516267,1.291426383018357,1.2379472078804235,1.080260779437688,0.97084022679347,0.9176628336854129,0.8223783141072925,0.7930385105473259,0.8103418506533464,0.7927268644452997,0.7520065410427528,0.7684002528480419,0.8250822975816807,0.8124931028561141,0.8836100004940673,0.9823427174777781,1.0378837654146924,1.0450746582702837,1.276715553459125,1.2836228353872199,1.211523525343775,1.2181911051351064,1.115837291762911,0.973645789889298,1.0332000860624269,1.0182904080471162,1.469353044463727,1.2491738900150073,1.0750902242776381,1.1473711685091332,1.0309083799888734,1.0390622963224516,1.1827638183187164,1.2479940244088692,1.0897870001682672,1.10130799215864,1.2924382284507097,1.2104698046983593,1.1912993847519484,1.6049121337509644,1.7013778266225579,1.331993951664864,1.5796723916485036,1.1016056264766707,1.1815870965070792,1.11954996461566,0.9681524999213815,1.0473912189416865,0.9714815541337559,1.0381108344998193,0.982476818585309,0.9433445980573057,0.8692583798603495,0.8554327138351934,0.7716273187718062,0.7832825245339748,0.8066405169733004,0.7880695194857859,0.8587076977883025,0.911918573141524,1.1357327525002052,0.9765631809051087,0.9867948927289643,0.959388623887602,0.8806412609417227,0.8319308508247119,0.9092181249705937,0.8986346530141126,0.8482302465349327,0.8878402042866218,0.9241400016251207,0.9269417026965318,0.8894047506391565,1.0260511183278989,1.094722071961855,0.9379023645972181,1.1401713037148935,1.2859260543270248,1.2951011768621388,1.177991035657637,1.0049789730701046,1.6507954081981637,1.4386645932154527,1.2389639009886453,1.1077530518870906,0.9247519038161768,1.0059726575679395,1.1712353776504174,0.8794943133183966,0.8816678689325395,0.7989099408128568,0.8673019482051983,0.8045335415440567,0.8942363522815762,0.7706174523573199,0.7228459717004435,0.7427326913816696,0.7488558524913003,0.7917788202249912,0.7452123988117507,0.7620002011722189,0.7499272315867408,0.8661224710579875,0.7059178608561235,1.0870229587268843,0.8152572097328341,1.3220643485526395,1.4472057671378202,2.528885267608972],[0.734756177870401,0.6918255064936568,0.901897507997481,0.585686207843139,0.740407508938834,0.6411881398756467,0.5292453608326287,0.5325472613190916,0.5348605422637539,0.45904746994010864,0.451882793863445,0.5366796902081244,0.5324636170050329,0.4992114259999265,0.5586278672432547,0.5755811370039446,0.630194424596803,0.6786964461778546,0.8082088546538171,0.8439412906990609,0.960097480868667,1.0375549543409335,1.4004821852313765,1.405914568456082,1.329491818976477,1.0400737043274897,0.9160296138841203,0.7707728539877062,0.7088824597113549,0.6019119516792663,0.6220277461132396,0.5671398681134076,0.5862269622260089,0.6161745497131988,0.6359622422335193,0.696995185812251,0.6737217839363513,0.7754024041471076,0.8356712343820013,1.0544079198097152,1.0397371738093155,0.9752832443340429,1.20814127827691,1.6120082182117048,2.143467616517121,2.764791918797407,3.8609271468694297,3.048319332588454,2.8192300379720088,4.074163515715101,2.990763709225342,2.602947653925113,2.1358630627232342,1.3874809030183515,1.744761369207964,1.501617859126635,1.3416548030827278,1.3698765100722847,1.443898183740302,1.4657366262117206,1.0797095475342489,1.0000697807711905,0.8949251542738729,1.068312835893245,1.0185603147381617,0.9467898882675517,1.0557721773736541,0.8201524724599606,0.9338169500243967,1.0420946940290174,1.2941662929323843,1.5737704074951375,1.1769987409538274,1.1252143062290618,0.9178998225980711,1.0903139839844957,0.8438690732064336,0.7630365031213843,0.8070798088289534,0.908383390105525,0.9122647893299913,0.9912875111827011,1.0033277567681531,1.3313738767407215,1.227660557711479,0.8690949568719142,0.8673885975127716,0.8714813534699396,0.7623962879916564,0.7382075933174171,0.7444156586026341,0.9567447285048867,0.7752783867154276,0.6299371452039184,0.5833933356329368,0.6432192304219067,0.6806285835051873,0.5618993563409852,0.5525387070461537,0.66080698870248,0.6033673497121582,0.7758555777911085,0.6857507680450977,0.7688426817481723,0.864435711971003,0.8829591698282135,1.0210561997118417,1.061951684551246,0.9860582311789641,0.9400874574163436,0.8294009443186872,0.7200542267965296,0.5720066956153168,0.591044264194207,0.5445846296608271,0.6104324128108497,0.6844036112087157,0.7687967122829992,0.8968623682659499,0.7030789369598053,0.7133289919262197,0.6566953676898862,0.660160098786142,0.5326264915079157,0.4769495950974427,0.5631567506283736,0.7694131608155876,0.7667491211647113,0.8784464933731748,0.9662581646812941,1.071519251706563,1.1686981131086263,1.1683552008334759,1.081405378748552,1.0441332419158011,0.9100799676644235,0.9584343363881194,0.7861725217010842,0.6741964135027295,0.742812938921762,0.8215638926027161,1.0912826999770964,0.8588826532440622,0.7830332497049353,0.9584667448542713,0.712001030633432,0.690714576671977,0.6130837423702842,0.6118432657079762,0.5753466202891064,0.686214147882495,0.5928723728229593,0.8322843162508965,1.1536417889217139,0.9407520991438272,0.6197627075235888,0.5750672111494445,0.6562049457243635,0.6227019828621341,0.7264301398653786,0.7757994092374273,0.7243139029614325,0.7687243204516742,0.8489948154768379,0.9743647029946781,1.116328296740786,1.1721150531737126,1.444741626012006,1.4432216071587274,1.11314091063315,1.030693632063432,0.8844296453779937,0.9008976931629993,0.8748367526587203,0.8214407282321023,0.7869795329623995,0.7583503354524698,0.8176759381628302,0.8654418381582232,0.9481339487445669,1.0661325168738496,0.8957222179392946,1.09279549147361,1.2923350374743254,2.4401216418061162,1.7658357950492523,1.9521559436223024,2.1652740932965937,2.111587464361221,1.553853964883202,1.434266748385831,1.4215859624977152,2.143429297346594,1.8467571616795124,1.815132169896129,1.8338930839954681,1.4185270345761196,1.3831706771636652,1.2337437139786167,1.1093621162853746,1.126420126417143,1.0265544513050013,0.9738025917211452,1.0463048965330555,1.0618610181254167,0.9809606351413754,0.9960970369890872,1.0977805314910325,1.0837254908109741,1.093113955641688,1.2088581184336644,1.2895037886786782,1.2617755998463527,1.4890563796002712,1.5003594543803969,1.414891072939972,1.4676480697151872,1.4174563660391521,1.2922238467051925,1.3685834869749671,1.3748112577613356,1.8430163367642183,1.5600585469009247,1.3901836212112193,1.4621276159871734,1.3582805176504575,1.2831574713818774,1.4509937918257345,1.5157946398603543,1.3341515252540896,1.3626947548216837,1.5980855045692273,1.5023594494563826,1.4463051251393977,1.7946002554184464,1.9461988853705658,1.57942731743394,1.7114647234093643,1.3110081455202993,1.3425507836784185,1.3177282553886915,1.1867023821555451,1.228198437154489,1.1809447208016528,1.1892401392381473,1.149603739527502,1.1831665281238246,1.077462255905614,1.0243770506946817,1.0115896596568326,1.0412110497629632,1.0305258912406694,1.027058550976017,1.1383335746502201,1.178700888726287,1.3446342776628764,1.2514480555458964,1.2966220989646968,1.2720980135149675,1.2083906340936206,1.122710358189617,1.2371183372143222,1.2471413172093782,1.1641537203379837,1.194744020452784,1.2628670940688127,1.2528748911016565,1.1934331901298931,1.3269066826821798,1.3994304477744763,1.2565359418962625,1.4070816179578105,1.625634835292535,1.5771604176876406,1.4719791018223587,1.2849243589002552,1.8838002957751778,1.5436217003220112,1.5104311903799013,1.3165908379436748,1.1615369222995047,1.156936615318034,1.2661316027874345,1.0656695279543638,1.1312889554317749,1.0509452182340513,1.1084583709340616,0.973069144493197,1.033214024460811,0.8864756545407234,0.8854269644262752,0.9018326514550963,0.9542098946678131,0.9147151869246595,0.8658813527941178,0.9481355521339928,0.9204670068536385,0.9280788842544218,0.8430433486217842,1.196900416266725,0.9874295257208178,1.3173509099798701,1.4746248105769801,2.6411428208826515],[0.7983130203882303,0.7419335481629694,0.9728420210547044,0.6545855805122497,0.8378970114465446,0.7676371869349807,0.6619874005094739,0.6664812445649189,0.6742052347479978,0.5939422867816015,0.5784689588861389,0.6525185706105338,0.6528607313766881,0.587339469074629,0.6510514348390984,0.6874045411352129,0.7065689550200789,0.7668048374465067,0.8775839914184326,0.9167271855882295,1.0252448340637266,1.078129123506221,1.4933638879519915,1.502041069225344,1.4146378928790113,1.0959883111649045,0.9963360313707741,0.8461122234658226,0.8045555549015984,0.7258311236934957,0.7270725975711907,0.6927599920010501,0.7101485625714162,0.7421210496655809,0.7610557522944428,0.8122309457976338,0.8061126735891734,0.8771950789736533,0.935197644429275,1.1563387067631707,1.0908828214121427,1.029377968805474,1.2256170861167355,1.5822911399913975,2.084702346087743,2.652008451036856,3.7510401868856915,3.0089087102144116,2.624384377460294,3.970245075644236,2.9188023327035792,2.5576474460211562,2.1006736456035178,1.4272239199203327,1.8317952771104034,1.5156939871008939,1.3354618329681402,1.413085220560073,1.4808514284861232,1.4774311323190306,1.1528454875558722,1.0741541131639851,0.9998884326438221,1.1041401427759192,1.099157590539261,1.0038420316804766,1.1059104498092145,0.8903730704760467,0.9564326178657234,1.060615774745388,1.3254482241765113,1.6031501148064558,1.1962414483377795,1.1606230612289814,0.956745676633271,1.0936479554936467,0.9294862587734832,0.8650547461194907,0.928642296069009,1.0265595672618661,1.038691197517865,1.1208791597926262,1.14631160232714,1.4530535486743255,1.2742933523476905,1.002237472103582,0.9742465973669671,0.9974036398724291,0.8778429393160002,0.8476433156762295,0.8281259761129098,1.0177470398418451,0.8643191434802139,0.7313860065812033,0.6899956107992153,0.7288446339460213,0.7695318501402229,0.6867652163152779,0.6800739140224473,0.7471863454393203,0.7591895477464309,0.9078803482937462,0.8552764671058383,0.9410715112416489,1.0375715932202345,1.0335573559394702,1.1307917585504073,1.1625627456863774,1.0696515991149012,1.0090518268414699,0.9079234516695606,0.8394721944100301,0.7099056299960099,0.6959134719035044,0.6537501125339523,0.7071579040374256,0.7564174706524417,0.7899609038165176,0.8885311739135251,0.7462512580273096,0.7408026242491068,0.7064973945647506,0.7016451884372086,0.5968025231079815,0.5877804222228474,0.6601939582309626,0.8276824631499928,0.87081658880637,0.9704992765448966,1.092088438320934,1.16815345998754,1.280361497076904,1.303878898402368,1.2361545465320471,1.1791437056582679,1.0210161929158679,1.0358199943302786,0.8633682121177128,0.7464085990531546,0.823566709137413,0.8620187218002101,1.1361243157458751,0.9105795046640277,0.8532882916484819,1.0302130245600647,0.8105072599898664,0.7811936645090425,0.7314130648856556,0.7574064245048968,0.7297430600349097,0.8139793509721649,0.703138866599416,0.8915998171706249,1.1772331004524599,0.9803948760915971,0.7598550364293217,0.7304099699972701,0.8068224345621352,0.7786224529913386,0.8865732951600316,0.9140606236569672,0.8490984158504319,0.8776592659315925,0.9690306472689143,1.112894688395481,1.1809454996144786,1.276809464453968,1.5161740632993086,1.4966764891833526,1.175548662720257,1.1350037938234747,0.9949906446313794,1.0301633412633178,1.0176357356099177,0.9741858185692054,0.9534569890654602,0.8989250434809106,0.97704552562414,1.0062449438182532,1.0934579134392848,1.2071452570280135,1.0668678134144323,1.26439644305551,1.455124911763627,2.5073936795316283,1.8167505156019417,1.9663470911683416,2.1971410947138805,2.157056066525018,1.6315582502678618,1.5461506575992485,1.5800339690943244,2.2591865988807904,1.9491491785822284,1.9332181400131108,1.963792320806853,1.52755154111647,1.4581057862608804,1.283186536340696,1.156281803616908,1.1824377125614132,1.0838475516494062,1.0172245951540524,1.0668922969313985,1.0837735001590578,1.0066840426231156,1.0182840096449983,1.0938501055915273,1.078920641803051,1.0935865304769328,1.1992230984511083,1.2585708204058141,1.2269645233347826,1.449959698477385,1.4553551817105779,1.4015033433751674,1.4369406428325107,1.4010868643515404,1.2645732328246335,1.3242913443504454,1.3244383774132595,1.7737874646027352,1.5373615131536023,1.357790219581971,1.447434122630782,1.374864304903682,1.3215712882259625,1.515150032168963,1.5083628371725506,1.3710914381598165,1.425812363362432,1.645285427827829,1.5244818831250047,1.4961681540112135,1.870606761500053,1.9852469415340968,1.6008749230884978,1.7401350857559053,1.3556717365075,1.4149202400970993,1.4001774430168952,1.255060957515166,1.2888535738711815,1.2333925850185472,1.247247119572802,1.2102561456199847,1.24699802708798,1.1281343855660135,1.0574466704227956,1.041291898486558,1.050244975286409,1.012338443968255,1.0150395673268913,1.1127807781205643,1.1388094983770656,1.2911050187600848,1.2187099290730878,1.266451693227169,1.2436312393900029,1.1843428713962125,1.1337111531414588,1.2464543209921386,1.2088458082334155,1.1492836121375587,1.2009085214345985,1.2383215086700903,1.2274816714497379,1.1912837784056463,1.326805680457949,1.374068978127598,1.2208178931758473,1.3803175110723513,1.5850221616196567,1.471507594228008,1.3904157104690067,1.2505074578714965,1.8983856709441764,1.5546031483436678,1.5468816151629674,1.3612935349589839,1.1854662064722428,1.2015084629586714,1.3662278697117096,1.1307777569533575,1.108545162013904,1.0082489161393142,1.0734697029543179,0.9885460729281955,1.0625096734420334,0.9497631798181607,0.9030391747983404,0.9494543357808112,0.9968877189714602,0.9564198228721918,0.9075977578205748,0.9861644922680204,0.9665122857922553,0.973704778965175,0.8957777947609726,1.2705678338765478,1.0228876213526474,1.300794552114106,1.4787441746690784,2.6790261249016685],[0.7712640865142405,0.7029977876206033,0.9368659592916407,0.6030687753198468,0.7628035817590724,0.7194305626438864,0.6179552229247665,0.613366837643138,0.6431872736935205,0.571942769042923,0.5624155567226554,0.6357596988381373,0.631645913972482,0.5705818072918049,0.6175310559184959,0.6472429018782666,0.6828048354079115,0.7226663977858309,0.8253242169803157,0.8470384572210988,0.9121720865482298,1.055573057477403,1.3236681840862932,1.344856444103214,1.2719734538876966,0.9796848856768734,0.8972784144181039,0.7835720031044451,0.75428577392632,0.6921061575481221,0.679395837827237,0.6657276429865753,0.6897638532115091,0.7050223341157834,0.7195121587267528,0.7664926187478706,0.7723445219792143,0.8366667208970736,0.8776631506152089,1.1013069016516022,1.0773139623747745,0.983257288056548,1.1543044167953036,1.5013953818482344,2.0422730817354897,2.716619751153271,3.701753568812718,2.860647376576129,2.6981218173174963,4.076409956433321,2.846892622269346,2.5312863269702155,1.984287169013577,1.3081573734839766,1.6956272802905303,1.3782422541031853,1.2352482021705795,1.31595528327597,1.405951423292555,1.3799007654717037,1.0872980708974314,0.9963910640468643,0.8890304133190217,1.0149118449622363,1.0164690359832893,0.9365677637686675,0.982327940308016,0.8104582369532203,0.8750773192540251,0.9873619954695915,1.2350959471641298,1.4860111380224539,1.110336749037365,1.055264895179946,0.8707940149527225,0.983536894841655,0.8530438115154209,0.790153497404656,0.8617234217590515,0.9552668325186193,0.9860685851662238,1.0702632981263107,1.1060564444840686,1.4074601214688653,1.2581224044615191,0.9461989810012431,0.9092525063675476,0.9662402674580135,0.8173774326428267,0.8102321036951741,0.7695521662094215,0.9350733519888976,0.7881673969354462,0.6828389570441686,0.6496747458908666,0.6914774542421787,0.7572196369337296,0.663643539747103,0.6696456110840309,0.730574353352011,0.7122432415467391,0.8620283887804883,0.7850076404723314,0.8689633794602535,0.909021564039743,0.9441243628086248,1.041319730372409,1.07643326956607,0.9844655982868281,0.9344833940524375,0.8424733319752443,0.7756262242275658,0.6580313753311455,0.6870645061710902,0.6387701517178838,0.6718305145883599,0.7160166769337679,0.7518712751204544,0.8041195468761425,0.7078237710621332,0.7085692240000684,0.699533167210114,0.6950003001154962,0.6083010153593562,0.5608023202614367,0.6330276386769,0.8005285835730861,0.8219336827086109,0.9066248559140705,1.0052565037104224,1.090158680117067,1.172207578234371,1.1865087839466206,1.116981457371699,1.0889284525001786,0.9725313604339462,0.9806418689104429,0.8315270340303934,0.7363140527248082,0.7919397248177326,0.813762743664649,1.058708900512367,0.845780387582778,0.7992995703300176,0.9587583450101096,0.7779859966088725,0.7610027346753053,0.7077269600584334,0.7135655967077168,0.6853190124351509,0.7638764899461012,0.6589675227184543,0.8633585995020343,1.1526846278545835,0.9540413886483391,0.7156963771614839,0.6879572966432197,0.7567375491465914,0.734821814540584,0.8178989710311743,0.8425918181259633,0.8037294176433506,0.8368759845022867,0.9169916568251297,1.0227244239182325,1.134607994505768,1.1889799382086343,1.4278881525392313,1.4433045721085105,1.1523056331197483,1.0603238808127926,0.9383460937962637,0.9600288262494532,0.941439100387804,0.9018439599552226,0.8678878289431119,0.8417556871117227,0.8990310259116875,0.9450100324317995,1.0197636696125265,1.1137943710118372,0.958489160147735,1.1368067082505007,1.3044123180192178,2.584828927457019,1.7752943041959188,2.0068022017842884,2.1967815994145985,2.156671929311785,1.5574592644537217,1.4391728029957562,1.433246952484592,2.1784151281783086,1.8919204772558957,1.8230011219462714,1.8127035080187488,1.4261460869599996,1.355448206503254,1.1680634540471067,1.0619403392657296,1.0190332690110322,0.9367499346063327,0.9013130336726808,0.900199048311265,0.8926187233559633,0.8571990287471967,0.8693521920526528,0.9057906497338476,0.8938762830704917,0.9609853829502238,1.051679648218501,1.0907157138217263,1.0911851264276085,1.3144695225264091,1.3126859841615788,1.261956774283469,1.2367165138522085,1.1904522042242731,1.041447490006909,1.0872353200614837,1.0559300795703925,1.5034651774641679,1.2697960580733694,1.119786378085723,1.189352891020769,1.1183308828873972,1.1363290865992828,1.2919962970419312,1.3243646650462462,1.1863848235075174,1.2053690603352119,1.390856720055566,1.2904523072783738,1.2921182996367775,1.7011889322673255,1.7740109880535035,1.3935600214622756,1.65397915256668,1.188089472771177,1.2804687198467957,1.2333838535442054,1.0761831009288272,1.1419813283046203,1.0700303872695878,1.1261911619674385,1.0819644585197932,1.0756341380575472,0.9831441936885527,0.9464254511518904,0.8764424757471825,0.8812266896237728,0.8770201329084759,0.8687548544659345,0.9309046145614275,0.961020533296451,1.1720927362072375,1.0279006449639632,1.0404747391719837,1.016258875899605,0.9593252395142969,0.9304894704980821,1.002883479271736,0.9639202868297556,0.9290599402425299,0.9797667498732605,0.9822544966989866,0.9817286602174983,0.9559581513338525,1.0969404866203718,1.115641276191544,0.9829661644459193,1.1820540841918066,1.3361591225169038,1.2793314379805951,1.1863088426557282,1.0527916223301426,1.7397216576838277,1.530881333742559,1.374137325434925,1.2293397508168542,1.025957048819096,1.091357472743396,1.3022928627493051,1.0171380453729377,0.954472063471769,0.8328116495865514,0.9137013606064395,0.8862217382001821,0.977073764678352,0.8753189774573049,0.8264083215003305,0.8633696239355115,0.8856610362244374,0.878685511264794,0.8415091905676035,0.8843237596456596,0.8682166763164592,0.9364109358104439,0.8235614890631989,1.187763658361534,0.9356007455902435,1.3153228231288938,1.4543407107675823,2.612785150177638],[0.7695612059211762,0.7237406022988774,0.9444695020852832,0.6747493821326481,0.8743487191641468,0.7631566101784701,0.69566983093457,0.7037640281783821,0.6879022002006472,0.6176416305686224,0.5996500862458812,0.6830353712555399,0.6811949034018128,0.5936270474045684,0.6242997849357054,0.6655246179276822,0.7017289378008214,0.713129766866433,0.795603611024973,0.818938623340691,0.8550897490943545,1.0378625265015333,1.2229404419393632,1.2528421263172358,1.1876095643278781,0.9329622373307381,0.852855465189273,0.7801141468563975,0.7624798030013031,0.7357508313819939,0.689924467553316,0.7145590233375602,0.7356260127552652,0.7382225837328961,0.7650795713875207,0.7872983098652725,0.8332710201896364,0.8630771239245058,0.8941832288474559,1.1182130940814223,1.0911787898497862,0.9683749767479205,1.1437990138265721,1.5087623743738319,2.0642710283223105,2.7872351232424295,3.7384244452750317,2.8252665568025734,2.796070858498122,4.123056563686851,2.8341372946808607,2.5353881835423193,1.9649694786266685,1.2999099700002807,1.6504673062612845,1.3459765905755132,1.2222130822042014,1.2980404320823802,1.3975887085007883,1.362403315200279,1.0686537902801596,0.9839849860903044,0.8528999313652259,0.9582804727430647,0.9660808118322345,0.9127611708558889,0.9174990947448355,0.7708233517912282,0.8361473278172714,0.9699611058486275,1.200574119558049,1.441932621031743,1.0866399320257243,1.0129794942344565,0.8367896592656535,0.9672227881546952,0.8332611668810851,0.7812249559564368,0.861751818485421,0.9512555512538666,0.9986482715942762,1.0832059505445364,1.1440569918616446,1.4116921567170542,1.3009685390528394,0.986329855928545,0.9260700237341057,0.9995538422990902,0.8260095557467388,0.8383499846599133,0.7729998301698732,0.9006287407300521,0.7756434374619207,0.6786353568904971,0.6541053682962935,0.691443992186276,0.7444755066390359,0.7036175520005772,0.7266629181875814,0.8309247001778994,0.7771672072346375,0.9795425550107407,0.8600095931583192,0.9805726922245102,0.9957072256929601,1.0805704753187622,1.219415666465322,1.2478109319912793,1.1674523016483607,1.138343847843156,1.0160145452540306,0.9062787233350696,0.7503867712813971,0.7847303770915744,0.6948366556391651,0.7078352336791873,0.7414729867435693,0.7622827548054966,0.7999314731886732,0.7110386745501983,0.7226081744942636,0.7101040220929787,0.71265666816332,0.6515438159718183,0.6215237757760889,0.7494984320966988,0.9653986508592038,0.9469208596587521,1.0802284991431252,1.14535337730846,1.25378738060629,1.3255063361096773,1.2987841826250741,1.2306755775460276,1.2015795786196743,1.0890058337040533,1.1447676987837712,0.9321367445149332,0.8185196601644671,0.8375949497005394,0.810180630274699,1.0130496346791773,0.8360666620168997,0.8135174961362402,0.9580986007153723,0.8157151293279096,0.8175411864878647,0.7777115784975213,0.8043964955227253,0.765469148951217,0.8851696274068648,0.7705566083661286,0.9874018935940888,1.2204433741256808,1.0458799090325919,0.8144948493370439,0.7611412775079562,0.8676584115218918,0.80932648732633,0.9107419799335985,0.9226123004435439,0.8678191875496619,0.8944470116283412,0.9654344699950093,1.0619996009774078,1.1917515433465018,1.2412063967425035,1.4637782348333335,1.5088905823684267,1.2353748289334114,1.1450248786599975,1.006649782585758,1.0345557398952296,1.0128147702776622,0.9735608666267832,0.9550956109166991,0.905426249556912,0.9806273565589478,1.0093137402147367,1.0993871130229969,1.1818065463038216,1.054673308258859,1.21116840142027,1.33906995571141,2.6685147139121135,1.8391611576863591,2.0891489833075196,2.231269803976409,2.216474889198974,1.6060418096457763,1.4877836226847836,1.4619044451594712,2.2001730675697204,1.9452105406139926,1.8712705088909969,1.8588925517202672,1.5762171477014517,1.5404841490795447,1.400747030972848,1.2714640785605729,1.2647059886519596,1.1748990406010589,1.136183781116251,1.1768620323574648,1.1647226986487857,1.1046083148997716,1.102252260247179,1.160903228971355,1.1542170178868192,1.1660990778419826,1.2431959300058895,1.302177691736583,1.2941525101969287,1.5093412168714364,1.4745122148339567,1.3967434025329084,1.4210002140992088,1.343187223842494,1.2628341584748128,1.3156793415159374,1.305841929437898,1.725668219942456,1.4851681096293607,1.3615009279964605,1.486612603723135,1.3933383936968375,1.3535755430422014,1.4881573931980943,1.5373565690290971,1.3929062430769008,1.4497177690145335,1.6431043988774274,1.5550324432219618,1.524324698472735,1.8101226079391186,1.962732805811193,1.6522669925896725,1.8380439889086257,1.4449241593393107,1.4629744225223504,1.4303666649272393,1.2978087269787952,1.3507235863374316,1.3106666661399062,1.3124859524124108,1.2905371282982123,1.2897324223004267,1.2031347380125579,1.16001107506542,1.1334928892814107,1.1502023518860853,1.1369826120152546,1.1211790108536832,1.2032221412181046,1.2366889459052028,1.392859222932935,1.2766917202618955,1.303862824758828,1.275390148842415,1.232035517770316,1.1921732037496107,1.277528765918087,1.242360330003419,1.2020760723173076,1.2535106254191473,1.2696950514808667,1.2532350732098814,1.247258265053497,1.3197265240656655,1.3488616067983927,1.2553857257326746,1.4581544711610912,1.5956401650461582,1.5594946363004765,1.4668830831797592,1.2874593074566871,1.7799799345532625,1.4808025776352385,1.4063766932862043,1.2977386798887285,1.183590689154949,1.2150136744284439,1.3118916495522395,1.1353245506720875,1.1836635039696075,1.1989526097798366,1.231642532921223,1.132550240514738,1.2058864611964488,1.0676822439031965,1.0367979744609805,1.0626292420392136,1.109833431055707,1.0548190864843947,1.0045456914156916,1.0638105537656009,1.035901212196893,0.9905312640312641,0.933817662812879,1.2624365641894213,1.0765871108318033,1.3180871067400703,1.5327014516504633,2.6902885471274356],[0.8658263232796929,0.8315666947259098,0.9971510790937079,0.7207350107264365,0.8716690029021806,0.8080534272162001,0.716944634818004,0.732110481660238,0.7182374195258273,0.6434673439589708,0.631705930399225,0.7053945673036388,0.6931995985263134,0.6182703697912422,0.6479183149891272,0.6897523469571664,0.7204564739064223,0.7569942481483728,0.8661793786047072,0.889959941122239,0.968599104281582,1.095841220137964,1.3984804875803396,1.4147500431681022,1.3356466904015576,1.0417304262885432,0.9454689996603095,0.8303521771058359,0.8039865879790464,0.7457944710905773,0.7171134759916484,0.7236255283484923,0.7409527912314975,0.734856078435374,0.7634610252016424,0.7990051173118607,0.8185885123359168,0.8731916475655638,0.9196895593539808,1.1431946125945671,1.128452797936855,1.040732188611579,1.2217791719896558,1.5933963246550904,2.123409723609546,2.7540384687950508,3.8019099747742167,2.983698804760175,2.7175377429386223,4.075480435966874,2.912313771509696,2.5765884630017872,2.0500022128776494,1.3531915954093325,1.7642415049288351,1.4537323239458821,1.3130657981030271,1.3712592887208672,1.4629814009712567,1.445144861186976,1.1650944657181566,1.0575749011302682,0.9310944887083638,1.074755722641729,1.0708084688602502,0.9874289849060248,1.03574380408458,0.8432515033855074,0.9278294043786829,1.0388943383581244,1.284182008239964,1.5379803621068209,1.1691635575360226,1.090270098380804,0.9063761341319043,1.0542996206331152,0.8970778357191204,0.8223158857221645,0.9041184151119569,1.0011418322381878,1.0350825386062603,1.1234824149513534,1.180883794335331,1.461907116073405,1.2974939577565086,1.000052450900791,0.9559454633584895,1.0127577715380531,0.8569602681266834,0.8390915895753109,0.7927976786305395,0.9664906731369018,0.8187649367283836,0.7073197342496638,0.6779945567301843,0.7004081856011055,0.7411094178584735,0.7109060097955849,0.7444554519029984,0.8571114355938799,0.8005338068186298,1.0070625212741113,0.886972513395516,1.002907530963136,1.04165483315133,1.1108706204650218,1.2637017241346278,1.301623345956937,1.2073061711340545,1.144970261371235,1.0330958915062278,0.8985823051697197,0.7572259377319583,0.7669972900202954,0.6970241731117787,0.7262700544224041,0.7653352309509007,0.8126000912926981,0.8722661722830563,0.7612281007539959,0.7698313990638567,0.7384253172813602,0.7398468177201138,0.6619666934438291,0.6354061549618074,0.7246356088148076,0.9386369822915622,0.9410177512377313,1.080507111081504,1.1601376107568295,1.2748791540418964,1.387818959977242,1.3468943453808264,1.277628158283857,1.2082326572110509,1.0712553514257357,1.0908777847384667,0.9131867132589035,0.7914474410181547,0.84162134088636,0.8756473106859591,1.1192374599862838,0.8904192377209814,0.8457652106234503,1.0002912963189932,0.8160986121270389,0.8037049283934676,0.7658523902607087,0.7981553522690806,0.77960743900234,0.9019029688471643,0.7898812857820078,1.0259095398720295,1.2499634147831111,1.0608031925194226,0.8428276063598106,0.7849960461925115,0.8866872984277211,0.8284063214777085,0.9337689086445949,0.9298965891754165,0.8707068926796615,0.8982896174879783,0.9855646101824221,1.0896846538425107,1.1990055634027346,1.2732961485312375,1.5048107079940707,1.5082682106172611,1.2234609959214846,1.1364605695580796,1.0085668689206524,1.0453169972473173,1.029218148359892,0.991658353925038,0.975199373217462,0.9226715549032344,1.0008887466955458,1.0417864264924508,1.1295472572044425,1.2067916997652086,1.0821938866327914,1.2707117600636546,1.4310290324377617,2.7063450321866442,1.8177020698844613,2.0310442232481685,2.246288677155735,2.1837198676483967,1.6216176353507714,1.5156810765981694,1.5331068127006624,2.288653104523076,2.007025087665915,1.956856635634795,1.9767303336666107,1.6116861535519045,1.602096817980221,1.4603777035710432,1.3240825565267462,1.384008378364354,1.2752069707029237,1.2039845949785404,1.2761149331314867,1.3062897105322466,1.2185409390737139,1.2074574378696343,1.3129233160111504,1.3148574745115043,1.2953829599677682,1.3986313204538618,1.4842797247616526,1.4488537548110096,1.6754474507151427,1.655104616058369,1.5705472151173554,1.6142262578942572,1.5702820400594864,1.4779183674770884,1.548795500566786,1.5755817914548018,2.0357453398115157,1.7535523804244342,1.5975504854521276,1.6764855318155718,1.6262732396159043,1.5582034370254434,1.7204222534656126,1.7684870709920701,1.5934254406000203,1.6427180821602279,1.8975395287943397,1.7603169099192093,1.6898472180354693,2.002007162388088,2.1763487128295087,1.8081017920447524,1.9112621422776916,1.5605789026681036,1.557994862238897,1.5731390982195337,1.4652092710981508,1.4797588620726032,1.4632336759000002,1.424423959579728,1.4053447660666807,1.4418433536920428,1.3382338322552194,1.2598136041272676,1.2709768555764747,1.3044229650818826,1.2809551004412967,1.2705482435058149,1.379592248550061,1.4165014812666508,1.5359095828273284,1.4740421342879846,1.5142238218289,1.482277280089839,1.4473635573386132,1.3805448534490095,1.4792550233747086,1.476548816319457,1.3967655099065444,1.448356304521508,1.4937162747371655,1.472809172786536,1.4201802292676056,1.5444030970901756,1.5983689290462153,1.456432856387963,1.6217265773698666,1.8584639502876696,1.735161562884389,1.6358872040694095,1.4405521601895124,1.9291423758822484,1.5428887484066125,1.6341556512890543,1.4690222055891011,1.3444554071453485,1.3273253969802248,1.414127134770637,1.2300323935458872,1.2597969618575253,1.2566407515090177,1.295403678456671,1.1687726929883708,1.2350460139281507,1.0723118324097192,1.0950199079597296,1.137479918349838,1.2255094543988183,1.1378610758703922,1.077655063259154,1.165706457320391,1.138690825971347,1.0337878518075572,1.0023728326132895,1.3485294046840755,1.2227228667604029,1.4170644777367076,1.7044319417370233,2.9416233521954416],[0.9942512662141421,0.9581871090188299,1.21144555701135,0.9125783073290548,1.0864139227368887,0.989067063777539,0.9346268618579708,0.9584808990045767,0.9337144305601143,0.9116330835945172,0.8997345348979835,0.9421650018642271,0.9966385724958295,0.8949874285499774,0.9443102778215006,0.9853464698134407,1.0115701435567352,1.0373048291365554,1.1368053315269684,1.1601079658714915,1.1792881151521526,1.3594768082054005,1.494342659330915,1.5079315908987148,1.4395845782083303,1.21888134123477,1.195543304529817,1.1076830621891534,1.0993042481254056,1.079718061520325,1.0179873374473747,1.065751322952401,1.074214471680747,1.106702033073495,1.122899644066329,1.1460643503105314,1.1846841714336764,1.2300941577684288,1.2527986412826981,1.4709650057314894,1.43003195409889,1.343880662507364,1.478964670154203,1.7465364002477684,2.23538292618168,2.8162433869605645,3.7235803453685477,2.941833079983976,2.6499234647171064,4.0304137199748356,2.913730153391441,2.628053010633107,2.1950112733238143,1.5399728073098282,1.9128916957797701,1.6831214854020962,1.568035987682303,1.6367213997989487,1.734629036493854,1.6794617477918734,1.4405063511468181,1.3623089767721621,1.2365763463955308,1.2814561756366198,1.3302047198068705,1.269252482254364,1.224829206507071,1.1223298746939843,1.1178260697012365,1.150088706668185,1.3729172491096593,1.5750167700474529,1.255091933506088,1.2809294409987706,1.142309292955744,1.2567884744714883,1.1940228484810986,1.1638686220215162,1.2457550943653417,1.339334658195195,1.40890155744691,1.4607509553344091,1.5612776873052545,1.7579408065745232,1.5711970021174386,1.3476863513284614,1.3101630457999205,1.3701972649254892,1.205983642360644,1.210545596489197,1.137849952757389,1.221302727715856,1.0836368180222247,1.010112387960607,0.9799932840909531,0.9774205253805874,1.0133144742980846,1.0041949814612532,1.0155505421983972,1.0796551939585914,1.0837521952750175,1.221334944653474,1.197420074039191,1.2740371239788544,1.2507095637122299,1.3638578637115362,1.4466764939299892,1.4785766996771335,1.37818920907423,1.328380043620093,1.2098495857784544,1.1439983629078319,1.0209710802919048,1.0634276785077725,0.9736840697630871,0.9905674884271634,1.0378104370682495,1.0495668970421133,1.092534066917787,1.0058362917059807,0.9957556344401837,0.9439044636499765,0.9386038813604646,0.9197601108512525,0.876140093680072,0.9864595627516344,1.2174726217527214,1.1794943760705021,1.2813265794810507,1.3681464247455013,1.4680096385300079,1.5637480084708826,1.5315365500134637,1.484830079755258,1.4180010328664108,1.282476451113784,1.2690534328719085,1.1222136280937693,1.0492701372651247,1.110117475787196,1.08996159467825,1.2889125493736895,1.1182101337733066,1.109207789652791,1.3001829040177557,1.1504050821161402,1.1318578855536696,1.0816005465247727,1.095296488457551,1.06810999655502,1.1279241206627406,1.017568481458875,1.205606556823476,1.4323126937420203,1.229245146475798,1.0854594849646144,1.0466006269929198,1.139301422634144,1.0923983299734237,1.2047476695643946,1.2078916853112405,1.1978251934015312,1.1975642568238418,1.2605593482667827,1.3205532420127921,1.4468373974487603,1.4865307729660728,1.6593860768275968,1.666170998570407,1.387379101413525,1.3349727521092003,1.2280646684978547,1.2923822835120455,1.2881327942036405,1.272454869664378,1.2562379507870431,1.1859059623519097,1.2674347603358,1.3256813583898202,1.4026836337599606,1.4416697682243536,1.3292209147730687,1.4691926752652515,1.596437245808621,2.7873835766471777,1.8854301928442918,2.1060758075872643,2.3645296956715485,2.225719181140644,1.7712464393574052,1.6618185209432772,1.6966081968408293,2.3669190522006858,2.0945502145622004,2.097464624984942,2.1658770279815824,1.767262052763236,1.7278640051995797,1.5640653284524975,1.456409718655213,1.4728348084427216,1.3930766488220876,1.3271670130437878,1.3524298839313267,1.3656203667358027,1.3019973319681473,1.2885098768995882,1.3689498265818456,1.3603301988788334,1.3618986581805914,1.4496719475525912,1.5071356090384471,1.4787884902319632,1.6416913112223637,1.6697476405763858,1.6279623733769346,1.6402828196577885,1.6163021100890942,1.4886010785835382,1.5404868345618214,1.5063446618084517,1.9688160075199983,1.699644241247721,1.572049702884131,1.6335061679709482,1.6096553086526875,1.5838456839381934,1.7378877816434162,1.7312137263138465,1.6205951022172516,1.7007700615312293,1.8872213021905921,1.7675803383566184,1.7554913715992535,2.047651981595169,2.191093836038646,1.8241258812433854,1.9858282662797524,1.6212227985719885,1.679586921837978,1.6723612508971466,1.5508410958586425,1.5810966843530052,1.5825016172606796,1.5483041190681917,1.5165240253933674,1.5236344095678764,1.4272071010117788,1.346510351382053,1.3416201250648356,1.3587656520660651,1.3362826700992898,1.338552464233418,1.4130947216014977,1.4279537054429716,1.5222734845951822,1.4669501079333207,1.5058400647330572,1.4790898215015238,1.4641854194222326,1.419500369451529,1.5088140460241841,1.4603703201346814,1.411109649732547,1.4664802712332412,1.46135817431577,1.458588100147834,1.4408084400589867,1.51655396389304,1.5184408314347886,1.4464007525435822,1.589616326566322,1.7787656765565365,1.61345187200446,1.5721187009432156,1.4787765744162285,1.9992068687240345,1.6795335386003591,1.795326805046761,1.5934217296014435,1.4298840199264464,1.4325405232396788,1.5740352501780859,1.3769275581491054,1.3377981209542027,1.302621913881208,1.327172660128483,1.2783000104315858,1.3622753917205204,1.241233587759797,1.1919112590712795,1.2574800109318858,1.3527776828968712,1.2813823110811988,1.1748981404105487,1.3172193283984217,1.2958838670470427,1.0713462517818817,1.1500240707842901,1.5304073139439376,1.315948874172634,1.5466228468814152,1.7297733769236485,2.865423821302074],[1.2392338711484254,1.1400037179259845,1.310665004620687,0.9398481948696387,0.9972586797501001,0.9461566886943814,0.8367858206587236,0.8494667077350636,0.8403255927858638,0.7776952512976393,0.773871602094378,0.8314092798641185,0.8439375569606109,0.7485872494315052,0.7870099790708235,0.8307890304047624,0.8567108914205842,0.8758606936211007,0.9578611071650545,0.9817388474729614,1.0082258541924434,1.283778026512743,1.2702092072961824,1.326978209306768,1.2355273656419956,1.0312074635967994,1.0021764972080007,0.9385176831121896,0.9417131602022445,0.9229937702355157,0.8591795232638324,0.916026561080224,0.9350640219243762,0.9334104342252326,0.9539984380725376,0.9751875353345578,1.0269590721884438,1.0663158887659436,1.1034394694824126,1.3111187690604167,1.3425787926690997,1.2239997736116364,1.4107344598566813,1.7486730087481646,2.229944010636771,2.88658268117606,3.7053242112436306,2.8548431124526794,2.7878371004599742,4.18615472528863,2.9224634366863476,2.690123091334239,2.0322977040893373,1.4034471779333677,1.8475564775897804,1.4884898356317966,1.41703276255211,1.4882571192847318,1.587525411987992,1.557492371679634,1.369342754084784,1.239012460434458,1.1004711231589566,1.163805938267444,1.226303740471461,1.1200382230874968,1.0219036161718145,0.9281731238974429,0.9381835913223417,1.0380692995596998,1.2334116236953363,1.4271944600179642,1.127226157734886,1.0838599927264672,0.9334027574751573,1.0699269924025618,1.022797705284035,0.9866972690109156,1.0913802900148923,1.2039664980377873,1.235380843954311,1.3361668586414168,1.4101448308979718,1.6684297889327289,1.4616190815673615,1.1978908181478192,1.1297885324594457,1.2157530427855434,1.0290927091017188,1.0323326991842645,0.9399041389673201,1.034624111598298,0.9251176356305459,0.8583849621698365,0.8291581833923095,0.8356053817785238,0.8938819307970215,0.8741216537453269,0.8962158562977341,0.9675240629291014,0.9438147612473757,1.1037907288687152,1.037486838038521,1.1309728409149458,1.1739839503632197,1.2281662273411738,1.330315949797549,1.3701363277457632,1.2434707783442054,1.2009780138610098,1.08054500079552,1.0198596378410134,0.8800902634026886,0.9266015489306605,0.8284991415758888,0.8409523384245478,0.8694866547794361,0.8735608982764086,0.8781312242365277,0.8415596707637196,0.8100337011133194,0.811074482074712,0.8043034453768263,0.7638711870723615,0.7426846990886525,0.8598401982833059,1.071861197490507,1.0578896051611135,1.1652128304507396,1.2826325019016969,1.3880913623547746,1.4910286523952119,1.5310448421674299,1.4418125368093084,1.4115527380872581,1.249749736572156,1.2507100150899084,1.0739566136787833,0.9475831960148099,1.0047890244477138,0.9607438046614011,1.173397133849704,0.9894677546159543,0.9826262507161901,1.0815340918251901,1.0032848031409722,0.9755524107274812,0.9475348806848312,0.9573146112475415,0.9136703372168627,0.9901262287229344,0.9011812509175537,1.0869651843647592,1.3375214127008905,1.1338500006778185,0.9545692896629906,0.9118652065381577,1.0042550725740433,0.9698399512067453,1.072130962097394,1.0980586101550245,1.0680992928851083,1.1020083182855949,1.2335274132327,1.3787718354247989,1.4051983390999394,1.5617943890870687,1.8405970530367897,1.8361152590436367,1.528919227434714,1.394995433630007,1.2326066674021081,1.289074457238658,1.253502153123956,1.202356855482318,1.1565722696185512,1.1006622116755944,1.1833889732844156,1.2480697694797498,1.3079443144652556,1.4100204317588674,1.2624210914874248,1.4925192198863058,1.6755050403267524,3.1149697259516276,2.17919394351266,2.392150638272941,2.503178024472292,2.588305198221495,1.8763628005338446,1.7268146591726798,1.7350396823051908,2.5760150242943722,2.240460493624205,2.0702080883198493,2.029854419927561,1.7343908189438249,1.6509468008479284,1.4501010830583816,1.315625891265228,1.3069435596617958,1.2328002720508178,1.1797318749825774,1.2230983651250649,1.2541582439815975,1.2296119443314961,1.258486042568359,1.3622596512518146,1.3706185468669327,1.4308164874243035,1.5776150593390608,1.6592547334849885,1.6099626061541739,1.7870239461192443,1.9097352096534448,1.8369311371812684,1.8777987930533309,1.8067379751931538,1.5855061352814583,1.636506313777718,1.4812513449678824,1.9472859843312385,1.606801142769025,1.5003156877974781,1.5300005569314379,1.4256064662096577,1.3633986308832715,1.4992492598236358,1.494038521942604,1.3952164650612964,1.486267889139126,1.6528238242142392,1.5529802327621793,1.5662024233216516,1.8898044918463233,2.005110863951767,1.6597209806468523,1.9092474519796743,1.4762990280015231,1.5379356465884326,1.4886428896550596,1.3540443644602131,1.402699137902908,1.3809104648606711,1.3702609434041237,1.3540653713516428,1.394287520035993,1.2854023757780761,1.2065744949692632,1.2409976874360482,1.2998790729616927,1.2914418341222482,1.3262222369147125,1.4081596578328166,1.4651246717998228,1.597213881790678,1.5686445865676175,1.6033334028482598,1.5460465846238773,1.4277509938741793,1.3163600619594464,1.39125182326258,1.4064074843407033,1.3755148006243005,1.3156367082446752,1.3601007500335298,1.4116098364599579,1.3070413575185864,1.3238345652067154,1.4328398997377205,1.3468914819007805,1.4179146277312926,1.542687119178665,1.4842016635656472,1.465309286440526,1.4675323862914835,1.9818931745042208,1.908439199006731,2.0182413684315548,1.8673192836546206,1.5533910686219619,1.5797733681131365,1.7988308945696954,1.4716338963485385,1.3727020786651645,1.1850568569696864,1.217311670986274,1.1606383947687726,1.2283005939844598,1.1066864646481,1.0906791566332918,1.1296108608752884,1.2494988096356339,1.1747123993749615,1.0621095870207047,1.3069355693521172,1.3055810521051836,0.9825531222801568,1.1984564548914987,1.6970901662471756,1.4233116850520746,1.5782927247371417,1.6920295763633353,2.668301342132091],[1.0351561996556191,0.9338009023670677,1.1313100489658257,0.7943103332881617,0.8808212064428463,0.8452946965363091,0.7752075915167307,0.784245973402151,0.7978852072585426,0.7632832734027836,0.7585742869419148,0.8167826852959448,0.847701099392524,0.7601288137408632,0.8145983048907338,0.8669978474896441,0.9049028102673652,0.9155596150952529,1.0110784125855188,1.0123605000915956,1.0288050426917308,1.3110343842619834,1.27761814468209,1.3133574678312565,1.239986374871398,1.051045210977681,1.018727828727565,0.9740959272312004,0.9814169556848524,0.9618623484368808,0.9037596816966597,0.9573127779442977,0.974698416958877,0.9680862147409383,0.9935402311789893,1.022329450863599,1.0477017508585673,1.1070001561170906,1.1388506067345883,1.331712511712282,1.3699034903308245,1.255141962395427,1.4321904975020068,1.7264767303828852,2.209079556229305,2.8805655585518406,3.6639169904244135,2.796082069364409,2.7697825732817734,4.17081582812092,2.8745755078439403,2.65320175036869,1.9901981011542516,1.3850203326559365,1.829894530227704,1.4663061406468438,1.4196774358742674,1.5337155008808958,1.633852544251952,1.5518515910572857,1.3948624810591768,1.2736015427299872,1.1260142179085373,1.1904833409818967,1.2497009924992204,1.1580008262287074,1.0397420485484419,0.9578979245802614,0.9642916741637239,1.0480598040020128,1.2517082096779795,1.446202816119561,1.130748573324165,1.0989687384861504,0.9589082081792896,1.10644429969653,1.050120692353417,1.0221712785358523,1.1345229517494784,1.2357705055366202,1.2476414619336271,1.3630998079070207,1.4501911766897027,1.717855903875959,1.4986300547554001,1.2099284747042776,1.1474400386572359,1.2581512528017786,1.069477616394278,1.0697244030681983,0.9796915136586803,1.062241687092126,0.9662359407964453,0.8923717527260524,0.858389092736082,0.8589583525256259,0.9029398357233106,0.904610879097295,0.9090545323532597,0.9237760593334906,0.952222539244809,1.0916840386249702,1.0597094836699668,1.1274405213580105,1.18548596854189,1.1848804516274045,1.3110210699784226,1.3430339742873045,1.2130872864514926,1.1604600394270481,1.0432454841800298,1.0116423974562114,0.8661646941009317,0.9447200296641778,0.8533671767060539,0.8815978357209379,0.9012919502170917,0.908714490624014,0.9043306636195735,0.8856785764752485,0.8545823215289143,0.869148146334601,0.8628909456081478,0.7947951831333357,0.7399812836811994,0.8639963833336171,0.992714395344512,1.0634524253691955,1.1692900994063564,1.3083382884977055,1.4064736312246213,1.4927734569221676,1.5718272013656063,1.4706441111314963,1.4640056317666748,1.301774750267406,1.2954803371554973,1.121432546804707,0.9776103446312513,1.042426674334618,0.980026516674803,1.1755727138686485,1.0177024075041097,1.0227160741984986,1.1072381043204036,1.0486785714306133,1.0196626823510593,0.9793684195896499,0.98756761989388,0.8982988625260396,0.9577519341281427,0.8445690228657536,1.0817235876857767,1.3017703940638505,1.0475192730456968,0.9149063419176602,0.8975808243083989,0.9825375902665673,0.9984473283396581,1.085565369673663,1.1381884686495822,1.109953983169456,1.1539739695566107,1.283929125902777,1.4049138093700722,1.4195769198261325,1.5826096788885404,1.8363006987365402,1.872576394399637,1.5644236388786579,1.4414885881676904,1.276056406218005,1.3319383404020804,1.2897581528346336,1.236564482935047,1.1818047136446266,1.1400547687531035,1.1993182057395027,1.2797677715896738,1.3237646572013366,1.3945108334672602,1.2854310037886723,1.5523598984846834,1.7586586449276318,3.274025417041739,2.278974322281547,2.4672450020250793,2.511281807802502,2.5831951652498186,1.858607973846206,1.6908004020300396,1.6796093068969196,2.6480317646870133,2.311464344093914,2.0827828810502877,1.982804316987891,1.711256675298946,1.6229676944912774,1.3696003192727408,1.2595613066205942,1.1341477229954535,1.0532581644182342,1.0370153028353337,0.9536742441752853,0.910470867022463,0.8999733487141293,0.9149895224853457,0.9067824530062305,0.9031022469541182,1.0229568038005945,1.1308621580408362,1.1477280586595942,1.162817108436891,1.3829992765605807,1.4423069621415214,1.4043833559202974,1.3319421628612274,1.3000419634654434,1.0489247495477432,1.0738752415916697,0.9624384260263639,1.3834943443562493,1.16709454964511,1.0240388666878895,1.0632237713249049,1.0791432888026813,1.2294323148760051,1.367397434221353,1.3782913234970262,1.2673860019410914,1.2919646600977739,1.419418778932453,1.3125064163920739,1.3986085712599015,1.88783373000306,1.8548116545996234,1.4649020675898825,1.9074108192651413,1.3150063210291865,1.4612184107993265,1.4056474876085348,1.1832641871690217,1.2543460179022687,1.1466657519301928,1.261097124399737,1.2067951758556539,1.139993069350707,1.0766911782030761,1.0596352527006334,0.9255263745075143,0.906420781376303,0.9265373904480866,0.9208203208767723,0.943198705258292,0.9703172467220332,1.2002316125316754,1.0400762256868197,1.0245124879314074,0.990801727554478,0.9257530826300195,0.9356751230198441,0.9569090937311102,0.8871473898595073,0.8916739800131686,0.9730759101584094,0.8940611608337306,0.9094792849014611,0.9012696674837809,1.0590569289902696,0.9951911402143566,0.8998732034222326,1.1722629147115342,1.2631909245050226,1.2065755923818136,1.1087407312572921,1.0474904424430493,1.7536107265212615,1.7762683406779987,1.5981564158560797,1.4992151005305758,1.147469081822499,1.2408229846433039,1.5830622919497008,1.2254139896762655,1.094952872950431,0.8613096671671351,0.927380968276124,0.9957238989893138,1.164783115422141,1.0404304800093536,0.9391624122885782,0.996671075511396,0.9962274399171663,0.989999725871015,0.9552566051642518,0.9770208155605858,0.9608727178509072,0.9891036503103243,0.9581100842941077,1.3086861574092779,1.094875068389554,1.4270257903759243,1.570120116609673,2.6216551052889496],[1.4498591641602776,1.3977083061954558,1.528312072617976,1.164526136208771,1.2317815222596071,1.2229173045341835,1.0958920934396161,1.157179731992682,1.0786532223056355,0.9778613877334453,0.9714488332622512,1.067200703980968,1.0445463790011191,0.9346523521142942,0.998023578772721,1.05512023093449,1.072708125448005,1.0881477736238172,1.1881213148583167,1.2057697417261466,1.2648747319242384,1.4440297056669134,1.701561077063604,1.729354564906488,1.6423099390299867,1.3191081868015202,1.238320871769825,1.1578891276634666,1.148398681665954,1.1459299936153988,1.0831714232757066,1.1753747155348304,1.2064892709115926,1.1853653341571877,1.200976790170988,1.205896574401111,1.2532351405127817,1.2641254943421871,1.3018003890250003,1.542708606192814,1.4814774777689377,1.3677042063217675,1.5158591432541133,1.6936670700043066,2.237903405360146,2.9148370051911385,3.8310128874675997,3.0334336974326117,2.755396763045454,4.21851694955667,3.014945777377586,2.766971780618953,2.1495257005787614,1.6055710682793793,2.043160494447201,1.6852624139619905,1.5328833702257008,1.6373368130063115,1.7389184613553954,1.6806191856349213,1.5215750814725304,1.414732539868115,1.3040088564373225,1.3753339972224539,1.409345290757191,1.3370325139620667,1.2688792765049237,1.1481281645019354,1.14397404687137,1.1649344201854424,1.3876648179915125,1.5829419694529705,1.2461115646858982,1.2828935351655062,1.1274608429819013,1.2472172125488417,1.2196907763740015,1.2039854161751633,1.3155414155496659,1.4086466003403024,1.4464335169567644,1.5534092018227066,1.6735787398262756,1.8979906279548697,1.6334570956845524,1.3954341210629266,1.3229011120059753,1.460665936779573,1.2487374330922494,1.2766815141459786,1.1648012027278345,1.2223690974062449,1.1362527150834838,1.0860034434801171,1.0505876079860583,1.038646796529033,1.075548467975975,1.130494497490746,1.1695546072375826,1.2799328642193577,1.248051175683166,1.4421715393670087,1.346476068336421,1.4789857768476344,1.4987384907362744,1.5294672522430452,1.7545813925649798,1.7595208478188347,1.677079103502536,1.6036759995267493,1.4673395441214292,1.3058834694500028,1.1482061214514852,1.1309213467395234,1.0260170704312297,1.0434323290852774,1.0820078846042267,1.1190186458029594,1.169148987758634,1.069052352246854,1.0507825468970093,1.040420364188913,1.0352638240860175,0.9500936694740763,0.9294903616394328,1.0391778714233597,1.322243646113759,1.3288241845791982,1.4865280045326312,1.5928638940346311,1.6868793213069357,1.8407557972924884,1.7865090942721769,1.7343875530139152,1.6221782182935445,1.4393403957940887,1.3850930659535539,1.1981797908242147,1.097808247506463,1.1681745872666083,1.2333800614629555,1.466853172070972,1.2374099967190824,1.1766858688355906,1.2890812782946524,1.2046507661640395,1.1739305702550682,1.1534563973204177,1.2233299635728694,1.1731762226810538,1.3335891939465392,1.24489109668099,1.536672303641832,1.6945064268578611,1.3702622993614824,1.3113085095951509,1.2266282998192566,1.3444976058250415,1.2780270382864436,1.386247067725867,1.3334808739620916,1.2889984981409506,1.2895934508807518,1.4282630509249254,1.5394115907883994,1.5437252945950026,1.7051001013796196,1.9374018099855514,1.8859786776883545,1.6176136926947573,1.5168174734701687,1.3788377350640473,1.4692435989904833,1.4617151255464065,1.433789440020445,1.4215330238446575,1.365856261802167,1.439341291152017,1.500145052843253,1.5659166516020673,1.5975350861774573,1.5310944521313923,1.7781853103815521,1.9296121345791604,3.291260901516246,2.2121723827635713,2.39854459477713,2.5858853283407477,2.534770062537781,1.9895910065319957,1.8904792766239156,1.887244908735446,2.691842595890479,2.4255350330622365,2.2610271934717145,2.2238036266234325,1.962526775198317,2.002611555447934,1.8883993215364256,1.780631839776376,1.8695310974789698,1.7843421959987114,1.6941226504097764,1.7620270157869762,1.8015446734328606,1.687158327809863,1.6445369646944177,1.7751878112248045,1.7644031855510645,1.685939069327471,1.7867634631047105,1.8376704660412295,1.7873935914894992,1.8799536284204759,1.9667932970381647,1.969638492546546,1.921208993485853,2.010109313671382,1.9053733531162806,1.9645413935674263,1.9884224820590635,2.260780556393913,2.1799552694440147,2.016526505561218,1.9809924252265234,2.033525899013909,2.1042783813652637,2.2355633393731607,2.2789059056427625,2.168016970000187,2.0946840403385645,2.2153629469581864,2.1436058798460995,2.1363819226214367,2.4946096237529143,2.476616344397523,2.163147573553275,2.327337936264192,1.9820781111646661,1.9908504655745394,2.0836428471514914,1.9810693968891102,1.987411253092459,1.9693291729099212,1.9807317730778766,1.9293929452492347,1.9579977073968546,1.8843486695467613,1.8061446919534967,1.7748939750335488,1.7723199134796481,1.7351165639079766,1.7212311484143192,1.8502144414650976,1.82005175526135,1.8737806216125383,1.8526942157231665,1.8822171648836423,1.8817443980985034,1.9210808555287475,1.9100824006990011,1.952986283148899,1.9309398028424694,1.8598753822577299,1.9810798602258457,1.9422722968994186,1.9315361821358341,1.899187093935912,2.0636339780587685,1.9502657934858356,1.9334096120096174,2.0751749739505825,2.2248600023631497,2.078627606941195,2.0319806350337295,1.9219677238083073,2.400159958252803,2.2076615539711115,2.2543983333506525,1.9554775725257594,1.8126180779206211,1.6963681478883637,1.8233513046891632,1.6854224266743565,1.7320186888176377,1.700038658805504,1.734962003392813,1.5673425567860995,1.6739065557357033,1.4439088195159597,1.5135066937818524,1.6059028387450633,1.6900958217339197,1.5899813962558678,1.535744761866696,1.5800317087401925,1.564451659668854,1.5650615547680686,1.4540110163035653,1.6365212175351218,1.5842525846339213,1.78496107201801,2.0438889821384003,3.085100191926955],[1.6218847257616673,1.5126963746321813,1.703938531278939,1.3900129701396815,1.4656671838511892,1.445586526275689,1.3846417654110443,1.4427351889377207,1.3848716941008765,1.3579557478737594,1.3536411029774686,1.442132381896718,1.4404094237371328,1.339653104178094,1.4080068284772875,1.4739909475397335,1.5260068167359342,1.4961733781912274,1.538474180774924,1.5513593038722606,1.5391736735400308,1.8903083105981686,1.6068903351993944,1.6533355765491906,1.5623641156046453,1.5221091182780744,1.533554920809377,1.5155211985147738,1.5686736148501,1.596841862656492,1.5326039244024485,1.6180556680005496,1.6337145165252795,1.6381968743539845,1.658204619586994,1.6483734054452823,1.6954711869897743,1.712520798221797,1.7325191329347411,1.8655677191076054,1.9185968075288056,1.853502685257917,2.0325773156138296,2.273909576080593,2.632927214554431,3.1641621050966715,3.6997461149923385,2.9356555468340817,2.8894609223479937,4.174358815664212,3.0490546515274515,2.931692958511107,2.3256950093156212,1.8633752601372555,2.261165183544092,1.9536059010236388,2.0033899552267598,2.1325789567902094,2.2090558874235064,2.1037898994503546,2.029937024289492,1.9170838825788514,1.7338873406129942,1.7766352379804793,1.8543698100029042,1.738797290401537,1.5177303541028884,1.51034142180131,1.470423076397543,1.4806713757502252,1.5398181993910725,1.6719493184298027,1.5043111694858853,1.5419774712885297,1.4955893683862012,1.6251691577572573,1.648827159407998,1.6718369768204548,1.7835745081501657,1.8666489327887554,1.8651190307142138,1.9764649832927759,2.12873501461992,2.3335277033779085,2.0046180111187963,1.8126399229950696,1.7417790415642749,1.9052736146442117,1.6962747432949485,1.7338110775626234,1.6013464743249222,1.6025700715919207,1.5445889918168791,1.5188701564691613,1.4758618282630478,1.4497302577264919,1.4335325994751287,1.546596568667685,1.5760812513272693,1.6291919412819376,1.6473885665646482,1.75806756435754,1.7421969967508601,1.7805758766152233,1.838947598971707,1.8065411265114015,1.948796656326122,1.9617334552467531,1.8151911262915597,1.7613017427864615,1.668431223425987,1.6681173451540967,1.4966461060674001,1.5609240261550785,1.452282164069433,1.4222611015474433,1.4188567492509074,1.3878989795674581,1.3974011112184497,1.4185403369007143,1.3706483565847578,1.4187567234727334,1.3723865935799588,1.327625039383009,1.3237718580942286,1.4664115663882986,1.6318907873789161,1.688237657593286,1.7828572032121217,1.939374436522106,1.9940228485041145,2.087902015886963,2.1757554138462893,2.1115603421699443,2.063634210818226,1.8913979696357481,1.815524199146582,1.645796497564872,1.4753685397801206,1.5694270423169987,1.4370594265045264,1.617338512832736,1.5267893208736139,1.5669219436787467,1.601025695063093,1.6607681303919575,1.6200222217295925,1.6059038048007783,1.653732509087341,1.5331137754481308,1.6286740046867314,1.5366864300018335,1.7423439196525077,1.8375641237396605,1.6476115698145444,1.6159811536004174,1.6010084401504283,1.6682499318844133,1.7050303487574574,1.7746390196633508,1.7795247897390276,1.7647577818620959,1.7571731368755068,1.9150632486490733,1.9774917829524499,1.8864924007245396,2.1100446659006353,2.301421648316273,2.3136190999588484,2.0100107459452268,1.9654447609807222,1.8306997317406706,1.942945864464774,1.9333305235596112,1.9005177147629742,1.8623553586390458,1.8445785866872941,1.857361650083982,1.9491856913464174,1.9803581572961957,1.981664416967893,1.9431973996443146,2.217725118089369,2.4002610091793284,4.002615566922724,2.7914682476219284,2.9390816851633725,2.8397009902968438,3.0296843546360206,2.311484402976152,2.1903043833985936,2.1799187540589853,3.1928966598591426,2.846492009850971,2.5467925550170443,2.439489818209049,2.219410281275448,2.136925270544155,1.855279772630679,1.7899102518119208,1.6289728764956597,1.6079884990000353,1.6167226395291834,1.499748031699029,1.4519668433525745,1.4672076638184675,1.4811631700350651,1.467637326253436,1.4425179369295158,1.5020485556105598,1.591827978889573,1.603277089839608,1.5724059506631907,1.7287531683430013,1.84951715810376,1.8453585663820817,1.7840943975212706,1.8871130321014609,1.597540618880722,1.5865807909881438,1.4157312866882676,1.8247754059545167,1.4432608787029373,1.381683519382793,1.3722361979016062,1.4300692767791727,1.6017332041887895,1.7108180300145959,1.6375534206208058,1.6319371902854278,1.6712271687013054,1.6701067374302032,1.5627584897168307,1.757858514359992,2.2486978698738427,2.0428556194516387,1.6525709377306146,2.290677321730426,1.7176706739227072,1.9242397526054347,1.877534863877637,1.6500247362352878,1.7449319465847022,1.5973692188916202,1.7811442280923384,1.7343004219626401,1.6269165988231202,1.6092770694890282,1.6502182623160238,1.4815570076778344,1.4526490447825433,1.463524193517016,1.4586499011183154,1.444771291063761,1.4576836951522678,1.6585741771258513,1.522695699999268,1.5147292461488897,1.4733656075328434,1.4222719334929685,1.4451796122197778,1.409999740863533,1.384430609508314,1.402435191192733,1.4406158029760876,1.341212374837248,1.4158450369309252,1.373244473620144,1.4091576886868384,1.4039251906720798,1.3986239236053526,1.4536108377946677,1.4329056393596507,1.5065224590657535,1.537823778533256,1.709276310351978,2.3799386775465012,2.506162536561512,2.3721338695290397,2.069145603900183,1.7090729058092273,1.6790582684874558,1.9403256458072915,1.7552884572679894,1.8199867314308074,1.4942778294706092,1.4571455389454733,1.5691223603606292,1.7180435103457765,1.6209099145951267,1.5097666816430917,1.6000160620357513,1.570111972951143,1.6480587371236217,1.566153758638133,1.5661582812580603,1.5523144816309526,1.66506584054841,1.5501913299937837,1.8687430902021067,1.7171503287454968,1.9039508719701053,2.0712244345511803,2.82704877929007],[1.3469472968663327,1.2509307013529312,1.5017540219585888,1.0868312436675354,1.1877492356359078,1.1476674324563942,1.0386962766509875,1.0469316747244775,1.0455350719055523,1.0335566155050573,1.0336636730510258,1.0614145826739407,1.1089264563656964,1.0475612516526491,1.0998674689547576,1.1375260174732158,1.1551576965287271,1.2156149435603998,1.321286421454023,1.3079922229629535,1.358473011378063,1.5088554828294922,1.682017988167217,1.7075472747841995,1.618101040885625,1.3870425922523977,1.341807575214848,1.2561903996152224,1.2363205729876596,1.1808621169503049,1.167459243392128,1.181152990887518,1.1879196309800244,1.2137763510511872,1.2152060668107114,1.2586953187305496,1.249478872337468,1.3113275048297803,1.3354398616946923,1.5266229607393866,1.4765997116497802,1.4307804066385441,1.5203477670854095,1.7096192994116113,2.1863488196242695,2.7541867747756847,3.529538662320235,2.807829917427524,2.5295903378443927,3.940777856286993,2.815928459064962,2.584328533105496,2.0833868016269443,1.576510099975073,1.9723216515685056,1.6692247805363345,1.5589623683218596,1.619601140931156,1.7127661048461194,1.6813385199897477,1.5467947057017357,1.4464135494385963,1.352060012715933,1.4650296610420188,1.4922780990504183,1.3866600333459091,1.3828284544744416,1.2715221547583508,1.3108057176415557,1.3479536316468026,1.47766681490119,1.6337928027363515,1.3943570034096644,1.420267730977168,1.2716583929786438,1.354135890104457,1.3078062603708247,1.269509741536247,1.3376173923667625,1.4013133072824489,1.457576948057925,1.4984864921697398,1.5739096558169499,1.7996295239988993,1.5748836750478392,1.3892492584888625,1.371606687898859,1.425929133991594,1.2905319887583497,1.3089085669216602,1.2308142909487247,1.3215941163451834,1.2482764472428711,1.1743239623949016,1.1370963192565615,1.1366819067201528,1.168254247117846,1.1526619849120772,1.1644449347271568,1.1879194026509816,1.1910425311544732,1.2883584909696852,1.260626965853415,1.2630598019613042,1.2621942552194398,1.3181252796992355,1.341270415412698,1.3538315330662096,1.2657116454328678,1.2610714460021812,1.1724644905355375,1.1768296959748554,1.1014120262344231,1.0897826581963903,1.099369686011974,1.1228279226904145,1.1754596267127069,1.1856227166741453,1.2047877110687415,1.1591106151586419,1.1302703374356748,1.1118060408130235,1.08621176002475,1.0146423997097487,0.9969458809935712,1.0234452271062566,1.1832423473896148,1.1738862192784085,1.1983087676425963,1.3145697697884455,1.33842367685506,1.4223687566747183,1.4656966932362756,1.440265151977688,1.4026112178306234,1.2948235106680897,1.1946614250361425,1.1450808630801739,1.12805314892294,1.2067930049082627,1.2690751442059824,1.481555288142375,1.286022468629517,1.2412147778135747,1.3808348733969147,1.2549362226892269,1.221107624386752,1.1517271951283978,1.1616417036761442,1.1342999111405088,1.167477603172618,1.0972124008152826,1.2433384941992114,1.4827291164677945,1.2856145938624302,1.1642141583819967,1.1496554051032342,1.1848077705838744,1.196358352629708,1.246182926388301,1.2653447211979534,1.2659442942897488,1.2867699064968607,1.3842298755262794,1.4931070065273884,1.5099230755476565,1.5961028663846897,1.7956201698955288,1.7119117655658553,1.4878539131894266,1.408110449807216,1.328495835569217,1.380492141590089,1.3657603160101026,1.3511772090975696,1.3088497734211266,1.309452019065575,1.3607411248004615,1.4163874699766934,1.4409818430769628,1.5394132714241113,1.360163360044834,1.4915343854470389,1.6242781051094024,2.7888394865332056,1.9503406873130302,2.1567538072338,2.316927946161141,2.318747946272531,1.8269066486121515,1.7720854719042891,1.8284530832618346,2.4224104871431096,2.116473752754374,2.0393775649864128,2.034027366218506,1.638143917447906,1.5095394688968202,1.3302601592517604,1.2864751946845736,1.2876435939858206,1.2580344451835743,1.209457332369429,1.2379060989877535,1.2616463296145348,1.2449167648431505,1.317221164698887,1.365133284319019,1.3180950608682762,1.3535781115260084,1.4590654287022409,1.4815761072530638,1.4166009631618128,1.5492849392512498,1.6458363350628678,1.6505491524686295,1.6712513940023852,1.731189336875361,1.5190076542501767,1.5134983756930318,1.435461491896343,1.754932172701279,1.548768466502008,1.4732614476921042,1.4727576333410273,1.4162090671790313,1.366474036135424,1.496375320643834,1.510626306928377,1.4253398399378228,1.4311808885133719,1.5163133404893139,1.450755912612241,1.4590862842188173,1.8307137040017334,1.8002465394153842,1.5094702341516493,1.6864789030192726,1.3564002285232581,1.4934659951654135,1.4477865241058654,1.352305468061678,1.4102431953781294,1.378614347727192,1.3894124916928807,1.3668920121336843,1.4290714201789154,1.3183515342912488,1.2635952930404004,1.234743065874042,1.2432067565771674,1.228735505103898,1.2814249291380377,1.3097744609748623,1.3051513140689168,1.4673161279838083,1.4074239314186938,1.4430751631287557,1.4283838188188545,1.3462107804167025,1.3129970174993362,1.3831856495256678,1.3676425205513567,1.3608698037663325,1.3356162019514164,1.3827109420350077,1.4305004600875209,1.338410489063298,1.430220985107856,1.5355105711336787,1.4594588558440298,1.4187094213302223,1.5209615914333496,1.5717966073888825,1.5948269748455906,1.6853133112843561,2.240059096043885,2.1919814526854546,2.091168609393685,1.8271218971272227,1.5838607344139026,1.5474699553168665,1.8112677339046355,1.6467362015841402,1.6936974407423186,1.3404757922461548,1.2920870287169994,1.208224238547769,1.1997200316789203,1.1810600918155576,1.177125114474053,1.18657214761185,1.2567367222617418,1.282963962994054,1.1515126943292067,1.3505878916093264,1.3097783434791155,1.1696317382243355,1.2554493371353201,1.718164455817022,1.4731081126189745,1.6906758459301332,1.835117382487211,2.71564305973411],[1.544186657984986,1.4466316020225356,1.6845035030556663,1.1467814211453118,1.1308249862213724,1.1249258487272424,0.92328525116451,0.9108926046691564,0.9152265918488732,0.8752406267941234,0.8764139107532745,0.9037318738437128,0.936503390184178,0.8909448542554894,0.9447790374007565,0.9838316888745556,1.047561664500993,1.0986236490784527,1.2536397538543558,1.2153251602848225,1.2641697040036228,1.5999230067703651,1.4174794498400654,1.4827059311528983,1.365435635757918,1.2955755342182922,1.2278641290127703,1.1626588823179569,1.1319504812535386,1.060087081062693,1.0492525492203937,1.0366597996018259,1.0565503013903268,1.083151510973672,1.0922094773235196,1.1576707248012217,1.1270159060302618,1.2477933190922144,1.2916587258671746,1.4398093474887532,1.5721392481205283,1.5001286671721499,1.6789511725548465,1.9845210227028902,2.493919818647192,3.1224023033420036,3.6940773022168454,2.826677599812385,2.8342041030040312,4.205587591287101,2.908334441971074,2.7348417419199316,2.063771715288238,1.4845635149459837,1.9209701215995227,1.5963243454655645,1.638862689047637,1.7198077130155514,1.8025391137182178,1.7412015703507155,1.6634865297097372,1.527577945697321,1.3274952337204167,1.4493859748523625,1.5385162701548893,1.3769260975879816,1.240611012437119,1.1611081094646658,1.20984573939096,1.1931422168086936,1.3470878883756465,1.5091687687455786,1.2463286578435218,1.292373869951156,1.1345347975774662,1.2652345777530742,1.2355676445020332,1.1850484819463938,1.2806834529252653,1.3852197180785089,1.345516827518302,1.4502158764211723,1.5098165365651415,1.7662173282165194,1.5366692674947096,1.2798030527594129,1.264791825076503,1.3502321386846179,1.2136939409100973,1.2022135209868445,1.1327851373470632,1.1958412299467691,1.112406720843596,1.0271472644101651,0.9846562442618653,0.9838523835520401,1.0035498634916276,0.9971954125183278,0.9905403622379436,1.0085168798707216,1.0177200928895695,1.1175200450194505,1.0840660331475334,1.0871302124687519,1.071578825739685,1.1152295519951658,1.161121147854099,1.1750128644487765,1.1053022886998245,1.0711664842207884,1.03157529684682,1.0191380902024167,0.9290089597713396,0.9535404779178904,0.9514605690208129,1.0043413857980867,1.060114106221235,1.1326001870980202,1.1641510036012386,1.072554192457149,1.044116812897387,1.0187149324229656,1.0130056033508772,0.8870485614562611,0.8308284923708198,0.8767052869277165,1.0265631882765867,1.0150011419760243,1.0399819119802356,1.163091812420927,1.1876089503335,1.2337234185063486,1.3502066723152182,1.2902782056258797,1.3292014530931113,1.2305337858211665,1.1241566614301202,1.1308515406085906,1.0982760317480447,1.1969170158543876,1.2879821829063987,1.490876694176657,1.2931305747489428,1.2367757803147201,1.2746284347187695,1.1950869782670213,1.1435021199969793,1.0395598576901952,1.0164088309885688,0.9637561297757969,1.0107870243932071,0.952673541621757,1.1297475452017915,1.4206661128219338,1.1408125797754622,1.0045941735442596,0.9735064996719291,1.016140211099723,1.0573773523301297,1.0830167710831535,1.1417873969614531,1.1895860068403343,1.2673000553365463,1.3935980308559552,1.501278334866055,1.614828319930389,1.6534624475310318,1.97236856018365,1.9343741457348738,1.6774892385936087,1.460178355965397,1.3406504058545954,1.3554352270921135,1.2889135278924897,1.2511256812107647,1.1619439914010359,1.1906611740645876,1.2012602990342973,1.2991240647263598,1.2889357737683613,1.3783957355005685,1.1956148844600656,1.389886439469399,1.5868702748465036,3.189401632384927,2.2038696947859213,2.4478104463065233,2.5243833578888615,2.6721990102954853,1.9016267070798112,1.7282827907675897,1.6360264544269723,2.558944548412101,2.16022112901296,1.8666322844774998,1.7548136236675802,1.4402419967075832,1.308256878244355,1.1792699264429893,1.1395129508713349,1.2051561625885854,1.1726952200676373,1.1243531241990334,1.2850442227003125,1.324160167617474,1.3154372051411696,1.505611094449312,1.5796955607175267,1.4782400665895756,1.5499249602059009,1.727972080384019,1.7505012206175676,1.6268246706624692,1.7731766456576328,1.924995075891196,1.9612266194186665,1.9767318669205123,2.0596260755617877,1.8190549643340475,1.7967736454920464,1.6893821969998086,1.887600174308681,1.7920426625042754,1.6809576335124146,1.6135050524575203,1.3933979033166097,1.2763920128366169,1.3639404171438012,1.3796273626522497,1.3441657947835939,1.2863050855736171,1.3591507281733228,1.3469217066203412,1.2707019345044026,1.5425158768341611,1.5696197481656124,1.3947110565122072,1.493490768439556,1.2321655432377812,1.3098017188540112,1.2448991762684185,1.2490575910865027,1.2516745786771197,1.252475997941117,1.257658158800674,1.239310252924158,1.3813770893881425,1.2346059216761096,1.1562253573243315,1.2320023391632393,1.2633184160026492,1.2418737253864016,1.358420826312425,1.4207100712616336,1.4273324345914955,1.5689207457106966,1.6092047126348277,1.639849201345325,1.6312075054248845,1.4859567337901674,1.3876873767639797,1.451859553160279,1.532204939019439,1.537677220874191,1.400434279278469,1.540210596919855,1.653982953275516,1.4845663743021915,1.488172618306291,1.7763476412731578,1.7436012839543926,1.499434760499835,1.6073244675187748,1.7949751627540553,1.8574777737454962,2.030272315800183,2.4225405521792,2.5113599896479606,2.3385600561464996,2.166366932579563,1.929123138752866,1.8327281834567541,2.1494975758436707,2.032220825555124,2.1237885975921764,1.7744655871053674,1.5036584439291556,1.2244894834024596,1.0905453809046193,1.0516736486780862,1.1606749339527365,1.101893449651173,1.2045528147666766,1.1766924576270497,1.093812909229395,1.400819733377091,1.3341903531285306,1.1815196247578341,1.3291402500680196,1.8421580565328854,1.5980270363775413,1.7895691556377518,1.9640423047198912,2.6844306036836993],[1.211438939072645,1.154676224688849,1.4155569622744284,0.9553818771001571,0.9844097290175362,0.9393086941724329,0.7557834591856354,0.7400581718700995,0.7717215551463028,0.7136636957594,0.7123176319274561,0.7394503993827166,0.7408081905485674,0.7102078213726596,0.7522336989697362,0.7815006427292875,0.8029053044149334,0.8453576455678254,0.9778028542524638,0.9389096947028907,0.9848370180185039,1.2368939885264676,1.2257863822544635,1.264959486726427,1.1752473930752572,1.022238857710216,0.9413258656016116,0.8870904653419481,0.8635745429891186,0.8016750421142099,0.8072152983621411,0.7780177733185855,0.7929900662468637,0.8224104784930036,0.8129297283524598,0.8796642375124155,0.837535408179154,0.9254754674597934,0.9533433815173026,1.113228772286242,1.1975376205322905,1.12993513287546,1.2952945929496873,1.6389774752227289,2.181578952066139,2.872076612309182,3.614194839180869,2.7199873815854447,2.7603443842247253,4.140764781569211,2.7841934690660457,2.5346507075606857,1.901183027283166,1.251947561164276,1.6820829017927608,1.333130775469259,1.286648443430936,1.3831161369945308,1.468697703686082,1.4294269509382564,1.2455504396789951,1.1330866701987392,0.9838242814930446,1.1175569322728964,1.1703347812370755,1.0392971034699088,1.0171546064794577,0.9048338022394922,0.9775765284647945,1.0472855974275048,1.2611232591964978,1.471038983752675,1.123954513345738,1.1103638503833904,0.9350355626297381,1.0490963224962861,0.9513626947690698,0.8880294611208637,0.9637658035964247,1.0379946658738417,1.0112016570525248,1.1032463932577072,1.150256455912821,1.4184326718751632,1.2710718822972873,0.9690959219838555,0.9583979383771394,1.0336342530058944,0.9144079962426751,0.918114424995947,0.8712068497567376,0.9780307263699315,0.8907155333436163,0.8027622586399813,0.7742105137702237,0.8065664527646089,0.8505957594245223,0.7877163610953505,0.7809983868652493,0.8030499175603777,0.7974084301895265,0.9307018539764302,0.8395588369629126,0.8685854971020988,0.8856434463844527,0.9145362637162486,0.9576243637825799,0.974462064449402,0.9127610750723343,0.8754847226345785,0.8352244626669236,0.8111414985376412,0.7477664368303781,0.735986747386085,0.7383015080150236,0.7904086308590237,0.8297591428353869,0.88159299019695,0.9004913854102867,0.8287119402580021,0.836332760663055,0.8223517086400381,0.8306759418205084,0.7135173143329749,0.6836896221219109,0.6849493616729773,0.8534918517320645,0.8225281503668265,0.8458874239351644,0.9350929299910966,0.9775899381425461,1.026413863202776,1.0722763201934415,1.021428410915484,1.0301554389579046,0.9591822118981559,0.9207579956304818,0.8793921723107424,0.8388895635735464,0.8966090023916609,0.9537479442674086,1.14307976655729,0.9538755233184218,0.913692393528958,0.9865270589839679,0.8835515970160455,0.861270186128481,0.7843791906653034,0.7762494853934903,0.7762941635437115,0.8205490856946404,0.7717795793262978,0.9435199232535586,1.2841057393332143,1.018136989373625,0.8060264492160211,0.7763606882828105,0.8064096849782416,0.8117785448212156,0.8423269160152385,0.867956714212652,0.8727322499761204,0.9237032266556979,1.0124020409582102,1.0942792971108313,1.226972005496899,1.2243215157060499,1.5132873877493842,1.5218258149029307,1.2745015290491188,1.0902101097464623,0.9927806691840161,0.9906949193346721,0.9570748953820148,0.9257787883309003,0.8770360330545246,0.9016637111287088,0.9201239053657356,0.9644536179607289,0.9971649981933522,1.079707498935039,0.9117035064872493,1.0684444016828123,1.2566948696573135,2.668266199408903,1.8842044382053689,2.1256944520352166,2.240306625049656,2.3296066887433833,1.5920316481542134,1.4332122347517149,1.334019287778124,2.1522453430673276,1.8047298086625818,1.6620190749045198,1.6156545683038088,1.2315031472255,1.1551459395709371,1.012090810879807,0.958118739041464,0.9519315638119201,0.902551568356669,0.8585287427516515,0.9249392788681589,0.9471035141596342,0.9548549749696814,1.0910668742589278,1.1241727954161207,1.0620864001661836,1.1659962688281935,1.301559613495314,1.310876714858455,1.2476920937190012,1.419656335821648,1.5218327386256598,1.540273685875006,1.517027680963598,1.5107680651097801,1.2998254452976297,1.2966653333094582,1.2055531110978137,1.4379629620117673,1.372416042241679,1.2952369149334422,1.257343401734094,1.0833380835445867,1.0470552034428122,1.1666990833838506,1.1608300850913467,1.1011610176972308,1.0895401853583029,1.1906304416148188,1.1451546780443977,1.0935343526147698,1.4467033583408246,1.4861483263780102,1.2122024439169699,1.4103571775828112,1.032602414161177,1.1604332958025498,1.0842244213637022,1.0296349112364709,1.0594695243809447,1.0196476035182012,1.0670455068168174,1.016499101427501,1.0912952785691588,0.9621620419435821,0.8951313385739532,0.9022063060284689,0.9171649578294523,0.922982373120437,0.9926042445348121,1.0274521057387123,1.0506244822312767,1.2297823787250464,1.188788323496444,1.2020231488135693,1.1784746936963642,1.0710176204935056,1.0245220873884813,1.0761145934433685,1.0869059414554585,1.0929277283879382,1.030795856488896,1.1039604630177013,1.17630115353813,1.061772693374503,1.132532187190771,1.3257252161964832,1.225229376664191,1.1468474538066147,1.2651939675120545,1.3624421576908088,1.3399097030296325,1.403411830302786,1.920378156196114,2.003556108816841,1.725164972745677,1.6430650005483975,1.4187810325667523,1.4523986636916044,1.7952793998807217,1.5461860072410734,1.4520436087898112,1.1542947946264672,1.0225226034290662,0.9112740981747147,0.880064265281938,0.8478176269144757,0.9016045845777525,0.8525132349758524,0.8960496555338047,0.8858772216096195,0.8737622967871829,1.0891709538486625,1.0513673115561886,1.0525908800644388,1.081124494312441,1.5475227525883621,1.2827548039201044,1.669964431580939,1.8615418165121094,2.6905142566563396],[1.3540478317959797,1.3489809198666538,1.6551048771047763,1.1530238272113909,1.166082992855301,1.0595426424270498,0.7968433313232139,0.7760085855879019,0.7748878220159467,0.666176841799865,0.6594621101677999,0.6930490649941023,0.655870366357162,0.6621549606639501,0.6958016848535692,0.6997157519256664,0.7495549824978076,0.7977707490189901,0.9795950452064888,0.8995211286910679,0.9654055906724287,1.2745730561181028,1.1351582395851296,1.1896981289838733,1.0725803961106442,1.0053025925763006,0.9044363966886716,0.8499468664304264,0.8046754357602782,0.7106795986516775,0.7327733266952032,0.6907704739071427,0.7092451474222649,0.7381683608811849,0.7317199111150343,0.8031475799488892,0.74883945127335,0.865061303997633,0.8984648754582804,1.042736245683899,1.2203874451479146,1.155057681320268,1.3414519118653478,1.7222371279546866,2.295694568905731,3.015765300446913,3.633387314107295,2.680728776762169,2.9161968550008486,4.22752390935762,2.7715315491180355,2.5456859300508143,1.8719465461739295,1.1811925513984167,1.6149004627569654,1.290752653090986,1.305234503989776,1.411080989830843,1.4972833215142842,1.4172151424887878,1.2690744385979318,1.1451477487406285,0.9342478697485199,1.1057382668103741,1.1828942930029966,1.023286668248745,0.9595837085279734,0.8583753956792504,0.9619106075850705,0.9927222479058811,1.2138100631142739,1.4175499549168975,1.0696691028704823,1.0838779746182112,0.8759970163422798,1.0044967112550731,0.892174445433416,0.819067146631118,0.8994263003962845,0.9832924489849538,0.9255540816139407,1.0273809057011907,1.052155553927615,1.3292540648483244,1.2432589458560244,0.879596353568383,0.8846250862643567,0.9651870721614265,0.8480516893534201,0.8498848276171301,0.8098583625952959,0.9260173848440804,0.8376715457638025,0.7296703807314229,0.6988593859993251,0.7458213972302162,0.7980023115958378,0.721417604227194,0.7187071235130287,0.760933709812513,0.7202851160135503,0.8627426337887325,0.7409468307853184,0.7968544163518013,0.8221746359395179,0.8654389254534834,0.9175186375051906,0.9361404281640382,0.962656980781023,0.8987472865210216,0.8667562069755692,0.7511344238276502,0.7095962376045396,0.6380928928936137,0.655430667567805,0.7321680638947415,0.791943849551051,0.9136054267377657,0.9474940441766712,0.8239737695016223,0.8459212733439814,0.8065081584752801,0.840038638855231,0.6619434485619451,0.6324201025791506,0.6020344439877745,0.887712591256061,0.7718895547656581,0.8356861797115935,0.8637983064111817,0.9397293286908892,0.9610029053853886,0.9550492747862355,0.907677601928696,0.9130300101521585,0.8448235096854955,0.8628361997851998,0.8055848382450308,0.8125961792024132,0.8795230321789722,1.0394095852948864,1.182377355927245,0.9897985865387564,0.9243264453211588,0.9484573190727728,0.8258576511426995,0.7946899977864044,0.6815089687364735,0.6677128395489728,0.7029536906489905,0.7805020174270741,0.7671471153747568,0.9435211881392317,1.2753689347568926,0.9953484070785856,0.7651045806907931,0.7155557700511268,0.7421398581819657,0.7189199582243664,0.7528020773872397,0.7459733223166206,0.7776198433761126,0.8632129354945398,0.9471824149114004,1.030365331866215,1.2539110640584352,1.1349847576013403,1.430663363122266,1.4249817568674235,1.253992557308638,1.0111128239895142,0.9143789983793126,0.8839957228257126,0.8377056888570673,0.8021360407056856,0.7571511352650457,0.7994220207739079,0.7984149211437194,0.8400205817565705,0.8654794261620053,0.9495600614327836,0.7814209134401288,0.9292093485316649,1.1442633083572404,2.5385540189753715,1.8912627758767766,2.1208792864601405,2.2390428715537496,2.378624540477383,1.5701432349413467,1.4406586147223157,1.202411157663815,1.9828951810846422,1.635914611265072,1.4951410379623025,1.4812920421018139,1.1399936632301806,1.1442793847257298,1.1634456676090328,1.0991546381734945,1.1551555543468108,1.0904068904464532,1.0502070089447952,1.195224914359797,1.1984102595947128,1.195599772594885,1.3733988018175525,1.3882566263963634,1.304157608103838,1.3953904635875551,1.5162628784126164,1.507032228091049,1.4314752537389437,1.5788481885628076,1.6663451294158655,1.7031444667162932,1.6943862056155246,1.6584376316856762,1.505952124905123,1.4979894443569242,1.4279135162762502,1.544718524896935,1.5878403743285414,1.539513388576562,1.4753344888559325,1.273828567375136,1.2174908577228336,1.314489637684606,1.3184564747279748,1.2801978938515102,1.2386893883834438,1.3145572151250982,1.3003579906210614,1.2167073275621039,1.4335006766921026,1.463603053713571,1.3404588833468298,1.3922452486461816,1.215904566310681,1.2743026326360982,1.1961367432185068,1.2169555214137684,1.1955710983008359,1.1940381676027778,1.2037580989831909,1.1606969188218645,1.2480186070008337,1.1227938499584127,1.0569718150137912,1.1164092886612458,1.1181155671940453,1.1050275690964122,1.1958068849528936,1.2354273593563754,1.2351502633373312,1.3645016927880684,1.389014146744345,1.3968058431774877,1.3923796334987275,1.2976502089577264,1.2536359833821877,1.2992517739432963,1.3269628482767493,1.3475398397009928,1.2675569347470916,1.3501179335738482,1.423774685970031,1.3344476278083226,1.3501711763770465,1.5648806966040387,1.4947695153497333,1.3684800696477286,1.4685796059120733,1.5478965432532106,1.5415227548545143,1.607272114895208,1.9626242430053515,2.0692015770581342,1.7931153700644027,1.7583406167852864,1.6421826108665598,1.6615458530363234,1.9454392222695418,1.7547279418191157,1.625733562264062,1.5646027117811951,1.3454258591153974,1.1919268458689298,1.073579436566611,0.9782901411951809,1.1214297745760802,0.9815162422860433,1.0324883797652757,0.997619790697188,1.0236051649382543,1.2664608355555453,1.206526269222832,1.2056277021508317,1.2574736382515093,1.6862380111814494,1.4818782531164505,2.0404286616300635,2.3581587593375875,3.173016439432729],[2.1218171657129186,2.0669029147918216,2.278486158066608,1.7633494191540058,1.6300829906485785,1.5955371355971197,1.262203332564019,1.1804365864735886,1.2224832350983896,1.115152488281883,1.1090710327081144,1.1085345710698828,1.0732708291288118,1.0938456763230364,1.102074209951169,1.1061463770140636,1.1923603882397769,1.2333063796596364,1.4185298777450372,1.3644002454517863,1.4307722468881776,1.7951064942229282,1.4937039971826145,1.5598642231969353,1.4432633463572853,1.4713455557760207,1.4036394773698002,1.3275605240695127,1.2562075969766398,1.1542242849118707,1.1568224510739393,1.113781086541791,1.1354235753200328,1.165325051978599,1.1772492114627706,1.2614766392108037,1.205662874710274,1.3957672926807503,1.4664234470354927,1.581522002665179,1.8219833004598418,1.7136727640695166,1.9050766572126432,2.241046534029791,2.7935855601244692,3.443626207815748,3.87263366513608,2.932529386668706,3.1717584221628266,4.448825697887309,3.0175464378888135,2.9123365820203073,2.155236184245479,1.5929972887517279,1.9636785062570687,1.7380477914449304,1.849762702970501,1.8978133189063793,1.9977659725114247,1.9195533906185636,1.8652368981038367,1.6977477558967013,1.4474759161879578,1.5735570143505353,1.7111766846488214,1.5329998433745957,1.3690182722108313,1.293532272094124,1.3472760803278914,1.2854961886840102,1.4455699882060558,1.5766473392144746,1.3264145530685059,1.4058904732768314,1.2538739931961826,1.3618363318104314,1.352032940568038,1.287258771156164,1.3856617227611028,1.5115869894017346,1.4282109319930971,1.5537866719812132,1.5217110292108629,1.7922416102446352,1.6787879331367939,1.3592355505430493,1.3861503768512362,1.4429004534058278,1.3344766319816674,1.3013328785855394,1.2407138751993618,1.2813883703253357,1.2078386658962432,1.1250869697372745,1.1030829346668762,1.1238690803292197,1.1671692218596106,1.11995929766433,1.1105095287294926,1.1273498965477085,1.0700485655212437,1.153403660012543,1.0586081269348313,1.027681211182213,0.9501716558735637,0.997719328222513,0.9857992700587717,0.9793814919420043,1.0103444906551395,1.0104887195458876,1.101316429077376,1.043175754604192,1.0739969056095418,1.0751166278547126,1.098733738649441,1.1713122474174973,1.228800589318303,1.3492506370518051,1.382246739193764,1.24538011017402,1.2183472697979836,1.1850331569004122,1.202271527863478,1.08913373609939,1.0697953384728707,1.0350553542846184,1.2492032929794938,1.0533102003734687,0.986442731736549,1.0505501114618732,1.0168819562245084,1.0241994727064494,1.3033540583041976,1.1887738389654434,1.372169546721597,1.3009408664697288,1.2089232361360602,1.3415884208184312,1.3321297418453877,1.4343977224754074,1.5460770138851245,1.728273864906166,1.5375476610267775,1.4710594685299017,1.4723814863750715,1.3520601147238993,1.3000580079441713,1.1366433002141527,1.0676755079952125,1.0840396849634044,1.122025277777677,1.1485189014284964,1.2387870145815079,1.5983188542510416,1.3028376949918345,1.122683632651059,1.078316402468406,1.0711727717335882,1.0997959679877654,1.0534880470319676,1.1628522032397033,1.285078523627661,1.4516161096046976,1.5531546393269835,1.7284056174742162,1.9585800870140282,1.9287014619646776,2.2970599723774567,2.284961583004176,2.1035468500979775,1.7581595114807498,1.5740650256127378,1.5051537386262017,1.3560771258137228,1.2855713047477302,1.1289165828923162,1.203445404682247,1.1804124014326323,1.3146565479021814,1.2716962943682262,1.3975352895812592,1.1274136637374346,1.3581081571455078,1.6076387554417968,3.364690541633727,2.45999150377183,2.68659685659861,2.7583745139035876,2.939775627453749,2.0996852553553342,1.852680614372836,1.5342900995576352,2.617757397115832,2.238428341088288,1.800713869788621,1.5515221413020248,1.2706204833893486,1.1136193639740708,1.0951371098861058,1.0842394915003863,1.2457839718664574,1.2623763608861305,1.2749492172454524,1.5491044626014454,1.567823938518057,1.6719837956854466,2.0127981203822047,1.9755359029659787,1.8553669094091083,2.059166705772069,2.2219189377793014,2.192942540502441,2.11702329215688,2.29952569598269,2.3797420670844227,2.4096775607478484,2.3619623130881595,2.324588269806595,2.1293781866879606,2.093193074909774,1.9068990548648228,2.003713026620262,1.9866958257961465,1.8555993058655842,1.743961478796062,1.4277915180922391,1.286790026055969,1.3201067594287177,1.3818993737303291,1.354335413399146,1.2193622475397814,1.2878564272040838,1.3339522902246694,1.1802937983824247,1.4120588598067778,1.4466681899526692,1.3552637550620963,1.4006170159716538,1.208363992812481,1.1862321174216846,1.126870949456574,1.2491461274195386,1.2028740664885003,1.2593726486773924,1.2326015162417472,1.2351965896016952,1.4621500664402405,1.3167704216025617,1.2580817267903592,1.4470455798685846,1.513348544487468,1.539293760422183,1.7113467751587117,1.7269022593426118,1.7687692535649635,1.9381287748577756,2.0095434137734904,1.983767065586268,1.9574095028772862,1.7435638171364762,1.595410265468988,1.5987896015212502,1.7603496160770173,1.8233872385654264,1.5528948051038614,1.7096837489839534,1.883498548341983,1.675977850038996,1.5684414545015637,1.936573921678998,1.9554463143424368,1.5807044833897852,1.6870903311251677,1.8829424013740608,1.9470851449475803,2.1998571301297556,2.330035937975028,2.5421964483196366,2.4409027602167512,2.491362952073301,2.382224439069483,2.4083587811018967,2.6587322642821256,2.5607007685617655,2.397668048889741,2.29540528159647,1.8676441575889564,1.671568023919191,1.1859130047167474,1.2500167505415358,1.5804091267622558,1.3028167761623237,1.437471899184725,1.3591101062947053,1.4198210191392953,1.8319594943201332,1.7356107984696667,1.5445516918477513,1.8544223249373089,2.311139768325601,2.057092219818072,2.2227791571559044,2.4597863315219577,2.9947942060000647],[1.540644879456288,1.4332241219349993,1.5685891862626076,1.1081129805166658,0.9181662394125343,0.9273680246326171,0.7676824555859875,0.7378100743243466,0.7958295299410098,0.822690608712145,0.8245963810033025,0.841849947745298,0.9316201510074438,0.8858955656182281,0.9432907221680931,1.0135167465949237,1.1404502140817054,1.1672238778761252,1.317867286531866,1.3092961764403181,1.3331364721752823,1.7332490275779322,1.3431039917473973,1.4034958184572033,1.2997016737294156,1.3406916199278953,1.3143314750338952,1.269159848361805,1.238324074145872,1.1753695613419,1.1084987271990139,1.1214640875185546,1.1255168924066565,1.1728700427143393,1.2204337224039585,1.2728378566962566,1.2731582869144995,1.4107414056163023,1.4746483375732014,1.603364452370055,1.7898767977539933,1.6684967373910333,1.8632201444805743,2.1645621193918543,2.6491802042210706,3.2941744787704996,3.760665669073997,2.8295347756098344,3.1035226768812745,4.377361211701838,2.9496645119410005,2.875886625518563,2.1346697149940064,1.5663541410358028,1.9697237648543213,1.7110147936035938,1.7957709898001122,1.9055755748420709,2.012238580394509,1.8781258585640004,1.8128512307194364,1.6670423026820056,1.4193603902816172,1.5108677424549104,1.636530521930645,1.493118622657977,1.2666034530704118,1.2242352424428382,1.2226829298147233,1.1749971215004413,1.3107726997495397,1.4351806258635011,1.2199766053367207,1.275377437383722,1.1757280725254502,1.3094688018096934,1.3171256606464226,1.2835752272943914,1.4112112756343975,1.538469971955215,1.4946451808599517,1.6347535974578453,1.6523163253213895,1.91874607011143,1.7858699097374615,1.4526431511437619,1.4241191920655325,1.5182943799973427,1.3438576340041042,1.3247037257240042,1.2170227929467743,1.2340631231186359,1.1426641286706238,1.0530449981021774,1.0021285796618624,0.9641282489767516,0.9673678788228631,0.9850104281857016,0.9615952129851877,0.9396158755834183,1.0053951981469562,1.0874287728045988,1.1326599527597976,1.1045852751739866,1.1753108819377807,1.1376666423342248,1.1982845867279013,1.2560746380869026,1.0576597378135075,1.0193909270077817,0.9089389291403132,1.0429135468946904,0.878196529084904,1.0934618141582955,1.0360323797972244,1.1193880952994752,1.158124372851487,1.2298006341888965,1.2376609603209638,1.1610464669534273,1.1068326951927148,1.0940327593625228,1.1060511555652832,0.9673105838417171,0.8256066353042778,1.0183143166066104,0.9534496642443782,1.1085581714169317,1.1374688855512305,1.3491785018523088,1.4143843475630375,1.4138827052246485,1.6585903751095388,1.5345494762790555,1.683095318787035,1.5636868244756552,1.5949561204277518,1.4789788469793619,1.3232619346325916,1.410777913802062,1.3640529449125471,1.5224285500784847,1.4050161585473582,1.4079918945465582,1.4203693097731778,1.3686779789743186,1.320139427723788,1.1779081953659025,1.1115700935226565,0.9278916950681316,0.9238848968236484,0.8100669697803122,1.014683734073947,1.2592047105219202,1.0415868076653036,0.8878752750988265,0.9199995512128851,0.9688911407876578,1.0978741520089401,1.1279010068377986,1.3227149407049468,1.3772284253992253,1.5131608022263066,1.622948446820851,1.7675374255935332,1.8600656531356314,1.916455671375785,2.1607985972369526,2.2158370529421827,2.0183368148743135,1.8353943495111606,1.6542545416898096,1.6487179219776358,1.538544200067285,1.458010082378974,1.3210916548116358,1.3268866382128697,1.3402518200625249,1.4793050519095166,1.4850512150301127,1.565484517440849,1.3968546143229028,1.6541123970068297,1.8653961893685294,3.566509033833783,2.5965981757104455,2.786481431194973,2.794219472503182,2.9295523549438474,2.0847154569027175,1.845259111797022,1.586326922868693,2.7134643705954495,2.393669358483136,2.0162246418686034,1.771769582653524,1.6309786473232297,1.4174734054089282,1.0615911778995337,1.0233297633875171,0.827062851717137,0.7779833426609687,0.7571636265960593,0.75722273880927,0.8075611902345077,0.8691200269520463,1.1292994036485975,1.168192050390507,1.0751939511561284,1.302758821637215,1.5368580503219762,1.526647963006165,1.4455749806609528,1.7126026030633643,1.8563407816502098,1.8769897874292025,1.805472566632521,1.8164635236879547,1.490868502062033,1.4649202227059215,1.2795628369294385,1.5041809850410923,1.3943230253525798,1.2214271091918323,1.0615325180455024,0.8734174925417039,0.9518545700860462,1.0547453820925206,1.1058221639201602,0.9965048167406367,0.9321173296736467,1.0006427526251291,0.9763757449745613,0.9792298765779031,1.5141154299834383,1.398800789727397,1.0924273337197343,1.6418698958265476,0.9371482372433835,1.1806477727086389,1.0611945637119682,0.901445905948561,0.9700303419209082,0.9020664486261742,1.0381907095307652,0.9459548746590183,0.9508543035858033,0.8703658152827839,0.8442610657330095,0.7886315590727979,0.8354147086661088,0.8674784915798939,0.9717077202472532,1.0084391282758287,1.0663746480118428,1.3045497815228215,1.2967913825803323,1.2845133354312228,1.2431956858914583,1.0331322487774588,0.9088143924136545,0.9226760685876767,1.0631832886730768,1.0706236235510833,0.8858351716771942,1.0280926081803459,1.1800282355873208,0.936452884180858,1.0139871640383005,1.3374872973135254,1.2561347351137993,1.0310587611094277,1.1756501090885894,1.3998067077459047,1.4011723258084527,1.608660605897884,1.9704887090157885,2.290724599740847,2.057573031334804,2.121413887000805,1.7553945210442148,1.7747554936982093,2.2752642419746922,2.023106933359735,1.9035076320091442,1.3363532049700562,0.9584567410413076,0.7669302859555239,0.8847388190561503,0.8656248042393986,0.8096247108322099,0.7826585784196944,0.7994561892155696,0.8414541367277142,0.8081348049766964,1.0749560418638582,1.0389717499448656,0.976275977353617,1.1519899130862816,1.6490449239437681,1.3786457199135569,1.702063143125851,1.8771496685916904,2.6266534950501788],[1.29550901260253,1.1340716441798722,1.2693665737264803,0.8318383477026142,0.9174194547728126,0.8596541772792533,0.8430321185229734,0.8737573405893703,0.8506427834228736,0.8990146213602105,0.8934899840335196,0.9620250370804323,1.0544871483063052,0.9424078909848986,1.0213595018015391,1.122818881365189,1.2341874313396768,1.235928888826607,1.339548298203888,1.3616239766875495,1.3589972706901465,1.7616512357477527,1.364027893157992,1.4077719084475147,1.3298000028887218,1.347925222660273,1.3532703085729978,1.3246206838081254,1.331018727420142,1.3107743976692292,1.2136316380076437,1.2846643050091222,1.2904409683155982,1.3205599259614675,1.3748070181726821,1.39532741047557,1.4354665608232224,1.5173784497932299,1.5698849115352351,1.7080878028690265,1.83380160640846,1.7143785803358984,1.9044812803792515,2.16826600368892,2.638597860097359,3.278659608861402,3.7714445608813123,2.8575170145567252,3.0649911506873257,4.356170514784472,2.9716850587560386,2.908358256035872,2.1794128159795196,1.656025038980126,2.0626749287824064,1.7885246209380778,1.8470325665351452,1.972611835695668,2.0811998364878166,1.9346425394978415,1.8674721295785737,1.736678281274501,1.5079986420060976,1.560514658712586,1.6778690357823387,1.5600645968594047,1.3057779765615758,1.2818179193450074,1.235199402668275,1.2001398555793674,1.305116491949301,1.4075958149201617,1.2361603391040668,1.2856959826912255,1.2322124341035747,1.3753653555176977,1.4058299762927238,1.397941508827906,1.5359948640734165,1.6575362851176367,1.6493262774183128,1.7813788680366687,1.8473641461065973,2.0772785675329906,1.89262789039983,1.6084421057842306,1.545922940652898,1.682334418097672,1.4613835957857177,1.4650846529948083,1.3257354424741976,1.3148217032062137,1.2310951923489994,1.1682740244021828,1.1121934203049468,1.049623548091717,1.0401789861771231,1.1288551602516679,1.1237228509464339,1.1140352349921288,1.2037913838853012,1.3062954911447737,1.3531932600368977,1.3604569089640992,1.4325511987312618,1.433245072001584,1.5257042277049246,1.5843587369759249,1.3824740138306195,1.3298873551709864,1.188524867790081,1.2834711164520713,1.0714712528487031,1.2590687486444463,1.1468006531327328,1.180792074613172,1.2024974936750619,1.2298020263775302,1.2336493899754677,1.1971182489691539,1.1119179435899829,1.1214495609451889,1.110371628211145,1.0175396428169592,0.9064426380057963,1.1763069738057437,1.1780010751042655,1.3626089667499957,1.4585164170769926,1.631166500866538,1.741221578932967,1.7393139004785754,1.9089004114558799,1.7976481654427128,1.882060869183858,1.7408521287066983,1.7674639632718172,1.5565502682256098,1.3484900779525124,1.447566604341509,1.3362416231872372,1.5108214630537602,1.4084954896794741,1.4415653484192505,1.4788367391735913,1.4659166438203286,1.41930161204163,1.3281862204192838,1.306159794552785,1.1107107790966575,1.1473648512478245,0.9775649258167818,1.198554049318425,1.3477251798910486,1.1565111668617518,1.0843101430645365,1.1133595140121948,1.2059594015404844,1.302677215042203,1.3744704727474244,1.5145736390960933,1.5266353947914386,1.609869095413029,1.7333309275917717,1.856894090950122,1.8753161364748205,2.0026655585041637,2.212720842549694,2.2775654891313115,2.0335540843419992,1.919988282075858,1.7388688464929742,1.7891283928769215,1.7103059869413682,1.6424334563002514,1.5387102954204164,1.5222005544498678,1.5431748230756295,1.668526723326314,1.6959121639801957,1.7491780556805119,1.6388490220550038,1.8790266512896658,2.042029849311124,3.739537174172071,2.646107494520208,2.832952316180554,2.8220599239675472,2.9334974728959984,2.132166486207303,1.9134518119666408,1.7536404235112188,2.8356426717602807,2.553183183459006,2.229144718610275,2.030588557611021,1.9607243718223533,1.7716984821557047,1.4319813415742502,1.356801278523936,1.067153213145647,1.0146084341069386,1.0428940901422723,0.8448675444259769,0.8016367881776213,0.837952876308272,0.9000856097458599,0.933143146158536,0.9095298502585294,1.071410499857209,1.2839998604174074,1.3098537300979782,1.2341470173679738,1.4867343701710711,1.6699808972121157,1.6805686950365386,1.6288560089015203,1.6918768562294741,1.2866345492494453,1.2825717518632316,1.0852709968684504,1.4264757897766545,1.2203024960999267,1.0647836249133402,0.9944879596119067,0.8865542969269379,1.0568178974445352,1.1501100680794456,1.1521471545869548,1.06293243550194,1.096444542377237,1.1286217177831506,1.0449296745123056,1.1818813829663661,1.7129268128723234,1.5736135553929735,1.222690700421018,1.9121989821712377,1.213150542524048,1.4651072318426785,1.3231409920047936,1.0687737204136292,1.1926882146644326,1.0527168755590786,1.2356650053444815,1.1770872818822709,1.0525969802246886,1.0125328635541584,1.0465584461021329,0.8573158760258264,0.8470611706467344,0.858135088329955,0.8935090107569118,0.9240957172974741,0.9642873537764121,1.1887121952994224,1.121067313669644,1.1243792137300102,1.069823693624459,0.9008916528720435,0.8521898310132036,0.8657715489541911,0.8952016788397159,0.8871694566519525,0.8263529728133379,0.8606221164960346,0.9713440782971239,0.7805425701025724,0.8892749276298947,1.1216369409640665,0.9805121497921178,0.9631369678761531,1.023839927073215,1.24049882952606,1.1975307900447918,1.39788014395767,1.9374175131268183,2.3402275443338754,2.0551175603110083,2.019153041986633,1.4838892607204164,1.4510501898408212,1.9705517458665693,1.6562015441433087,1.7354682999526356,0.6824023739984872,0.7638645691910795,0.9902377109103622,1.2791024544832883,1.1854990191882717,0.9243471134249477,1.0209089358528407,0.9631921581242419,1.0326499222805354,0.9446192184187889,1.0149395858425667,1.006166386969862,0.9804482361671795,1.0063609150052075,1.4916130553715936,1.2451917938942132,1.5221563435455592,1.6390857028294492,2.4998144007883036],[1.0377275539399946,0.8907697240132272,1.0724843242242958,0.7899210372312285,1.2411443387486265,1.0430516680543678,1.151508617346297,1.2135258817572594,1.1119441332665294,1.1553607650374758,1.1343409977901635,1.2507676917557515,1.3083651079623408,1.1616764072018804,1.2450910591679356,1.3621698548560848,1.4561952262395879,1.409307548327726,1.4272880461144422,1.4762832178347447,1.4384203813492442,1.8322897998773597,1.3194310150881174,1.3680623252339879,1.2879939420398647,1.372595180122984,1.4364871671342478,1.4584058389534178,1.5082065114818153,1.5491856493400298,1.4255442973709997,1.5483355979690505,1.5387849857152183,1.5430230355180186,1.6081000502624352,1.5892854242117807,1.674202324447329,1.70089960645012,1.7315167101115192,1.8279201406048435,1.9420761766415473,1.8190331865792813,2.0221801907981622,2.302096948861962,2.726238599770006,3.3576122776065085,3.8429632047116504,2.926035830599745,3.2430405830025184,4.479346278229411,3.0586878747929442,3.0059415113737424,2.2799838748556773,1.7248572203709285,2.15772993768537,1.8749999435750264,1.935236429707564,2.127469161374634,2.2270610227096266,2.025663030449893,1.9483298178624426,1.825008353876975,1.6243388904217448,1.6203031112456003,1.739973608202548,1.6555432752234769,1.382412626743555,1.411987977984047,1.3136465529263446,1.3185971318595788,1.3573640700784328,1.4244333370891065,1.3561303724888225,1.3635281158604091,1.3625272207118913,1.5123983509408632,1.540319719894245,1.5698397358712382,1.7040037837404272,1.8062412714799299,1.8120668815989838,1.9483706729773937,2.017547621197569,2.2102398858736865,2.0789694207523763,1.7986557268829055,1.7124959776748518,1.8588408646391683,1.630309225309163,1.66266489791098,1.5077860775534306,1.4979702835096138,1.4170957745545125,1.3893782056268158,1.3397662593936648,1.2713080379655188,1.2492423256025462,1.3907925565601522,1.4047764542528607,1.4163721848746356,1.5020327592861582,1.6091640446751267,1.6539140317714163,1.6902070399484634,1.7890756351201285,1.7688641898917707,1.8696735069890271,1.9256292741618433,1.7958464858454355,1.7290793157736855,1.6160127226929024,1.6577028587720768,1.4384950777023595,1.6080280431963818,1.4181408936884619,1.3764474958041752,1.338266142051335,1.3293077267054043,1.303811613056229,1.3431876004280385,1.246059266803411,1.2736104283307723,1.2595651909764818,1.2492197899539788,1.1895160383269112,1.5564287152564915,1.5714148899228184,1.7716010088630503,1.8736187489352474,1.9786024607135286,2.0595156123753515,2.0130273738691082,2.1265680816375068,2.063139299380194,2.1380357974368818,2.052286634520149,2.1169377762301878,1.8392740421130844,1.5543948458639547,1.6242271702666284,1.3828380735461903,1.512261583103433,1.4848513630843694,1.5835039091293828,1.601658538937898,1.6648255774169098,1.638160720205698,1.6147367168448314,1.6406204444347394,1.4297566992065573,1.508831413510212,1.299237470594387,1.4884819614853895,1.4762355312337783,1.4191020736940456,1.3934379344849257,1.4381798550437723,1.546672388167981,1.6166625004025104,1.6986121029361008,1.810711357259739,1.7676902130307497,1.8176421524630355,1.907923038375484,1.9999187948709056,1.9649011108700734,2.078185342746198,2.2057207915661774,2.3098010613537605,2.1226570214386022,2.075474018044098,1.927358959628249,1.9875519472901155,1.939920573132964,1.8826940976898014,1.8200375032155813,1.7925498855706734,1.8163675114319413,1.8964807048660544,1.937093806540366,1.9243138830121058,1.9318921297708453,2.1240834012302914,2.249890774157591,3.9098064937507377,2.874803051772356,3.047107776560196,2.9718707498817176,3.090995378242729,2.21296446757281,1.9636400067489455,1.7286327126507142,2.9099393213482756,2.652275968293806,2.3380479078038694,2.119895206954155,2.1363936315182763,2.0048999637039806,1.7693216044787563,1.756873905630163,1.3960072494632967,1.3543716489529039,1.4545302398189552,1.1599593995380677,0.9702782675551189,1.002288373775238,0.8833563848701699,0.7008790411832823,0.7657543729903468,0.8647207421958838,0.9261387483950806,0.9575196684224119,0.9824942579024092,1.2307243146020441,1.3648384198900947,1.3136105401332625,1.2555983539458346,1.1785792864401325,0.7914595995343946,0.8370604794444361,0.6919145054876898,1.119687500377055,0.9460133743890543,0.8196606610624719,0.843988569883871,0.9023672340333633,1.2611001220859235,1.3073627263910446,1.283286975454068,1.2206085208050317,1.293131684313203,1.2838756877831032,1.1858646318492811,1.3984384507034502,1.8880038338749159,1.690352127679153,1.4181259836285869,2.125166001114206,1.5268004964699349,1.7334406829431246,1.5858460913722159,1.3201775680660885,1.4380711161998658,1.26432458656306,1.4997522733368638,1.4395959052733651,1.1867170356920824,1.2361045327096145,1.3397430118060596,1.0544093559419057,0.9442637289008291,0.9684337605271578,0.8805658133160931,0.8120750060888525,0.838882168982325,1.0815779308130322,0.8510088978211229,0.8187390680128527,0.7553226387675573,0.7158015734403373,0.8574102835938332,0.7997993494475094,0.6291298411811895,0.6787984178631984,0.840596351805276,0.6315986471990219,0.620020683330501,0.7703582961201902,0.8358810439422194,0.8145424221912003,0.6089285258876254,1.0824902211803382,0.9439979670068696,1.03824592620586,0.8803828993416589,0.7535732337897001,1.4589685020137757,1.8071484339575816,1.4934152231941473,1.533430033138261,0.9071366323381765,1.0719353777051743,1.629028872730625,0.9726816944673415,0.6050354646557515,0.9277002225453841,1.0736427917625309,1.5089992388924502,1.7577266229307864,1.684638738866732,1.2994380278229436,1.4000665436661064,1.231008508808742,1.2956119863237148,1.310862422217898,1.0360183019240596,1.0183580397220506,1.267896084209039,0.9726859212944065,1.2611459450875475,1.0672915036280242,1.460474690011041,1.6028233957609759,2.546914315434592],[0.8241359298309665,0.7862926519578294,1.0649765908913231,0.7080310455398369,0.9597827092165773,0.8579003948718008,0.8437018882876689,0.8745742149787042,0.8178222954683184,0.7505735994582745,0.7361241997949478,0.8626038346986996,0.8168685193241206,0.7109984369799283,0.7559756634602754,0.8139650258858341,0.8662227528543799,0.8191411398999343,0.8470032734659411,0.8789547017097749,0.868336059454799,1.2115348340276164,0.9610195680276384,1.0344498463410843,0.9156220649552702,0.8551503862387568,0.8301510218544061,0.8572269622905864,0.8937473723747806,0.9336822828852803,0.8320853508702925,0.9520942945024073,0.9537781193505595,0.9184360090363204,0.9629439827895642,0.9384904801273338,1.0175060120509793,1.0242636861321333,1.0208959100818404,1.1526734615187686,1.280883164454957,1.1508806330962156,1.3466061945503434,1.6854507663929255,2.20184074933379,2.943610487972196,3.6432696496882278,2.651103155562848,2.9225746347373196,4.202123076827959,2.752698477928307,2.5547899106221292,1.8823744888445184,1.1996136029344109,1.653506750954872,1.3276129614415668,1.331079730755664,1.4808645457834326,1.5889896343782386,1.4437864708782029,1.251191223830345,1.148895599758457,0.9420668797632524,1.036317938468652,1.0779531062836385,1.0075402568292477,0.8609174149508784,0.817182680209146,0.8022637524515401,0.9144895005197344,1.0945359628790317,1.2753102740125721,1.0104326973607964,0.9338245099934613,0.8439308277555193,0.9805656206206009,0.8935095411162326,0.8969303149173995,1.0141279613848078,1.0908770485958947,1.1128088591514147,1.2290160706527702,1.3059369307658675,1.5711588102512457,1.4751666383700148,1.1101870302238774,1.0262657598771814,1.191202901881469,0.9541016882528937,1.0061413666619237,0.8810070830650024,0.9519808060786236,0.8628147382634686,0.8113652151429797,0.7883986950757191,0.787479801755901,0.8222136812888831,0.8754657301270601,0.9224967955490893,1.005116091070541,0.9721014143937388,1.1341062135449993,1.0541413941336684,1.1296838588799232,1.159755261940458,1.188152699365887,1.3119803039870133,1.3577983999637615,1.2785384599657594,1.242593420610313,1.1577555841770917,1.08707572438105,0.9454024216368773,1.0185453967749196,0.869857316077002,0.844777789092851,0.8335697311568426,0.8000985167267829,0.7960916368675754,0.8025238109292521,0.7914556636249569,0.8247354013875727,0.8221560872435699,0.7776203525113751,0.7589713901500392,0.989057884055738,1.1315784677580218,1.1836746721217486,1.2668107239447441,1.3280785892361842,1.4046805807055425,1.4039032715610293,1.435167605110757,1.373146771775833,1.404430526401721,1.3466911381220694,1.3991967771358444,1.187277665288405,0.9642690889268626,0.9782329768481929,0.8249871060334003,0.9598283399308752,0.8619636147442515,0.9335133961519277,0.9708750441144606,0.9916418158464267,0.9933696588054892,0.9765383971133238,1.0148745785789166,0.9292073367706893,1.0464469331413382,0.9255139618459176,1.1453392370576658,1.3049347770605848,1.1522064032577712,0.9692968031234205,0.9570672884090818,1.0319148373789324,1.0297669844350694,1.0861499826496916,1.130314632885752,1.062858146986234,1.1071543528703403,1.1852139269919626,1.2586077350793143,1.3185359487241686,1.3685826980398688,1.5775563604005762,1.6806043181044477,1.4502162032162265,1.343361376995933,1.2078893511932323,1.234056393519151,1.1969829609706495,1.1604456937549732,1.133670319785754,1.1368126412569863,1.1466536298505996,1.184908547229832,1.2334723345398482,1.2322784706349545,1.2166528660268152,1.3941678432030717,1.5559624418158473,3.0952872809871566,2.2018558936027524,2.37704653263786,2.4054758136457464,2.467890979789827,1.6880653222056339,1.5224771923026263,1.3133573212070986,2.350205153242052,2.0561580178767978,1.8202226101145296,1.6857426348726814,1.5509283580209814,1.5067653160039278,1.3455365232067562,1.323754750107154,1.1570235071791168,1.115094856447132,1.1481288869701303,1.0314311396791482,0.9571930424287962,0.9747454132619033,0.9293402484410318,0.8447014736200396,0.8839840913008111,0.9681948595983014,0.9738938617699041,0.9829155896677119,1.0516503510729098,1.218788759567084,1.2089182492632728,1.1624238425128028,1.104705623031535,0.9346746864712148,0.8321045663244929,0.8653408350332954,0.7989110209229088,1.1912704500480582,1.0060455437358196,0.9565171431256531,0.9611568223948509,0.9800579471641042,1.2116032891221475,1.2463282338875952,1.3191049064871065,1.1928238022451765,1.144290741972983,1.2196788310869007,1.1562142731856364,1.2236784735629205,1.6738814989487256,1.6429428640649195,1.3309610746561273,1.7868468087730653,1.2628336986273523,1.368625182910149,1.2937249030132238,1.1414760686640035,1.218905866630702,1.1368882431705396,1.2759035723350944,1.2130605996700208,1.1110924683549777,1.122347377735785,1.1705403718049638,1.0120354792448867,0.9747716467859164,1.005407929823258,0.9464937935146613,0.92715944027086,0.9543702117141001,1.179538244188778,0.9281717215189133,0.8905671307449986,0.8753995030244068,0.8712271295302615,0.935915052747223,0.8973655515772682,0.8189624045519783,0.8363253921425922,0.9275989499034079,0.8134351590385923,0.7966947364262829,0.8799232253992871,0.9623012936910009,0.8795448672317779,0.7928537755201273,1.149204521144043,1.1040969661794802,1.1563825194477766,1.0243548687853359,0.863561010588435,1.4183566917612358,1.4429222400446247,1.0541812118204987,1.029739105844777,0.8752591851435844,1.0457872583089058,1.2603788133815073,0.9158741373961241,0.801530533262233,0.9261874098006712,1.046773750943432,1.1536606073677442,1.2885472335882793,1.1987917491031563,1.0823593051327536,1.1185703493107413,1.0602581539537652,1.1034620458514914,1.1016083669736565,0.9795850942659747,0.9526358912265602,1.1498376120869376,0.9317685102416868,1.169503707220422,1.0029492968110363,1.5353886951436244,1.5935244835632303,2.6149928551283517],[0.7190727399649107,0.683136162830414,0.9236914060476699,0.48676254126139334,0.6322985035614119,0.5678305441131144,0.5474573374384488,0.5410662104712395,0.5987225461807117,0.5849688978019687,0.5872273817524062,0.6392497699481994,0.6276179692056943,0.599389708058841,0.6189594992206403,0.6324170870328728,0.71745624209326,0.6949871903138569,0.7748995947763053,0.7406849508847433,0.751750233375538,1.0581030309939783,0.8162966222624478,0.8838694088088884,0.7769511597748492,0.7471786422962917,0.6909669546680347,0.7164718126874285,0.7200434451342392,0.7035541353174228,0.6648264558133704,0.6948927405473203,0.7063542641332267,0.6964809893470137,0.7163785837722457,0.7326708190465169,0.7531979404485488,0.8086866278434709,0.7968020659501177,0.8842513748214486,1.065726892295031,0.9742124984568071,1.131594757091518,1.525659730130231,2.055268679518912,2.8933936942456686,3.5084781211502727,2.470941668075193,3.008821712607729,4.206999606042383,2.6164313284275025,2.3762733776304956,1.692173899036238,1.0613190075882868,1.4029570157714757,1.0998854106329439,1.0967102372102062,1.2211077242130044,1.3460143663956068,1.2360195610447138,1.0375962343390062,0.9627162035436513,0.7535314641775386,0.8675140907003415,0.9274462134585294,0.8244943508912036,0.7424915281781419,0.7001225846118629,0.756172465213009,0.8505687725785318,1.0286337156902523,1.2041944724155234,0.9615462678745654,0.8650516649053526,0.7294237340375669,0.8930509672209508,0.7419239389155063,0.7125070915353706,0.7964100575643429,0.8546979943439839,0.8351495595817011,0.9380355191281463,1.0075005964211723,1.1761791270324802,1.1993725152597345,0.8193201846975907,0.7945380251767349,0.930856659641164,0.7465223777676127,0.805665569088857,0.7154828960657329,0.8267807112706012,0.7364799635600463,0.6426734712268266,0.6238416622545266,0.6462416556843559,0.6933257565314234,0.6571863013463882,0.6583687236207313,0.7023656522331033,0.6669192652209083,0.7942468793569375,0.7026428175340458,0.7456452635458111,0.7361758622042222,0.7678586853862113,0.852694559804571,0.8528343067038859,0.7678874000737924,0.8140232006489024,0.7034983319127556,0.694682313884879,0.6186073343055821,0.740292619376749,0.6936073579687853,0.7203314773131678,0.7283435948283309,0.7237820845499153,0.7323392624061721,0.7243681671490734,0.7515726993911107,0.7688534313624589,0.7935488829901107,0.6939309277469707,0.5983601441005096,0.7612241881475321,0.7814797366301162,0.7760897424864662,0.7880230460376105,0.8418225247142023,0.8893316373280553,0.8791725578684804,0.9239017292642703,0.877006605111088,0.961022635508334,0.9600938929495807,1.0119700357025465,0.898076197097818,0.7654825608143626,0.7711620302734522,0.688994768485938,0.7911104967295963,0.7215721850285453,0.7612212304482985,0.7793098389725612,0.7879387742806665,0.7931848991554696,0.7233985302363017,0.6798546227551179,0.6381085056547716,0.6707970306404932,0.5828027005571442,0.7961132505603293,1.1111611889500752,0.9185145851155198,0.6171306578429645,0.619801309865575,0.6638666879661277,0.6979091933537491,0.6882383572855002,0.766871742042766,0.7658939610237872,0.8330712414314998,0.8740527157737776,0.9227115002945249,1.0502326085177032,0.9958811338190825,1.2313867236636922,1.311762544762814,1.1569600043366235,0.9810972793542794,0.8788427910938438,0.8671257096429678,0.8226060928370363,0.7900078113768892,0.74563617396133,0.7995081100038273,0.7924605986241258,0.8130079397746819,0.8412905935689544,0.887934200196576,0.7738428544144513,0.9070641480846985,1.0577146653314637,2.563167882424539,1.8896693119578643,2.115656884027708,2.1431836644850195,2.3467988459520788,1.4725580683128692,1.4182408624392628,1.158440967723615,1.8074677936638768,1.5713848751880637,1.4048353718470972,1.262611150539375,1.035861543177496,0.9673761566652019,0.8523111549958211,0.8062886943342138,0.6486898441965717,0.583176416590586,0.6041867558073232,0.5436704260436075,0.5109400833498967,0.5221744230411473,0.5389106174806586,0.5861228364001142,0.5895158309797623,0.7084862463107322,0.8193059594435429,0.8511765183673247,0.8598521109089591,1.038580072679045,1.1175420678898036,1.0862694100759274,1.1257104932354505,0.9446167776411503,0.7629693982492742,0.8062088562697624,0.7617811948756151,1.1149462213125652,0.9977290796220939,0.959535811367658,0.890516388951567,0.7104916534475372,0.8022514119356228,0.8242102244205588,0.9152296811658078,0.7658784916838438,0.7530782617935412,0.8628653756362381,0.8722569864501675,0.8098416600497771,1.2110850059497185,1.2672527523098809,1.028427186021143,1.3438085127212671,0.8310711357076273,0.9078956394959181,0.8063147612001373,0.7242096378331017,0.8100548615596982,0.7966419925663699,0.8547681765192655,0.7593843763189856,0.7102356460000874,0.6829981760338332,0.6811562764205457,0.5545645540740033,0.5841860192751233,0.6429142144490885,0.596768393612518,0.6354653290044211,0.7138100016228589,0.9481406087919964,0.7634421122996876,0.7648535751915375,0.710597092331917,0.6192914892756693,0.5930513111220675,0.613289791336264,0.6178107368086861,0.5942498139615734,0.5880294007880751,0.6505529528858139,0.6917795186127835,0.6280857002734411,0.7600704428872879,0.9470849395994388,0.7605227458517079,0.9045321778586011,0.9461311790356386,1.1303852606184448,1.011451114065958,0.9005927544684487,1.3537216333230226,1.4900957612519479,1.0898504320561615,1.0179884812668012,0.8035698931674305,0.9094115048458075,1.2029014095182513,0.765040807595939,0.7545616388282506,0.811762129533908,0.6925323847598611,0.6298356435320346,0.7456196507049356,0.7305347473043242,0.5825353572484135,0.6061242038909752,0.5424908047699488,0.7483956527884754,0.668312965790527,0.6319027401910787,0.6734906865925453,0.8553610729013033,0.6948012519236267,1.1274005047436362,0.8493369602992483,1.6605087999371493,1.79483081790373,2.595217712208015],[0.5140779725620916,0.5110291275796383,0.6837126397608163,0.42614335424586086,0.6412337980345145,0.529029296882296,0.44280836967849513,0.4572322548247472,0.4704723431735884,0.3912664698241396,0.39386472511876813,0.48271788125422865,0.4154211448820415,0.364063470015963,0.3907948947083434,0.40909038057006003,0.47007315208989897,0.441259864680942,0.5306650741164979,0.5196533030429836,0.5444338322827452,0.7473585984246004,0.8158662017944202,0.8792534252541171,0.8126038645182116,0.617993365198385,0.5118289654600174,0.48554236802996326,0.481166117213326,0.4521268190132407,0.42470551211137897,0.45586771621914285,0.47316878214623803,0.44901892425883083,0.46842665158722857,0.46354832095677917,0.5252625718404123,0.5584702307922699,0.5538271264830277,0.7165658775419601,0.8618136007812269,0.6999832860730452,0.8820783072338966,1.3668795840694283,1.9162102551306093,2.8554349773856944,3.539596589829957,2.455226927411347,3.071867843131771,4.193267129068097,2.6099525383387605,2.3092057599078935,1.641306527118773,1.0209621936983664,1.2814071426791858,0.9737455658275763,0.926406047353614,1.028675342396771,1.1731913318719067,1.089404364264217,0.75477255621273,0.6872895673527843,0.5459400148778689,0.6425977835860981,0.6285307605795106,0.5797165970709136,0.676061822198727,0.4761377536734045,0.6316711362437021,0.8116981736456322,1.0476056187508447,1.263250299215708,0.9793531557311592,0.7761581705484301,0.6080885633598061,0.723751912982302,0.5062136530861321,0.46809971228456604,0.5320509909742263,0.5982517494129052,0.618080933623678,0.7212498127856453,0.8816099908851716,0.9860399092758116,1.0559431350773358,0.6161027287991292,0.5654468382993718,0.6916405999657148,0.4964297122505987,0.5480206020100942,0.47781999117351276,0.6769611438075698,0.5336496966831842,0.4378041726938658,0.4232584598992417,0.5078266785477237,0.5650395021682828,0.4772526785715724,0.4909197945520115,0.5951057176312339,0.4829509496138587,0.6941333105538611,0.5495660214946932,0.6596976762938668,0.6587943208028826,0.7186470711697542,0.858994832701906,0.8747191745704583,0.8139935080761852,0.8591411107308717,0.7099441446692204,0.6053429265135755,0.49578367064631,0.54720773628938,0.44275063034276374,0.46550842388693725,0.5004917392675005,0.494303243375315,0.5741004415081795,0.4794510300194896,0.5000948273438969,0.512990686213806,0.5258020378195004,0.40899929109896005,0.39384196960735823,0.5781137199642864,0.7150186659584298,0.687354702072484,0.773462685752755,0.8089259635406831,0.9002425071208014,0.9013714791426104,0.9097822770528655,0.8406373030419687,0.8954689246033515,0.8457405597700165,0.9670823515111087,0.7447455459615955,0.5363799284932355,0.5250252059326785,0.5387939974889489,0.673947026345375,0.500926055143238,0.5037087588785256,0.6109894614387369,0.5230972302776581,0.5322777361892189,0.5019608661094094,0.4997643365374995,0.4865072763473218,0.5903625769888302,0.49809191633740224,0.7360710766109141,1.1095243009198006,0.8999424240926117,0.5224911673297039,0.4673783987445078,0.5529156558732296,0.5102952322963942,0.5612840884540398,0.6002869324981979,0.5390839432888352,0.5892692883507301,0.6429325092777285,0.7512301375448736,0.8995322274718266,0.8928193340268517,1.169539273235901,1.2730147293163099,1.0583635950892352,0.8815076965586526,0.7135049306850604,0.7069402831396674,0.6684199940875798,0.6061857323108797,0.5925974465966519,0.6103481334572274,0.6460597212564072,0.6200537741956644,0.6878499649807512,0.765432536231776,0.6693810025875344,0.8358918007681873,1.0172716820784506,2.4415132210195307,1.8477482964570366,2.0300167257796082,2.075242429048675,2.247725556645366,1.4391768376748437,1.4132754598122625,1.1209203950239646,1.753400623025939,1.53075941478774,1.387817068371984,1.2649239024693821,1.0690513598206073,1.0290638551601166,0.9474191308798711,0.9039162440995997,0.7900970869795614,0.7260706023940663,0.7453200951296782,0.7301614751645996,0.6850357903230869,0.6964163098637111,0.6751974273489082,0.67085095700757,0.7134722941920302,0.7874752176085946,0.8352543467207617,0.8884545431635078,0.9536764372803207,1.1025814145775472,1.0896063504755111,1.0093419968102166,1.0735727630197447,0.8222835446718213,0.7495724074018575,0.8038346223539545,0.7896873426435308,1.1701598069077501,0.9981080617330479,0.9344170990496314,0.9573185345606146,0.8434558101613184,0.947491603432896,0.9477976986451885,1.0937757251586335,0.898624562039962,0.8512707368372047,0.933847764675652,0.9436084031172353,0.896395773729302,1.2979628038067705,1.3553907391613336,1.1398013938933047,1.4516394590122386,0.9427704211520971,0.9636903999559683,0.8924629797842208,0.8157481325657783,0.9194235523781166,0.9288821290387471,0.9603892801038755,0.8864116355723283,0.8056825935102947,0.8278963372571023,0.8489077394991249,0.7232133077355478,0.7593985115243371,0.8308625357395081,0.7543479051609948,0.7962596403907739,0.8801918061938092,1.094422920759813,0.8513584199004567,0.8304021927789188,0.7943677522204146,0.7360219200981449,0.7113385863062721,0.7241662446059439,0.7292490104454773,0.6892312103315146,0.7200437085186031,0.7312644268248124,0.7359545981382526,0.7351709815564238,0.8252064097899521,0.8783760353005644,0.7719590225415693,1.0255937538577338,1.0013383525397193,1.2229287726244735,1.0648835049760963,0.9128539314267676,1.2965520223964484,1.3707185674112474,0.9859701002996991,0.8065292255247787,0.7169928379067948,0.8258697915507628,0.8699648205150293,0.7292218579550118,0.9071848994788242,0.9565619489603031,0.9035461922237683,0.798895001250403,0.8588786839815221,0.7876805179874994,0.7249490583624841,0.7198356094058093,0.699585788640439,0.911545951649571,0.7494410923106037,0.6742248661484278,0.6696851287726022,0.8337801314372321,0.6220952217020065,0.9342865992605061,0.7042129273152923,1.452672428491797,1.625732481234327,2.393837096531711],[0.47233587053502935,0.5079358075773276,0.626801088390895,0.34473242239199503,0.5790671974680364,0.40662893411866435,0.3759416140538137,0.39024819035556435,0.45896923745781876,0.4228622198672018,0.4324486952187382,0.4819996065929392,0.4631387082771133,0.4442795450681811,0.46178843658511326,0.4620131458984599,0.5211174786025293,0.5101656570205105,0.6018865163892829,0.6024171170409504,0.6083211957320166,0.7947992636185441,0.8153435200420709,0.8704083253687904,0.8445622735151007,0.6642361132811667,0.6081084136238473,0.5726412917888948,0.5477855106187907,0.5020147496587569,0.47716089471180023,0.49317271536684176,0.48912995695131795,0.4980324312560666,0.5071806831492713,0.5213114072267505,0.5574698068644712,0.5890144562098706,0.5985090985761568,0.7543773307412031,0.9152461259611525,0.7536354926260305,0.8899109782622943,1.3867847737136496,1.888314612237495,2.892276294283921,3.445284379261197,2.3936019476958483,3.2414784746527348,4.291336158020192,2.6153523636972764,2.2741191622189505,1.6103874956962636,1.1198298061029424,1.2689839763563546,0.9737111993590946,0.938792146646232,1.035184564083087,1.2017842907566674,1.094772931813544,0.7914802017894338,0.7628536673713099,0.6501308162793616,0.6917541265621204,0.676982610583451,0.6600534648293811,0.7183565550855332,0.5623694057338815,0.7032518038745393,0.8263660812955366,1.0098277651107144,1.1786209688755653,0.9786635267269587,0.7878660695306564,0.64366084252521,0.7263365733951174,0.5902212648052837,0.53868892081919,0.5811147944905483,0.6311494605021151,0.6208728724489304,0.692968468367132,0.9170577550114941,0.8427454714928431,0.9757038181682609,0.6123352408017015,0.59966934091326,0.6757753534879113,0.5657202558312081,0.5751489753004789,0.5521634858792633,0.7275830391202922,0.5690215936853519,0.4856329669684805,0.47110490754305645,0.5299185843316566,0.5804801837793465,0.4868839899504193,0.47281029064950025,0.5448261938996203,0.4729453753471263,0.6220207584901274,0.5015885900778937,0.5702743477393246,0.5712147493357596,0.6139186046933212,0.730082849839228,0.6638021964327364,0.6066824623238921,0.721440376901019,0.5163890631032297,0.5123464452152107,0.43712075343049284,0.5140414726574759,0.48292947481287685,0.5346521864668058,0.5982967923781709,0.5882208042756113,0.6354003117756278,0.5629960086964401,0.5615668128377866,0.5636643133504404,0.581121633469212,0.48231952777317194,0.4379352632130378,0.5580878372247131,0.5684851487305279,0.5373412278555182,0.5698318816509778,0.60687161146778,0.68652063799417,0.7057238893339077,0.701581299640249,0.665780410447168,0.7197704276188819,0.6939347228249269,0.8220235873890563,0.6838891721648881,0.5643097362967034,0.5618034213992606,0.656530325544535,0.7241955433578567,0.5890163434512734,0.5689298464135787,0.6997878516107501,0.5711998550682291,0.5665574307832837,0.5165546923798148,0.466671878700985,0.456096911789218,0.462051380770356,0.4296340593587434,0.6565494659698539,1.0674369942073068,0.8410424590845268,0.4624102504853541,0.4136866740012439,0.4603174243161776,0.45643140938271265,0.49013889732797217,0.5363021988758123,0.5559407651539106,0.574803343248979,0.5994615747364715,0.6282577911859604,0.8860349873015388,0.7808537035113695,1.005268603602404,1.0970345842791835,0.9512118604533163,0.7692920082064462,0.6527296012727102,0.6294558963263986,0.6047445038980628,0.5561394546056388,0.5430547064554173,0.5977641988375886,0.6369578252495247,0.5863604911752708,0.6148785983514072,0.7552144811892053,0.544272907402365,0.6319453362311552,0.7956613385434517,2.0294566054464136,1.5684612424864823,1.7503558760169102,1.833746476212464,2.179301942441174,1.410882176903146,1.6669685625059443,1.409859596994052,1.3238962498614364,1.175585706877916,1.146449481255898,1.0781697255751788,0.8571617590526874,0.7918697270308208,0.7476523750260787,0.6775199050795585,0.571005885270487,0.48251244586275494,0.4807896522859993,0.5215267108669205,0.4879408752233873,0.48240785681931186,0.521230152583064,0.5675625523735905,0.5553381846825706,0.6465660569880373,0.7559740302509717,0.7903301396390606,0.821988979338162,0.9617594256233264,1.013508006688836,0.98787198159681,1.0555717394129878,0.8567452378719275,0.7184356869322788,0.7495508283013415,0.7410579161416648,1.1165015659012285,0.9849571408779761,0.9285086047075704,0.9310204295562036,0.7030545437474155,0.730117741909308,0.7339807939483944,0.8196340403270748,0.6739177087757597,0.7241297731755981,0.8040989017201378,0.8640401607547333,0.7482434746118481,1.0534464210894805,1.1520062291521402,0.9861824213806144,1.197085392922567,0.7637650869090313,0.7930822450532884,0.718205881231548,0.6819315555344406,0.8053469849683779,0.8321664847150042,0.870065046364457,0.763151237271188,0.6558121466644233,0.6566617493419081,0.658259311603653,0.5039177518947139,0.571585136428942,0.6715524534477859,0.5740177618807438,0.6196149158652852,0.7353274482673601,0.9544295941016931,0.7302248920300866,0.7231871399379638,0.671900029329337,0.5774344041862857,0.5332874452212272,0.5719441897762606,0.5855903643763574,0.5644903773973222,0.5740461970883772,0.6348019231639749,0.670201991342897,0.628117887509166,0.721442166830221,0.920182202562607,0.7712843985141219,0.8732575191491281,0.8936169759515656,1.1150070614150136,0.9898004763372853,0.9103005114866981,1.2413678925445804,1.4171682971951554,1.0292839966392495,0.8754932022931003,0.7641894503122716,0.7958709515130786,0.9485928178293898,0.7419785330709812,0.8320675505014934,0.9327170854702714,0.7445342014377065,0.6002820210066439,0.622031185453274,0.5902280143891603,0.46027144881452736,0.46903793421170925,0.4488583820848166,0.81740659611039,0.5593463989573338,0.514177917420825,0.564832891778615,0.7642854471572716,0.5255154393189168,0.9029232350999232,0.6767222346530878,1.7248900783444658,1.9750924144349693,2.699832094904288],[0.8910046458432901,0.9358988306743268,1.081199601743819,0.8239297488015662,0.7564213713543385,0.6501189346953634,0.4660532477559201,0.4693868197911584,0.5199486865380936,0.42751004228092576,0.4379604098168952,0.4865680539896158,0.4304312145514554,0.40999197007016697,0.45008232061035336,0.432753267621067,0.49668080287406435,0.5042369719183469,0.6331232270899889,0.5957177066704776,0.6386169155390451,0.8743367245985363,0.8368398087487684,0.878176700711613,0.8015564388556908,0.6922845487744643,0.6055059907272963,0.5616491158960882,0.5452419444698349,0.4589725207808055,0.4578399731894828,0.453277100171334,0.47735248131139124,0.4699629713084331,0.487373450632807,0.5044465965766299,0.5448848704923441,0.6353934312197743,0.6454353344863777,0.8267195350258897,0.9498703041389914,0.8375329080642656,1.0356438884608736,1.493488542807812,2.0475370561028448,2.9471660169078615,3.5660895379774606,2.4966423261249924,3.165531098984156,4.207008712904279,2.6876833013983745,2.3599841986335375,1.765030103044777,1.1317223041649693,1.3792220985335295,1.1013166139937107,1.0438922687214758,1.1368967047974352,1.241597878869396,1.2003815188214837,0.8806019520980766,0.7868180512697576,0.615364623839212,0.7158264265260591,0.7601925110879818,0.6785874246390071,0.7051166189993046,0.5637916072078211,0.6656568504454333,0.8467805263913016,1.060371976778679,1.256049195286961,0.9801735769513085,0.8083358831369605,0.6672973063817312,0.82239324877901,0.5772456845317313,0.530825281753576,0.5890877978623378,0.6741135553782281,0.6865142924462004,0.7844002863340652,0.9284955395622901,1.053809228700715,1.1746553013168108,0.6628144962796126,0.6452299001180315,0.7275600017653503,0.5630096092394645,0.593671013759223,0.5407425074867618,0.7672320718596461,0.6083716366297206,0.4966336322828776,0.47227061936007614,0.5675602562684218,0.6361952317615144,0.49276327194354397,0.4562755014087552,0.5249929837061645,0.47353831414357117,0.6017028737646403,0.5117417696882637,0.5714427549426219,0.5945951161090407,0.6397959666730474,0.7158201982326938,0.741506032198883,0.6858149792486764,0.7407936036997761,0.5590785722030834,0.5436397923267968,0.4555858561683246,0.4941024448339327,0.44005908168000624,0.509981402139586,0.5677759476846085,0.5989460666901834,0.648089782586078,0.5597366408938254,0.6043842898563873,0.5740790884606609,0.5917282296624239,0.4339544881606076,0.4134161468290805,0.4692039674526439,0.5850307396708562,0.5886938013840267,0.6224539406350671,0.6876085685110119,0.7641113062117785,0.7768089179908447,0.8058344291781839,0.746050480211152,0.8127337744180245,0.7740154218544977,0.8839404636275434,0.773961168297604,0.6250956915633283,0.6169205411454154,0.6325467871838182,0.7416666038154309,0.6004853432062263,0.596731981183675,0.702471245748793,0.5809853341578044,0.5681720567691231,0.4973208054777094,0.46706539769063626,0.4659528816542346,0.48371738068379083,0.48544917363745577,0.6690518455676117,1.0798733087278858,0.8891564668906047,0.48185922431867295,0.4367394503301653,0.4698303746012145,0.45133930098791625,0.5243545252799819,0.5629630540730423,0.5718822470278901,0.638329257281484,0.6954164254721807,0.7809297329073861,0.9955028650035366,0.9385579678940024,1.1947308574092899,1.258811388434582,1.087097659180545,0.8946386460738024,0.7387882184415947,0.7052220585088198,0.6599524025467758,0.5984540220465658,0.5618416096404157,0.597053255641921,0.6244664894291032,0.6447460289980872,0.6610805132441957,0.7815163086839543,0.5847516698923473,0.7342919679187769,0.9853401130930616,2.2208610120131573,1.846751000432812,2.0052683535224447,2.12984027529633,2.3425061660876954,1.582804440862528,1.5885156242334293,1.12054928332719,1.6863553315317181,1.4175559268188394,1.2728810341539616,1.1719111248807903,0.9419562186863908,0.8934723871092611,0.8247392906976116,0.7900918844186999,0.7141490860808806,0.6412176282057082,0.6242344536028945,0.6556413169002414,0.6603763466312149,0.6751668018755888,0.7383759217379523,0.7637855864908604,0.761623435018754,0.8845297746785264,0.9742224192964993,0.9889310021993211,1.0003254963145967,1.1486659858506711,1.2043047406485596,1.1683708727512532,1.236473690048787,0.9783201641889899,0.8522557009498026,0.8918610683584469,0.8451828025553608,1.1530330273908853,1.0492740140966579,1.0641663894915325,0.9131508498189617,0.7527934055072463,0.8693257505755311,0.9186796521461762,0.9709805934131212,0.8517130985699759,0.8364069167185977,0.8779721322683129,0.8691823592941716,0.8204248245980641,1.243227450619895,1.2170785915236362,0.9962620664117459,1.2887870039920806,0.8305968569790554,0.951240028302216,0.8462137658514112,0.8310456567096408,0.8917775734458592,0.8951968575014069,0.9405469939455976,0.8297749293168523,0.7970716637726838,0.7741026177435576,0.7353599046555884,0.6524147287005487,0.6906101167772417,0.7437882497177455,0.7336160595195169,0.7584770894900474,0.8418811821101256,1.036096036560047,0.9048337175234556,0.8907797354885689,0.8411053830231507,0.7553572895761074,0.7141891289066055,0.7117931324400434,0.7539064073880921,0.7477376465946052,0.7067881164229165,0.7574001327155142,0.8075597415120918,0.7463010468411675,0.8425455250323214,0.9926188624804801,0.8495085697370444,0.9168255832714677,0.970250072710694,1.1081224071811233,1.0120122917669307,0.9267735509908427,1.3559824702912344,1.5087672342486507,1.0951808531894216,1.035556950315329,0.9459343415582614,1.056601327265166,1.233174096680176,0.9014435175788079,0.7995023120656494,0.9215433835529573,0.7779622811514009,0.6754845782524073,0.7034182355441617,0.6253065632709165,0.6200742605697505,0.5730105846557979,0.5783777595525463,0.8697966775569705,0.6731599193155753,0.7487928816049,0.7998937012823758,0.9308901847241462,0.8656156300882528,1.2426371012330446,1.0690387959578587,2.1371348236275076,2.488807542249976,3.2852028790237515],[0.5029847596595056,0.5578715151351686,0.6186922952213336,0.4350754700229338,0.5668063737435792,0.42208119331881705,0.3590696610085342,0.3730762711603487,0.40386143217552245,0.35982586579953124,0.3649465591721027,0.4380131964047633,0.3924455351800674,0.36875082080076654,0.43881310577516874,0.4214909265747248,0.4779058610885036,0.44288047923286666,0.5186533631878817,0.5074117264360863,0.572029941708409,0.7514219120910025,0.8110016992723451,0.9042374861482653,0.7584332944919843,0.6179205232349739,0.5008297177935204,0.45058551666298924,0.4550594339403649,0.4080615814548808,0.45150992777351945,0.40519828046615275,0.44663430713870256,0.4299419280866801,0.4149179048235593,0.4451553195365708,0.4378351657780682,0.49473093858478007,0.4960104281343834,0.6697756837962483,0.8081359714476356,0.6533612771891905,0.8950364317662243,1.376706124086728,1.89672200471637,2.848721071321969,3.5013667282593404,2.3794829817887653,3.0997490346137857,3.980657317781475,2.591900263153842,2.2618960166852466,1.730337546567208,1.0999996788244597,1.2592193336205126,1.0079404218834935,0.9557212154832918,1.0147288035456576,1.1091866816380451,1.1680576035819685,0.7464836690635629,0.6468799197100902,0.5681286445384331,0.705487471007193,0.6420186409693421,0.5867317748419735,0.7215746633875634,0.5104865124472183,0.6668322211769787,0.8911656627192008,1.0885097869184643,1.343059372650817,1.0294232318307182,0.8510347619161096,0.706447003800825,0.8949780661738884,0.5483080249785811,0.500529545882765,0.5016462831800439,0.5666070892261693,0.5233853157383784,0.6202427854616325,0.8633127536285923,0.9200299468411368,1.103928733772218,0.521155191751539,0.4920163776767939,0.5764496104863601,0.4640005076165129,0.47574321717252166,0.5022402909027055,0.8056589161615356,0.617193698104529,0.4988338013424696,0.4658286481864036,0.5973138255711911,0.6340604667171649,0.45295534380207914,0.4317753023489591,0.4945913739226594,0.41939413222702077,0.5523448610057456,0.4869404552927944,0.5067022435879257,0.6015677715052756,0.5768744789332605,0.6890853815146581,0.7550191448602798,0.6914593741635796,0.7495501364831288,0.5706925842951693,0.5245952621758116,0.4216811960761537,0.44984206937461757,0.4086015772549876,0.42185565953304727,0.42873192467460103,0.46925810352383607,0.6192188989195907,0.47976227459953497,0.5235997584529846,0.5205278437582311,0.5177399019794202,0.3905618041709972,0.384389195633157,0.48961537602465677,0.4962972998540773,0.6016947161503506,0.6155687525541123,0.7042781285599214,0.740507784245639,0.7449554939090325,0.8070395034595953,0.7337374882594363,0.8101125401860538,0.7741150411407195,0.9149055644144205,0.7612736364223989,0.6127434497229668,0.5354060698110028,0.5847497695741084,0.7078610955372252,0.49889706699600606,0.4697815888786669,0.559752979140653,0.4475295178329295,0.4398117267135569,0.4300167956394396,0.4162421829294963,0.412921598235199,0.44347613742539566,0.43122192835291095,0.5994917067296246,1.1037539807713375,0.9016747871186471,0.43595072430749404,0.39407021873857234,0.4159881967471258,0.41983065586153817,0.4802551044759997,0.5805103984119657,0.46669060755143515,0.5308272345014688,0.5807707361086684,0.7461482140508098,0.8470729326621237,0.8906613965706619,1.1947355314693469,1.2493806748593521,1.057426446121855,0.8692782586292017,0.6918731802789561,0.6551764543604197,0.5957636672205444,0.515529021848686,0.5026609242666313,0.5568097183854854,0.5985896809483363,0.5658847669026265,0.5824540430628025,0.7153090347026364,0.5744424290174676,0.8024109086425821,1.0731223951456599,2.217349383517554,2.0668510738954637,2.2113125780052907,2.1928035045315113,2.31045664597252,1.532907364590158,1.4299515439938182,1.0283763431904598,1.7465446493143824,1.4774213745569518,1.3093276097750235,1.1601399890048523,0.9085052961017022,0.869905399149563,0.786536020682413,0.7626897808750435,0.6541313098372225,0.5839571287343559,0.5839151046388955,0.5684010540546315,0.537585749420511,0.5356885171702921,0.5484479092381949,0.5559482673156346,0.5575157471821908,0.6492031396605503,0.727890762004567,0.7598721876687989,0.8139168418260772,0.9319919246035193,0.984705050976219,0.9379004378291695,1.022922929399806,0.79125035677786,0.6767136318103455,0.7067819573595145,0.6977523817970445,1.0927222446195137,0.922812160344914,0.8755500735058125,0.8542853317741682,0.7091143526025714,0.7942888984940567,0.843524865490968,0.9263110483588525,0.7793085210663255,0.7375342729925194,0.8117273811117862,0.8162272172090856,0.7689480685198972,1.2654880812195917,1.2293982817703486,0.9900432885336011,1.3256964658803194,0.7838125586102536,0.8678219728114135,0.7927213517529069,0.7309960821132717,0.879183042245564,0.8723772446959472,0.9577391433703297,0.8084996164690168,0.707111363641354,0.7533232478030573,0.7449575848291703,0.5575906096049428,0.6016193629646677,0.6980921276682711,0.5863092718849737,0.6092984630639932,0.7179102981980585,0.9213588100466393,0.7036529759302275,0.6848827648442274,0.6444629561068123,0.5796805364058253,0.5555928828638693,0.5800327559713513,0.5883811249705381,0.5657979437235112,0.5820012398460139,0.6183100573429886,0.643691036397211,0.6280935294259476,0.7439809914404474,0.8380440527552542,0.7156291560980059,0.8796618319801187,0.9117774738507286,1.1184606865209592,0.9802280504308644,0.8578009074096357,1.3319395715301097,1.4127576784159839,0.957737666056495,0.8021999349589592,0.6921370056975539,0.7470400156077527,0.8740515302786551,0.6784035884535404,0.749968071608582,0.80096839092881,0.7497488973807981,0.62801164253258,0.6701535166242382,0.6167402001394532,0.5297925326403894,0.566727535832284,0.5443080692619673,1.0129690798876578,0.655984851620345,0.524920795768135,0.5944570352965924,0.8576034516602496,0.5282401960882567,0.8559836760460695,0.8875375737968333,2.055738284741984,2.4208998079617365,3.226412018589283],[0.5240325827207702,0.5818454578018878,0.6800360193606214,0.4637235783554411,0.5822829949567992,0.46974509410693044,0.46961233666107577,0.4992257134964849,0.5709801068739119,0.5874586767491624,0.6185609580978793,0.6545857882439482,0.6289354660383335,0.6589867588354338,0.7423720251759417,0.6941750657778751,0.7352849678491754,0.7125014705916676,0.7213482999145815,0.6911046024314896,0.7645677537117287,0.8872800818026554,0.9828633077767363,1.0474238833862055,0.8811287059638818,0.7620493973586098,0.6287723636627078,0.6274168442540267,0.6439467238389708,0.6106149052587295,0.7419339327506163,0.6223033477652654,0.6956044842626171,0.7067628001278153,0.6505539461762577,0.6815617885328701,0.5839808020702759,0.6143606217643182,0.5806053433870175,0.695446831231156,0.8069454963264533,0.6706115295321871,0.8949781187536185,1.3252021565918493,1.8461228729586756,2.734730367673927,3.505455162103522,2.39619853598554,2.9451324576340894,3.8090180044900346,2.5777793604219674,2.2761643587685882,1.8178344334704915,1.1835904707619083,1.3184323292129958,1.068409443692893,0.9845842944503821,1.03257225028689,1.0971488214534615,1.2423422837404465,0.8288651873500574,0.7501493517089685,0.7788218571332589,0.9126082108005755,0.8123885909702774,0.7678352091576461,0.9189467363329326,0.7650262380683586,0.8728462679582422,1.1301899197496552,1.2879986168603743,1.5462876682860034,1.236111752108916,1.0840003648740186,0.9592289582267289,1.1630578845920314,0.7952447317381527,0.7678808160894547,0.7153057200164973,0.7177187983416702,0.6323078994555401,0.6843578877542649,0.8490534284319006,0.9642062810374215,1.0934227812203974,0.5815705681708896,0.5995686875903885,0.6803971183128688,0.6557175812773726,0.6880870460066032,0.76110420835799,1.0414532997827175,0.9007965068282082,0.7994867337965097,0.752138917066899,0.8608310883127069,0.885578898462834,0.6898118983672773,0.6558907159447572,0.6412006068159993,0.5947152610834131,0.6362735331760248,0.6394014645619995,0.5816065485672836,0.7162582439073806,0.6245066932674773,0.656750261215619,0.7088164134107884,0.6277078765239634,0.6891465764717557,0.5492340736067998,0.5492887457777433,0.5076612019560994,0.5185094621026741,0.6140529058014959,0.61180349170293,0.6232894645226517,0.6253830059287825,0.796943531775671,0.7086682591464251,0.7691274158184915,0.7899540870267587,0.7554508312082798,0.6156419661659467,0.5594907056881717,0.5206587560665875,0.5123781249123969,0.5773437690527491,0.5644624141935781,0.676438946227046,0.6550652501911173,0.6814398454301834,0.7553322609554961,0.7074070570363189,0.755688645398505,0.719527310009152,0.836656120189505,0.7150723260110489,0.6348380064211793,0.5847907646021978,0.6570130707213593,0.8219924001912102,0.6271340695335615,0.581244318554127,0.6403027421124331,0.5622052508481505,0.5585849031787377,0.5597223521937712,0.532606003897091,0.5521050558662989,0.5342962069589011,0.5553168428099502,0.6433605379966385,1.137432882124643,0.9684045912239412,0.5831360450450834,0.5776515346956077,0.5325060839782796,0.5752382192568293,0.5613173298558595,0.6586209834339549,0.5584471195849388,0.5927412025398459,0.656125858297468,0.8075989434551689,0.8356752892347135,0.9126949791139823,1.2272951484404913,1.2437357656828194,1.012517744446772,0.8405859029261826,0.6922986101098747,0.6826371975453632,0.6442848361279515,0.589723804113939,0.5795989198809631,0.6571804665389088,0.6661739097960099,0.642560242582555,0.6383749218372718,0.8158227792150741,0.6283728516256424,0.8700781016148541,1.1706943643134435,2.155023029436368,2.1523666749137647,2.3232678838714564,2.224848205931173,2.2545929364200195,1.5434115407100208,1.3918962460070141,1.07014345949393,1.7608660642751388,1.4440164291167232,1.3207728914977228,1.2295041313567658,0.8483266114849003,0.8095058269271592,0.7338525693993581,0.6727677816517122,0.5971344155607181,0.518773820457455,0.5038840571960035,0.5112653866674531,0.493688574701939,0.5030755172858521,0.5477918009779168,0.5684222051837007,0.5535669948841931,0.6612377525692223,0.7590194795280693,0.7857575462005847,0.8160681831993551,0.953820165971133,1.0283978119283015,0.9899906012068713,1.0766423418616862,0.8692636180511008,0.7220854978846191,0.7548389724234896,0.7290295229838082,1.0966592365157397,0.9727500927583966,0.9387358441310408,0.8772730597461634,0.7002789323277111,0.7468479207738928,0.8286961706405492,0.9116299161275223,0.764825201632925,0.7381019576952682,0.849570428104347,0.8381174638204825,0.7603053145202524,1.2178006272024668,1.2378140200496028,0.968892409999649,1.2427016406109324,0.7490411254694881,0.8508446679640982,0.7694857896000108,0.7071257579416156,0.8442156646069676,0.8157498926566628,0.9284295534392734,0.7684670637875081,0.6911920061351459,0.7216969541019125,0.7041892580108864,0.5201980846445905,0.572403375182863,0.6795178838464151,0.5730084581476297,0.5944310754136357,0.7002494572563394,0.9231012493652823,0.7026359417602064,0.6876496731884387,0.6527137598533905,0.575382000772542,0.5479159553800095,0.5735712552681725,0.5893525897712163,0.5746742726801869,0.5747849800326578,0.6404921210373226,0.679091437495,0.6305227776726122,0.7666557311354771,0.9094583087732283,0.7507130780451452,0.8764937595168539,0.9643811865114655,1.125616673929837,1.0048344011564685,0.8693417024935975,1.4192098392826813,1.4346025385670695,1.002195428368343,0.8803618297981352,0.7458919928100841,0.8051808838958574,0.9794330283637047,0.7271733105823988,0.7440957272152169,0.7628664762892088,0.6835444408946073,0.5485959218550809,0.5777839855892952,0.5345252272745284,0.49110615244891664,0.5306904081992994,0.5149705104481106,1.0174542760290208,0.6623299119793137,0.5465373377748054,0.637370154135558,0.9194890205437951,0.5653292138422359,0.9013080344323132,0.9012219932409401,2.0608539510025,2.443949714579262,3.317542388805489],[0.8782811365264499,0.8762171409272655,0.7630189424729816,0.8672175375150084,0.9815502174749104,1.1934725461200142,1.307568726573102,1.357293912190784,1.4874295563333095,1.5165643820579018,1.5525118801947602,1.5663070622708837,1.5208526655607617,1.538456836966582,1.5631839487346015,1.5395962976728956,1.493817171251293,1.4457565985466148,1.3219934464775205,1.3239039402274657,1.3028253187136605,1.3227331365453123,1.4193911717609031,1.3354187034467024,1.3863402054399843,1.2992180036198657,1.2689723890471674,1.3327138197612902,1.3980005535439912,1.424672622776165,1.5178411849755842,1.503622259481915,1.5612585633177225,1.5129539881688634,1.4443564046815982,1.4049919575213523,1.381750137419632,1.3018650607256164,1.255530049709841,1.2612817294499143,1.2355830351477497,1.1786410373205487,1.2672172646308384,1.541094693564391,1.9618887808767296,2.996840387800888,3.6245379734583083,2.475250409615306,3.2862221492886516,3.948480987787825,2.749911039054732,2.4271830405148247,2.0143099326004372,1.6324117346659257,1.6870338504828386,1.42337025368971,1.3236995322368286,1.4549552174262175,1.4899200670584392,1.484952168061539,1.3013326799975644,1.3068887940332388,1.3845623528525088,1.4327956503354469,1.3496841707973632,1.3313468492835507,1.4541643042245829,1.3966013052213577,1.386337092475979,1.6527455363359083,1.6927668212787175,1.8444216211769981,1.6833151181154282,1.4625820100606206,1.5330357637321894,1.5917797877413526,1.4078488738792427,1.4195211705675725,1.384758869826134,1.323847521299976,1.3297721472952435,1.3376692919294342,1.420912981523913,1.3936306745468365,1.5505033567441744,1.2788200385002872,1.2968915072130773,1.3850625250046007,1.354009565710719,1.4188297670907586,1.4499169815575856,1.6173930220524473,1.584278917207461,1.59871832343698,1.5859807093029061,1.632130327744215,1.7124537068465524,1.5638239627582056,1.5588363637733624,1.5690857231108832,1.4731014397352535,1.4373421185312707,1.4523125853258698,1.3126465894497428,1.2990241710116983,1.2351793218228482,1.2011788690288248,1.125404962443521,1.0243336710358066,1.2074179627112134,1.1334266206891848,1.1895968922017879,1.271466559940811,1.2497511268668886,1.4428980291313505,1.3487529001021734,1.3615873620696983,1.2273132939309075,1.3684860733733564,1.4051476044606703,1.4433424610427312,1.53733859574734,1.4705294880680015,1.4329022700066432,1.407999764523358,1.186123002052224,1.1519344719804172,1.0895485137371075,1.0024496701805437,1.106672397479147,0.9044284881951519,0.9312789827404393,1.0036602102541656,1.08628933651248,1.0605167307734185,1.1219550921893042,1.0672804134246474,1.0303911663834926,1.0121366668162923,1.0717032689941437,1.0887783740389985,1.1770664953222745,1.1661468007453981,1.1625034300417074,1.212528769518077,1.2615696006725086,1.2573475996129768,1.341398921873445,1.3164119398581975,1.4035595592019203,1.3346188512897983,1.4646678185722792,1.4647473237851256,1.8957386982790507,1.7938909057257444,1.5089326994975214,1.4866825454878057,1.3800971593603222,1.401400147317459,1.2742414658054535,1.259657554261461,1.2768053830364492,1.1500889493493132,1.1851803576868667,1.1495550915463113,1.06172008408821,1.1200321074585071,1.3372035790438532,1.3127891694102805,1.1826366797499182,1.0724892651074762,1.042517670419902,1.1102552954666933,1.1688412603865146,1.2110460490557498,1.231860055718575,1.380351331275407,1.3553598360881696,1.2616197303165848,1.229256783920558,1.2696786806829614,1.1625324103408294,1.2308579196726621,1.4450394505317077,2.196894195193798,2.310245994770834,2.4621877373040495,2.347497722806129,2.277687810391496,1.6623222193231593,1.6262080848813163,1.381923719602924,1.6930072774162572,1.4965203019338227,1.3378977271270682,1.171060102222943,0.907900777104721,0.9012028365220366,0.8170250255902068,0.8994878818526721,0.8193254013265858,0.9177147491815548,0.9108951682789802,0.7759739304360399,0.824074396703933,0.9343940610770952,0.7840124653039385,0.7964277762308338,0.9256169124241365,0.9862853182041758,0.943958718502957,0.9892773065158186,1.141997352551761,1.123551088936852,1.11513376308702,1.0685319294889428,1.1022282073141805,0.886186286799114,0.7969110383083474,0.8347612920752984,0.8077309429970405,1.231807198016559,1.0024982112778729,0.8931133591464254,1.0208635888966147,0.8878587733616589,0.9333573805130463,0.9097662956803391,0.936478142106712,0.8324168121876108,0.8139593354752634,0.8394435038743482,0.8388517902274095,0.7754419067344221,1.231313257529026,1.1768126381071908,0.9508361432510929,1.242639941723477,0.7881781825827339,0.9287542920311059,0.9129923828417436,0.9133482237703039,1.1672043162253714,1.177068417185574,1.3179440464474386,1.129123425992412,1.0605992215218798,1.2120924703762492,1.21218186142289,0.9923631276285857,1.1061825714393785,1.2356899526376721,1.0715041367231513,1.0335759575167027,1.171088481477593,1.3131530260762414,1.0748454051288638,1.038964240334656,0.9438556504054445,0.8932482098882651,0.873549901405788,0.8353226213313378,0.81013574030997,0.805244505317232,0.7613309896081358,0.7469726874225068,0.7736202673231269,0.7224051150824781,0.78936214476755,0.8931009018192383,0.7714250311186562,0.8563461024567478,0.9159897703830263,1.1476461274831018,1.0146223069043259,0.9278491077125463,1.4226240244869812,1.5064641266966323,1.0310292196842727,0.9079752484714517,0.8312981264401578,0.9292055508412467,0.9662129980421795,0.7769415433921983,0.7935118099729801,0.809848184057532,0.7867519359031235,0.7674784486564699,0.814574455848382,0.9369843560049085,0.9555100242952604,1.1146582151131788,1.121864237650978,1.6028242878911778,1.2250136354243855,1.062386435389658,1.1598667143674806,1.3803200451321742,1.0308941381847505,1.1005735374286305,1.3174094075399505,2.156762687963737,2.5517541235443773,3.495470466583187],[0.5312438708837426,0.6025141883993155,0.606251009601266,0.540257020553453,0.6199392040925882,0.5620655128526064,0.5310565532266956,0.5306672030858482,0.540370293654584,0.4645457318814613,0.4521955049787,0.5305650854529754,0.45924818202463197,0.41706826371016964,0.46959079481036,0.45389710087660895,0.5021705652523858,0.4354270773462633,0.4927941427821743,0.48885585551923233,0.5470455882162232,0.7422613976832451,0.7878966324875013,0.8736329426825858,0.7500152851324461,0.6035429545259015,0.49397911822670904,0.4458039545498789,0.45284752514396626,0.4350682298978446,0.4546529871878054,0.4335277004726119,0.47630036862197017,0.4431154403150718,0.4294936327039206,0.454138286785839,0.4505384443152626,0.4930321156591171,0.4945955291014871,0.6506194169040137,0.8149265987565518,0.6558623902270765,0.8886078262837283,1.3865937412460398,1.9038866203263052,2.899317000909575,3.4679518421557582,2.335249095773197,3.170021153027083,3.9985563116631013,2.5601270932576505,2.238382070319537,1.7042259077220416,1.1143153744278371,1.2438138606960691,1.0009474225148929,0.9574679069743831,1.0071473964031887,1.1084770849061367,1.174699804076392,0.7526262010995974,0.647390899818793,0.5574018921800123,0.6735199115852711,0.6156562245199315,0.5732298349239084,0.6800002306355649,0.4767711191736812,0.6172328137629012,0.8640966765729519,1.0647190985061592,1.3034516882621427,0.9826864630923907,0.7939036280812198,0.6646495979392237,0.8697160821622534,0.5199310192939112,0.482460595878754,0.4988820798429039,0.5602742211078651,0.520698708035654,0.6177143359229356,0.8593889493444029,0.9011596750641286,1.1012897721956476,0.5203553633016978,0.4910713602007247,0.5753001172493493,0.4574023055754795,0.4724573370791364,0.48757227991418844,0.7795241085860967,0.6067290680895461,0.5009761445320696,0.4764330910466362,0.6023786388265746,0.6675798369344664,0.49564380930007995,0.510437602876613,0.5662060306806643,0.47916020409297483,0.6093810216852779,0.5543361588555911,0.5677373842498052,0.6917603721885449,0.6211836997224458,0.6900011363134577,0.7477772983632076,0.6894894807964856,0.7578923197746218,0.6287912930089634,0.5798697043141184,0.5249490349274747,0.5002562361086683,0.47528411508791224,0.45061309758321333,0.43179899525272875,0.45521608933894375,0.5793714547346519,0.45803864091200724,0.50231380789907,0.5425208633026928,0.5232375692445054,0.4552327691623021,0.5121517383567573,0.5504025540956765,0.5671273978366606,0.6345598485944132,0.6223433943526605,0.717907261860015,0.6890362043947598,0.6964273869129889,0.7691615183048417,0.7187580121349477,0.783890805022612,0.7634110874785334,0.8911121034041494,0.7570277928859905,0.6272008478961676,0.541579719971572,0.6094144049690997,0.6887824364091297,0.4862063036473958,0.4644511588959192,0.5565989153963904,0.44704419328517175,0.4496556347951146,0.46384937206446986,0.48185893007839875,0.5222292284817569,0.5500775038600555,0.5617576108435606,0.6612283566588253,1.1578424020233118,0.9592698138406272,0.5423874311610458,0.5037646342458253,0.5087880835764487,0.4857298329035786,0.5469126214449641,0.6351962706476824,0.47641052418251145,0.5339214317883281,0.5824135781586041,0.7460434856154358,0.8182056544125159,0.8536164674942677,1.12569696246183,1.174649031548213,1.0300243111739058,0.8445027115810576,0.6877118982948079,0.6599707030301724,0.6112927402696545,0.5393049494879235,0.5356729575457374,0.5961652513502292,0.6222407406191637,0.5898724938030676,0.5925102144009643,0.7421102822178031,0.6182967819618039,0.8522013504905172,1.1263366962823194,2.1627524499054718,2.109137004390602,2.2163260295576883,2.1714005510024212,2.302014224230315,1.5074760946866634,1.4653565910775912,1.0361226160430188,1.62643213832758,1.4014591897421178,1.2244278900321228,1.0454382829271032,0.8255621579024756,0.775839427158007,0.7101617028799571,0.7128764341108845,0.6328547295590141,0.609955367505681,0.6063751289536489,0.5869917411842321,0.5879801227768655,0.6232119666575735,0.6183563010397441,0.6277176180193572,0.6490686053675548,0.7421147280585116,0.8074425317727554,0.8236426602514082,0.8838480116252876,0.9820158158151889,1.024749479584266,1.0200301262552667,1.0501450608869123,0.8440432860068755,0.7126918384549116,0.7405888566774161,0.7383872018991774,1.1799378567977432,0.9786917337062301,0.7748552890156585,0.9169162918510244,0.7436589588061785,0.7936392110181253,0.8185810727328555,0.8529505006276076,0.7487780346978695,0.7026551862443754,0.7999908589575361,0.8058552075590439,0.7163168377195295,1.2127015223292705,1.128738890755694,0.9517648900562659,1.2272103562935117,0.7162675935307222,0.8135597554075527,0.769696041769803,0.7457921106852473,0.914176566002731,0.9275110060061043,1.026134583114794,0.8511691001252205,0.7755980911067095,0.8348397402226696,0.8372387923285247,0.6447381995988314,0.7088178181889502,0.8122226070409426,0.6904405065923584,0.6961053537843065,0.7940345879436785,0.9764252476148768,0.7899536105740033,0.7636259772998256,0.7154927173955021,0.634692263655565,0.612794047655413,0.6075466964061496,0.6282559979053647,0.6249894831752473,0.5868646223558883,0.6463798956124952,0.6870597968513191,0.6282908164209238,0.7223137300157308,0.8825565926678536,0.7367372804714908,0.7909451780336352,0.8361397123811131,1.0538425456359264,0.9318997240926105,0.8834674249977501,1.3468310999117437,1.4998253542785787,1.0272130069343304,0.9020776411783684,0.8085322439020567,0.8740065753366413,1.0069810143430646,0.7701036830928343,0.7541521849436869,0.8074151180361792,0.704950408329216,0.6057309067366451,0.6143868297338723,0.6070816892362761,0.5885678034726218,0.6688738697425507,0.6810177259583449,1.182582779906392,0.7882925267420016,0.651027831911357,0.7471457936588204,1.0024822388320997,0.61582295972147,0.8492735823546089,0.9689442816502253,2.089519980662998,2.5493249398541047,3.5727522026682133],[0.6355702954753409,0.7176235842736012,0.9146414258093581,0.6276705046773507,0.6984486356154427,0.5586440248770037,0.48066561075031733,0.5049348314318195,0.5850606830191277,0.600616602315506,0.6370683775724022,0.6434444136024187,0.6215806360586065,0.6668810692943165,0.7393963226840069,0.6691523534863036,0.7077022958436928,0.7030045526023798,0.7534496912504954,0.6598033163079758,0.7195594444540285,0.8545130934459911,0.9321960167704205,0.9641401451246684,0.8390463942987157,0.7112093753895773,0.5800858655077356,0.5878242628121034,0.6100832735691966,0.5617016746576783,0.7159741753229073,0.5665902468114278,0.6451287930797514,0.6582688327770821,0.5932170843920385,0.6284059974324736,0.5374938352431087,0.55949481159778,0.5225343919721507,0.6588805477138485,0.7405170617652986,0.6502673348777117,0.8675201313262917,1.3037145127001104,1.8482472199998483,2.7347037970575805,3.48176118137501,2.3945319111353855,2.949277361269782,3.8965015440608983,2.5772298909557434,2.2504441884349915,1.7697492824214573,1.1285719196575406,1.3068028440767183,1.0198123356191782,0.9253372462597319,0.9982360706058571,1.0711217597869191,1.1652616791931536,0.8051061658836095,0.72033320584797,0.7093943779102014,0.8428598659976306,0.8016748266108441,0.7241728706642161,0.8697290152502652,0.7441465602889635,0.8588936990406411,1.129664457946213,1.2896074310978025,1.5288454039095292,1.1957049574514085,1.0541825563741922,0.9116516241227166,1.1181304501337266,0.7412693981947048,0.6978773680475086,0.6431705044703536,0.6462505597982139,0.5962917303266998,0.6468724653047544,0.8039324814075857,0.9698969601545746,1.0646930831001344,0.5421258182908661,0.5483018505291033,0.6481801186842665,0.6009565432458776,0.6385183524451631,0.7154225116687553,0.9867831075762473,0.8829463584777034,0.766134534589611,0.7289375641222002,0.8363437909542489,0.898784893146871,0.6721909671030354,0.6404324145367377,0.6124583455460263,0.5598425132252622,0.5946654461964251,0.5849110370595589,0.574887649468238,0.7238827951097343,0.6372014895055187,0.6419316880966774,0.6751524407740315,0.6023937839609351,0.6326744894234809,0.5093780390945282,0.5013731038664923,0.4802121294637635,0.4537090717772213,0.5902121253675863,0.6040483224105004,0.6112511394881311,0.5987718030205033,0.7357255877786083,0.6975797115583514,0.7864668858861905,0.8295767888272401,0.7944680910577855,0.6114889132063247,0.5461486425487905,0.48802372498094293,0.554680623838433,0.5536335049863308,0.5606189357959375,0.630137101868332,0.646743582167764,0.6672963294053494,0.7083614798444325,0.6569830224285688,0.6810370963097947,0.6237314694165814,0.7948285358956336,0.650567931203546,0.566257724227744,0.5143548802292168,0.524193080220534,0.6820908406952523,0.5494093537239211,0.5092068579113228,0.5955525978958103,0.5090777209658879,0.5102013646914724,0.5095792735912599,0.4914747351538802,0.5378664031893411,0.5233514360381392,0.5498025790836162,0.6145046038220348,1.0802094119301506,0.9454691883738652,0.5566981488661664,0.5549390873719134,0.5112675509170546,0.5239788327394191,0.5454683817979508,0.5953731355048784,0.4998824362370631,0.5167882291671484,0.5917401286340738,0.7182641687036407,0.8063843165395478,0.8641377598248433,1.1609927787130878,1.1861933326149416,0.9662761750227419,0.7871078326250508,0.6244300833253139,0.6081581038752825,0.5762507413355303,0.5246543792117013,0.5310313510882373,0.600436329507876,0.5964579205098933,0.5796326919139444,0.5871316078398302,0.7769156354472853,0.582293994295176,0.8029116648679379,1.1266531184186348,2.0221361147452903,2.046055771132916,2.2181974494317593,2.15004160332536,2.181325919346503,1.4969996741230243,1.4415994932381992,1.0438881182786552,1.623609292505217,1.3248840679591147,1.2428130847611303,1.2208692658136704,0.8538793609974842,0.8255097993259828,0.7986605866349465,0.7091912802271465,0.6877145271182018,0.587078498683538,0.5551739775784706,0.6324387034692146,0.6112852371929289,0.6081760702467679,0.7260877642666655,0.738619576365365,0.6730986683982844,0.7876767869724308,0.8998182360225455,0.8948080318476946,0.8775034087576764,1.0402305226080468,1.1216330092094755,1.143032619191711,1.1655157508345346,1.049717991003996,0.8719720211725258,0.8941935269014166,0.8580629950096577,1.1432443097428282,1.0766866175808478,1.0683705631033007,0.9824989841285018,0.7981556897198907,0.8227233615335424,0.9210007890720071,0.9577167676901647,0.8616337473748205,0.8585997930422393,1.0028152719473633,0.966402593504103,0.8692567565121168,1.2218348977994258,1.252409690171398,1.0672188633352464,1.225855617915814,0.8365636317742712,0.9166221376019028,0.8466577346338527,0.8158062353281329,0.8759851034067464,0.8634898249578334,0.9356909062554757,0.7999409668518793,0.7872992772820633,0.7538615959381048,0.7082597201571287,0.5799149852612288,0.6101807902023879,0.678079424113234,0.6283412352985897,0.6497961498356846,0.7214293623233936,0.9311706032639404,0.7826873456761271,0.7634027440385375,0.7426703203635888,0.6748166193179831,0.6601724816152348,0.7026112847412309,0.7145900044336153,0.7156389046984446,0.6990842844513404,0.7788634139363096,0.8317555141664349,0.7798299427591574,0.881783650225836,1.0673597063891629,0.9383347278472971,0.9626024317922166,1.0749462278938156,1.1861254445404597,1.1126242215746742,1.032766821168907,1.558317889607903,1.5983927169480274,1.1539687561222975,1.0967196874418286,0.9855561571285014,1.0146250810479174,1.2634682028891868,0.982500360214379,0.9260045445719016,0.9652799462277301,0.7961863503656772,0.6511883239218055,0.6312057372446687,0.5420432240223402,0.577267455725941,0.5355263357420162,0.5337054720995872,0.9688366496252022,0.6563672049246739,0.6635898650107606,0.7179513459615818,0.9534959529579169,0.6867350682126098,1.0202249414594178,0.9784235143039903,2.162903904249408,2.670521875370048,3.7306074671807425],[0.6266897840506833,0.666249372509147,0.6707765891470885,0.6241215387300463,0.705720620653829,0.8860247461737207,1.007706498491682,1.0620857063005296,1.2130682720619508,1.260103374205613,1.3208797039152607,1.3150503039073633,1.2505983980671525,1.339860291769428,1.3903872414633516,1.2921333936861301,1.2481909983215373,1.1845420937058837,1.0650660083808035,0.957426532723825,0.9431190377661239,0.9790912948527273,1.0171667842312009,1.0360367896854428,0.9070865615873199,0.8671299984695883,0.8038471408065332,0.9264731271020048,1.0371181017299569,1.0959979128715345,1.278452473657254,1.167015185660974,1.2537463805757811,1.2111266085191388,1.1121397695816762,1.0901404602304123,0.985812542353285,0.8708766464599641,0.7528154969931073,0.7270574132902603,0.8154054896702109,0.770747485976224,0.9146688976462664,1.2878736553331953,1.7832118481737278,2.713517915030601,3.45698533855489,2.2937153237109635,2.918086310480578,3.6718457021112614,2.4950427037845637,2.179624848998865,1.7974216894606527,1.2241271302772827,1.300960999660663,1.0696670663906345,0.9848188498482628,1.054274203302113,1.0895221435919231,1.241104552932405,0.899416848526242,0.9160612771186812,1.0158814001403418,1.0670058462491945,0.9831974316033213,0.9563844522055137,1.1494095653585097,1.129679512704451,1.2104938946494463,1.5635859501281313,1.6354477290521843,1.8315630790546256,1.5760355168355964,1.3617502177120708,1.3230155499104712,1.489120916755067,1.1131036740751752,1.1243093145784988,1.0275721582954547,0.9423951819026897,0.8803741826676637,0.8367908573463902,0.9834585127066304,1.0831634455732793,1.1836238791454239,0.8090833085546815,0.8319313862343412,0.9823778097665025,0.9877056848381895,1.0818999980885777,1.1770737103465454,1.4226769503947974,1.4020610107965636,1.3674382905128668,1.3554150929451592,1.4645879157464547,1.5113630594824738,1.3181249958625851,1.31107209426827,1.2689123279303725,1.1617267434390264,1.1068404536128211,1.0932635387462617,0.9629162586286291,1.0265898847499852,0.84446989613718,0.7960760173144795,0.7577909498667212,0.6837890518007756,0.8373918177464137,0.7909066599532145,0.8370102045855493,0.9519488829101961,0.9043303279427644,1.1464665873825997,1.075628398226119,1.050632570800417,0.8769323835362306,1.0366127820013524,1.13985664043278,1.2620676494871081,1.384180285041963,1.3147455609772198,1.1977122919352157,1.110931574226907,0.8985910230237978,0.8653658326093645,0.7687492768514825,0.6560755168441063,0.7718674201322542,0.6074473327986019,0.6479331329079059,0.7356417005274736,0.7580569168763001,0.7393087000795624,0.7252634235008121,0.7850423212220207,0.7028851727533888,0.695294049436429,0.6812505005583799,0.7311096089402166,0.8664264707737996,0.7316734861972582,0.7375841723108845,0.754612037068517,0.8535153549343634,0.8832995974163327,0.9825809152673851,0.9528810109422154,1.0759646240784682,1.02700153319455,1.1512941070409861,1.1249829578464845,1.5667376112755158,1.5085479710590548,1.1961608301020001,1.1862649524189488,1.0535155163219512,1.07475256008517,0.9308747835611104,0.9459670942936925,0.8293326158032192,0.744265537919832,0.772566758445322,0.8311026068063726,0.8521077958623384,0.9389149372951267,1.2541418939085733,1.2227847403110155,1.012675683617176,0.8381773906213899,0.7219007635716804,0.7453917405616362,0.7797513748157603,0.8051213694713429,0.854192869569162,0.9836609384396721,0.9411342514431643,0.8527379251400006,0.823721955540619,0.9475796458653967,0.8211888017961343,1.0246101963013194,1.3540134379468183,2.0443969088159273,2.294673545437467,2.430396448978505,2.2394164926325213,2.1344168037521514,1.5469702837403414,1.5015988362909063,1.098283003188778,1.6238977144697426,1.324860907052378,1.2056760607290908,1.1435521342833082,0.7582575946930005,0.7186130143475902,0.660348353962185,0.6376492693099771,0.5786135720559008,0.5889790272970553,0.5772918927677156,0.5222983610049075,0.5376890775816964,0.6311266168363101,0.6033122781807667,0.6115104377223937,0.6472512055231031,0.7586905484334656,0.8010801891632696,0.81107850601142,0.9039474742946564,0.9864315500255268,1.0216678727332216,1.0219332162496908,1.024143682533044,0.8826431696197092,0.699834943808836,0.7238350951289777,0.7063727755150051,1.1053912942624804,0.9673801846528776,0.8386069218818689,0.9093730595121282,0.7127806568885462,0.7380483152634155,0.8044709697957322,0.8210918307698517,0.7335593462555606,0.7167828681727801,0.8920700288931611,0.8530679373592521,0.7449950411448786,1.1934694264596244,1.169932031710477,0.9815997525711455,1.168999296002671,0.6942283759546273,0.7696602438468733,0.739865839156882,0.7246023409561205,0.8850237715386408,0.8960810017244699,1.0373489239268545,0.826559795882133,0.7921570971990384,0.8923835803914029,0.8895940080275279,0.6658945449630213,0.7731442098918725,0.9156845069201073,0.7525707837961004,0.7234550723443163,0.8479961042739012,1.0341946768620796,0.8065137868253325,0.7649992489790487,0.6914714641250116,0.6051944754285428,0.5901936386913519,0.582018891503874,0.5766516320702805,0.5872678773770227,0.5465730844181507,0.6181530801720977,0.668791968169776,0.6066250187831558,0.7318494456263249,0.9350716227353811,0.7864053675623427,0.8101611570395771,0.9446019269017111,1.0853706401878451,0.9979881821782051,0.9197385192213059,1.5104731857061664,1.546780622512428,1.0406353143677478,0.949878274277047,0.8281830753777278,0.8919056274052437,1.095452806684368,0.8246719325284121,0.799774537885837,0.8359081494570375,0.637631263995403,0.5160491781596829,0.5221449310591717,0.5510261353729963,0.6321460518527444,0.7830993283141255,0.7916939386560297,1.4138898508110909,0.9559482635932451,0.7857725911335626,0.9670146392848962,1.2706506417536096,0.7790160662114044,0.928946685174682,1.1208658636158273,2.068808346701836,2.59171313149206,3.7857480362399687],[1.0028528387193576,1.0595649797797433,1.0294013634959598,1.0587162350890715,1.0866316606410293,1.1541749174472034,1.1835933218314674,1.1368079627076726,1.1002868028318975,0.981708592352471,0.8848303393234052,0.9782323602529454,0.9008690786703598,0.7929967612658139,0.7944335465746679,0.8138115478899747,0.785626836251336,0.6963548922270433,0.7324729072917637,0.7544514497352572,0.8388305415435261,1.019468297901479,0.9800349958328191,1.1722729968850172,0.9770317490506516,0.9009159444579303,0.8082455783818809,0.7535765668809581,0.763975341869162,0.8182475822382692,0.7400432324793065,0.8248898477409082,0.8342306522569448,0.760654660872139,0.7722641249621399,0.7764447453117833,0.8102156749686068,0.8236403639149412,0.810681029559839,0.8843917698630459,1.0783964200696203,0.9805855123852852,1.206854389728754,1.655692878649951,2.136847335985855,3.123645033385307,3.5713360080354337,2.434477077749888,3.3561043904088503,3.9935308521757893,2.6419900531309386,2.29968428241216,1.8673293646255444,1.2661862685097862,1.3913891359579276,1.2598505677027108,1.2606274428902033,1.23911906729403,1.3018451372124396,1.4294884176354667,1.0359590131217498,0.9334244308529543,0.8331014279462019,0.9150882982179589,0.8806308629235363,0.8390074462177745,0.8369893624531819,0.6976413492661014,0.7432179238470128,0.9470856944362606,1.1031257116334905,1.3138553572136187,1.020475050864257,0.855881672731956,0.7985281847980555,1.0064598330268104,0.7696755040090759,0.7510209191877626,0.8200336429543689,0.8840054629488405,0.8008311214100207,0.9127114446092316,1.0763045519694936,1.1416777784624188,1.3565911435172195,0.8521623982283514,0.8008259230248571,0.8520351704711535,0.7798249283380363,0.7591197426128524,0.7235134484866657,0.8946409019511384,0.7947425894929743,0.7731547214580016,0.7763632716847635,0.8323423383793437,0.9330094067610525,0.8625807360414729,0.9354756910246838,1.0054055962782198,0.9218855510888985,1.0434988566510943,0.9973556138568996,1.0153259228418976,1.0876836000791472,0.997967903237405,1.0479052198640577,1.0650604731853075,1.0639353553450426,1.1735170115974642,1.1286903371679122,1.0637243066294857,1.092458066797899,1.0225261119415996,0.9515392275119823,0.8546882459090082,0.7343116398819061,0.7857280823363535,0.8354067315320152,0.701869588498847,0.7047307502502207,0.7765041709033359,0.8098579213407232,0.9951720944503296,1.1285956658653111,1.1093039094269899,1.1361731707624878,1.0803994072814553,0.9986765921900282,1.0699088885574624,0.9200053609799206,0.9315116539930469,0.9683850040135334,1.003743746989006,0.9997372265615289,1.0217205001589047,1.0185135108260237,0.9252995649362963,0.8431224139582606,0.8019681013793284,0.9602289636147685,1.06136459298172,0.8524781138696165,0.7989395709674322,0.8121229182603832,0.7947291485387387,0.8081643527420632,0.8970299387800611,0.9560711713793145,1.0592686624835557,1.1176354942763354,1.1344583737476381,1.1475876281261745,1.5435439750721793,1.3571362878004627,1.062680715222463,1.0186355730141734,1.0344987748885888,0.9666258560626635,0.9899216270142953,1.0340708168439956,0.8404652893588284,0.8459595026727732,0.8713972723623753,0.9899731348702738,0.929474260836711,0.9818306305497525,1.1690040132644217,1.1698634523335452,1.084451129974695,0.9746861036481868,0.896899034501109,0.9213697254580024,0.9309067935601093,0.9033180045253868,0.9280200938182017,0.9812675444469309,0.9942278205477709,0.9425656380414348,0.9344891245205247,1.0352248819871341,0.9943997700130267,1.1959322165648079,1.4391868799040985,2.2640040545496416,2.421942483829431,2.46111318405967,2.377685432324022,2.463164973372728,1.6602189652678265,1.5456430887424393,1.086748866203538,1.680289067069988,1.4738592806165531,1.2714181808297451,1.0332153478708528,0.9141892594652922,0.910965589719111,0.8894591152309831,0.9980908306763392,0.9688175626692899,1.0518964722985864,1.0547661794849894,0.993448029489981,1.0430514867956797,1.1238665546187898,1.0688316168977383,1.0724236762996184,1.1553931499408945,1.217017261025284,1.2377335540844627,1.2518060576622059,1.3258313878982342,1.355874637566046,1.3674505971360482,1.372062489129038,1.3456946560686065,1.1761139456276886,1.0914031678355134,1.1049300632994172,1.0777480332889484,1.52086721878171,1.269215685801297,1.0039677662741378,1.2815260668037378,1.0932663298286227,1.098153926965155,1.0506782083205772,1.0205430427465296,0.9944597931855725,0.9499502046615294,0.9938280524466101,0.999536332389364,0.9070906198191733,1.3382039114320725,1.1328968945895674,1.052110669610274,1.2766207268991787,0.902960025596731,1.0030264424882231,1.024053233710622,1.054754465098554,1.2390650143386317,1.2998043217831179,1.3918729383327524,1.211489728918829,1.1863342773852346,1.2596702007103233,1.2806206449467594,1.1365633978442053,1.2197150777143742,1.319551334440691,1.2183481385229242,1.2090947080445549,1.292088581706854,1.4017299251462476,1.2783666800586153,1.2482469833944072,1.1947511260659684,1.1151372201635694,1.0782177127531805,1.0443645548681257,1.0626730671908995,1.0712435369377766,0.9865774740722101,1.0128435376670621,1.0520667495182092,0.9601306476999045,0.9680677695751627,1.1047980769507901,1.0140271606681002,0.9187366844138113,0.9571739348965886,1.1349631332805832,1.0564528743521422,1.1232416809998518,1.473388872544401,1.6921491843339922,1.297017827267999,1.2257850060446431,1.190381055756561,1.2854973858670782,1.3332266786964335,1.1192363898625313,0.996231526165406,0.974181054942827,0.9342241767226862,0.93671809003939,0.9251740576129875,1.0082747404553285,1.0874193042860378,1.196114608919662,1.226440523097768,1.7494134119377436,1.309880916351046,1.197005842960537,1.3097782019895778,1.4978481327834534,1.121275872867416,1.1767116575396956,1.3522201840880348,2.152951546182392,2.718289454680961,3.9977137912708685],[0.6226024292942389,0.6800838612237146,0.8555529281338382,0.5968426576428114,0.6364821492548819,0.588976260166737,0.5081357277345028,0.5364209489705426,0.6342773336454298,0.634360669692647,0.6561480282903417,0.6628512461425031,0.6365672105098324,0.6725403401847795,0.7297863377944201,0.6497576297758989,0.682933071780119,0.6507154494248125,0.6809613207254683,0.6171421316049921,0.629107803817404,0.7570982829047993,0.8809289291446318,0.856507937922538,0.8331521957153323,0.6516302396667972,0.5486494486688945,0.5736603949572724,0.6001266667689105,0.5509134008163705,0.6634603678916577,0.5658319850974689,0.622605310730785,0.6436135744791929,0.5770777262076837,0.5938431116108828,0.545706657725595,0.532402039752845,0.5043151659158137,0.6036614383482908,0.7112730363996037,0.6082112509016033,0.7839099801376398,1.2174968262963015,1.7680013158048213,2.724462621035815,3.287211414907764,2.2124190668120223,2.9979776847601083,3.9017613051059192,2.423874651294226,2.1129023069828423,1.6023777021723398,1.092804587940578,1.2050551564115544,0.9101813049902369,0.8309483771455854,0.947158522282251,1.0470577044520784,1.051997824202498,0.7029778257845245,0.626632361047503,0.6340397277161006,0.7200187854374036,0.6357094732083061,0.6468219058011394,0.7836281579119402,0.6791616660057916,0.7882081260111196,0.9978238190377458,1.2547109448872515,1.461381881644186,1.1079962185487635,1.006609015452971,0.8330265211829052,0.9241666281032017,0.645236258484653,0.6126502043651679,0.5873017778638191,0.5865822102497618,0.5781996388741069,0.616779024302727,0.7863887771354623,0.8780483464118142,1.0048548689514156,0.5181220367466961,0.5241232442798162,0.6589720163581253,0.5629776939878199,0.6360033550275463,0.6882085301874614,0.884943738229039,0.7937703313045893,0.7044351505269492,0.6844116836492228,0.774957765844176,0.8591881997694145,0.6820445014144986,0.6380300225111231,0.6248946401495032,0.5782734233308333,0.5743979054517874,0.5617322208597876,0.5678876344335244,0.6830279505216911,0.6129119809532723,0.5921410680740352,0.5973371816144166,0.498788251282454,0.5857247830408693,0.46353033327708115,0.4517028965779828,0.4879903238804382,0.44500785777032875,0.6017914429356827,0.6216225114969276,0.6391454561215507,0.5870722578011222,0.6655683623900344,0.6568519366304362,0.742400033080954,0.7804610760817879,0.7833055187801585,0.6151715661846779,0.5738128250127481,0.5343323530237526,0.5944318542144824,0.5214663843104115,0.485841645308845,0.5406360680863875,0.525971659329261,0.551369456577861,0.6403047617179325,0.5752829513577323,0.6142646943467861,0.5420061532608451,0.751022605107494,0.5940569377894354,0.5307595791378313,0.4158178521074664,0.4360423709391042,0.5654106472676527,0.42958803526094114,0.41990374977643546,0.5711430434366626,0.47600323147874235,0.4909683855649074,0.5046126623879381,0.4713447455335082,0.5453991534244679,0.5368474821185766,0.5669478648304974,0.6142029590696386,0.9800979365403351,0.8860517926494714,0.5737515141492041,0.5623495439512828,0.5226509793125559,0.5078798794045711,0.5326165595906316,0.5273458887185816,0.4396141026773638,0.4135509571815999,0.4728302128895494,0.6212440769135013,0.6596261267034763,0.8120880840028806,1.1242847100055449,1.1435212342286603,1.019514687267096,0.7864165696625669,0.5705027292602857,0.5207622735618243,0.48134330378596013,0.4276880912168303,0.4602486245587086,0.544151578663581,0.5362068630320254,0.5027427455109911,0.4754922670050148,0.7055181481783732,0.5243105374550786,0.806544969643778,1.167155776929192,2.000569355776808,2.0710725214411028,2.14208359333171,2.0666494749044575,2.1558258140796185,1.374745564437233,1.333236332308366,1.0438914737606033,1.5281754881310752,1.2820611826582142,1.106735157885544,0.9603054497483591,0.6685796922263902,0.6280170023325906,0.6230551589981772,0.5796333532904291,0.557568486961902,0.49982115412334316,0.48217634711886315,0.5417537180612557,0.5270686862753664,0.5658519125482243,0.6596331897194082,0.6531825085988006,0.6102874067933894,0.7333264911414245,0.8133112216081845,0.7884310985221742,0.7906769975996235,0.9283884522485708,0.9755749529725714,1.0120268324983006,1.015909555432439,0.9116819145550542,0.7449037071002764,0.7440701270335883,0.7316440470061771,1.099208847520643,0.983739160429314,0.8530444354744277,0.927736947115605,0.7228875254375063,0.7265342420823492,0.782680725270383,0.7853219278981701,0.7370420899395639,0.6778215924475762,0.8144060061960979,0.8075312934684096,0.6890074515848327,1.1705917587270815,1.0411427026562246,0.9296473292857926,1.134558121952762,0.66512219652026,0.7157681775310144,0.6894275991748942,0.7003057933263345,0.811193516261044,0.8313892567120234,0.939394718610553,0.7426289644802054,0.7120012149852765,0.7395627258574397,0.6873331805182942,0.5361968629065714,0.5819706879895521,0.6625417014198081,0.5911401361973626,0.5922173212683601,0.6577376199030305,0.8440637008490771,0.7036722765327179,0.6698106529381754,0.6550669529414648,0.5681407391825165,0.5621905973901106,0.5705023114046159,0.5869982244977034,0.616627114987336,0.5584722821673918,0.6395416399493198,0.7023621339102308,0.6417645040502193,0.7430977790306952,0.9244519022164749,0.8164170632687562,0.7863797516163337,0.88174649384227,1.0303908813766518,0.9650787766705979,0.9875928211184145,1.512859064409192,1.6600888941306438,1.0859637485149596,1.0010635077192542,0.9044388371627321,0.9319037163451085,1.1620863336204017,0.9216168958247735,0.8556068248370331,0.9061486033929238,0.6745744846480086,0.5454188970815657,0.5011513777019523,0.44405597864702456,0.5437972585207482,0.5153270768596344,0.5179298860135212,0.9723946848380498,0.6359741168324706,0.6249198008906693,0.7072843081516031,0.9594050535597031,0.6719457784039741,0.9514687436989342,1.1030800260906324,2.381691033310168,3.006216680021909,4.273935625383629],[0.8584384336043862,0.937924553892957,1.1349863956627277,0.8989105512967991,1.002753229353817,0.8776254318470771,0.8262762874105484,0.7952553984710679,0.8969981789288424,0.9021987493738767,0.948894140896412,0.9216406911392752,0.9000051079982966,0.9640783728122426,1.0342080559148235,0.9363818162241764,0.9584070525694633,0.9672370378633758,1.075661764717556,0.8567424697033257,0.9033564961105006,1.0320319732034131,1.0461385325628842,1.0508462120582625,0.8874848887383082,0.8644991297731626,0.7156264893807461,0.7691936378147768,0.8067545770223525,0.7834156009488659,0.9699639292216788,0.7999101196276432,0.8779026381184786,0.9027106170533409,0.797425125547589,0.8251484249620014,0.701609839154725,0.6900725258812792,0.5939593439511296,0.661429467169177,0.7717590760131714,0.7835954931065806,1.0062468878097695,1.379951466460295,2.0083929624943453,2.820865311868516,3.597816344675561,2.4654305488049117,2.91051448968872,3.795327025995418,2.5751869343181237,2.1928332418634144,1.8246239118240768,1.137024001106697,1.326444265500382,1.0863074593243052,1.0054131882368686,1.0832629300530567,1.1013372985223882,1.274680509880763,0.9405580791468875,0.8834706881877444,0.8839165031759133,1.034537473867736,0.9803977990646121,0.897795339406363,1.0222128809775675,0.995843687082809,1.1572339438403811,1.3494400645626716,1.5001775014307204,1.712689855099673,1.384792673962667,1.3434642878174563,1.1122637466111225,1.3077364794543007,0.9616135894266065,0.9095074744996536,0.8261872892535538,0.7919502183388135,0.6824045196396834,0.6925458190286169,0.7725016331235197,0.9977715198128266,1.0725150960195435,0.5844328196173265,0.6418600786146162,0.7555569385396436,0.7833847845183642,0.8398348358089068,0.9527231626597238,1.1870665163613574,1.1224706882566413,1.0275551189336658,0.9975341203119409,1.099087629370955,1.158916746909287,0.9371810871038441,0.9072884421361195,0.8578941851039337,0.7697853999097216,0.742564607138944,0.715184006943416,0.730260519966143,0.8417427564143015,0.7874866680262346,0.7829731297882006,0.7796266306032679,0.7680235577151483,0.7828474963180074,0.7490128569887136,0.6923853019470638,0.7260496923872692,0.6796458860256112,0.8379432720397427,0.8433966519652611,0.8438583366761034,0.8586347368500379,1.0158930787530003,0.9773646622172192,1.1180994839222826,1.0971821016463137,1.049211044128224,0.8753572617142795,0.8369020052430968,0.8474470701426671,0.9025686399701637,0.7905987065511629,0.7719727133983662,0.7246549341668063,0.8269092288267842,0.8133673048268414,0.8213191664480961,0.742235153614569,0.7692289212753032,0.6888552894802384,0.9957402196897233,0.7476399664321385,0.7056562877681235,0.5479005479637645,0.44211982223922147,0.6802235127076174,0.626094171068066,0.5564689282100557,0.6094150222446327,0.6303130728152031,0.6451084901183908,0.6779174020493282,0.682004003333549,0.8013758413647223,0.7920604360172075,0.83675160729099,0.7753139313505797,1.1786151906672862,1.1297980608432419,0.8206529535219815,0.8171958508104913,0.7551583461122408,0.710414990705036,0.6880754619294982,0.672982668116604,0.5576587406914588,0.5162527933766631,0.5616762590469386,0.701527081407336,0.8377101414236403,0.9294014143252833,1.243240091631728,1.2477529612670752,1.056014010466981,0.9085851074093891,0.6942427854942282,0.6216027901426537,0.5962577752782988,0.5546478890354305,0.582099412279965,0.6548269621409477,0.6143636684154679,0.5957993120562647,0.5879323824880339,0.7985907159097112,0.6889551375050361,0.9541591318145087,1.3231134408724643,1.891593377170622,2.118754417890273,2.217728369909303,2.137193026271958,2.0809816340526464,1.505814189036734,1.479067288488925,1.1109523551354479,1.612553219949217,1.310092929311883,1.2387849263617456,1.3222199846710456,1.0429407860372877,1.0334999258262318,1.0565843494428435,0.9346508165143694,0.9714853217126515,0.8763912954918877,0.8623400368149127,1.0064800537828305,0.9766572908867425,0.9696181978942943,1.125828603885052,1.1183789257775443,1.0250883183542459,1.1274344834867307,1.2474839440048173,1.2176843253658403,1.1621542075683975,1.3236437550335605,1.4056055367012135,1.453165866848628,1.4146378629375627,1.4213365918700105,1.2389269234032905,1.2297028052749381,1.2346250724928511,1.4915443163825541,1.4395056409823266,1.2728301886835858,1.3812929297099115,1.1357882747392958,1.0798638608253994,1.1618732587781204,1.1600487262895784,1.1447476141017787,1.1170487929688262,1.2923127877896634,1.2812596466026926,1.1527064739984285,1.3918599984044386,1.4316471286623749,1.387946458782268,1.384574377067136,1.1311851645318223,1.0802212754663774,1.0646456535990696,1.0658980951672181,1.0800872149088636,1.1004879532826566,1.1539007453175445,1.0360177334001854,1.0228361992660464,0.9599779144529361,0.9215123755498449,0.89348056706875,0.9020728655351609,0.9356984912288585,0.942623938002794,0.9662306830430922,0.9922000224537317,1.1305726073485314,1.0929819553710178,1.0723103232612712,1.0883302630223248,0.9794121105396941,0.9478537731768992,1.0277181071891708,1.0497927991675946,1.0726193596108078,1.0204086158223353,1.1340061820232297,1.1809268516575513,1.1336376010782205,1.2089829197980502,1.4228445504315324,1.3406592313982189,1.2708021260264168,1.400930863978449,1.4947094647874637,1.4477656993653982,1.441436918794364,1.939370218847252,1.9711538624968512,1.5603150125637952,1.5095782409267942,1.3958068444909835,1.390749272975948,1.636184057604621,1.4441634215176524,1.3892850418566693,1.4168818909721037,1.169577217796356,1.0130329767356858,0.9324824528833864,0.8616379084366735,0.944219909246176,0.8429072679310488,0.8532094581273062,1.1633420557161114,0.9123366658303265,0.9915188083745675,0.9750943915934304,1.1258111918413927,0.9093766793681207,1.1322220014133533,1.0824834282083224,2.1483046856751575,2.787133084540913,4.080772766005451],[0.915922100390846,0.9176672323449904,0.918003577577493,0.8880201251347747,0.9954941440360219,1.2836071523036685,1.4805571746103208,1.571792379990615,1.7095990414038948,1.8013615024838407,1.8762420800761896,1.870004141982314,1.862452864514791,1.8971496624419801,1.9299335389242076,1.862520492239538,1.8481359450600312,1.745958284814886,1.5938912075210478,1.4028864255917133,1.2430377419263563,1.3162238607024181,1.1139531423962925,1.0631092268468079,0.9762692079886489,1.105526377974766,1.1658189197304696,1.459827370302761,1.6100872257079326,1.7009886962091572,1.8029877470084459,1.7502416342675007,1.8000633486021844,1.743490993637386,1.6621899705032193,1.6253274372077808,1.5542312835162013,1.3785600848857695,1.18831390580932,1.0721373338054045,1.0903944524479854,1.1449720938894814,1.2325836485660082,1.4581092390703598,1.9101508601470638,2.830853116938303,3.5067002624514725,2.3462447021496375,2.9843661488272577,3.608754927475624,2.5176928497660174,2.1927827095269476,1.927806019685104,1.4030686385789706,1.5185028980305149,1.2116177257897958,1.15962618942727,1.3057330447500806,1.2857701521420528,1.452125103463774,1.2180801979577975,1.2340771681992957,1.3585718198148324,1.3525033883711517,1.2694495296233352,1.3076457804506627,1.3847355410100683,1.5839506387366251,1.6439950042185216,1.9536777089312882,1.9514078189542272,2.0323203353599797,1.8815961906387308,1.7215338275106473,1.6900297992471376,1.8287155291133874,1.537544480147513,1.5604058253951238,1.4848468104972234,1.355648066030272,1.3485958923736725,1.2572753816200053,1.3729041613092532,1.4072860985216187,1.4972732374079607,1.281992013130667,1.2775202540884663,1.478935858221215,1.486280445314973,1.6030691857733255,1.6679144036498896,1.8211871092997054,1.8454346937099468,1.8619845352853956,1.8732841443353996,1.9574053345013305,2.0002869073558722,1.8894762486310923,1.9018544863622773,1.8543922901192058,1.7490595855733904,1.6651193282143875,1.6073446941831815,1.5220557163467194,1.3825890458842611,1.326975621686956,1.276587870385898,1.0798029051375615,1.0447256697394325,1.290748842130826,1.2591318325660452,1.3283877591699098,1.4759733006792215,1.4531600789409986,1.7402699329069795,1.6903103941808069,1.7107059719706699,1.5260921560519356,1.4440713014233257,1.7389606931394674,1.9059345400092822,1.9886753178005179,1.9092744015157777,1.7169073207086607,1.5596859519359025,1.3196035443528842,1.2672572971758294,1.1597622346510157,1.0247844470520107,1.0983279884354924,0.8138264108229708,0.8535481397266588,0.8835345904997445,1.0161348060708295,0.9215071428040994,0.9928828069739167,0.9149455353082708,0.8684683735448389,0.9132546698972588,0.9768669139485195,0.6601633170136211,0.8560968387804582,0.9551513985930614,1.1282361222295665,1.0631202034423068,1.4143786015111368,1.4658344627751083,1.5923124103931066,1.522068507144764,1.6615264427517973,1.5825934554316177,1.692862230985157,1.6858599953978242,1.9370911090198837,2.003766503690513,1.7690289856151156,1.768589498289103,1.6521527588124745,1.6499971517173133,1.4476509574815615,1.3439950383014179,1.3425008599030148,1.1198382910043727,1.1216366860283031,1.0005587901941273,0.9269190565863629,0.9832039433730689,1.2960034078593592,1.1989170533499258,1.0325479101337027,0.8911821709490972,0.858183296131457,0.9612778030416047,1.1045533185335747,1.2202909330019618,1.307069225925255,1.47509148193696,1.3998545114328698,1.2668537166591822,1.2005812444172284,1.189957581121225,1.1926460362016074,1.2898585432086602,1.55305226404157,2.0591158588492617,2.4818802098686206,2.580867796469503,2.456275692922888,2.256780835505118,1.6597715407871019,1.5449537021272122,1.236546748759294,1.655697679609015,1.362561543513677,1.1871126462651458,1.110841172894876,0.8134243798995042,0.7887859718108382,0.7686510912821295,0.9046506090689643,0.8205244024634692,0.9492869929090566,0.9479679882187009,0.783972509275896,0.8470400641850986,0.9564712118501595,0.8589900730739152,0.8574152049183708,0.9603167339769632,1.0203786127884407,1.0075972656009313,1.0182991103714698,1.1385155563339706,1.1395228518122105,1.1414153892295038,1.1370131480311498,1.1057801879276692,1.0002794458794737,0.8633544667371633,0.8801541236292025,0.8568483766569214,1.2481303010417992,1.0672252968438407,0.9232006961474031,1.1016303936880847,0.9535261209487795,0.9411557074539353,0.901980317113997,0.9304088595667751,0.9205607022782444,0.7902507661173868,0.9129440262714225,0.9496031553874936,0.8397284443379442,1.3309184320980672,1.1716276745083392,1.0541782141192446,1.2427526960943291,0.7904896827893001,0.9085972240161677,0.9045786323988207,0.8767671330889306,1.1222966821232303,1.2273444870385095,1.3919629291738747,1.1139995261149278,1.098562550097758,1.2641335928957236,1.2497164311452547,1.0316536903250277,1.1704160977595124,1.305621696481935,1.120838341020507,1.070921290463601,1.2073755606609267,1.3293989150584333,1.0765547281060925,1.0348651474550923,0.9688150604798234,0.9209477276179688,0.9292703513290342,0.8759696928476903,0.8365592208270982,0.8575582439573207,0.8047919272289081,0.8019536474287547,0.8265581616180621,0.7720896812378021,0.8514611070669584,0.9946824374413546,0.9093533094201032,0.8773087939712064,1.0087914053823972,1.1491669588881037,1.0782437195273251,1.0741421176260775,1.6610573118305945,1.7421024033868444,1.1909092231146532,1.1045762045628036,0.9969304796220944,1.0682433165359497,1.2409809366471227,1.0140424158491967,0.9679549448365641,0.9886108353015325,0.7720321114383044,0.7531872900615368,0.7672590699358149,0.9097008726786666,0.9949573403709228,1.2091010448790647,1.202390299884815,1.8205770945986228,1.3201409774688906,1.1341794961440823,1.3194944728558373,1.5605381331801143,1.0795789077442262,1.0872139606938276,1.456190763098918,2.4096401543646246,3.0616992685541216,4.559659615078571],[1.6998943645953823,1.6465050710161317,1.7864300795546235,1.6466191838210837,1.6185687603317005,1.8015703744120886,1.907416299824754,1.9799754550027941,2.0488632387702954,2.0852375549505293,2.078430237566887,2.1056096704046614,2.1707945474925077,2.0751832970335027,2.08801563701176,2.1118822194055187,2.1617653014479714,2.0461415192005807,1.9205101932870783,1.9353469288756118,1.81715781334684,1.9795168984762868,1.677491826396412,1.751796693061231,1.7022740828500127,1.7774870609004203,1.8861855712959317,2.0316387305660544,2.076248983586963,2.1151577184876866,2.0445534482615773,2.099201488824508,2.0875077079450284,2.0779369977897337,2.074371390832756,2.0729736555263525,2.0587580020773886,2.0017317857066605,1.9282685600252656,1.892635946218084,1.9464840904192287,1.9434102482021758,2.043881735600367,2.2061794766392593,2.615820875116516,3.348158143649471,3.8249611086767143,2.7513459509748377,3.314501273713105,3.8011097403600713,2.894593400747215,2.706988262044962,2.4624281228602225,2.081407645428784,2.1964552124273546,1.9649659318990491,1.9437166619499193,1.957800976647144,1.9398845655168608,2.138231491392907,1.9685536480703762,1.8745825347557838,1.900853200298007,1.8541815763928002,1.9101785964270732,1.9023851836489232,1.8075874391753377,1.9314308927061503,1.825093909319281,2.0354279553897885,1.9285419373709847,1.973207281932153,1.9127900803895361,1.8030463469685942,1.9200480972345872,2.0180665483656943,1.9655520567049236,1.9760531679254836,2.0139700167948744,2.0161708372367717,2.0021785544029194,2.01359349284544,1.9637695053888977,2.0949423354969534,2.227971997824049,1.9886907313651674,1.9608963636081864,2.0607164194313032,2.0115953906251423,2.0343072086524048,2.0080444858613826,2.046957043245763,2.023006045175883,2.05335783557155,2.057549233188634,2.0379367344794077,2.08315576687011,2.1022278549357982,2.1164730919422667,2.1183659055291924,2.104243236078733,2.06762083604337,2.043483982370348,2.037238274527019,1.8727321056132868,1.9494338661655193,1.870900626670882,1.6318151958448774,1.5855031701145306,1.769015508872319,1.7591754848310326,1.8130788568240797,1.9175527404431123,1.894754344272924,2.1260494879506937,2.094229276669051,2.120492981307807,2.0651977846864877,1.8303480754937405,2.0189537679436773,2.02228655278043,2.128072508679597,2.1235007393752023,2.040275086035147,1.9544183420679122,1.7649810724731179,1.7192443468744567,1.6182907078267612,1.5595135150438744,1.6063519297847018,1.3711505211824864,1.389446163663417,1.3929783020030428,1.572379929285213,1.430188773774056,1.495912582256657,1.3227125090305294,1.3271901611066697,1.341681049744001,1.5311118699461477,1.1833444792892653,1.5280591892701723,1.8088132637617769,1.835855585886981,1.826883321070356,2.0239618852494643,2.0070509414398123,2.052411310183802,1.997714596740762,2.0794349315104883,2.0060528774070794,2.0721026353794154,2.069257632542433,2.2629671455884255,2.2217008436397294,2.118809096330977,2.113023677905786,2.070681736250267,2.0680730267043894,2.000432996841686,1.8699799615297787,1.951034034165013,1.7773905959194942,1.8662718680181547,1.711715099692326,1.4562301226253638,1.3635311727678094,1.3794857224001504,1.1971684902988915,1.175028054040654,1.2297252380694879,1.3759551797336493,1.5907467019436987,1.7531290807563829,1.8715675271824948,1.9173761461336378,1.9950333206929267,2.0246615580225487,1.9027288706512528,1.860449153994335,1.8233027705349862,1.7953031801728636,1.788473776869387,1.8696321730994128,2.3061885010373433,2.9522191893136243,3.1773098885036712,3.137833068877493,3.0155093725754374,2.2318974781270566,1.902630425799273,1.7482304264711037,1.9991202292403403,1.6836242011776381,1.467699217126508,1.3607557690813592,1.2886384671580977,1.3073820313590154,1.3100886151666868,1.4929016713076095,1.4094099866909637,1.5477383206505217,1.5431495727658073,1.4129858899278196,1.4803926009236255,1.6009339198153298,1.5681950682420969,1.5230283635104724,1.6327045629539447,1.7143735045917492,1.7112325384773184,1.719010376630747,1.8115545886924527,1.891544477953531,1.8565942919529117,1.8065116665202723,1.8116127901726609,1.6121533687551852,1.5168334881510255,1.5695199649006402,1.467639969455112,1.7628495992280586,1.637943195080009,1.5531018504942646,1.7401138626377661,1.5048679857253355,1.4758317733150899,1.404111414112776,1.2931677929424026,1.3156261476152924,1.4188251211685055,1.4242127558712343,1.323295506281723,1.292674347716489,1.5164820975506406,1.3486216370025013,1.3625706758240208,1.4111125973079153,1.2882302745032186,1.559056713302717,1.5259925150606803,1.5242518503768037,1.7530866188121677,1.8579061740245897,1.9772345438011574,1.7585921100591995,1.7221280153851564,1.8230251490262255,1.8085185828790105,1.6462115491158107,1.751208455845322,1.8405488460751074,1.7484935681436742,1.7100685043031525,1.800368283570656,1.84777240693855,1.7452807145803646,1.7141256392450532,1.6509869502118006,1.5662718654262757,1.5580913425358243,1.5679494904486144,1.4841479710627306,1.5123632660209896,1.4032325590181325,1.3749949908487957,1.4418502057779987,1.3591799213540006,1.2791430679636546,1.4487197450232354,1.4332983101680024,1.2771165932912012,1.3434936199506906,1.424897184981849,1.417272685683185,1.4918860604894228,1.8239865176659114,1.97535604089803,1.6467123181496335,1.7233336482974244,1.658127487016817,1.7768516295895034,1.8859430880533694,1.6308883770521343,1.4739746362422033,1.4629084005207773,1.3523083834034326,1.4205038663301581,1.385878851002519,1.5272088325201134,1.626779842429644,1.7113720233255771,1.7166578418340994,2.1357588083447863,1.7943771646791824,1.7386509039300835,1.860961188033138,1.9645166341636437,1.738606794978001,1.7537787659284043,2.0187710712839535,3.226807944459343,4.0434639389965605,5.463287361511968],[2.3960999511383143,2.2888537827163336,2.2151344493994323,2.211169424603805,1.8423241558054315,2.1633734005925493,2.181554102685417,2.2346395585562493,2.500661999563603,2.561435368333851,2.6490717424002415,2.597123066914659,2.583548886792961,2.676837384922011,2.6948664468547343,2.6650731646616266,2.708704270234907,2.8307846957656175,2.9484776317732844,3.0146935442778826,3.0651736261326294,3.204219519297534,3.1032779349957447,3.0498372416703767,3.1265575641141474,3.13236353843895,3.0214035817832396,2.798354116150243,2.773727225483165,2.6685918867210883,2.774927597628974,2.6780515619712317,2.74653362222202,2.8524658264654477,2.8294071518375823,2.9008206808500776,2.7061920395319254,2.860428389334506,2.8253342763092575,2.9302876325739606,2.9905457124763855,3.1297653486722457,3.206644535304721,3.299151323661708,3.5852740059982526,4.180186964555912,4.562002729081139,3.761970072066918,4.231965022885022,4.607792941412864,3.888258848173337,3.6062973685029203,3.403893576576186,3.231915096582503,3.2234340141728586,3.1066142413936757,3.149634717744039,3.0719812578977383,3.0705439906095373,3.289104898105304,3.205442846695676,3.0942801874436094,3.0261503981251985,2.969861278771682,3.156775340097371,3.098901474122196,2.949133782960628,2.931348880042237,2.8155831084850527,2.762306936832475,2.677060778488133,2.688563896678802,2.702599874335443,2.7242311122330714,2.8334656422901543,2.970912635349191,3.0098367250636344,2.971995885842347,3.030154080110676,3.1080718320350798,2.948524742818767,2.9957011811108085,2.7089397569365077,2.8320146217058,2.975969357654581,2.764284464763663,2.9021876076196693,2.8536666604228738,2.9821655346064238,2.933143428032316,2.9158228204506336,2.870387836805483,2.8157183890516997,2.786596191355882,2.72970244015832,2.729076410564724,2.7439282513058796,2.676164812391402,2.587140112591684,2.5226885916638646,2.5313952766748957,2.40351274806566,2.44606524564789,2.227613018130908,2.1250674344820135,1.9681170134948867,1.8806042754507752,1.6824751996456955,1.6115183066962058,1.7619443223109668,1.7621630841364762,1.8558281165911177,2.028119362327356,1.954106938603541,2.3545528935317432,2.237540535805864,2.4850392527409775,2.4012979489288515,2.8703198161225596,2.8003318825213985,2.7926393424553724,2.724994059807868,2.5959638980427377,2.3716698635515674,2.2764292893222913,1.8177010498189656,1.8192311057787927,1.6164474675482334,1.5620901424584988,1.6953262853054458,1.474069617745547,1.562421326665026,1.678086415852163,1.8509170376694322,1.6785686957079882,1.6441048161629894,1.4089671740998753,1.4325797908382867,1.432951872357251,1.668968196310955,1.6765289153179959,2.4984714991531276,2.7426456421364276,2.3482359991066306,2.5982539701039076,2.557287872892767,2.3038311824112534,2.3024426196222327,2.151153505287044,2.252119720524134,2.137095633285299,2.320523915967976,2.2821938974547646,2.510211177425414,2.5625840781724816,2.4058736188544816,2.4126332879254067,2.277581775237097,2.3725820053244284,2.162701626774001,2.0116820256035677,2.4227562785890036,2.202458185682979,2.5358500933233805,2.365754958495835,2.092139381280077,2.004761934633509,2.1333651513926117,1.8332166718339586,1.6925483151726028,1.61850535584229,1.7134564364019382,2.0718889487969876,2.2122388890069464,2.370003872995299,2.3539868501392878,2.444719450851885,2.5535585994751053,2.5587457235398183,2.4334437756080614,2.445477039034761,2.096455390534636,2.2717541252192985,2.3724226056662427,2.7293326921491943,3.5080601726507727,3.796776441981461,3.9485908300596515,3.8331284640192633,3.1361778033766403,2.7047490157885754,2.4794314221474103,2.6333147639232903,2.239039583340719,1.9189715567634373,1.6832864208193745,1.478873860841873,1.5090382379778122,1.433820414121037,1.5456877255727592,1.4477848689341126,1.5426268761683766,1.5245168198435999,1.4539310990470788,1.4909240428637753,1.6269864511098464,1.6756304432539935,1.628007588135082,1.6880189532162502,1.8867001570786432,1.9100034570245,1.9066229055462105,2.042166720574119,2.209527890162945,2.1810995191208544,2.1051246466382643,2.049729628685616,1.8878993731969849,1.6889025339266972,1.732425383458102,1.570634696385466,1.8066659204187479,1.6463278863538722,1.6182802472052567,1.623260811505232,1.4564898554747336,1.4842889728247552,1.4729341959930975,1.43609199944788,1.425698636451877,1.4765364915286558,1.5760954640738767,1.4827662188269333,1.4641163578187542,1.8092414528272873,1.67063271899593,1.5408727748185942,1.7184483170803388,1.4237689274385295,1.6395475795099836,1.6103886561443603,1.5683981079801088,1.7319621556429818,1.7559958379049398,1.909610468676968,1.7017249678825477,1.6704697458249933,1.7739085761650868,1.7686279187093108,1.631756532297442,1.7287185894990211,1.8369605800309527,1.7721986684307787,1.70934907937204,1.8437930271532843,2.006089938037997,1.8623239117558181,1.7897680302951449,1.6888275250505305,1.580365126118715,1.5399260830913477,1.5261155362647212,1.530930998377317,1.5627309965763403,1.4485839017054434,1.4715115970845134,1.5364815911405179,1.455001194262873,1.4410477329674758,1.6245789646330706,1.6244807548826588,1.5008476345403763,1.584202833872776,1.7160166635485572,1.6983636235417587,1.73618290046078,2.0541645536944038,2.263989495021751,1.995121958521607,2.078817653542005,1.8929075969062428,2.0357282105180383,2.2762780692204267,1.942010822136393,1.837459798815181,1.7712390682612968,1.5407902304974863,1.5364682536477858,1.4395179463220584,1.5552213747368966,1.7171052645138283,1.7133660339471253,1.724638834875483,2.120571703297067,1.899414944606468,1.9255576582139176,2.1175821498782708,2.3071263768298462,2.1215637425724743,2.164841223346462,2.527284403184646,3.720807802728305,4.554932196132535,5.782077759386973],[3.5792740940305863,3.320782374838178,3.1109312652413137,3.1562427770229533,2.634052776947813,3.369294969576167,3.376555435325772,3.458763609404878,3.897888788490585,3.9045542398718247,4.042921384245625,3.905525518511057,3.6235442744604645,3.990951533091559,3.77965370611379,3.50385415738257,3.3778935405087065,3.231689249384606,3.101453177117049,3.0634951420657686,3.179667458103566,3.286321860999138,3.4252472468253607,3.5331462193990046,3.4268018224146033,3.2614193562996414,2.9769168708157467,2.822641720877333,2.9962959277662975,3.084378883705665,3.344234394058565,3.2581433038032905,3.35576174033518,3.242967745087468,3.1196555055898973,3.0920208423953515,2.9232103240605487,2.8365529147200963,2.758142765815064,2.909405842395231,3.0944059502882793,3.1330114287484663,3.3312566871984686,3.6478629263057276,4.074606587066991,4.875912027533366,5.3356585812760775,4.365240677933201,4.744671095601908,5.086137595822267,4.410217296805907,4.029002753017003,3.7762608042910957,3.4680173346820746,3.400496616259688,3.409381755633492,3.433191769058739,3.1604297293232793,3.187107476148262,3.5864299045366206,3.3636270080381396,3.2134541401527543,3.143376811610197,3.1845221430935147,3.3061078127963746,3.176885081178788,3.2002312985956314,3.161171472982644,3.1906921739352545,3.481785352226783,3.464862087724456,3.516894181488546,3.3911907164385564,3.1326772135897496,3.2573798596856345,3.199884033206652,3.169321807643027,3.1412246431649598,3.122569422575239,3.137590777102752,2.9498965447039542,2.9589637007796536,2.697914413670399,2.7451460576941136,2.839391897846114,2.74271757477049,2.873188346666401,2.9151770483002566,3.052898388362436,3.1228784093679964,3.191870191779162,3.2152888385607232,3.3043784823233144,3.4242650167122117,3.5293268452688245,3.7022229598745797,3.851390408905296,3.5986979905685947,3.6139404112976985,3.594530013299442,3.2801735763341724,3.1385126248114807,2.9094651354001,2.7420424483361696,2.4042469287643127,2.372069970069036,2.2314050608577607,1.984931022854683,2.0842184341418197,2.318989273233372,2.5055640493524587,2.4628799940957635,2.9511840164043672,2.632994393576669,3.2072303123619963,2.85410358950415,2.8841663807390803,2.440932915618526,2.9698292943621265,3.2368556999536082,3.5638378928939525,3.813317660759592,3.532785354880579,3.3585665033587246,3.3682614372419315,2.498188013512899,2.697860122803318,2.186796816792723,2.0253990786175553,1.9903801835556478,1.6926216731984232,1.7443279672278114,1.7867379669295986,1.9435218004792456,1.7717564616997228,1.7949261989943341,1.5576142447905574,1.5676107743193117,1.5399063783586993,1.7260122365619912,1.8620158496536592,2.932936512475765,2.7270491013279874,2.3178339401550394,2.5572669001337807,2.5992115433117187,2.500543289002053,2.7939336029896755,2.729669205795624,3.1844374281272967,3.0574295061515073,3.4799223587876162,3.340421885322773,3.7813344972942073,3.718946747888694,3.4572544620938768,3.3916418455180612,3.0991040237245246,3.048514579675926,2.6688929441940075,2.2807071849192484,2.5127823348918983,2.22720244679658,2.496308714973292,2.4514608297698723,2.3381764809004695,2.268102621741344,2.5985607406481295,2.097055809564166,1.854156008368658,1.7443162088445026,1.7819366498009674,2.1161032778134854,2.2492440730553755,2.4119218207652717,2.502181286628816,2.7103859917333226,2.700565385697446,2.584146391243746,2.475356398089213,2.5390186443019798,2.214371791344809,2.3626952390995624,2.5721963726870576,2.9179268178345112,3.704623066850723,3.9107826362964935,4.133992517726817,4.028562153928326,3.414621979579581,3.0041666158479465,2.6977630046546994,2.851981215934297,2.331908934626813,2.035261557133921,1.839853030582923,1.6380924909872465,1.6522621589230184,1.6869830005191433,1.9248512214089366,1.9110244682895774,2.183928068492995,2.187746128762544,2.0337104127688717,2.1883367437515893,2.4871259163159034,2.3629885463046105,2.3374043505480566,2.6083711314647418,2.811564535003491,2.723556644969416,2.807995382879591,3.0926785269729824,3.1220645527602797,3.002443441132732,2.7918375026335305,2.8392848439445486,2.37789586085658,2.2855818847356653,2.405753081382129,2.120752758929548,2.348504072514523,2.155945759227187,2.1857484661699154,1.9929935819027258,1.9516827282685982,2.013066275535821,1.8792518338604143,1.8508004878358282,1.8416287999975471,1.832709187589502,1.7945775153284669,1.7144000210704295,1.7176872673139667,2.061284145652132,1.8317446188552955,1.6909638422510427,1.8768707532453714,1.698259513960042,1.9304787580368796,1.9422289228749927,2.086312236553845,2.275213748059744,2.4242712491826035,2.5722403392674216,2.3527792108734236,2.4596188344305014,2.6621610878988036,2.667356974067937,2.5379398957332495,2.758837283562732,2.951327359782735,2.831367275598314,2.747502100785987,2.9530045840160684,3.120918069974956,2.8943882137361214,2.818312158907448,2.6217222378418454,2.4687477186101283,2.366444551852913,2.2225097058662184,2.2893235066838,2.2991101955797015,2.0558185401903706,1.9884202737720738,2.0874917326753475,1.9119251210079264,1.8247337980586475,1.9650434916362598,1.9519881487047224,1.7535218270938349,1.7711892547532446,1.8783531295128897,1.8557973214676398,1.9696512312014647,2.153063614077571,2.354997018256387,2.2982970431372824,2.4523491199048153,2.414821906930506,2.7129840948313753,2.711173360095383,2.2958332731781996,2.0343681216931304,1.9345761170276103,1.917262456760299,2.0314783722508167,1.8768353942975224,2.1557581173172755,2.52401783095343,2.580922389815748,2.679930947957036,3.166491982637031,2.937566272993817,2.944224948471204,3.295364250910292,3.5164806569582145,3.270031111566383,3.2843620890081286,3.813111969886713,5.015889005529088,5.879224909388672,7.067257858241865]]},{"name":"Protease-ligand interaction","means":[[10.515801788483369,13.690569404538062,18.101061840036483,18.188859463953545,23.294721624135132,18.736248649492143,21.95507667753182,23.127831652816635,22.07156640135222,25.93680690004457,26.975392902770995,27.543988645203967,30.769034645666203,29.641541093137416,33.24860215189233,35.0231777960055,35.71087285094264,39.93280582607605,43.342339455078225,45.660263667100125,49.345686757588,53.27131452744041,54.18927284874763,54.23602188019728,51.31346127908903,47.16242320407065,44.744204054061484,40.662127292576805,40.17361038781694,38.38396484756163,40.368231198692854,38.840976380308945,41.05663935623383,45.599794496072334,44.360766918736964,44.05618279886254,42.582937838830205,45.13242773522944,45.51180205576103,50.79624594023258,49.16798683332042,49.695978802520564,53.834003238481145,54.23028415269064,56.09831532722239,55.13751532638305,58.830619885483976,58.0581926487929,54.117332242784684,57.59682874911485,59.500509897876405,59.549967708247564,60.172475217469895,55.288451238097,58.47782709143019,62.26438167716884,59.12796760841916,56.69378510940166,61.30363323684394,63.10641041288611,58.499053932877146,58.97191053941355,56.118702817573975,58.486509495528225,57.02250395641702,52.90091723978313,49.91213092754854,46.099706508862475,44.19402507716012,40.71575868005734,40.72499733430857,42.5039668812116,43.60897194060728,47.759365449719574,46.49140359265283,52.44436018892728,51.66073333713313,53.36063966121133,52.89133187394809,54.712454901636065,52.06058573201457,52.377044853763266,49.21822539671544,50.39974332523895,48.3847956268908,46.52350904486171,48.73617980676461,47.911049064469346,48.40855802644742,49.60881785811902,47.528570074457804,49.78364843607478,45.7394153331438,42.817979901599415,38.47939390940651,37.65332988091368,33.88521423218285,35.68012751551332,32.627072224842564,31.593876631357375,36.21302081181627,34.53106643343281,38.62612404465835,36.31388753911964,40.8127372481616,36.16590902434836,37.88552789100938,37.886418622169465,33.58031543840566,32.625961578143695,28.75107943418929,30.98519279250844,27.573575561033298,30.442901502601984,30.911301379484748,32.720537114224605,35.876651782586485,37.85315156288121,41.504435495496544,38.369753929896376,35.91900414077044,32.52947211195688,31.823668029215984,29.255874099322078,26.118577704675854,29.07066013928443,25.686644457057508,30.172734282651255,31.909994457313644,36.25576088566929,36.482859579795544,39.864429001059534,42.202982437424325,41.9123726327109,39.87604819577415,36.316926279873826,34.888547132970395,34.85994894343414,34.51283221268124,37.05239778962829,39.91484242401856,44.29070226259493,42.5468150314629,39.929166265153754,42.51911034442918,39.6803390286799,36.865280114864184,34.472459198412146,33.0041328282218,28.893063120384806,28.273344252099168,25.554354221325298,27.857771659162783,24.024629685178574,27.049609298441254,29.986656024462594,30.39616352771552,31.485318792022152,34.11328244656447,34.52229391635251,36.90405698063013,39.92798825748814,39.81798695684692,43.721267858247074,45.16217129577568,43.78565398933554,45.04536109545469,47.46121696695515,44.25931659873392,41.33028980049648,40.702400712354745,39.27287881746161,41.88965461303422,42.054002337944844,42.27071578991573,41.74633430656481,40.25361176183463,44.704140357841034,45.783658911997335,46.06968195694681,45.968625264584674,41.110712270989936,45.82187781415814,48.74525645835126,48.96477611307948,52.9867522981503,53.073889558395585,56.39713961285806,53.76091452436068,53.1880540657917,50.9701423429741,48.86225348464254,49.61080270403861,46.873403331247886,46.065116997413725,45.25178381594601,40.42368475805759,40.1255968118883,36.534685405945865,34.207699835389434,34.80057122193389,32.06185087274376,29.788434633065012,30.323063427825545,30.384012492535657,26.044190711663745,25.349556192188615,27.061327601184107,25.720709235470935,20.99546852405551,22.005575719044813,22.47045860839218,18.46986896537166,17.40068964518799,20.396568650922177,22.76992127155909,24.882539297389087,29.348254952762076,29.190613616343317,30.214598531944745,35.65291005121093,37.863359015388205,40.038489968216965,39.67899314728541,40.51089786480049,43.017503236834386,41.28677709390121,45.98732135194624,44.869333215217786,39.993356041364954,43.26862534139408,47.03416577941186,43.458576392841614,42.07089588272361,46.031741384783125,46.385927879936325,42.15589646957798,42.554479796368575,37.966650103470535,39.69391146989097,41.456049204745874,38.569146532093555,39.83655079246183,40.12487341034656,38.27689852609631,35.903833404140975,34.97920423945413,34.34973465806154,31.133721066709242,29.70718212870516,28.942162006518164,26.21662910608638,24.416765289065854,27.686511491396836,25.84111379912242,21.226504279023544,23.913434817727367,27.3284267689344,28.389502499557786,31.971355861272485,32.782914527785735,36.778497779976476,34.29506504332879,30.61918474706483,35.39327084622314,36.54225702612997,33.52329086786265,34.42050081377353,39.7800705328726,38.227601807081136,34.539268927750086,38.181678952565186,41.925961456590144,39.78772107265057,36.92935916718851,32.6667513456633,36.44624804081073,32.864419587192096,30.825981687741326,26.875848160374204,26.059209642882056,21.658968007991508,23.613386351017386,26.562411841133954,30.272516315609383,31.372100911537725,31.00524692713961,28.435712499177832,31.39504556052936,28.30405297920361,24.370581302391013,26.68631893771643,26.18260677176222,24.938287833377515,23.000306381964037,20.91202215957337,19.97764603952095,19.282092739209975,16.277476898201133,16.04920001729945,15.273272190505265,15.047407076090245,15.658329745156207,18.21983104167158,40.04970973571975,36.89301604793146,33.46277216700139,30.039591815846865,25.457352349981058,27.927463620940724,24.377760247444385,25.50590062578695,26.33059305131209,22.75986881977755,24.815887843086283,26.640565885062934,20.871075046393855,21.829078473204973,23.11699485566938,21.33816134230892,17.090683119035624,17.35497371787323,15.837008084494506,14.46337600225032,15.883921642920187,15.974433644805542,17.24445557932507,15.500597299219475,12.123008565198429,11.707478911726293,9.387339478454003,10.922853248423381,14.455781279081691,17.512372481931905,22.64553357092387,22.82969751566335,26.958384586296845,26.915274164935582,22.783899854664636,18.99518957330458,18.44205235211597,13.150798977373306,9.89868731383717,12.000428904173106,7.3334007634311345,11.480905632197478,14.184057191914958,11.908290379869772,13.73087180851343,13.40050709325045,17.087129769622052,15.57409897040366,11.895593677153027,15.846547369305908,17.781524924906538,17.980301487514467,19.957083990291952,15.502389593267809,20.99558635997321,22.40306888973453,18.532961153815087,20.244726794503237,24.471900239836703,22.601281072304076,20.447491159018767,24.176848763957814,24.62343119251572,25.57767110950634,21.497297526833684,19.230009143161205,20.018971776350455,20.00410633329027,20.188238576264062,22.395035162172462,22.40687167666433,26.001112766829618,25.784201615744212,24.727391044223737,24.202732129022007,28.236096966678456,23.849305321459294,27.60171386659434,24.31048153012474,22.44826967419039,21.58138227421664,18.408735226463005,19.628585803402725,17.78612113980785,13.4535362724177,14.81798628566869,15.789002857853195,20.322095914109614,19.666347163133317,25.755716950253966,25.089767378087423,29.321626537979625,28.611096870799116,28.827666407549067,26.27461525868244,29.640540517060312,27.505300791502766,27.423800871718438,27.128882472384344,30.936801489300514,26.003896702674663,26.67228220648259,22.581384580094873,22.964010058572153,20.6359130440907,20.415009272718716,23.720331530875995,23.00294433230125,24.00065613379115,23.841201539915776,23.241742036517344,18.785234716635774,20.0711720338731,15.980586361554748,16.303601150370795,13.811063720494243,12.676054356996952,11.318319102512008,13.712935999271668,15.501924787675113,16.73574086131477,17.743645119062624,16.62196189687036,17.36604070886218,19.75018638588575,16.710829277368788,21.597318348799284,18.300105588477958,19.526828563416842,18.669964367147685,20.18226614521624,22.22182055876925,18.568239245260006,18.70088505897893,15.085293467636257,13.566596480941373,16.941667163932273,13.367265582378202,12.713808432045337,9.15061858800264,9.104626860541066,6.214251200273656,6.572839123009788,6.755833336121234,5.719629264405647,9.820931916054702,10.589658636221644,14.567487936595114,16.618881833786173,20.44426498062413,23.57856893324396,27.153829033512277,30.38558131228311,34.81583824069414,32.446123484804495,29.031533205272584,25.08515173483881,24.023921768377697,20.56508440448441,18.91299804251016,13.115819354745208,11.851889338126421,7.434323383160022,6.933836628050261,5.859164760779542,6.46995159985357,10.021792102888755,12.156643747104276,14.479322013559687,12.117907907398012,12.12592520543546,9.576881543600628,9.080393057379,10.814660117433862,12.833278025786202,16.961821489377737,17.377774644640503,20.666597292495148,16.143392137175677,17.69314779382575,12.791293040822806,15.80671212796212,16.52075671763469,16.492142052720776,13.041019062130669,11.531041035279735,8.856670442685115,12.525112140540688,11.020785484553794,11.666831623681086,12.901365621735396,12.89869916318635,15.595326636768919,16.37367555738684,19.268274580688978,22.77586257570542,21.87934277462285,25.347105892315476,27.49981458889368,26.693618099306388,31.74625826473324,31.482685324363814,28.760604279849336,31.9443153277632,35.36195041146162,33.77240974814045,32.88646429770917,36.92989956175309,39.102781967283875,36.78690087639259,38.89018634119295,42.08492647142027,40.792285776034134,40.242784613864224,43.96764242442056,42.216744160602225,46.28733258919477,43.7138040902778,42.06049667485652,45.454928426025994,46.915441515901,51.2327351618279,50.09277224607826,49.07787468946739,45.29209076050293,45.0278435615892,40.83467928892766,42.77850894987218,44.14274573733787,38.49383342269493,37.66929084567832,40.641373069765486,38.66908765045566,34.78172571373145,34.59233273304417,37.187818914280406,35.34460976050221,29.495135396435117,31.24414543935333,29.24093315136352,32.778733406627964,35.654337412334144,35.81021607098303,40.14520107423621,36.074791071151175,33.95226542589613,39.32746636389134,39.15585391382976,34.88915101336826,37.06820551915002,40.767152374316446,40.054148680981044,38.90787103231223,43.17962413551151,44.91883453615835,43.08732131840709,44.351758067827156,47.24724588417953,45.18219646971164,45.07484756895514,41.44983687821228,43.81901771967758,45.81986779660629,40.68325716983713,40.242869630686954,43.42407910188983,42.24088216119404,37.71743713174827,41.874877565803125,43.92500313742069,39.297553736793596,37.229549363830635,42.39354831107849,42.78790683554291,39.05992033532523,37.558068797588,41.92121746400555,40.39787292970893,42.62548703481938,38.56413014683398,36.910948097888785,35.31766195824256,35.11686406107288,33.35452014478702,34.12897299328534,31.044759593852856,31.846831311757352,27.708514989981786,25.806238649258262,23.43617620308306,28.550826805901316,28.654900142741788,32.38592318865375,30.874261598451813,28.947788155977726,33.62981761591982,35.31264888829597,30.949248412867856,33.33523564320147,37.654449713151266,38.23705463737706,37.899541807135165,38.444674784576975,38.19761922520113]],"stdvs":[[0.5749640327607646,0.39567807758714624,0.671852529882055,0.3555692052025097,0.4639351213519532,0.4870957352365096,0.49616377200827455,0.7384764993148415,0.6042836447257312,0.5337694567950195,0.6100320774289739,0.7289095713872731,0.6162373621928185,0.5322284880651876,0.6708011512644898,0.6488633620489032,0.6010764883174674,0.6106859590748601,0.6166554896875333,0.6066927758777318,0.6070181742553672,0.6384560622553408,0.7134809775228472,0.7808963623657907,0.79064687303286,0.6262700512201876,0.555318378008152,0.5580730276878295,0.6195741392443971,0.6531785812319898,0.7135501885557277,0.7272084082144831,0.8413903160337827,0.8116821886586799,0.7510063223473846,0.6549290539153129,0.6559487241967027,0.5935779711933582,0.5496467857425342,0.708150905378594,0.771942323382834,0.5576212734241175,0.5996612164172956,0.8362941699912522,1.3207042702162042,2.5665280288110837,2.7270155718288724,1.5274299061337215,3.0226449794797,3.8505349920423875,2.064015060932029,1.7981429665218787,1.4322872729152574,1.1658867285398378,1.3628791331494163,0.8485298139258844,0.6322982111122954,0.7470436344172138,1.127995489629008,0.7693452856098532,0.6507787627704921,0.7450508827588458,0.8100159284432026,0.8323758298306712,0.6507094051374803,0.6654795056183886,0.8227611357033228,0.7065584041364765,0.9184042618291538,0.8266216738695401,1.034468338625602,1.2409241250448877,1.1181616125539748,0.8856256110406715,0.8352813982173177,0.9885191371905684,0.731377379955609,0.7770098421530219,0.7225134006545268,0.7006725135806148,0.7443773656794865,0.6650015558882895,1.2796474763932644,0.8512297176727867,0.6910763631119852,0.6840129953906857,0.6273536509746876,0.7126068509344241,0.6425942296848424,0.7922142223937788,0.740547105315104,0.8618444954267229,0.7672303501667531,0.78295410975907,0.7479582888299123,0.8086621462223571,0.774973248392267,0.7999163936520864,0.8152011600937092,1.0692771519619675,0.876582824689598,1.056259857139625,0.8655297993040003,0.9720195351775929,0.947282559068247,0.8872883208390208,1.0828625866842156,0.7501799107975891,0.7548922032076083,1.001528043536291,0.718402135494588,0.6255289719860593,0.5638080852955468,0.5466031288506958,0.5120041923763275,0.4643486825704545,0.5844388181288167,0.5096963137668834,0.6295156186043853,0.6192725229962557,0.5525398634045802,0.5353562367710353,0.4916169632991771,0.4388113213765612,0.468624888531225,0.5093153370728761,0.6054168991701276,0.5313520729704264,0.5873175269887259,0.6589740193159259,0.5491706315057814,0.6418299754028038,0.5710373944128897,0.7055817920288404,0.611928499762326,0.556200765207155,0.7510111937304417,0.5052091436257294,0.5381526657991054,0.4827827136571127,0.6157251749140391,0.5943595382229989,0.5562561634473254,0.4904706512403986,0.561828516321898,0.5515678102389874,0.5280206603370985,0.5751566320818343,0.6289163939983264,0.6746506475120109,0.8171906136867121,0.8719848820132889,1.2860123260835694,1.6365652435037532,1.2176200150666212,1.0432136429489993,0.8120242081407654,0.8746537729153243,0.7330704006021684,0.774311615813339,0.6010932397062605,0.6221065619864892,0.5053294041196709,0.5405810815878579,0.5537431397089246,0.5842149244222535,0.5464735250268391,0.7537218993549629,0.8299381903648387,0.7788554076231052,0.5753098867724522,0.47675602683775636,0.5477200277301938,0.621474545735672,0.6530312731832937,0.7827008307245925,0.7564076483694339,1.0990193454476045,0.7485789141520602,0.8810634088893674,0.7178621357612616,0.6803398796683794,0.6653529547861572,0.6638423186148812,1.5212312259321854,1.353658646254199,1.635961542485206,1.504329208307998,1.998393635630099,1.0765970731660144,1.750252371953853,2.0310082838974917,0.7604449633775487,0.8332359853539401,0.7272882453536127,0.6214821070602166,0.6151578405542646,0.5645436246129717,0.5774507224609251,0.5991685924656226,0.620030800727909,0.7435424730302831,0.6386321729412766,0.5804947361769083,0.6886818468106731,0.6977684863268346,0.6036887082331623,0.6487881586737959,0.8148875893457306,0.6546401390076981,0.7119109542149785,0.7983742892347385,0.8235555922049217,0.8268209362276296,0.9239609782167935,0.9078811290163846,1.1114847276466902,0.965391713882138,0.7892391864285624,0.8515398805159392,0.8659197896885841,1.4768107197278675,1.003201999779303,1.1378684966568986,1.052497498107456,0.9332611646408099,0.8866623429948064,0.8318285362487375,0.8237872658905666,0.7425631130454893,0.945477059411884,0.8234244368242687,1.0001958543207756,0.7906554249729568,0.8758454125524456,0.9129571758080248,0.8232406982930265,0.8493240229700928,0.6293358902622966,0.6933373064593878,0.7942916712312923,0.9301672992295322,1.1528261790431393,1.4082262685225941,1.3139496845302248,1.1758395585986419,1.0807470844709852,1.296130124183715,1.239781539925349,0.9848777633046766,1.2335678136817474,1.3473292778154553,1.0226789822896025,1.141158248425511,1.405026318202702,1.346004236825008,1.031363146591481,1.1243017736952563,0.9810118112960149,0.9823831521313114,0.9502250472011461,0.897288029336539,0.8739646448981938,0.7814198501813288,0.8284467796691756,0.7760513269643622,0.7653776415858807,0.6823269891648407,0.7339653760235786,0.9019004802449937,0.7987265418921271,0.7682735518728633,0.8370601596408144,1.1861313384863412,1.0562043907573238,1.0563481588492707,1.1962640658078851,1.3013983885704454,1.487017810086332,1.1260864628862282,0.8767607465298397,0.7930351190978451,1.176734003901,1.0335923920694141,1.0951806150055088,0.9914589509274043,0.775416077874117,0.612408776627719,0.5492726816678734,0.5619177324886853,0.6230779310374278,0.7393283590961954,0.8337522440047338,1.3424005642516421,0.7632029835010681,0.7226564282050187,0.9260228658653142,1.2037228478968998,0.6245992924967427,0.6737920789623024,1.0022419182641975,1.5503245019576097,2.735361678946353,2.5802031080471064,0.5455422940304311,0.5354188892674643,1.0592644310788137,0.4673703745463815,0.5469377963650128,0.4722972470710922,0.4290212931786188,0.4492224612843195,0.4572575783263551,0.49703975602054523,0.5435468949394285,0.4786490189109594,0.5141741284676268,0.5476655985488417,0.5543145558071584,0.5143264565386276,0.5169250348595454,0.542276274575409,0.6309619902338272,0.5181214221914282,0.5890105343142439,0.5063538016058734,0.803708933037993,0.9602791083106493,0.7614504960842563,0.6646724130138738,0.45112261506191614,0.5348915261120583,0.4849828708840327,0.43195866500673696,0.49770119025150633,0.43602777516444685,0.48068831177521065,0.4792829027981075,0.4739956852562111,0.46354070004036907,0.475334331023918,0.5682078681042739,0.41870504358614,0.3480396209512947,0.39553332968793975,0.4080104524875396,0.513328813244797,0.8550868155420527,1.0627516918230886,1.6172615939933668,1.4025457363342613,1.3222473745189227,1.9885341025772645,2.6586103907881227,2.0273219517570964,2.842584509248518,1.989088486493771,1.9568954225462647,1.791867069625619,1.1859698771155618,1.0791171738316856,1.3231149627523187,1.1305173161333388,1.3216841910597479,0.8157723697944759,0.6688119703167553,0.5669011545684566,0.7020129958922027,0.6360187230994214,0.54261643008695,0.6149086511352807,0.5532147554665027,0.7362106310053259,0.6755673769752671,0.869780317785706,1.078119808820414,0.6531759543912493,0.8192035039582264,0.6363922540657998,0.7832291840900008,0.5664693375183993,0.515268470008983,0.5582035219469567,0.670949176082674,0.4634195699546312,0.6167904761221075,0.6892019029125304,0.9581236406945292,0.7404173563997606,0.4730313595860307,0.4263259475850865,0.5118493875125233,0.4843857598999103,0.5120080385413754,0.5097432200379324,0.631782196143141,0.622434768882894,0.513730763205839,0.49979836012191375,0.5629905973067956,0.6913891871055747,0.505419773909596,0.4597057814041937,0.449606442547297,0.460443106046377,0.47212890134363306,0.48883013115878676,0.48578020824527646,0.44167471568029154,0.5480022811173793,0.7974814628647402,0.6182481392233654,0.46726346501261323,0.47762176129747586,0.42972274958092177,0.3999923250298787,0.3838253409814268,0.42276414873913587,0.5059950980558531,0.5176386338969637,0.5778420094939326,0.6311123057260739,0.8114417932342126,0.6785662023798126,0.6573576134164993,0.6216998483927976,0.6155884505074677,0.5283865258758415,0.48478107154122,0.4644082263089757,0.43855457965567607,0.4618806203117032,0.595829613275846,0.4788242183282527,0.4861996374750816,0.551504259563403,0.6161487751645482,0.607786321849078,0.526663214491644,0.4305947711200461,0.4880840847323271,0.3724158656794137,0.33509836124698955,0.34944458324079375,0.5319801497230096,0.7996255938304672,0.6856020198506628,0.5305010414001776,0.4281511335703495,0.47236525277269525,0.43105760836896706,0.40591620951521157,0.4034271747238259,0.4475922159079555,0.40119638547446745,0.4401111676022153,0.6220154468233159,0.680816955924845,0.6486710695064705,0.4645579004678107,0.4728623457270466,0.41252960210172096,0.42301250583250305,0.4409190052161065,0.37305875737465605,0.3497153286611967,0.31283495838781483,0.4073020776548506,0.5938006105144584,0.520832008739784,0.6179880805847257,0.7372119826624874,0.6301570730353955,0.617509035963509,0.5114353006622571,0.37915250466265554,0.44485591711393174,0.39873224594269147,0.3788795884860466,0.3864128653573519,0.4165350006471296,0.49384845169174774,0.5717947329814729,0.480226100581231,0.5710776668191859,0.450119457303441,0.5838147410538927,0.5934800890986252,0.5959979006941926,0.43523229622706167,0.411998350802793,1.0829810471161234,1.5454811511548023,1.4491619108621798,1.5995452365983311,1.4398620130410178,1.0042024994599266,0.8610354745387038,0.8057467368557398,0.796557855750353,0.7041007984686493,0.7600165634023733,0.653926405263176,0.6271374152281494,0.6526691767024226,0.6130560069425309,0.4647778356113435,0.495418824286818,0.5026726793723371,0.46449606298866275,0.6256050197463346,0.5191986592686496,0.440999985314738,0.5642413234283066,0.632020279730629,0.5456024371690117,0.5944155723135707,0.8539517731209907,0.7045298315213718,0.7898004761368429,0.6603946163940996,0.683152820982951,0.5541352616140315,0.5695005611776554,0.5920367834907984,1.669216438528013,1.2516434758283945,1.1010799585279023,0.9178065758627779,0.9923202075909809,1.016052161201183,1.2284204766958875,0.9587720992695147,0.9400111225835731,0.995676989605692,1.1049325077426033,0.9161857729050701,0.9044263358497451,1.5420614800732466,1.0590608220937523,0.8056164231965406,1.1665123924306393,0.6710987983011344,0.9079672094572981,1.0222291699352397,0.9593464574997341,1.2165816246156704,1.243297419029322,1.3004442636823457,1.0503313184759806,0.9950871013712521,1.0702802972228556,0.8739268430973707,0.6431716025516232,0.6622916579974938,0.6505950318688906,0.49408917871261926,0.565596597631713,0.5726777876274882,0.7607950642365777,0.5146707572691414,0.4769675833404239,0.47238558163289385,0.5662468729250459,0.6482072866129808,0.7789638487393664,0.5755751960021914,0.49517037737307673,0.6459977063107895,0.609662504945896,0.5482081788141197,0.5723301142990981,0.7617366366127217,0.6690743785257028,0.6620038140173771,0.6924112262880204,0.8605207780151887,0.8767960251058465,1.0884180917910722,0.8977850145084748,1.364670605156719,1.4848983879727369,1.0977152053906147,1.241047026763013,0.9157618099564828,1.0549618980067124,1.8343246116671754,1.3047330144375482,1.081171319806556,0.8975473091893443,0.7055261837653554,0.5584720796586148,0.4764553691766967,0.42368754474485026,0.725692135021664,0.44498167663493216,0.4673298161579397,1.034102140923828,0.5124642126749815,0.4788291412365913,0.8122352319758877,1.013146888899795,0.5976549421093187,0.750286656827773,1.1278062927213717,1.8363401733131821,2.753372292077918,4.149621329458051]]}]}